Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(277,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.277");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bj (of order \(20\), 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: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 277.3 | ||
Character | \(\chi\) | \(=\) | 930.277 |
Dual form | 930.2.bj.a.883.3 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.156434 | − | 0.987688i | −0.110616 | − | 0.698401i | ||||
\(3\) | 0.987688 | + | 0.156434i | 0.570242 | + | 0.0903175i | ||||
\(4\) | −0.951057 | + | 0.309017i | −0.475528 | + | 0.154508i | ||||
\(5\) | −0.620092 | − | 2.14837i | −0.277314 | − | 0.960779i | ||||
\(6\) | − | 1.00000i | − | 0.408248i | ||||||
\(7\) | −0.961148 | + | 1.88636i | −0.363280 | + | 0.712977i | −0.998223 | − | 0.0595815i | \(-0.981023\pi\) |
0.634943 | + | 0.772559i | \(0.281023\pi\) | |||||||
\(8\) | 0.453990 | + | 0.891007i | 0.160510 | + | 0.315018i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | −2.02491 | + | 0.948537i | −0.640334 | + | 0.299954i | ||||
\(11\) | −5.04303 | + | 1.63858i | −1.52053 | + | 0.494051i | −0.945927 | − | 0.324380i | \(-0.894844\pi\) |
−0.574605 | + | 0.818431i | \(0.694844\pi\) | |||||||
\(12\) | −0.987688 | + | 0.156434i | −0.285121 | + | 0.0451587i | ||||
\(13\) | −0.994385 | − | 0.157495i | −0.275793 | − | 0.0436813i | 0.0170059 | − | 0.999855i | \(-0.494587\pi\) |
−0.292799 | + | 0.956174i | \(0.594587\pi\) | |||||||
\(14\) | 2.01349 | + | 0.654223i | 0.538128 | + | 0.174849i | ||||
\(15\) | −0.276379 | − | 2.21892i | −0.0713608 | − | 0.572923i | ||||
\(16\) | 0.809017 | − | 0.587785i | 0.202254 | − | 0.146946i | ||||
\(17\) | −1.51324 | − | 2.96991i | −0.367015 | − | 0.720308i | 0.631466 | − | 0.775404i | \(-0.282454\pi\) |
−0.998481 | + | 0.0550955i | \(0.982454\pi\) | |||||||
\(18\) | 0.156434 | − | 0.987688i | 0.0368720 | − | 0.232800i | ||||
\(19\) | 0.543172 | − | 0.747613i | 0.124612 | − | 0.171514i | −0.742153 | − | 0.670231i | \(-0.766195\pi\) |
0.866765 | + | 0.498717i | \(0.166195\pi\) | |||||||
\(20\) | 1.25363 | + | 1.85160i | 0.280319 | + | 0.414030i | ||||
\(21\) | −1.24441 | + | 1.71278i | −0.271552 | + | 0.373759i | ||||
\(22\) | 2.40731 | + | 4.72461i | 0.513240 | + | 1.00729i | ||||
\(23\) | −6.61055 | + | 3.36824i | −1.37840 | + | 0.702327i | −0.976933 | − | 0.213548i | \(-0.931498\pi\) |
−0.401463 | + | 0.915875i | \(0.631498\pi\) | |||||||
\(24\) | 0.309017 | + | 0.951057i | 0.0630778 | + | 0.194134i | ||||
\(25\) | −4.23097 | + | 2.66437i | −0.846194 | + | 0.532875i | ||||
\(26\) | 1.00678i | 0.197446i | ||||||||
\(27\) | 0.891007 | + | 0.453990i | 0.171474 | + | 0.0873705i | ||||
\(28\) | 0.331189 | − | 2.09105i | 0.0625889 | − | 0.395171i | ||||
\(29\) | −6.70057 | − | 4.86825i | −1.24427 | − | 0.904012i | −0.246391 | − | 0.969171i | \(-0.579245\pi\) |
−0.997875 | + | 0.0651588i | \(0.979245\pi\) | |||||||
\(30\) | −2.14837 | + | 0.620092i | −0.392237 | + | 0.113213i | ||||
\(31\) | 0.886555 | + | 5.49673i | 0.159230 | + | 0.987242i | ||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | −5.23727 | + | 0.829503i | −0.911692 | + | 0.144398i | ||||
\(34\) | −2.69662 | + | 1.95921i | −0.462466 | + | 0.336002i | ||||
\(35\) | 4.64860 | + | 0.895183i | 0.785756 | + | 0.151314i | ||||
\(36\) | −1.00000 | −0.166667 | ||||||||
\(37\) | 1.07333 | − | 1.07333i | 0.176454 | − | 0.176454i | −0.613354 | − | 0.789808i | \(-0.710180\pi\) |
0.789808 | + | 0.613354i | \(0.210180\pi\) | |||||||
\(38\) | −0.823379 | − | 0.419533i | −0.133570 | − | 0.0680572i | ||||
\(39\) | −0.957505 | − | 0.311112i | −0.153323 | − | 0.0498178i | ||||
\(40\) | 1.63269 | − | 1.52785i | 0.258152 | − | 0.241574i | ||||
\(41\) | −2.97457 | − | 2.16115i | −0.464550 | − | 0.337515i | 0.330764 | − | 0.943714i | \(-0.392694\pi\) |
−0.795313 | + | 0.606198i | \(0.792694\pi\) | |||||||
\(42\) | 1.88636 | + | 0.961148i | 0.291072 | + | 0.148308i | ||||
\(43\) | −0.0293795 | − | 0.185495i | −0.00448033 | − | 0.0282877i | 0.985347 | − | 0.170562i | \(-0.0545584\pi\) |
−0.989827 | + | 0.142275i | \(0.954558\pi\) | |||||||
\(44\) | 4.28986 | − | 3.11677i | 0.646721 | − | 0.469870i | ||||
\(45\) | 0.0741394 | − | 2.23484i | 0.0110520 | − | 0.333150i | ||||
\(46\) | 4.36089 | + | 6.00225i | 0.642979 | + | 0.884984i | ||||
\(47\) | 4.24993 | + | 0.673123i | 0.619916 | + | 0.0981850i | 0.458490 | − | 0.888700i | \(-0.348391\pi\) |
0.161426 | + | 0.986885i | \(0.448391\pi\) | |||||||
\(48\) | 0.891007 | − | 0.453990i | 0.128606 | − | 0.0655279i | ||||
\(49\) | 1.47995 | + | 2.03698i | 0.211421 | + | 0.290996i | ||||
\(50\) | 3.29344 | + | 3.76208i | 0.465763 | + | 0.532039i | ||||
\(51\) | −1.03002 | − | 3.17007i | −0.144231 | − | 0.443898i | ||||
\(52\) | 0.994385 | − | 0.157495i | 0.137896 | − | 0.0218406i | ||||
\(53\) | 0.276888 | − | 0.141081i | 0.0380335 | − | 0.0193790i | −0.434870 | − | 0.900493i | \(-0.643206\pi\) |
0.472904 | + | 0.881114i | \(0.343206\pi\) | |||||||
\(54\) | 0.309017 | − | 0.951057i | 0.0420519 | − | 0.129422i | ||||
\(55\) | 6.64742 | + | 9.81822i | 0.896338 | + | 1.32389i | ||||
\(56\) | −2.11711 | −0.282911 | ||||||||
\(57\) | 0.653437 | − | 0.653437i | 0.0865499 | − | 0.0865499i | ||||
\(58\) | −3.76012 | + | 7.37964i | −0.493727 | + | 0.968994i | ||||
\(59\) | 0.186742 | + | 0.257029i | 0.0243118 | + | 0.0334623i | 0.821000 | − | 0.570928i | \(-0.193417\pi\) |
−0.796688 | + | 0.604391i | \(0.793417\pi\) | |||||||
\(60\) | 0.948537 | + | 2.02491i | 0.122456 | + | 0.261415i | ||||
\(61\) | 0.618521i | 0.0791935i | 0.999216 | + | 0.0395967i | \(0.0126073\pi\) | ||||
−0.999216 | + | 0.0395967i | \(0.987393\pi\) | |||||||
\(62\) | 5.29037 | − | 1.73552i | 0.671877 | − | 0.220411i | ||||
\(63\) | −1.49702 | + | 1.49702i | −0.188607 | + | 0.188607i | ||||
\(64\) | −0.587785 | + | 0.809017i | −0.0734732 | + | 0.101127i | ||||
\(65\) | 0.278253 | + | 2.23397i | 0.0345131 | + | 0.277089i | ||||
\(66\) | 1.63858 | + | 5.04303i | 0.201695 | + | 0.620754i | ||||
\(67\) | −7.06767 | − | 7.06767i | −0.863454 | − | 0.863454i | 0.128284 | − | 0.991737i | \(-0.459053\pi\) |
−0.991737 | + | 0.128284i | \(0.959053\pi\) | |||||||
\(68\) | 2.35693 | + | 2.35693i | 0.285820 | + | 0.285820i | ||||
\(69\) | −7.05607 | + | 2.29266i | −0.849451 | + | 0.276004i | ||||
\(70\) | 0.156961 | − | 4.73140i | 0.0187605 | − | 0.565511i | ||||
\(71\) | 1.41340 | − | 4.35000i | 0.167740 | − | 0.516250i | −0.831488 | − | 0.555543i | \(-0.812511\pi\) |
0.999228 | + | 0.0392929i | \(0.0125105\pi\) | |||||||
\(72\) | 0.156434 | + | 0.987688i | 0.0184360 | + | 0.116400i | ||||
\(73\) | −2.72134 | + | 5.34094i | −0.318509 | + | 0.625109i | −0.993642 | − | 0.112587i | \(-0.964086\pi\) |
0.675133 | + | 0.737696i | \(0.264086\pi\) | |||||||
\(74\) | −1.22802 | − | 0.892209i | −0.142755 | − | 0.103717i | ||||
\(75\) | −4.59568 | + | 1.96970i | −0.530663 | + | 0.227441i | ||||
\(76\) | −0.285563 | + | 0.878871i | −0.0327563 | + | 0.100813i | ||||
\(77\) | 1.75615 | − | 11.0879i | 0.200132 | − | 1.26358i | ||||
\(78\) | −0.157495 | + | 0.994385i | −0.0178328 | + | 0.112592i | ||||
\(79\) | −0.490922 | + | 1.51090i | −0.0552331 | + | 0.169990i | −0.974867 | − | 0.222786i | \(-0.928485\pi\) |
0.919634 | + | 0.392775i | \(0.128485\pi\) | |||||||
\(80\) | −1.76444 | − | 1.37359i | −0.197271 | − | 0.153571i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | −1.66922 | + | 3.27603i | −0.184334 | + | 0.361777i | ||||
\(83\) | 2.47154 | + | 15.6047i | 0.271286 | + | 1.71283i | 0.627657 | + | 0.778490i | \(0.284014\pi\) |
−0.356371 | + | 0.934345i | \(0.615986\pi\) | |||||||
\(84\) | 0.654223 | − | 2.01349i | 0.0713816 | − | 0.219690i | ||||
\(85\) | −5.44210 | + | 5.09262i | −0.590279 | + | 0.552372i | ||||
\(86\) | −0.178615 | + | 0.0580355i | −0.0192605 | + | 0.00625813i | ||||
\(87\) | −5.85652 | − | 5.85652i | −0.627885 | − | 0.627885i | ||||
\(88\) | −3.74947 | − | 3.74947i | −0.399695 | − | 0.399695i | ||||
\(89\) | −2.97083 | − | 9.14327i | −0.314907 | − | 0.969185i | −0.975793 | − | 0.218698i | \(-0.929819\pi\) |
0.660885 | − | 0.750487i | \(-0.270181\pi\) | |||||||
\(90\) | −2.21892 | + | 0.276379i | −0.233895 | + | 0.0291329i | ||||
\(91\) | 1.25284 | − | 1.72439i | 0.131334 | − | 0.180765i | ||||
\(92\) | 5.24616 | − | 5.24616i | 0.546950 | − | 0.546950i | ||||
\(93\) | 0.0157618 | + | 5.56774i | 0.00163443 | + | 0.577348i | ||||
\(94\) | − | 4.30291i | − | 0.443811i | ||||||
\(95\) | −1.94296 | − | 0.703345i | −0.199344 | − | 0.0721617i | ||||
\(96\) | −0.587785 | − | 0.809017i | −0.0599906 | − | 0.0825700i | ||||
\(97\) | 4.00021 | − | 7.85084i | 0.406159 | − | 0.797133i | −0.593813 | − | 0.804603i | \(-0.702378\pi\) |
0.999972 | + | 0.00747071i | \(0.00237802\pi\) | |||||||
\(98\) | 1.78038 | − | 1.78038i | 0.179846 | − | 0.179846i | ||||
\(99\) | −5.30256 | −0.532927 | ||||||||
\(100\) | 3.20056 | − | 3.84141i | 0.320056 | − | 0.384141i | ||||
\(101\) | 0.561865 | − | 1.72924i | 0.0559077 | − | 0.172066i | −0.919203 | − | 0.393783i | \(-0.871166\pi\) |
0.975111 | + | 0.221717i | \(0.0711661\pi\) | |||||||
\(102\) | −2.96991 | + | 1.51324i | −0.294065 | + | 0.149833i | ||||
\(103\) | −14.2315 | + | 2.25405i | −1.40227 | + | 0.222098i | −0.811316 | − | 0.584608i | \(-0.801249\pi\) |
−0.590954 | + | 0.806705i | \(0.701249\pi\) | |||||||
\(104\) | −0.311112 | − | 0.957505i | −0.0305071 | − | 0.0938911i | ||||
\(105\) | 4.45133 | + | 1.61136i | 0.434405 | + | 0.157253i | ||||
\(106\) | −0.182659 | − | 0.251409i | −0.0177414 | − | 0.0244190i | ||||
\(107\) | 0.664743 | − | 0.338704i | 0.0642632 | − | 0.0327437i | −0.421564 | − | 0.906799i | \(-0.638519\pi\) |
0.485827 | + | 0.874055i | \(0.338519\pi\) | |||||||
\(108\) | −0.987688 | − | 0.156434i | −0.0950404 | − | 0.0150529i | ||||
\(109\) | −5.11564 | − | 7.04107i | −0.489989 | − | 0.674412i | 0.490397 | − | 0.871499i | \(-0.336852\pi\) |
−0.980386 | + | 0.197087i | \(0.936852\pi\) | |||||||
\(110\) | 8.65745 | − | 8.10149i | 0.825456 | − | 0.772446i | ||||
\(111\) | 1.22802 | − | 0.892209i | 0.116559 | − | 0.0846848i | ||||
\(112\) | 0.331189 | + | 2.09105i | 0.0312944 | + | 0.197585i | ||||
\(113\) | 10.5081 | + | 5.35415i | 0.988519 | + | 0.503676i | 0.871996 | − | 0.489512i | \(-0.162825\pi\) |
0.116523 | + | 0.993188i | \(0.462825\pi\) | |||||||
\(114\) | −0.747613 | − | 0.543172i | −0.0700203 | − | 0.0508728i | ||||
\(115\) | 11.3354 | + | 12.1133i | 1.05703 | + | 1.12957i | ||||
