Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 661.3 | ||
Character | \(\chi\) | \(=\) | 930.661 |
Dual form | 930.2.bg.g.121.3 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{7}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | − | 0.587785i | −0.572061 | − | 0.415627i | ||||
\(3\) | −0.104528 | − | 0.994522i | −0.0603495 | − | 0.574187i | ||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | −0.500000 | + | 0.866025i | −0.204124 | + | 0.353553i | ||||
\(7\) | 2.66379 | + | 0.566206i | 1.00682 | + | 0.214006i | 0.681672 | − | 0.731658i | \(-0.261253\pi\) |
0.325146 | + | 0.945664i | \(0.394586\pi\) | |||||||
\(8\) | 0.309017 | − | 0.951057i | 0.109254 | − | 0.336249i | ||||
\(9\) | −0.978148 | + | 0.207912i | −0.326049 | + | 0.0693039i | ||||
\(10\) | −0.104528 | + | 0.994522i | −0.0330548 | + | 0.314495i | ||||
\(11\) | −2.28838 | + | 2.54150i | −0.689971 | + | 0.766291i | −0.981746 | − | 0.190196i | \(-0.939088\pi\) |
0.291775 | + | 0.956487i | \(0.405754\pi\) | |||||||
\(12\) | 0.913545 | − | 0.406737i | 0.263718 | − | 0.117415i | ||||
\(13\) | −2.31782 | − | 1.03196i | −0.642848 | − | 0.286214i | 0.0593055 | − | 0.998240i | \(-0.481111\pi\) |
−0.702154 | + | 0.712025i | \(0.747778\pi\) | |||||||
\(14\) | −1.82224 | − | 2.02381i | −0.487015 | − | 0.540885i | ||||
\(15\) | −0.809017 | + | 0.587785i | −0.208887 | + | 0.151765i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −3.84386 | − | 4.26904i | −0.932272 | − | 1.03539i | −0.999291 | − | 0.0376417i | \(-0.988015\pi\) |
0.0670189 | − | 0.997752i | \(-0.478651\pi\) | |||||||
\(18\) | 0.913545 | + | 0.406737i | 0.215325 | + | 0.0958687i | ||||
\(19\) | −2.59635 | + | 1.15597i | −0.595643 | + | 0.265198i | −0.682337 | − | 0.731037i | \(-0.739036\pi\) |
0.0866939 | + | 0.996235i | \(0.472370\pi\) | |||||||
\(20\) | 0.669131 | − | 0.743145i | 0.149622 | − | 0.166172i | ||||
\(21\) | 0.284663 | − | 2.70838i | 0.0621185 | − | 0.591018i | ||||
\(22\) | 3.34519 | − | 0.711042i | 0.713197 | − | 0.151595i | ||||
\(23\) | 1.99369 | − | 6.13596i | 0.415714 | − | 1.27944i | −0.495897 | − | 0.868382i | \(-0.665160\pi\) |
0.911611 | − | 0.411055i | \(-0.134840\pi\) | |||||||
\(24\) | −0.978148 | − | 0.207912i | −0.199664 | − | 0.0424398i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 1.26859 | + | 2.19726i | 0.248790 | + | 0.430917i | ||||
\(27\) | 0.309017 | + | 0.951057i | 0.0594703 | + | 0.183031i | ||||
\(28\) | 0.284663 | + | 2.70838i | 0.0537962 | + | 0.511836i | ||||
\(29\) | −4.42446 | − | 3.21456i | −0.821601 | − | 0.596928i | 0.0955694 | − | 0.995423i | \(-0.469533\pi\) |
−0.917171 | + | 0.398494i | \(0.869533\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | 2.97051 | − | 4.70915i | 0.533520 | − | 0.845788i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 2.76678 | + | 2.01018i | 0.481634 | + | 0.349928i | ||||
\(34\) | 0.600470 | + | 5.71309i | 0.102980 | + | 0.979786i | ||||
\(35\) | −0.841547 | − | 2.59001i | −0.142247 | − | 0.437792i | ||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | 2.12769 | − | 3.68526i | 0.349790 | − | 0.605854i | −0.636422 | − | 0.771341i | \(-0.719586\pi\) |
0.986212 | + | 0.165487i | \(0.0529197\pi\) | |||||||
\(38\) | 2.77995 | + | 0.590897i | 0.450968 | + | 0.0958562i | ||||
\(39\) | −0.784029 | + | 2.41299i | −0.125545 | + | 0.386388i | ||||
\(40\) | −0.978148 | + | 0.207912i | −0.154659 | + | 0.0328737i | ||||
\(41\) | 0.165860 | − | 1.57805i | 0.0259030 | − | 0.246450i | −0.973907 | − | 0.226948i | \(-0.927125\pi\) |
0.999810 | − | 0.0195023i | \(-0.00620816\pi\) | |||||||
\(42\) | −1.82224 | + | 2.02381i | −0.281178 | + | 0.312280i | ||||
\(43\) | −3.30706 | + | 1.47240i | −0.504322 | + | 0.224539i | −0.643096 | − | 0.765785i | \(-0.722351\pi\) |
0.138774 | + | 0.990324i | \(0.455684\pi\) | |||||||
\(44\) | −3.12426 | − | 1.39101i | −0.470999 | − | 0.209702i | ||||
\(45\) | 0.669131 | + | 0.743145i | 0.0997481 | + | 0.110781i | ||||
\(46\) | −5.21956 | + | 3.79223i | −0.769582 | + | 0.559134i | ||||
\(47\) | −4.43749 | + | 3.22403i | −0.647275 | + | 0.470273i | −0.862342 | − | 0.506327i | \(-0.831003\pi\) |
0.215067 | + | 0.976599i | \(0.431003\pi\) | |||||||
\(48\) | 0.669131 | + | 0.743145i | 0.0965807 | + | 0.107264i | ||||
\(49\) | 0.380376 | + | 0.169354i | 0.0543394 | + | 0.0241935i | ||||
\(50\) | 0.913545 | − | 0.406737i | 0.129195 | − | 0.0575212i | ||||
\(51\) | −3.84386 | + | 4.26904i | −0.538248 | + | 0.597785i | ||||
\(52\) | 0.265207 | − | 2.52327i | 0.0367776 | − | 0.349915i | ||||
\(53\) | −7.85149 | + | 1.66888i | −1.07848 | + | 0.229239i | −0.712706 | − | 0.701463i | \(-0.752531\pi\) |
−0.365779 | + | 0.930702i | \(0.619197\pi\) | |||||||
\(54\) | 0.309017 | − | 0.951057i | 0.0420519 | − | 0.129422i | ||||
\(55\) | 3.34519 | + | 0.711042i | 0.451065 | + | 0.0958769i | ||||
\(56\) | 1.36165 | − | 2.35845i | 0.181958 | − | 0.315161i | ||||
\(57\) | 1.42103 | + | 2.46129i | 0.188220 | + | 0.326006i | ||||
\(58\) | 1.68999 | + | 5.20126i | 0.221907 | + | 0.682959i | ||||
\(59\) | −0.793845 | − | 7.55293i | −0.103350 | − | 0.983308i | −0.916169 | − | 0.400792i | \(-0.868735\pi\) |
0.812819 | − | 0.582516i | \(-0.197932\pi\) | |||||||
\(60\) | −0.809017 | − | 0.587785i | −0.104444 | − | 0.0758827i | ||||
\(61\) | −6.77906 | −0.867969 | −0.433985 | − | 0.900920i | \(-0.642893\pi\) | ||||
−0.433985 | + | 0.900920i | \(0.642893\pi\) | |||||||
\(62\) | −5.17116 | + | 2.06376i | −0.656738 | + | 0.262097i | ||||
\(63\) | −2.72330 | −0.343104 | ||||||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 0.265207 | + | 2.52327i | 0.0328948 | + | 0.312974i | ||||
\(66\) | −1.05681 | − | 3.25254i | −0.130085 | − | 0.400360i | ||||
\(67\) | 6.63617 | + | 11.4942i | 0.810737 | + | 1.40424i | 0.912349 | + | 0.409413i | \(0.134267\pi\) |
−0.101612 | + | 0.994824i | \(0.532400\pi\) | |||||||
\(68\) | 2.87228 | − | 4.97493i | 0.348315 | − | 0.603299i | ||||
\(69\) | −6.31075 | − | 1.34139i | −0.759725 | − | 0.161484i | ||||
\(70\) | −0.841547 | + | 2.59001i | −0.100584 | + | 0.309566i | ||||
\(71\) | −10.3963 | + | 2.20980i | −1.23381 | + | 0.262255i | −0.778254 | − | 0.627950i | \(-0.783894\pi\) |
−0.455560 | + | 0.890205i | \(0.650561\pi\) | |||||||
\(72\) | −0.104528 | + | 0.994522i | −0.0123188 | + | 0.117206i | ||||
\(73\) | 3.96628 | − | 4.40501i | 0.464218 | − | 0.515567i | −0.464893 | − | 0.885367i | \(-0.653907\pi\) |
0.929111 | + | 0.369800i | \(0.120574\pi\) | |||||||
\(74\) | −3.88748 | + | 1.73082i | −0.451910 | + | 0.201203i | ||||
\(75\) | 0.913545 | + | 0.406737i | 0.105487 | + | 0.0469659i | ||||
\(76\) | −1.90171 | − | 2.11206i | −0.218141 | − | 0.242270i | ||||
\(77\) | −7.53477 | + | 5.47433i | −0.858666 | + | 0.623858i | ||||
\(78\) | 2.05262 | − | 1.49131i | 0.232413 | − | 0.168858i | ||||
\(79\) | −6.36604 | − | 7.07020i | −0.716235 | − | 0.795460i | 0.269636 | − | 0.962962i | \(-0.413096\pi\) |
−0.985872 | + | 0.167502i | \(0.946430\pi\) | |||||||
\(80\) | 0.913545 | + | 0.406737i | 0.102137 | + | 0.0454745i | ||||
\(81\) | 0.913545 | − | 0.406737i | 0.101505 | − | 0.0451930i | ||||
\(82\) | −1.06174 | + | 1.17918i | −0.117250 | + | 0.130219i | ||||
\(83\) | 1.75292 | − | 16.6779i | 0.192408 | − | 1.83064i | −0.292726 | − | 0.956196i | \(-0.594562\pi\) |
0.485134 | − | 0.874440i | \(-0.338771\pi\) | |||||||
\(84\) | 2.66379 | − | 0.566206i | 0.290643 | − | 0.0617782i | ||||
\(85\) | −1.77517 | + | 5.46340i | −0.192544 | + | 0.592589i | ||||
\(86\) | 3.54093 | + | 0.752647i | 0.381828 | + | 0.0811600i | ||||
\(87\) | −2.73447 | + | 4.73623i | −0.293165 | + | 0.507778i | ||||
\(88\) | 1.70996 | + | 2.96174i | 0.182283 | + | 0.315723i | ||||
\(89\) | 4.64008 | + | 14.2807i | 0.491847 | + | 1.51375i | 0.821813 | + | 0.569757i | \(0.192963\pi\) |
−0.329966 | + | 0.943993i | \(0.607037\pi\) | |||||||
\(90\) | −0.104528 | − | 0.994522i | −0.0110183 | − | 0.104832i | ||||
\(91\) | −5.58989 | − | 4.06129i | −0.585980 | − | 0.425739i | ||||
\(92\) | 6.45173 | 0.672640 | ||||||||
\(93\) | −4.99385 | − | 2.46200i | −0.517838 | − | 0.255297i | ||||
\(94\) | 5.48504 | 0.565739 | ||||||||
\(95\) | 2.29927 | + | 1.67052i | 0.235901 | + | 0.171392i | ||||
\(96\) | −0.104528 | − | 0.994522i | −0.0106684 | − | 0.101503i | ||||
\(97\) | 2.60797 | + | 8.02652i | 0.264800 | + | 0.814969i | 0.991740 | + | 0.128268i | \(0.0409418\pi\) |
−0.726940 | + | 0.686701i | \(0.759058\pi\) | |||||||
\(98\) | −0.208187 | − | 0.360590i | −0.0210300 | − | 0.0364251i | ||||
\(99\) | 1.70996 | − | 2.96174i | 0.171858 | − | 0.297666i | ||||
\(100\) | −0.978148 | − | 0.207912i | −0.0978148 | − | 0.0207912i | ||||
\(101\) | 1.27484 | − | 3.92356i | 0.126852 | − | 0.390409i | −0.867382 | − | 0.497642i | \(-0.834199\pi\) |
0.994234 | + | 0.107233i | \(0.0341992\pi\) | |||||||
\(102\) | 5.61902 | − | 1.19436i | 0.556366 | − | 0.118259i | ||||
\(103\) | −0.486874 | + | 4.63230i | −0.0479731 | + | 0.456434i | 0.943996 | + | 0.329956i | \(0.107034\pi\) |
−0.991969 | + | 0.126478i | \(0.959633\pi\) | |||||||
\(104\) | −1.69770 | + | 1.88549i | −0.166473 | + | 0.184887i | ||||
\(105\) | −2.48786 | + | 1.10767i | −0.242790 | + | 0.108097i | ||||
\(106\) | 7.33293 | + | 3.26483i | 0.712237 | + | 0.317108i | ||||
\(107\) | 10.1672 | + | 11.2919i | 0.982905 | + | 1.09163i | 0.995786 | + | 0.0917091i | \(0.0292330\pi\) |
−0.0128812 | + | 0.999917i | \(0.504100\pi\) | |||||||
\(108\) | −0.809017 | + | 0.587785i | −0.0778477 | + | 0.0565597i | ||||
\(109\) | −0.179068 | + | 0.130101i | −0.0171516 | + | 0.0124614i | −0.596328 | − | 0.802741i | \(-0.703374\pi\) |
0.579176 | + | 0.815202i | \(0.303374\pi\) | |||||||
\(110\) | −2.28838 | − | 2.54150i | −0.218188 | − | 0.242322i | ||||
\(111\) | −3.88748 | − | 1.73082i | −0.368983 | − | 0.164282i | ||||
\(112\) | −2.48786 | + | 1.10767i | −0.235081 | + | 0.104665i | ||||
\(113\) | 3.22871 | − | 3.58585i | 0.303732 | − | 0.337328i | −0.571886 | − | 0.820333i | \(-0.693788\pi\) |
0.875618 | + | 0.483005i | \(0.160455\pi\) | |||||||
\(114\) | 0.297076 | − | 2.82649i | 0.0278237 | − | 0.264725i | ||||
\(115\) | −6.31075 | + | 1.34139i | −0.588480 | + | 0.125085i | ||||
\(116\) | 1.68999 | − | 5.20126i | 0.156912 | − | 0.482925i | ||||
\(117\) | 2.48173 | + | 0.527508i | 0.229436 | + | 0.0487681i | ||||
\(118\) | −3.79727 | + | 6.57706i | −0.349567 | + | 0.605468i | ||||
