Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(377,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.377");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bf (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 893.44 | ||
Character | \(\chi\) | \(=\) | 930.893 |
Dual form | 930.2.bf.a.377.44 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | + | 0.707107i | 0.500000 | + | 0.500000i | ||||
\(3\) | −0.747225 | + | 1.56258i | −0.431411 | + | 0.902156i | ||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | −2.18104 | + | 0.493020i | −0.975390 | + | 0.220485i | ||||
\(6\) | −1.63328 | + | 0.576543i | −0.666783 | + | 0.235373i | ||||
\(7\) | −3.79793 | − | 1.01765i | −1.43548 | − | 0.384636i | −0.544532 | − | 0.838740i | \(-0.683293\pi\) |
−0.890949 | + | 0.454104i | \(0.849960\pi\) | |||||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | −1.88331 | − | 2.33520i | −0.627770 | − | 0.778399i | ||||
\(10\) | −1.89085 | − | 1.19361i | −0.597938 | − | 0.377453i | ||||
\(11\) | −0.225535 | − | 0.130213i | −0.0680013 | − | 0.0392606i | 0.465614 | − | 0.884988i | \(-0.345834\pi\) |
−0.533615 | + | 0.845727i | \(0.679167\pi\) | |||||||
\(12\) | −1.56258 | − | 0.747225i | −0.451078 | − | 0.215705i | ||||
\(13\) | 3.81277 | − | 1.02163i | 1.05747 | − | 0.283349i | 0.312135 | − | 0.950038i | \(-0.398956\pi\) |
0.745336 | + | 0.666689i | \(0.232289\pi\) | |||||||
\(14\) | −1.96595 | − | 3.40513i | −0.525423 | − | 0.910059i | ||||
\(15\) | 0.859344 | − | 3.77644i | 0.221882 | − | 0.975074i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −1.09590 | + | 4.08994i | −0.265794 | + | 0.991957i | 0.695969 | + | 0.718072i | \(0.254975\pi\) |
−0.961763 | + | 0.273885i | \(0.911691\pi\) | |||||||
\(18\) | 0.319533 | − | 2.98293i | 0.0753146 | − | 0.703084i | ||||
\(19\) | 3.85397 | − | 2.22509i | 0.884160 | − | 0.510470i | 0.0121324 | − | 0.999926i | \(-0.496138\pi\) |
0.872028 | + | 0.489456i | \(0.162805\pi\) | |||||||
\(20\) | −0.493020 | − | 2.18104i | −0.110243 | − | 0.487695i | ||||
\(21\) | 4.42807 | − | 5.17415i | 0.966283 | − | 1.12909i | ||||
\(22\) | −0.0674030 | − | 0.251552i | −0.0143704 | − | 0.0536310i | ||||
\(23\) | 2.45373 | − | 2.45373i | 0.511637 | − | 0.511637i | −0.403391 | − | 0.915028i | \(-0.632168\pi\) |
0.915028 | + | 0.403391i | \(0.132168\pi\) | |||||||
\(24\) | −0.576543 | − | 1.63328i | −0.117686 | − | 0.333392i | ||||
\(25\) | 4.51386 | − | 2.15059i | 0.902772 | − | 0.430118i | ||||
\(26\) | 3.41843 | + | 1.97363i | 0.670410 | + | 0.387061i | ||||
\(27\) | 5.05619 | − | 1.19790i | 0.973064 | − | 0.230537i | ||||
\(28\) | 1.01765 | − | 3.79793i | 0.192318 | − | 0.717741i | ||||
\(29\) | −5.25460 | −0.975754 | −0.487877 | − | 0.872912i | \(-0.662229\pi\) | ||||
−0.487877 | + | 0.872912i | \(0.662229\pi\) | |||||||
\(30\) | 3.27800 | − | 2.06270i | 0.598478 | − | 0.376596i | ||||
\(31\) | −1.71838 | − | 5.29596i | −0.308631 | − | 0.951182i | ||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | 0.371993 | − | 0.255118i | 0.0647557 | − | 0.0444104i | ||||
\(34\) | −3.66694 | + | 2.11711i | −0.628875 | + | 0.363081i | ||||
\(35\) | 8.78515 | + | 0.347083i | 1.48496 | + | 0.0586678i | ||||
\(36\) | 2.33520 | − | 1.88331i | 0.389199 | − | 0.313885i | ||||
\(37\) | 0.196556 | + | 0.0526671i | 0.0323137 | + | 0.00865842i | 0.274940 | − | 0.961461i | \(-0.411342\pi\) |
−0.242626 | + | 0.970120i | \(0.578009\pi\) | |||||||
\(38\) | 4.29854 | + | 1.15179i | 0.697315 | + | 0.186845i | ||||
\(39\) | −1.25262 | + | 6.72114i | −0.200580 | + | 1.07624i | ||||
\(40\) | 1.19361 | − | 1.89085i | 0.188726 | − | 0.298969i | ||||
\(41\) | −9.80119 | − | 5.65872i | −1.53069 | − | 0.883744i | −0.999330 | − | 0.0365970i | \(-0.988348\pi\) |
−0.531359 | − | 0.847147i | \(-0.678318\pi\) | |||||||
\(42\) | 6.78979 | − | 0.527559i | 1.04769 | − | 0.0814041i | ||||
\(43\) | −0.797629 | + | 2.97679i | −0.121637 | + | 0.453957i | −0.999698 | − | 0.0245935i | \(-0.992171\pi\) |
0.878060 | + | 0.478550i | \(0.158838\pi\) | |||||||
\(44\) | 0.130213 | − | 0.225535i | 0.0196303 | − | 0.0340007i | ||||
\(45\) | 5.25887 | + | 4.16465i | 0.783946 | + | 0.620829i | ||||
\(46\) | 3.47009 | 0.511637 | ||||||||
\(47\) | −4.49966 | − | 4.49966i | −0.656342 | − | 0.656342i | 0.298170 | − | 0.954513i | \(-0.403624\pi\) |
−0.954513 | + | 0.298170i | \(0.903624\pi\) | |||||||
\(48\) | 0.747225 | − | 1.56258i | 0.107853 | − | 0.225539i | ||||
\(49\) | 7.32645 | + | 4.22993i | 1.04664 | + | 0.604276i | ||||
\(50\) | 4.71248 | + | 1.67108i | 0.666445 | + | 0.236327i | ||||
\(51\) | −5.57198 | − | 4.76853i | −0.780233 | − | 0.667728i | ||||
\(52\) | 1.02163 | + | 3.81277i | 0.141674 | + | 0.528736i | ||||
\(53\) | 1.20308 | + | 4.48997i | 0.165256 | + | 0.616744i | 0.998007 | + | 0.0630969i | \(0.0200977\pi\) |
−0.832751 | + | 0.553647i | \(0.813236\pi\) | |||||||
\(54\) | 4.42231 | + | 2.72822i | 0.601800 | + | 0.371263i | ||||
\(55\) | 0.556098 | + | 0.172806i | 0.0749842 | + | 0.0233011i | ||||
\(56\) | 3.40513 | − | 1.96595i | 0.455029 | − | 0.262711i | ||||
\(57\) | 0.597098 | + | 7.68477i | 0.0790875 | + | 1.01787i | ||||
\(58\) | −3.71556 | − | 3.71556i | −0.487877 | − | 0.487877i | ||||
\(59\) | −4.15001 | − | 7.18804i | −0.540286 | − | 0.935803i | −0.998887 | − | 0.0471605i | \(-0.984983\pi\) |
0.458601 | − | 0.888642i | \(-0.348351\pi\) | |||||||
\(60\) | 3.77644 | + | 0.859344i | 0.487537 | + | 0.110941i | ||||
\(61\) | 2.18907 | 0.280281 | 0.140141 | − | 0.990132i | \(-0.455245\pi\) | ||||
0.140141 | + | 0.990132i | \(0.455245\pi\) | |||||||
\(62\) | 2.52973 | − | 4.95989i | 0.321276 | − | 0.629906i | ||||
\(63\) | 4.77626 | + | 10.7855i | 0.601752 | + | 1.35884i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −7.81211 | + | 4.10798i | −0.968973 | + | 0.509532i | ||||
\(66\) | 0.443434 | + | 0.0826430i | 0.0545830 | + | 0.0101726i | ||||
\(67\) | −3.84020 | − | 14.3318i | −0.469155 | − | 1.75091i | −0.642732 | − | 0.766091i | \(-0.722199\pi\) |
0.173577 | − | 0.984820i | \(-0.444468\pi\) | |||||||
\(68\) | −4.08994 | − | 1.09590i | −0.495978 | − | 0.132897i | ||||
\(69\) | 2.00066 | + | 5.66763i | 0.240851 | + | 0.682302i | ||||
\(70\) | 5.96661 | + | 6.45746i | 0.713147 | + | 0.771814i | ||||
\(71\) | 1.34039 | + | 0.773872i | 0.159075 | + | 0.0918418i | 0.577424 | − | 0.816444i | \(-0.304058\pi\) |
−0.418350 | + | 0.908286i | \(0.637391\pi\) | |||||||
\(72\) | 2.98293 | + | 0.319533i | 0.351542 | + | 0.0376573i | ||||
\(73\) | −13.1503 | + | 3.52362i | −1.53913 | + | 0.412409i | −0.925985 | − | 0.377560i | \(-0.876763\pi\) |
−0.613146 | + | 0.789969i | \(0.710096\pi\) | |||||||
\(74\) | 0.101745 | + | 0.176228i | 0.0118276 | + | 0.0204860i | ||||
\(75\) | −0.0123994 | + | 8.66025i | −0.00143176 | + | 0.999999i | ||||
\(76\) | 2.22509 | + | 3.85397i | 0.255235 | + | 0.442080i | ||||
\(77\) | 0.724054 | + | 0.724054i | 0.0825136 | + | 0.0825136i | ||||
\(78\) | −5.63830 | + | 3.86683i | −0.638412 | + | 0.437832i | ||||
\(79\) | 5.52132 | − | 3.18774i | 0.621197 | − | 0.358648i | −0.156138 | − | 0.987735i | \(-0.549904\pi\) |
0.777335 | + | 0.629087i | \(0.216571\pi\) | |||||||
\(80\) | 2.18104 | − | 0.493020i | 0.243848 | − | 0.0551213i | ||||
\(81\) | −1.90629 | + | 8.79580i | −0.211810 | + | 0.977311i | ||||
\(82\) | −2.92917 | − | 10.9318i | −0.323473 | − | 1.20722i | ||||
\(83\) | 1.30341 | + | 4.86439i | 0.143068 | + | 0.533936i | 0.999834 | + | 0.0182307i | \(0.00580333\pi\) |
−0.856766 | + | 0.515705i | \(0.827530\pi\) | |||||||
\(84\) | 5.17415 | + | 4.42807i | 0.564546 | + | 0.483142i | ||||
\(85\) | 0.373770 | − | 9.46062i | 0.0405410 | − | 1.02615i | ||||
\(86\) | −2.66892 | + | 1.54090i | −0.287797 | + | 0.166160i | ||||
\(87\) | 3.92637 | − | 8.21072i | 0.420951 | − | 0.880282i | ||||
\(88\) | 0.251552 | − | 0.0674030i | 0.0268155 | − | 0.00718519i | ||||
\(89\) | −16.1989 | −1.71708 | −0.858541 | − | 0.512745i | \(-0.828629\pi\) | ||||
−0.858541 | + | 0.512745i | \(0.828629\pi\) | |||||||
\(90\) | 0.773734 | + | 6.66343i | 0.0815587 | + | 0.702387i | ||||
\(91\) | −15.5203 | −1.62697 | ||||||||
\(92\) | 2.45373 | + | 2.45373i | 0.255819 | + | 0.255819i | ||||
\(93\) | 9.55937 | + | 1.27216i | 0.991261 | + | 0.131917i | ||||
\(94\) | − | 6.36348i | − | 0.656342i | ||||||
\(95\) | −7.30864 | + | 6.75309i | −0.749850 | + | 0.692852i | ||||
\(96\) | 1.63328 | − | 0.576543i | 0.166696 | − | 0.0588431i | ||||
\(97\) | 1.09975 | − | 1.09975i | 0.111663 | − | 0.111663i | −0.649068 | − | 0.760731i | \(-0.724841\pi\) |
0.760731 | + | 0.649068i | \(0.224841\pi\) | |||||||
\(98\) | 2.18957 | + | 8.17160i | 0.221180 | + | 0.825456i | ||||
\(99\) | 0.120680 | + | 0.771899i | 0.0121288 | + | 0.0775788i | ||||
\(100\) | 2.15059 | + | 4.51386i | 0.215059 | + | 0.451386i | ||||
\(101\) | − | 13.7066i | − | 1.36386i | −0.731417 | − | 0.681930i | \(-0.761141\pi\) | ||
0.731417 | − | 0.681930i | \(-0.238859\pi\) | |||||||
\(102\) | −0.568122 | − | 7.31185i | −0.0562525 | − | 0.723981i | ||||
\(103\) | 13.8135 | − | 3.70130i | 1.36108 | − | 0.364700i | 0.496867 | − | 0.867827i | \(-0.334484\pi\) |
0.864213 | + | 0.503126i | \(0.167817\pi\) | |||||||
\(104\) | −1.97363 | + | 3.41843i | −0.193531 | + | 0.335205i | ||||
\(105\) | −7.10683 | + | 13.4681i | −0.693555 | + | 1.31436i | ||||
\(106\) | −2.32418 | + | 4.02559i | −0.225744 | + | 0.391000i | ||||
\(107\) | 0.255089 | − | 0.952005i | 0.0246604 | − | 0.0920338i | −0.952499 | − | 0.304542i | \(-0.901497\pi\) |
0.977159 | + | 0.212508i | \(0.0681632\pi\) | |||||||
\(108\) | 1.19790 | + | 5.05619i | 0.115268 | + | 0.486532i | ||||
\(109\) | − | 16.5426i | − | 1.58449i | −0.610202 | − | 0.792246i | \(-0.708912\pi\) | ||
0.610202 | − | 0.792246i | \(-0.291088\pi\) | |||||||
\(110\) | 0.271029 | + | 0.515413i | 0.0258416 | + | 0.0491427i | ||||
\(111\) | −0.229168 | + | 0.267781i | −0.0217517 | + | 0.0254166i | ||||
\(112\) | 3.79793 | + | 1.01765i | 0.358870 | + | 0.0961590i | ||||
\(113\) | 4.49168 | + | 16.7632i | 0.422542 | + | 1.57695i | 0.769234 | + | 0.638968i | \(0.220638\pi\) |
−0.346692 | + | 0.937979i | \(0.612695\pi\) | |||||||
\(114\) | −5.01174 | + | 5.85616i | −0.469392 | + | 0.548480i | ||||
\(115\) | −4.14194 | + | 6.56141i | −0.386238 | + | 0.611855i | ||||
\(116\) | − | 5.25460i | − | 0.487877i | ||||||
\(117\) | −9.56632 | − | 6.97952i | −0.884407 | − | 0.645257i | ||||
\(118\) | 2.14821 | − | 8.01721i | 0.197758 | − | 0.738044i | ||||
