Properties

Label 847.2.n.d.632.1
Level $847$
Weight $2$
Character 847.632
Analytic conductor $6.763$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [847,2,Mod(9,847)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(847, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([10, 18]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("847.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 847 = 7 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 847.n (of order \(15\), degree \(8\), not 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: \(6.76332905120\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(3\) over \(\Q(\zeta_{15})\)
Twist minimal: no (minimal twist has level 77)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 632.1
Character \(\chi\) \(=\) 847.632
Dual form 847.2.n.d.130.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.43643 - 0.517880i) q^{2} +(0.0745850 - 0.709629i) q^{3} +(3.84091 + 1.71008i) q^{4} +(1.47503 + 1.63819i) q^{5} +(-0.549224 + 1.69034i) q^{6} +(0.522062 + 2.59373i) q^{7} +(-4.44220 - 3.22745i) q^{8} +(2.43643 + 0.517880i) q^{9} +O(q^{10})\) \(q+(-2.43643 - 0.517880i) q^{2} +(0.0745850 - 0.709629i) q^{3} +(3.84091 + 1.71008i) q^{4} +(1.47503 + 1.63819i) q^{5} +(-0.549224 + 1.69034i) q^{6} +(0.522062 + 2.59373i) q^{7} +(-4.44220 - 3.22745i) q^{8} +(2.43643 + 0.517880i) q^{9} +(-2.74543 - 4.75523i) q^{10} +(1.50000 - 2.59808i) q^{12} +(1.01557 + 3.12561i) q^{13} +(0.0712722 - 6.58982i) q^{14} +(1.27252 - 0.924542i) q^{15} +(3.52511 + 3.91503i) q^{16} +(1.45828 - 0.309968i) q^{17} +(-5.66800 - 2.52356i) q^{18} +(6.31985 - 2.81378i) q^{19} +(2.86403 + 8.81457i) q^{20} +(1.87953 - 0.177017i) q^{21} +(-3.24543 + 5.62125i) q^{23} +(-2.62161 + 2.91160i) q^{24} +(0.0146981 - 0.139844i) q^{25} +(-0.855683 - 8.14128i) q^{26} +(1.21071 - 3.72618i) q^{27} +(-2.43031 + 10.8551i) q^{28} +(-1.33468 + 0.969699i) q^{29} +(-3.57922 + 1.59357i) q^{30} +(-1.57262 + 1.74658i) q^{31} +(-1.07031 - 1.85383i) q^{32} -3.71354 q^{34} +(-3.47897 + 4.68108i) q^{35} +(8.47250 + 6.15563i) q^{36} +(0.580619 + 5.52422i) q^{37} +(-16.8551 + 3.58266i) q^{38} +(2.29377 - 0.487556i) q^{39} +(-1.26522 - 12.0378i) q^{40} +(-9.10137 - 6.61254i) q^{41} +(-4.67101 - 0.542079i) q^{42} -5.26819 q^{43} +(2.74543 + 4.75523i) q^{45} +(10.8184 - 12.0151i) q^{46} +(1.36197 - 0.606389i) q^{47} +(3.04114 - 2.20952i) q^{48} +(-6.45490 + 2.70818i) q^{49} +(-0.108233 + 0.333107i) q^{50} +(-0.111196 - 1.05796i) q^{51} +(-1.44433 + 13.7419i) q^{52} +(0.203907 - 0.226462i) q^{53} +(-4.87953 + 8.45159i) q^{54} +(6.05203 - 13.2068i) q^{56} +(-1.52537 - 4.69462i) q^{57} +(3.75403 - 1.67140i) q^{58} +(-11.5643 - 5.14877i) q^{59} +(6.46869 - 1.37496i) q^{60} +(8.68647 + 9.64730i) q^{61} +(4.73611 - 3.44098i) q^{62} +(-0.0712722 + 6.58982i) q^{63} +(-1.60825 - 4.94968i) q^{64} +(-3.62234 + 6.27408i) q^{65} +(2.28646 + 3.96027i) q^{67} +(6.13121 + 1.30323i) q^{68} +(3.74694 + 2.72231i) q^{69} +(10.9005 - 9.60344i) q^{70} +(3.50016 - 10.7724i) q^{71} +(-9.15169 - 10.1640i) q^{72} +(7.82697 + 3.48479i) q^{73} +(1.44624 - 13.7601i) q^{74} +(-0.0981408 - 0.0208605i) q^{75} +29.0858 q^{76} -5.84111 q^{78} +(4.53027 + 0.962938i) q^{79} +(-1.21391 + 11.5496i) q^{80} +(4.27265 + 1.90230i) q^{81} +(18.7504 + 20.8244i) q^{82} +(0.598322 - 1.84145i) q^{83} +(7.52181 + 2.53424i) q^{84} +(2.65880 + 1.93173i) q^{85} +(12.8356 + 2.72829i) q^{86} +(0.588580 + 1.01945i) q^{87} +(-1.60220 + 2.77509i) q^{89} +(-4.22642 - 13.0076i) q^{90} +(-7.57681 + 4.26589i) q^{91} +(-22.0782 + 16.0408i) q^{92} +(1.12213 + 1.24625i) q^{93} +(-3.63239 + 0.772088i) q^{94} +(13.9315 + 6.20270i) q^{95} +(-1.39536 + 0.621253i) q^{96} +(0.574582 + 1.76838i) q^{97} +(17.1294 - 3.25544i) q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q - q^{3} + 4 q^{4} - 2 q^{5} - 2 q^{6} + 2 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 24 q - q^{3} + 4 q^{4} - 2 q^{5} - 2 q^{6} + 2 q^{7} - 18 q^{8} - 36 q^{10} + 36 q^{12} - 22 q^{13} - 12 q^{14} + 14 q^{15} + 2 q^{16} + 3 q^{17} - 10 q^{18} + 11 q^{19} - 28 q^{20} - 40 q^{21} - 48 q^{23} - 2 q^{24} + 3 q^{25} + q^{26} - 4 q^{27} + 13 q^{28} - 18 q^{29} - 2 q^{30} - 3 q^{31} - 12 q^{32} - 80 q^{34} + 9 q^{35} + 18 q^{36} - 4 q^{37} + 8 q^{38} + 5 q^{39} + 3 q^{40} - 10 q^{41} + 2 q^{42} - 16 q^{43} + 36 q^{45} + 10 q^{46} - 3 q^{47} - 20 q^{48} + 24 q^{49} - 6 q^{50} - 2 q^{51} + 7 q^{52} + 17 q^{53} - 32 q^{54} + 12 q^{56} + 40 q^{57} - 13 q^{58} + 8 q^{59} + 6 q^{60} + 24 q^{61} + 26 q^{62} + 12 q^{63} + 14 q^{64} + 60 q^{65} + 64 q^{67} - 5 q^{68} + 6 q^{69} + 27 q^{70} - 14 q^{71} - 10 q^{72} + 20 q^{73} - 22 q^{74} + 25 q^{75} + 312 q^{76} - 48 q^{78} - 3 q^{79} + 9 q^{80} - 17 q^{81} + 41 q^{82} - 22 q^{83} + 12 q^{84} + 22 q^{85} - 21 q^{86} + 120 q^{87} - 4 q^{89} + 20 q^{90} + 15 q^{91} - 50 q^{92} - 26 q^{93} + 10 q^{94} + 17 q^{95} - 27 q^{96} - 18 q^{97} + 96 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/847\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(365\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.43643 0.517880i −1.72282 0.366196i −0.762908 0.646507i \(-0.776229\pi\)