\(119\) | −7.82208 | − | 13.5482i | −0.717049 | − | 1.24196i | ||||
\(120\) | 0.309017 | + | 0.951057i | 0.0282093 | + | 0.0868192i | ||||
\(121\) | −0.0727390 | − | 0.692065i | −0.00661263 | − | 0.0629150i | ||||
\(122\) | 5.48437 | + | 3.98463i | 0.496532 | + | 0.360751i | ||||
\(123\) | −1.58675 | −0.143072 | ||||||||
\(124\) | 5.39660 | + | 1.36992i | 0.484629 | + | 0.123022i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 2.20320 | + | 1.60072i | 0.196276 | + | 0.142603i | ||||
\(127\) | −0.527892 | − | 5.02255i | −0.0468428 | − | 0.445680i | −0.992656 | − | 0.120969i | \(-0.961400\pi\) |
0.945813 | − | 0.324711i | \(-0.105267\pi\) | |||||||
\(128\) | 0.309017 | + | 0.951057i | 0.0273135 | + | 0.0840623i | ||||
\(129\) | 1.81002 | + | 3.13504i | 0.159363 | + | 0.276025i | ||||
\(130\) | 1.26859 | − | 2.19726i | 0.111262 | − | 0.192712i | ||||
\(131\) | −13.4583 | − | 2.86064i | −1.17585 | − | 0.249935i | −0.421763 | − | 0.906706i | \(-0.638589\pi\) |
−0.754090 | + | 0.656771i | \(0.771922\pi\) | |||||||
\(132\) | −1.05681 | + | 3.25254i | −0.0919839 | + | 0.283097i | ||||
\(133\) | −7.57065 | + | 1.60919i | −0.656459 | + | 0.139535i | ||||
\(134\) | 1.38734 | − | 13.1996i | 0.119848 | − | 1.14027i | ||||
\(135\) | 0.669131 | − | 0.743145i | 0.0575896 | − | 0.0639597i | ||||
\(136\) | −5.24791 | + | 2.33652i | −0.450005 | + | 0.200355i | ||||
\(137\) | 11.5459 | + | 5.14055i | 0.986430 | + | 0.439187i | 0.835579 | − | 0.549370i | \(-0.185132\pi\) |
0.150850 | + | 0.988557i | \(0.451799\pi\) | |||||||
\(138\) | 4.31705 | + | 4.79457i | 0.367492 | + | 0.408141i | ||||
\(139\) | −7.22248 | + | 5.24744i | −0.612603 | + | 0.445082i | −0.850330 | − | 0.526250i | \(-0.823598\pi\) |
0.237727 | + | 0.971332i | \(0.423598\pi\) | |||||||
\(140\) | 2.20320 | − | 1.60072i | 0.186204 | − | 0.135285i | ||||
\(141\) | 3.67021 | + | 4.07618i | 0.309088 | + | 0.343276i | ||||
\(142\) | 9.70968 | + | 4.32303i | 0.814818 | + | 0.362780i | ||||
\(143\) | 7.92678 | − | 3.52923i | 0.662870 | − | 0.295129i | ||||
\(144\) | 0.669131 | − | 0.743145i | 0.0557609 | − | 0.0619287i | ||||
\(145\) | −0.571659 | + | 5.43897i | −0.0474737 | + | 0.451682i | ||||
\(146\) | −5.79799 | + | 1.23240i | −0.479845 | + | 0.101994i | ||||
\(147\) | 0.128666 | − | 0.395995i | 0.0106122 | − | 0.0326611i | ||||
\(148\) | 4.16239 | + | 0.884742i | 0.342146 | + | 0.0727254i | ||||
\(149\) | 2.76362 | − | 4.78673i | 0.226404 | − | 0.392144i | −0.730335 | − | 0.683089i | \(-0.760636\pi\) |
0.956740 | + | 0.290945i | \(0.0939696\pi\) | |||||||
\(150\) | −0.500000 | − | 0.866025i | −0.0408248 | − | 0.0707107i | ||||
\(151\) | −4.84612 | − | 14.9148i | −0.394372 | − | 1.21375i | −0.929450 | − | 0.368949i | \(-0.879718\pi\) |
0.535078 | − | 0.844803i | \(-0.320282\pi\) | |||||||
\(152\) | 0.297076 | + | 2.82649i | 0.0240960 | + | 0.229259i | ||||
\(153\) | 4.64744 | + | 3.37656i | 0.375723 | + | 0.272979i | ||||
\(154\) | 9.31348 | 0.750502 | ||||||||
\(155\) | −5.56350 | − | 0.217964i | −0.446871 | − | 0.0175073i | ||||
\(156\) | −2.53717 | −0.203136 | ||||||||
\(157\) | 12.3878 | + | 9.00025i | 0.988652 | + | 0.718298i | 0.959625 | − | 0.281281i | \(-0.0907592\pi\) |
0.0290266 | + | 0.999579i | \(0.490759\pi\) | |||||||
\(158\) | 0.994473 | + | 9.46178i | 0.0791160 | + | 0.752739i | ||||
\(159\) | 2.48045 | + | 7.63403i | 0.196712 | + | 0.605418i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | 8.78501 | − | 15.2161i | 0.692356 | − | 1.19919i | ||||
\(162\) | −0.978148 | − | 0.207912i | −0.0768505 | − | 0.0163351i | ||||
\(163\) | 4.08574 | − | 12.5746i | 0.320020 | − | 0.984919i | −0.653619 | − | 0.756824i | \(-0.726750\pi\) |
0.973639 | − | 0.228095i | \(-0.0732498\pi\) | |||||||
\(164\) | 1.55207 | − | 0.329903i | 0.121196 | − | 0.0257611i | ||||
\(165\) | 0.357479 | − | 3.40119i | 0.0278297 | − | 0.264782i | ||||
\(166\) | −11.2212 | + | 12.4624i | −0.870931 | + | 0.967266i | ||||
\(167\) | 15.8394 | − | 7.05214i | 1.22569 | − | 0.545711i | 0.311206 | − | 0.950342i | \(-0.399267\pi\) |
0.914480 | + | 0.404632i | \(0.132600\pi\) | |||||||
\(168\) | −2.48786 | − | 1.10767i | −0.191943 | − | 0.0854583i | ||||
\(169\) | −4.39134 | − | 4.87708i | −0.337795 | − | 0.375160i | ||||
\(170\) | 4.64744 | − | 3.37656i | 0.356443 | − | 0.258971i | ||||
\(171\) | 2.29927 | − | 1.67052i | 0.175830 | − | 0.127748i | ||||
\(172\) | −2.42227 | − | 2.69021i | −0.184697 | − | 0.205126i | ||||
\(173\) | 3.10094 | + | 1.38063i | 0.235760 | + | 0.104967i | 0.521216 | − | 0.853425i | \(-0.325478\pi\) |
−0.285456 | + | 0.958392i | \(0.592145\pi\) | |||||||
\(174\) | 4.99612 | − | 2.22441i | 0.378755 | − | 0.168632i | ||||
\(175\) | −1.82224 | + | 2.02381i | −0.137749 | + | 0.152985i | ||||
\(176\) | 0.357479 | − | 3.40119i | 0.0269460 | − | 0.256374i | ||||
\(177\) | −7.42858 | + | 1.57899i | −0.558366 | + | 0.118684i | ||||
\(178\) | 4.64008 | − | 14.2807i | 0.347788 | − | 1.07038i | ||||
\(179\) | −4.09187 | − | 0.869753i | −0.305841 | − | 0.0650084i | 0.0524349 | − | 0.998624i | \(-0.483302\pi\) |
−0.358275 | + | 0.933616i | \(0.616635\pi\) | |||||||
\(180\) | −0.500000 | + | 0.866025i | −0.0372678 | + | 0.0645497i | ||||
\(181\) | 3.39954 | + | 5.88818i | 0.252686 | + | 0.437665i | 0.964264 | − | 0.264942i | \(-0.0853527\pi\) |
−0.711578 | + | 0.702607i | \(0.752019\pi\) | |||||||
\(182\) | 2.13515 | + | 6.57131i | 0.158268 | + | 0.487098i | ||||
\(183\) | 0.708604 | + | 6.74192i | 0.0523815 | + | 0.498377i | ||||
\(184\) | −5.21956 | − | 3.79223i | −0.384791 | − | 0.279567i | ||||
\(185\) | −4.25538 | −0.312861 | ||||||||
\(186\) | 2.59299 | + | 4.92711i | 0.190127 | + | 0.361273i | ||||
\(187\) | 19.6459 | 1.43665 | ||||||||
\(188\) | −4.43749 | − | 3.22403i | −0.323638 | − | 0.235136i | ||||
\(189\) | 0.284663 | + | 2.70838i | 0.0207062 | + | 0.197006i | ||||
\(190\) | −0.878244 | − | 2.70296i | −0.0637145 | − | 0.196093i | ||||
\(191\) | −5.64518 | − | 9.77774i | −0.408471 | − | 0.707492i | 0.586248 | − | 0.810132i | \(-0.300605\pi\) |
−0.994719 | + | 0.102639i | \(0.967271\pi\) | |||||||
\(192\) | −0.500000 | + | 0.866025i | −0.0360844 | + | 0.0625000i | ||||
\(193\) | −18.7487 | − | 3.98515i | −1.34956 | − | 0.286858i | −0.524262 | − | 0.851557i | \(-0.675659\pi\) |
−0.825297 | + | 0.564699i | \(0.808992\pi\) | |||||||
\(194\) | 2.60797 | − | 8.02652i | 0.187242 | − | 0.576270i | ||||
\(195\) | 2.48173 | − | 0.527508i | 0.177720 | − | 0.0377756i | ||||
\(196\) | −0.0435229 | + | 0.414093i | −0.00310878 | + | 0.0295780i | ||||
\(197\) | −2.85869 | + | 3.17490i | −0.203674 | + | 0.226202i | −0.836325 | − | 0.548235i | \(-0.815300\pi\) |
0.632651 | + | 0.774437i | \(0.281967\pi\) | |||||||
\(198\) | −3.12426 | + | 1.39101i | −0.222031 | + | 0.0988547i | ||||
\(199\) | 15.4171 | + | 6.86415i | 1.09289 | + | 0.486587i | 0.872395 | − | 0.488801i | \(-0.162566\pi\) |
0.220497 | + | 0.975388i | \(0.429232\pi\) | |||||||
\(200\) | 0.669131 | + | 0.743145i | 0.0473147 | + | 0.0525483i | ||||
\(201\) | 10.7375 | − | 7.80128i | 0.757368 | − | 0.550260i | ||||
\(202\) | −3.33758 | + | 2.42490i | −0.234832 | + | 0.170615i | ||||
\(203\) | −9.96573 | − | 11.0681i | −0.699457 | − | 0.776826i | ||||
\(204\) | −5.24791 | − | 2.33652i | −0.367427 | − | 0.163589i | ||||
\(205\) | −1.44956 | + | 0.645388i | −0.101242 | + | 0.0450758i | ||||
\(206\) | 3.11669 | − | 3.46143i | 0.217150 | − | 0.241169i | ||||
\(207\) | −0.674390 | + | 6.41639i | −0.0468733 | + | 0.445970i | ||||
\(208\) | 2.48173 | − | 0.527508i | 0.172077 | − | 0.0365761i | ||||
\(209\) | 3.00353 | − | 9.24391i | 0.207758 | − | 0.639415i | ||||
\(210\) | 2.66379 | + | 0.566206i | 0.183819 | + | 0.0390719i | ||||
\(211\) | 2.63544 | − | 4.56472i | 0.181431 | − | 0.314248i | −0.760937 | − | 0.648826i | \(-0.775260\pi\) |
0.942368 | + | 0.334578i | \(0.108594\pi\) | |||||||
\(212\) | −4.01345 | − | 6.95149i | −0.275645 | − | 0.477431i | ||||
\(213\) | 3.28441 | + | 10.1084i | 0.225044 | + | 0.692614i | ||||
\(214\) | −1.58828 | − | 15.1115i | −0.108573 | − | 1.03300i | ||||
\(215\) | 2.92867 | + | 2.12780i | 0.199733 | + | 0.145115i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | 10.5792 | − | 10.8623i | 0.718161 | − | 0.737378i | ||||
\(218\) | 0.221340 | 0.0149911 | ||||||||
\(219\) | −4.79546 | − | 3.48411i | −0.324047 | − | 0.235434i | ||||
\(220\) | 0.357479 | + | 3.40119i | 0.0241013 | + | 0.229308i | ||||
\(221\) | 4.50390 | + | 13.8616i | 0.302965 | + | 0.932431i | ||||
\(222\) | 2.12769 | + | 3.68526i | 0.142801 | + | 0.247339i | ||||
\(223\) | 10.7096 | − | 18.5495i | 0.717167 | − | 1.24217i | −0.244951 | − | 0.969536i | \(-0.578772\pi\) |
0.962118 | − | 0.272634i | \(-0.0878949\pi\) | |||||||
\(224\) | 2.66379 | + | 0.566206i | 0.177982 | + | 0.0378313i | ||||
\(225\) | 0.309017 | − | 0.951057i | 0.0206011 | − | 0.0634038i | ||||
\(226\) | −4.71979 | + | 1.00322i | −0.313956 | + | 0.0667334i | ||||
\(227\) | 0.244365 | − | 2.32498i | 0.0162191 | − | 0.154314i | −0.983415 | − | 0.181370i | \(-0.941947\pi\) |
0.999634 | + | 0.0270564i | \(0.00861336\pi\) | |||||||
\(228\) | −1.90171 | + | 2.11206i | −0.125944 | + | 0.139875i | ||||
\(229\) | 7.02998 | − | 3.12995i | 0.464554 | − | 0.206833i | −0.161093 | − | 0.986939i | \(-0.551502\pi\) |
0.625647 | + | 0.780106i | \(0.284835\pi\) | |||||||
\(230\) | 5.89395 | + | 2.62416i | 0.388636 | + | 0.173032i | ||||
\(231\) | 6.23194 | + | 6.92127i | 0.410031 | + | 0.455386i | ||||
\(232\) | −4.42446 | + | 3.21456i | −0.290480 | + | 0.211046i | ||||
\(233\) | −13.6930 | + | 9.94855i | −0.897059 | + | 0.651751i | −0.937709 | − | 0.347422i | \(-0.887057\pi\) |
0.0406500 | + | 0.999173i | \(0.487057\pi\) | |||||||
\(234\) | −1.69770 | − | 1.88549i | −0.110982 | − | 0.123258i | ||||
\(235\) | 5.01084 | + | 2.23097i | 0.326871 | + | 0.145532i | ||||
\(236\) | 6.93795 | − | 3.08898i | 0.451622 | − | 0.201075i | ||||
\(237\) | −6.36604 | + | 7.07020i | −0.413519 | + | 0.459259i | ||||
\(238\) | −1.63526 | + | 15.5585i | −0.105998 | + | 1.00851i | ||||
\(239\) | 16.5676 | − | 3.52156i | 1.07167 | − | 0.227791i | 0.361896 | − | 0.932219i | \(-0.382130\pi\) |
0.709775 | + | 0.704428i | \(0.248796\pi\) | |||||||
\(240\) | 0.309017 | − | 0.951057i | 0.0199470 | − | 0.0613904i | ||||
\(241\) | 19.6396 | + | 4.17452i | 1.26510 | + | 0.268905i | 0.791136 | − | 0.611641i | \(-0.209490\pi\) |
0.473962 | + | 0.880545i | \(0.342823\pi\) | |||||||