\(119\) | 8.32427 | − | 14.4181i | 0.763085 | − | 1.32170i | ||||
\(120\) | 2.06270 | + | 3.27800i | 0.188298 | + | 0.299239i | ||||
\(121\) | −5.46609 | − | 9.46754i | −0.496917 | − | 0.860686i | ||||
\(122\) | 1.54790 | + | 1.54790i | 0.140141 | + | 0.140141i | ||||
\(123\) | 16.1659 | − | 11.0868i | 1.45763 | − | 0.999664i | ||||
\(124\) | 5.29596 | − | 1.71838i | 0.475591 | − | 0.154315i | ||||
\(125\) | −8.78462 | + | 6.91595i | −0.785721 | + | 0.618581i | ||||
\(126\) | −4.24915 | + | 11.0038i | −0.378544 | + | 0.980296i | ||||
\(127\) | 3.78694 | + | 1.01471i | 0.336037 | + | 0.0900408i | 0.422892 | − | 0.906180i | \(-0.361015\pi\) |
−0.0868550 | + | 0.996221i | \(0.527682\pi\) | |||||||
\(128\) | 0.707107 | − | 0.707107i | 0.0625000 | − | 0.0625000i | ||||
\(129\) | −4.05547 | − | 3.47069i | −0.357064 | − | 0.305578i | ||||
\(130\) | −8.42878 | − | 2.61922i | −0.739253 | − | 0.229720i | ||||
\(131\) | 4.80305 | − | 2.77304i | 0.419644 | − | 0.242282i | −0.275281 | − | 0.961364i | \(-0.588771\pi\) |
0.694925 | + | 0.719082i | \(0.255438\pi\) | |||||||
\(132\) | 0.255118 | + | 0.371993i | 0.0222052 | + | 0.0323778i | ||||
\(133\) | −16.9014 | + | 4.52873i | −1.46554 | + | 0.392690i | ||||
\(134\) | 7.41870 | − | 12.8496i | 0.640878 | − | 1.11003i | ||||
\(135\) | −10.4372 | + | 5.10548i | −0.898287 | + | 0.439409i | ||||
\(136\) | −2.11711 | − | 3.66694i | −0.181541 | − | 0.314438i | ||||
\(137\) | 2.04448 | − | 0.547817i | 0.174672 | − | 0.0468032i | −0.170423 | − | 0.985371i | \(-0.554513\pi\) |
0.345095 | + | 0.938568i | \(0.387847\pi\) | |||||||
\(138\) | −2.59294 | + | 5.42230i | −0.220726 | + | 0.461577i | ||||
\(139\) | 8.98460i | 0.762064i | 0.924562 | + | 0.381032i | \(0.124431\pi\) | ||||
−0.924562 | + | 0.381032i | \(0.875569\pi\) | |||||||
\(140\) | −0.347083 | + | 8.78515i | −0.0293339 | + | 0.742481i | ||||
\(141\) | 10.3933 | − | 3.66882i | 0.875276 | − | 0.308970i | ||||
\(142\) | 0.400586 | + | 1.49501i | 0.0336164 | + | 0.125458i | ||||
\(143\) | −0.992941 | − | 0.266058i | −0.0830339 | − | 0.0222489i | ||||
\(144\) | 1.88331 | + | 2.33520i | 0.156942 | + | 0.194600i | ||||
\(145\) | 11.4605 | − | 2.59062i | 0.951741 | − | 0.215139i | ||||
\(146\) | −11.7903 | − | 6.80712i | −0.975770 | − | 0.563361i | ||||
\(147\) | −12.0841 | + | 8.28746i | −0.996681 | + | 0.683538i | ||||
\(148\) | −0.0526671 | + | 0.196556i | −0.00432921 | + | 0.0161568i | ||||
\(149\) | −0.868246 | − | 1.50385i | −0.0711295 | − | 0.123200i | 0.828267 | − | 0.560333i | \(-0.189327\pi\) |
−0.899397 | + | 0.437134i | \(0.855994\pi\) | |||||||
\(150\) | −6.13249 | + | 6.11495i | −0.500715 | + | 0.499284i | ||||
\(151\) | 2.13775 | 0.173967 | 0.0869837 | − | 0.996210i | \(-0.472277\pi\) | ||||
0.0869837 | + | 0.996210i | \(0.472277\pi\) | |||||||
\(152\) | −1.15179 | + | 4.29854i | −0.0934225 | + | 0.348658i | ||||
\(153\) | 11.6147 | − | 5.14349i | 0.938996 | − | 0.415827i | ||||
\(154\) | 1.02397i | 0.0825136i | ||||||||
\(155\) | 6.35888 | + | 10.7035i | 0.510757 | + | 0.859725i | ||||
\(156\) | −6.72114 | − | 1.25262i | −0.538122 | − | 0.100290i | ||||
\(157\) | −10.5251 | + | 10.5251i | −0.839995 | + | 0.839995i | −0.988858 | − | 0.148863i | \(-0.952439\pi\) |
0.148863 | + | 0.988858i | \(0.452439\pi\) | |||||||
\(158\) | 6.15823 | + | 1.65009i | 0.489923 | + | 0.131274i | ||||
\(159\) | −7.91490 | − | 1.47510i | −0.627693 | − | 0.116983i | ||||
\(160\) | 1.89085 | + | 1.19361i | 0.149484 | + | 0.0943631i | ||||
\(161\) | −11.8161 | + | 6.82203i | −0.931240 | + | 0.537652i | ||||
\(162\) | −7.56752 | + | 4.87162i | −0.594560 | + | 0.382750i | ||||
\(163\) | −6.55056 | − | 6.55056i | −0.513079 | − | 0.513079i | 0.402389 | − | 0.915469i | \(-0.368180\pi\) |
−0.915469 | + | 0.402389i | \(0.868180\pi\) | |||||||
\(164\) | 5.65872 | − | 9.80119i | 0.441872 | − | 0.765345i | ||||
\(165\) | −0.685553 | + | 0.739823i | −0.0533702 | + | 0.0575951i | ||||
\(166\) | −2.51799 | + | 4.36129i | −0.195434 | + | 0.338502i | ||||
\(167\) | 2.31775 | − | 8.64995i | 0.179353 | − | 0.669353i | −0.816417 | − | 0.577463i | \(-0.804043\pi\) |
0.995769 | − | 0.0918896i | \(-0.0292907\pi\) | |||||||
\(168\) | 0.527559 | + | 6.78979i | 0.0407021 | + | 0.523844i | ||||
\(169\) | 2.23514 | − | 1.29046i | 0.171934 | − | 0.0992660i | ||||
\(170\) | 6.95397 | − | 6.42538i | 0.533345 | − | 0.492804i | ||||
\(171\) | −12.4542 | − | 4.80924i | −0.952399 | − | 0.367772i | ||||
\(172\) | −2.97679 | − | 0.797629i | −0.226978 | − | 0.0608187i | ||||
\(173\) | −0.217580 | − | 0.812020i | −0.0165423 | − | 0.0617367i | 0.957161 | − | 0.289555i | \(-0.0935074\pi\) |
−0.973704 | + | 0.227818i | \(0.926841\pi\) | |||||||
\(174\) | 8.58222 | − | 3.02950i | 0.650616 | − | 0.229666i | ||||
\(175\) | −19.3319 | + | 3.57425i | −1.46135 | + | 0.270188i | ||||
\(176\) | 0.225535 | + | 0.130213i | 0.0170003 | + | 0.00981515i | ||||
\(177\) | 14.3329 | − | 1.11365i | 1.07732 | − | 0.0837069i | ||||
\(178\) | −11.4544 | − | 11.4544i | −0.858541 | − | 0.858541i | ||||
\(179\) | 9.42040 | + | 16.3166i | 0.704114 | + | 1.21956i | 0.967010 | + | 0.254737i | \(0.0819889\pi\) |
−0.262896 | + | 0.964824i | \(0.584678\pi\) | |||||||
\(180\) | −4.16465 | + | 5.25887i | −0.310414 | + | 0.391973i | ||||
\(181\) | 1.43029 | − | 2.47733i | 0.106313 | − | 0.184139i | −0.807961 | − | 0.589236i | \(-0.799429\pi\) |
0.914274 | + | 0.405097i | \(0.132762\pi\) | |||||||
\(182\) | −10.9745 | − | 10.9745i | −0.813483 | − | 0.813483i | ||||
\(183\) | −1.63572 | + | 3.42059i | −0.120916 | + | 0.252857i | ||||
\(184\) | 3.47009i | 0.255819i | ||||||||
\(185\) | −0.454663 | − | 0.0179628i | −0.0334275 | − | 0.00132065i | ||||
\(186\) | 5.85994 | + | 7.65905i | 0.429672 | + | 0.561589i | ||||
\(187\) | 0.779725 | − | 0.779725i | 0.0570192 | − | 0.0570192i | ||||
\(188\) | 4.49966 | − | 4.49966i | 0.328171 | − | 0.328171i | ||||
\(189\) | −20.4221 | − | 0.595886i | −1.48549 | − | 0.0433443i | ||||
\(190\) | −9.94314 | − | 0.392833i | −0.721351 | − | 0.0284991i | ||||
\(191\) | −2.96477 | − | 1.71171i | −0.214523 | − | 0.123855i | 0.388889 | − | 0.921285i | \(-0.372859\pi\) |
−0.603412 | + | 0.797430i | \(0.706192\pi\) | |||||||
\(192\) | 1.56258 | + | 0.747225i | 0.112769 | + | 0.0539263i | ||||
\(193\) | −3.51371 | + | 13.1133i | −0.252922 | + | 0.943919i | 0.716312 | + | 0.697780i | \(0.245829\pi\) |
−0.969235 | + | 0.246139i | \(0.920838\pi\) | |||||||
\(194\) | 1.55528 | 0.111663 | ||||||||
\(195\) | −0.581643 | − | 15.2766i | −0.0416523 | − | 1.09398i | ||||
\(196\) | −4.22993 | + | 7.32645i | −0.302138 | + | 0.523318i | ||||
\(197\) | −0.118824 | + | 0.0318387i | −0.00846584 | + | 0.00226841i | −0.263049 | − | 0.964782i | \(-0.584728\pi\) |
0.254584 | + | 0.967051i | \(0.418062\pi\) | |||||||
\(198\) | −0.460482 | + | 0.631149i | −0.0327250 | + | 0.0448538i | ||||
\(199\) | −9.88901 | − | 5.70942i | −0.701013 | − | 0.404730i | 0.106712 | − | 0.994290i | \(-0.465968\pi\) |
−0.807725 | + | 0.589560i | \(0.799301\pi\) | |||||||
\(200\) | −1.67108 | + | 4.71248i | −0.118164 | + | 0.333223i | ||||
\(201\) | 25.2641 | + | 4.70848i | 1.78199 | + | 0.332111i | ||||
\(202\) | 9.69205 | − | 9.69205i | 0.681930 | − | 0.681930i | ||||
\(203\) | 19.9566 | + | 5.34735i | 1.40068 | + | 0.375310i | ||||
\(204\) | 4.76853 | − | 5.57198i | 0.333864 | − | 0.390117i | ||||
\(205\) | 24.1666 | + | 7.50971i | 1.68787 | + | 0.524501i | ||||
\(206\) | 12.3848 | + | 7.15037i | 0.862890 | + | 0.498190i | ||||
\(207\) | −10.3511 | − | 1.10881i | −0.719448 | − | 0.0770675i | ||||
\(208\) | −3.81277 | + | 1.02163i | −0.264368 | + | 0.0708371i | ||||
\(209\) | −1.15894 | −0.0801654 | ||||||||
\(210\) | −14.5487 | + | 4.49813i | −1.00396 | + | 0.310400i | ||||
\(211\) | −4.52765 | − | 7.84211i | −0.311696 | − | 0.539873i | 0.667034 | − | 0.745028i | \(-0.267564\pi\) |
−0.978730 | + | 0.205154i | \(0.934230\pi\) | |||||||
\(212\) | −4.48997 | + | 1.20308i | −0.308372 | + | 0.0826281i | ||||
\(213\) | −2.21081 | + | 1.51620i | −0.151482 | + | 0.103889i | ||||
\(214\) | 0.853544 | − | 0.492794i | 0.0583471 | − | 0.0336867i | ||||
\(215\) | 0.272042 | − | 6.88575i | 0.0185531 | − | 0.469604i | ||||
\(216\) | −2.72822 | + | 4.42231i | −0.185632 | + | 0.300900i | ||||
\(217\) | 1.13686 | + | 21.8624i | 0.0771750 | + | 1.48411i | ||||
\(218\) | 11.6974 | − | 11.6974i | 0.792246 | − | 0.792246i | ||||
\(219\) | 4.32032 | − | 23.1814i | 0.291940 | − | 1.56645i | ||||
\(220\) | −0.172806 | + | 0.556098i | −0.0116506 | + | 0.0374921i | ||||
\(221\) | 16.7136i | 1.12428i | ||||||||
\(222\) | −0.351396 | + | 0.0273031i | −0.0235842 | + | 0.00183246i | ||||
\(223\) | −5.00992 | + | 18.6973i | −0.335489 | + | 1.25206i | 0.567850 | + | 0.823132i | \(0.307776\pi\) |
−0.903338 | + | 0.428929i | \(0.858891\pi\) | |||||||
\(224\) | 1.96595 | + | 3.40513i | 0.131356 | + | 0.227515i | ||||
\(225\) | −13.5231 | − | 6.49053i | −0.901537 | − | 0.432702i | ||||
\(226\) | −8.67726 | + | 15.0294i | −0.577203 | + | 0.999744i | ||||
\(227\) | −20.2537 | + | 5.42697i | −1.34429 | + | 0.360201i | −0.858023 | − | 0.513612i | \(-0.828307\pi\) |
−0.486264 | + | 0.873812i | \(0.661641\pi\) | |||||||
\(228\) | −7.68477 | + | 0.597098i | −0.508936 | + | 0.0395438i | ||||
\(229\) | −2.59523 | + | 1.49835i | −0.171497 | + | 0.0990141i | −0.583292 | − | 0.812263i | \(-0.698236\pi\) |
0.411794 | + | 0.911277i | \(0.364902\pi\) | |||||||
\(230\) | −7.56841 | + | 1.71083i | −0.499046 | + | 0.112809i | ||||
\(231\) | −1.67242 | + | 0.590361i | −0.110037 | + | 0.0388429i | ||||
\(232\) | 3.71556 | − | 3.71556i | 0.243938 | − | 0.243938i | ||||
\(233\) | −15.6830 | + | 15.6830i | −1.02743 | + | 1.02743i | −0.0278173 | + | 0.999613i | \(0.508856\pi\) |
−0.999613 | + | 0.0278173i | \(0.991144\pi\) | |||||||
\(234\) | −1.82915 | − | 11.6997i | −0.119575 | − | 0.764832i | ||||
\(235\) | 12.0323 | + | 7.59551i | 0.784904 | + | 0.495476i | ||||
\(236\) | 7.18804 | − | 4.15001i | 0.467901 | − | 0.270143i | ||||
\(237\) | 0.855422 | + | 11.0095i | 0.0555656 | + | 0.715141i | ||||
\(238\) | 16.0813 | − | 4.30896i | 1.04239 | − | 0.279308i | ||||
\(239\) | 14.4663 | − | 25.0564i | 0.935749 | − | 1.62077i | 0.162457 | − | 0.986716i | \(-0.448058\pi\) |
0.773292 | − | 0.634050i | \(-0.218609\pi\) | |||||||
\(240\) | −0.859344 | + | 3.77644i | −0.0554704 | + | 0.243768i | ||||
\(241\) | 7.28823 | + | 12.6236i | 0.469476 | + | 0.813157i | 0.999391 | − | 0.0348943i | \(-0.0111094\pi\) |