−0.959909 + 0.280310i \(0.909563\pi\)
\(3\) 0.0745850 0.709629i 0.0430617 0.409705i −0.951665 0.307139i \(-0.900628\pi\)
0.994726 0.102565i \(-0.0327051\pi\)
\(4\) 3.84091 + 1.71008i 1.92046 + 0.855042i
\(5\) 1.47503 + 1.63819i 0.659655 + 0.732621i 0.976419 0.215884i \(-0.0692632\pi\)
−0.316765 + 0.948504i \(0.602596\pi\)
\(6\) −0.549224 + 1.69034i −0.224220 + 0.690077i
\(7\) 0.522062 + 2.59373i 0.197321 + 0.980339i
\(8\) −4.44220 3.22745i −1.57056 1.14108i
\(9\) 2.43643 + 0.517880i 0.812144 + 0.172627i
\(10\) −2.74543 4.75523i −0.868182 1.50373i
\(11\) 0 0
\(12\) 1.50000 2.59808i 0.433013 0.750000i
\(13\) 1.01557 + 3.12561i 0.281669 + 0.866889i 0.987377 + 0.158386i \(0.0506290\pi\)
−0.705708 + 0.708503i \(0.749371\pi\)
\(14\) 0.0712722 6.58982i 0.0190483 1.76120i
\(15\) 1.27252 0.924542i 0.328564 0.238716i
\(16\) 3.52511 + 3.91503i 0.881277 + 0.978757i
\(17\) 1.45828 0.309968i 0.353686 0.0751783i −0.0276425 0.999618i \(-0.508800\pi\)
0.381329 + 0.924440i \(0.375467\pi\)
\(18\) −5.66800 2.52356i −1.33596 0.594808i
\(19\) 6.31985 2.81378i 1.44987 0.645525i 0.477431 0.878669i \(-0.341568\pi\)
0.972442 + 0.233144i \(0.0749013\pi\)
\(20\) 2.86403 + 8.81457i 0.640416 + 1.97100i
\(21\) 1.87953 0.177017i 0.410146 0.0386283i
\(22\) 0 0
\(23\) −3.24543 + 5.62125i −0.676719 + 1.17211i 0.299244 + 0.954177i \(0.403266\pi\)
−0.975963 + 0.217936i \(0.930068\pi\)
\(24\) −2.62161 + 2.91160i −0.535135 + 0.594327i
\(25\) 0.0146981 0.139844i 0.00293963 0.0279687i
\(26\) −0.855683 8.14128i −0.167813 1.59664i
\(27\) 1.21071 3.72618i 0.233001 0.717104i
\(28\) −2.43031 + 10.8551i −0.459285 + 2.05142i
\(29\) −1.33468 + 0.969699i −0.247843 + 0.180069i −0.704770 0.709436i \(-0.748950\pi\)
0.456927 + 0.889504i \(0.348950\pi\)
\(30\) −3.57922 + 1.59357i −0.653472 + 0.290945i
\(31\) −1.57262 + 1.74658i −0.282452 + 0.313694i −0.867630 0.497210i \(-0.834358\pi\)
0.585178 + 0.810905i \(0.301024\pi\)
\(32\) −1.07031 1.85383i −0.189205 0.327713i
\(33\) 0 0
\(34\) −3.71354 −0.636867
\(35\) −3.47897 + 4.68108i −0.588053 + 0.791247i
\(36\) 8.47250 + 6.15563i 1.41208 + 1.02594i
\(37\) 0.580619 + 5.52422i 0.0954532 + 0.908177i 0.932530 + 0.361092i \(0.117596\pi\)
−0.837077 + 0.547085i \(0.815737\pi\)
\(38\) −16.8551 + 3.58266i −2.73426 + 0.581184i
\(39\) 2.29377 0.487556i 0.367297 0.0780715i
\(40\) −1.26522 12.0378i −0.200049 1.90334i
\(41\) −9.10137 6.61254i −1.42140 1.03270i −0.991539 0.129807i \(-0.958564\pi\)
−0.429857 0.902897i \(-0.641436\pi\)
\(42\) −4.67101 0.542079i −0.720753 0.0836446i
\(43\) −5.26819 −0.803391 −0.401696 0.915773i \(-0.631579\pi\)
−0.401696 + 0.915773i \(0.631579\pi\)
\(44\) 0 0
\(45\) 2.74543 + 4.75523i 0.409265 + 0.708867i
\(46\) 10.8184 12.0151i 1.59509 1.77152i
\(47\) 1.36197 0.606389i 0.198664 0.0884509i −0.304993 0.952355i \(-0.598654\pi\)
0.503657 + 0.863904i \(0.331988\pi\)
\(48\) 3.04114 2.20952i 0.438950 0.318916i
\(49\) −6.45490 + 2.70818i −0.922129 + 0.386883i
\(50\) −0.108233 + 0.333107i −0.0153065 + 0.0471085i
\(51\) −0.111196 1.05796i −0.0155706 0.148144i
\(52\) −1.44433 + 13.7419i −0.200293 + 1.90566i
\(53\) 0.203907 0.226462i 0.0280088 0.0311070i −0.728978 0.684538i \(-0.760004\pi\)
0.756986 + 0.653431i \(0.226671\pi\)
\(54\) −4.87953 + 8.45159i −0.664019 + 1.15012i
\(55\) 0 0
\(56\) 6.05203 13.2068i 0.808737 1.76483i
\(57\) −1.52537 4.69462i −0.202041 0.621817i
\(58\) 3.75403 1.67140i 0.492929 0.219466i
\(59\) −11.5643 5.14877i −1.50555 0.670312i −0.522327 0.852745i \(-0.674936\pi\)
−0.983218 + 0.182433i \(0.941603\pi\)
\(60\) 6.46869 1.37496i 0.835104 0.177507i
\(61\) 8.68647 + 9.64730i 1.11219 + 1.23521i 0.969408 + 0.245456i \(0.0789378\pi\)
0.142781 + 0.989754i \(0.454396\pi\)
\(62\) 4.73611 3.44098i 0.601486 0.437005i
\(63\) −0.0712722 + 6.58982i −0.00897946 + 0.830239i
\(64\) −1.60825 4.94968i −0.201031 0.618710i
\(65\) −3.62234 + 6.27408i −0.449296 + 0.778204i
\(66\) 0 0
\(67\) 2.28646 + 3.96027i 0.279336 + 0.483824i 0.971220 0.238185i \(-0.0765524\pi\)
−0.691884 + 0.722009i \(0.743219\pi\)
\(68\) 6.13121 + 1.30323i 0.743519 + 0.158040i
\(69\) 3.74694 + 2.72231i 0.451079 + 0.327728i
\(70\) 10.9005 9.60344i 1.30286 1.14783i
\(71\) 3.50016 10.7724i 0.415392 1.27845i −0.496508 0.868032i \(-0.665385\pi\)
0.911900 0.410413i \(-0.134615\pi\)
\(72\) −9.15169 10.1640i −1.07854 1.19784i
\(73\) 7.82697 + 3.48479i 0.916078 + 0.407864i 0.809957 0.586489i \(-0.199490\pi\)
0.106121 + 0.994353i \(0.466157\pi\)
\(74\) 1.44624 13.7601i 0.168122 1.59958i
\(75\) −0.0981408 0.0208605i −0.0113323 0.00240876i
\(76\) 29.0858 3.33637
\(77\) 0 0
\(78\) −5.84111 −0.661376
\(79\) 4.53027 + 0.962938i 0.509695 + 0.108339i 0.455579 0.890196i \(-0.349432\pi\)