\(242\) | −0.347939 | + | 0.602647i | −0.0223663 | + | 0.0387396i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −2.09484 | − | 6.44727i | −0.134109 | − | 0.412744i | ||||
\(245\) | −0.0435229 | − | 0.414093i | −0.00278057 | − | 0.0264554i | ||||
\(246\) | 1.28370 | + | 0.932666i | 0.0818460 | + | 0.0594646i | ||||
\(247\) | 7.21079 | 0.458812 | ||||||||
\(248\) | −3.56073 | − | 4.28033i | −0.226106 | − | 0.271801i | ||||
\(249\) | −16.7698 | −1.06274 | ||||||||
\(250\) | −0.809017 | − | 0.587785i | −0.0511667 | − | 0.0371748i | ||||
\(251\) | −0.476324 | − | 4.53192i | −0.0300653 | − | 0.286052i | −0.999216 | − | 0.0395842i | \(-0.987397\pi\) |
0.969151 | − | 0.246468i | \(-0.0792700\pi\) | |||||||
\(252\) | −0.841547 | − | 2.59001i | −0.0530125 | − | 0.163156i | ||||
\(253\) | 11.0322 | + | 19.1084i | 0.693589 | + | 1.20133i | ||||
\(254\) | −2.52511 | + | 4.37362i | −0.158440 | + | 0.274425i | ||||
\(255\) | 5.61902 | + | 1.19436i | 0.351877 | + | 0.0747937i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 1.69590 | − | 0.360475i | 0.105787 | − | 0.0224858i | −0.154714 | − | 0.987959i | \(-0.549446\pi\) |
0.260501 | + | 0.965474i | \(0.416112\pi\) | |||||||
\(258\) | 0.378396 | − | 3.60020i | 0.0235579 | − | 0.224139i | ||||
\(259\) | 7.75434 | − | 8.61206i | 0.481831 | − | 0.535127i | ||||
\(260\) | −2.31782 | + | 1.03196i | −0.143745 | + | 0.0639995i | ||||
\(261\) | 4.99612 | + | 2.22441i | 0.309252 | + | 0.137688i | ||||
\(262\) | 9.20651 | + | 10.2249i | 0.568780 | + | 0.631694i | ||||
\(263\) | 18.3225 | − | 13.3121i | 1.12981 | − | 0.820856i | 0.144144 | − | 0.989557i | \(-0.453957\pi\) |
0.985667 | + | 0.168700i | \(0.0539571\pi\) | |||||||
\(264\) | 2.76678 | − | 2.01018i | 0.170283 | − | 0.123718i | ||||
\(265\) | 5.37104 | + | 5.96514i | 0.329940 | + | 0.366436i | ||||
\(266\) | 7.07064 | + | 3.14805i | 0.433529 | + | 0.193020i | ||||
\(267\) | 13.7174 | − | 6.10739i | 0.839493 | − | 0.373766i | ||||
\(268\) | −8.88093 | + | 9.86327i | −0.542489 | + | 0.602495i | ||||
\(269\) | −2.00652 | + | 19.0908i | −0.122340 | + | 1.16398i | 0.745279 | + | 0.666753i | \(0.232316\pi\) |
−0.867618 | + | 0.497231i | \(0.834350\pi\) | |||||||
\(270\) | −0.978148 | + | 0.207912i | −0.0595282 | + | 0.0126531i | ||||
\(271\) | −0.152099 | + | 0.468113i | −0.00923936 | + | 0.0284358i | −0.955570 | − | 0.294765i | \(-0.904759\pi\) |
0.946331 | + | 0.323200i | \(0.104759\pi\) | |||||||
\(272\) | 5.61902 | + | 1.19436i | 0.340703 | + | 0.0724187i | ||||
\(273\) | −3.45474 | + | 5.98379i | −0.209091 | + | 0.362156i | ||||
\(274\) | −6.31926 | − | 10.9453i | −0.381760 | − | 0.661228i | ||||
\(275\) | −1.05681 | − | 3.25254i | −0.0637283 | − | 0.196136i | ||||
\(276\) | −0.674390 | − | 6.41639i | −0.0405935 | − | 0.386221i | ||||
\(277\) | 11.1153 | + | 8.07575i | 0.667854 | + | 0.485225i | 0.869306 | − | 0.494274i | \(-0.164566\pi\) |
−0.201452 | + | 0.979498i | \(0.564566\pi\) | |||||||
\(278\) | 8.92748 | 0.535435 | ||||||||
\(279\) | −1.92651 | + | 5.22384i | −0.115337 | + | 0.312743i | ||||
\(280\) | −2.72330 | −0.162748 | ||||||||
\(281\) | 24.0476 | + | 17.4716i | 1.43456 | + | 1.04227i | 0.989145 | + | 0.146945i | \(0.0469440\pi\) |
0.445415 | + | 0.895324i | \(0.353056\pi\) | |||||||
\(282\) | −0.573343 | − | 5.45500i | −0.0341421 | − | 0.324840i | ||||
\(283\) | −0.894417 | − | 2.75273i | −0.0531676 | − | 0.163633i | 0.920947 | − | 0.389688i | \(-0.127417\pi\) |
−0.974115 | + | 0.226055i | \(0.927417\pi\) | |||||||
\(284\) | −5.31428 | − | 9.20461i | −0.315345 | − | 0.546193i | ||||
\(285\) | 1.42103 | − | 2.46129i | 0.0841745 | − | 0.145795i | ||||
\(286\) | −8.48732 | − | 1.80404i | −0.501866 | − | 0.106675i | ||||
\(287\) | 1.33532 | − | 4.10969i | 0.0788215 | − | 0.242588i | ||||
\(288\) | −0.978148 | + | 0.207912i | −0.0576379 | + | 0.0122513i | ||||
\(289\) | −1.67245 | + | 15.9123i | −0.0983792 | + | 0.936016i | ||||
\(290\) | 3.65943 | − | 4.06421i | 0.214889 | − | 0.238659i | ||||
\(291\) | 7.70994 | − | 3.43269i | 0.451965 | − | 0.201228i | ||||
\(292\) | 5.41506 | + | 2.41094i | 0.316892 | + | 0.141090i | ||||
\(293\) | −11.4317 | − | 12.6962i | −0.667847 | − | 0.741719i | 0.310070 | − | 0.950714i | \(-0.399648\pi\) |
−0.977917 | + | 0.208995i | \(0.932981\pi\) | |||||||
\(294\) | −0.336853 | + | 0.244738i | −0.0196457 | + | 0.0142734i | ||||
\(295\) | −6.14411 | + | 4.46396i | −0.357724 | + | 0.259902i | ||||
\(296\) | −2.84740 | − | 3.16236i | −0.165502 | − | 0.183808i | ||||
\(297\) | −3.12426 | − | 1.39101i | −0.181288 | − | 0.0807145i | ||||
\(298\) | −5.04938 | + | 2.24813i | −0.292503 | + | 0.130231i | ||||
\(299\) | −10.9531 | + | 12.1647i | −0.633434 | + | 0.703500i | ||||
\(300\) | −0.104528 | + | 0.994522i | −0.00603495 | + | 0.0574187i | ||||
\(301\) | −9.64301 | + | 2.04968i | −0.555814 | + | 0.118142i | ||||
\(302\) | −4.84612 | + | 14.9148i | −0.278863 | + | 0.858252i | ||||
\(303\) | −4.03533 | − | 0.857735i | −0.231824 | − | 0.0492756i | ||||
\(304\) | 1.42103 | − | 2.46129i | 0.0815016 | − | 0.141165i | ||||
\(305\) | 3.38953 | + | 5.87083i | 0.194084 | + | 0.336163i | ||||
\(306\) | −1.77517 | − | 5.46340i | −0.101479 | − | 0.312322i | ||||
\(307\) | −2.08833 | − | 19.8691i | −0.119187 | − | 1.13399i | −0.876656 | − | 0.481118i | \(-0.840231\pi\) |
0.757469 | − | 0.652871i | \(-0.226436\pi\) | |||||||
\(308\) | −7.53477 | − | 5.47433i | −0.429333 | − | 0.311929i | ||||
\(309\) | 4.65781 | 0.264974 | ||||||||
\(310\) | 4.37285 | + | 3.44648i | 0.248361 | + | 0.195747i | ||||
\(311\) | 19.1911 | 1.08823 | 0.544114 | − | 0.839012i | \(-0.316866\pi\) | ||||
0.544114 | + | 0.839012i | \(0.316866\pi\) | |||||||
\(312\) | 2.05262 | + | 1.49131i | 0.116206 | + | 0.0844289i | ||||
\(313\) | −3.56491 | − | 33.9179i | −0.201501 | − | 1.91715i | −0.365715 | − | 0.930727i | \(-0.619175\pi\) |
0.164214 | − | 0.986425i | \(-0.447491\pi\) | |||||||
\(314\) | −4.73171 | − | 14.5627i | −0.267026 | − | 0.821821i | ||||
\(315\) | 1.36165 | + | 2.35845i | 0.0767203 | + | 0.132884i | ||||
\(316\) | 4.75695 | − | 8.23927i | 0.267599 | − | 0.463495i | ||||
\(317\) | −27.7458 | − | 5.89756i | −1.55836 | − | 0.331240i | −0.653494 | − | 0.756932i | \(-0.726697\pi\) |
−0.904868 | + | 0.425692i | \(0.860031\pi\) | |||||||
\(318\) | 2.48045 | − | 7.63403i | 0.139097 | − | 0.428095i | ||||
\(319\) | 18.2946 | − | 3.88864i | 1.02430 | − | 0.217722i | ||||
\(320\) | −0.104528 | + | 0.994522i | −0.00584332 | + | 0.0555955i | ||||
\(321\) | 10.1672 | − | 11.2919i | 0.567480 | − | 0.630251i | ||||
\(322\) | −16.0510 | + | 7.14637i | −0.894488 | + | 0.398252i | ||||
\(323\) | 14.9149 | + | 6.64053i | 0.829886 | + | 0.369489i | ||||
\(324\) | 0.669131 | + | 0.743145i | 0.0371739 | + | 0.0412858i | ||||
\(325\) | 2.05262 | − | 1.49131i | 0.113859 | − | 0.0827231i | ||||
\(326\) | −10.6966 | + | 7.77153i | −0.592430 | + | 0.430425i | ||||
\(327\) | 0.148106 | + | 0.164488i | 0.00819026 | + | 0.00909621i | ||||
\(328\) | −1.44956 | − | 0.645388i | −0.0800388 | − | 0.0356356i | ||||
\(329\) | −13.6460 | + | 6.07560i | −0.752330 | + | 0.334959i | ||||
\(330\) | −2.28838 | + | 2.54150i | −0.125971 | + | 0.139905i | ||||
\(331\) | −1.01163 | + | 9.62500i | −0.0556041 | + | 0.529038i | 0.930897 | + | 0.365282i | \(0.119028\pi\) |
−0.986501 | + | 0.163756i | \(0.947639\pi\) | |||||||
\(332\) | 16.4033 | − | 3.48663i | 0.900248 | − | 0.191354i | ||||
\(333\) | −1.31498 | + | 4.04710i | −0.0720606 | + | 0.221780i | ||||
\(334\) | −16.9594 | − | 3.60484i | −0.927980 | − | 0.197248i | ||||
\(335\) | 6.63617 | − | 11.4942i | 0.362573 | − | 0.627994i | ||||
\(336\) | 1.36165 | + | 2.35845i | 0.0742842 | + | 0.128664i | ||||
\(337\) | −4.28281 | − | 13.1811i | −0.233300 | − | 0.718022i | −0.997342 | − | 0.0728567i | \(-0.976788\pi\) |
0.764043 | − | 0.645165i | \(-0.223212\pi\) | |||||||
\(338\) | 0.685995 | + | 6.52680i | 0.0373132 | + | 0.355011i | ||||
\(339\) | −3.90370 | − | 2.83620i | −0.212020 | − | 0.154041i | ||||
\(340\) | −5.74456 | −0.311542 | ||||||||
\(341\) | 5.17065 | + | 18.3258i | 0.280006 | + | 0.992400i | ||||
\(342\) | −2.84206 | −0.153681 | ||||||||
\(343\) | −14.5050 | − | 10.5385i | −0.783198 | − | 0.569027i | ||||
\(344\) | 0.378396 | + | 3.60020i | 0.0204018 | + | 0.194110i | ||||
\(345\) | 1.99369 | + | 6.13596i | 0.107337 | + | 0.330349i | ||||
\(346\) | −1.69720 | − | 2.93964i | −0.0912421 | − | 0.158036i | ||||
\(347\) | −16.1412 | + | 27.9574i | −0.866505 | + | 1.50083i | −0.000960890 | 1.00000i | \(0.500306\pi\) | |
−0.865545 | + | 0.500832i | \(0.833027\pi\) | |||||||
\(348\) | −5.34942 | − | 1.13705i | −0.286759 | − | 0.0609525i | ||||
\(349\) | 1.15321 | − | 3.54921i | 0.0617298 | − | 0.189985i | −0.915436 | − | 0.402464i | \(-0.868154\pi\) |
0.977166 | + | 0.212479i | \(0.0681538\pi\) | |||||||
\(350\) | 2.66379 | − | 0.566206i | 0.142386 | − | 0.0302650i | ||||
\(351\) | 0.265207 | − | 2.52327i | 0.0141557 | − | 0.134682i | ||||
\(352\) | −2.28838 | + | 2.54150i | −0.121971 | + | 0.135462i | ||||
\(353\) | −1.30294 | + | 0.580107i | −0.0693486 | + | 0.0308760i | −0.441118 | − | 0.897449i | \(-0.645418\pi\) |
0.371769 | + | 0.928325i | \(0.378751\pi\) | |||||||
\(354\) | 6.93795 | + | 3.08898i | 0.368748 | + | 0.164177i | ||||
\(355\) | 7.11190 | + | 7.89856i | 0.377460 | + | 0.419212i | ||||
\(356\) | −12.1479 | + | 8.82595i | −0.643836 | + | 0.467774i | ||||
\(357\) | −12.6564 | + | 9.19541i | −0.669847 | + | 0.486672i | ||||
\(358\) | 2.79916 | + | 3.10878i | 0.147940 | + | 0.164304i | ||||
\(359\) | 22.2846 | + | 9.92176i | 1.17614 | + | 0.523651i | 0.899328 | − | 0.437274i | \(-0.144056\pi\) |
0.276810 | + | 0.960925i | \(0.410723\pi\) | |||||||
\(360\) | 0.913545 | − | 0.406737i | 0.0481481 | − | 0.0214369i | ||||
\(361\) | −7.30871 | + | 8.11715i | −0.384669 | + | 0.427218i | ||||
\(362\) | 0.710698 | − | 6.76184i | 0.0373535 | − | 0.355395i | ||||
\(363\) | −0.680671 | + | 0.144681i | −0.0357259 | + | 0.00759378i | ||||
\(364\) | 2.13515 | − | 6.57131i | 0.111912 | − | 0.344430i | ||||
\(365\) | −5.79799 | − | 1.23240i | −0.303481 | − | 0.0645068i | ||||
\(366\) | 3.38953 | − | 5.87083i | 0.177173 | − | 0.306873i | ||||
\(367\) | −15.9886 | − | 27.6930i | −0.834597 | − | 1.44556i | −0.894358 | − | 0.447351i | \(-0.852367\pi\) |
0.0597616 | − | 0.998213i | \(-0.480966\pi\) | |||||||