−0.529915 | + | 0.848051i | \(0.677776\pi\) | |||||||
\(242\) | 2.82946 | − | 10.5597i | 0.181884 | − | 0.678802i | ||||
\(243\) | −12.3197 | − | 9.55117i | −0.790310 | − | 0.612708i | ||||
\(244\) | 2.18907i | 0.140141i | ||||||||
\(245\) | −18.0647 | − | 5.61355i | −1.15411 | − | 0.358637i | ||||
\(246\) | 19.2706 | + | 3.59146i | 1.22865 | + | 0.228983i | ||||
\(247\) | 12.4211 | − | 12.4211i | 0.790333 | − | 0.790333i | ||||
\(248\) | 4.95989 | + | 2.52973i | 0.314953 | + | 0.160638i | ||||
\(249\) | −8.57493 | − | 1.59811i | −0.543414 | − | 0.101276i | ||||
\(250\) | −11.1020 | − | 1.32135i | −0.702151 | − | 0.0835697i | ||||
\(251\) | −21.9482 | + | 12.6718i | −1.38536 | + | 0.799837i | −0.992788 | − | 0.119886i | \(-0.961747\pi\) |
−0.392570 | + | 0.919722i | \(0.628414\pi\) | |||||||
\(252\) | −10.7855 | + | 4.77626i | −0.679420 | + | 0.300876i | ||||
\(253\) | −0.872907 | + | 0.233895i | −0.0548792 | + | 0.0147048i | ||||
\(254\) | 1.96027 | + | 3.39528i | 0.122998 | + | 0.213039i | ||||
\(255\) | 14.5037 | + | 7.65326i | 0.908256 | + | 0.479266i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 4.52881 | − | 1.21349i | 0.282500 | − | 0.0756955i | −0.114787 | − | 0.993390i | \(-0.536619\pi\) |
0.397287 | + | 0.917695i | \(0.369952\pi\) | |||||||
\(258\) | −0.413498 | − | 5.32180i | −0.0257432 | − | 0.331321i | ||||
\(259\) | −0.692910 | − | 0.400052i | −0.0430553 | − | 0.0248580i | ||||
\(260\) | −4.10798 | − | 7.81211i | −0.254766 | − | 0.484487i | ||||
\(261\) | 9.89603 | + | 12.2705i | 0.612549 | + | 0.759526i | ||||
\(262\) | 5.35710 | + | 1.43543i | 0.330963 | + | 0.0886812i | ||||
\(263\) | 5.43999 | − | 5.43999i | 0.335444 | − | 0.335444i | −0.519205 | − | 0.854650i | \(-0.673772\pi\) |
0.854650 | + | 0.519205i | \(0.173772\pi\) | |||||||
\(264\) | −0.0826430 | + | 0.443434i | −0.00508632 | + | 0.0272915i | ||||
\(265\) | −4.83761 | − | 9.19965i | −0.297172 | − | 0.565130i | ||||
\(266\) | −15.1534 | − | 8.74883i | −0.929116 | − | 0.536425i | ||||
\(267\) | 12.1042 | − | 25.3121i | 0.740767 | − | 1.54908i | ||||
\(268\) | 14.3318 | − | 3.84020i | 0.875456 | − | 0.234578i | ||||
\(269\) | 4.48837 | − | 7.77409i | 0.273661 | − | 0.473995i | −0.696135 | − | 0.717911i | \(-0.745099\pi\) |
0.969796 | + | 0.243916i | \(0.0784320\pi\) | |||||||
\(270\) | −10.9903 | − | 3.77006i | −0.668848 | − | 0.229439i | ||||
\(271\) | −24.4726 | −1.48660 | −0.743301 | − | 0.668957i | \(-0.766741\pi\) | ||||
−0.743301 | + | 0.668957i | \(0.766741\pi\) | |||||||
\(272\) | 1.09590 | − | 4.08994i | 0.0664485 | − | 0.247989i | ||||
\(273\) | 11.5971 | − | 24.2517i | 0.701890 | − | 1.46778i | ||||
\(274\) | 1.83303 | + | 1.05830i | 0.110738 | + | 0.0639344i | ||||
\(275\) | −1.29807 | − | 0.102728i | −0.0782764 | − | 0.00619475i | ||||
\(276\) | −5.66763 | + | 2.00066i | −0.341151 | + | 0.120425i | ||||
\(277\) | −22.6397 | + | 22.6397i | −1.36029 | + | 1.36029i | −0.486744 | + | 0.873545i | \(0.661815\pi\) |
−0.873545 | + | 0.486744i | \(0.838185\pi\) | |||||||
\(278\) | −6.35307 | + | 6.35307i | −0.381032 | + | 0.381032i | ||||
\(279\) | −9.13085 | + | 13.9867i | −0.546650 | + | 0.837361i | ||||
\(280\) | −6.45746 | + | 5.96661i | −0.385907 | + | 0.356573i | ||||
\(281\) | − | 0.0358575i | − | 0.00213908i | −0.999999 | − | 0.00106954i | \(-0.999660\pi\) | ||
0.999999 | − | 0.00106954i | \(-0.000340445\pi\) | |||||||
\(282\) | 9.94344 | + | 4.75495i | 0.592123 | + | 0.283153i | ||||
\(283\) | −19.5773 | − | 19.5773i | −1.16375 | − | 1.16375i | −0.983648 | − | 0.180103i | \(-0.942357\pi\) |
−0.180103 | − | 0.983648i | \(-0.557643\pi\) | |||||||
\(284\) | −0.773872 | + | 1.34039i | −0.0459209 | + | 0.0795373i | ||||
\(285\) | −5.09104 | − | 16.4664i | −0.301567 | − | 0.975385i | ||||
\(286\) | −0.513984 | − | 0.890247i | −0.0303925 | − | 0.0526414i | ||||
\(287\) | 31.4656 | + | 31.4656i | 1.85736 | + | 1.85736i | ||||
\(288\) | −0.319533 | + | 2.98293i | −0.0188286 | + | 0.175771i | ||||
\(289\) | −0.804211 | − | 0.464311i | −0.0473065 | − | 0.0273124i | ||||
\(290\) | 9.93563 | + | 6.27194i | 0.583440 | + | 0.368301i | ||||
\(291\) | 0.896688 | + | 2.54021i | 0.0525648 | + | 0.148910i | ||||
\(292\) | −3.52362 | − | 13.1503i | −0.206204 | − | 0.769566i | ||||
\(293\) | 25.8796 | + | 6.93442i | 1.51190 | + | 0.405113i | 0.917067 | − | 0.398734i | \(-0.130550\pi\) |
0.594836 | + | 0.803847i | \(0.297217\pi\) | |||||||
\(294\) | −14.4049 | − | 2.68464i | −0.840109 | − | 0.156571i | ||||
\(295\) | 12.5952 | + | 13.6313i | 0.733320 | + | 0.793648i | ||||
\(296\) | −0.176228 | + | 0.101745i | −0.0102430 | + | 0.00591381i | ||||
\(297\) | −1.29633 | − | 0.388210i | −0.0752206 | − | 0.0225263i | ||||
\(298\) | 0.449437 | − | 1.67732i | 0.0260352 | − | 0.0971647i | ||||
\(299\) | 6.84869 | − | 11.8623i | 0.396070 | − | 0.686013i | ||||
\(300\) | −8.66025 | − | 0.0123994i | −0.499999 | − | 0.000715879i | ||||
\(301\) | 6.05868 | − | 10.4939i | 0.349216 | − | 0.604860i | ||||
\(302\) | 1.51162 | + | 1.51162i | 0.0869837 | + | 0.0869837i | ||||
\(303\) | 21.4177 | + | 10.2419i | 1.23041 | + | 0.588384i | ||||
\(304\) | −3.85397 | + | 2.22509i | −0.221040 | + | 0.127618i | ||||
\(305\) | −4.77444 | + | 1.07925i | −0.273383 | + | 0.0617979i | ||||
\(306\) | 11.8499 | + | 4.57586i | 0.677411 | + | 0.261584i | ||||
\(307\) | 10.1195 | + | 2.71151i | 0.577550 | + | 0.154754i | 0.535757 | − | 0.844372i | \(-0.320026\pi\) |
0.0417928 | + | 0.999126i | \(0.486693\pi\) | |||||||
\(308\) | −0.724054 | + | 0.724054i | −0.0412568 | + | 0.0412568i | ||||
\(309\) | −4.53818 | + | 24.3503i | −0.258168 | + | 1.38524i | ||||
\(310\) | −3.07211 | + | 12.0649i | −0.174484 | + | 0.685241i | ||||
\(311\) | 19.8765i | 1.12709i | 0.826084 | + | 0.563547i | \(0.190564\pi\) | ||||
−0.826084 | + | 0.563547i | \(0.809436\pi\) | |||||||
\(312\) | −3.86683 | − | 5.63830i | −0.218916 | − | 0.319206i | ||||
\(313\) | 1.02635 | − | 3.83038i | 0.0580126 | − | 0.216506i | −0.930834 | − | 0.365442i | \(-0.880918\pi\) |
0.988847 | + | 0.148936i | \(0.0475847\pi\) | |||||||
\(314\) | −14.8847 | −0.839995 | ||||||||
\(315\) | −15.7346 | − | 21.1687i | −0.886547 | − | 1.19272i | ||||
\(316\) | 3.18774 | + | 5.52132i | 0.179324 | + | 0.310599i | ||||
\(317\) | 2.43934 | − | 9.10376i | 0.137007 | − | 0.511318i | −0.862974 | − | 0.505248i | \(-0.831401\pi\) |
0.999982 | − | 0.00607024i | \(-0.00193223\pi\) | |||||||
\(318\) | −4.55363 | − | 6.63974i | −0.255355 | − | 0.372338i | ||||
\(319\) | 1.18509 | + | 0.684215i | 0.0663526 | + | 0.0383087i | ||||
\(320\) | 0.493020 | + | 2.18104i | 0.0275607 | + | 0.121924i | ||||
\(321\) | 1.29697 | + | 1.10996i | 0.0723901 | + | 0.0619519i | ||||
\(322\) | −13.1792 | − | 3.53134i | −0.734446 | − | 0.196794i | ||||
\(323\) | 4.87693 | + | 18.2010i | 0.271360 | + | 1.01273i | ||||
\(324\) | −8.79580 | − | 1.90629i | −0.488655 | − | 0.105905i | ||||
\(325\) | 15.0132 | − | 12.8112i | 0.832783 | − | 0.710637i | ||||
\(326\) | − | 9.26389i | − | 0.513079i | ||||||
\(327\) | 25.8491 | + | 12.3610i | 1.42946 | + | 0.683567i | ||||
\(328\) | 10.9318 | − | 2.92917i | 0.603608 | − | 0.161736i | ||||
\(329\) | 12.5103 | + | 21.6684i | 0.689714 | + | 1.19462i | ||||
\(330\) | −1.00789 | + | 0.0383745i | −0.0554827 | + | 0.00211245i | ||||
\(331\) | −0.625145 | + | 1.08278i | −0.0343611 | + | 0.0595152i | −0.882695 | − | 0.469947i | \(-0.844273\pi\) |
0.848333 | + | 0.529462i | \(0.177606\pi\) | |||||||
\(332\) | −4.86439 | + | 1.30341i | −0.266968 | + | 0.0715338i | ||||
\(333\) | −0.247188 | − | 0.558186i | −0.0135458 | − | 0.0305884i | ||||
\(334\) | 7.75533 | − | 4.47754i | 0.424353 | − | 0.245000i | ||||
\(335\) | 15.4415 | + | 29.3650i | 0.843660 | + | 1.60438i | ||||
\(336\) | −4.42807 | + | 5.17415i | −0.241571 | + | 0.282273i | ||||
\(337\) | 21.6918 | − | 21.6918i | 1.18163 | − | 1.18163i | 0.202304 | − | 0.979323i | \(-0.435157\pi\) |
0.979323 | − | 0.202304i | \(-0.0648429\pi\) | |||||||
\(338\) | 2.49297 | + | 0.667990i | 0.135600 | + | 0.0363339i | ||||
\(339\) | −29.5501 | − | 5.50726i | −1.60494 | − | 0.299113i | ||||
\(340\) | 9.46062 | + | 0.373770i | 0.513074 | + | 0.0202705i | ||||
\(341\) | −0.302045 | + | 1.41818i | −0.0163566 | + | 0.0767987i | ||||
\(342\) | −5.40582 | − | 12.2071i | −0.292313 | − | 0.660085i | ||||
\(343\) | −4.05882 | − | 4.05882i | −0.219155 | − | 0.219155i | ||||
\(344\) | −1.54090 | − | 2.66892i | −0.0830799 | − | 0.143899i | ||||
\(345\) | −7.15777 | − | 11.3750i | −0.385361 | − | 0.612407i | ||||
\(346\) | 0.420332 | − | 0.728037i | 0.0225972 | − | 0.0391395i | ||||
\(347\) | 4.62501 | − | 17.2608i | 0.248283 | − | 0.926606i | −0.723421 | − | 0.690407i | \(-0.757431\pi\) |
0.971705 | − | 0.236199i | \(-0.0759019\pi\) | |||||||
\(348\) | 8.21072 | + | 3.92637i | 0.440141 | + | 0.210475i | ||||
\(349\) | − | 5.52625i | − | 0.295814i | −0.989001 | − | 0.147907i | \(-0.952746\pi\) | ||
0.989001 | − | 0.147907i | \(-0.0472536\pi\) | |||||||
\(350\) | −16.1971 | − | 11.1423i | −0.865770 | − | 0.595582i | ||||
\(351\) | 18.0543 | − | 9.73287i | 0.963665 | − | 0.519502i | ||||
\(352\) | 0.0674030 | + | 0.251552i | 0.00359259 | + | 0.0134077i | ||||
\(353\) | 18.3117 | + | 4.90659i | 0.974631 | + | 0.261152i | 0.710782 | − | 0.703412i | \(-0.248341\pi\) |
0.263849 | + | 0.964564i | \(0.415008\pi\) | |||||||
\(354\) | 10.9223 | + | 9.34740i | 0.580516 | + | 0.496809i | ||||
\(355\) | −3.30497 | − | 1.02701i | −0.175410 | − | 0.0545079i | ||||
\(356\) | − | 16.1989i | − | 0.858541i | ||||||
\(357\) | 16.3093 | + | 23.7809i | 0.863178 | + | 1.25862i | ||||
\(358\) | −4.87636 | + | 18.1988i | −0.257724 | + | 0.961838i | ||||
\(359\) | 15.8626 | − | 27.4748i | 0.837196 | − | 1.45007i | −0.0550345 | − | 0.998484i | \(-0.517527\pi\) |
0.892230 | − | 0.451581i | \(-0.149140\pi\) | |||||||
\(360\) | −6.66343 | + | 0.773734i | −0.351194 | + | 0.0407793i | ||||
\(361\) | 0.402031 | − | 0.696339i | 0.0211596 | − | 0.0366494i | ||||
\(362\) | 2.76311 | − | 0.740372i | 0.145226 | − | 0.0389131i | ||||
\(363\) | 18.8782 | − | 1.46681i | 0.990848 | − | 0.0769877i | ||||
\(364\) | − | 15.5203i | − | 0.813483i | ||||||
\(365\) | 26.9442 | − | 14.1685i | 1.41032 | − | 0.741615i | ||||
\(366\) | −3.57535 | + | 1.26209i | −0.186887 | + | 0.0659705i | ||||
\(367\) | −3.12148 | − | 11.6495i | −0.162940 | − | 0.608099i | −0.998294 | − | 0.0583873i | \(-0.981404\pi\) |