0.0541165 + 0.998535i \(0.482766\pi\)
\(80\) −1.21391 + 11.5496i −0.135719 + 1.29128i
\(81\) 4.27265 + 1.90230i 0.474738 + 0.211367i
\(82\) 18.7504 + 20.8244i 2.07063 + 2.29967i
\(83\) 0.598322 1.84145i 0.0656744 0.202125i −0.912834 0.408330i \(-0.866111\pi\)
0.978509 + 0.206205i \(0.0661113\pi\)
\(84\) 7.52181 + 2.53424i 0.820697 + 0.276508i
\(85\) 2.65880 + 1.93173i 0.288388 + 0.209526i
\(86\) 12.8356 + 2.72829i 1.38410 + 0.294199i
\(87\) 0.588580 + 1.01945i 0.0631024 + 0.109297i
\(88\) 0 0
\(89\) −1.60220 + 2.77509i −0.169833 + 0.294159i −0.938361 0.345657i \(-0.887656\pi\)
0.768528 + 0.639816i \(0.220989\pi\)
\(90\) −4.22642 13.0076i −0.445504 1.37112i
\(91\) −7.57681 + 4.26589i −0.794265 + 0.447187i
\(92\) −22.0782 + 16.0408i −2.30181 + 1.67237i
\(93\) 1.12213 + 1.24625i 0.116359 + 0.129230i
\(94\) −3.63239 + 0.772088i −0.374652 + 0.0796348i
\(95\) 13.9315 + 6.20270i 1.42934 + 0.636384i
\(96\) −1.39536 + 0.621253i −0.142413 + 0.0634064i
\(97\) 0.574582 + 1.76838i 0.0583400 + 0.179552i 0.975980 0.217861i \(-0.0699080\pi\)
−0.917640 + 0.397413i \(0.869908\pi\)
\(98\) 17.1294 3.25544i 1.73034 0.328849i
\(99\) 0 0
\(100\) 0.295598 0.511992i 0.0295598 0.0511992i
\(101\) −4.04524 + 4.49269i −0.402516 + 0.447040i −0.909992 0.414627i \(-0.863912\pi\)
0.507475 + 0.861666i \(0.330579\pi\)
\(102\) −0.276974 + 2.63523i −0.0274245 + 0.260927i
\(103\) 0.111196 + 1.05796i 0.0109565 + 0.104244i 0.998633 0.0522629i \(-0.0166434\pi\)
−0.987677 + 0.156507i \(0.949977\pi\)
\(104\) 5.57637 17.1623i 0.546808 1.68290i
\(105\) 3.06235 + 2.81791i 0.298855 + 0.275000i
\(106\) −0.614087 + 0.446160i −0.0596454 + 0.0433349i
\(107\) 5.78455 2.57545i 0.559213 0.248978i −0.107611 0.994193i \(-0.534320\pi\)
0.666824 + 0.745215i \(0.267653\pi\)
\(108\) 11.0223 12.2415i 1.06062 1.17794i
\(109\) −1.40694 2.43688i −0.134760 0.233411i 0.790746 0.612145i \(-0.209693\pi\)
−0.925506 + 0.378734i \(0.876360\pi\)
\(110\) 0 0
\(111\) 3.96345 0.376194
\(112\) −8.31421 + 11.1871i −0.785619 + 1.05708i
\(113\) 10.3181 + 7.49651i 0.970641 + 0.705212i 0.955598 0.294675i \(-0.0952113\pi\)
0.0150435 + 0.999887i \(0.495211\pi\)
\(114\) 1.28522 + 12.2281i 0.120372 + 1.14526i
\(115\) −13.9958 + 2.97490i −1.30511 + 0.277411i
\(116\) −6.78464 + 1.44212i −0.629938 + 0.133897i
\(117\) 0.855683 + 8.14128i 0.0791080 + 0.752662i
\(118\) 25.5092 + 18.5335i 2.34832 + 1.70615i
\(119\) 1.56529 + 3.62058i 0.143490 + 0.331898i
\(120\) −8.63671 −0.788420
\(121\) 0 0
\(122\) −16.1679 28.0035i −1.46377 2.53532i
\(123\) −5.37127 + 5.96540i −0.484311 + 0.537882i
\(124\) −9.02710 + 4.01913i −0.810658 + 0.360928i
\(125\) 9.16776 6.66077i 0.819990 0.595757i
\(126\) 3.58638 16.0187i 0.319500 1.42706i
\(127\) 3.82486 11.7717i 0.339401 1.04457i −0.625112 0.780535i \(-0.714947\pi\)
0.964513 0.264034i \(-0.0850532\pi\)
\(128\) 1.80256 + 17.1502i 0.159325 + 1.51588i
\(129\) −0.392928 + 3.73846i −0.0345954 + 0.329153i
\(130\) 12.0748 13.4104i 1.05903 1.17617i
\(131\) 0.379526 0.657359i 0.0331594 0.0574337i −0.848969 0.528442i \(-0.822776\pi\)
0.882129 + 0.471008i \(0.156110\pi\)
\(132\) 0 0
\(133\) 10.5975 + 14.9230i 0.918924 + 1.29399i
\(134\) −3.51987 10.8330i −0.304070 0.935832i
\(135\) 7.89003 3.51287i 0.679066 0.302339i
\(136\) −7.47840 3.32960i −0.641268 0.285511i
\(137\) 5.71347 1.21444i 0.488135 0.103756i 0.0427320 0.999087i \(-0.486394\pi\)
0.445403 + 0.895330i \(0.353060\pi\)
\(138\) −7.71934 8.57320i −0.657114 0.729799i
\(139\) −4.50859 + 3.27568i −0.382414 + 0.277840i −0.762340 0.647177i \(-0.775949\pi\)
0.379926 + 0.925017i \(0.375949\pi\)
\(140\) −21.3674 + 12.0303i −1.80588 + 1.01674i
\(141\) −0.328728 1.01172i −0.0276839 0.0852024i
\(142\) −14.1067 + 24.4335i −1.18381 + 2.05041i
\(143\) 0 0
\(144\) 6.56117 + 11.3643i 0.546764 + 0.947023i
\(145\) −3.55724 0.756115i −0.295413 0.0627919i
\(146\) −17.2652 12.5439i −1.42888 1.03814i
\(147\) 1.44036 + 4.78258i 0.118799 + 0.394460i
\(148\) −7.21678 + 22.2110i −0.593216 + 1.82573i
\(149\) 0.669131 + 0.743145i 0.0548173 + 0.0608808i 0.769930 0.638129i \(-0.220291\pi\)
−0.715112 + 0.699009i \(0.753625\pi\)
\(150\) 0.228310 + 0.101650i 0.0186414 + 0.00829970i
\(151\) 1.55132 14.7598i 0.126245 1.20114i −0.729589 0.683886i \(-0.760289\pi\)
0.855834 0.517251i \(-0.173045\pi\)
\(152\) −37.1554 7.89762i −3.01370 0.640582i
\(153\) 3.71354 0.300222
\(154\) 0 0
\(155\) −5.18089 −0.416139
\(156\) 9.64393 + 2.04988i 0.772133 + 0.164122i
\(157\) −0.667992 + 6.35552i −0.0533116 + 0.507226i 0.934986 + 0.354686i \(0.115412\pi\)
−0.988297 + 0.152540i \(0.951255\pi\)
\(158\) −10.5390 4.69227i −0.838438 0.373297i
\(159\) −0.145496 0.161589i −0.0115386 0.0128149i
\(160\) 1.45818 4.48782i 0.115279 0.354793i
\(161\) −16.2743 5.48314i −1.28260 0.432132i
\(162\) −9.42485 6.84755i −0.740486 0.537994i
\(163\) −9.72786 2.06772i −0.761944 0.161956i −0.189479 0.981885i \(-0.560680\pi\)