\(368\) | 1.99369 | + | 6.13596i | 0.103929 | + | 0.319859i | ||||
\(369\) | 0.165860 | + | 1.57805i | 0.00863433 | + | 0.0821502i | ||||
\(370\) | 3.44267 | + | 2.50125i | 0.178976 | + | 0.130034i | ||||
\(371\) | −21.8597 | −1.13490 | ||||||||
\(372\) | 0.798314 | − | 5.51024i | 0.0413907 | − | 0.285692i | ||||
\(373\) | 4.43018 | 0.229386 | 0.114693 | − | 0.993401i | \(-0.463412\pi\) | ||||
0.114693 | + | 0.993401i | \(0.463412\pi\) | |||||||
\(374\) | −15.8939 | − | 11.5476i | −0.821854 | − | 0.597112i | ||||
\(375\) | −0.104528 | − | 0.994522i | −0.00539783 | − | 0.0513569i | ||||
\(376\) | 1.69497 | + | 5.21659i | 0.0874115 | + | 0.269025i | ||||
\(377\) | 6.93781 | + | 12.0166i | 0.357315 | + | 0.618888i | ||||
\(378\) | 1.36165 | − | 2.35845i | 0.0700358 | − | 0.121306i | ||||
\(379\) | −25.0801 | − | 5.33095i | −1.28828 | − | 0.273832i | −0.487675 | − | 0.873025i | \(-0.662155\pi\) |
−0.800605 | + | 0.599193i | \(0.795488\pi\) | |||||||
\(380\) | −0.878244 | + | 2.70296i | −0.0450530 | + | 0.138659i | ||||
\(381\) | −4.93986 | + | 1.05000i | −0.253077 | + | 0.0537931i | ||||
\(382\) | −1.18016 | + | 11.2285i | −0.0603824 | + | 0.574501i | ||||
\(383\) | −4.69630 | + | 5.21577i | −0.239970 | + | 0.266513i | −0.851085 | − | 0.525029i | \(-0.824055\pi\) |
0.611115 | + | 0.791542i | \(0.290721\pi\) | |||||||
\(384\) | 0.913545 | − | 0.406737i | 0.0466192 | − | 0.0207562i | ||||
\(385\) | 8.50829 | + | 3.78814i | 0.433623 | + | 0.193061i | ||||
\(386\) | 12.8256 | + | 14.2442i | 0.652805 | + | 0.725013i | ||||
\(387\) | 2.92867 | − | 2.12780i | 0.148873 | − | 0.108162i | ||||
\(388\) | −6.82776 | + | 4.96066i | −0.346627 | + | 0.251839i | ||||
\(389\) | 5.97230 | + | 6.63291i | 0.302808 | + | 0.336302i | 0.875275 | − | 0.483625i | \(-0.160680\pi\) |
−0.572467 | + | 0.819928i | \(0.694014\pi\) | |||||||
\(390\) | −2.31782 | − | 1.03196i | −0.117367 | − | 0.0522554i | ||||
\(391\) | −33.8581 | + | 15.0746i | −1.71228 | + | 0.762356i | ||||
\(392\) | 0.278608 | − | 0.309426i | 0.0140718 | − | 0.0156284i | ||||
\(393\) | −1.43820 | + | 13.6835i | −0.0725475 | + | 0.690244i | ||||
\(394\) | 4.17889 | − | 0.888251i | 0.210530 | − | 0.0447495i | ||||
\(395\) | −2.93996 | + | 9.04825i | −0.147925 | + | 0.455267i | ||||
\(396\) | 3.34519 | + | 0.711042i | 0.168102 | + | 0.0357312i | ||||
\(397\) | −8.07011 | + | 13.9778i | −0.405027 | + | 0.701528i | −0.994325 | − | 0.106388i | \(-0.966071\pi\) |
0.589297 | + | 0.807916i | \(0.299405\pi\) | |||||||
\(398\) | −8.43808 | − | 14.6152i | −0.422963 | − | 0.732593i | ||||
\(399\) | 2.39172 | + | 7.36097i | 0.119736 | + | 0.368510i | ||||
\(400\) | −0.104528 | − | 0.994522i | −0.00522642 | − | 0.0497261i | ||||
\(401\) | −24.1736 | − | 17.5632i | −1.20717 | − | 0.877063i | −0.212202 | − | 0.977226i | \(-0.568063\pi\) |
−0.994971 | + | 0.100163i | \(0.968063\pi\) | |||||||
\(402\) | −13.2723 | −0.661964 | ||||||||
\(403\) | −11.7448 | + | 7.84951i | −0.585049 | + | 0.391012i | ||||
\(404\) | 4.12548 | 0.205250 | ||||||||
\(405\) | −0.809017 | − | 0.587785i | −0.0402004 | − | 0.0292073i | ||||
\(406\) | 1.55680 | + | 14.8120i | 0.0772627 | + | 0.735105i | ||||
\(407\) | 4.49714 | + | 13.8408i | 0.222915 | + | 0.686062i | ||||
\(408\) | 2.87228 | + | 4.97493i | 0.142199 | + | 0.246296i | ||||
\(409\) | 14.7124 | − | 25.4826i | 0.727482 | − | 1.26004i | −0.230462 | − | 0.973081i | \(-0.574024\pi\) |
0.957944 | − | 0.286954i | \(-0.0926429\pi\) | |||||||
\(410\) | 1.55207 | + | 0.329903i | 0.0766513 | + | 0.0162927i | ||||
\(411\) | 3.90552 | − | 12.0199i | 0.192645 | − | 0.592900i | ||||
\(412\) | −4.55603 | + | 0.968414i | −0.224459 | + | 0.0477103i | ||||
\(413\) | 2.16188 | − | 20.5689i | 0.106379 | − | 1.01213i | ||||
\(414\) | 4.31705 | − | 4.79457i | 0.212171 | − | 0.235640i | ||||
\(415\) | −15.3199 | + | 6.82087i | −0.752026 | + | 0.334824i | ||||
\(416\) | −2.31782 | − | 1.03196i | −0.113641 | − | 0.0505961i | ||||
\(417\) | 5.97365 | + | 6.63441i | 0.292531 | + | 0.324888i | ||||
\(418\) | −7.86334 | + | 5.71305i | −0.384609 | + | 0.279434i | ||||
\(419\) | 13.3864 | − | 9.72581i | 0.653970 | − | 0.475137i | −0.210651 | − | 0.977561i | \(-0.567558\pi\) |
0.864621 | + | 0.502424i | \(0.167558\pi\) | |||||||
\(420\) | −1.82224 | − | 2.02381i | −0.0889164 | − | 0.0987517i | ||||
\(421\) | −13.0295 | − | 5.80110i | −0.635018 | − | 0.282728i | 0.0638710 | − | 0.997958i | \(-0.479655\pi\) |
−0.698889 | + | 0.715230i | \(0.746322\pi\) | |||||||
\(422\) | −4.81519 | + | 2.14386i | −0.234400 | + | 0.104361i | ||||
\(423\) | 3.67021 | − | 4.07618i | 0.178452 | − | 0.198191i | ||||
\(424\) | −0.839039 | + | 7.98292i | −0.0407473 | + | 0.387685i | ||||
\(425\) | 5.61902 | − | 1.19436i | 0.272563 | − | 0.0579350i | ||||
\(426\) | 3.28441 | − | 10.1084i | 0.159130 | − | 0.489752i | ||||
\(427\) | −18.0580 | − | 3.83834i | −0.873887 | − | 0.185751i | ||||
\(428\) | −7.59735 | + | 13.1590i | −0.367232 | + | 0.636064i | ||||
\(429\) | −4.33847 | − | 7.51445i | −0.209463 | − | 0.362801i | ||||
\(430\) | −1.11865 | − | 3.44285i | −0.0539462 | − | 0.166029i | ||||
\(431\) | −0.932715 | − | 8.87419i | −0.0449273 | − | 0.427455i | −0.993749 | − | 0.111641i | \(-0.964389\pi\) |
0.948821 | − | 0.315814i | \(-0.102277\pi\) | |||||||
\(432\) | −0.809017 | − | 0.587785i | −0.0389238 | − | 0.0282798i | ||||
\(433\) | 15.5059 | 0.745164 | 0.372582 | − | 0.927999i | \(-0.378473\pi\) | ||||
0.372582 | + | 0.927999i | \(0.378473\pi\) | |||||||
\(434\) | −14.9434 | + | 2.56947i | −0.717306 | + | 0.123339i | ||||
\(435\) | 5.46893 | 0.262215 | ||||||||
\(436\) | −0.179068 | − | 0.130101i | −0.00857581 | − | 0.00623069i | ||||
\(437\) | 1.91665 | + | 18.2358i | 0.0916860 | + | 0.872334i | ||||
\(438\) | 1.83170 | + | 5.63741i | 0.0875222 | + | 0.269366i | ||||
\(439\) | −15.8691 | − | 27.4860i | −0.757390 | − | 1.31184i | −0.944178 | − | 0.329437i | \(-0.893141\pi\) |
0.186788 | − | 0.982400i | \(-0.440192\pi\) | |||||||
\(440\) | 1.70996 | − | 2.96174i | 0.0815192 | − | 0.141195i | ||||
\(441\) | −0.407275 | − | 0.0865689i | −0.0193940 | − | 0.00412233i | ||||
\(442\) | 4.50390 | − | 13.8616i | 0.214229 | − | 0.659328i | ||||
\(443\) | −37.7462 | + | 8.02320i | −1.79338 | + | 0.381194i | −0.979755 | − | 0.200201i | \(-0.935840\pi\) |
−0.813621 | + | 0.581395i | \(0.802507\pi\) | |||||||
\(444\) | 0.444808 | − | 4.23206i | 0.0211096 | − | 0.200845i | ||||
\(445\) | 10.0474 | − | 11.1588i | 0.476292 | − | 0.528976i | ||||
\(446\) | −19.5674 | + | 8.71196i | −0.926543 | + | 0.412523i | ||||
\(447\) | −5.04938 | − | 2.24813i | −0.238828 | − | 0.106333i | ||||
\(448\) | −1.82224 | − | 2.02381i | −0.0860930 | − | 0.0956159i | ||||
\(449\) | −31.6877 | + | 23.0225i | −1.49544 | + | 1.08650i | −0.523279 | + | 0.852161i | \(0.675292\pi\) |
−0.972156 | + | 0.234336i | \(0.924708\pi\) | |||||||
\(450\) | −0.809017 | + | 0.587785i | −0.0381374 | + | 0.0277085i | ||||
\(451\) | 3.63107 | + | 4.03271i | 0.170980 | + | 0.189893i | ||||
\(452\) | 4.40807 | + | 1.96260i | 0.207338 | + | 0.0923129i | ||||
\(453\) | −14.3266 | + | 6.37860i | −0.673121 | + | 0.299693i | ||||
\(454\) | −1.56428 | + | 1.73731i | −0.0734154 | + | 0.0815361i | ||||
\(455\) | −0.722238 | + | 6.87164i | −0.0338590 | + | 0.322147i | ||||
\(456\) | 2.77995 | − | 0.590897i | 0.130183 | − | 0.0276713i | ||||
\(457\) | 2.07952 | − | 6.40010i | 0.0972757 | − | 0.299384i | −0.890564 | − | 0.454857i | \(-0.849690\pi\) |
0.987840 | + | 0.155473i | \(0.0496903\pi\) | |||||||
\(458\) | −7.52711 | − | 1.59994i | −0.351719 | − | 0.0747601i | ||||
\(459\) | 2.87228 | − | 4.97493i | 0.134066 | − | 0.232210i | ||||
\(460\) | −3.22587 | − | 5.58736i | −0.150407 | − | 0.260512i | ||||
\(461\) | 11.0899 | + | 34.1311i | 0.516506 | + | 1.58964i | 0.780524 | + | 0.625125i | \(0.214952\pi\) |
−0.264018 | + | 0.964518i | \(0.585048\pi\) | |||||||
\(462\) | −0.973524 | − | 9.26246i | −0.0452924 | − | 0.430929i | ||||
\(463\) | −3.34959 | − | 2.43362i | −0.155669 | − | 0.113100i | 0.507224 | − | 0.861814i | \(-0.330672\pi\) |
−0.662893 | + | 0.748714i | \(0.730672\pi\) | |||||||
\(464\) | 5.46893 | 0.253889 | ||||||||
\(465\) | 0.364773 | + | 5.55580i | 0.0169160 | + | 0.257644i | ||||
\(466\) | 16.9255 | 0.784058 | ||||||||
\(467\) | 21.2911 | + | 15.4689i | 0.985234 | + | 0.715815i | 0.958872 | − | 0.283838i | \(-0.0916078\pi\) |
0.0263619 | + | 0.999652i | \(0.491608\pi\) | |||||||
\(468\) | 0.265207 | + | 2.52327i | 0.0122592 | + | 0.116638i | ||||
\(469\) | 11.1693 | + | 34.3755i | 0.515750 | + | 1.58731i | ||||
\(470\) | −2.74252 | − | 4.75019i | −0.126503 | − | 0.219110i | ||||
\(471\) | 7.65607 | − | 13.2607i | 0.352773 | − | 0.611021i | ||||
\(472\) | −7.42858 | − | 1.57899i | −0.341928 | − | 0.0726790i | ||||
\(473\) | 3.82570 | − | 11.7743i | 0.175906 | − | 0.541383i | ||||
\(474\) | 9.30599 | − | 1.97805i | 0.427438 | − | 0.0908548i | ||||
\(475\) | 0.297076 | − | 2.82649i | 0.0136308 | − | 0.129688i | ||||
\(476\) | 10.4680 | − | 11.6259i | 0.479799 | − | 0.532871i | ||||
\(477\) | 7.33293 | − | 3.26483i | 0.335752 | − | 0.149486i | ||||
\(478\) | −15.4734 | − | 6.88921i | −0.707738 | − | 0.315105i | ||||
\(479\) | 10.7563 | + | 11.9460i | 0.491466 | + | 0.545828i | 0.936951 | − | 0.349461i | \(-0.113635\pi\) |
−0.445485 | + | 0.895289i | \(0.646969\pi\) | |||||||
\(480\) | −0.809017 | + | 0.587785i | −0.0369264 | + | 0.0268286i | ||||
\(481\) | −8.73465 | + | 6.34609i | −0.398266 | + | 0.289357i | ||||
\(482\) | −13.4350 | − | 14.9211i | −0.611949 | − | 0.679639i | ||||
\(483\) | −16.0510 | − | 7.14637i | −0.730346 | − | 0.325171i | ||||
\(484\) | 0.635715 | − | 0.283039i | 0.0288962 | − | 0.0128654i | ||||
\(485\) | 5.64718 | − | 6.27183i | 0.256425 | − | 0.284789i | ||||
\(486\) | −0.104528 | + | 0.994522i | −0.00474151 | + | 0.0451124i | ||||
\(487\) | 29.0165 | − | 6.16764i | 1.31486 | − | 0.279483i | 0.503484 | − | 0.864004i | \(-0.332051\pi\) |
0.811378 | + | 0.584522i | \(0.198718\pi\) | |||||||
\(488\) | −2.09484 | + | 6.44727i | −0.0948291 | + | 0.291854i | ||||
\(489\) | −12.9328 | − | 2.74895i | −0.584841 | − | 0.124312i | ||||
\(490\) | −0.208187 | + | 0.360590i | −0.00940492 | + | 0.0162898i | ||||
\(491\) | 13.9852 | + | 24.2230i | 0.631141 | + | 1.09317i | 0.987319 | + | 0.158751i | \(0.0507465\pi\) |
−0.356177 | + | 0.934418i | \(0.615920\pi\) | |||||||