\(116\) | 7.87700 | + | 2.55939i | 0.731361 | + | 0.237634i | ||||
\(117\) | −0.897048 | − | 0.457069i | −0.0829321 | − | 0.0422560i | ||||
\(118\) | 0.224651 | − | 0.224651i | 0.0206808 | − | 0.0206808i | ||||
\(119\) | 7.05677 | 0.646893 | ||||||||
\(120\) | 1.85160 | − | 1.25363i | 0.169027 | − | 0.114440i | ||||
\(121\) | 13.8480 | − | 10.0612i | 1.25891 | − | 0.914654i | ||||
\(122\) | 0.610906 | − | 0.0967580i | 0.0553088 | − | 0.00876006i | ||||
\(123\) | −2.59987 | − | 2.59987i | −0.234422 | − | 0.234422i | ||||
\(124\) | −2.54175 | − | 4.95374i | −0.228256 | − | 0.444859i | ||||
\(125\) | 8.34765 | + | 7.43753i | 0.746636 | + | 0.665232i | ||||
\(126\) | 1.71278 | + | 1.24441i | 0.152586 | + | 0.110861i | ||||
\(127\) | −1.09589 | + | 6.91921i | −0.0972450 | + | 0.613980i | 0.890145 | + | 0.455676i | \(0.150603\pi\) |
−0.987390 | + | 0.158304i | \(0.949397\pi\) | |||||||
\(128\) | 0.891007 | + | 0.453990i | 0.0787546 | + | 0.0401275i | ||||
\(129\) | − | 0.187807i | − | 0.0165355i | ||||||
\(130\) | 2.16293 | − | 0.624297i | 0.189702 | − | 0.0547544i | ||||
\(131\) | −2.21566 | − | 6.81910i | −0.193583 | − | 0.595787i | −0.999990 | − | 0.00442655i | \(-0.998591\pi\) |
0.806407 | − | 0.591361i | \(-0.201409\pi\) | |||||||
\(132\) | 4.72461 | − | 2.40731i | 0.411225 | − | 0.209530i | ||||
\(133\) | 0.888197 | + | 1.74319i | 0.0770165 | + | 0.151153i | ||||
\(134\) | −5.87503 | + | 8.08628i | −0.507525 | + | 0.698549i | ||||
\(135\) | 0.422832 | − | 2.19573i | 0.0363916 | − | 0.188978i | ||||
\(136\) | 1.95921 | − | 2.69662i | 0.168001 | − | 0.231233i | ||||
\(137\) | 0.373427 | − | 2.35773i | 0.0319041 | − | 0.201434i | −0.966588 | − | 0.256336i | \(-0.917485\pi\) |
0.998492 | + | 0.0549019i | \(0.0174846\pi\) | |||||||
\(138\) | 3.36824 | + | 6.61055i | 0.286724 | + | 0.562727i | ||||
\(139\) | 15.6323 | − | 11.3575i | 1.32591 | − | 0.963331i | 0.326073 | − | 0.945345i | \(-0.394274\pi\) |
0.999838 | − | 0.0179866i | \(-0.00572561\pi\) | |||||||
\(140\) | −4.69770 | + | 0.585125i | −0.397028 | + | 0.0494521i | ||||
\(141\) | 4.09231 | + | 1.32967i | 0.344634 | + | 0.111978i | ||||
\(142\) | −4.51755 | − | 0.715509i | −0.379104 | − | 0.0600442i | ||||
\(143\) | 5.27278 | − | 0.835127i | 0.440932 | − | 0.0698368i | ||||
\(144\) | 0.951057 | − | 0.309017i | 0.0792547 | − | 0.0257514i | ||||
\(145\) | −6.30382 | + | 17.4141i | −0.523504 | + | 1.44616i | ||||
\(146\) | 5.70089 | + | 1.85233i | 0.471809 | + | 0.153300i | ||||
\(147\) | 1.14308 | + | 2.24341i | 0.0942793 | + | 0.185033i | ||||
\(148\) | −0.689120 | + | 1.35247i | −0.0566453 | + | 0.111173i | ||||
\(149\) | − | 15.7540i | − | 1.29062i | −0.763920 | − | 0.645311i | \(-0.776728\pi\) | ||
0.763920 | − | 0.645311i | \(-0.223272\pi\) | |||||||
\(150\) | 2.66437 | + | 4.23097i | 0.217545 | + | 0.345457i | ||||
\(151\) | −22.9284 | + | 7.44990i | −1.86589 | + | 0.606264i | −0.872925 | + | 0.487855i | \(0.837779\pi\) |
−0.992965 | + | 0.118409i | \(0.962221\pi\) | |||||||
\(152\) | 0.912723 | + | 0.144561i | 0.0740316 | + | 0.0117255i | ||||
\(153\) | −0.521428 | − | 3.29217i | −0.0421550 | − | 0.266156i | ||||
\(154\) | −11.2261 | −0.904625 | ||||||||
\(155\) | 11.2592 | − | 5.31312i | 0.904365 | − | 0.426760i | ||||
\(156\) | 1.00678 | 0.0806069 | ||||||||
\(157\) | 1.28638 | + | 8.12189i | 0.102664 | + | 0.648197i | 0.984332 | + | 0.176326i | \(0.0564213\pi\) |
−0.881667 | + | 0.471871i | \(0.843579\pi\) | |||||||
\(158\) | 1.56910 | + | 0.248521i | 0.124831 | + | 0.0197713i | ||||
\(159\) | 0.295549 | − | 0.0960296i | 0.0234385 | − | 0.00761565i | ||||
\(160\) | −1.08065 | + | 1.95760i | −0.0854332 | + | 0.154762i | ||||
\(161\) | − | 15.7073i | − | 1.23791i | ||||||
\(162\) | 0.453990 | − | 0.891007i | 0.0356689 | − | 0.0700041i | ||||
\(163\) | −4.78572 | − | 9.39250i | −0.374846 | − | 0.735677i | 0.624111 | − | 0.781336i | \(-0.285461\pi\) |
−0.998957 | + | 0.0456586i | \(0.985461\pi\) | |||||||
\(164\) | 3.49682 | + | 1.13618i | 0.273056 | + | 0.0887211i | ||||
\(165\) | 5.02967 | + | 10.7372i | 0.391559 | + | 0.835892i | ||||
\(166\) | 15.0259 | − | 4.88221i | 1.16624 | − | 0.378933i | ||||
\(167\) | −17.4058 | + | 2.75681i | −1.34690 | + | 0.213329i | −0.787883 | − | 0.615825i | \(-0.788823\pi\) |
−0.559021 | + | 0.829154i | \(0.688823\pi\) | |||||||
\(168\) | −2.09105 | − | 0.331189i | −0.161328 | − | 0.0255518i | ||||
\(169\) | −11.3997 | − | 3.70400i | −0.876903 | − | 0.284923i | ||||
\(170\) | 5.88125 | + | 4.57844i | 0.451072 | + | 0.351150i | ||||
\(171\) | 0.747613 | − | 0.543172i | 0.0571714 | − | 0.0415374i | ||||
\(172\) | 0.0852625 | + | 0.167337i | 0.00650121 | + | 0.0127593i | ||||
\(173\) | −0.716710 | + | 4.52513i | −0.0544905 | + | 0.344039i | 0.945348 | + | 0.326063i | \(0.105722\pi\) |
−0.999838 | + | 0.0179760i | \(0.994278\pi\) | |||||||
\(174\) | −4.86825 | + | 6.70057i | −0.369061 | + | 0.507969i | ||||
\(175\) | −0.959376 | − | 10.5420i | −0.0725220 | − | 0.796900i | ||||
\(176\) | −3.11677 | + | 4.28986i | −0.234935 | + | 0.323360i | ||||
\(177\) | 0.144235 | + | 0.283077i | 0.0108414 | + | 0.0212774i | ||||
\(178\) | −8.56596 | + | 4.36457i | −0.642046 | + | 0.327139i | ||||
\(179\) | −4.07853 | − | 12.5524i | −0.304844 | − | 0.938213i | −0.979735 | − | 0.200296i | \(-0.935810\pi\) |
0.674891 | − | 0.737917i | \(-0.264190\pi\) | |||||||
\(180\) | 0.620092 | + | 2.14837i | 0.0462190 | + | 0.160130i | ||||
\(181\) | 2.15102i | 0.159884i | 0.996800 | + | 0.0799419i | \(0.0254735\pi\) | ||||
−0.996800 | + | 0.0799419i | \(0.974527\pi\) | |||||||
\(182\) | −1.89915 | − | 0.967665i | −0.140774 | − | 0.0717281i | ||||
\(183\) | −0.0967580 | + | 0.610906i | −0.00715256 | + | 0.0451595i | ||||
\(184\) | −6.00225 | − | 4.36089i | −0.442492 | − | 0.321489i | ||||
\(185\) | −2.97147 | − | 1.64034i | −0.218467 | − | 0.120600i | ||||
\(186\) | 5.49673 | − | 0.886555i | 0.403040 | − | 0.0650053i | ||||
\(187\) | 12.4978 | + | 12.4978i | 0.913927 | + | 0.913927i | ||||
\(188\) | −4.24993 | + | 0.673123i | −0.309958 | + | 0.0490925i | ||||
\(189\) | −1.71278 | + | 1.24441i | −0.124586 | + | 0.0905173i | ||||
\(190\) | −0.390739 | + | 2.02907i | −0.0283472 | + | 0.147204i | ||||
\(191\) | 10.6294 | 0.769120 | 0.384560 | − | 0.923100i | \(-0.374353\pi\) | ||||
0.384560 | + | 0.923100i | \(0.374353\pi\) | |||||||
\(192\) | −0.707107 | + | 0.707107i | −0.0510310 | + | 0.0510310i | ||||
\(193\) | 4.07895 | + | 2.07833i | 0.293609 | + | 0.149601i | 0.594591 | − | 0.804029i | \(-0.297314\pi\) |
−0.300981 | + | 0.953630i | \(0.597314\pi\) | |||||||
\(194\) | −8.37996 | − | 2.72281i | −0.601646 | − | 0.195487i | ||||
\(195\) | −0.0746420 | + | 2.24999i | −0.00534523 | + | 0.161125i | ||||
\(196\) | −2.03698 | − | 1.47995i | −0.145498 | − | 0.105711i | ||||
\(197\) | 19.9718 | + | 10.1761i | 1.42293 | + | 0.725020i | 0.984768 | − | 0.173875i | \(-0.0556289\pi\) |
0.438164 | + | 0.898895i | \(0.355629\pi\) | |||||||
\(198\) | 0.829503 | + | 5.23727i | 0.0589502 | + | 0.372197i | ||||
\(199\) | 17.7718 | − | 12.9119i | 1.25981 | − | 0.915303i | 0.261059 | − | 0.965323i | \(-0.415928\pi\) |
0.998748 | + | 0.0500198i | \(0.0159284\pi\) | |||||||
\(200\) | −4.29479 | − | 2.56022i | −0.303688 | − | 0.181035i | ||||
\(201\) | −5.87503 | − | 8.08628i | −0.414393 | − | 0.570363i | ||||
\(202\) | −1.79585 | − | 0.284434i | −0.126355 | − | 0.0200127i | ||||
\(203\) | 15.6235 | − | 7.96058i | 1.09656 | − | 0.558723i | ||||
\(204\) | 1.95921 | + | 2.69662i | 0.137172 | + | 0.188801i | ||||
\(205\) | −2.79844 | + | 7.73058i | −0.195452 | + | 0.539927i | ||||
\(206\) | 4.45259 | + | 13.7037i | 0.310227 | + | 0.954780i | ||||
\(207\) | −7.32785 | + | 1.16062i | −0.509321 | + | 0.0806685i | ||||
\(208\) | −0.897048 | + | 0.457069i | −0.0621991 | + | 0.0316920i | ||||
\(209\) | −1.51421 | + | 4.66027i | −0.104740 | + | 0.322357i | ||||
\(210\) | 0.895183 | − | 4.64860i | 0.0617735 | − | 0.320784i | ||||
\(211\) | 14.3435 | 0.987446 | 0.493723 | − | 0.869619i | \(-0.335636\pi\) | ||||
0.493723 | + | 0.869619i | \(0.335636\pi\) | |||||||
\(212\) | −0.219739 | + | 0.219739i | −0.0150918 | + | 0.0150918i | ||||
\(213\) | 2.07649 | − | 4.07534i | 0.142279 | − | 0.279238i | ||||
\(214\) | −0.438522 | − | 0.603574i | −0.0299768 | − | 0.0412595i | ||||
\(215\) | −0.380293 | + | 0.178142i | −0.0259358 | + | 0.0121492i | ||||
\(216\) | 1.00000i | 0.0680414i | ||||||||
\(217\) | −11.2209 | − | 3.61081i | −0.761726 | − | 0.245118i | ||||
\(218\) | −6.15412 | + | 6.15412i | −0.416810 | + | 0.416810i | ||||
\(219\) | −3.52335 | + | 4.84947i | −0.238086 | + | 0.327697i | ||||
\(220\) | −9.35607 | − | 7.28351i | −0.630786 | − | 0.491054i | ||||
\(221\) | 1.03700 | + | 3.19156i | 0.0697562 | + | 0.214688i | ||||
\(222\) | −1.07333 | − | 1.07333i | −0.0720372 | − | 0.0720372i | ||||
\(223\) | 18.3949 | + | 18.3949i | 1.23182 | + | 1.23182i | 0.963265 | + | 0.268551i | \(0.0865448\pi\) |
0.268551 | + | 0.963265i | \(0.413455\pi\) | |||||||
\(224\) | 2.01349 | − | 0.654223i | 0.134532 | − | 0.0437121i | ||||
\(225\) | −4.84723 | + | 1.22653i | −0.323149 | + | 0.0817685i | ||||
\(226\) | 3.64440 | − | 11.2163i | 0.242422 | − | 0.746098i | ||||
\(227\) | −0.815959 | − | 5.15176i | −0.0541571 | − | 0.341935i | −0.999857 | − | 0.0168943i | \(-0.994622\pi\) |
0.945700 | − | 0.325040i | \(-0.105378\pi\) | |||||||
\(228\) | −0.419533 | + | 0.823379i | −0.0277842 | + | 0.0545296i | ||||
\(229\) | −15.7801 | − | 11.4649i | −1.04278 | − | 0.757623i | −0.0719528 | − | 0.997408i | \(-0.522923\pi\) |
−0.970826 | + | 0.239785i | \(0.922923\pi\) | |||||||
\(230\) | 10.1909 | − | 13.0908i | 0.671968 | − | 0.863179i | ||||
\(231\) | 3.46906 | − | 10.6767i | 0.228247 | − | 0.702473i | ||||
\(232\) | 1.29565 | − | 8.18040i | 0.0850634 | − | 0.537069i | ||||
\(233\) | 2.80936 | − | 17.7376i | 0.184047 | − | 1.16203i | −0.706695 | − | 0.707518i | \(-0.749815\pi\) |
0.890742 | − | 0.454509i | \(-0.150185\pi\) | |||||||
\(234\) | −0.311112 | + | 0.957505i | −0.0203380 | + | 0.0625941i | ||||
\(235\) | −1.18923 | − | 9.54781i | −0.0775770 | − | 0.622831i | ||||
\(236\) | −0.257029 | − | 0.186742i | −0.0167311 | − | 0.0121559i | ||||
\(237\) | −0.721235 | + | 1.41550i | −0.0468493 | + | 0.0919469i | ||||
\(238\) | −1.10392 | − | 6.96988i | −0.0715566 | − | 0.451791i | ||||
\(239\) | 8.15640 | − | 25.1028i | 0.527594 | − | 1.62377i | −0.231535 | − | 0.972827i | \(-0.574375\pi\) |