−0.572466 + 0.819929i \(0.694013\pi\)
\(164\) −23.6496 40.9623i −1.84672 3.19862i
\(165\) 0 0
\(166\) −2.41142 + 4.17670i −0.187163 + 0.324175i
\(167\) 0.599940 + 1.84643i 0.0464248 + 0.142881i 0.971582 0.236704i \(-0.0760670\pi\)
−0.925157 + 0.379584i \(0.876067\pi\)
\(168\) −8.92055 5.27973i −0.688235 0.407340i
\(169\) 1.77916 1.29264i 0.136859 0.0994337i
\(170\) −5.47759 6.08348i −0.420112 0.466582i
\(171\) 16.8551 3.58266i 1.28894 0.273973i
\(172\) −20.2347 9.00905i −1.54288 0.686933i
\(173\) −5.87621 + 2.61626i −0.446760 + 0.198910i −0.617770 0.786359i \(-0.711964\pi\)
0.171010 + 0.985269i \(0.445297\pi\)
\(174\) −0.906082 2.78863i −0.0686899 0.211406i
\(175\) 0.370390 0.0348840i 0.0279989 0.00263698i
\(176\) 0 0
\(177\) −4.51624 + 7.82235i −0.339461 + 0.587964i
\(178\) 5.34082 5.93158i 0.400311 0.444591i
\(179\) 0.374835 3.56632i 0.0280165 0.266559i −0.971543 0.236865i \(-0.923880\pi\)
0.999559 0.0296940i \(-0.00945329\pi\)
\(180\) 2.41312 + 22.9593i 0.179864 + 1.71129i
\(181\) 3.77414 11.6156i 0.280530 0.863381i −0.707174 0.707040i \(-0.750030\pi\)
0.987703 0.156341i \(-0.0499699\pi\)
\(182\) 20.6696 6.46967i 1.53213 0.479564i
\(183\) 7.49389 5.44463i 0.553964 0.402479i
\(184\) 32.5592 14.4963i 2.40029 1.06868i
\(185\) −8.19329 + 9.09957i −0.602383 + 0.669014i
\(186\) −2.08858 3.61753i −0.153142 0.265250i
\(187\) 0 0
\(188\) 6.26819 0.457155
\(189\) 10.2968 + 1.19496i 0.748981 + 0.0869205i
\(190\) −30.7309 22.3273i −2.22945 1.61979i
\(191\) −1.26577 12.0430i −0.0915877 0.871398i −0.939796 0.341736i \(-0.888985\pi\)
0.848208 0.529663i \(-0.177681\pi\)
\(192\) −3.63239 + 0.772088i −0.262145 + 0.0557206i
\(193\) −11.6790 + 2.48245i −0.840675 + 0.178691i −0.608073 0.793881i \(-0.708057\pi\)
−0.232602 + 0.972572i \(0.574724\pi\)
\(194\) −0.484121 4.60611i −0.0347579 0.330699i
\(195\) 4.18210 + 3.03847i 0.299486 + 0.217589i
\(196\) −29.4239 0.636544i −2.10171 0.0454674i
\(197\) −12.1626 −0.866551 −0.433275 0.901262i \(-0.642642\pi\)
−0.433275 + 0.901262i \(0.642642\pi\)
\(198\) 0 0
\(199\) −0.952451 1.64969i −0.0675174 0.116944i 0.830290 0.557331i \(-0.188174\pi\)
−0.897808 + 0.440387i \(0.854841\pi\)
\(200\) −0.516630 + 0.573776i −0.0365312 + 0.0405721i
\(201\) 2.98086 1.32716i 0.210253 0.0936109i
\(202\) 12.1826 8.85120i 0.857167 0.622768i
\(203\) −3.21192 2.95555i −0.225433 0.207439i
\(204\) 1.38211 4.25369i 0.0967668 0.297818i
\(205\) −2.59224 24.6635i −0.181050 1.72257i
\(206\) 0.276974 2.63523i 0.0192977 0.183605i
\(207\) −10.8184 + 12.0151i −0.751931 + 0.835104i
\(208\) −8.65685 + 14.9941i −0.600245 + 1.03965i
\(209\) 0 0
\(210\) −6.00187 8.45159i −0.414168 0.583215i
\(211\) 5.01988 + 15.4496i 0.345583 + 1.06360i 0.961271 + 0.275605i \(0.0888782\pi\)
−0.615688 + 0.787990i \(0.711122\pi\)
\(212\) 1.17046 0.521122i 0.0803875 0.0357908i
\(213\) −7.38333 3.28727i −0.505897 0.225240i
\(214\) −15.4274 + 3.27920i −1.05460 + 0.224162i
\(215\) −7.77075 8.63029i −0.529961 0.588581i
\(216\) −17.4043 + 12.6449i −1.18421 + 0.860380i
\(217\) −5.35116 3.16715i −0.363260 0.215000i
\(218\) 2.16589 + 6.66593i 0.146693 + 0.451473i
\(219\) 3.05669 5.29434i 0.206552 0.357758i
\(220\) 0 0
\(221\) 2.44983 + 4.24324i 0.164794 + 0.285431i
\(222\) −9.65669 2.05259i −0.648114 0.137761i
\(223\) −2.45662 1.78484i −0.164507 0.119522i 0.502486 0.864585i \(-0.332419\pi\)
−0.666993 + 0.745064i \(0.732419\pi\)
\(224\) 4.24956 3.74390i 0.283936 0.250150i
\(225\) 0.108233 0.333107i 0.00721554 0.0222072i
\(226\) −21.2570 23.6082i −1.41399 1.57040i
\(227\) −16.8541 7.50392i −1.11864 0.498053i −0.237731 0.971331i \(-0.576404\pi\)
−0.880913 + 0.473278i \(0.843070\pi\)
\(228\) 2.16936 20.6401i 0.143670 1.36693i
\(229\) 24.9426 + 5.30171i 1.64825 + 0.350347i 0.936116 0.351693i \(-0.114394\pi\)
0.712138 + 0.702040i \(0.247727\pi\)
\(230\) 35.6404 2.35006
\(231\) 0 0
\(232\) 9.05855 0.594723
\(233\) 3.73418 + 0.793725i 0.244634 + 0.0519987i 0.328597 0.944470i \(-0.393424\pi\)
−0.0839625 + 0.996469i \(0.526758\pi\)
\(234\) 2.13139 20.2788i 0.139333 1.32567i
\(235\) 3.00233 + 1.33672i 0.195851 + 0.0871983i
\(236\) −35.6127 39.5519i −2.31819 2.57461i
\(237\) 1.02122 3.14299i 0.0663353 0.204159i
\(238\) −1.93870 9.63193i −0.125667 0.624345i
\(239\) 10.5202 + 7.64340i 0.680498 + 0.494411i 0.873523 0.486783i \(-0.161830\pi\)
−0.193025 + 0.981194i \(0.561830\pi\)
\(240\) 8.10538 + 1.72285i 0.523200 + 0.111210i
\(241\) −0.225292 0.390216i −0.0145123 0.0251360i 0.858678 0.512515i \(-0.171286\pi\)
−0.873190 + 0.487379i \(0.837953\pi\)
\(242\) 0 0
\(243\) 7.54551 13.0692i 0.484045 0.838391i
\(244\) 16.8663 + 51.9090i 1.07975 + 3.32314i
\(245\) −13.9577 6.57970i −0.891725 0.420362i
\(246\) 16.1761 11.7526i 1.03135 0.749320i
\(247\) 15.2130 + 16.8958i 0.967983 + 1.07505i
\(248\) 12.6229 2.68308i 0.801555 0.170376i
\(249\) −1.26212 0.561931i −0.0799835 0.0356110i
\(250\) −25.7861 + 11.4807i −1.63086 + 0.726104i