0.835354 | − | 0.549712i | \(-0.185262\pi\) | |||||||
\(368\) | −2.45373 | + | 2.45373i | −0.127909 | + | 0.127909i | ||||
\(369\) | 5.24445 | + | 33.5448i | 0.273015 | + | 1.74627i | ||||
\(370\) | −0.308794 | − | 0.334197i | −0.0160534 | − | 0.0173741i | ||||
\(371\) | − | 18.2769i | − | 0.948888i | ||||||
\(372\) | −1.27216 | + | 9.55937i | −0.0659584 | + | 0.495630i | ||||
\(373\) | −5.72451 | − | 5.72451i | −0.296404 | − | 0.296404i | 0.543200 | − | 0.839603i | \(-0.317213\pi\) |
−0.839603 | + | 0.543200i | \(0.817213\pi\) | |||||||
\(374\) | 1.10270 | 0.0570192 | ||||||||
\(375\) | −4.24263 | − | 18.8944i | −0.219089 | − | 0.975705i | ||||
\(376\) | 6.36348 | 0.328171 | ||||||||
\(377\) | −20.0345 | + | 5.36824i | −1.03183 | + | 0.276478i | ||||
\(378\) | −14.0192 | − | 14.8619i | −0.721072 | − | 0.764416i | ||||
\(379\) | −15.2650 | + | 8.81324i | −0.784109 | + | 0.452706i | −0.837885 | − | 0.545847i | \(-0.816208\pi\) |
0.0537753 | + | 0.998553i | \(0.482875\pi\) | |||||||
\(380\) | −6.75309 | − | 7.30864i | −0.346426 | − | 0.374925i | ||||
\(381\) | −4.41526 | + | 5.15918i | −0.226201 | + | 0.264313i | ||||
\(382\) | −0.886046 | − | 3.30677i | −0.0453340 | − | 0.169189i | ||||
\(383\) | −9.86701 | − | 36.8242i | −0.504180 | − | 1.88163i | −0.470911 | − | 0.882180i | \(-0.656075\pi\) |
−0.0332689 | − | 0.999446i | \(-0.510592\pi\) | |||||||
\(384\) | 0.576543 | + | 1.63328i | 0.0294216 | + | 0.0833479i | ||||
\(385\) | −1.93616 | − | 1.22222i | −0.0986760 | − | 0.0622899i | ||||
\(386\) | −11.7571 | + | 6.78796i | −0.598420 | + | 0.345498i | ||||
\(387\) | 8.45358 | − | 3.74360i | 0.429720 | − | 0.190298i | ||||
\(388\) | 1.09975 | + | 1.09975i | 0.0558314 | + | 0.0558314i | ||||
\(389\) | −6.86018 | − | 11.8822i | −0.347825 | − | 0.602450i | 0.638038 | − | 0.770005i | \(-0.279746\pi\) |
−0.985863 | + | 0.167555i | \(0.946413\pi\) | |||||||
\(390\) | 10.3909 | − | 11.2135i | 0.526165 | − | 0.567817i | ||||
\(391\) | 7.34657 | + | 12.7246i | 0.371532 | + | 0.643512i | ||||
\(392\) | −8.17160 | + | 2.18957i | −0.412728 | + | 0.110590i | ||||
\(393\) | 0.744140 | + | 9.57723i | 0.0375369 | + | 0.483107i | ||||
\(394\) | −0.106534 | − | 0.0615077i | −0.00536713 | − | 0.00309871i | ||||
\(395\) | −10.4706 | + | 9.67470i | −0.526833 | + | 0.486787i | ||||
\(396\) | −0.771899 | + | 0.120680i | −0.0387894 | + | 0.00606439i | ||||
\(397\) | −28.5932 | − | 7.66153i | −1.43505 | − | 0.384521i | −0.544255 | − | 0.838920i | \(-0.683187\pi\) |
−0.890798 | + | 0.454399i | \(0.849854\pi\) | |||||||
\(398\) | −2.95541 | − | 11.0298i | −0.148141 | − | 0.552872i | ||||
\(399\) | 5.55268 | − | 29.7938i | 0.277982 | − | 1.49156i | ||||
\(400\) | −4.51386 | + | 2.15059i | −0.225693 | + | 0.107530i | ||||
\(401\) | 23.4886i | 1.17296i | 0.809963 | + | 0.586481i | \(0.199487\pi\) | ||||
−0.809963 | + | 0.586481i | \(0.800513\pi\) | |||||||
\(402\) | 14.5350 | + | 21.1938i | 0.724941 | + | 1.05705i | ||||
\(403\) | −11.9623 | − | 18.4367i | −0.595884 | − | 0.918397i | ||||
\(404\) | 13.7066 | 0.681930 | ||||||||
\(405\) | −0.178813 | − | 20.1238i | −0.00888530 | − | 0.999961i | ||||
\(406\) | 10.3303 | + | 17.8926i | 0.512683 | + | 0.887993i | ||||
\(407\) | −0.0374724 | − | 0.0374724i | −0.00185744 | − | 0.00185744i | ||||
\(408\) | 7.31185 | − | 0.568122i | 0.361990 | − | 0.0281262i | ||||
\(409\) | −32.0543 | + | 18.5066i | −1.58499 | + | 0.915092i | −0.590870 | + | 0.806767i | \(0.701215\pi\) |
−0.994116 | + | 0.108325i | \(0.965451\pi\) | |||||||
\(410\) | 11.7782 | + | 22.3986i | 0.581686 | + | 1.10619i | ||||
\(411\) | −0.671680 | + | 3.60401i | −0.0331315 | + | 0.177773i | ||||
\(412\) | 3.70130 | + | 13.8135i | 0.182350 | + | 0.680540i | ||||
\(413\) | 8.44654 | + | 31.5229i | 0.415627 | + | 1.55114i | ||||
\(414\) | −6.53526 | − | 8.10335i | −0.321190 | − | 0.398258i | ||||
\(415\) | −5.24103 | − | 9.96681i | −0.257272 | − | 0.489252i | ||||
\(416\) | −3.41843 | − | 1.97363i | −0.167602 | − | 0.0967653i | ||||
\(417\) | −14.0392 | − | 6.71352i | −0.687501 | − | 0.328762i | ||||
\(418\) | −0.819493 | − | 0.819493i | −0.0400827 | − | 0.0400827i | ||||
\(419\) | −24.7793 | −1.21055 | −0.605273 | − | 0.796018i | \(-0.706936\pi\) | ||||
−0.605273 | + | 0.796018i | \(0.706936\pi\) | |||||||
\(420\) | −13.4681 | − | 7.10683i | −0.657178 | − | 0.346778i | ||||
\(421\) | 11.8864 | − | 20.5878i | 0.579305 | − | 1.00339i | −0.416254 | − | 0.909248i | \(-0.636657\pi\) |
0.995559 | − | 0.0941378i | \(-0.0300094\pi\) | |||||||
\(422\) | 2.34368 | − | 8.74674i | 0.114089 | − | 0.425785i | ||||
\(423\) | −2.03334 | + | 18.9818i | −0.0988643 | + | 0.922928i | ||||
\(424\) | −4.02559 | − | 2.32418i | −0.195500 | − | 0.112872i | ||||
\(425\) | 3.84907 | + | 20.8183i | 0.186707 | + | 1.00983i | ||||
\(426\) | −2.63539 | − | 0.491159i | −0.127685 | − | 0.0237967i | ||||
\(427\) | −8.31391 | − | 2.22771i | −0.402338 | − | 0.107806i | ||||
\(428\) | 0.952005 | + | 0.255089i | 0.0460169 | + | 0.0123302i | ||||
\(429\) | 1.15769 | − | 1.35274i | 0.0558936 | − | 0.0653111i | ||||
\(430\) | 5.06132 | − | 4.67660i | 0.244079 | − | 0.225526i | ||||
\(431\) | −6.73190 | + | 3.88667i | −0.324264 | + | 0.187214i | −0.653292 | − | 0.757106i | \(-0.726612\pi\) |
0.329027 | + | 0.944320i | \(0.393279\pi\) | |||||||
\(432\) | −5.05619 | + | 1.19790i | −0.243266 | + | 0.0576342i | ||||
\(433\) | 19.9432 | + | 19.9432i | 0.958408 | + | 0.958408i | 0.999169 | − | 0.0407605i | \(-0.0129781\pi\) |
−0.0407605 | + | 0.999169i | \(0.512978\pi\) | |||||||
\(434\) | −14.6551 | + | 16.2629i | −0.703470 | + | 0.780645i | ||||
\(435\) | −4.51550 | + | 19.8437i | −0.216502 | + | 0.951432i | ||||
\(436\) | 16.5426 | 0.792246 | ||||||||
\(437\) | 3.99682 | − | 14.9163i | 0.191194 | − | 0.713545i | ||||
\(438\) | 19.4467 | − | 13.3368i | 0.929197 | − | 0.637257i | ||||
\(439\) | 19.1289 | + | 11.0441i | 0.912974 | + | 0.527106i | 0.881387 | − | 0.472395i | \(-0.156610\pi\) |
0.0315873 | + | 0.999501i | \(0.489944\pi\) | |||||||
\(440\) | −0.515413 | + | 0.271029i | −0.0245713 | + | 0.0129208i | ||||
\(441\) | −3.92026 | − | 25.0750i | −0.186679 | − | 1.19405i | ||||
\(442\) | −11.8183 | + | 11.8183i | −0.562139 | + | 0.562139i | ||||
\(443\) | −6.52073 | − | 24.3357i | −0.309809 | − | 1.15622i | −0.928726 | − | 0.370767i | \(-0.879095\pi\) |
0.618916 | − | 0.785457i | \(-0.287572\pi\) | |||||||
\(444\) | −0.267781 | − | 0.229168i | −0.0127083 | − | 0.0108758i | ||||
\(445\) | 35.3305 | − | 7.98639i | 1.67483 | − | 0.378591i | ||||
\(446\) | −16.7635 | + | 9.67841i | −0.793775 | + | 0.458286i | ||||
\(447\) | 2.99865 | − | 0.232992i | 0.141831 | − | 0.0110201i | ||||
\(448\) | −1.01765 | + | 3.79793i | −0.0480795 | + | 0.179435i | ||||
\(449\) | 11.5523 | 0.545185 | 0.272593 | − | 0.962130i | \(-0.412119\pi\) | ||||
0.272593 | + | 0.962130i | \(0.412119\pi\) | |||||||
\(450\) | −4.97275 | − | 14.1517i | −0.234418 | − | 0.667119i | ||||
\(451\) | 1.47367 | + | 2.55248i | 0.0693926 | + | 0.120192i | ||||
\(452\) | −16.7632 | + | 4.49168i | −0.788473 | + | 0.211271i | ||||
\(453\) | −1.59738 | + | 3.34040i | −0.0750514 | + | 0.156946i | ||||
\(454\) | −18.1590 | − | 10.4841i | −0.852244 | − | 0.492043i | ||||
\(455\) | 33.8503 | − | 7.65181i | 1.58693 | − | 0.358722i | ||||
\(456\) | −5.85616 | − | 5.01174i | −0.274240 | − | 0.234696i | ||||
\(457\) | 16.3279 | − | 16.3279i | 0.763789 | − | 0.763789i | −0.213216 | − | 0.977005i | \(-0.568394\pi\) |
0.977005 | + | 0.213216i | \(0.0683940\pi\) | |||||||
\(458\) | −2.89460 | − | 0.775605i | −0.135256 | − | 0.0362417i | ||||
\(459\) | −0.641702 | + | 21.9923i | −0.0299521 | + | 1.02651i | ||||
\(460\) | −6.56141 | − | 4.14194i | −0.305927 | − | 0.193119i | ||||
\(461\) | 5.11822i | 0.238379i | 0.992872 | + | 0.119190i | \(0.0380296\pi\) | ||||
−0.992872 | + | 0.119190i | \(0.961970\pi\) | |||||||
\(462\) | −1.60003 | − | 0.765134i | −0.0744401 | − | 0.0355972i | ||||
\(463\) | 13.0478 | + | 13.0478i | 0.606381 | + | 0.606381i | 0.941998 | − | 0.335618i | \(-0.108945\pi\) |
−0.335618 | + | 0.941998i | \(0.608945\pi\) | |||||||
\(464\) | 5.25460 | 0.243938 | ||||||||
\(465\) | −21.4766 | + | 1.93833i | −0.995952 | + | 0.0898881i | ||||
\(466\) | −22.1792 | −1.02743 | ||||||||
\(467\) | 3.08661 | + | 3.08661i | 0.142831 | + | 0.142831i | 0.774907 | − | 0.632076i | \(-0.217797\pi\) |
−0.632076 | + | 0.774907i | \(0.717797\pi\) | |||||||
\(468\) | 6.97952 | − | 9.56632i | 0.322628 | − | 0.442203i | ||||
\(469\) | 58.3392i | 2.69385i | ||||||||
\(470\) | 3.13732 | + | 13.8790i | 0.144714 | + | 0.640190i | ||||
\(471\) | −8.58169 | − | 24.3109i | −0.395423 | − | 1.12019i | ||||
\(472\) | 8.01721 | + | 2.14821i | 0.369022 | + | 0.0988792i | ||||
\(473\) | 0.567509 | − | 0.567509i | 0.0260941 | − | 0.0260941i | ||||
\(474\) | −7.17999 | + | 8.38974i | −0.329788 | + | 0.385353i | ||||
\(475\) | 12.6110 | − | 18.3320i | 0.578633 | − | 0.841132i | ||||
\(476\) | 14.4181 | + | 8.32427i | 0.660851 | + | 0.381542i | ||||
\(477\) | 8.21918 | − | 11.2654i | 0.376330 | − | 0.515809i | ||||
\(478\) | 27.9468 | − | 7.48832i | 1.27826 | − | 0.342508i | ||||
\(479\) | 9.26360 | + | 16.0450i | 0.423264 | + | 0.733116i | 0.996257 | − | 0.0864453i | \(-0.0275508\pi\) |
−0.572992 | + | 0.819561i | \(0.694217\pi\) | |||||||
\(480\) | −3.27800 | + | 2.06270i | −0.149619 | + | 0.0941490i | ||||
\(481\) | 0.803230 | 0.0366241 | ||||||||
\(482\) | −3.77267 | + | 14.0798i | −0.171840 | + | 0.641316i | ||||
\(483\) | −1.83068 | − | 23.5612i | −0.0832988 | − | 1.07207i | ||||
\(484\) | 9.46754 | − | 5.46609i | 0.430343 | − | 0.248459i | ||||
\(485\) | −1.85640 | + | 2.94080i | −0.0842949 | + | 0.133535i | ||||
\(486\) | −1.95765 | − | 15.4650i | −0.0888009 | − | 0.701509i | ||||
\(487\) | −4.69626 | − | 17.5267i | −0.212808 | − | 0.794210i | −0.986927 | − | 0.161170i | \(-0.948473\pi\) |
0.774119 | − | 0.633041i | \(-0.218193\pi\) | |||||||
\(488\) | −1.54790 | + | 1.54790i | −0.0700703 | + | 0.0700703i | ||||
\(489\) | 15.1305 | − | 5.34103i | 0.684225 | − | 0.241530i | ||||
\(490\) | −8.80431 | − | 16.7431i | −0.397738 | − | 0.756375i | ||||
\(491\) | −6.57336 | − | 3.79513i | −0.296651 | − | 0.171272i | 0.344286 | − | 0.938865i | \(-0.388121\pi\) |
−0.640938 | + | 0.767593i | \(0.721454\pi\) | |||||||
\(492\) | 11.0868 | + | 16.1659i | 0.499832 | + | 0.728815i | ||||
\(493\) | 5.75849 | − | 21.4910i | 0.259350 | − | 0.967906i | ||||
\(494\) | 17.5660 | 0.790333 | ||||||||