0.759129 | − | 0.650940i | \(-0.225625\pi\) | |||||||
\(240\) | −1.52785 | − | 1.63269i | −0.0986220 | − | 0.105390i | ||||
\(241\) | −4.64091 | + | 1.50792i | −0.298947 | + | 0.0971339i | −0.454650 | − | 0.890670i | \(-0.650236\pi\) |
0.155703 | + | 0.987804i | \(0.450236\pi\) | |||||||
\(242\) | −12.1036 | − | 12.1036i | −0.778051 | − | 0.778051i | ||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | −0.191133 | − | 0.588248i | −0.0122361 | − | 0.0376587i | ||||
\(245\) | 3.45847 | − | 4.44259i | 0.220953 | − | 0.283827i | ||||
\(246\) | −2.16115 | + | 2.97457i | −0.137790 | + | 0.189652i | ||||
\(247\) | −0.657868 | + | 0.657868i | −0.0418591 | + | 0.0418591i | ||||
\(248\) | −4.49513 | + | 3.28539i | −0.285441 | + | 0.208622i | ||||
\(249\) | 15.7992i | 1.00123i | ||||||||
\(250\) | 6.04010 | − | 9.40836i | 0.382009 | − | 0.595037i | ||||
\(251\) | −6.87160 | − | 9.45795i | −0.433732 | − | 0.596980i | 0.535073 | − | 0.844806i | \(-0.320284\pi\) |
−0.968805 | + | 0.247825i | \(0.920284\pi\) | |||||||
\(252\) | 0.961148 | − | 1.88636i | 0.0605467 | − | 0.118830i | ||||
\(253\) | 27.8181 | − | 27.8181i | 1.74891 | − | 1.74891i | ||||
\(254\) | 7.00546 | 0.439561 | ||||||||
\(255\) | −6.17176 | + | 4.17859i | −0.386491 | + | 0.261673i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −24.1113 | + | 12.2853i | −1.50402 | + | 0.766338i | −0.995505 | − | 0.0947134i | \(-0.969807\pi\) |
−0.508518 | + | 0.861051i | \(0.669807\pi\) | |||||||
\(258\) | −0.185495 | + | 0.0293795i | −0.0115484 | + | 0.00182909i | ||||
\(259\) | 0.993057 | + | 3.05632i | 0.0617056 | + | 0.189910i | ||||
\(260\) | −0.954968 | − | 2.03864i | −0.0592246 | − | 0.126431i | ||||
\(261\) | −4.86825 | − | 6.70057i | −0.301337 | − | 0.414755i | ||||
\(262\) | −6.38854 | + | 3.25512i | −0.394685 | + | 0.201102i | ||||
\(263\) | −31.4526 | − | 4.98161i | −1.93945 | − | 0.307179i | −0.940028 | − | 0.341096i | \(-0.889202\pi\) |
−0.999425 | + | 0.0339170i | \(0.989202\pi\) | |||||||
\(264\) | −3.11677 | − | 4.28986i | −0.191824 | − | 0.264023i | ||||
\(265\) | −0.474791 | − | 0.507373i | −0.0291662 | − | 0.0311677i | ||||
\(266\) | 1.58278 | − | 1.14996i | 0.0970464 | − | 0.0705083i | ||||
\(267\) | −1.50393 | − | 9.49544i | −0.0920390 | − | 0.581112i | ||||
\(268\) | 8.90579 | + | 4.53772i | 0.544007 | + | 0.277186i | ||||
\(269\) | −8.32019 | − | 6.04497i | −0.507291 | − | 0.368569i | 0.304504 | − | 0.952511i | \(-0.401509\pi\) |
−0.811795 | + | 0.583943i | \(0.801509\pi\) | |||||||
\(270\) | −2.23484 | − | 0.0741394i | −0.136008 | − | 0.00451198i | ||||
\(271\) | 15.6090 | + | 5.07166i | 0.948178 | + | 0.308082i | 0.741975 | − | 0.670428i | \(-0.233889\pi\) |
0.206203 | + | 0.978509i | \(0.433889\pi\) | |||||||
\(272\) | −2.96991 | − | 1.51324i | −0.180077 | − | 0.0917539i | ||||
\(273\) | 1.50717 | − | 1.50717i | 0.0912183 | − | 0.0912183i | ||||
\(274\) | −2.38712 | −0.144211 | ||||||||
\(275\) | 16.9711 | − | 20.3693i | 1.02340 | − | 1.22832i | ||||
\(276\) | 6.00225 | − | 4.36089i | 0.361293 | − | 0.262495i | ||||
\(277\) | −21.2138 | + | 3.35994i | −1.27461 | + | 0.201879i | −0.756818 | − | 0.653625i | \(-0.773247\pi\) |
−0.517796 | + | 0.855504i | \(0.673247\pi\) | |||||||
\(278\) | −13.6631 | − | 13.6631i | −0.819458 | − | 0.819458i | ||||
\(279\) | −0.855419 | + | 5.50166i | −0.0512126 | + | 0.329376i | ||||
\(280\) | 1.31280 | + | 4.54833i | 0.0784551 | + | 0.271815i | ||||
\(281\) | 17.0555 | + | 12.3915i | 1.01744 | + | 0.739217i | 0.965757 | − | 0.259447i | \(-0.0835402\pi\) |
0.0516869 | + | 0.998663i | \(0.483540\pi\) | |||||||
\(282\) | 0.673123 | − | 4.24993i | 0.0400839 | − | 0.253080i | ||||
\(283\) | −3.15175 | − | 1.60590i | −0.187352 | − | 0.0954608i | 0.357798 | − | 0.933799i | \(-0.383528\pi\) |
−0.545151 | + | 0.838338i | \(0.683528\pi\) | |||||||
\(284\) | 4.57386i | 0.271409i | ||||||||
\(285\) | −1.80902 | − | 0.998632i | −0.107157 | − | 0.0591539i | ||||
\(286\) | −1.64969 | − | 5.07723i | −0.0975482 | − | 0.300223i | ||||
\(287\) | 6.93571 | − | 3.53392i | 0.409402 | − | 0.208601i | ||||
\(288\) | −0.453990 | − | 0.891007i | −0.0267516 | − | 0.0525031i | ||||
\(289\) | 3.46191 | − | 4.76490i | 0.203642 | − | 0.280289i | ||||
\(290\) | 18.1858 | + | 3.50205i | 1.06791 | + | 0.205648i | ||||
\(291\) | 5.17910 | − | 7.12842i | 0.303604 | − | 0.417875i | ||||
\(292\) | 0.937711 | − | 5.92047i | 0.0548754 | − | 0.346470i | ||||
\(293\) | 0.0849462 | + | 0.166716i | 0.00496261 | + | 0.00973968i | 0.893475 | − | 0.449114i | \(-0.148260\pi\) |
−0.888512 | + | 0.458854i | \(0.848260\pi\) | |||||||
\(294\) | 2.03698 | − | 1.47995i | 0.118799 | − | 0.0863124i | ||||
\(295\) | 0.436395 | − | 0.560573i | 0.0254079 | − | 0.0326378i | ||||
\(296\) | 1.44363 | + | 0.469062i | 0.0839090 | + | 0.0272637i | ||||
\(297\) | −5.23727 | − | 0.829503i | −0.303897 | − | 0.0481326i | ||||
\(298\) | −15.5601 | + | 2.46448i | −0.901372 | + | 0.142763i | ||||
\(299\) | 7.10392 | − | 2.30820i | 0.410830 | − | 0.133487i | ||||
\(300\) | 3.76208 | − | 3.29344i | 0.217204 | − | 0.190147i | ||||
\(301\) | 0.378148 | + | 0.122868i | 0.0217961 | + | 0.00708197i | ||||
\(302\) | 10.9450 | + | 21.4807i | 0.629813 | + | 1.23608i | ||||
\(303\) | 0.825461 | − | 1.62006i | 0.0474215 | − | 0.0930699i | ||||
\(304\) | − | 0.924100i | − | 0.0530008i | ||||||
\(305\) | 1.32881 | − | 0.383540i | 0.0760875 | − | 0.0219614i | ||||
\(306\) | −3.17007 | + | 1.03002i | −0.181221 | + | 0.0588821i | ||||
\(307\) | 6.76472 | + | 1.07143i | 0.386083 | + | 0.0611496i | 0.346459 | − | 0.938065i | \(-0.387384\pi\) |
0.0396241 | + | 0.999215i | \(0.487384\pi\) | |||||||
\(308\) | 1.75615 | + | 11.0879i | 0.100066 | + | 0.631791i | ||||
\(309\) | −14.4089 | −0.819693 | ||||||||
\(310\) | −7.00905 | − | 10.2895i | −0.398087 | − | 0.584403i | ||||
\(311\) | −15.0138 | −0.851352 | −0.425676 | − | 0.904876i | \(-0.639964\pi\) | ||||
−0.425676 | + | 0.904876i | \(0.639964\pi\) | |||||||
\(312\) | −0.157495 | − | 0.994385i | −0.00891641 | − | 0.0562960i | ||||
\(313\) | −7.78558 | − | 1.23312i | −0.440067 | − | 0.0696998i | −0.0675304 | − | 0.997717i | \(-0.521512\pi\) |
−0.372537 | + | 0.928017i | \(0.621512\pi\) | |||||||
\(314\) | 7.82066 | − | 2.54109i | 0.441346 | − | 0.143402i | ||||
\(315\) | 4.14445 | + | 2.28787i | 0.233513 | + | 0.128907i | ||||
\(316\) | − | 1.58866i | − | 0.0893690i | ||||||
\(317\) | −7.88346 | + | 15.4722i | −0.442779 | + | 0.869004i | 0.556493 | + | 0.830853i | \(0.312147\pi\) |
−0.999272 | + | 0.0381510i | \(0.987853\pi\) | |||||||
\(318\) | −0.141081 | − | 0.276888i | −0.00791145 | − | 0.0155271i | ||||
\(319\) | 41.7682 | + | 13.5713i | 2.33857 | + | 0.759848i | ||||
\(320\) | 2.10255 | + | 0.761114i | 0.117536 | + | 0.0425476i | ||||
\(321\) | 0.709544 | − | 0.230545i | 0.0396029 | − | 0.0128678i | ||||
\(322\) | −15.5139 | + | 2.45716i | −0.864555 | + | 0.136932i | ||||
\(323\) | −3.04229 | − | 0.481852i | −0.169278 | − | 0.0268109i | ||||
\(324\) | −0.951057 | − | 0.309017i | −0.0528365 | − | 0.0171676i | ||||
\(325\) | 4.62684 | − | 1.98306i | 0.256651 | − | 0.110000i | ||||
\(326\) | −8.52821 | + | 6.19611i | −0.472334 | + | 0.343171i | ||||
\(327\) | −3.95119 | − | 7.75464i | −0.218501 | − | 0.428833i | ||||
\(328\) | 0.575174 | − | 3.63150i | 0.0317587 | − | 0.200516i | ||||
\(329\) | −5.35456 | + | 7.36993i | −0.295207 | + | 0.406317i | ||||
\(330\) | 9.81822 | − | 6.64742i | 0.540475 | − | 0.365928i | ||||
\(331\) | −7.21822 | + | 9.93502i | −0.396749 | + | 0.546078i | −0.959924 | − | 0.280259i | \(-0.909580\pi\) |
0.563175 | + | 0.826337i | \(0.309580\pi\) | |||||||
\(332\) | −7.17268 | − | 14.0772i | −0.393652 | − | 0.772585i | ||||
\(333\) | 1.35247 | − | 0.689120i | 0.0741151 | − | 0.0377635i | ||||
\(334\) | 5.44574 | + | 16.7603i | 0.297978 | + | 0.917081i | ||||
\(335\) | −10.8014 | + | 19.5666i | −0.590141 | + | 1.06904i | ||||
\(336\) | 2.11711i | 0.115498i | ||||||||
\(337\) | −14.4701 | − | 7.37288i | −0.788237 | − | 0.401627i | 0.0130443 | − | 0.999915i | \(-0.495848\pi\) |
−0.801281 | + | 0.598288i | \(0.795848\pi\) | |||||||
\(338\) | −1.87509 | + | 11.8388i | −0.101991 | + | 0.643947i | ||||
\(339\) | 9.54116 | + | 6.93206i | 0.518205 | + | 0.376498i | ||||
\(340\) | 3.60204 | − | 6.52507i | 0.195348 | − | 0.353872i | ||||
\(341\) | −13.4778 | − | 26.2675i | −0.729861 | − | 1.42246i | ||||
\(342\) | −0.653437 | − | 0.653437i | −0.0353338 | − | 0.0353338i | ||||
\(343\) | −19.9022 | + | 3.15221i | −1.07462 | + | 0.170203i | ||||
\(344\) | 0.151939 | − | 0.110390i | 0.00819200 | − | 0.00595184i | ||||
\(345\) | 9.30089 | + | 13.7374i | 0.500743 | + | 0.739596i | ||||
\(346\) | 4.58154 | 0.246305 | ||||||||
\(347\) | 7.68477 | − | 7.68477i | 0.412540 | − | 0.412540i | −0.470082 | − | 0.882623i | \(-0.655776\pi\) |
0.882623 | + | 0.470082i | \(0.155776\pi\) | |||||||
\(348\) | 7.37964 | + | 3.76012i | 0.395590 | + | 0.201563i | ||||
\(349\) | −16.3594 | − | 5.31549i | −0.875698 | − | 0.284531i | −0.163528 | − | 0.986539i | \(-0.552287\pi\) |
−0.712170 | + | 0.702007i | \(0.752287\pi\) | |||||||
\(350\) | −10.2621 | + | 2.59670i | −0.548534 | + | 0.138799i | ||||
\(351\) | −0.814502 | − | 0.591771i | −0.0434749 | − | 0.0315864i | ||||
\(352\) | 4.72461 | + | 2.40731i | 0.251823 | + | 0.128310i | ||||
\(353\) | 3.91664 | + | 24.7287i | 0.208462 | + | 1.31617i | 0.840742 | + | 0.541435i | \(0.182119\pi\) |
−0.632281 | + | 0.774739i | \(0.717881\pi\) | |||||||
\(354\) | 0.257029 | − | 0.186742i | 0.0136609 | − | 0.00992524i | ||||
\(355\) | −10.2218 | − | 0.339103i | −0.542519 | − | 0.0179977i | ||||
\(356\) | 5.65085 | + | 7.77773i | 0.299495 | + | 0.412219i | ||||
\(357\) | 6.96988 | + | 1.10392i | 0.368885 | + | 0.0584257i | ||||
\(358\) | −11.7599 | + | 5.99195i | −0.621529 | + | 0.316685i | ||||
\(359\) | 12.8956 | + | 17.7493i | 0.680606 | + | 0.936774i | 0.999941 | − | 0.0108679i | \(-0.00345943\pi\) |
−0.319335 | + | 0.947642i | \(0.603459\pi\) | |||||||
\(360\) | 2.02491 | − | 0.948537i | 0.106722 | − | 0.0499923i | ||||
\(361\) | 5.60743 | + | 17.2579i | 0.295128 | + | 0.908311i | ||||
\(362\) | 2.12453 | − | 0.336493i | 0.111663 | − | 0.0176857i | ||||
\(363\) | 15.2515 | − | 7.77101i | 0.800494 | − | 0.407872i | ||||
\(364\) | −0.658659 | + | 2.02714i | −0.0345231 | + | 0.106251i | ||||
\(365\) | 13.1618 | + | 2.53457i | 0.688919 | + | 0.132666i | ||||
\(366\) | 0.618521 | 0.0323306 | ||||||||