\(251\) 0.345668 + 1.06386i 0.0218184 + 0.0671501i 0.961373 0.275249i \(-0.0887604\pi\)
−0.939554 + 0.342399i \(0.888760\pi\)
\(252\) −11.5429 + 25.1890i −0.727134 + 1.58676i
\(253\) 0 0
\(254\) −15.4153 + 26.7001i −0.967243 + 1.67531i
\(255\) 1.56912 1.74269i 0.0982622 0.109131i
\(256\) 3.40192 32.3671i 0.212620 2.02294i
\(257\) 2.38739 + 22.7145i 0.148921 + 1.41689i 0.772442 + 0.635085i \(0.219035\pi\)
−0.623521 + 0.781807i \(0.714298\pi\)
\(258\) 2.89342 8.90502i 0.180136 0.554402i
\(259\) −14.0252 + 4.38996i −0.871486 + 0.272779i
\(260\) −24.6423 + 17.9037i −1.52825 + 1.11034i
\(261\) −3.75403 + 1.67140i −0.232369 + 0.103457i
\(262\) −1.26512 + 1.40506i −0.0781596 + 0.0868050i
\(263\) −4.59568 7.95995i −0.283382 0.490832i 0.688834 0.724919i \(-0.258123\pi\)
−0.972215 + 0.234088i \(0.924790\pi\)
\(264\) 0 0
\(265\) 0.671758 0.0412658
\(266\) −18.0919 41.8472i −1.10928 2.56582i
\(267\) 1.84979 + 1.34395i 0.113205 + 0.0822483i
\(268\) 2.00971 + 19.1211i 0.122762 + 1.16801i
\(269\) 15.2720 3.24617i 0.931151 0.197922i 0.282726 0.959201i \(-0.408761\pi\)
0.648425 + 0.761278i \(0.275428\pi\)
\(270\) −21.0428 + 4.47278i −1.28062 + 0.272205i
\(271\) 2.90009 + 27.5925i 0.176168 + 1.67613i 0.623550 + 0.781784i \(0.285690\pi\)
−0.447382 + 0.894343i \(0.647643\pi\)
\(272\) 6.35414 + 4.61655i 0.385276 + 0.279920i
\(273\) 2.46208 + 5.69490i 0.149012 + 0.344671i
\(274\) −14.5494 −0.878962
\(275\) 0 0
\(276\) 9.73630 + 16.8638i 0.586056 + 1.01508i
\(277\) −9.91141 + 11.0077i −0.595519 + 0.661391i −0.963270 0.268533i \(-0.913461\pi\)
0.367751 + 0.929924i \(0.380128\pi\)
\(278\) 12.6813 5.64607i 0.760573 0.338629i
\(279\) −4.73611 + 3.44098i −0.283543 + 0.206006i
\(280\) 30.5622 9.56610i 1.82644 0.571684i
\(281\) −4.70407 + 14.4776i −0.280621 + 0.863663i 0.707056 + 0.707157i \(0.250023\pi\)
−0.987677 + 0.156505i \(0.949977\pi\)
\(282\) 0.276974 + 2.63523i 0.0164936 + 0.156926i
\(283\) 2.27007 21.5983i 0.134942 1.28389i −0.692123 0.721779i \(-0.743324\pi\)
0.827065 0.562106i \(-0.190009\pi\)
\(284\) 31.8655 35.3902i 1.89087 2.10002i
\(285\) 5.44070 9.42356i 0.322279 0.558204i
\(286\) 0 0
\(287\) 12.3997 27.0587i 0.731929 1.59722i
\(288\) −1.64767 5.07101i −0.0970900 0.298812i
\(289\) −13.4998 + 6.01048i −0.794103 + 0.353558i
\(290\) 8.27540 + 3.68445i 0.485948 + 0.216358i
\(291\) 1.29775 0.275845i 0.0760755 0.0161703i
\(292\) 24.1034 + 26.7696i 1.41055 + 1.56657i
\(293\) 9.00240 6.54062i 0.525926 0.382107i −0.292906 0.956141i \(-0.594622\pi\)
0.818832 + 0.574034i \(0.194622\pi\)
\(294\) −1.03255 12.3984i −0.0602196 0.723087i
\(295\) −8.62309 26.5391i −0.502056 1.54517i
\(296\) 15.2499 26.4136i 0.886383 1.53526i
\(297\) 0 0
\(298\) −1.24543 2.15715i −0.0721459 0.124960i
\(299\) −20.8658 4.43517i −1.20670 0.256492i
\(300\) −0.341277 0.247952i −0.0197036 0.0143155i
\(301\) −2.75032 13.6643i −0.158526 0.787596i
\(302\) −11.4235 + 35.1579i −0.657348 + 2.02311i
\(303\) 2.88643 + 3.20571i 0.165821 + 0.184163i
\(304\) 33.2942 + 14.8235i 1.90955 + 0.850187i
\(305\) −2.99128 + 28.4602i −0.171280 + 1.62962i
\(306\) −9.04778 1.92317i −0.517227 0.109940i
\(307\) −24.9855 −1.42600 −0.712998 0.701166i \(-0.752663\pi\)
−0.712998 + 0.701166i \(0.752663\pi\)
\(308\) 0 0
\(309\) 0.759053 0.0431810
\(310\) 12.6229 + 2.68308i 0.716932 + 0.152389i
\(311\) −3.63140 + 34.5505i −0.205918 + 1.95918i 0.0687384 + 0.997635i \(0.478103\pi\)
−0.274656 + 0.961542i \(0.588564\pi\)
\(312\) −11.7630 5.23721i −0.665946 0.296498i
\(313\) 15.8647 + 17.6196i 0.896728 + 0.995917i 0.999999 + 0.00126374i \(0.000402261\pi\)
−0.103272 + 0.994653i \(0.532931\pi\)
\(314\) 4.91891 15.1389i 0.277590 0.854335i
\(315\) −10.9005 + 9.60344i −0.614174 + 0.541093i
\(316\) 15.7537 + 11.4457i 0.886212 + 0.643871i
\(317\) −19.2470 4.09108i −1.08102 0.229778i −0.367224 0.930132i \(-0.619692\pi\)
−0.713795 + 0.700355i \(0.753025\pi\)
\(318\) 0.270807 + 0.469051i 0.0151861 + 0.0263031i
\(319\) 0 0
\(320\) 5.73630 9.93556i 0.320669 0.555414i
\(321\) −1.39617 4.29697i −0.0779267 0.239834i
\(322\) 36.8117 + 21.7875i 2.05144 + 1.21417i
\(323\) 8.34396 6.06224i 0.464270 0.337312i
\(324\) 13.1578 + 14.6132i 0.730986 + 0.811843i
\(325\) 0.452023 0.0960806i 0.0250738 0.00532959i
\(326\) 22.6304 + 10.0757i 1.25338 + 0.558042i
\(327\) −1.83422 + 0.816647i −0.101433 + 0.0451607i
\(328\) 19.0885 + 58.7484i 1.05399 + 3.24384i
\(329\) 2.28384 + 3.21602i 0.125912 + 0.177305i
\(330\) 0 0
\(331\) 14.0949 24.4131i 0.774728 1.34187i −0.160220 0.987081i \(-0.551220\pi\)
0.934947 0.354786i \(-0.115446\pi\)
\(332\) 5.44713 6.04966i 0.298950 0.332018i
\(333\) −1.44624 + 13.7601i −0.0792536 + 0.754048i
\(334\) −0.505487 4.80939i −0.0276590 0.263158i
\(335\) −3.11506 + 9.58718i −0.170194 + 0.523804i
\(336\) 7.31856 + 6.73439i 0.399260 + 0.367391i
\(337\) 17.5929 12.7820i 0.958346 0.696279i 0.00558004 0.999984i \(-0.498224\pi\)
0.952766 + 0.303705i \(0.0982238\pi\)