\(495\) | −0.643769 | − | 1.62404i | −0.0289353 | − | 0.0729954i | ||||
\(496\) | 1.71838 | + | 5.29596i | 0.0771577 | + | 0.237795i | ||||
\(497\) | −4.30316 | − | 4.30316i | −0.193023 | − | 0.193023i | ||||
\(498\) | −4.93336 | − | 7.19343i | −0.221069 | − | 0.322345i | ||||
\(499\) | 22.7085 | − | 13.1108i | 1.01657 | − | 0.586919i | 0.103464 | − | 0.994633i | \(-0.467007\pi\) |
0.913110 | + | 0.407714i | \(0.133674\pi\) | |||||||
\(500\) | −6.91595 | − | 8.78462i | −0.309291 | − | 0.392860i | ||||
\(501\) | 11.7844 | + | 10.0851i | 0.526486 | + | 0.450570i | ||||
\(502\) | −24.4800 | − | 6.55940i | −1.09260 | − | 0.292760i | ||||
\(503\) | −33.4545 | − | 8.96410i | −1.49166 | − | 0.399690i | −0.581364 | − | 0.813644i | \(-0.697481\pi\) |
−0.910298 | + | 0.413954i | \(0.864147\pi\) | |||||||
\(504\) | −11.0038 | − | 4.24915i | −0.490148 | − | 0.189272i | ||||
\(505\) | 6.75765 | + | 29.8947i | 0.300711 | + | 1.33030i | ||||
\(506\) | −0.782627 | − | 0.451850i | −0.0347920 | − | 0.0200872i | ||||
\(507\) | 0.346292 | + | 4.45684i | 0.0153794 | + | 0.197935i | ||||
\(508\) | −1.01471 | + | 3.78694i | −0.0450204 | + | 0.168018i | ||||
\(509\) | −8.15621 | + | 14.1270i | −0.361518 | + | 0.626167i | −0.988211 | − | 0.153099i | \(-0.951075\pi\) |
0.626693 | + | 0.779266i | \(0.284408\pi\) | |||||||
\(510\) | 4.84398 | + | 15.6673i | 0.214495 | + | 0.693761i | ||||
\(511\) | 53.5299 | 2.36802 | ||||||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 16.8209 | − | 15.8671i | 0.742662 | − | 0.700551i | ||||
\(514\) | 4.06042 | + | 2.34429i | 0.179098 | + | 0.103402i | ||||
\(515\) | −28.3029 | + | 14.8830i | −1.24717 | + | 0.655823i | ||||
\(516\) | 3.47069 | − | 4.05547i | 0.152789 | − | 0.178532i | ||||
\(517\) | 0.428917 | + | 1.60074i | 0.0188638 | + | 0.0704005i | ||||
\(518\) | −0.207082 | − | 0.772840i | −0.00909866 | − | 0.0339567i | ||||
\(519\) | 1.43143 | + | 0.266775i | 0.0628327 | + | 0.0117101i | ||||
\(520\) | 2.61922 | − | 8.42878i | 0.114860 | − | 0.369626i | ||||
\(521\) | 6.84869 | − | 3.95409i | 0.300046 | − | 0.173232i | −0.342417 | − | 0.939548i | \(-0.611246\pi\) |
0.642464 | + | 0.766316i | \(0.277912\pi\) | |||||||
\(522\) | −1.67901 | + | 15.6741i | −0.0734885 | + | 0.686037i | ||||
\(523\) | 11.5676 | + | 11.5676i | 0.505817 | + | 0.505817i | 0.913240 | − | 0.407423i | \(-0.133572\pi\) |
−0.407423 | + | 0.913240i | \(0.633572\pi\) | |||||||
\(524\) | 2.77304 | + | 4.80305i | 0.121141 | + | 0.209822i | ||||
\(525\) | 8.86020 | − | 32.8784i | 0.386691 | − | 1.43493i | ||||
\(526\) | 7.69331 | 0.335444 | ||||||||
\(527\) | 23.5433 | − | 1.22427i | 1.02556 | − | 0.0533300i | ||||
\(528\) | −0.371993 | + | 0.255118i | −0.0161889 | + | 0.0111026i | ||||
\(529\) | 10.9585i | 0.476455i | ||||||||
\(530\) | 3.08442 | − | 9.92584i | 0.133979 | − | 0.431151i | ||||
\(531\) | −8.96972 | + | 23.2284i | −0.389253 | + | 1.00803i | ||||
\(532\) | −4.52873 | − | 16.9014i | −0.196345 | − | 0.732770i | ||||
\(533\) | −43.1508 | − | 11.5622i | −1.86907 | − | 0.500815i | ||||
\(534\) | 26.4574 | − | 9.33937i | 1.14492 | − | 0.404154i | ||||
\(535\) | −0.0870014 | + | 2.20212i | −0.00376140 | + | 0.0952061i | ||||
\(536\) | 12.8496 | + | 7.41870i | 0.555017 | + | 0.320439i | ||||
\(537\) | −32.5352 | + | 2.52795i | −1.40400 | + | 0.109089i | ||||
\(538\) | 8.67087 | − | 2.32335i | 0.373828 | − | 0.100167i | ||||
\(539\) | −1.10158 | − | 1.90799i | −0.0474484 | − | 0.0821831i | ||||
\(540\) | −5.10548 | − | 10.4372i | −0.219705 | − | 0.449143i | ||||
\(541\) | 12.3963 | + | 21.4710i | 0.532958 | + | 0.923110i | 0.999259 | + | 0.0384839i | \(0.0122528\pi\) |
−0.466302 | + | 0.884626i | \(0.654414\pi\) | |||||||
\(542\) | −17.3047 | − | 17.3047i | −0.743301 | − | 0.743301i | ||||
\(543\) | 2.80228 | + | 4.08607i | 0.120258 | + | 0.175350i | ||||
\(544\) | 3.66694 | − | 2.11711i | 0.157219 | − | 0.0907704i | ||||
\(545\) | 8.15583 | + | 36.0800i | 0.349357 | + | 1.54550i | ||||
\(546\) | 25.3489 | − | 8.94810i | 1.08483 | − | 0.382943i | ||||
\(547\) | 4.86690 | + | 18.1635i | 0.208094 | + | 0.776616i | 0.988484 | + | 0.151324i | \(0.0483536\pi\) |
−0.780391 | + | 0.625292i | \(0.784980\pi\) | |||||||
\(548\) | 0.547817 | + | 2.04448i | 0.0234016 | + | 0.0873360i | ||||
\(549\) | −4.12269 | − | 5.11190i | −0.175952 | − | 0.218170i | ||||
\(550\) | −0.845233 | − | 0.990512i | −0.0360408 | − | 0.0422356i | ||||
\(551\) | −20.2510 | + | 11.6919i | −0.862723 | + | 0.498093i | ||||
\(552\) | −5.42230 | − | 2.59294i | −0.230788 | − | 0.110363i | ||||
\(553\) | −24.2136 | + | 6.48801i | −1.02967 | + | 0.275898i | ||||
\(554\) | −32.0174 | −1.36029 | ||||||||
\(555\) | 0.367804 | − | 0.697025i | 0.0156124 | − | 0.0295870i | ||||
\(556\) | −8.98460 | −0.381032 | ||||||||
\(557\) | −18.5856 | − | 18.5856i | −0.787496 | − | 0.787496i | 0.193587 | − | 0.981083i | \(-0.437988\pi\) |
−0.981083 | + | 0.193587i | \(0.937988\pi\) | |||||||
\(558\) | −16.3466 | + | 3.43360i | −0.692006 | + | 0.145356i | ||||
\(559\) | 12.1647i | 0.514512i | ||||||||
\(560\) | −8.78515 | − | 0.347083i | −0.371240 | − | 0.0146669i | ||||
\(561\) | 0.635753 | + | 1.80101i | 0.0268415 | + | 0.0760388i | ||||
\(562\) | 0.0253551 | − | 0.0253551i | 0.00106954 | − | 0.00106954i | ||||
\(563\) | −6.51191 | − | 24.3028i | −0.274444 | − | 1.02424i | −0.956213 | − | 0.292672i | \(-0.905456\pi\) |
0.681769 | − | 0.731568i | \(-0.261211\pi\) | |||||||
\(564\) | 3.66882 | + | 10.3933i | 0.154485 | + | 0.437638i | ||||
\(565\) | −18.0611 | − | 34.3466i | −0.759836 | − | 1.44497i | ||||
\(566\) | − | 27.6865i | − | 1.16375i | ||||||
\(567\) | 16.1910 | − | 31.4659i | 0.679958 | − | 1.32144i | ||||
\(568\) | −1.49501 | + | 0.400586i | −0.0627291 | + | 0.0168082i | ||||
\(569\) | 18.5120 | − | 32.0637i | 0.776063 | − | 1.34418i | −0.158132 | − | 0.987418i | \(-0.550547\pi\) |
0.934195 | − | 0.356763i | \(-0.116120\pi\) | |||||||
\(570\) | 8.04359 | − | 15.2434i | 0.336909 | − | 0.638476i | ||||
\(571\) | 21.6539 | − | 37.5056i | 0.906186 | − | 1.56956i | 0.0868683 | − | 0.996220i | \(-0.472314\pi\) |
0.819317 | − | 0.573340i | \(-0.194353\pi\) | |||||||
\(572\) | 0.266058 | − | 0.992941i | 0.0111244 | − | 0.0415169i | ||||
\(573\) | 4.89003 | − | 3.35365i | 0.204284 | − | 0.140101i | ||||
\(574\) | 44.4991i | 1.85736i | ||||||||
\(575\) | 5.79882 | − | 16.3527i | 0.241827 | − | 0.681957i | ||||
\(576\) | −2.33520 | + | 1.88331i | −0.0972999 | + | 0.0784712i | ||||
\(577\) | 22.6716 | + | 6.07484i | 0.943832 | + | 0.252899i | 0.697743 | − | 0.716348i | \(-0.254188\pi\) |
0.246089 | + | 0.969247i | \(0.420854\pi\) | |||||||
\(578\) | −0.240345 | − | 0.896980i | −0.00999704 | − | 0.0373095i | ||||
\(579\) | −17.8651 | − | 15.2891i | −0.742448 | − | 0.635392i | ||||
\(580\) | 2.59062 | + | 11.4605i | 0.107570 | + | 0.475870i | ||||
\(581\) | − | 19.8010i | − | 0.821484i | ||||||
\(582\) | −1.16215 | + | 2.43025i | −0.0481725 | + | 0.100737i | ||||
\(583\) | 0.313313 | − | 1.16930i | 0.0129761 | − | 0.0484275i | ||||
\(584\) | 6.80712 | − | 11.7903i | 0.281681 | − | 0.487885i | ||||
\(585\) | 24.3056 | + | 10.5062i | 1.00491 | + | 0.434379i | ||||
\(586\) | 13.3963 | + | 23.2030i | 0.553395 | + | 0.958508i | ||||
\(587\) | −13.7989 | − | 13.7989i | −0.569541 | − | 0.569541i | 0.362459 | − | 0.932000i | \(-0.381937\pi\) |
−0.932000 | + | 0.362459i | \(0.881937\pi\) | |||||||
\(588\) | −8.28746 | − | 12.0841i | −0.341769 | − | 0.498340i | ||||
\(589\) | −18.4066 | − | 16.5869i | −0.758429 | − | 0.683450i | ||||
\(590\) | −0.732673 | + | 18.5450i | −0.0301637 | + | 0.763484i | ||||
\(591\) | 0.0390375 | − | 0.209462i | 0.00160579 | − | 0.00861612i | ||||
\(592\) | −0.196556 | − | 0.0526671i | −0.00807841 | − | 0.00216460i | ||||
\(593\) | −11.9050 | + | 11.9050i | −0.488880 | + | 0.488880i | −0.907953 | − | 0.419072i | \(-0.862355\pi\) |
0.419072 | + | 0.907953i | \(0.362355\pi\) | |||||||
\(594\) | −0.642137 | − | 1.19115i | −0.0263472 | − | 0.0488734i | ||||
\(595\) | −11.0472 | + | 35.5504i | −0.452890 | + | 1.45742i | ||||
\(596\) | 1.50385 | − | 0.868246i | 0.0615999 | − | 0.0355647i | ||||
\(597\) | 16.3107 | − | 11.1861i | 0.667554 | − | 0.457818i | ||||
\(598\) | 13.2307 | − | 3.54514i | 0.541042 | − | 0.144972i | ||||
\(599\) | 14.1782 | − | 24.5573i | 0.579304 | − | 1.00338i | −0.416256 | − | 0.909248i | \(-0.636658\pi\) |
0.995559 | − | 0.0941358i | \(-0.0300088\pi\) | |||||||
\(600\) | −6.11495 | − | 6.13249i | −0.249642 | − | 0.250358i | ||||
\(601\) | −11.6264 | − | 20.1374i | −0.474249 | − | 0.821423i | 0.525316 | − | 0.850907i | \(-0.323947\pi\) |
−0.999565 | + | 0.0294837i | \(0.990614\pi\) | |||||||
\(602\) | 11.7045 | − | 3.13620i | 0.477038 | − | 0.127822i | ||||
\(603\) | −26.2354 | + | 35.9589i | −1.06839 | + | 1.46436i | ||||
\(604\) | 2.13775i | 0.0869837i | ||||||||
\(605\) | 16.5894 | + | 17.9542i | 0.674457 | + | 0.729942i | ||||
\(606\) | 7.90246 | + | 22.3867i | 0.321015 | + | 0.909399i | ||||
\(607\) | 2.03110 | + | 7.58016i | 0.0824397 | + | 0.307669i | 0.994817 | − | 0.101681i | \(-0.0324221\pi\) |
−0.912377 | + | 0.409350i | \(0.865755\pi\) | |||||||
\(608\) | −4.29854 | − | 1.15179i | −0.174329 | − | 0.0467113i | ||||
\(609\) | −23.2677 | + | 27.1881i | −0.942855 | + | 1.10172i | ||||
\(610\) | −4.13918 | − | 2.61289i | −0.167591 | − | 0.105793i | ||||
\(611\) | −21.7531 | − | 12.5592i | −0.880037 | − | 0.508090i | ||||
\(612\) | 5.14349 | + | 11.6147i | 0.207913 | + | 0.469498i | ||||
\(613\) | 0.570360 | − | 2.12861i | 0.0230366 | − | 0.0859739i | −0.953451 | − | 0.301550i | \(-0.902496\pi\) |
0.976487 | + | 0.215576i | \(0.0691628\pi\) | |||||||
\(614\) | 5.23823 | + | 9.07288i | 0.211398 | + | 0.366152i | ||||
\(615\) | −29.7924 | + | 32.1509i | −1.20135 | + | 1.29645i | ||||
\(616\) | −1.02397 | −0.0412568 | ||||||||
\(617\) | 12.5021 | − | 46.6586i | 0.503317 | − | 1.87840i | 0.0260192 | − | 0.999661i | \(-0.491717\pi\) |
0.477297 | − | 0.878742i | \(-0.341616\pi\) | |||||||
\(618\) | −20.4273 | + | 14.0093i | −0.821705 | + | 0.563537i | ||||
\(619\) | − | 19.7493i | − | 0.793791i | −0.917864 | − | 0.396895i | \(-0.870088\pi\) | ||
0.917864 | − | 0.396895i | \(-0.129912\pi\) | |||||||
\(620\) | −10.7035 | + | 6.35888i | −0.429863 | + | 0.255379i | ||||
\(621\) | 9.46717 | − | 15.3458i | 0.379905 | − | 0.615807i | ||||
\(622\) | −14.0548 | + | 14.0548i | −0.563547 | + | 0.563547i | ||||