\(367\) | 2.59731 | − | 2.59731i | 0.135578 | − | 0.135578i | −0.636061 | − | 0.771639i | \(-0.719437\pi\) |
0.771639 | + | 0.636061i | \(0.219437\pi\) | |||||||
\(368\) | −3.36824 | + | 6.61055i | −0.175582 | + | 0.344599i | ||||
\(369\) | −2.16115 | − | 2.97457i | −0.112505 | − | 0.154850i | ||||
\(370\) | −1.15531 | + | 3.19149i | −0.0600616 | + | 0.165918i | ||||
\(371\) | 0.657910i | 0.0341570i | ||||||||
\(372\) | −1.73552 | − | 5.29037i | −0.0899824 | − | 0.274293i | ||||
\(373\) | −10.8698 | + | 10.8698i | −0.562815 | + | 0.562815i | −0.930106 | − | 0.367291i | \(-0.880285\pi\) |
0.367291 | + | 0.930106i | \(0.380285\pi\) | |||||||
\(374\) | 10.3888 | − | 14.2990i | 0.537193 | − | 0.739383i | ||||
\(375\) | 7.08139 | + | 8.65182i | 0.365681 | + | 0.446778i | ||||
\(376\) | 1.32967 | + | 4.09231i | 0.0685725 | + | 0.211045i | ||||
\(377\) | 5.89623 | + | 5.89623i | 0.303671 | + | 0.303671i | ||||
\(378\) | 1.49702 | + | 1.49702i | 0.0769986 | + | 0.0769986i | ||||
\(379\) | 24.2289 | − | 7.87243i | 1.24455 | − | 0.404380i | 0.388587 | − | 0.921412i | \(-0.372963\pi\) |
0.855966 | + | 0.517032i | \(0.172963\pi\) | |||||||
\(380\) | 2.06521 | + | 0.0685122i | 0.105943 | + | 0.00351460i | ||||
\(381\) | −2.16481 | + | 6.66259i | −0.110906 | + | 0.341335i | ||||
\(382\) | −1.66281 | − | 10.4986i | −0.0850769 | − | 0.537154i | ||||
\(383\) | −14.5335 | + | 28.5235i | −0.742625 | + | 1.45748i | 0.141355 | + | 0.989959i | \(0.454854\pi\) |
−0.883980 | + | 0.467525i | \(0.845146\pi\) | |||||||
\(384\) | 0.809017 | + | 0.587785i | 0.0412850 | + | 0.0299953i | ||||
\(385\) | −24.9098 | + | 3.10266i | −1.26952 | + | 0.158126i | ||||
\(386\) | 1.41465 | − | 4.35386i | 0.0720040 | − | 0.221605i | ||||
\(387\) | 0.0293795 | − | 0.185495i | 0.00149344 | − | 0.00942922i | ||||
\(388\) | −1.37838 | + | 8.70273i | −0.0699765 | + | 0.441814i | ||||
\(389\) | 0.376711 | − | 1.15940i | 0.0191000 | − | 0.0587838i | −0.941052 | − | 0.338261i | \(-0.890161\pi\) |
0.960152 | + | 0.279478i | \(0.0901612\pi\) | |||||||
\(390\) | 2.23397 | − | 0.278253i | 0.113121 | − | 0.0140899i | ||||
\(391\) | 20.0067 | + | 14.5358i | 1.01178 | + | 0.735105i | ||||
\(392\) | −1.14308 | + | 2.24341i | −0.0577340 | + | 0.113309i | ||||
\(393\) | −1.12164 | − | 7.08175i | −0.0565792 | − | 0.357227i | ||||
\(394\) | 6.92658 | − | 21.3178i | 0.348956 | − | 1.07398i | ||||
\(395\) | 3.55039 | + | 0.117782i | 0.178640 | + | 0.00592626i | ||||
\(396\) | 5.04303 | − | 1.63858i | 0.253422 | − | 0.0823418i | ||||
\(397\) | 8.20239 | + | 8.20239i | 0.411666 | + | 0.411666i | 0.882319 | − | 0.470652i | \(-0.155981\pi\) |
−0.470652 | + | 0.882319i | \(0.655981\pi\) | |||||||
\(398\) | −15.5331 | − | 15.5331i | −0.778603 | − | 0.778603i | ||||
\(399\) | 0.604568 | + | 1.86067i | 0.0302662 | + | 0.0931499i | ||||
\(400\) | −1.85685 | + | 4.64243i | −0.0928424 | + | 0.232121i | ||||
\(401\) | 12.5481 | − | 17.2710i | 0.626621 | − | 0.862470i | −0.371193 | − | 0.928556i | \(-0.621051\pi\) |
0.997814 | + | 0.0660857i | \(0.0210511\pi\) | |||||||
\(402\) | −7.06767 | + | 7.06767i | −0.352503 | + | 0.352503i | ||||
\(403\) | −0.0158687 | − | 5.60549i | −0.000790476 | − | 0.279229i | ||||
\(404\) | 1.81823i | 0.0904605i | ||||||||
\(405\) | 0.761114 | − | 2.10255i | 0.0378200 | − | 0.104476i | ||||
\(406\) | −10.3066 | − | 14.1859i | −0.511510 | − | 0.704033i | ||||
\(407\) | −3.65410 | + | 7.17157i | −0.181127 | + | 0.355482i | ||||
\(408\) | 2.35693 | − | 2.35693i | 0.116686 | − | 0.116686i | ||||
\(409\) | 1.47317 | 0.0728435 | 0.0364218 | − | 0.999337i | \(-0.488404\pi\) | ||||
0.0364218 | + | 0.999337i | \(0.488404\pi\) | |||||||
\(410\) | 8.07318 | + | 1.55466i | 0.398706 | + | 0.0767791i | ||||
\(411\) | 0.737660 | − | 2.27028i | 0.0363861 | − | 0.111985i | ||||
\(412\) | 12.8384 | − | 6.54150i | 0.632503 | − | 0.322276i | ||||
\(413\) | −0.664336 | + | 0.105220i | −0.0326898 | + | 0.00517756i | ||||
\(414\) | 2.29266 | + | 7.05607i | 0.112678 | + | 0.346787i | ||||
\(415\) | 31.9920 | − | 14.9861i | 1.57042 | − | 0.735639i | ||||
\(416\) | 0.591771 | + | 0.814502i | 0.0290139 | + | 0.0399343i | ||||
\(417\) | 17.2165 | − | 8.77225i | 0.843096 | − | 0.429579i | ||||
\(418\) | 4.83977 | + | 0.766544i | 0.236721 | + | 0.0374929i | ||||
\(419\) | 20.9548 | + | 28.8418i | 1.02371 | + | 1.40901i | 0.909572 | + | 0.415547i | \(0.136410\pi\) |
0.114135 | + | 0.993465i | \(0.463590\pi\) | |||||||
\(420\) | −4.73140 | − | 0.156961i | −0.230869 | − | 0.00765893i | ||||
\(421\) | −22.3044 | + | 16.2051i | −1.08705 | + | 0.789788i | −0.978899 | − | 0.204346i | \(-0.934493\pi\) |
−0.108151 | + | 0.994134i | \(0.534493\pi\) | |||||||
\(422\) | −2.24381 | − | 14.1669i | −0.109227 | − | 0.689633i | ||||
\(423\) | 3.83392 | + | 1.95348i | 0.186411 | + | 0.0949814i | ||||
\(424\) | 0.251409 | + | 0.182659i | 0.0122095 | + | 0.00887072i | ||||
\(425\) | 14.3154 | + | 8.53375i | 0.694400 | + | 0.413947i | ||||
\(426\) | −4.35000 | − | 1.41340i | −0.210758 | − | 0.0684795i | ||||
\(427\) | −1.16675 | − | 0.594490i | −0.0564631 | − | 0.0287694i | ||||
\(428\) | −0.527543 | + | 0.527543i | −0.0254998 | + | 0.0254998i | ||||
\(429\) | 5.33851 | 0.257746 | ||||||||
\(430\) | 0.235439 | + | 0.347743i | 0.0113539 | + | 0.0167697i | ||||
\(431\) | −18.6793 | + | 13.5713i | −0.899750 | + | 0.653707i | −0.938402 | − | 0.345546i | \(-0.887694\pi\) |
0.0386517 | + | 0.999253i | \(0.487694\pi\) | |||||||
\(432\) | 0.987688 | − | 0.156434i | 0.0475202 | − | 0.00752646i | ||||
\(433\) | 1.58373 | + | 1.58373i | 0.0761094 | + | 0.0761094i | 0.744137 | − | 0.668027i | \(-0.232861\pi\) |
−0.668027 | + | 0.744137i | \(0.732861\pi\) | |||||||
\(434\) | −1.81102 | + | 11.6476i | −0.0869316 | + | 0.559104i | ||||
\(435\) | −8.95037 | + | 16.2135i | −0.429138 | + | 0.777380i | ||||
\(436\) | 7.04107 | + | 5.11564i | 0.337206 | + | 0.244994i | ||||
\(437\) | −1.07253 | + | 6.77167i | −0.0513059 | + | 0.323933i | ||||
\(438\) | 5.34094 | + | 2.72134i | 0.255200 | + | 0.130031i | ||||
\(439\) | − | 16.9195i | − | 0.807524i | −0.914864 | − | 0.403762i | \(-0.867702\pi\) | ||
0.914864 | − | 0.403762i | \(-0.132298\pi\) | |||||||
\(440\) | −5.73023 | + | 10.3803i | −0.273178 | + | 0.494860i | ||||
\(441\) | 0.778055 | + | 2.39461i | 0.0370503 | + | 0.114029i | ||||
\(442\) | 2.99004 | − | 1.52350i | 0.142222 | − | 0.0724657i | ||||
\(443\) | 8.60318 | + | 16.8847i | 0.408749 | + | 0.802216i | 0.999991 | − | 0.00427871i | \(-0.00136196\pi\) |
−0.591241 | + | 0.806495i | \(0.701362\pi\) | |||||||
\(444\) | −0.892209 | + | 1.22802i | −0.0423424 | + | 0.0582793i | ||||
\(445\) | −17.8009 | + | 12.0521i | −0.843845 | + | 0.571325i | ||||
\(446\) | 15.2909 | − | 21.0461i | 0.724044 | − | 0.996560i | ||||
\(447\) | 2.46448 | − | 15.5601i | 0.116566 | − | 0.735967i | ||||
\(448\) | −0.961148 | − | 1.88636i | −0.0454100 | − | 0.0891221i | ||||
\(449\) | −15.4616 | + | 11.2335i | −0.729676 | + | 0.530141i | −0.889461 | − | 0.457011i | \(-0.848920\pi\) |
0.159785 | + | 0.987152i | \(0.448920\pi\) | |||||||
\(450\) | 1.96970 | + | 4.59568i | 0.0928526 | + | 0.216642i | ||||
\(451\) | 18.5421 | + | 6.02468i | 0.873112 | + | 0.283691i | ||||
\(452\) | −11.6483 | − | 1.84491i | −0.547891 | − | 0.0867774i | ||||
\(453\) | −23.8116 | + | 3.77138i | −1.11877 | + | 0.177195i | ||||
\(454\) | −4.96069 | + | 1.61183i | −0.232817 | + | 0.0756468i | ||||
\(455\) | −4.48151 | − | 1.62229i | −0.210096 | − | 0.0760540i | ||||
\(456\) | 0.878871 | + | 0.285563i | 0.0411569 | + | 0.0133727i | ||||
\(457\) | −4.61199 | − | 9.05155i | −0.215740 | − | 0.423413i | 0.757620 | − | 0.652696i | \(-0.226362\pi\) |
−0.973360 | + | 0.229282i | \(0.926362\pi\) | |||||||
\(458\) | −8.85521 | + | 17.3793i | −0.413777 | + | 0.812083i | ||||
\(459\) | − | 3.33320i | − | 0.155581i | ||||||
\(460\) | −14.5238 | − | 8.01758i | −0.677175 | − | 0.373822i | ||||
\(461\) | −17.6890 | + | 5.74750i | −0.823859 | + | 0.267688i | −0.690456 | − | 0.723374i | \(-0.742590\pi\) |
−0.133402 | + | 0.991062i | \(0.542590\pi\) | |||||||
\(462\) | −11.0879 | − | 1.75615i | −0.515855 | − | 0.0817035i | ||||
\(463\) | 5.85768 | + | 36.9839i | 0.272229 | + | 1.71879i | 0.622911 | + | 0.782293i | \(0.285950\pi\) |
−0.350681 | + | 0.936495i | \(0.614050\pi\) | |||||||
\(464\) | −8.28237 | −0.384499 | ||||||||
\(465\) | 11.9518 | − | 3.48638i | 0.554251 | − | 0.161677i | ||||
\(466\) | −17.9587 | −0.831919 | ||||||||
\(467\) | 2.65301 | + | 16.7504i | 0.122767 | + | 0.775118i | 0.969858 | + | 0.243671i | \(0.0783516\pi\) |
−0.847092 | + | 0.531447i | \(0.821648\pi\) | |||||||
\(468\) | 0.994385 | + | 0.157495i | 0.0459655 | + | 0.00728021i | ||||
\(469\) | 20.1253 | − | 6.53909i | 0.929298 | − | 0.301947i | ||||
\(470\) | −9.24422 | + | 2.66820i | −0.426404 | + | 0.123075i | ||||
\(471\) | 8.22313i | 0.378902i | ||||||||
\(472\) | −0.144235 | + | 0.283077i | −0.00663895 | + | 0.0130297i | ||||
\(473\) | 0.452110 | + | 0.887315i | 0.0207880 | + | 0.0407988i | ||||
\(474\) | 1.51090 | + | 0.490922i | 0.0693981 | + | 0.0225488i | ||||
\(475\) | −0.306227 | + | 4.61034i | −0.0140507 | + | 0.211537i | ||||
\(476\) | −6.71138 | + | 2.18066i | −0.307616 | + | 0.0999504i | ||||
\(477\) | 0.306932 | − | 0.0486133i | 0.0140535 | − | 0.00222585i | ||||
\(478\) | −26.0697 | − | 4.12904i | −1.19240 | − | 0.188858i | ||||
\(479\) | −15.7904 | − | 5.13060i | −0.721480 | − | 0.234423i | −0.0748154 | − | 0.997197i | \(-0.523837\pi\) |
−0.646665 | + | 0.762774i | \(0.723837\pi\) | |||||||
\(480\) | −1.37359 | + | 1.76444i | −0.0626953 | + | 0.0805355i | ||||
\(481\) | −1.23635 | + | 0.898259i | −0.0563726 | + | 0.0409571i | ||||
\(482\) | 2.21536 | + | 4.34788i | 0.100907 | + | 0.198041i | ||||
\(483\) | 2.45716 | − | 15.5139i | 0.111805 | − | 0.705906i | ||||
\(484\) | −10.0612 | + | 13.8480i | −0.457327 | + | 0.629456i | ||||
\(485\) | −19.3470 | − | 3.72566i | −0.878502 | − | 0.169174i | ||||
\(486\) | 0.587785 | − | 0.809017i | 0.0266625 | − | 0.0366978i | ||||
\(487\) | 8.04640 | + | 15.7919i | 0.364617 | + | 0.715601i | 0.998318 | − | 0.0579769i | \(-0.0184650\pi\) |
−0.633701 | + | 0.773578i | \(0.718465\pi\) | |||||||
\(488\) | −0.551106 | + | 0.280803i | −0.0249474 | + | 0.0127113i | ||||
\(489\) | −3.25749 | − | 10.0255i | −0.147309 | − | 0.453369i | ||||
\(490\) | −4.92892 | − | 2.72091i | −0.222666 | − | 0.122918i | ||||
\(491\) | 26.4962i | 1.19576i | 0.801587 | + | 0.597879i | \(0.203990\pi\) | ||||