\(338\) −5.00424 + 2.22803i −0.272195 + 0.121189i
\(339\) 6.08931 6.76287i 0.330726 0.367308i
\(340\) 6.90880 + 11.9664i 0.374682 + 0.648969i
\(341\) 0 0
\(342\) −42.9217 −2.32094
\(343\) −10.3942 15.3285i −0.561232 0.827659i
\(344\) 23.4024 + 17.0028i 1.26177 + 0.916730i
\(345\) 1.06720 + 10.1537i 0.0574560 + 0.546657i
\(346\) 15.6719 3.33116i 0.842526 0.179084i
\(347\) −3.85532 + 0.819473i −0.206964 + 0.0439916i −0.310227 0.950663i \(-0.600405\pi\)
0.103263 + 0.994654i \(0.467072\pi\)
\(348\) 0.517338 + 4.92214i 0.0277322 + 0.263854i
\(349\) −11.4147 8.29324i −0.611013 0.443927i 0.238758 0.971079i \(-0.423260\pi\)
−0.849771 + 0.527152i \(0.823260\pi\)
\(350\) −0.920496 0.106825i −0.0492026 0.00571004i
\(351\) 12.8762 0.687279
\(352\) 0 0
\(353\) 2.48434 + 4.30301i 0.132228 + 0.229026i 0.924535 0.381097i \(-0.124453\pi\)
−0.792307 + 0.610123i \(0.791120\pi\)
\(354\) 15.0545 16.7198i 0.800140 0.888646i
\(355\) 22.8100 10.1557i 1.21063 0.539008i
\(356\) −10.8996 + 7.91899i −0.577675 + 0.419706i
\(357\) 2.68602 0.840734i 0.142159 0.0444964i
\(358\) −2.76018 + 8.49497i −0.145880 + 0.448973i
\(359\) −0.425597 4.04929i −0.0224622 0.213713i −0.999996 0.00293325i \(-0.999066\pi\)
0.977534 0.210780i \(-0.0676003\pi\)
\(360\) 3.15149 29.9844i 0.166098 1.58032i
\(361\) 19.3097 21.4456i 1.01630 1.12872i
\(362\) −15.2109 + 26.3461i −0.799468 + 1.38472i
\(363\) 0 0
\(364\) −36.3969 + 3.42792i −1.90772 + 0.179672i
\(365\) 5.83629 + 17.9623i 0.305485 + 0.940187i
\(366\) −21.0780 + 9.38454i −1.10177 + 0.490538i
\(367\) −16.4639 7.33021i −0.859410 0.382634i −0.0707724 0.997492i \(-0.522546\pi\)
−0.788637 + 0.614859i \(0.789213\pi\)
\(368\) −33.4479 + 7.10956i −1.74359 + 0.370611i
\(369\) −18.7504 20.8244i −0.976106 1.08408i
\(370\) 24.6749 17.9274i 1.28279 0.931999i
\(371\) 0.693835 + 0.410654i 0.0360221 + 0.0213201i
\(372\) 2.17880 + 6.70566i 0.112966 + 0.347672i
\(373\) 14.4582 25.0424i 0.748618 1.29664i −0.199867 0.979823i \(-0.564051\pi\)
0.948485 0.316822i \(-0.102616\pi\)
\(374\) 0 0
\(375\) −4.04290 7.00250i −0.208774 0.361608i
\(376\) −8.00724 1.70199i −0.412942 0.0877735i
\(377\) −4.38636 3.18688i −0.225909 0.164133i
\(378\) −24.4686 8.24393i −1.25853 0.424022i
\(379\) 1.33139 4.09760i 0.0683889 0.210479i −0.911021 0.412359i \(-0.864705\pi\)
0.979410 + 0.201880i \(0.0647049\pi\)
\(380\) 42.9025 + 47.6480i 2.20085 + 2.44429i
\(381\) −8.06826 3.59222i −0.413349 0.184035i
\(382\) −3.15285 + 29.9974i −0.161314 + 1.53480i
\(383\) 12.0789 + 2.56745i 0.617203 + 0.131191i 0.505895 0.862595i \(-0.331163\pi\)
0.111308 + 0.993786i \(0.464496\pi\)
\(384\) 12.3047 0.627923
\(385\) 0 0
\(386\) 29.7408 1.51377
\(387\) −12.8356 2.72829i −0.652470 0.138687i
\(388\) −0.817162 + 7.77478i −0.0414851 + 0.394705i
\(389\) 26.8793 + 11.9674i 1.36283 + 0.606772i 0.952325 0.305085i \(-0.0986850\pi\)
0.410507 + 0.911857i \(0.365352\pi\)
\(390\) −8.61583 9.56885i −0.436280 0.484538i
\(391\) −2.99036 + 9.20337i −0.151229 + 0.465434i
\(392\) 37.4145 + 8.80258i 1.88972 + 0.444597i
\(393\) −0.438174 0.318352i −0.0221030 0.0160587i
\(394\) 29.6334 + 6.29877i 1.49291 + 0.317328i
\(395\) 5.10482 + 8.84180i 0.256851 + 0.444879i
\(396\) 0 0
\(397\) 8.64975 14.9818i 0.434119 0.751915i −0.563105 0.826386i \(-0.690393\pi\)
0.997223 + 0.0744702i \(0.0237266\pi\)
\(398\) 1.46624 + 4.51262i 0.0734959 + 0.226197i
\(399\) 11.3802 6.40729i 0.569725 0.320766i
\(400\) 0.599304 0.435420i 0.0299652 0.0217710i
\(401\) −16.6951 18.5418i −0.833713 0.925932i 0.164458 0.986384i \(-0.447412\pi\)
−0.998171 + 0.0604521i \(0.980746\pi\)
\(402\) −7.94997 + 1.68982i −0.396508 + 0.0842805i
\(403\) −7.05623 3.14164i −0.351496 0.156496i
\(404\) −23.2203 + 10.3383i −1.15525 + 0.514352i
\(405\) 3.18596 + 9.80536i 0.158311 + 0.487232i
\(406\) 6.29502 + 8.86439i 0.312416 + 0.439932i
\(407\) 0 0
\(408\) −2.92056 + 5.05855i −0.144589 + 0.250436i
\(409\) 25.8006 28.6545i 1.27576 1.41687i 0.413418 0.910541i \(-0.364335\pi\)
0.862339 0.506331i \(-0.168999\pi\)
\(410\) −6.45691 + 61.4334i −0.318884 + 3.03398i
\(411\) −0.435660 4.14502i −0.0214895 0.204459i
\(412\) −1.38211 + 4.25369i −0.0680915 + 0.209564i
\(413\) 7.31723 32.6827i 0.360057 1.60821i
\(414\) 32.5807 23.6712i 1.60125 1.16338i
\(415\) 3.89918 1.73603i 0.191403 0.0852183i
\(416\) 4.70736 5.22806i 0.230798 0.256327i
\(417\) 1.98825 + 3.44374i 0.0973648 + 0.168641i
\(418\) 0 0
\(419\) 0.908970 0.0444061 0.0222030 0.999753i \(-0.492932\pi\)
0.0222030 + 0.999753i \(0.492932\pi\)
\(420\) 6.94334 + 16.0602i 0.338801 + 0.783659i
\(421\) −12.5828 9.14191i −0.613246 0.445550i 0.237310 0.971434i \(-0.423734\pi\)
−0.850556 + 0.525884i \(0.823734\pi\)
\(422\) −4.22957 40.2416i −0.205892 1.95893i
\(423\) 3.63239 0.772088i 0.176613 0.0375402i
\(424\) −1.63669 + 0.347890i −0.0794848 + 0.0168950i
\(425\) −0.0219129 0.208488i −0.00106293 0.0101131i
\(426\) 16.2866 + 11.8329i 0.789087 + 0.573305i