\(492\) | −0.490331 | − | 1.50908i | −0.0221058 | − | 0.0680348i | ||||
\(493\) | 3.28393 | + | 31.2445i | 0.147901 | + | 1.40718i | ||||
\(494\) | −5.83365 | − | 4.23840i | −0.262468 | − | 0.190695i | ||||
\(495\) | −3.41992 | −0.153714 | ||||||||
\(496\) | 0.364773 | + | 5.55580i | 0.0163788 | + | 0.249463i | ||||
\(497\) | −28.9448 | −1.29835 | ||||||||
\(498\) | 13.5670 | + | 9.85701i | 0.607953 | + | 0.441703i | ||||
\(499\) | −0.476683 | − | 4.53534i | −0.0213393 | − | 0.203029i | 0.978658 | − | 0.205497i | \(-0.0658812\pi\) |
−0.999997 | + | 0.00246775i | \(0.999214\pi\) | |||||||
\(500\) | 0.309017 | + | 0.951057i | 0.0138197 | + | 0.0425325i | ||||
\(501\) | −8.66917 | − | 15.0154i | −0.387310 | − | 0.670840i | ||||
\(502\) | −2.27844 | + | 3.94638i | −0.101692 | + | 0.176135i | ||||
\(503\) | 35.3006 | + | 7.50338i | 1.57398 | + | 0.334559i | 0.910459 | − | 0.413600i | \(-0.135729\pi\) |
0.663519 | + | 0.748159i | \(0.269062\pi\) | |||||||
\(504\) | −0.841547 | + | 2.59001i | −0.0374855 | + | 0.115368i | ||||
\(505\) | −4.03533 | + | 0.857735i | −0.179570 | + | 0.0381687i | ||||
\(506\) | 2.30636 | − | 21.9436i | 0.102530 | − | 0.975510i | ||||
\(507\) | −4.39134 | + | 4.87708i | −0.195026 | + | 0.216599i | ||||
\(508\) | 4.61361 | − | 2.05411i | 0.204696 | − | 0.0911364i | ||||
\(509\) | −6.79989 | − | 3.02750i | −0.301400 | − | 0.134192i | 0.250465 | − | 0.968126i | \(-0.419417\pi\) |
−0.551864 | + | 0.833934i | \(0.686083\pi\) | |||||||
\(510\) | −3.84386 | − | 4.26904i | −0.170209 | − | 0.189036i | ||||
\(511\) | 13.0595 | − | 9.48828i | 0.577718 | − | 0.419737i | ||||
\(512\) | −0.809017 | + | 0.587785i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | −1.90171 | − | 2.11206i | −0.0839625 | − | 0.0932498i | ||||
\(514\) | −1.58389 | − | 0.705195i | −0.0698626 | − | 0.0311048i | ||||
\(515\) | 4.25512 | − | 1.89450i | 0.187503 | − | 0.0834818i | ||||
\(516\) | −2.42227 | + | 2.69021i | −0.106635 | + | 0.118430i | ||||
\(517\) | 1.96079 | − | 18.6557i | 0.0862354 | − | 0.820475i | ||||
\(518\) | −11.3354 | + | 2.40942i | −0.498050 | + | 0.105864i | ||||
\(519\) | 1.04893 | − | 3.22827i | 0.0460428 | − | 0.141705i | ||||
\(520\) | 2.48173 | + | 0.527508i | 0.108831 | + | 0.0231327i | ||||
\(521\) | 9.63107 | − | 16.6815i | 0.421945 | − | 0.730830i | −0.574185 | − | 0.818726i | \(-0.694681\pi\) |
0.996130 | + | 0.0878958i | \(0.0280143\pi\) | |||||||
\(522\) | −2.73447 | − | 4.73623i | −0.119684 | − | 0.207299i | ||||
\(523\) | 4.28806 | + | 13.1973i | 0.187504 | + | 0.577077i | 0.999983 | − | 0.00591377i | \(-0.00188242\pi\) |
−0.812479 | + | 0.582991i | \(0.801882\pi\) | |||||||
\(524\) | −1.43820 | − | 13.6835i | −0.0628280 | − | 0.597768i | ||||
\(525\) | 2.20320 | + | 1.60072i | 0.0961554 | + | 0.0698610i | ||||
\(526\) | −22.6478 | −0.987492 | ||||||||
\(527\) | −31.5217 | + | 5.42007i | −1.37311 | + | 0.236102i | ||||
\(528\) | −3.41992 | −0.148833 | ||||||||
\(529\) | −15.0678 | − | 10.9474i | −0.655122 | − | 0.475974i | ||||
\(530\) | −0.839039 | − | 7.98292i | −0.0364455 | − | 0.346756i | ||||
\(531\) | 2.34684 | + | 7.22283i | 0.101844 | + | 0.313444i | ||||
\(532\) | −3.86989 | − | 6.70285i | −0.167781 | − | 0.290605i | ||||
\(533\) | −2.01292 | + | 3.48649i | −0.0871894 | + | 0.151016i | ||||
\(534\) | −14.6875 | − | 3.12192i | −0.635589 | − | 0.135099i | ||||
\(535\) | 4.69542 | − | 14.4510i | 0.203001 | − | 0.624772i | ||||
\(536\) | 12.9823 | − | 2.75947i | 0.560750 | − | 0.119191i | ||||
\(537\) | −0.437272 | + | 4.16037i | −0.0188697 | + | 0.179533i | ||||
\(538\) | 12.8446 | − | 14.2653i | 0.553769 | − | 0.615022i | ||||
\(539\) | −1.30086 | + | 0.579179i | −0.0560319 | + | 0.0249470i | ||||
\(540\) | 0.913545 | + | 0.406737i | 0.0393127 | + | 0.0175032i | ||||
\(541\) | 5.76039 | + | 6.39756i | 0.247659 | + | 0.275053i | 0.854138 | − | 0.520047i | \(-0.174085\pi\) |
−0.606479 | + | 0.795099i | \(0.707419\pi\) | |||||||
\(542\) | 0.398200 | − | 0.289310i | 0.0171042 | − | 0.0124269i | ||||
\(543\) | 5.50058 | − | 3.99640i | 0.236052 | − | 0.171502i | ||||
\(544\) | −3.84386 | − | 4.26904i | −0.164804 | − | 0.183033i | ||||
\(545\) | 0.202205 | + | 0.0900273i | 0.00866149 | + | 0.00385635i | ||||
\(546\) | 6.31213 | − | 2.81034i | 0.270134 | − | 0.120272i | ||||
\(547\) | 18.2332 | − | 20.2500i | 0.779596 | − | 0.865829i | −0.214230 | − | 0.976783i | \(-0.568724\pi\) |
0.993825 | + | 0.110954i | \(0.0353908\pi\) | |||||||
\(548\) | −1.32109 | + | 12.5693i | −0.0564340 | + | 0.536933i | ||||
\(549\) | 6.63092 | − | 1.40945i | 0.283001 | − | 0.0601536i | ||||
\(550\) | −1.05681 | + | 3.25254i | −0.0450627 | + | 0.138689i | ||||
\(551\) | 15.2034 | + | 3.23158i | 0.647685 | + | 0.137670i | ||||
\(552\) | −3.22587 | + | 5.58736i | −0.137302 | + | 0.237814i | ||||
\(553\) | −12.9546 | − | 22.4380i | −0.550886 | − | 0.954162i | ||||
\(554\) | −4.24567 | − | 13.0668i | −0.180381 | − | 0.555157i | ||||
\(555\) | 0.444808 | + | 4.23206i | 0.0188810 | + | 0.179641i | ||||
\(556\) | −7.22248 | − | 5.24744i | −0.306301 | − | 0.222541i | ||||
\(557\) | −20.9917 | −0.889447 | −0.444723 | − | 0.895668i | \(-0.646698\pi\) | ||||
−0.444723 | + | 0.895668i | \(0.646698\pi\) | |||||||
\(558\) | 4.62908 | − | 3.09380i | 0.195965 | − | 0.130971i | ||||
\(559\) | 9.18464 | 0.388469 | ||||||||
\(560\) | 2.20320 | + | 1.60072i | 0.0931021 | + | 0.0676426i | ||||
\(561\) | −2.05356 | − | 19.5383i | −0.0867014 | − | 0.824908i | ||||
\(562\) | −9.18537 | − | 28.2697i | −0.387461 | − | 1.19248i | ||||
\(563\) | −5.20172 | − | 9.00964i | −0.219226 | − | 0.379711i | 0.735345 | − | 0.677693i | \(-0.237020\pi\) |
−0.954572 | + | 0.297981i | \(0.903687\pi\) | |||||||
\(564\) | −2.74252 | + | 4.75019i | −0.115481 | + | 0.200019i | ||||
\(565\) | −4.71979 | − | 1.00322i | −0.198563 | − | 0.0422059i | ||||
\(566\) | −0.894417 | + | 2.75273i | −0.0375952 | + | 0.115706i | ||||
\(567\) | 2.66379 | − | 0.566206i | 0.111869 | − | 0.0237784i | ||||
\(568\) | −1.11099 | + | 10.5703i | −0.0466160 | + | 0.443522i | ||||
\(569\) | −10.6236 | + | 11.7987i | −0.445366 | + | 0.494629i | −0.923468 | − | 0.383675i | \(-0.874658\pi\) |
0.478102 | + | 0.878304i | \(0.341325\pi\) | |||||||
\(570\) | −2.59635 | + | 1.15597i | −0.108749 | + | 0.0484182i | ||||
\(571\) | −10.5275 | − | 4.68714i | −0.440561 | − | 0.196151i | 0.174455 | − | 0.984665i | \(-0.444184\pi\) |
−0.615016 | + | 0.788515i | \(0.710850\pi\) | |||||||
\(572\) | 5.80600 | + | 6.44822i | 0.242761 | + | 0.269614i | ||||
\(573\) | −9.13409 | + | 6.63631i | −0.381582 | + | 0.277236i | ||||
\(574\) | −3.49591 | + | 2.53993i | −0.145917 | + | 0.106015i | ||||
\(575\) | 4.31705 | + | 4.79457i | 0.180033 | + | 0.199947i | ||||
\(576\) | 0.913545 | + | 0.406737i | 0.0380644 | + | 0.0169474i | ||||
\(577\) | 29.9664 | − | 13.3419i | 1.24752 | − | 0.555431i | 0.326591 | − | 0.945166i | \(-0.394100\pi\) |
0.920927 | + | 0.389735i | \(0.127433\pi\) | |||||||
\(578\) | 10.7060 | − | 11.8903i | 0.445312 | − | 0.494569i | ||||
\(579\) | −2.00355 | + | 19.0625i | −0.0832648 | + | 0.792211i | ||||
\(580\) | −5.34942 | + | 1.13705i | −0.222123 | + | 0.0472136i | ||||
\(581\) | 14.1125 | − | 43.4339i | 0.585486 | − | 1.80194i | ||||
\(582\) | −8.25515 | − | 1.75469i | −0.342187 | − | 0.0727341i | ||||
\(583\) | 13.7257 | − | 23.7736i | 0.568460 | − | 0.984601i | ||||
\(584\) | −2.96376 | − | 5.13338i | −0.122641 | − | 0.212421i | ||||
\(585\) | −0.784029 | − | 2.41299i | −0.0324156 | − | 0.0997650i | ||||
\(586\) | 1.78581 | + | 16.9908i | 0.0737710 | + | 0.701884i | ||||
\(587\) | −10.6644 | − | 7.74815i | −0.440167 | − | 0.319800i | 0.345534 | − | 0.938406i | \(-0.387698\pi\) |
−0.785701 | + | 0.618606i | \(0.787698\pi\) | |||||||
\(588\) | 0.416373 | 0.0171710 | ||||||||
\(589\) | −2.26886 | + | 15.6604i | −0.0934866 | + | 0.645276i | ||||
\(590\) | 7.59454 | 0.312662 | ||||||||
\(591\) | 3.45632 | + | 2.51117i | 0.142174 | + | 0.103296i | ||||
\(592\) | 0.444808 | + | 4.23206i | 0.0182815 | + | 0.173937i | ||||
\(593\) | −0.0777306 | − | 0.239230i | −0.00319201 | − | 0.00982401i | 0.949448 | − | 0.313925i | \(-0.101644\pi\) |
−0.952640 | + | 0.304101i | \(0.901644\pi\) | |||||||
\(594\) | 1.70996 | + | 2.96174i | 0.0701606 | + | 0.121522i | ||||
\(595\) | −7.82208 | + | 13.5482i | −0.320674 | + | 0.555424i | ||||
\(596\) | 5.40645 | + | 1.14918i | 0.221457 | + | 0.0470721i | ||||
\(597\) | 5.21502 | − | 16.0502i | 0.213437 | − | 0.656890i | ||||
\(598\) | 16.0115 | − | 3.40334i | 0.654757 | − | 0.139173i | ||||
\(599\) | 1.51892 | − | 14.4516i | 0.0620614 | − | 0.590475i | −0.918658 | − | 0.395054i | \(-0.870726\pi\) |
0.980719 | − | 0.195421i | \(-0.0626073\pi\) | |||||||
\(600\) | 0.669131 | − | 0.743145i | 0.0273171 | − | 0.0303388i | ||||
\(601\) | −17.3832 | + | 7.73952i | −0.709078 | + | 0.315702i | −0.729396 | − | 0.684092i | \(-0.760199\pi\) |
0.0203183 | + | 0.999794i | \(0.493532\pi\) | |||||||
\(602\) | 9.00613 | + | 4.00979i | 0.367063 | + | 0.163427i | ||||
\(603\) | −8.88093 | − | 9.86327i | −0.361659 | − | 0.401663i | ||||
\(604\) | 12.6873 | − | 9.21787i | 0.516239 | − | 0.375070i | ||||
\(605\) | −0.562976 | + | 0.409026i | −0.0228882 | + | 0.0166293i | ||||
\(606\) | 2.76048 | + | 3.06583i | 0.112137 | + | 0.124541i | ||||
\(607\) | −12.3697 | − | 5.50733i | −0.502069 | − | 0.223535i | 0.140044 | − | 0.990145i | \(-0.455275\pi\) |
−0.642113 | + | 0.766610i | \(0.721942\pi\) | |||||||
\(608\) | −2.59635 | + | 1.15597i | −0.105296 | + | 0.0468807i | ||||
\(609\) | −9.96573 | + | 11.0681i | −0.403832 | + | 0.448501i | ||||
\(610\) | 0.708604 | − | 6.74192i | 0.0286906 | − | 0.272972i | ||||
\(611\) | 13.6124 | − | 2.89340i | 0.550699 | − | 0.117055i | ||||
\(612\) | −1.77517 | + | 5.46340i | −0.0717568 | + | 0.220845i | ||||
\(613\) | 26.7256 | + | 5.68070i | 1.07944 | + | 0.229441i | 0.713115 | − | 0.701047i | \(-0.247284\pi\) |
0.366321 | + | 0.930489i | \(0.380617\pi\) | |||||||
\(614\) | −9.98927 | + | 17.3019i | −0.403134 | + | 0.698249i | ||||
\(615\) | 0.793373 | + | 1.37416i | 0.0319919 | + | 0.0554116i | ||||
\(616\) | 2.87802 | + | 8.85765i | 0.115959 | + | 0.356885i | ||||
\(617\) | 3.08536 | + | 29.3552i | 0.124212 | + | 1.18180i | 0.862052 | + | 0.506821i | \(0.169179\pi\) |
−0.737840 | + | 0.674976i | \(0.764154\pi\) | |||||||
\(618\) | −3.76825 | − | 2.73779i | −0.151581 | − | 0.110130i | ||||