−0.801587 | + | 0.597879i | \(0.796010\pi\) | |||||||
\(492\) | 3.27603 | + | 1.66922i | 0.147695 | + | 0.0752542i | ||||
\(493\) | −4.31866 | + | 27.2669i | −0.194503 | + | 1.22804i | ||||
\(494\) | 0.752682 | + | 0.546855i | 0.0338647 | + | 0.0246042i | ||||
\(495\) | 3.28808 | + | 11.3918i | 0.147788 | + | 0.512025i | ||||
\(496\) | 3.94813 | + | 3.92584i | 0.177276 | + | 0.176276i | ||||
\(497\) | 6.84718 | + | 6.84718i | 0.307138 | + | 0.307138i | ||||
\(498\) | 15.6047 | − | 2.47154i | 0.699262 | − | 0.110752i | ||||
\(499\) | 13.4592 | − | 9.77868i | 0.602516 | − | 0.437754i | −0.244255 | − | 0.969711i | \(-0.578543\pi\) |
0.846771 | + | 0.531957i | \(0.178543\pi\) | |||||||
\(500\) | −10.2374 | − | 4.49394i | −0.457831 | − | 0.200975i | ||||
\(501\) | −17.6228 | −0.787328 | ||||||||
\(502\) | −8.26655 | + | 8.26655i | −0.368954 | + | 0.368954i | ||||
\(503\) | −5.89998 | − | 3.00619i | −0.263067 | − | 0.134039i | 0.317483 | − | 0.948264i | \(-0.397162\pi\) |
−0.580550 | + | 0.814225i | \(0.697162\pi\) | |||||||
\(504\) | −2.01349 | − | 0.654223i | −0.0896881 | − | 0.0291414i | ||||
\(505\) | −4.06346 | − | 0.134803i | −0.180822 | − | 0.00599864i | ||||
\(506\) | −31.8273 | − | 23.1239i | −1.41490 | − | 1.02798i | ||||
\(507\) | −10.6800 | − | 5.44171i | −0.474313 | − | 0.241675i | ||||
\(508\) | −1.09589 | − | 6.91921i | −0.0486225 | − | 0.306990i | ||||
\(509\) | −35.4170 | + | 25.7320i | −1.56983 | + | 1.14055i | −0.642515 | + | 0.766273i | \(0.722109\pi\) |
−0.927317 | + | 0.374277i | \(0.877891\pi\) | |||||||
\(510\) | 5.09262 | + | 5.44210i | 0.225505 | + | 0.240980i | ||||
\(511\) | −7.45931 | − | 10.2669i | −0.329981 | − | 0.454179i | ||||
\(512\) | −0.987688 | − | 0.156434i | −0.0436501 | − | 0.00691349i | ||||
\(513\) | 0.823379 | − | 0.419533i | 0.0363531 | − | 0.0185228i | ||||
\(514\) | 15.9059 | + | 21.8926i | 0.701580 | + | 0.965642i | ||||
\(515\) | 13.6674 | + | 29.1768i | 0.602256 | + | 1.28568i | ||||
\(516\) | 0.0580355 | + | 0.178615i | 0.00255487 | + | 0.00786309i | ||||
\(517\) | −22.5355 | + | 3.56927i | −0.991110 | + | 0.156976i | ||||
\(518\) | 2.86334 | − | 1.45894i | 0.125808 | − | 0.0641023i | ||||
\(519\) | −1.41577 | + | 4.35730i | −0.0621455 | + | 0.191264i | ||||
\(520\) | −1.86415 | + | 1.26213i | −0.0817486 | + | 0.0553478i | ||||
\(521\) | −1.64903 | −0.0722452 | −0.0361226 | − | 0.999347i | \(-0.511501\pi\) | ||||
−0.0361226 | + | 0.999347i | \(0.511501\pi\) | |||||||
\(522\) | −5.85652 | + | 5.85652i | −0.256333 | + | 0.256333i | ||||
\(523\) | 14.0042 | − | 27.4848i | 0.612362 | − | 1.20183i | −0.351691 | − | 0.936116i | \(-0.614393\pi\) |
0.964053 | − | 0.265711i | \(-0.0856067\pi\) | |||||||
\(524\) | 4.21443 | + | 5.80067i | 0.184108 | + | 0.253403i | ||||
\(525\) | 0.701566 | − | 10.5623i | 0.0306189 | − | 0.460976i | ||||
\(526\) | 31.8447i | 1.38850i | ||||||||
\(527\) | 14.9832 | − | 10.9509i | 0.652678 | − | 0.477027i | ||||
\(528\) | −3.74947 | + | 3.74947i | −0.163175 | + | 0.163175i | ||||
\(529\) | 18.8353 | − | 25.9245i | 0.818924 | − | 1.12715i | ||||
\(530\) | −0.426853 | + | 0.548316i | −0.0185413 | + | 0.0238173i | ||||
\(531\) | 0.0981762 | + | 0.302155i | 0.00426049 | + | 0.0131124i | ||||
\(532\) | −1.38340 | − | 1.38340i | −0.0599780 | − | 0.0599780i | ||||
\(533\) | 2.61750 | + | 2.61750i | 0.113376 | + | 0.113376i | ||||
\(534\) | −9.14327 | + | 2.97083i | −0.395668 | + | 0.128560i | ||||
\(535\) | −1.13986 | − | 1.21809i | −0.0492805 | − | 0.0526624i | ||||
\(536\) | 3.08869 | − | 9.50600i | 0.133411 | − | 0.410597i | ||||
\(537\) | −2.06469 | − | 13.0359i | −0.0890978 | − | 0.562541i | ||||
\(538\) | −4.66898 | + | 9.16340i | −0.201294 | + | 0.395062i | ||||
\(539\) | −10.8012 | − | 7.84752i | −0.465240 | − | 0.338016i | ||||
\(540\) | 0.276379 | + | 2.21892i | 0.0118935 | + | 0.0954872i | ||||
\(541\) | 4.93145 | − | 15.1774i | 0.212019 | − | 0.652529i | −0.787332 | − | 0.616529i | \(-0.788538\pi\) |
0.999352 | − | 0.0359999i | \(-0.0114616\pi\) | |||||||
\(542\) | 2.56744 | − | 16.2102i | 0.110281 | − | 0.696287i | ||||
\(543\) | −0.336493 | + | 2.12453i | −0.0144403 | + | 0.0911725i | ||||
\(544\) | −1.03002 | + | 3.17007i | −0.0441616 | + | 0.135915i | ||||
\(545\) | −11.9546 | + | 15.3564i | −0.512080 | + | 0.657795i | ||||
\(546\) | −1.72439 | − | 1.25284i | −0.0737972 | − | 0.0536168i | ||||
\(547\) | −0.903230 | + | 1.77269i | −0.0386193 | + | 0.0757947i | −0.909510 | − | 0.415682i | \(-0.863543\pi\) |
0.870891 | + | 0.491477i | \(0.163543\pi\) | |||||||
\(548\) | 0.373427 | + | 2.35773i | 0.0159520 | + | 0.100717i | ||||
\(549\) | −0.191133 | + | 0.588248i | −0.00815738 | + | 0.0251058i | ||||
\(550\) | −22.7734 | − | 13.5757i | −0.971061 | − | 0.578871i | ||||
\(551\) | −7.27913 | + | 2.36513i | −0.310102 | + | 0.100758i | ||||
\(552\) | −5.24616 | − | 5.24616i | −0.223292 | − | 0.223292i | ||||
\(553\) | −2.37826 | − | 2.37826i | −0.101134 | − | 0.101134i | ||||
\(554\) | 6.63714 | + | 20.4270i | 0.281985 | + | 0.867861i | ||||
\(555\) | −2.67828 | − | 2.08499i | −0.113687 | − | 0.0885028i | ||||
\(556\) | −11.3575 | + | 15.6323i | −0.481666 | + | 0.662956i | ||||
\(557\) | −29.6321 | + | 29.6321i | −1.25555 | + | 1.25555i | −0.302355 | + | 0.953195i | \(0.597773\pi\) |
−0.953195 | + | 0.302355i | \(0.902227\pi\) | |||||||
\(558\) | 5.56774 | − | 0.0157618i | 0.235701 | − | 0.000667251i | ||||
\(559\) | 0.189080i | 0.00799724i | ||||||||
\(560\) | 4.28697 | − | 2.00816i | 0.181157 | − | 0.0848602i | ||||
\(561\) | 10.3888 | + | 14.2990i | 0.438616 | + | 0.603703i | ||||
\(562\) | 9.57090 | − | 18.7840i | 0.403724 | − | 0.792353i | ||||
\(563\) | 20.1130 | − | 20.1130i | 0.847660 | − | 0.847660i | −0.142181 | − | 0.989841i | \(-0.545411\pi\) |
0.989841 | + | 0.142181i | \(0.0454114\pi\) | |||||||
\(564\) | −4.30291 | −0.181185 | ||||||||
\(565\) | 4.98668 | − | 25.8953i | 0.209791 | − | 1.08943i | ||||
\(566\) | −1.09308 | + | 3.36417i | −0.0459458 | + | 0.141407i | ||||
\(567\) | −1.88636 | + | 0.961148i | −0.0792197 | + | 0.0403644i | ||||
\(568\) | 4.51755 | − | 0.715509i | 0.189552 | − | 0.0300221i | ||||
\(569\) | 11.9077 | + | 36.6480i | 0.499195 | + | 1.53637i | 0.810315 | + | 0.585995i | \(0.199296\pi\) |
−0.311120 | + | 0.950371i | \(0.600704\pi\) | |||||||
\(570\) | −0.703345 | + | 1.94296i | −0.0294599 | + | 0.0813818i | ||||
\(571\) | −12.9290 | − | 17.7952i | −0.541060 | − | 0.744706i | 0.447705 | − | 0.894181i | \(-0.352241\pi\) |
−0.988765 | + | 0.149475i | \(0.952241\pi\) | |||||||
\(572\) | −4.75665 | + | 2.42363i | −0.198885 | + | 0.101337i | ||||
\(573\) | 10.4986 | + | 1.66281i | 0.438585 | + | 0.0694650i | ||||
\(574\) | −4.57540 | − | 6.29750i | −0.190973 | − | 0.262852i | ||||
\(575\) | 18.9948 | − | 31.8639i | 0.792138 | − | 1.32882i | ||||
\(576\) | −0.809017 | + | 0.587785i | −0.0337090 | + | 0.0244911i | ||||
\(577\) | 0.490834 | + | 3.09901i | 0.0204337 | + | 0.129013i | 0.995796 | − | 0.0915938i | \(-0.0291961\pi\) |
−0.975363 | + | 0.220607i | \(0.929196\pi\) | |||||||
\(578\) | −5.24780 | − | 2.67389i | −0.218280 | − | 0.111219i | ||||
\(579\) | 3.70361 | + | 2.69083i | 0.153917 | + | 0.111827i | ||||
\(580\) | 0.614049 | − | 18.5098i | 0.0254970 | − | 0.768576i | ||||
\(581\) | −31.8115 | − | 10.3362i | −1.31976 | − | 0.428817i | ||||
\(582\) | −7.85084 | − | 4.00021i | −0.325428 | − | 0.165814i | ||||
\(583\) | −1.16518 | + | 1.16518i | −0.0482569 | + | 0.0482569i | ||||
\(584\) | −5.99427 | −0.248045 | ||||||||
\(585\) | −0.425699 | + | 2.21061i | −0.0176005 | + | 0.0913976i | ||||
\(586\) | 0.151375 | − | 0.109981i | 0.00625326 | − | 0.00454326i | ||||
\(587\) | −19.7780 | + | 3.13253i | −0.816327 | + | 0.129294i | −0.550615 | − | 0.834759i | \(-0.685607\pi\) |
−0.265712 | + | 0.964053i | \(0.585607\pi\) | |||||||
\(588\) | −1.78038 | − | 1.78038i | −0.0734217 | − | 0.0734217i | ||||
\(589\) | 4.59098 | + | 2.32287i | 0.189168 | + | 0.0957123i | ||||
\(590\) | −0.621938 | − | 0.343329i | −0.0256048 | − | 0.0141346i | ||||
\(591\) | 18.1340 | + | 13.1751i | 0.745934 | + | 0.541952i | ||||
\(592\) | 0.237455 | − | 1.49923i | 0.00975932 | − | 0.0616179i | ||||
\(593\) | −4.61366 | − | 2.35078i | −0.189460 | − | 0.0965348i | 0.356687 | − | 0.934224i | \(-0.383906\pi\) |
−0.546147 | + | 0.837689i | \(0.683906\pi\) | |||||||
\(594\) | 5.30256i | 0.217567i | ||||||||
\(595\) | −4.37585 | − | 15.1605i | −0.179392 | − | 0.621521i | ||||
\(596\) | 4.86827 | + | 14.9830i | 0.199412 | + | 0.613727i | ||||
\(597\) | 19.5728 | − | 9.97286i | 0.801063 | − | 0.408162i | ||||
\(598\) | −3.39108 | − | 6.65537i | −0.138672 | − | 0.272158i | ||||
\(599\) | −22.8223 | + | 31.4121i | −0.932492 | + | 1.28347i | 0.0263872 | + | 0.999652i | \(0.491600\pi\) |
−0.958879 | + | 0.283814i | \(0.908400\pi\) | |||||||
\(600\) | −3.84141 | − | 3.20056i | −0.156825 | − | 0.130662i | ||||
\(601\) | 4.98062 | − | 6.85524i | 0.203164 | − | 0.279631i | −0.695262 | − | 0.718756i | \(-0.744712\pi\) |
0.898426 | + | 0.439125i | \(0.144712\pi\) | |||||||
\(602\) | 0.0621996 | − | 0.392713i | 0.00253507 | − | 0.0160058i | ||||
\(603\) | −4.53772 | − | 8.90579i | −0.184790 | − | 0.362672i | ||||
\(604\) | 19.5041 | − | 14.1706i | 0.793610 | − | 0.576592i | ||||
\(605\) | −30.2022 | − | 23.5118i | −1.22789 | − | 0.955891i | ||||
\(606\) | −1.72924 | − | 0.561865i | −0.0702457 | − | 0.0228242i | ||||
\(607\) | 32.3659 | + | 5.12625i | 1.31369 | + | 0.208068i | 0.773673 | − | 0.633585i | \(-0.218417\pi\) |
0.540018 | + | 0.841653i | \(0.318417\pi\) | |||||||
\(608\) | −0.912723 | + | 0.144561i | −0.0370158 | + | 0.00586273i | ||||
\(609\) | 16.6765 | − | 5.41852i | 0.675765 | − | 0.219569i | ||||
\(610\) | −0.586690 | − | 1.25245i | −0.0237544 | − | 0.0507103i | ||||
\(611\) | −4.12005 | − | 1.33869i | −0.166680 | − | 0.0541575i | ||||
\(612\) | 1.51324 | + | 2.96991i | 0.0611692 | + | 0.120051i | ||||
\(613\) | 10.4204 | − | 20.4513i | 0.420877 | − | 0.826018i | −0.579065 | − | 0.815281i | \(-0.696582\pi\) |
0.999942 | − | 0.0107369i | \(-0.00341773\pi\) | |||||||
\(614\) | − | 6.84905i | − | 0.276405i | ||||||
\(615\) | −3.97332 | + | 7.19764i | −0.160220 | + | 0.290237i | ||||
\(616\) | 10.6767 | − | 3.46906i | 0.430175 | − | 0.139772i | ||||
\(617\) | 21.5082 | + | 3.40657i | 0.865890 | + | 0.137143i | 0.573549 | − | 0.819171i | \(-0.305566\pi\) |
0.292340 | + | 0.956314i | \(0.405566\pi\) | |||||||
\(618\) | 2.25405 | + | 14.2315i | 0.0906710 | + | 0.572474i | ||||