\(427\) −20.4877 + 27.5669i −0.991467 + 1.33405i
\(428\) 26.6222 1.28683
\(429\) 0 0
\(430\) 14.4635 + 25.0514i 0.697490 + 1.20809i
\(431\) −2.36630 + 2.62804i −0.113981 + 0.126588i −0.797435 0.603405i \(-0.793810\pi\)
0.683454 + 0.729993i \(0.260477\pi\)
\(432\) 18.8560 8.39523i 0.907209 0.403916i
\(433\) −14.2757 + 10.3719i −0.686044 + 0.498440i −0.875357 0.483476i \(-0.839374\pi\)
0.189313 + 0.981917i \(0.439374\pi\)
\(434\) 11.3975 + 10.4878i 0.547099 + 0.503430i
\(435\) −0.801878 + 2.46793i −0.0384471 + 0.118328i
\(436\) −1.23664 11.7658i −0.0592243 0.563481i
\(437\) −4.69368 + 44.6574i −0.224529 + 2.13625i
\(438\) −10.1892 + 11.3163i −0.486861 + 0.540713i
\(439\) 7.51362 13.0140i 0.358606 0.621123i −0.629123 0.777306i \(-0.716586\pi\)
0.987728 + 0.156183i \(0.0499190\pi\)
\(440\) 0 0
\(441\) −17.1294 + 3.25544i −0.815688 + 0.155021i
\(442\) −3.77137 11.6071i −0.179386 0.552092i
\(443\) 12.0795 5.37815i 0.573915 0.255523i −0.0991922 0.995068i \(-0.531626\pi\)
0.673107 + 0.739545i \(0.264959\pi\)
\(444\) 15.2233 + 6.77784i 0.722465 + 0.321662i
\(445\) −6.90943 + 1.46864i −0.327538 + 0.0696204i
\(446\) 5.06105 + 5.62087i 0.239648 + 0.266156i
\(447\) 0.577264 0.419407i 0.0273037 0.0198373i
\(448\) 11.9985 6.75541i 0.566878 0.319163i
\(449\) −3.06194 9.42367i −0.144502 0.444731i 0.852445 0.522817i \(-0.175119\pi\)
−0.996947 + 0.0780865i \(0.975119\pi\)
\(450\) −0.436212 + 0.755542i −0.0205632 + 0.0356166i
\(451\) 0 0
\(452\) 26.8111 + 46.4382i 1.26109 + 2.18427i
\(453\) −10.3583 2.20172i −0.486675 0.103446i
\(454\) 37.1777 + 27.0112i 1.74484 + 1.26770i
\(455\) −18.1644 6.11993i −0.851559 0.286907i
\(456\) −8.37562 + 25.7775i −0.392224 + 1.20714i
\(457\) −6.92217 7.68784i −0.323805 0.359622i 0.559161 0.829059i \(-0.311124\pi\)
−0.882966 + 0.469437i \(0.844457\pi\)
\(458\) −58.0253 25.8345i −2.71134 1.20717i
\(459\) 0.610563 5.80912i 0.0284986 0.271146i
\(460\) −58.8439 12.5077i −2.74361 0.583173i
\(461\) 15.3372 0.714325 0.357163 0.934042i \(-0.383744\pi\)
0.357163 + 0.934042i \(0.383744\pi\)
\(462\) 0 0
\(463\) −25.1313 −1.16795 −0.583976 0.811771i \(-0.698504\pi\)
−0.583976 + 0.811771i \(0.698504\pi\)
\(464\) −8.50127 1.80700i −0.394662 0.0838879i
\(465\) −0.386417 + 3.67651i −0.0179197 + 0.170494i
\(466\) −8.68703 3.86771i −0.402419 0.179168i
\(467\) −0.499181 0.554397i −0.0230994 0.0256544i 0.731484 0.681858i \(-0.238828\pi\)
−0.754584 + 0.656204i \(0.772161\pi\)
\(468\) −10.6357 + 32.7332i −0.491634 + 1.51309i
\(469\) −9.07820 + 7.99798i −0.419192 + 0.369312i
\(470\) −6.62272 4.81169i −0.305483 0.221947i
\(471\) 4.46024 + 0.948054i 0.205517 + 0.0436840i
\(472\) 34.7537 + 60.1951i 1.59967 + 2.77070i
\(473\) 0 0
\(474\) −4.11582 + 7.12881i −0.189046 + 0.327437i
\(475\) −0.300599 0.925148i −0.0137924 0.0424487i
\(476\) −0.179355 + 16.5831i −0.00822071 + 0.760085i
\(477\) 0.614087 0.446160i 0.0281171 0.0204283i
\(478\) −21.6735 24.0709i −0.991323 1.10098i
\(479\) −19.6735 + 4.18174i −0.898906 + 0.191068i −0.634116 0.773238i \(-0.718636\pi\)
−0.264790 + 0.964306i \(0.585303\pi\)
\(480\) −3.07593 1.36949i −0.140396 0.0625085i
\(481\) −16.6769 + 7.42504i −0.760402 + 0.338553i
\(482\) 0.346822 + 1.06741i 0.0157973 + 0.0486192i
\(483\) −5.10482 + 11.1398i −0.232277 + 0.506878i
\(484\) 0 0
\(485\) −2.04942 + 3.54969i −0.0930592 + 0.161183i
\(486\) −25.1524 + 27.9346i −1.14094 + 1.26714i
\(487\) 0.444237 4.22664i 0.0201303 0.191527i −0.979835 0.199806i \(-0.935969\pi\)
0.999966 + 0.00827918i \(0.00263538\pi\)
\(488\) −7.45088 70.8904i −0.337286 3.20906i
\(489\) −2.19287 + 6.74895i −0.0991648 + 0.305198i
\(490\) 30.5995 + 23.2594i 1.38234 + 1.05075i
\(491\) 24.5358 17.8263i 1.10728 0.804490i 0.125051 0.992150i \(-0.460091\pi\)
0.982234 + 0.187661i \(0.0600906\pi\)
\(492\) −30.8319 + 13.7273i −1.39001 + 0.618873i
\(493\) −1.64576 + 1.82780i −0.0741214 + 0.0823201i
\(494\) −28.3156 49.0440i −1.27398 2.20659i
\(495\) 0 0
\(496\) −12.3816 −0.555948
\(497\) 29.7680 + 3.45462i 1.33528 + 0.154961i
\(498\) 2.78405 + 2.02273i 0.124756 + 0.0906409i
\(499\) −1.50952 14.3622i −0.0675756 0.642939i −0.974921 0.222552i \(-0.928561\pi\)
0.907345 0.420387i \(-0.138106\pi\)
\(500\) 46.6030 9.90578i 2.08415 0.443000i
\(501\) 1.35502 0.288019i 0.0605380 0.0128677i
\(502\) −0.291247 2.77103i −0.0129990 0.123677i
\(503\) −2.39325 1.73880i −0.106710 0.0775292i 0.533151 0.846020i \(-0.321008\pi\)
−0.639860 + 0.768491i \(0.721008\pi\)
\(504\) 21.5849 29.0433i 0.961468 1.29369i
\(505\) −13.3267 −0.593032
\(506\) 0 0
\(507\) −0.784595 1.35896i −0.0348451 0.0603534i
\(508\) 34.8215 38.6732i 1.54496 1.71585i
\(509\) −22.8301 + 10.1646i −1.01193 + 0.450539i −0.844621 0.535365i \(-0.820174\pi\)
−0.167307 + 0.985905i \(0.553507\pi\)
\(510\) −4.72556 + 3.43332i −0.209251 + 0.152030i
\(511\) −4.95246 + 22.1204i −0.219084 + 0.978547i
\(512\) −14.3930 + 44.2970i −0.636086 + 1.95767i
\(513\) −2.83315 26.9556i −0.125086 1.19012i