\(623\) | 61.5223 | + | 16.4849i | 2.46484 | + | 0.660452i | ||||
\(624\) | 1.25262 | − | 6.72114i | 0.0501449 | − | 0.269061i | ||||
\(625\) | 15.7499 | − | 19.4150i | 0.629996 | − | 0.776598i | ||||
\(626\) | 3.43423 | − | 1.98275i | 0.137259 | − | 0.0792467i | ||||
\(627\) | 0.865988 | − | 1.81093i | 0.0345842 | − | 0.0723217i | ||||
\(628\) | −10.5251 | − | 10.5251i | −0.419997 | − | 0.419997i | ||||
\(629\) | −0.430811 | + | 0.746186i | −0.0171776 | + | 0.0297524i | ||||
\(630\) | 3.84247 | − | 26.0946i | 0.153088 | − | 1.03963i | ||||
\(631\) | −3.73706 | + | 6.47277i | −0.148770 | + | 0.257677i | −0.930773 | − | 0.365597i | \(-0.880865\pi\) |
0.782003 | + | 0.623274i | \(0.214198\pi\) | |||||||
\(632\) | −1.65009 | + | 6.15823i | −0.0656372 | + | 0.244961i | ||||
\(633\) | 15.6371 | − | 1.21498i | 0.621519 | − | 0.0482913i | ||||
\(634\) | 8.16221 | − | 4.71245i | 0.324163 | − | 0.187155i | ||||
\(635\) | −8.75974 | − | 0.346079i | −0.347620 | − | 0.0137337i | ||||
\(636\) | 1.47510 | − | 7.91490i | 0.0584916 | − | 0.313846i | ||||
\(637\) | 32.2555 | + | 8.64283i | 1.27801 | + | 0.342441i | ||||
\(638\) | 0.354176 | + | 1.32180i | 0.0140219 | + | 0.0523306i | ||||
\(639\) | −0.717218 | − | 4.58751i | −0.0283727 | − | 0.181479i | ||||
\(640\) | −1.19361 | + | 1.89085i | −0.0471816 | + | 0.0747422i | ||||
\(641\) | −1.54921 | − | 0.894440i | −0.0611903 | − | 0.0353282i | 0.469093 | − | 0.883149i | \(-0.344581\pi\) |
−0.530283 | + | 0.847821i | \(0.677914\pi\) | |||||||
\(642\) | 0.132240 | + | 1.70196i | 0.00521911 | + | 0.0671710i | ||||
\(643\) | 14.7320 | + | 14.7320i | 0.580974 | + | 0.580974i | 0.935171 | − | 0.354197i | \(-0.115246\pi\) |
−0.354197 | + | 0.935171i | \(0.615246\pi\) | |||||||
\(644\) | −6.82203 | − | 11.8161i | −0.268826 | − | 0.465620i | ||||
\(645\) | 10.5563 | + | 5.57029i | 0.415652 | + | 0.219330i | ||||
\(646\) | −9.42151 | + | 16.3185i | −0.370684 | + | 0.642044i | ||||
\(647\) | −12.7257 | − | 12.7257i | −0.500298 | − | 0.500298i | 0.411233 | − | 0.911530i | \(-0.365098\pi\) |
−0.911530 | + | 0.411233i | \(0.865098\pi\) | |||||||
\(648\) | −4.87162 | − | 7.56752i | −0.191375 | − | 0.297280i | ||||
\(649\) | 2.16154i | 0.0848478i | ||||||||
\(650\) | 19.6748 | + | 1.55705i | 0.771710 | + | 0.0610727i | ||||
\(651\) | −35.0112 | − | 14.5597i | −1.37220 | − | 0.570639i | ||||
\(652\) | 6.55056 | − | 6.55056i | 0.256540 | − | 0.256540i | ||||
\(653\) | −14.0607 | + | 14.0607i | −0.550237 | + | 0.550237i | −0.926509 | − | 0.376272i | \(-0.877206\pi\) |
0.376272 | + | 0.926509i | \(0.377206\pi\) | |||||||
\(654\) | 9.53751 | + | 27.0186i | 0.372946 | + | 1.05651i | ||||
\(655\) | −9.10847 | + | 8.41611i | −0.355897 | + | 0.328845i | ||||
\(656\) | 9.80119 | + | 5.65872i | 0.382672 | + | 0.220936i | ||||
\(657\) | 32.9945 | + | 24.0726i | 1.28724 | + | 0.939160i | ||||
\(658\) | −6.47580 | + | 24.1680i | −0.252453 | + | 0.942167i | ||||
\(659\) | 11.6213 | 0.452703 | 0.226352 | − | 0.974046i | \(-0.427320\pi\) | ||||
0.226352 | + | 0.974046i | \(0.427320\pi\) | |||||||
\(660\) | −0.739823 | − | 0.685553i | −0.0287976 | − | 0.0266851i | ||||
\(661\) | −2.90630 | + | 5.03386i | −0.113042 | + | 0.195794i | −0.916995 | − | 0.398898i | \(-0.869393\pi\) |
0.803953 | + | 0.594692i | \(0.202726\pi\) | |||||||
\(662\) | −1.20769 | + | 0.323599i | −0.0469381 | + | 0.0125770i | ||||
\(663\) | −26.1163 | − | 12.4888i | −1.01427 | − | 0.485025i | ||||
\(664\) | −4.36129 | − | 2.51799i | −0.169251 | − | 0.0977170i | ||||
\(665\) | 34.6299 | − | 18.2101i | 1.34289 | − | 0.706157i | ||||
\(666\) | 0.219909 | − | 0.569486i | 0.00852129 | − | 0.0220671i | ||||
\(667\) | −12.8933 | + | 12.8933i | −0.499232 | + | 0.499232i | ||||
\(668\) | 8.64995 | + | 2.31775i | 0.334676 | + | 0.0896763i | ||||
\(669\) | −25.4724 | − | 21.7995i | −0.984821 | − | 0.842815i | ||||
\(670\) | −9.84538 | + | 31.6830i | −0.380360 | + | 1.22402i | ||||
\(671\) | −0.493711 | − | 0.285044i | −0.0190595 | − | 0.0110040i | ||||
\(672\) | −6.78979 | + | 0.527559i | −0.261922 | + | 0.0203510i | ||||
\(673\) | 23.7356 | − | 6.35992i | 0.914939 | − | 0.245157i | 0.229518 | − | 0.973304i | \(-0.426285\pi\) |
0.685421 | + | 0.728147i | \(0.259618\pi\) | |||||||
\(674\) | 30.6768 | 1.18163 | ||||||||
\(675\) | 20.2467 | − | 16.2810i | 0.779297 | − | 0.626655i | ||||
\(676\) | 1.29046 | + | 2.23514i | 0.0496330 | + | 0.0859669i | ||||
\(677\) | 4.51088 | − | 1.20869i | 0.173367 | − | 0.0464536i | −0.171091 | − | 0.985255i | \(-0.554729\pi\) |
0.344458 | + | 0.938802i | \(0.388063\pi\) | |||||||
\(678\) | −17.0008 | − | 24.7893i | −0.652914 | − | 0.952027i | ||||
\(679\) | −5.29594 | + | 3.05761i | −0.203240 | + | 0.117340i | ||||
\(680\) | 6.42538 | + | 6.95397i | 0.246402 | + | 0.266672i | ||||
\(681\) | 6.65402 | − | 35.7032i | 0.254982 | − | 1.36815i | ||||
\(682\) | −1.21638 | + | 0.789226i | −0.0465777 | + | 0.0302210i | ||||
\(683\) | −18.5960 | + | 18.5960i | −0.711554 | + | 0.711554i | −0.966860 | − | 0.255306i | \(-0.917824\pi\) |
0.255306 | + | 0.966860i | \(0.417824\pi\) | |||||||
\(684\) | 4.80924 | − | 12.4542i | 0.183886 | − | 0.476199i | ||||
\(685\) | −4.18901 | + | 2.20278i | −0.160054 | + | 0.0841640i | ||||
\(686\) | − | 5.74003i | − | 0.219155i | ||||||
\(687\) | −0.402080 | − | 5.17486i | −0.0153403 | − | 0.197433i | ||||
\(688\) | 0.797629 | − | 2.97679i | 0.0304093 | − | 0.113489i | ||||
\(689\) | 9.17415 | + | 15.8901i | 0.349507 | + | 0.605364i | ||||
\(690\) | 2.98200 | − | 13.1046i | 0.113523 | − | 0.498884i | ||||
\(691\) | −19.5164 | + | 33.8034i | −0.742439 | + | 1.28594i | 0.208943 | + | 0.977928i | \(0.432998\pi\) |
−0.951382 | + | 0.308014i | \(0.900336\pi\) | |||||||
\(692\) | 0.812020 | − | 0.217580i | 0.0308684 | − | 0.00827115i | ||||
\(693\) | 0.327191 | − | 3.05443i | 0.0124290 | − | 0.116028i | ||||
\(694\) | 15.4756 | − | 8.93483i | 0.587445 | − | 0.339161i | ||||
\(695\) | −4.42959 | − | 19.5958i | −0.168024 | − | 0.743310i | ||||
\(696\) | 3.02950 | + | 8.58222i | 0.114833 | + | 0.325308i | ||||
\(697\) | 33.8849 | − | 33.8849i | 1.28348 | − | 1.28348i | ||||
\(698\) | 3.90765 | − | 3.90765i | 0.147907 | − | 0.147907i | ||||
\(699\) | −12.7872 | − | 36.2248i | −0.483658 | − | 1.37015i | ||||
\(700\) | −3.57425 | − | 19.3319i | −0.135094 | − | 0.730676i | ||||
\(701\) | 30.4055 | − | 17.5547i | 1.14840 | − | 0.663030i | 0.199904 | − | 0.979815i | \(-0.435937\pi\) |
0.948497 | + | 0.316785i | \(0.102604\pi\) | |||||||
\(702\) | 19.6485 | + | 5.88411i | 0.741583 | + | 0.222081i | ||||
\(703\) | 0.874710 | − | 0.234378i | 0.0329903 | − | 0.00883973i | ||||
\(704\) | −0.130213 | + | 0.225535i | −0.00490757 | + | 0.00850017i | ||||
\(705\) | −20.8595 | + | 13.1259i | −0.785612 | + | 0.494352i | ||||
\(706\) | 9.47881 | + | 16.4178i | 0.356740 | + | 0.617891i | ||||
\(707\) | −13.9486 | + | 52.0568i | −0.524590 | + | 1.95780i | ||||
\(708\) | 1.11365 | + | 14.3329i | 0.0418534 | + | 0.538662i | ||||
\(709\) | 26.4736i | 0.994236i | 0.867683 | + | 0.497118i | \(0.165608\pi\) | ||||
−0.867683 | + | 0.497118i | \(0.834392\pi\) | |||||||
\(710\) | −1.61076 | − | 3.06317i | −0.0604508 | − | 0.114959i | ||||
\(711\) | −17.8423 | − | 6.88988i | −0.669140 | − | 0.258391i | ||||
\(712\) | 11.4544 | − | 11.4544i | 0.429271 | − | 0.429271i | ||||
\(713\) | −17.2113 | − | 8.77838i | −0.644567 | − | 0.328753i | ||||
\(714\) | −5.28323 | + | 28.3480i | −0.197720 | + | 1.06090i | ||||
\(715\) | 2.29681 | + | 0.0907424i | 0.0858960 | + | 0.00339357i | ||||
\(716\) | −16.3166 | + | 9.42040i | −0.609781 | + | 0.352057i | ||||
\(717\) | 28.3430 | + | 41.3276i | 1.05849 | + | 1.54341i | ||||
\(718\) | 30.6442 | − | 8.21108i | 1.14363 | − | 0.306435i | ||||
\(719\) | 17.1054 | + | 29.6274i | 0.637923 | + | 1.10492i | 0.985888 | + | 0.167408i | \(0.0535397\pi\) |
−0.347964 | + | 0.937508i | \(0.613127\pi\) | |||||||
\(720\) | −5.25887 | − | 4.16465i | −0.195987 | − | 0.155207i | ||||
\(721\) | −56.2291 | −2.09408 | ||||||||
\(722\) | 0.776665 | − | 0.208107i | 0.0289045 | − | 0.00774493i | ||||
\(723\) | −25.1713 | + | 1.95578i | −0.936131 | + | 0.0727363i | ||||
\(724\) | 2.47733 | + | 1.43029i | 0.0920694 | + | 0.0531563i | ||||
\(725\) | −23.7185 | + | 11.3005i | −0.880884 | + | 0.419690i | ||||
\(726\) | 14.3861 | + | 12.3117i | 0.533918 | + | 0.456930i | ||||
\(727\) | 19.4715 | + | 5.21737i | 0.722157 | + | 0.193501i | 0.601134 | − | 0.799148i | \(-0.294716\pi\) |
0.121023 | + | 0.992650i | \(0.461382\pi\) | |||||||
\(728\) | 10.9745 | − | 10.9745i | 0.406742 | − | 0.406742i | ||||
\(729\) | 24.1301 | − | 12.1136i | 0.893706 | − | 0.448654i | ||||
\(730\) | 29.0711 | + | 9.03375i | 1.07597 | + | 0.334354i | ||||
\(731\) | −11.3008 | − | 6.52452i | −0.417975 | − | 0.241318i | ||||
\(732\) | −3.42059 | − | 1.63572i | −0.126429 | − | 0.0604581i | ||||
\(733\) | −33.8859 | + | 9.07969i | −1.25160 | + | 0.335366i | −0.822956 | − | 0.568105i | \(-0.807677\pi\) |
−0.428648 | + | 0.903472i | \(0.641010\pi\) | |||||||
\(734\) | 6.03023 | − | 10.4447i | 0.222580 | − | 0.385519i | ||||
\(735\) | 22.2700 | − | 24.0330i | 0.821443 | − | 0.886470i | ||||
\(736\) | −3.47009 | −0.127909 | ||||||||
\(737\) | −1.00009 | + | 3.73237i | −0.0368386 | + | 0.137484i | ||||
\(738\) | −20.0114 | + | 27.4282i | −0.736630 | + | 1.00964i | ||||
\(739\) | −2.62763 | − | 1.51706i | −0.0966590 | − | 0.0558061i | 0.450891 | − | 0.892579i | \(-0.351106\pi\) |
−0.547550 | + | 0.836773i | \(0.684440\pi\) | |||||||
\(740\) | 0.0179628 | − | 0.454663i | 0.000660325 | − | 0.0167137i | ||||
\(741\) | 10.1276 | + | 28.6902i | 0.372045 | + | 1.05396i | ||||
\(742\) | 12.9237 | − | 12.9237i | 0.474444 | − | 0.474444i | ||||
\(743\) | −6.64399 | + | 6.64399i | −0.243744 | + | 0.243744i | −0.818397 | − | 0.574653i | \(-0.805137\pi\) |
0.574653 | + | 0.818397i | \(0.305137\pi\) | |||||||
\(744\) | −7.65905 | + | 5.85994i | −0.280794 | + | 0.214836i | ||||
\(745\) | 2.63510 | + | 2.85188i | 0.0965428 | + | 0.104485i | ||||
\(746\) | − | 8.09567i | − | 0.296404i | ||||||
\(747\) | 8.90458 | − | 12.2049i | 0.325802 | − | 0.446553i | ||||
\(748\) | 0.779725 | + | 0.779725i | 0.0285096 | + | 0.0285096i | ||||
\(749\) | −1.93762 | + | 3.35605i | −0.0707990 | + | 0.122628i | ||||
\(750\) | 10.3604 | − | 16.3604i | 0.378308 | − | 0.597397i | ||||
\(751\) | −16.7324 | − | 28.9814i | −0.610576 | − | 1.05755i | −0.991144 | − | 0.132795i | \(-0.957605\pi\) |
0.380568 | − | 0.924753i | \(-0.375729\pi\) | |||||||