\(619\) | 18.8818 | 0.758925 | 0.379462 | − | 0.925207i | \(-0.376109\pi\) | ||||
0.379462 | + | 0.925207i | \(0.376109\pi\) | |||||||
\(620\) | −9.06634 | + | 8.53238i | −0.364113 | + | 0.342669i | ||||
\(621\) | −7.41920 | −0.297722 | ||||||||
\(622\) | 2.34867 | + | 14.8289i | 0.0941730 | + | 0.594585i | ||||
\(623\) | 20.1029 | + | 3.18399i | 0.805406 | + | 0.127564i | ||||
\(624\) | −0.957505 | + | 0.311112i | −0.0383309 | + | 0.0124545i | ||||
\(625\) | 10.8022 | − | 22.5458i | 0.432089 | − | 0.901831i | ||||
\(626\) | 7.88263i | 0.315053i | ||||||||
\(627\) | −2.22460 | + | 4.36602i | −0.0888418 | + | 0.174362i | ||||
\(628\) | −3.73322 | − | 7.32686i | −0.148972 | − | 0.292374i | ||||
\(629\) | −4.81190 | − | 1.56348i | −0.191863 | − | 0.0623401i | ||||
\(630\) | 1.61136 | − | 4.45133i | 0.0641982 | − | 0.177345i | ||||
\(631\) | −26.5225 | + | 8.61770i | −1.05585 | + | 0.343065i | −0.784960 | − | 0.619546i | \(-0.787317\pi\) |
−0.270886 | + | 0.962611i | \(0.587317\pi\) | |||||||
\(632\) | −1.56910 | + | 0.248521i | −0.0624154 | + | 0.00988563i | ||||
\(633\) | 14.1669 | + | 2.24381i | 0.563083 | + | 0.0891836i | ||||
\(634\) | 16.5149 | + | 5.36602i | 0.655892 | + | 0.213112i | ||||
\(635\) | 15.5446 | − | 1.93616i | 0.616867 | − | 0.0768343i | ||||
\(636\) | −0.251409 | + | 0.182659i | −0.00996901 | + | 0.00724291i | ||||
\(637\) | −1.15083 | − | 2.25862i | −0.0455974 | − | 0.0894899i | ||||
\(638\) | 6.87025 | − | 43.3770i | 0.271996 | − | 1.71731i | ||||
\(639\) | 2.68845 | − | 3.70033i | 0.106353 | − | 0.146383i | ||||
\(640\) | 0.422832 | − | 2.19573i | 0.0167139 | − | 0.0867937i | ||||
\(641\) | 22.2961 | − | 30.6880i | 0.880644 | − | 1.21210i | −0.0955982 | − | 0.995420i | \(-0.530476\pi\) |
0.976242 | − | 0.216682i | \(-0.0695236\pi\) | |||||||
\(642\) | −0.338704 | − | 0.664743i | −0.0133676 | − | 0.0262353i | ||||
\(643\) | −15.9105 | + | 8.10680i | −0.627449 | + | 0.319701i | −0.738642 | − | 0.674098i | \(-0.764533\pi\) |
0.111193 | + | 0.993799i | \(0.464533\pi\) | |||||||
\(644\) | 4.85381 | + | 14.9385i | 0.191267 | + | 0.588659i | ||||
\(645\) | −0.403478 | + | 0.116458i | −0.0158869 | + | 0.00458551i | ||||
\(646\) | 3.08021i | 0.121189i | ||||||||
\(647\) | −17.0458 | − | 8.68529i | −0.670141 | − | 0.341454i | 0.0855950 | − | 0.996330i | \(-0.472721\pi\) |
−0.755736 | + | 0.654876i | \(0.772721\pi\) | |||||||
\(648\) | −0.156434 | + | 0.987688i | −0.00614533 | + | 0.0388001i | ||||
\(649\) | −1.36291 | − | 0.990212i | −0.0534989 | − | 0.0388692i | ||||
\(650\) | −2.68244 | − | 4.25966i | −0.105214 | − | 0.167078i | ||||
\(651\) | −10.5179 | − | 5.32169i | −0.412230 | − | 0.208574i | ||||
\(652\) | 7.45393 | + | 7.45393i | 0.291918 | + | 0.291918i | ||||
\(653\) | 37.2934 | − | 5.90669i | 1.45940 | − | 0.231147i | 0.624275 | − | 0.781204i | \(-0.285394\pi\) |
0.835127 | + | 0.550058i | \(0.185394\pi\) | |||||||
\(654\) | −7.04107 | + | 5.11564i | −0.275328 | + | 0.200037i | ||||
\(655\) | −13.2760 | + | 8.98852i | −0.518737 | + | 0.351211i | ||||
\(656\) | −3.67677 | −0.143554 | ||||||||
\(657\) | −4.23859 | + | 4.23859i | −0.165363 | + | 0.165363i | ||||
\(658\) | 8.11683 | + | 4.13573i | 0.316427 | + | 0.161228i | ||||
\(659\) | −32.0615 | − | 10.4174i | −1.24894 | − | 0.405805i | −0.391398 | − | 0.920222i | \(-0.628008\pi\) |
−0.857540 | + | 0.514417i | \(0.828008\pi\) | |||||||
\(660\) | −8.10149 | − | 8.65745i | −0.315350 | − | 0.336991i | ||||
\(661\) | 8.38366 | + | 6.09108i | 0.326086 | + | 0.236916i | 0.738768 | − | 0.673960i | \(-0.235408\pi\) |
−0.412682 | + | 0.910875i | \(0.635408\pi\) | |||||||
\(662\) | 10.9419 | + | 5.57517i | 0.425268 | + | 0.216685i | ||||
\(663\) | 0.524964 | + | 3.31449i | 0.0203879 | + | 0.128724i | ||||
\(664\) | −12.7818 | + | 9.28652i | −0.496030 | + | 0.360387i | ||||
\(665\) | 3.19424 | − | 2.98911i | 0.123867 | − | 0.115913i | ||||
\(666\) | −0.892209 | − | 1.22802i | −0.0345724 | − | 0.0475848i | ||||
\(667\) | 60.6920 | + | 9.61266i | 2.35000 | + | 0.372204i | ||||
\(668\) | 15.7020 | − | 8.00058i | 0.607530 | − | 0.309552i | ||||
\(669\) | 15.2909 | + | 21.0461i | 0.591179 | + | 0.813688i | ||||
\(670\) | 21.0154 | + | 7.60748i | 0.811895 | + | 0.293903i | ||||
\(671\) | −1.01350 | − | 3.11922i | −0.0391256 | − | 0.120416i | ||||
\(672\) | 2.09105 | − | 0.331189i | 0.0806639 | − | 0.0127759i | ||||
\(673\) | −11.7868 | + | 6.00568i | −0.454348 | + | 0.231502i | −0.666160 | − | 0.745809i | \(-0.732063\pi\) |
0.211813 | + | 0.977310i | \(0.432063\pi\) | |||||||
\(674\) | −5.01849 | + | 15.4453i | −0.193305 | + | 0.594932i | ||||
\(675\) | −4.97942 | + | 0.453153i | −0.191658 | + | 0.0174419i | ||||
\(676\) | 11.9864 | 0.461015 | ||||||||
\(677\) | 31.1090 | − | 31.1090i | 1.19562 | − | 1.19562i | 0.220149 | − | 0.975466i | \(-0.429346\pi\) |
0.975466 | − | 0.220149i | \(-0.0706543\pi\) | |||||||
\(678\) | 5.35415 | − | 10.5081i | 0.205625 | − | 0.403561i | ||||
\(679\) | 10.9647 | + | 15.0917i | 0.420788 | + | 0.579165i | ||||
\(680\) | −7.00822 | − | 2.53695i | −0.268753 | − | 0.0972875i | ||||
\(681\) | − | 5.21598i | − | 0.199877i | ||||||
\(682\) | −23.8357 | + | 17.4210i | −0.912716 | + | 0.667083i | ||||
\(683\) | 13.9077 | − | 13.9077i | 0.532164 | − | 0.532164i | −0.389052 | − | 0.921216i | \(-0.627197\pi\) |
0.921216 | + | 0.389052i | \(0.127197\pi\) | |||||||
\(684\) | −0.543172 | + | 0.747613i | −0.0207687 | + | 0.0285857i | ||||
\(685\) | −5.29683 | + | 0.659750i | −0.202381 | + | 0.0252077i | ||||
\(686\) | 6.22679 | + | 19.1641i | 0.237740 | + | 0.731689i | ||||
\(687\) | −13.7923 | − | 13.7923i | −0.526210 | − | 0.526210i | ||||
\(688\) | −0.132800 | − | 0.132800i | −0.00506293 | − | 0.00506293i | ||||
\(689\) | −0.297553 | + | 0.0966807i | −0.0113359 | + | 0.00368324i | ||||
\(690\) | 12.1133 | − | 11.3354i | 0.461144 | − | 0.431531i | ||||
\(691\) | −8.83464 | + | 27.1902i | −0.336085 | + | 1.03436i | 0.630100 | + | 0.776514i | \(0.283014\pi\) |
−0.966185 | + | 0.257850i | \(0.916986\pi\) | |||||||
\(692\) | −0.716710 | − | 4.52513i | −0.0272452 | − | 0.172020i | ||||
\(693\) | 5.09654 | − | 10.0025i | 0.193602 | − | 0.379965i | ||||
\(694\) | −8.79232 | − | 6.38799i | −0.333752 | − | 0.242485i | ||||
\(695\) | −34.0936 | − | 26.5412i | −1.29324 | − | 1.00676i | ||||
\(696\) | 2.55939 | − | 7.87700i | 0.0970135 | − | 0.298577i | ||||
\(697\) | −1.91717 | + | 12.1045i | −0.0726180 | + | 0.458492i | ||||
\(698\) | −2.69087 | + | 16.9895i | −0.101851 | + | 0.643062i | ||||
\(699\) | 5.54953 | − | 17.0797i | 0.209903 | − | 0.646014i | ||||
\(700\) | 4.17008 | + | 9.72957i | 0.157614 | + | 0.367743i | ||||
\(701\) | −40.0420 | − | 29.0922i | −1.51236 | − | 1.09880i | −0.965115 | − | 0.261826i | \(-0.915675\pi\) |
−0.547249 | − | 0.836970i | \(-0.684325\pi\) | |||||||
\(702\) | −0.457069 | + | 0.897048i | −0.0172509 | + | 0.0338569i | ||||
\(703\) | −0.219432 | − | 1.38544i | −0.00827603 | − | 0.0522528i | ||||
\(704\) | 1.63858 | − | 5.04303i | 0.0617563 | − | 0.190066i | ||||
\(705\) | 0.319015 | − | 9.61630i | 0.0120148 | − | 0.362171i | ||||
\(706\) | 23.8115 | − | 7.73683i | 0.896159 | − | 0.291180i | ||||
\(707\) | 2.72194 | + | 2.72194i | 0.102369 | + | 0.102369i | ||||
\(708\) | −0.224651 | − | 0.224651i | −0.00844291 | − | 0.00844291i | ||||
\(709\) | −4.78008 | − | 14.7116i | −0.179520 | − | 0.552505i | 0.820291 | − | 0.571946i | \(-0.193811\pi\) |
−0.999811 | + | 0.0194413i | \(0.993811\pi\) | |||||||
\(710\) | 1.26412 | + | 10.1490i | 0.0474416 | + | 0.380887i | ||||
\(711\) | −0.933789 | + | 1.28525i | −0.0350198 | + | 0.0482007i | ||||
\(712\) | 6.79798 | − | 6.79798i | 0.254765 | − | 0.254765i | ||||
\(713\) | −24.3749 | − | 33.3503i | −0.912849 | − | 1.24898i | ||||
\(714\) | − | 7.05677i | − | 0.264093i | ||||||
\(715\) | −5.06377 | − | 10.8100i | −0.189374 | − | 0.404272i | ||||
\(716\) | 7.75783 | + | 10.6777i | 0.289924 | + | 0.399046i | ||||
\(717\) | 11.9829 | − | 23.5178i | 0.447511 | − | 0.878289i | ||||
\(718\) | 15.5135 | − | 15.5135i | 0.578958 | − | 0.578958i | ||||
\(719\) | −51.9804 | −1.93854 | −0.969271 | − | 0.245997i | \(-0.920885\pi\) | ||||
−0.969271 | + | 0.245997i | \(0.920885\pi\) | |||||||
\(720\) | −1.25363 | − | 1.85160i | −0.0467199 | − | 0.0690051i | ||||
\(721\) | 9.42663 | − | 29.0122i | 0.351066 | − | 1.08047i | ||||
\(722\) | 16.1682 | − | 8.23813i | 0.601720 | − | 0.306591i | ||||
\(723\) | −4.81966 | + | 0.763360i | −0.179245 | + | 0.0283897i | ||||
\(724\) | −0.664701 | − | 2.04574i | −0.0247034 | − | 0.0760293i | ||||
\(725\) | 41.3208 | + | 2.74460i | 1.53462 | + | 0.101932i | ||||
\(726\) | −10.0612 | − | 13.8480i | −0.373406 | − | 0.513949i | ||||
\(727\) | −35.4209 | + | 18.0478i | −1.31369 | + | 0.669358i | −0.963597 | − | 0.267358i | \(-0.913849\pi\) |
−0.350091 | + | 0.936716i | \(0.613849\pi\) | |||||||
\(728\) | 2.10522 | + | 0.333435i | 0.0780248 | + | 0.0123579i | ||||
\(729\) | 0.587785 | + | 0.809017i | 0.0217698 | + | 0.0299636i | ||||
\(730\) | 0.444412 | − | 13.3962i | 0.0164484 | − | 0.495817i | ||||
\(731\) | −0.506444 | + | 0.367953i | −0.0187315 | + | 0.0136092i | ||||
\(732\) | −0.0967580 | − | 0.610906i | −0.00357628 | − | 0.0225797i | ||||
\(733\) | 26.5898 | + | 13.5482i | 0.982117 | + | 0.500414i | 0.869878 | − | 0.493267i | \(-0.164198\pi\) |
0.112240 | + | 0.993681i | \(0.464198\pi\) | |||||||
\(734\) | −2.97164 | − | 2.15902i | −0.109685 | − | 0.0796909i | ||||
\(735\) | 4.11086 | − | 3.84687i | 0.151631 | − | 0.141894i | ||||
\(736\) | 7.05607 | + | 2.29266i | 0.260090 | + | 0.0845085i | ||||
\(737\) | 47.2234 | + | 24.0615i | 1.73950 | + | 0.886318i | ||||
\(738\) | −2.59987 | + | 2.59987i | −0.0957025 | + | 0.0957025i | ||||
\(739\) | −42.8168 | −1.57504 | −0.787520 | − | 0.616288i | \(-0.788636\pi\) | ||||
−0.787520 | + | 0.616288i | \(0.788636\pi\) | |||||||
\(740\) | 3.33293 | + | 0.641825i | 0.122521 | + | 0.0235939i | ||||
\(741\) | −0.752682 | + | 0.546855i | −0.0276504 | + | 0.0200892i | ||||
\(742\) | 0.649810 | − | 0.102920i | 0.0238553 | − | 0.00377831i | ||||
\(743\) | 8.39127 | + | 8.39127i | 0.307846 | + | 0.307846i | 0.844073 | − | 0.536228i | \(-0.180151\pi\) |
−0.536228 | + | 0.844073i | \(0.680151\pi\) | |||||||
\(744\) | −4.95374 | + | 2.54175i | −0.181613 | + | 0.0931849i | ||||
\(745\) | −33.8455 | + | 9.76896i | −1.24000 | + | 0.357907i | ||||
\(746\) | 12.4363 | + | 9.03553i | 0.455327 | + | 0.330814i | ||||