\(619\) | −30.9615 | −1.24445 | −0.622223 | − | 0.782840i | \(-0.713770\pi\) | ||||
−0.622223 | + | 0.782840i | \(0.713770\pi\) | |||||||
\(620\) | −1.51192 | − | 5.35855i | −0.0607201 | − | 0.215205i | ||||
\(621\) | 6.45173 | 0.258899 | ||||||||
\(622\) | −15.5259 | − | 11.2802i | −0.622533 | − | 0.452297i | ||||
\(623\) | 4.27438 | + | 40.6680i | 0.171249 | + | 1.62933i | ||||
\(624\) | −0.784029 | − | 2.41299i | −0.0313863 | − | 0.0965971i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −17.0524 | + | 29.5355i | −0.681549 | + | 1.18048i | ||||
\(627\) | −9.50723 | − | 2.02082i | −0.379682 | − | 0.0807039i | ||||
\(628\) | −4.73171 | + | 14.5627i | −0.188816 | + | 0.581115i | ||||
\(629\) | −23.9111 | + | 5.08245i | −0.953396 | + | 0.202651i | ||||
\(630\) | 0.284663 | − | 2.70838i | 0.0113412 | − | 0.107905i | ||||
\(631\) | −23.6028 | + | 26.2136i | −0.939614 | + | 1.04355i | 0.0593587 | + | 0.998237i | \(0.481094\pi\) |
−0.998973 | + | 0.0453106i | \(0.985572\pi\) | |||||||
\(632\) | −8.69138 | + | 3.86965i | −0.345724 | + | 0.153926i | ||||
\(633\) | −4.81519 | − | 2.14386i | −0.191387 | − | 0.0852108i | ||||
\(634\) | 18.9804 | + | 21.0798i | 0.753806 | + | 0.837187i | ||||
\(635\) | −4.08571 | + | 2.96845i | −0.162137 | + | 0.117799i | ||||
\(636\) | −6.49389 | + | 4.71809i | −0.257500 | + | 0.187084i | ||||
\(637\) | −0.706877 | − | 0.785067i | −0.0280075 | − | 0.0311055i | ||||
\(638\) | −17.0863 | − | 7.60733i | −0.676455 | − | 0.301177i | ||||
\(639\) | 9.70968 | − | 4.32303i | 0.384109 | − | 0.171016i | ||||
\(640\) | 0.669131 | − | 0.743145i | 0.0264497 | − | 0.0293754i | ||||
\(641\) | −4.61463 | + | 43.9053i | −0.182267 | + | 1.73415i | 0.395951 | + | 0.918272i | \(0.370415\pi\) |
−0.578218 | + | 0.815882i | \(0.696252\pi\) | |||||||
\(642\) | −14.8627 | + | 3.15916i | −0.586583 | + | 0.124682i | ||||
\(643\) | −0.848458 | + | 2.61128i | −0.0334599 | + | 0.102979i | −0.966392 | − | 0.257074i | \(-0.917241\pi\) |
0.932932 | + | 0.360053i | \(0.117241\pi\) | |||||||
\(644\) | 17.1861 | + | 3.65301i | 0.677226 | + | 0.143949i | ||||
\(645\) | 1.81002 | − | 3.13504i | 0.0712693 | − | 0.123442i | ||||
\(646\) | −8.16318 | − | 14.1390i | −0.321176 | − | 0.556293i | ||||
\(647\) | 1.76825 | + | 5.44210i | 0.0695169 | + | 0.213951i | 0.979779 | − | 0.200080i | \(-0.0641203\pi\) |
−0.910263 | + | 0.414032i | \(0.864120\pi\) | |||||||
\(648\) | −0.104528 | − | 0.994522i | −0.00410627 | − | 0.0390685i | ||||
\(649\) | 21.0124 | + | 15.2664i | 0.824808 | + | 0.599258i | ||||
\(650\) | −2.53717 | −0.0995161 | ||||||||
\(651\) | −11.9086 | − | 9.38580i | −0.466734 | − | 0.367859i | ||||
\(652\) | 13.2217 | 0.517803 | ||||||||
\(653\) | 5.89725 | + | 4.28461i | 0.230777 | + | 0.167670i | 0.697165 | − | 0.716911i | \(-0.254445\pi\) |
−0.466387 | + | 0.884581i | \(0.654445\pi\) | |||||||
\(654\) | −0.0231364 | − | 0.220128i | −0.000904704 | − | 0.00860768i | ||||
\(655\) | 4.25174 | + | 13.0855i | 0.166129 | + | 0.511293i | ||||
\(656\) | 0.793373 | + | 1.37416i | 0.0309760 | + | 0.0536520i | ||||
\(657\) | −2.96376 | + | 5.13338i | −0.115627 | + | 0.200272i | ||||
\(658\) | 14.6110 | + | 3.10567i | 0.569597 | + | 0.121071i | ||||
\(659\) | 3.11208 | − | 9.57799i | 0.121229 | − | 0.373106i | −0.871966 | − | 0.489567i | \(-0.837155\pi\) |
0.993195 | + | 0.116461i | \(0.0371550\pi\) | |||||||
\(660\) | 3.34519 | − | 0.711042i | 0.130211 | − | 0.0276773i | ||||
\(661\) | 0.770472 | − | 7.33055i | 0.0299679 | − | 0.285125i | −0.969267 | − | 0.246012i | \(-0.920880\pi\) |
0.999235 | − | 0.0391138i | \(-0.0124535\pi\) | |||||||
\(662\) | 6.47586 | − | 7.19217i | 0.251691 | − | 0.279532i | ||||
\(663\) | 13.3149 | − | 5.92816i | 0.517106 | − | 0.230231i | ||||
\(664\) | −15.3199 | − | 6.82087i | −0.594529 | − | 0.264701i | ||||
\(665\) | 5.17893 | + | 5.75178i | 0.200830 | + | 0.223044i | ||||
\(666\) | 3.44267 | − | 2.50125i | 0.133401 | − | 0.0969214i | ||||
\(667\) | −28.5454 | + | 20.7395i | −1.10528 | + | 0.803035i | ||||
\(668\) | 11.6016 | + | 12.8849i | 0.448880 | + | 0.498531i | ||||
\(669\) | −19.5674 | − | 8.71196i | −0.756519 | − | 0.336824i | ||||
\(670\) | −12.1249 | + | 5.39834i | −0.468425 | + | 0.208556i | ||||
\(671\) | 15.5130 | − | 17.2290i | 0.598874 | − | 0.665117i | ||||
\(672\) | 0.284663 | − | 2.70838i | 0.0109811 | − | 0.104478i | ||||
\(673\) | 36.1456 | − | 7.68298i | 1.39331 | − | 0.296157i | 0.550710 | − | 0.834697i | \(-0.314357\pi\) |
0.842600 | + | 0.538539i | \(0.181024\pi\) | |||||||
\(674\) | −4.28281 | + | 13.1811i | −0.164968 | + | 0.507718i | ||||
\(675\) | −0.978148 | − | 0.207912i | −0.0376489 | − | 0.00800252i | ||||
\(676\) | 3.28138 | − | 5.68351i | 0.126207 | − | 0.218597i | ||||
\(677\) | −21.3936 | − | 37.0548i | −0.822224 | − | 1.42413i | −0.904023 | − | 0.427484i | \(-0.859400\pi\) |
0.0817992 | − | 0.996649i | \(-0.473933\pi\) | |||||||
\(678\) | 1.49108 | + | 4.58907i | 0.0572645 | + | 0.176242i | ||||
\(679\) | 2.40243 | + | 22.8576i | 0.0921969 | + | 0.877195i | ||||
\(680\) | 4.64744 | + | 3.37656i | 0.178221 | + | 0.129485i | ||||
\(681\) | −2.33778 | −0.0895840 | ||||||||
\(682\) | 6.58852 | − | 17.8651i | 0.252288 | − | 0.684092i | ||||
\(683\) | 49.7881 | 1.90509 | 0.952544 | − | 0.304402i | \(-0.0984565\pi\) | ||||
0.952544 | + | 0.304402i | \(0.0984565\pi\) | |||||||
\(684\) | 2.29927 | + | 1.67052i | 0.0879149 | + | 0.0638739i | ||||
\(685\) | −1.32109 | − | 12.5693i | −0.0504761 | − | 0.480248i | ||||
\(686\) | 5.54043 | + | 17.0517i | 0.211535 | + | 0.651036i | ||||
\(687\) | −3.84764 | − | 6.66430i | −0.146796 | − | 0.254259i | ||||
\(688\) | 1.81002 | − | 3.13504i | 0.0690062 | − | 0.119522i | ||||
\(689\) | 19.9206 | + | 4.23425i | 0.758913 | + | 0.161312i | ||||
\(690\) | 1.99369 | − | 6.13596i | 0.0758987 | − | 0.233592i | ||||
\(691\) | −42.3245 | + | 8.99634i | −1.61010 | + | 0.342237i | −0.923141 | − | 0.384461i | \(-0.874387\pi\) |
−0.686957 | + | 0.726698i | \(0.741054\pi\) | |||||||
\(692\) | −0.354812 | + | 3.37581i | −0.0134879 | + | 0.128329i | ||||
\(693\) | 6.23194 | − | 6.92127i | 0.236732 | − | 0.262917i | ||||
\(694\) | 29.4915 | − | 13.1304i | 1.11948 | − | 0.498425i | ||||
\(695\) | 8.15566 | + | 3.63113i | 0.309362 | + | 0.137737i | ||||
\(696\) | 3.65943 | + | 4.06421i | 0.138710 | + | 0.154053i | ||||
\(697\) | −7.37431 | + | 5.35775i | −0.279322 | + | 0.202939i | ||||
\(698\) | −3.01914 | + | 2.19353i | −0.114276 | + | 0.0830264i | ||||
\(699\) | 11.3254 | + | 12.5781i | 0.428365 | + | 0.475747i | ||||
\(700\) | −2.48786 | − | 1.10767i | −0.0940323 | − | 0.0418659i | ||||
\(701\) | 25.4521 | − | 11.3320i | 0.961314 | − | 0.428004i | 0.134770 | − | 0.990877i | \(-0.456970\pi\) |
0.826544 | + | 0.562873i | \(0.190304\pi\) | |||||||
\(702\) | −1.69770 | + | 1.88549i | −0.0640755 | + | 0.0711631i | ||||
\(703\) | −1.26417 | + | 12.0278i | −0.0476791 | + | 0.453636i | ||||
\(704\) | 3.34519 | − | 0.711042i | 0.126077 | − | 0.0267984i | ||||
\(705\) | 1.69497 | − | 5.21659i | 0.0638363 | − | 0.196468i | ||||
\(706\) | 1.39508 | + | 0.296533i | 0.0525045 | + | 0.0111602i | ||||
\(707\) | 5.61746 | − | 9.72973i | 0.211266 | − | 0.365924i | ||||
\(708\) | −3.79727 | − | 6.57706i | −0.142710 | − | 0.247181i | ||||
\(709\) | 10.8800 | + | 33.4853i | 0.408608 | + | 1.25757i | 0.917845 | + | 0.396940i | \(0.129928\pi\) |
−0.509237 | + | 0.860626i | \(0.670072\pi\) | |||||||
\(710\) | −1.11099 | − | 10.5703i | −0.0416946 | − | 0.396698i | ||||
\(711\) | 7.69690 | + | 5.59213i | 0.288656 | + | 0.209721i | ||||
\(712\) | 15.0156 | 0.562733 | ||||||||
\(713\) | −22.9729 | − | 27.6155i | −0.860340 | − | 1.03421i | ||||
\(714\) | 15.6442 | 0.585468 | ||||||||
\(715\) | −7.01979 | − | 5.10017i | −0.262525 | − | 0.190736i | ||||
\(716\) | −0.437272 | − | 4.16037i | −0.0163416 | − | 0.155480i | ||||
\(717\) | −5.23406 | − | 16.1088i | −0.195469 | − | 0.601593i | ||||
\(718\) | −12.1968 | − | 21.1255i | −0.455180 | − | 0.788395i | ||||
\(719\) | 3.40469 | − | 5.89709i | 0.126973 | − | 0.219925i | −0.795529 | − | 0.605915i | \(-0.792807\pi\) |
0.922503 | + | 0.385991i | \(0.126140\pi\) | |||||||
\(720\) | −0.978148 | − | 0.207912i | −0.0364534 | − | 0.00774841i | ||||
\(721\) | −3.91977 | + | 12.0638i | −0.145980 | + | 0.449280i | ||||
\(722\) | 10.6840 | − | 2.27096i | 0.397618 | − | 0.0845163i | ||||
\(723\) | 2.09876 | − | 19.9684i | 0.0780537 | − | 0.742631i | ||||
\(724\) | −4.54948 | + | 5.05271i | −0.169080 | + | 0.187782i | ||||
\(725\) | 4.99612 | − | 2.22441i | 0.185551 | − | 0.0826127i | ||||
\(726\) | 0.635715 | + | 0.283039i | 0.0235936 | + | 0.0105046i | ||||
\(727\) | 28.2295 | + | 31.3520i | 1.04697 | + | 1.16278i | 0.986357 | + | 0.164622i | \(0.0526404\pi\) |
0.0606178 | + | 0.998161i | \(0.480693\pi\) | |||||||
\(728\) | −5.58989 | + | 4.06129i | −0.207175 | + | 0.150522i | ||||
\(729\) | −0.809017 | + | 0.587785i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | 3.96628 | + | 4.40501i | 0.146799 | + | 0.163037i | ||||
\(731\) | 18.9976 | + | 8.45828i | 0.702652 | + | 0.312841i | ||||
\(732\) | −6.19298 | + | 2.75729i | −0.228899 | + | 0.101912i | ||||
\(733\) | 8.75247 | − | 9.72060i | 0.323280 | − | 0.359039i | −0.559496 | − | 0.828833i | \(-0.689005\pi\) |
0.882776 | + | 0.469794i | \(0.155672\pi\) | |||||||
\(734\) | −3.34252 | + | 31.8020i | −0.123375 | + | 1.17383i | ||||
\(735\) | −0.407275 | + | 0.0865689i | −0.0150226 | + | 0.00319314i | ||||
\(736\) | 1.99369 | − | 6.13596i | 0.0734886 | − | 0.226175i | ||||
\(737\) | −44.3985 | − | 9.43719i | −1.63544 | − | 0.347623i | ||||
\(738\) | 0.793373 | − | 1.37416i | 0.0292045 | − | 0.0505836i | ||||
\(739\) | −17.2682 | − | 29.9093i | −0.635220 | − | 1.10023i | −0.986469 | − | 0.163951i | \(-0.947576\pi\) |
0.351249 | − | 0.936282i | \(-0.385757\pi\) | |||||||
\(740\) | −1.31498 | − | 4.04710i | −0.0483397 | − | 0.148774i | ||||
\(741\) | −0.753733 | − | 7.17129i | −0.0276891 | − | 0.263444i | ||||
\(742\) | 17.6848 | + | 12.8488i | 0.649231 | + | 0.471694i | ||||
\(743\) | 5.49552 | 0.201611 | 0.100805 | − | 0.994906i | \(-0.467858\pi\) | ||||
0.100805 | + | 0.994906i | \(0.467858\pi\) | |||||||
\(744\) | −3.88468 | + | 3.98864i | −0.142419 | + | 0.146231i | ||||
\(745\) | −5.52724 | −0.202502 | ||||||||
\(746\) | −3.58409 | − | 2.60399i | −0.131223 | − | 0.0953390i | ||||