\(752\) | 4.49966 | + | 4.49966i | 0.164086 | + | 0.164086i | ||||
\(753\) | −3.40045 | − | 43.7645i | −0.123919 | − | 1.59487i | ||||
\(754\) | −17.9625 | − | 10.3706i | −0.654155 | − | 0.377677i | ||||
\(755\) | −4.66251 | + | 1.05395i | −0.169686 | + | 0.0383573i | ||||
\(756\) | 0.595886 | − | 20.4221i | 0.0216721 | − | 0.742744i | ||||
\(757\) | 6.22167 | + | 23.2196i | 0.226131 | + | 0.843931i | 0.981948 | + | 0.189149i | \(0.0605728\pi\) |
−0.755818 | + | 0.654782i | \(0.772761\pi\) | |||||||
\(758\) | −17.0259 | − | 4.56207i | −0.618408 | − | 0.165702i | ||||
\(759\) | 0.286779 | − | 1.53876i | 0.0104094 | − | 0.0558534i | ||||
\(760\) | 0.392833 | − | 9.94314i | 0.0142495 | − | 0.360676i | ||||
\(761\) | 2.83289 | − | 1.63557i | 0.102692 | − | 0.0592893i | −0.447774 | − | 0.894147i | \(-0.647783\pi\) |
0.550466 | + | 0.834857i | \(0.314450\pi\) | |||||||
\(762\) | −6.77015 | + | 0.526033i | −0.245257 | + | 0.0190562i | ||||
\(763\) | −16.8346 | + | 62.8275i | −0.609453 | + | 2.27451i | ||||
\(764\) | 1.71171 | − | 2.96477i | 0.0619275 | − | 0.107262i | ||||
\(765\) | −22.7963 | + | 16.9445i | −0.824204 | + | 0.612628i | ||||
\(766\) | 19.0616 | − | 33.0156i | 0.688723 | − | 1.19290i | ||||
\(767\) | −23.1665 | − | 23.1665i | −0.836495 | − | 0.836495i | ||||
\(768\) | −0.747225 | + | 1.56258i | −0.0269632 | + | 0.0563847i | ||||
\(769\) | −16.4357 | + | 9.48913i | −0.592685 | + | 0.342187i | −0.766159 | − | 0.642652i | \(-0.777834\pi\) |
0.173473 | + | 0.984839i | \(0.444501\pi\) | |||||||
\(770\) | −0.504836 | − | 2.23331i | −0.0181930 | − | 0.0804830i | ||||
\(771\) | −1.48786 | + | 7.98338i | −0.0535841 | + | 0.287515i | ||||
\(772\) | −13.1133 | − | 3.51371i | −0.471959 | − | 0.126461i | ||||
\(773\) | 11.5049 | − | 11.5049i | 0.413801 | − | 0.413801i | −0.469260 | − | 0.883060i | \(-0.655479\pi\) |
0.883060 | + | 0.469260i | \(0.155479\pi\) | |||||||
\(774\) | 8.62471 | + | 3.33046i | 0.310009 | + | 0.119711i | ||||
\(775\) | −19.1460 | − | 20.2097i | −0.687744 | − | 0.725953i | ||||
\(776\) | 1.55528i | 0.0558314i | ||||||||
\(777\) | 1.14287 | − | 0.783798i | 0.0410003 | − | 0.0281186i | ||||
\(778\) | 3.55109 | − | 13.2528i | 0.127313 | − | 0.475138i | ||||
\(779\) | −50.3646 | −1.80450 | ||||||||
\(780\) | 15.2766 | − | 0.581643i | 0.546991 | − | 0.0208262i | ||||
\(781\) | −0.201536 | − | 0.349070i | −0.00721152 | − | 0.0124907i | ||||
\(782\) | −3.80286 | + | 14.1925i | −0.135990 | + | 0.507522i | ||||
\(783\) | −26.5682 | + | 6.29450i | −0.949471 | + | 0.224947i | ||||
\(784\) | −7.32645 | − | 4.22993i | −0.261659 | − | 0.151069i | ||||
\(785\) | 17.7666 | − | 28.1447i | 0.634116 | − | 1.00453i | ||||
\(786\) | −6.24594 | + | 7.29831i | −0.222785 | + | 0.260322i | ||||
\(787\) | −15.7808 | − | 4.22846i | −0.562526 | − | 0.150728i | −0.0336594 | − | 0.999433i | \(-0.510716\pi\) |
−0.528867 | + | 0.848705i | \(0.677383\pi\) | |||||||
\(788\) | −0.0318387 | − | 0.118824i | −0.00113421 | − | 0.00423292i | ||||
\(789\) | 4.43552 | + | 12.5653i | 0.157909 | + | 0.447337i | ||||
\(790\) | −14.2449 | − | 0.562786i | −0.506810 | − | 0.0200230i | ||||
\(791\) | − | 68.2363i | − | 2.42620i | ||||||
\(792\) | −0.631149 | − | 0.460482i | −0.0224269 | − | 0.0163625i | ||||
\(793\) | 8.34639 | − | 2.23641i | 0.296389 | − | 0.0794172i | ||||
\(794\) | −14.8009 | − | 25.6360i | −0.525266 | − | 0.909787i | ||||
\(795\) | 17.9900 | − | 0.684950i | 0.638038 | − | 0.0242927i | ||||
\(796\) | 5.70942 | − | 9.88901i | 0.202365 | − | 0.350507i | ||||
\(797\) | −18.0930 | + | 4.84801i | −0.640887 | + | 0.171725i | −0.564605 | − | 0.825361i | \(-0.690972\pi\) |
−0.0762819 | + | 0.997086i | \(0.524305\pi\) | |||||||
\(798\) | 24.9938 | − | 17.1411i | 0.884769 | − | 0.606787i | ||||
\(799\) | 23.3345 | − | 13.4722i | 0.825515 | − | 0.476611i | ||||
\(800\) | −4.71248 | − | 1.67108i | −0.166611 | − | 0.0590818i | ||||
\(801\) | 30.5076 | + | 37.8277i | 1.07793 | + | 1.33658i | ||||
\(802\) | −16.6089 | + | 16.6089i | −0.586481 | + | 0.586481i | ||||
\(803\) | 3.42468 | + | 0.917641i | 0.120854 | + | 0.0323828i | ||||
\(804\) | −4.70848 | + | 25.2641i | −0.166055 | + | 0.890997i | ||||
\(805\) | 22.4080 | − | 20.7047i | 0.789778 | − | 0.729745i | ||||
\(806\) | 4.57810 | − | 21.4953i | 0.161257 | − | 0.757141i | ||||
\(807\) | 8.79381 | + | 12.8224i | 0.309557 | + | 0.451371i | ||||
\(808\) | 9.69205 | + | 9.69205i | 0.340965 | + | 0.340965i | ||||
\(809\) | 7.07834 | + | 12.2601i | 0.248861 | + | 0.431040i | 0.963210 | − | 0.268749i | \(-0.0866103\pi\) |
−0.714349 | + | 0.699790i | \(0.753277\pi\) | |||||||
\(810\) | 14.1032 | − | 14.3561i | 0.495538 | − | 0.504423i | ||||
\(811\) | −16.6227 | + | 28.7914i | −0.583703 | + | 1.01100i | 0.411333 | + | 0.911485i | \(0.365063\pi\) |
−0.995036 | + | 0.0995175i | \(0.968270\pi\) | |||||||
\(812\) | −5.34735 | + | 19.9566i | −0.187655 | + | 0.700338i | ||||
\(813\) | 18.2865 | − | 38.2403i | 0.641336 | − | 1.34115i | ||||
\(814\) | − | 0.0529940i | − | 0.00185744i | ||||||
\(815\) | 17.5166 | + | 11.0575i | 0.613579 | + | 0.387326i | ||||
\(816\) | 5.57198 | + | 4.76853i | 0.195058 | + | 0.166932i | ||||
\(817\) | 3.54959 | + | 13.2473i | 0.124184 | + | 0.463463i | ||||
\(818\) | −35.7520 | − | 9.57971i | −1.25004 | − | 0.334947i | ||||
\(819\) | 29.2295 | + | 36.2429i | 1.02136 | + | 1.26643i | ||||
\(820\) | −7.50971 | + | 24.1666i | −0.262250 | + | 0.843936i | ||||
\(821\) | 15.7116i | 0.548339i | 0.961681 | + | 0.274169i | \(0.0884029\pi\) | ||||
−0.961681 | + | 0.274169i | \(0.911597\pi\) | |||||||
\(822\) | −3.02337 | + | 2.07347i | −0.105452 | + | 0.0723206i | ||||
\(823\) | −11.6952 | + | 43.6471i | −0.407669 | + | 1.52144i | 0.391409 | + | 0.920217i | \(0.371988\pi\) |
−0.799079 | + | 0.601226i | \(0.794679\pi\) | |||||||
\(824\) | −7.15037 | + | 12.3848i | −0.249095 | + | 0.431445i | ||||
\(825\) | 1.13047 | − | 1.95157i | 0.0393579 | − | 0.0679451i | ||||
\(826\) | −16.3175 | + | 28.2627i | −0.567757 | + | 0.983384i | ||||
\(827\) | −36.4686 | + | 9.77174i | −1.26814 | + | 0.339797i | −0.829317 | − | 0.558778i | \(-0.811270\pi\) |
−0.438821 | + | 0.898575i | \(0.644604\pi\) | |||||||
\(828\) | 1.10881 | − | 10.3511i | 0.0385337 | − | 0.359724i | ||||
\(829\) | − | 47.2497i | − | 1.64105i | −0.571611 | − | 0.820525i | \(-0.693681\pi\) | ||
0.571611 | − | 0.820525i | \(-0.306319\pi\) | |||||||
\(830\) | 3.34164 | − | 10.7536i | 0.115990 | − | 0.373262i | ||||
\(831\) | −18.4594 | − | 52.2933i | −0.640349 | − | 1.81403i | ||||
\(832\) | −1.02163 | − | 3.81277i | −0.0354186 | − | 0.132184i | ||||
\(833\) | −25.3292 | + | 25.3292i | −0.877605 | + | 0.877605i | ||||
\(834\) | −5.18001 | − | 14.6744i | −0.179369 | − | 0.508132i | ||||
\(835\) | −0.790497 | + | 20.0086i | −0.0273563 | + | 0.692425i | ||||
\(836\) | − | 1.15894i | − | 0.0400827i | ||||||
\(837\) | −15.0325 | − | 24.7189i | −0.519600 | − | 0.854410i | ||||
\(838\) | −17.5216 | − | 17.5216i | −0.605273 | − | 0.605273i | ||||
\(839\) | 28.9385 | 0.999066 | 0.499533 | − | 0.866295i | \(-0.333505\pi\) | ||||
0.499533 | + | 0.866295i | \(0.333505\pi\) | |||||||
\(840\) | −4.49813 | − | 14.5487i | −0.155200 | − | 0.501978i | ||||
\(841\) | −1.38923 | −0.0479043 | ||||||||
\(842\) | 22.9627 | − | 6.15283i | 0.791346 | − | 0.212040i | ||||
\(843\) | 0.0560302 | + | 0.0267936i | 0.00192978 | + | 0.000922822i | ||||
\(844\) | 7.84211 | − | 4.52765i | 0.269937 | − | 0.155848i | ||||
\(845\) | −4.23870 | + | 3.91651i | −0.145816 | + | 0.134732i | ||||
\(846\) | −14.8600 | + | 11.9844i | −0.510896 | + | 0.412032i | ||||
\(847\) | 11.1251 | + | 41.5196i | 0.382265 | + | 1.42663i | ||||
\(848\) | −1.20308 | − | 4.48997i | −0.0413140 | − | 0.154186i | ||||
\(849\) | 45.2198 | − | 15.9625i | 1.55194 | − | 0.547830i | ||||
\(850\) | −11.9990 | + | 17.4424i | −0.411563 | + | 0.598271i | ||||
\(851\) | 0.611526 | − | 0.353065i | 0.0209628 | − | 0.0121029i | ||||
\(852\) | −1.51620 | − | 2.21081i | −0.0519443 | − | 0.0757410i | ||||
\(853\) | −3.29501 | − | 3.29501i | −0.112819 | − | 0.112819i | 0.648444 | − | 0.761263i | \(-0.275420\pi\) |
−0.761263 | + | 0.648444i | \(0.775420\pi\) | |||||||
\(854\) | −4.30360 | − | 7.45405i | −0.147266 | − | 0.255072i | ||||
\(855\) | 29.5342 | + | 4.34895i | 1.01005 | + | 0.148731i | ||||
\(856\) | 0.492794 | + | 0.853544i | 0.0168434 | + | 0.0291735i | ||||
\(857\) | −38.2009 | + | 10.2359i | −1.30492 | + | 0.349651i | −0.843307 | − | 0.537432i | \(-0.819394\pi\) |
−0.461609 | + | 0.887083i | \(0.652728\pi\) | |||||||
\(858\) | 1.77514 | − | 0.137927i | 0.0606024 | − | 0.00470873i | ||||
\(859\) | 13.5146 | + | 7.80266i | 0.461113 | + | 0.266223i | 0.712512 | − | 0.701660i | \(-0.247557\pi\) |
−0.251399 | + | 0.967883i | \(0.580891\pi\) | |||||||
\(860\) | 6.88575 | + | 0.272042i | 0.234802 | + | 0.00927655i | ||||
\(861\) | −72.6794 | + | 25.6556i | −2.47691 | + | 0.874341i | ||||
\(862\) | −7.50846 | − | 2.01189i | −0.255739 | − | 0.0685251i | ||||
\(863\) | 11.2748 | + | 42.0783i | 0.383800 | + | 1.43236i | 0.840049 | + | 0.542510i | \(0.182526\pi\) |
−0.456249 | + | 0.889852i | \(0.650807\pi\) | |||||||
\(864\) | −4.42231 | − | 2.72822i | −0.150450 | − | 0.0928159i | ||||
\(865\) | 0.874893 | + | 1.66378i | 0.0297472 | + | 0.0565701i | ||||
\(866\) | 28.2039i | 0.958408i | ||||||||
\(867\) | 1.32645 | − | 0.909698i | 0.0450486 | − | 0.0308950i | ||||
\(868\) | −21.8624 | + | 1.13686i | −0.742057 | + | 0.0385875i | ||||
\(869\) | −1.66033 | −0.0563230 | ||||||||
\(870\) | −17.2245 | + | 10.8387i | −0.583967 | + | 0.367465i | ||||
\(871\) | −29.2836 | − | 50.7207i | −0.992237 | − | 1.71860i | ||||
\(872\) | 11.6974 | + | 11.6974i | 0.396123 | + | 0.396123i | ||||
\(873\) | −4.63931 | − | 0.496964i | −0.157017 | − | 0.0168197i | ||||
\(874\) | 13.3736 | − | 7.72126i | 0.452369 | − | 0.261176i | ||||
\(875\) | 40.4014 | − | 17.3266i | 1.36582 | − | 0.585746i | ||||
\(876\) | 23.1814 | + | 4.32032i | 0.783227 | + | 0.145970i | ||||
\(877\) | 5.42960 | + | 20.2635i | 0.183344 | + | 0.684251i | 0.994979 | + | 0.100085i | \(0.0319115\pi\) |
−0.811634 | + | 0.584166i | \(0.801422\pi\) | |||||||
\(878\) | 5.71684 | + | 21.3356i | 0.192934 | + | 0.720040i | ||||
\(879\) | −30.1735 | + | 35.2574i | −1.01773 | + | 1.18920i | ||||
\(880\) | −0.556098 | − | 0.172806i | −0.0187461 | − | 0.00582528i | ||||
\(881\) | 26.6525 | + | 15.3878i | 0.897944 | + | 0.518428i | 0.876533 | − | 0.481343i | \(-0.159851\pi\) |