\(747\) | −2.47154 | + | 15.6047i | −0.0904288 | + | 0.570945i | ||||
\(748\) | −15.7481 | − | 8.02406i | −0.575808 | − | 0.293389i | ||||
\(749\) | 1.57949i | 0.0577133i | ||||||||
\(750\) | 7.43753 | − | 8.34765i | 0.271580 | − | 0.304813i | ||||
\(751\) | −11.1069 | − | 34.1837i | −0.405298 | − | 1.24738i | −0.920646 | − | 0.390399i | \(-0.872337\pi\) |
0.515348 | − | 0.856981i | \(-0.327663\pi\) | |||||||
\(752\) | 3.83392 | − | 1.95348i | 0.139809 | − | 0.0712360i | ||||
\(753\) | −5.30745 | − | 10.4165i | −0.193414 | − | 0.379597i | ||||
\(754\) | 4.90126 | − | 6.74601i | 0.178493 | − | 0.245675i | ||||
\(755\) | 30.2229 | + | 44.6391i | 1.09992 | + | 1.62458i | ||||
\(756\) | 1.24441 | − | 1.71278i | 0.0452586 | − | 0.0622932i | ||||
\(757\) | −6.33905 | + | 40.0232i | −0.230397 | + | 1.45467i | 0.553018 | + | 0.833169i | \(0.313476\pi\) |
−0.783415 | + | 0.621499i | \(0.786524\pi\) | |||||||
\(758\) | −11.5657 | − | 22.6990i | −0.420087 | − | 0.824466i | ||||
\(759\) | 31.8273 | − | 23.1239i | 1.15526 | − | 0.839344i | ||||
\(760\) | −0.255402 | − | 2.05051i | −0.00926440 | − | 0.0743797i | ||||
\(761\) | −1.27964 | − | 0.415781i | −0.0463870 | − | 0.0150721i | 0.285732 | − | 0.958310i | \(-0.407763\pi\) |
−0.332119 | + | 0.943238i | \(0.607763\pi\) | |||||||
\(762\) | 6.91921 | + | 1.09589i | 0.250656 | + | 0.0397001i | ||||
\(763\) | 18.1989 | − | 2.88242i | 0.658843 | − | 0.104351i | ||||
\(764\) | −10.1092 | + | 3.28468i | −0.365738 | + | 0.118836i | ||||
\(765\) | −6.74945 | + | 3.16167i | −0.244027 | + | 0.114310i | ||||
\(766\) | 30.4459 | + | 9.89247i | 1.10005 | + | 0.357429i | ||||
\(767\) | −0.145213 | − | 0.284996i | −0.00524334 | − | 0.0102906i | ||||
\(768\) | 0.453990 | − | 0.891007i | 0.0163820 | − | 0.0321514i | ||||
\(769\) | 35.4125i | 1.27701i | 0.769619 | + | 0.638503i | \(0.220446\pi\) | ||||
−0.769619 | + | 0.638503i | \(0.779554\pi\) | |||||||
\(770\) | 6.96122 | + | 24.1178i | 0.250865 | + | 0.869145i | ||||
\(771\) | −25.7363 | + | 8.36224i | −0.926871 | + | 0.301159i | ||||
\(772\) | −4.52155 | − | 0.716144i | −0.162734 | − | 0.0257746i | ||||
\(773\) | 1.08033 | + | 6.82095i | 0.0388568 | + | 0.245332i | 0.999470 | − | 0.0325571i | \(-0.0103651\pi\) |
−0.960613 | + | 0.277890i | \(0.910365\pi\) | |||||||
\(774\) | −0.187807 | −0.00675058 | ||||||||
\(775\) | −18.3963 | − | 20.8944i | −0.660815 | − | 0.750548i | ||||
\(776\) | 8.81121 | 0.316304 | ||||||||
\(777\) | 0.502718 | + | 3.17404i | 0.0180349 | + | 0.113868i | ||||
\(778\) | −1.20405 | − | 0.190703i | −0.0431674 | − | 0.00683705i | ||||
\(779\) | −3.23141 | + | 1.04995i | −0.115777 | + | 0.0376183i | ||||
\(780\) | −0.624297 | − | 2.16293i | −0.0223534 | − | 0.0774455i | ||||
\(781\) | 24.2532i | 0.867846i | ||||||||
\(782\) | 11.2270 | − | 22.0343i | 0.401478 | − | 0.787946i | ||||
\(783\) | −3.76012 | − | 7.37964i | −0.134376 | − | 0.263727i | ||||
\(784\) | 2.39461 | + | 0.778055i | 0.0855217 | + | 0.0277877i | ||||
\(785\) | 16.6511 | − | 7.79994i | 0.594305 | − | 0.278392i | ||||
\(786\) | −6.81910 | + | 2.21566i | −0.243229 | + | 0.0790299i | ||||
\(787\) | 15.5038 | − | 2.45557i | 0.552652 | − | 0.0875316i | 0.126139 | − | 0.992013i | \(-0.459742\pi\) |
0.426514 | + | 0.904481i | \(0.359742\pi\) | |||||||
\(788\) | −22.1389 | − | 3.50646i | −0.788666 | − | 0.124912i | ||||
\(789\) | −30.2861 | − | 9.84055i | −1.07821 | − | 0.350333i | ||||
\(790\) | −0.439072 | − | 3.52511i | −0.0156215 | − | 0.125418i | ||||
\(791\) | −20.1997 | + | 14.6759i | −0.718219 | + | 0.521816i | ||||
\(792\) | −2.40731 | − | 4.72461i | −0.0855401 | − | 0.167882i | ||||
\(793\) | 0.0974140 | − | 0.615048i | 0.00345927 | − | 0.0218410i | ||||
\(794\) | 6.81827 | − | 9.38454i | 0.241971 | − | 0.333045i | ||||
\(795\) | −0.389575 | − | 0.575400i | −0.0138168 | − | 0.0204074i | ||||
\(796\) | −12.9119 | + | 17.7718i | −0.457652 | + | 0.629903i | ||||
\(797\) | −23.4863 | − | 46.0944i | −0.831926 | − | 1.63275i | −0.772933 | − | 0.634488i | \(-0.781211\pi\) |
−0.0589931 | − | 0.998258i | \(-0.518789\pi\) | |||||||
\(798\) | 1.74319 | − | 0.888197i | 0.0617081 | − | 0.0314418i | ||||
\(799\) | −4.43207 | − | 13.6405i | −0.156795 | − | 0.482566i | ||||
\(800\) | 4.87574 | + | 1.10775i | 0.172384 | + | 0.0391649i | ||||
\(801\) | − | 9.61380i | − | 0.339687i | ||||||
\(802\) | −19.0213 | − | 9.69182i | −0.671664 | − | 0.342230i | ||||
\(803\) | 4.97227 | − | 31.3937i | 0.175467 | − | 1.10786i | ||||
\(804\) | 8.08628 | + | 5.87503i | 0.285181 | + | 0.207196i | ||||
\(805\) | −33.7450 | + | 9.73995i | −1.18935 | + | 0.343288i | ||||
\(806\) | −5.53400 | + | 0.892566i | −0.194927 | + | 0.0314393i | ||||
\(807\) | −7.27211 | − | 7.27211i | −0.255991 | − | 0.255991i | ||||
\(808\) | 1.79585 | − | 0.284434i | 0.0631777 | − | 0.0100064i | ||||
\(809\) | −41.6750 | + | 30.2786i | −1.46521 | + | 1.06454i | −0.483248 | + | 0.875483i | \(0.660543\pi\) |
−0.981966 | + | 0.189057i | \(0.939457\pi\) | |||||||
\(810\) | −2.19573 | − | 0.422832i | −0.0771499 | − | 0.0148568i | ||||
\(811\) | 43.3179 | 1.52110 | 0.760549 | − | 0.649281i | \(-0.224930\pi\) | ||||
0.760549 | + | 0.649281i | \(0.224930\pi\) | |||||||
\(812\) | −12.3989 | + | 12.3989i | −0.435116 | + | 0.435116i | ||||
\(813\) | 14.6234 | + | 7.45101i | 0.512866 | + | 0.261318i | ||||
\(814\) | 7.65491 | + | 2.48723i | 0.268304 | + | 0.0871774i | ||||
\(815\) | −17.2110 | + | 16.1057i | −0.602873 | + | 0.564158i | ||||
\(816\) | −2.69662 | − | 1.95921i | −0.0944006 | − | 0.0685860i | ||||
\(817\) | −0.154636 | − | 0.0787911i | −0.00541004 | − | 0.00275655i | ||||
\(818\) | −0.230454 | − | 1.45503i | −0.00805765 | − | 0.0508740i | ||||
\(819\) | 1.72439 | − | 1.25284i | 0.0602551 | − | 0.0437779i | ||||
\(820\) | 0.272593 | − | 8.21699i | 0.00951938 | − | 0.286950i | ||||
\(821\) | 9.51848 | + | 13.1011i | 0.332197 | + | 0.457230i | 0.942142 | − | 0.335214i | \(-0.108808\pi\) |
−0.609945 | + | 0.792444i | \(0.708808\pi\) | |||||||
\(822\) | −2.35773 | − | 0.373427i | −0.0822352 | − | 0.0130248i | ||||
\(823\) | 26.8669 | − | 13.6893i | 0.936520 | − | 0.477181i | 0.0820190 | − | 0.996631i | \(-0.473863\pi\) |
0.854501 | + | 0.519450i | \(0.173863\pi\) | |||||||
\(824\) | −8.46933 | − | 11.6570i | −0.295043 | − | 0.406092i | ||||
\(825\) | 19.9487 | − | 17.4637i | 0.694523 | − | 0.608006i | ||||
\(826\) | 0.207850 | + | 0.639696i | 0.00723203 | + | 0.0222579i | ||||
\(827\) | −5.32444 | + | 0.843309i | −0.185149 | + | 0.0293247i | −0.248320 | − | 0.968678i | \(-0.579879\pi\) |
0.0631713 | + | 0.998003i | \(0.479879\pi\) | |||||||
\(828\) | 6.61055 | − | 3.36824i | 0.229733 | − | 0.117055i | ||||
\(829\) | 10.9115 | − | 33.5822i | 0.378972 | − | 1.16636i | −0.561787 | − | 0.827282i | \(-0.689886\pi\) |
0.940759 | − | 0.339075i | \(-0.110114\pi\) | |||||||
\(830\) | −19.8062 | − | 29.2538i | −0.687485 | − | 1.01541i | ||||
\(831\) | −21.4782 | −0.745072 | ||||||||
\(832\) | 0.711901 | − | 0.711901i | 0.0246807 | − | 0.0246807i | ||||
\(833\) | 3.81010 | − | 7.47775i | 0.132012 | − | 0.259089i | ||||
\(834\) | −11.3575 | − | 15.6323i | −0.393278 | − | 0.541301i | ||||
\(835\) | 16.7159 | + | 35.6846i | 0.578476 | + | 1.23492i | ||||
\(836\) | − | 4.90009i | − | 0.169473i | ||||||
\(837\) | −1.70554 | + | 5.30011i | −0.0589520 | + | 0.183199i | ||||
\(838\) | 25.2086 | − | 25.2086i | 0.870817 | − | 0.870817i | ||||
\(839\) | 21.9862 | − | 30.2613i | 0.759046 | − | 1.04474i | −0.238247 | − | 0.971205i | \(-0.576573\pi\) |
0.997293 | − | 0.0735329i | \(-0.0234274\pi\) | |||||||
\(840\) | 0.585125 | + | 4.69770i | 0.0201887 | + | 0.162086i | ||||
\(841\) | 12.2363 | + | 37.6595i | 0.421942 | + | 1.29860i | ||||
\(842\) | 19.4948 | + | 19.4948i | 0.671834 | + | 0.671834i | ||||
\(843\) | 14.9070 | + | 14.9070i | 0.513425 | + | 0.513425i | ||||
\(844\) | −13.6415 | + | 4.43238i | −0.469558 | + | 0.152569i | ||||
\(845\) | −0.888664 | + | 26.7877i | −0.0305710 | + | 0.921523i | ||||
\(846\) | 1.32967 | − | 4.09231i | 0.0457150 | − | 0.140696i | ||||
\(847\) | 5.66900 | + | 35.7927i | 0.194789 | + | 1.22985i | ||||
\(848\) | 0.141081 | − | 0.276888i | 0.00484475 | − | 0.00950837i | ||||
\(849\) | −2.86173 | − | 2.07917i | −0.0982144 | − | 0.0713570i | ||||
\(850\) | 6.18925 | − | 15.4742i | 0.212290 | − | 0.530759i | ||||
\(851\) | −3.48006 | + | 10.7105i | −0.119295 | + | 0.367152i | ||||
\(852\) | −0.715509 | + | 4.51755i | −0.0245129 | + | 0.154769i | ||||
\(853\) | 2.94970 | − | 18.6237i | 0.100996 | − | 0.637663i | −0.884315 | − | 0.466891i | \(-0.845374\pi\) |
0.985311 | − | 0.170772i | \(-0.0546261\pi\) | |||||||
\(854\) | −0.404651 | + | 1.24539i | −0.0138469 | + | 0.0426163i | ||||
\(855\) | −1.63052 | − | 1.26933i | −0.0557627 | − | 0.0434102i | ||||
\(856\) | 0.603574 | + | 0.438522i | 0.0206297 | + | 0.0149884i | ||||
\(857\) | −7.09168 | + | 13.9182i | −0.242247 | + | 0.475437i | −0.979833 | − | 0.199816i | \(-0.935966\pi\) |
0.737586 | + | 0.675253i | \(0.235966\pi\) | |||||||
\(858\) | −0.835127 | − | 5.27278i | −0.0285108 | − | 0.180010i | ||||
\(859\) | 3.06424 | − | 9.43077i | 0.104551 | − | 0.321774i | −0.885074 | − | 0.465450i | \(-0.845892\pi\) |
0.989625 | + | 0.143676i | \(0.0458925\pi\) | |||||||
\(860\) | 0.306631 | − | 0.286940i | 0.0104560 | − | 0.00978457i | ||||
\(861\) | 7.40315 | − | 2.40543i | 0.252299 | − | 0.0819768i | ||||
\(862\) | 16.3263 | + | 16.3263i | 0.556076 | + | 0.556076i | ||||
\(863\) | −13.7869 | − | 13.7869i | −0.469310 | − | 0.469310i | 0.432381 | − | 0.901691i | \(-0.357674\pi\) |
−0.901691 | + | 0.432381i | \(0.857674\pi\) | |||||||
\(864\) | −0.309017 | − | 0.951057i | −0.0105130 | − | 0.0323556i | ||||
\(865\) | 10.1661 | − | 1.26624i | 0.345657 | − | 0.0430535i | ||||
\(866\) | 1.31648 | − | 1.81199i | 0.0447360 | − | 0.0615738i | ||||
\(867\) | 4.16468 | − | 4.16468i | 0.141440 | − | 0.141440i | ||||
\(868\) | 11.7875 | − | 0.0333695i | 0.400095 | − | 0.00113264i | ||||
\(869\) | − | 8.42395i | − | 0.285763i | ||||||
\(870\) | 17.4141 | + | 6.30382i | 0.590392 | + | 0.213720i | ||||
\(871\) | 5.91486 | + | 8.14111i | 0.200418 | + | 0.275851i | ||||
\(872\) | 3.95119 | − | 7.75464i | 0.133804 | − | 0.262605i | ||||
\(873\) | 6.23047 | − | 6.23047i | 0.210869 | − | 0.210869i | ||||
\(874\) | 6.85608 | 0.231910 | ||||||||
\(875\) | −22.0532 | + | 8.59810i | −0.745533 | + | 0.290669i | ||||
\(876\) | 1.85233 | − | 5.70089i | 0.0625845 | − | 0.192615i | ||||