\(747\) | 1.75292 | + | 16.6779i | 0.0641359 | + | 0.610212i | ||||
\(748\) | 6.07093 | + | 18.6844i | 0.221975 | + | 0.683169i | ||||
\(749\) | 20.6899 | + | 35.8359i | 0.755992 | + | 1.30942i | ||||
\(750\) | −0.500000 | + | 0.866025i | −0.0182574 | + | 0.0316228i | ||||
\(751\) | −13.3088 | − | 2.82886i | −0.485643 | − | 0.103227i | −0.0414183 | − | 0.999142i | \(-0.513188\pi\) |
−0.444225 | + | 0.895915i | \(0.646521\pi\) | |||||||
\(752\) | 1.69497 | − | 5.21659i | 0.0618093 | − | 0.190229i | ||||
\(753\) | −4.45730 | + | 0.947429i | −0.162433 | + | 0.0345262i | ||||
\(754\) | 1.45040 | − | 13.7996i | 0.0528204 | − | 0.502552i | ||||
\(755\) | −10.4936 | + | 11.6543i | −0.381900 | + | 0.424143i | ||||
\(756\) | −2.48786 | + | 1.10767i | −0.0904826 | + | 0.0402854i | ||||
\(757\) | 5.82174 | + | 2.59201i | 0.211595 | + | 0.0942080i | 0.509797 | − | 0.860295i | \(-0.329720\pi\) |
−0.298203 | + | 0.954503i | \(0.596387\pi\) | |||||||
\(758\) | 17.1568 | + | 19.0546i | 0.623163 | + | 0.692093i | ||||
\(759\) | 17.8505 | − | 12.9691i | 0.647932 | − | 0.470750i | ||||
\(760\) | 2.29927 | − | 1.67052i | 0.0834034 | − | 0.0605961i | ||||
\(761\) | −23.9983 | − | 26.6528i | −0.869939 | − | 0.966165i | 0.129739 | − | 0.991548i | \(-0.458586\pi\) |
−0.999678 | + | 0.0253832i | \(0.991919\pi\) | |||||||
\(762\) | 4.61361 | + | 2.05411i | 0.167133 | + | 0.0744125i | ||||
\(763\) | −0.550664 | + | 0.245171i | −0.0199354 | + | 0.00887580i | ||||
\(764\) | 7.55473 | − | 8.39037i | 0.273320 | − | 0.303553i | ||||
\(765\) | 0.600470 | − | 5.71309i | 0.0217100 | − | 0.206557i | ||||
\(766\) | 6.86513 | − | 1.45923i | 0.248047 | − | 0.0527241i | ||||
\(767\) | −5.95434 | + | 18.3256i | −0.214999 | + | 0.661698i | ||||
\(768\) | −0.978148 | − | 0.207912i | −0.0352959 | − | 0.00750237i | ||||
\(769\) | −4.79620 | + | 8.30727i | −0.172955 | + | 0.299568i | −0.939452 | − | 0.342681i | \(-0.888665\pi\) |
0.766496 | + | 0.642249i | \(0.221998\pi\) | |||||||
\(770\) | −4.65674 | − | 8.06571i | −0.167817 | − | 0.290668i | ||||
\(771\) | −0.535770 | − | 1.64893i | −0.0192953 | − | 0.0593848i | ||||
\(772\) | −2.00355 | − | 19.0625i | −0.0721094 | − | 0.686075i | ||||
\(773\) | 17.5041 | + | 12.7175i | 0.629579 | + | 0.457416i | 0.856254 | − | 0.516554i | \(-0.172786\pi\) |
−0.226675 | + | 0.973970i | \(0.572786\pi\) | |||||||
\(774\) | −3.62003 | −0.130119 | ||||||||
\(775\) | 2.59299 | + | 4.92711i | 0.0931428 | + | 0.176987i | ||||
\(776\) | 8.43958 | 0.302963 | ||||||||
\(777\) | −9.37543 | − | 6.81165i | −0.336342 | − | 0.244367i | ||||
\(778\) | −0.932965 | − | 8.87657i | −0.0334484 | − | 0.318241i | ||||
\(779\) | 1.39355 | + | 4.28891i | 0.0499291 | + | 0.153666i | ||||
\(780\) | 1.26859 | + | 2.19726i | 0.0454227 | + | 0.0786744i | ||||
\(781\) | 18.1744 | − | 31.4790i | 0.650332 | − | 1.12641i | ||||
\(782\) | 36.2524 | + | 7.70569i | 1.29638 | + | 0.275555i | ||||
\(783\) | 1.68999 | − | 5.20126i | 0.0603954 | − | 0.185878i | ||||
\(784\) | −0.407275 | + | 0.0865689i | −0.0145455 | + | 0.00309175i | ||||
\(785\) | 1.60055 | − | 15.2283i | 0.0571262 | − | 0.543520i | ||||
\(786\) | 9.20651 | − | 10.2249i | 0.328385 | − | 0.364709i | ||||
\(787\) | 9.65488 | − | 4.29863i | 0.344159 | − | 0.153230i | −0.227376 | − | 0.973807i | \(-0.573015\pi\) |
0.571535 | + | 0.820577i | \(0.306348\pi\) | |||||||
\(788\) | −3.90290 | − | 1.73768i | −0.139035 | − | 0.0619023i | ||||
\(789\) | −15.1543 | − | 16.8306i | −0.539509 | − | 0.599185i | ||||
\(790\) | 7.69690 | − | 5.59213i | 0.273843 | − | 0.198959i | ||||
\(791\) | 10.6309 | − | 7.72383i | 0.377993 | − | 0.274628i | ||||
\(792\) | −2.28838 | − | 2.54150i | −0.0813139 | − | 0.0903082i | ||||
\(793\) | 15.7126 | + | 6.99572i | 0.557972 | + | 0.248425i | ||||
\(794\) | 14.7448 | − | 6.56482i | 0.523275 | − | 0.232977i | ||||
\(795\) | 5.37104 | − | 5.96514i | 0.190491 | − | 0.211562i | ||||
\(796\) | −1.76404 | + | 16.7837i | −0.0625247 | + | 0.594883i | ||||
\(797\) | −23.1647 | + | 4.92380i | −0.820535 | + | 0.174410i | −0.599007 | − | 0.800744i | \(-0.704438\pi\) |
−0.221528 | + | 0.975154i | \(0.571104\pi\) | |||||||
\(798\) | 2.39172 | − | 7.36097i | 0.0846661 | − | 0.260576i | ||||
\(799\) | 30.8206 | + | 6.55112i | 1.09035 | + | 0.231762i | ||||
\(800\) | −0.500000 | + | 0.866025i | −0.0176777 | + | 0.0306186i | ||||
\(801\) | −7.50780 | − | 13.0039i | −0.265275 | − | 0.459470i | ||||
\(802\) | 9.23350 | + | 28.4178i | 0.326046 | + | 1.00347i | ||||
\(803\) | 2.11897 | + | 20.1606i | 0.0747767 | + | 0.711453i | ||||
\(804\) | 10.7375 | + | 7.80128i | 0.378684 | + | 0.275130i | ||||
\(805\) | −17.5700 | −0.619262 | ||||||||
\(806\) | 14.1155 | + | 0.553013i | 0.497199 | + | 0.0194791i | ||||
\(807\) | 19.1959 | 0.675728 | ||||||||
\(808\) | −3.33758 | − | 2.42490i | −0.117416 | − | 0.0853075i | ||||
\(809\) | 3.37637 | + | 32.1240i | 0.118707 | + | 1.12942i | 0.877997 | + | 0.478667i | \(0.158880\pi\) |
−0.759290 | + | 0.650752i | \(0.774454\pi\) | |||||||
\(810\) | 0.309017 | + | 0.951057i | 0.0108578 | + | 0.0334167i | ||||
\(811\) | 21.1115 | + | 36.5663i | 0.741326 | + | 1.28401i | 0.951892 | + | 0.306435i | \(0.0991363\pi\) |
−0.210565 | + | 0.977580i | \(0.567530\pi\) | |||||||
\(812\) | 7.44678 | − | 12.8982i | 0.261331 | − | 0.452638i | ||||
\(813\) | 0.481447 | + | 0.102335i | 0.0168851 | + | 0.00358904i | ||||
\(814\) | 4.49714 | − | 13.8408i | 0.157625 | − | 0.485119i | ||||
\(815\) | −12.9328 | + | 2.74895i | −0.453016 | + | 0.0962915i | ||||
\(816\) | 0.600470 | − | 5.71309i | 0.0210206 | − | 0.199998i | ||||
\(817\) | 6.88424 | − | 7.64573i | 0.240849 | − | 0.267490i | ||||
\(818\) | −26.8809 | + | 11.9682i | −0.939869 | + | 0.418457i | ||||
\(819\) | 6.31213 | + | 2.81034i | 0.220564 | + | 0.0982013i | ||||
\(820\) | −1.06174 | − | 1.17918i | −0.0370776 | − | 0.0411788i | ||||
\(821\) | 4.54563 | − | 3.30260i | 0.158644 | − | 0.115261i | −0.505631 | − | 0.862750i | \(-0.668740\pi\) |
0.664275 | + | 0.747488i | \(0.268740\pi\) | |||||||
\(822\) | −10.2248 | + | 7.42874i | −0.356630 | + | 0.259107i | ||||
\(823\) | −15.1885 | − | 16.8686i | −0.529439 | − | 0.588001i | 0.417797 | − | 0.908541i | \(-0.362802\pi\) |
−0.947235 | + | 0.320539i | \(0.896136\pi\) | |||||||
\(824\) | 4.25512 | + | 1.89450i | 0.148234 | + | 0.0659982i | ||||
\(825\) | −3.12426 | + | 1.39101i | −0.108773 | + | 0.0484287i | ||||
\(826\) | −13.8391 | + | 15.3699i | −0.481524 | + | 0.534787i | ||||
\(827\) | 3.29773 | − | 31.3758i | 0.114673 | − | 1.09104i | −0.774216 | − | 0.632921i | \(-0.781856\pi\) |
0.888890 | − | 0.458121i | \(-0.151477\pi\) | |||||||
\(828\) | −6.31075 | + | 1.34139i | −0.219314 | + | 0.0466165i | ||||
\(829\) | 4.86179 | − | 14.9631i | 0.168857 | − | 0.519689i | −0.830443 | − | 0.557104i | \(-0.811912\pi\) |
0.999300 | + | 0.0374154i | \(0.0119125\pi\) | |||||||
\(830\) | 16.4033 | + | 3.48663i | 0.569367 | + | 0.121023i | ||||
\(831\) | 6.86964 | − | 11.8986i | 0.238305 | − | 0.412757i | ||||
\(832\) | 1.26859 | + | 2.19726i | 0.0439803 | + | 0.0761761i | ||||
\(833\) | −0.739132 | − | 2.27481i | −0.0256094 | − | 0.0788176i | ||||
\(834\) | −0.933176 | − | 8.87857i | −0.0323132 | − | 0.307440i | ||||
\(835\) | −14.0270 | − | 10.1912i | −0.485425 | − | 0.352682i | ||||
\(836\) | 9.71962 | 0.336160 | ||||||||
\(837\) | 5.39660 | + | 1.36992i | 0.186534 | + | 0.0473513i | ||||
\(838\) | −16.5465 | −0.571591 | ||||||||
\(839\) | −3.41799 | − | 2.48331i | −0.118002 | − | 0.0857335i | 0.527219 | − | 0.849729i | \(-0.323235\pi\) |
−0.645221 | + | 0.763996i | \(0.723235\pi\) | |||||||
\(840\) | 0.284663 | + | 2.70838i | 0.00982179 | + | 0.0934481i | ||||
\(841\) | 0.280961 | + | 0.864710i | 0.00968832 | + | 0.0298176i | ||||
\(842\) | 7.13128 | + | 12.3517i | 0.245760 | + | 0.425669i | ||||
\(843\) | 14.8622 | − | 25.7422i | 0.511883 | − | 0.886607i | ||||
\(844\) | 5.15570 | + | 1.09588i | 0.177466 | + | 0.0377217i | ||||
\(845\) | −2.02800 | + | 6.24155i | −0.0697654 | + | 0.214716i | ||||
\(846\) | −5.36518 | + | 1.14040i | −0.184459 | + | 0.0392079i | ||||
\(847\) | 0.198090 | − | 1.88470i | 0.00680646 | − | 0.0647591i | ||||
\(848\) | 5.37104 | − | 5.96514i | 0.184442 | − | 0.204844i | ||||
\(849\) | −2.64416 | + | 1.17726i | −0.0907474 | + | 0.0404033i | ||||
\(850\) | −5.24791 | − | 2.33652i | −0.180002 | − | 0.0801420i | ||||
\(851\) | −18.3707 | − | 20.4027i | −0.629739 | − | 0.699396i | ||||
\(852\) | −8.59869 | + | 6.24731i | −0.294586 | + | 0.214029i | ||||
\(853\) | −17.6095 | + | 12.7941i | −0.602938 | + | 0.438060i | −0.846920 | − | 0.531720i | \(-0.821546\pi\) |
0.243983 | + | 0.969780i | \(0.421546\pi\) | |||||||
\(854\) | 12.3531 | + | 13.7195i | 0.422714 | + | 0.469472i | ||||
\(855\) | −2.59635 | − | 1.15597i | −0.0887933 | − | 0.0395333i | ||||
\(856\) | 13.8811 | − | 6.18024i | 0.474445 | − | 0.211236i | ||||
\(857\) | 33.6890 | − | 37.4154i | 1.15079 | − | 1.27809i | 0.196071 | − | 0.980590i | \(-0.437182\pi\) |
0.954723 | − | 0.297497i | \(-0.0961518\pi\) | |||||||
\(858\) | −0.906987 | + | 8.62940i | −0.0309640 | + | 0.294603i | ||||
\(859\) | 34.6826 | − | 7.37201i | 1.18336 | − | 0.251530i | 0.426117 | − | 0.904668i | \(-0.359881\pi\) |
0.757239 | + | 0.653138i | \(0.226548\pi\) | |||||||
\(860\) | −1.11865 | + | 3.44285i | −0.0381457 | + | 0.117400i | ||||
\(861\) | −4.22676 | − | 0.898425i | −0.144048 | − | 0.0306183i | ||||
\(862\) | −4.46154 | + | 7.72761i | −0.151961 | + | 0.263203i | ||||
\(863\) | −11.2487 | − | 19.4834i | −0.382911 | − | 0.663222i | 0.608566 | − | 0.793503i | \(-0.291745\pi\) |
−0.991477 | + | 0.130282i | \(0.958412\pi\) | |||||||
\(864\) | 0.309017 | + | 0.951057i | 0.0105130 | + | 0.0323556i | ||||
\(865\) | −0.354812 | − | 3.37581i | −0.0120640 | − | 0.114781i | ||||
\(866\) | −12.5445 | − | 9.11412i | −0.426280 | − | 0.309710i | ||||
\(867\) | 15.9999 | 0.543386 | ||||||||
\(868\) | 13.5998 | + | 6.70476i | 0.461606 | + | 0.227575i | ||||
\(869\) | 32.5368 | 1.10374 | ||||||||
\(870\) | −4.42446 | − | 3.21456i | −0.150003 | − | 0.108984i | ||||
\(871\) | −3.51991 | − | 33.4897i | −0.119268 | − | 1.13476i | ||||
\(872\) | 0.0683980 | + | 0.210507i | 0.00231625 | + | 0.00712868i | ||||
\(873\) | −4.21979 | − | 7.30889i | −0.142818 | − | 0.247368i | ||||
\(874\) | 9.16810 | − | 15.8796i | 0.310116 | − | 0.537136i | ||||
\(875\) | 2.66379 | + | 0.566206i | 0.0900526 | + | 0.0191413i | ||||