0.0214113 | + | 0.999771i | \(0.493184\pi\) | |||||||
\(882\) | 14.9586 | − | 20.5027i | 0.503684 | − | 0.690363i | ||||
\(883\) | −7.40694 | − | 7.40694i | −0.249263 | − | 0.249263i | 0.571405 | − | 0.820668i | \(-0.306399\pi\) |
−0.820668 | + | 0.571405i | \(0.806399\pi\) | |||||||
\(884\) | −16.7136 | −0.562139 | ||||||||
\(885\) | −30.7115 | + | 9.49530i | −1.03236 | + | 0.319181i | ||||
\(886\) | 12.5971 | − | 21.8188i | 0.423207 | − | 0.733017i | ||||
\(887\) | −12.7797 | + | 47.6943i | −0.429099 | + | 1.60142i | 0.325707 | + | 0.945471i | \(0.394398\pi\) |
−0.754806 | + | 0.655948i | \(0.772269\pi\) | |||||||
\(888\) | −0.0273031 | − | 0.351396i | −0.000916231 | − | 0.0117921i | ||||
\(889\) | −13.3499 | − | 7.70757i | −0.447742 | − | 0.258504i | ||||
\(890\) | 30.6297 | + | 19.3352i | 1.02671 | + | 0.648117i | ||||
\(891\) | 1.57526 | − | 1.73554i | 0.0527732 | − | 0.0581427i | ||||
\(892\) | −18.6973 | − | 5.00992i | −0.626031 | − | 0.167744i | ||||
\(893\) | −27.3536 | − | 7.32939i | −0.915355 | − | 0.245269i | ||||
\(894\) | 2.28512 | + | 1.95562i | 0.0764258 | + | 0.0654057i | ||||
\(895\) | −28.5907 | − | 30.9427i | −0.955681 | − | 1.03430i | ||||
\(896\) | −3.40513 | + | 1.96595i | −0.113757 | + | 0.0656778i | ||||
\(897\) | 13.4182 | + | 19.5654i | 0.448022 | + | 0.653270i | ||||
\(898\) | 8.16869 | + | 8.16869i | 0.272593 | + | 0.272593i | ||||
\(899\) | 9.02941 | + | 27.8281i | 0.301148 | + | 0.928119i | ||||
\(900\) | 6.49053 | − | 13.5231i | 0.216351 | − | 0.450769i | ||||
\(901\) | −19.6822 | −0.655708 | ||||||||
\(902\) | −0.762830 | + | 2.84692i | −0.0253995 | + | 0.0947921i | ||||
\(903\) | 11.8704 | + | 17.3085i | 0.395023 | + | 0.575991i | ||||
\(904\) | −15.0294 | − | 8.67726i | −0.499872 | − | 0.288601i | ||||
\(905\) | −1.89814 | + | 6.10832i | −0.0630964 | + | 0.203048i | ||||
\(906\) | −3.49154 | + | 1.23250i | −0.115999 | + | 0.0409472i | ||||
\(907\) | −6.40291 | + | 6.40291i | −0.212605 | + | 0.212605i | −0.805373 | − | 0.592768i | \(-0.798035\pi\) |
0.592768 | + | 0.805373i | \(0.298035\pi\) | |||||||
\(908\) | −5.42697 | − | 20.2537i | −0.180100 | − | 0.672143i | ||||
\(909\) | −32.0077 | + | 25.8138i | −1.06163 | + | 0.856191i | ||||
\(910\) | 29.3464 | + | 18.5251i | 0.972825 | + | 0.614103i | ||||
\(911\) | 44.4529 | − | 25.6649i | 1.47279 | − | 0.850317i | 0.473260 | − | 0.880923i | \(-0.343077\pi\) |
0.999532 | + | 0.0306061i | \(0.00974375\pi\) | |||||||
\(912\) | −0.597098 | − | 7.68477i | −0.0197719 | − | 0.254468i | ||||
\(913\) | 0.339441 | − | 1.26681i | 0.0112338 | − | 0.0419253i | ||||
\(914\) | 23.0912 | 0.763789 | ||||||||
\(915\) | 1.88116 | − | 8.26688i | 0.0621892 | − | 0.273295i | ||||
\(916\) | −1.49835 | − | 2.59523i | −0.0495070 | − | 0.0857487i | ||||
\(917\) | −21.0636 | + | 5.64398i | −0.695582 | + | 0.186381i | ||||
\(918\) | −16.0047 | + | 15.0971i | −0.528232 | + | 0.498280i | ||||
\(919\) | 15.5763 | + | 8.99301i | 0.513816 | + | 0.296652i | 0.734401 | − | 0.678716i | \(-0.237463\pi\) |
−0.220585 | + | 0.975368i | \(0.570797\pi\) | |||||||
\(920\) | −1.71083 | − | 7.56841i | −0.0564043 | − | 0.249523i | ||||
\(921\) | −11.7985 | + | 13.7864i | −0.388773 | + | 0.454277i | ||||
\(922\) | −3.61913 | + | 3.61913i | −0.119190 | + | 0.119190i | ||||
\(923\) | 5.90119 | + | 1.58122i | 0.194240 | + | 0.0520465i | ||||
\(924\) | −0.590361 | − | 1.67242i | −0.0194214 | − | 0.0550187i | ||||
\(925\) | 1.00049 | − | 0.184980i | 0.0328960 | − | 0.00608212i | ||||
\(926\) | 18.4523i | 0.606381i | ||||||||
\(927\) | −34.6583 | − | 25.2864i | −1.13833 | − | 0.830515i | ||||
\(928\) | 3.71556 | + | 3.71556i | 0.121969 | + | 0.121969i | ||||
\(929\) | −59.3125 | −1.94598 | −0.972991 | − | 0.230844i | \(-0.925851\pi\) | ||||
−0.972991 | + | 0.230844i | \(0.925851\pi\) | |||||||
\(930\) | −16.5568 | − | 13.8156i | −0.542920 | − | 0.453032i | ||||
\(931\) | 37.6479 | 1.23386 | ||||||||
\(932\) | −15.6830 | − | 15.6830i | −0.513715 | − | 0.513715i | ||||
\(933\) | −31.0587 | − | 14.8522i | −1.01681 | − | 0.486240i | ||||
\(934\) | 4.36513i | 0.142831i | ||||||||
\(935\) | −1.31619 | + | 2.08503i | −0.0430440 | + | 0.0681878i | ||||
\(936\) | 11.6997 | − | 1.82915i | 0.382416 | − | 0.0597875i | ||||
\(937\) | 6.05658 | + | 1.62286i | 0.197860 | + | 0.0530164i | 0.356388 | − | 0.934338i | \(-0.384008\pi\) |
−0.158528 | + | 0.987354i | \(0.550675\pi\) | |||||||
\(938\) | −41.2521 | + | 41.2521i | −1.34693 | + | 1.34693i | ||||
\(939\) | 5.21836 | + | 4.46591i | 0.170295 | + | 0.145739i | ||||
\(940\) | −7.59551 | + | 12.0323i | −0.247738 | + | 0.392452i | ||||
\(941\) | −24.7350 | − | 14.2807i | −0.806336 | − | 0.465539i | 0.0393456 | − | 0.999226i | \(-0.487473\pi\) |
−0.845682 | + | 0.533687i | \(0.820806\pi\) | |||||||
\(942\) | 11.1223 | − | 23.2586i | 0.362383 | − | 0.757806i | ||||
\(943\) | −37.9344 | + | 10.1645i | −1.23531 | + | 0.331001i | ||||
\(944\) | 4.15001 | + | 7.18804i | 0.135071 | + | 0.233951i | ||||
\(945\) | 44.8351 | − | 8.76884i | 1.45849 | − | 0.285251i | ||||
\(946\) | 0.802580 | 0.0260941 | ||||||||
\(947\) | −11.0586 | + | 41.2713i | −0.359356 | + | 1.34114i | 0.515556 | + | 0.856856i | \(0.327585\pi\) |
−0.874913 | + | 0.484280i | \(0.839081\pi\) | |||||||
\(948\) | −11.0095 | + | 0.855422i | −0.357571 | + | 0.0277828i | ||||
\(949\) | −46.5394 | + | 26.8695i | −1.51073 | + | 0.872221i | ||||
\(950\) | 21.8800 | − | 4.04538i | 0.709882 | − | 0.131250i | ||||
\(951\) | 12.4026 | + | 10.6142i | 0.402182 | + | 0.344190i | ||||
\(952\) | 4.30896 | + | 16.0813i | 0.139654 | + | 0.521197i | ||||
\(953\) | 5.51805 | − | 5.51805i | 0.178747 | − | 0.178747i | −0.612062 | − | 0.790810i | \(-0.709660\pi\) |
0.790810 | + | 0.612062i | \(0.209660\pi\) | |||||||
\(954\) | 13.7777 | − | 2.15403i | 0.446069 | − | 0.0697392i | ||||
\(955\) | 7.31018 | + | 2.27161i | 0.236552 | + | 0.0735077i | ||||
\(956\) | 25.0564 | + | 14.4663i | 0.810383 | + | 0.467875i | ||||
\(957\) | −1.95467 | + | 1.34054i | −0.0631856 | + | 0.0433336i | ||||
\(958\) | −4.79519 | + | 17.8959i | −0.154926 | + | 0.578190i | ||||
\(959\) | −8.32228 | −0.268741 | ||||||||
\(960\) | −3.77644 | − | 0.859344i | −0.121884 | − | 0.0277352i | ||||
\(961\) | −25.0943 | + | 18.2010i | −0.809494 | + | 0.587128i | ||||
\(962\) | 0.567969 | + | 0.567969i | 0.0183121 | + | 0.0183121i | ||||
\(963\) | −2.70353 | + | 1.19724i | −0.0871201 | + | 0.0385804i | ||||
\(964\) | −12.6236 | + | 7.28823i | −0.406578 | + | 0.234738i | ||||
\(965\) | 1.19840 | − | 30.3330i | 0.0385777 | − | 0.976455i | ||||
\(966\) | 15.3658 | − | 17.9548i | 0.494387 | − | 0.577685i | ||||
\(967\) | −17.5987 | − | 4.71555i | −0.565935 | − | 0.151642i | −0.0355034 | − | 0.999370i | \(-0.511303\pi\) |
−0.530432 | + | 0.847728i | \(0.677970\pi\) | |||||||
\(968\) | 10.5597 | + | 2.82946i | 0.339401 | + | 0.0909422i | ||||
\(969\) | −32.0846 | − | 5.97962i | −1.03071 | − | 0.192093i | ||||
\(970\) | −3.39213 | + | 0.766786i | −0.108915 | + | 0.0246200i | ||||
\(971\) | 15.4636 | + | 8.92793i | 0.496251 | + | 0.286511i | 0.727164 | − | 0.686464i | \(-0.240838\pi\) |
−0.230913 | + | 0.972974i | \(0.574171\pi\) | |||||||
\(972\) | 9.55117 | − | 12.3197i | 0.306354 | − | 0.395155i | ||||
\(973\) | 9.14319 | − | 34.1229i | 0.293117 | − | 1.09393i | ||||
\(974\) | 9.07248 | − | 15.7140i | 0.290701 | − | 0.503509i | ||||
\(975\) | 8.80027 | + | 33.0322i | 0.281834 | + | 1.05788i | ||||
\(976\) | −2.18907 | −0.0700703 | ||||||||
\(977\) | 33.0354 | + | 33.0354i | 1.05690 | + | 1.05690i | 0.998281 | + | 0.0586159i | \(0.0186687\pi\) |
0.0586159 | + | 0.998281i | \(0.481331\pi\) | |||||||
\(978\) | 14.4756 | + | 6.92221i | 0.462877 | + | 0.221348i | ||||
\(979\) | 3.65342 | + | 2.10930i | 0.116764 | + | 0.0674137i | ||||
\(980\) | 5.61355 | − | 18.0647i | 0.179318 | − | 0.577056i | ||||
\(981\) | −38.6302 | + | 31.1548i | −1.23337 | + | 0.994696i | ||||
\(982\) | −1.96450 | − | 7.33163i | −0.0626898 | − | 0.233962i | ||||
\(983\) | −13.0795 | − | 48.8132i | −0.417170 | − | 1.55690i | −0.780449 | − | 0.625220i | \(-0.785009\pi\) |
0.363278 | − | 0.931681i | \(-0.381657\pi\) | |||||||
\(984\) | −3.59146 | + | 19.2706i | −0.114492 | + | 0.614323i | ||||
\(985\) | 0.243462 | − | 0.128024i | 0.00775734 | − | 0.00407918i | ||||
\(986\) | 19.2683 | − | 11.1246i | 0.613628 | − | 0.354278i | ||||
\(987\) | −43.2067 | + | 3.35711i | −1.37528 | + | 0.106858i | ||||
\(988\) | 12.4211 | + | 12.4211i | 0.395167 | + | 0.395167i | ||||
\(989\) | 5.34707 | + | 9.26140i | 0.170027 | + | 0.294495i | ||||
\(990\) | 0.693159 | − | 1.60359i | 0.0220300 | − | 0.0509653i | ||||
\(991\) | 25.2465 | 0.801981 | 0.400991 | − | 0.916082i | \(-0.368666\pi\) | ||||
0.400991 | + | 0.916082i | \(0.368666\pi\) | |||||||
\(992\) | −2.52973 | + | 4.95989i | −0.0803189 | + | 0.157477i | ||||
\(993\) | −1.22481 | − | 1.78592i | −0.0388682 | − | 0.0566745i | ||||
\(994\) | − | 6.08558i | − | 0.193023i | ||||||
\(995\) | 24.3832 | + | 7.57699i | 0.772998 | + | 0.240207i | ||||
\(996\) | 1.59811 | − | 8.57493i | 0.0506381 | − | 0.271707i | ||||
\(997\) | −3.66137 | − | 13.6644i | −0.115957 | − | 0.432757i | 0.883400 | − | 0.468620i | \(-0.155249\pi\) |
−0.999357 | + | 0.0358632i | \(0.988582\pi\) | |||||||
\(998\) | 25.3281 | + | 6.78664i | 0.801747 | + | 0.214827i | ||||
\(999\) | 1.05692 | + | 0.0308392i | 0.0334393 | + | 0.000975709i |
(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.bf.a.893.44 | yes | 256 | |
3.2 | odd | 2 | inner | 930.2.bf.a.893.17 | yes | 256 | |
5.2 | odd | 4 | inner | 930.2.bf.a.707.28 | yes | 256 | |
15.2 | even | 4 | inner | 930.2.bf.a.707.64 | yes | 256 | |
31.5 | even | 3 | inner | 930.2.bf.a.563.64 | yes | 256 | |
93.5 | odd | 6 | inner | 930.2.bf.a.563.28 | yes | 256 | |
155.67 | odd | 12 | inner | 930.2.bf.a.377.17 | ✓ | 256 | |
465.377 | even | 12 | inner | 930.2.bf.a.377.44 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bf.a.377.17 | ✓ | 256 | 155.67 | odd | 12 | inner | |
930.2.bf.a.377.44 | yes | 256 | 465.377 | even | 12 | inner | |
930.2.bf.a.563.28 | yes | 256 | 93.5 | odd | 6 | inner | |
930.2.bf.a.563.64 | yes | 256 | 31.5 | even | 3 | inner | |
930.2.bf.a.707.28 | yes | 256 | 5.2 | odd | 4 | inner | |
930.2.bf.a.707.64 | yes | 256 | 15.2 | even | 4 | inner | |
930.2.bf.a.893.17 | yes | 256 | 3.2 | odd | 2 | inner | |
930.2.bf.a.893.44 | yes | 256 | 1.1 | even | 1 | trivial |