\(877\) | −2.88387 | + | 1.46941i | −0.0973815 | + | 0.0496183i | −0.502003 | − | 0.864866i | \(-0.667403\pi\) |
0.404621 | + | 0.914484i | \(0.367403\pi\) | |||||||
\(878\) | −16.7112 | + | 2.64680i | −0.563976 | + | 0.0893250i | ||||
\(879\) | 0.0578202 | + | 0.177952i | 0.00195023 | + | 0.00600218i | ||||
\(880\) | 11.1489 | + | 4.03585i | 0.375829 | + | 0.136048i | ||||
\(881\) | −10.1736 | − | 14.0028i | −0.342758 | − | 0.471766i | 0.602487 | − | 0.798129i | \(-0.294177\pi\) |
−0.945244 | + | 0.326363i | \(0.894177\pi\) | |||||||
\(882\) | 2.24341 | − | 1.14308i | 0.0755396 | − | 0.0384894i | ||||
\(883\) | −38.9040 | − | 6.16178i | −1.30922 | − | 0.207360i | −0.537470 | − | 0.843283i | \(-0.680620\pi\) |
−0.771753 | + | 0.635923i | \(0.780620\pi\) | |||||||
\(884\) | −1.97249 | − | 2.71490i | −0.0663421 | − | 0.0913121i | ||||
\(885\) | 0.518715 | − | 0.485404i | 0.0174364 | − | 0.0163167i | ||||
\(886\) | 15.3310 | − | 11.1386i | 0.515054 | − | 0.374209i | ||||
\(887\) | −8.78491 | − | 55.4657i | −0.294968 | − | 1.86236i | −0.476778 | − | 0.879024i | \(-0.658196\pi\) |
0.181810 | − | 0.983334i | \(-0.441804\pi\) | |||||||
\(888\) | 1.35247 | + | 0.689120i | 0.0453861 | + | 0.0231254i | ||||
\(889\) | −11.9988 | − | 8.71764i | −0.402427 | − | 0.292380i | ||||
\(890\) | 14.6884 | + | 15.6964i | 0.492356 | + | 0.526144i | ||||
\(891\) | −5.04303 | − | 1.63858i | −0.168948 | − | 0.0548945i | ||||
\(892\) | −23.1790 | − | 11.8103i | −0.776090 | − | 0.395437i | ||||
\(893\) | 2.81168 | − | 2.81168i | 0.0940893 | − | 0.0940893i | ||||
\(894\) | −15.7540 | −0.526894 | ||||||||
\(895\) | −24.4382 | + | 16.5459i | −0.816878 | + | 0.553067i | ||||
\(896\) | −1.71278 | + | 1.24441i | −0.0572199 | + | 0.0415727i | ||||
\(897\) | 7.37754 | − | 1.16849i | 0.246329 | − | 0.0390146i | ||||
\(898\) | 13.5139 | + | 13.5139i | 0.450965 | + | 0.450965i | ||||
\(899\) | 20.8190 | − | 41.1472i | 0.694354 | − | 1.37234i | ||||
\(900\) | 4.23097 | − | 2.66437i | 0.141032 | − | 0.0888124i | ||||
\(901\) | −0.837997 | − | 0.608841i | −0.0279177 | − | 0.0202834i | ||||
\(902\) | 3.04989 | − | 19.2563i | 0.101550 | − | 0.641163i | ||||
\(903\) | 0.354271 | + | 0.180510i | 0.0117894 | + | 0.00600701i | ||||
\(904\) | 11.7935i | 0.392247i | ||||||||
\(905\) | 4.62118 | − | 1.33383i | 0.153613 | − | 0.0443380i | ||||
\(906\) | 7.44990 | + | 22.9284i | 0.247506 | + | 0.761746i | ||||
\(907\) | −12.2463 | + | 6.23978i | −0.406630 | + | 0.207189i | −0.645328 | − | 0.763905i | \(-0.723279\pi\) |
0.238698 | + | 0.971094i | \(0.423279\pi\) | |||||||
\(908\) | 2.36801 | + | 4.64747i | 0.0785850 | + | 0.154232i | ||||
\(909\) | 1.06873 | − | 1.47098i | 0.0354476 | − | 0.0487894i | ||||
\(910\) | −0.901253 | + | 4.68011i | −0.0298762 | + | 0.155144i | ||||
\(911\) | −10.2343 | + | 14.0864i | −0.339079 | + | 0.466702i | −0.944172 | − | 0.329453i | \(-0.893136\pi\) |
0.605093 | + | 0.796155i | \(0.293136\pi\) | |||||||
\(912\) | 0.144561 | − | 0.912723i | 0.00478690 | − | 0.0302233i | ||||
\(913\) | −38.0335 | − | 74.6450i | −1.25873 | − | 2.47039i | ||||
\(914\) | −8.21863 | + | 5.97119i | −0.271848 | + | 0.197509i | ||||
\(915\) | 1.37245 | − | 0.170946i | 0.0453718 | − | 0.00565131i | ||||
\(916\) | 18.5506 | + | 6.02746i | 0.612930 | + | 0.199153i | ||||
\(917\) | 14.9928 | + | 2.37463i | 0.495107 | + | 0.0784173i | ||||
\(918\) | −3.29217 | + | 0.521428i | −0.108658 | + | 0.0172097i | ||||
\(919\) | 8.61475 | − | 2.79910i | 0.284174 | − | 0.0923339i | −0.163462 | − | 0.986550i | \(-0.552266\pi\) |
0.447636 | + | 0.894216i | \(0.352266\pi\) | |||||||
\(920\) | −5.64685 | + | 15.5992i | −0.186171 | + | 0.514291i | ||||
\(921\) | 6.51383 | + | 2.11647i | 0.214638 | + | 0.0697401i | ||||
\(922\) | 8.44391 | + | 16.5721i | 0.278085 | + | 0.545773i | ||||
\(923\) | −2.09057 | + | 4.10297i | −0.0688119 | + | 0.135051i | ||||
\(924\) | 11.2261i | 0.369312i | ||||||||
\(925\) | −1.68148 | + | 7.40098i | −0.0552866 | + | 0.243343i | ||||
\(926\) | 35.6122 | − | 11.5711i | 1.17029 | − | 0.380250i | ||||
\(927\) | −14.2315 | − | 2.25405i | −0.467423 | − | 0.0740326i | ||||
\(928\) | 1.29565 | + | 8.18040i | 0.0425317 | + | 0.268535i | ||||
\(929\) | 51.0013 | 1.67330 | 0.836650 | − | 0.547738i | \(-0.184511\pi\) | ||||
0.836650 | + | 0.547738i | \(0.184511\pi\) | |||||||
\(930\) | −5.31312 | − | 11.2592i | −0.174224 | − | 0.369205i | ||||
\(931\) | 2.32674 | 0.0762557 | ||||||||
\(932\) | 2.80936 | + | 17.7376i | 0.0920235 | + | 0.581013i | ||||
\(933\) | −14.8289 | − | 2.34867i | −0.485477 | − | 0.0768919i | ||||
\(934\) | 16.1292 | − | 5.24069i | 0.527763 | − | 0.171481i | ||||
\(935\) | 19.1000 | − | 34.5996i | 0.624638 | − | 1.13153i | ||||
\(936\) | − | 1.00678i | − | 0.0329076i | ||||||
\(937\) | 15.1209 | − | 29.6765i | 0.493980 | − | 0.969490i | −0.500616 | − | 0.865669i | \(-0.666893\pi\) |
0.994596 | − | 0.103821i | \(-0.0331068\pi\) | |||||||
\(938\) | −9.60687 | − | 18.8545i | −0.313675 | − | 0.615623i | ||||
\(939\) | −7.49683 | − | 2.43587i | −0.244650 | − | 0.0794915i | ||||
\(940\) | 4.08146 | + | 8.71301i | 0.133123 | + | 0.284187i | ||||
\(941\) | −25.7288 | + | 8.35978i | −0.838734 | + | 0.272521i | −0.696720 | − | 0.717343i | \(-0.745358\pi\) |
−0.142014 | + | 0.989865i | \(0.545358\pi\) | |||||||
\(942\) | 8.12189 | − | 1.28638i | 0.264625 | − | 0.0419126i | ||||
\(943\) | 26.9428 | + | 4.26733i | 0.877379 | + | 0.138963i | ||||
\(944\) | 0.302155 | + | 0.0981762i | 0.00983432 | + | 0.00319536i | ||||
\(945\) | 3.73552 | + | 2.90803i | 0.121517 | + | 0.0945983i | ||||
\(946\) | 0.805665 | − | 0.585350i | 0.0261944 | − | 0.0190314i | ||||
\(947\) | 21.8359 | + | 42.8554i | 0.709572 | + | 1.39261i | 0.910708 | + | 0.413050i | \(0.135537\pi\) |
−0.201136 | + | 0.979563i | \(0.564463\pi\) | |||||||
\(948\) | 0.248521 | − | 1.56910i | 0.00807158 | − | 0.0509620i | ||||
\(949\) | 3.54723 | − | 4.88235i | 0.115148 | − | 0.158488i | ||||
\(950\) | 4.60148 | − | 0.418759i | 0.149292 | − | 0.0135863i | ||||
\(951\) | −10.2068 | + | 14.0484i | −0.330978 | + | 0.455552i | ||||
\(952\) | 3.20370 | + | 6.28762i | 0.103833 | + | 0.203783i | ||||
\(953\) | −9.79933 | + | 4.99301i | −0.317431 | + | 0.161739i | −0.605445 | − | 0.795887i | \(-0.707005\pi\) |
0.288014 | + | 0.957626i | \(0.407005\pi\) | |||||||
\(954\) | −0.0960296 | − | 0.295549i | −0.00310907 | − | 0.00956875i | ||||
\(955\) | −6.59124 | − | 22.8360i | −0.213288 | − | 0.738955i | ||||
\(956\) | 26.3947i | 0.853665i | ||||||||
\(957\) | 39.1310 | + | 19.9382i | 1.26492 | + | 0.644511i | ||||
\(958\) | −2.59728 | + | 16.3986i | −0.0839142 | + | 0.529814i | ||||
\(959\) | 4.08860 | + | 2.97055i | 0.132028 | + | 0.0959239i | ||||
\(960\) | 1.95760 | + | 1.08065i | 0.0631812 | + | 0.0348780i | ||||
\(961\) | −29.4280 | + | 9.74630i | −0.949292 | + | 0.314397i | ||||
\(962\) | 1.08061 | + | 1.08061i | 0.0348402 | + | 0.0348402i | ||||
\(963\) | 0.736874 | − | 0.116709i | 0.0237454 | − | 0.00376091i | ||||
\(964\) | 3.94779 | − | 2.86824i | 0.127150 | − | 0.0923798i | ||||
\(965\) | 1.93569 | − | 10.0518i | 0.0623121 | − | 0.323580i | ||||
\(966\) | −15.7073 | −0.505373 | ||||||||
\(967\) | −2.27376 | + | 2.27376i | −0.0731193 | + | 0.0731193i | −0.742721 | − | 0.669601i | \(-0.766465\pi\) |
0.669601 | + | 0.742721i | \(0.266465\pi\) | |||||||
\(968\) | 15.2515 | + | 7.77101i | 0.490201 | + | 0.249770i | ||||
\(969\) | −2.92946 | − | 0.951839i | −0.0941078 | − | 0.0305775i | ||||
\(970\) | −0.653257 | + | 19.6916i | −0.0209748 | + | 0.632260i | ||||
\(971\) | 19.1747 | + | 13.9313i | 0.615346 | + | 0.447075i | 0.851293 | − | 0.524691i | \(-0.175819\pi\) |
−0.235946 | + | 0.971766i | \(0.575819\pi\) | |||||||
\(972\) | −0.891007 | − | 0.453990i | −0.0285790 | − | 0.0145618i | ||||
\(973\) | 6.39942 | + | 40.4043i | 0.205156 | + | 1.29530i | ||||
\(974\) | 14.3388 | − | 10.4177i | 0.459444 | − | 0.333806i | ||||
\(975\) | 4.88009 | − | 1.23484i | 0.156288 | − | 0.0395467i | ||||
\(976\) | 0.363557 | + | 0.500394i | 0.0116372 | + | 0.0160172i | ||||
\(977\) | −57.8212 | − | 9.15798i | −1.84986 | − | 0.292990i | −0.870060 | − | 0.492946i | \(-0.835920\pi\) |
−0.979805 | + | 0.199956i | \(0.935920\pi\) | |||||||
\(978\) | −9.39250 | + | 4.78572i | −0.300339 | + | 0.153030i | ||||
\(979\) | 29.9640 | + | 41.2419i | 0.957652 | + | 1.31810i | ||||
\(980\) | −1.91636 | + | 5.29388i | −0.0612160 | + | 0.169107i | ||||
\(981\) | −2.68945 | − | 8.27727i | −0.0858675 | − | 0.264273i | ||||
\(982\) | 26.1700 | − | 4.14492i | 0.835118 | − | 0.132270i | ||||
\(983\) | 12.8100 | − | 6.52705i | 0.408577 | − | 0.208180i | −0.237608 | − | 0.971361i | \(-0.576363\pi\) |
0.646185 | + | 0.763181i | \(0.276363\pi\) | |||||||
\(984\) | 1.13618 | − | 3.49682i | 0.0362202 | − | 0.111474i | ||||
\(985\) | 9.47773 | − | 49.2169i | 0.301986 | − | 1.56818i | ||||
\(986\) | 27.6068 | 0.879180 | ||||||||
\(987\) | −6.44155 | + | 6.44155i | −0.205037 | + | 0.205037i | ||||
\(988\) | 0.422377 | − | 0.828962i | 0.0134376 | − | 0.0263728i | ||||
\(989\) | 0.819006 | + | 1.12726i | 0.0260429 | + | 0.0358449i | ||||
\(990\) | 10.7372 | − | 5.02967i | 0.341251 | − | 0.159853i | ||||
\(991\) | − | 34.2166i | − | 1.08693i | −0.839433 | − | 0.543463i | \(-0.817113\pi\) | ||
0.839433 | − | 0.543463i | \(-0.182887\pi\) | |||||||
\(992\) | 3.25989 | − | 4.51366i | 0.103501 | − | 0.143309i | ||||
\(993\) | −8.68353 | + | 8.68353i | −0.275563 | + | 0.275563i | ||||
\(994\) | 5.69174 | − | 7.83401i | 0.180531 | − | 0.248480i | ||||
\(995\) | −38.7597 | − | 30.1737i | −1.22877 | − | 0.956570i | ||||
\(996\) | −4.88221 | − | 15.0259i | −0.154699 | − | 0.476114i | ||||
\(997\) | −22.2717 | − | 22.2717i | −0.705351 | − | 0.705351i | 0.260203 | − | 0.965554i | \(-0.416211\pi\) |
−0.965554 | + | 0.260203i | \(0.916211\pi\) | |||||||
\(998\) | −11.7638 | − | 11.7638i | −0.372376 | − | 0.372376i | ||||
\(999\) | 1.44363 | − | 0.469062i | 0.0456743 | − | 0.0148405i |
(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.bj.a.277.3 | ✓ | 128 | |
5.3 | odd | 4 | 930.2.bj.b.463.3 | yes | 128 | ||
31.15 | odd | 10 | 930.2.bj.b.697.3 | yes | 128 | ||
155.108 | even | 20 | inner | 930.2.bj.a.883.3 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bj.a.277.3 | ✓ | 128 | 1.1 | even | 1 | trivial | |
930.2.bj.a.883.3 | yes | 128 | 155.108 | even | 20 | inner | |
930.2.bj.b.463.3 | yes | 128 | 5.3 | odd | 4 | ||
930.2.bj.b.697.3 | yes | 128 | 31.15 | odd | 10 |