\(876\) | 1.83170 | − | 5.63741i | 0.0618875 | − | 0.190470i | ||||
\(877\) | 11.7149 | − | 2.49008i | 0.395585 | − | 0.0840842i | −0.00582415 | − | 0.999983i | \(-0.501854\pi\) |
0.401409 | + | 0.915899i | \(0.368521\pi\) | |||||||
\(878\) | −3.31754 | + | 31.5643i | −0.111962 | + | 1.06524i | ||||
\(879\) | −11.4317 | + | 12.6962i | −0.385582 | + | 0.428232i | ||||
\(880\) | −3.12426 | + | 1.39101i | −0.105319 | + | 0.0468909i | ||||
\(881\) | −3.05357 | − | 1.35954i | −0.102877 | − | 0.0458040i | 0.354653 | − | 0.934998i | \(-0.384599\pi\) |
−0.457530 | + | 0.889194i | \(0.651266\pi\) | |||||||
\(882\) | 0.278608 | + | 0.309426i | 0.00938123 | + | 0.0104189i | ||||
\(883\) | 11.1536 | − | 8.10357i | 0.375349 | − | 0.272707i | −0.384077 | − | 0.923301i | \(-0.625480\pi\) |
0.759425 | + | 0.650594i | \(0.225480\pi\) | |||||||
\(884\) | −11.7914 | + | 8.56693i | −0.396586 | + | 0.288137i | ||||
\(885\) | 5.08174 | + | 5.64384i | 0.170821 | + | 0.189716i | ||||
\(886\) | 35.2532 | + | 15.6958i | 1.18436 | + | 0.527309i | ||||
\(887\) | −24.4687 | + | 10.8942i | −0.821578 | + | 0.365790i | −0.774085 | − | 0.633082i | \(-0.781790\pi\) |
−0.0474927 | + | 0.998872i | \(0.515123\pi\) | |||||||
\(888\) | −2.84740 | + | 3.16236i | −0.0955526 | + | 0.106122i | ||||
\(889\) | 1.43761 | − | 13.6779i | 0.0482158 | − | 0.458743i | ||||
\(890\) | −14.6875 | + | 3.12192i | −0.492325 | + | 0.104647i | ||||
\(891\) | −1.05681 | + | 3.25254i | −0.0354046 | + | 0.108964i | ||||
\(892\) | 20.9511 | + | 4.45330i | 0.701495 | + | 0.149107i | ||||
\(893\) | 7.79441 | − | 13.5003i | 0.260830 | − | 0.451771i | ||||
\(894\) | 2.76362 | + | 4.78673i | 0.0924292 | + | 0.160092i | ||||
\(895\) | 1.29271 | + | 3.97854i | 0.0432104 | + | 0.132988i | ||||
\(896\) | 0.284663 | + | 2.70838i | 0.00950991 | + | 0.0904807i | ||||
\(897\) | 13.2429 | + | 9.62155i | 0.442168 | + | 0.321254i | ||||
\(898\) | 39.1682 | 1.30706 | ||||||||
\(899\) | −28.2807 | + | 11.2865i | −0.943215 | + | 0.376427i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | 37.3045 | + | 27.1033i | 1.24279 | + | 0.902943i | ||||
\(902\) | −0.567229 | − | 5.39682i | −0.0188867 | − | 0.179694i | ||||
\(903\) | 3.04643 | + | 9.37593i | 0.101379 | + | 0.312012i | ||||
\(904\) | −2.41262 | − | 4.17877i | −0.0802424 | − | 0.138984i | ||||
\(905\) | 3.39954 | − | 5.88818i | 0.113005 | − | 0.195730i | ||||
\(906\) | 15.3397 | + | 3.26055i | 0.509627 | + | 0.108325i | ||||
\(907\) | 13.1330 | − | 40.4192i | 0.436074 | − | 1.34210i | −0.455909 | − | 0.890027i | \(-0.650686\pi\) |
0.891982 | − | 0.452070i | \(-0.149314\pi\) | |||||||
\(908\) | 2.28670 | − | 0.486052i | 0.0758867 | − | 0.0161302i | ||||
\(909\) | −0.431230 | + | 4.10288i | −0.0143030 | + | 0.136084i | ||||
\(910\) | 4.62335 | − | 5.13475i | 0.153263 | − | 0.170215i | ||||
\(911\) | −22.3867 | + | 9.96720i | −0.741705 | + | 0.330228i | −0.742567 | − | 0.669771i | \(-0.766392\pi\) |
0.000862607 | 1.00000i | \(0.499725\pi\) | ||||||||
\(912\) | −2.59635 | − | 1.15597i | −0.0859737 | − | 0.0382780i | ||||
\(913\) | 38.3755 | + | 42.6203i | 1.27004 | + | 1.41053i | ||||
\(914\) | −5.44425 | + | 3.95548i | −0.180080 | + | 0.130836i | ||||
\(915\) | 5.48437 | − | 3.98463i | 0.181308 | − | 0.131728i | ||||
\(916\) | 5.14914 | + | 5.71870i | 0.170132 | + | 0.188951i | ||||
\(917\) | −34.2303 | − | 15.2403i | −1.13038 | − | 0.503279i | ||||
\(918\) | −5.24791 | + | 2.33652i | −0.173207 | + | 0.0771167i | ||||
\(919\) | −18.3797 | + | 20.4127i | −0.606291 | + | 0.673354i | −0.965650 | − | 0.259845i | \(-0.916328\pi\) |
0.359360 | + | 0.933199i | \(0.382995\pi\) | |||||||
\(920\) | −0.674390 | + | 6.41639i | −0.0222340 | + | 0.211542i | ||||
\(921\) | −19.5420 | + | 4.15377i | −0.643930 | + | 0.136871i | ||||
\(922\) | 11.0899 | − | 34.1311i | 0.365225 | − | 1.12405i | ||||
\(923\) | 26.3772 | + | 5.60665i | 0.868217 | + | 0.184545i | ||||
\(924\) | −4.65674 | + | 8.06571i | −0.153196 | + | 0.265343i | ||||
\(925\) | 2.12769 | + | 3.68526i | 0.0699579 | + | 0.121171i | ||||
\(926\) | 1.27943 | + | 3.93768i | 0.0420447 | + | 0.129400i | ||||
\(927\) | −0.486874 | − | 4.63230i | −0.0159910 | − | 0.152145i | ||||
\(928\) | −4.42446 | − | 3.21456i | −0.145240 | − | 0.105523i | ||||
\(929\) | 12.1960 | 0.400139 | 0.200070 | − | 0.979782i | \(-0.435883\pi\) | ||||
0.200070 | + | 0.979782i | \(0.435883\pi\) | |||||||
\(930\) | 2.97051 | − | 4.70915i | 0.0974069 | − | 0.154419i | ||||
\(931\) | −1.18336 | −0.0387830 | ||||||||
\(932\) | −13.6930 | − | 9.94855i | −0.448529 | − | 0.325876i | ||||
\(933\) | −2.00602 | − | 19.0860i | −0.0656740 | − | 0.624846i | ||||
\(934\) | −8.13247 | − | 25.0292i | −0.266103 | − | 0.818980i | ||||
\(935\) | −9.82297 | − | 17.0139i | −0.321245 | − | 0.556413i | ||||
\(936\) | 1.26859 | − | 2.19726i | 0.0414650 | − | 0.0718196i | ||||
\(937\) | −8.75346 | − | 1.86061i | −0.285963 | − | 0.0607833i | 0.0626969 | − | 0.998033i | \(-0.480030\pi\) |
−0.348660 | + | 0.937249i | \(0.613363\pi\) | |||||||
\(938\) | 11.1693 | − | 34.3755i | 0.364690 | − | 1.12240i | ||||
\(939\) | −33.3594 | + | 7.09077i | −1.08864 | + | 0.231398i | ||||
\(940\) | −0.573343 | + | 5.45500i | −0.0187004 | + | 0.177922i | ||||
\(941\) | −3.66562 | + | 4.07108i | −0.119496 | + | 0.132714i | −0.799924 | − | 0.600101i | \(-0.795127\pi\) |
0.680428 | + | 0.732815i | \(0.261794\pi\) | |||||||
\(942\) | −13.9883 | + | 6.22801i | −0.455764 | + | 0.202919i | ||||
\(943\) | −9.35220 | − | 4.16387i | −0.304549 | − | 0.135594i | ||||
\(944\) | 5.08174 | + | 5.64384i | 0.165396 | + | 0.183691i | ||||
\(945\) | 2.20320 | − | 1.60072i | 0.0716700 | − | 0.0520713i | ||||
\(946\) | −10.0158 | + | 7.27692i | −0.325642 | + | 0.236593i | ||||
\(947\) | −35.5232 | − | 39.4525i | −1.15435 | − | 1.28203i | −0.953155 | − | 0.302481i | \(-0.902185\pi\) |
−0.201192 | − | 0.979552i | \(-0.564482\pi\) | |||||||
\(948\) | −8.69138 | − | 3.86965i | −0.282283 | − | 0.125680i | ||||
\(949\) | −13.7389 | + | 6.11697i | −0.445985 | + | 0.198565i | ||||
\(950\) | −1.90171 | + | 2.11206i | −0.0616996 | + | 0.0685243i | ||||
\(951\) | −2.96502 | + | 28.2103i | −0.0961475 | + | 0.914782i | ||||
\(952\) | −15.3023 | + | 3.25260i | −0.495950 | + | 0.105417i | ||||
\(953\) | 7.74828 | − | 23.8467i | 0.250991 | − | 0.772472i | −0.743602 | − | 0.668623i | \(-0.766884\pi\) |
0.994593 | − | 0.103849i | \(-0.0331159\pi\) | |||||||
\(954\) | −7.85149 | − | 1.66888i | −0.254201 | − | 0.0540321i | ||||
\(955\) | −5.64518 | + | 9.77774i | −0.182674 | + | 0.316400i | ||||
\(956\) | 8.46888 | + | 14.6685i | 0.273903 | + | 0.474414i | ||||
\(957\) | −5.77965 | − | 17.7879i | −0.186829 | − | 0.575002i | ||||
\(958\) | −1.68029 | − | 15.9869i | −0.0542878 | − | 0.516514i | ||||
\(959\) | 27.8452 | + | 20.2307i | 0.899167 | + | 0.653283i | ||||
\(960\) | 1.00000 | 0.0322749 | ||||||||
\(961\) | −13.3521 | − | 27.9771i | −0.430714 | − | 0.902489i | ||||
\(962\) | 10.7966 | 0.348097 | ||||||||
\(963\) | −12.2928 | − | 8.93123i | −0.396129 | − | 0.287805i | ||||
\(964\) | 2.09876 | + | 19.9684i | 0.0675965 | + | 0.643138i | ||||
\(965\) | 5.92309 | + | 18.2294i | 0.190671 | + | 0.586825i | ||||
\(966\) | 8.78501 | + | 15.2161i | 0.282653 | + | 0.489569i | ||||
\(967\) | 20.8269 | − | 36.0733i | 0.669748 | − | 1.16004i | −0.308226 | − | 0.951313i | \(-0.599735\pi\) |
0.977974 | − | 0.208725i | \(-0.0669314\pi\) | |||||||
\(968\) | −0.680671 | − | 0.144681i | −0.0218776 | − | 0.00465022i | ||||
\(969\) | 5.04512 | − | 15.5273i | 0.162073 | − | 0.498809i | ||||
\(970\) | −8.25515 | + | 1.75469i | −0.265057 | + | 0.0563396i | ||||
\(971\) | 1.93673 | − | 18.4268i | 0.0621527 | − | 0.591343i | −0.918477 | − | 0.395474i | \(-0.870580\pi\) |
0.980630 | − | 0.195869i | \(-0.0627529\pi\) | |||||||
\(972\) | 0.669131 | − | 0.743145i | 0.0214624 | − | 0.0238364i | ||||
\(973\) | −22.2103 | + | 9.88867i | −0.712030 | + | 0.317016i | ||||
\(974\) | −27.1001 | − | 12.0657i | −0.868342 | − | 0.386611i | ||||
\(975\) | −1.69770 | − | 1.88549i | −0.0543699 | − | 0.0603839i | ||||
\(976\) | 5.48437 | − | 3.98463i | 0.175550 | − | 0.127545i | ||||
\(977\) | −28.9474 | + | 21.0315i | −0.926109 | + | 0.672858i | −0.945037 | − | 0.326963i | \(-0.893975\pi\) |
0.0189277 | + | 0.999821i | \(0.493975\pi\) | |||||||
\(978\) | 8.84706 | + | 9.82565i | 0.282898 | + | 0.314190i | ||||
\(979\) | −46.9126 | − | 20.8868i | −1.49933 | − | 0.667546i | ||||
\(980\) | 0.380376 | − | 0.169354i | 0.0121507 | − | 0.00540983i | ||||
\(981\) | 0.148106 | − | 0.164488i | 0.00472865 | − | 0.00525170i | ||||
\(982\) | 2.92369 | − | 27.8171i | 0.0932988 | − | 0.887679i | ||||
\(983\) | 41.1667 | − | 8.75024i | 1.31301 | − | 0.279089i | 0.502381 | − | 0.864646i | \(-0.332457\pi\) |
0.810631 | + | 0.585557i | \(0.199124\pi\) | |||||||
\(984\) | −0.490331 | + | 1.50908i | −0.0156312 | + | 0.0481079i | ||||
\(985\) | 4.17889 | + | 0.888251i | 0.133151 | + | 0.0283020i | ||||
\(986\) | 15.7083 | − | 27.2076i | 0.500254 | − | 0.866465i | ||||
\(987\) | 7.46872 | + | 12.9362i | 0.237732 | + | 0.411764i | ||||
\(988\) | 2.22826 | + | 6.85787i | 0.0708903 | + | 0.218178i | ||||
\(989\) | 2.44131 | + | 23.2275i | 0.0776292 | + | 0.738592i | ||||
\(990\) | 2.76678 | + | 2.01018i | 0.0879339 | + | 0.0638877i | ||||
\(991\) | −11.1764 | −0.355031 | −0.177515 | − | 0.984118i | \(-0.556806\pi\) | ||||
−0.177515 | + | 0.984118i | \(0.556806\pi\) | |||||||
\(992\) | 2.97051 | − | 4.70915i | 0.0943138 | − | 0.149516i | ||||
\(993\) | 9.67802 | 0.307123 | ||||||||
\(994\) | 23.4168 | + | 17.0133i | 0.742737 | + | 0.539630i | ||||
\(995\) | −1.76404 | − | 16.7837i | −0.0559238 | − | 0.532079i | ||||
\(996\) | −5.18214 | − | 15.9490i | −0.164202 | − | 0.505363i | ||||
\(997\) | −14.7047 | − | 25.4693i | −0.465702 | − | 0.806620i | 0.533530 | − | 0.845781i | \(-0.320865\pi\) |
−0.999233 | + | 0.0391605i | \(0.987532\pi\) | |||||||
\(998\) | −2.28016 | + | 3.94935i | −0.0721772 | + | 0.125015i | ||||
\(999\) | 4.16239 | + | 0.884742i | 0.131692 | + | 0.0279920i |
(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 | 930.2.bg.g.661.3 | yes | 24 | |
31.28 | even | 15 | inner | 930.2.bg.g.121.3 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.g.121.3 | ✓ | 24 | 31.28 | even | 15 | inner | |
930.2.bg.g.661.3 | yes | 24 | 1.1 | even | 1 | trivial |