\(514\) 5.94666 56.5787i 0.262296 2.49558i
\(515\) −1.56912 + 1.74269i −0.0691438 + 0.0767919i
\(516\) −7.90228 + 13.6872i −0.347879 + 0.602544i
\(517\) 0 0
\(518\) 36.4450 3.43245i 1.60130 0.150813i
\(519\) 1.41829 + 4.36506i 0.0622562 + 0.191605i
\(520\) 36.3404 16.1798i 1.59363 0.709531i
\(521\) 26.3678 + 11.7397i 1.15519 + 0.514325i 0.892719 0.450614i \(-0.148795\pi\)
0.262474 + 0.964939i \(0.415462\pi\)
\(522\) 10.0120 2.12812i 0.438215 0.0931455i
\(523\) −0.316225 0.351203i −0.0138276 0.0153571i 0.736191 0.676773i \(-0.236622\pi\)
−0.750019 + 0.661416i \(0.769956\pi\)
\(524\) 2.58187 1.87584i 0.112789 0.0819463i
\(525\) 0.00287088 0.265441i 0.000125296 0.0115848i
\(526\) 7.07477 + 21.7739i 0.308475 + 0.949387i
\(527\) −1.75195 + 3.03447i −0.0763162 + 0.132184i
\(528\) 0 0
\(529\) −9.56566 16.5682i −0.415898 0.720357i
\(530\) −1.63669 0.347890i −0.0710934 0.0151114i
\(531\) −25.5092 18.5335i −1.10701 0.804287i
\(532\) 15.1846 + 75.4408i 0.658336 + 3.27077i
\(533\) 11.4251 35.1629i 0.494876 1.52307i
\(534\) −3.81088 4.23241i −0.164913 0.183154i
\(535\) 12.7515 + 5.67732i 0.551294 + 0.245452i
\(536\) 2.62464 24.9718i 0.113367 1.07862i
\(537\) −2.50281 0.531988i −0.108004 0.0229570i
\(538\) −38.8904 −1.67668
\(539\) 0 0
\(540\) 36.3122 1.56263
\(541\) 15.1217 + 3.21422i 0.650134 + 0.138190i 0.521162 0.853458i \(-0.325499\pi\)
0.128972 + 0.991648i \(0.458832\pi\)
\(542\) 7.22373 68.7292i 0.310286 2.95217i
\(543\) −7.96128 3.54459i −0.341651 0.152113i
\(544\) −2.13544 2.37165i −0.0915562 0.101683i
\(545\) 1.91680 5.89931i 0.0821068 0.252699i
\(546\) −3.04942 15.1503i −0.130503 0.648373i
\(547\) −28.3512 20.5984i −1.21221 0.880722i −0.216780 0.976220i \(-0.569556\pi\)
−0.995430 + 0.0954983i \(0.969556\pi\)
\(548\) 24.0217 + 5.10598i 1.02616 + 0.218116i
\(549\) 16.1679 + 28.0035i 0.690027 + 1.19516i
\(550\) 0 0
\(551\) −5.70644 + 9.88384i −0.243102 + 0.421066i
\(552\) −7.85855 24.1861i −0.334482 1.02943i
\(553\) −0.132523 + 12.2530i −0.00563544 + 0.521051i
\(554\) 29.8492 21.6867i 1.26817 0.921379i
\(555\) 5.84622 + 6.49289i 0.248158 + 0.275608i
\(556\) −22.9188 + 4.87154i −0.971973 + 0.206599i
\(557\) −9.62205 4.28401i −0.407699 0.181519i 0.192632 0.981271i \(-0.438298\pi\)
−0.600331 + 0.799752i \(0.704964\pi\)
\(558\) 13.3212 5.93099i 0.563932 0.251079i
\(559\) −5.35023 16.4663i −0.226291 0.696451i
\(560\) −30.5903 + 2.88104i −1.29268 + 0.121746i
\(561\) 0 0
\(562\) 18.9588 32.8376i 0.799729 1.38517i
\(563\) 20.5521 22.8255i 0.866170 0.961979i −0.133407 0.991061i \(-0.542592\pi\)
0.999577 + 0.0290823i \(0.00925849\pi\)
\(564\) 0.467513 4.44809i 0.0196859 0.187298i
\(565\) 2.93877 + 27.9605i 0.123635 + 1.17631i
\(566\) −16.7162 + 51.4472i −0.702634 + 2.16249i
\(567\) −2.70348 + 12.0752i −0.113536 + 0.507112i
\(568\) −50.3157 + 36.5565i −2.11120 + 1.53388i
\(569\) 28.1117 12.5161i 1.17850 0.524704i 0.278437 0.960455i \(-0.410184\pi\)
0.900067 + 0.435751i \(0.143517\pi\)
\(570\) −18.1362 + 20.1422i −0.759640 + 0.843666i
\(571\) −3.75847 6.50986i −0.157287 0.272429i 0.776602 0.629991i \(-0.216941\pi\)
−0.933889 + 0.357562i \(0.883608\pi\)
\(572\) 0 0
\(573\) −8.64045 −0.360960
\(574\) −44.2241 + 59.5051i −1.84588 + 2.48370i
\(575\) 0.738394 + 0.536475i 0.0307932 + 0.0223725i
\(576\) −1.35505 12.8924i −0.0564604 0.537185i
\(577\) −27.0149 + 5.74220i −1.12465 + 0.239051i −0.732443 0.680828i \(-0.761620\pi\)
−0.392202 + 0.919879i \(0.628287\pi\)
\(578\) 36.0040 7.65288i 1.49757 0.318318i
\(579\) 0.890541 + 8.47293i 0.0370096 + 0.352123i
\(580\) −12.3700 8.98735i −0.513638 0.373179i
\(581\) 5.08858 + 0.590539i 0.211110 + 0.0244997i
\(582\) −3.30473 −0.136986
\(583\) 0 0
\(584\) −23.5220 40.7413i −0.973348 1.68589i
\(585\) −12.0748 + 13.4104i −0.499232 + 0.554453i
\(586\) −25.3210 + 11.2736i −1.04600 + 0.465709i
\(587\) 24.2367 17.6090i 1.00036 0.726801i 0.0381915 0.999270i \(-0.487840\pi\)
0.962164 + 0.272469i \(0.0878403\pi\)
\(588\) −2.64629 + 20.8326i −0.109131 + 0.859122i
\(589\) −5.02427 + 15.4631i −0.207022 + 0.637147i
\(590\) 7.26549 + 69.1265i 0.299116 + 2.84589i
\(591\) −0.907149 + 8.63095i −0.0373151 + 0.355030i
\(592\) −19.5807 + 21.7466i −0.804763 + 0.893780i
\(593\) 6.33401 10.9708i 0.260107 0.450518i −0.706163 0.708049i \(-0.749576\pi\)
0.966270 + 0.257531i \(0.0829089\pi\)
\(594\) 0 0
\(595\) −3.62234 + 7.90471i −0.148502 + 0.324062i
\(596\) 1.29923 + 3.99862i 0.0532186 + 0.163790i
\(597\) −1.24171 + 0.552844i −0.0508197 + 0.0226264i
\(598\) 48.5413 + 21.6120i 1.98500 + 0.883779i
\(599\) −1.26598 + 0.269093i −0.0517267 + 0.0109948i −0.233702 0.972308i \(-0.575084\pi\)
0.181976 + 0.983303i \(0.441751\pi\)
\(600\) 0.368635 + 0.409411i 0.0150495 + 0.0167141i
\(601\) −33.1875 + 24.1121i −1.35375 + 0.983554i −0.354931 + 0.934892i \(0.615496\pi\)
−0.998815 + 0.0486619i \(0.984504\pi\)
\(602\) −0.375476 + 34.7164i −0.0153032 + 1.41494i
\(603\) 3.51987 + 10.8330i 0.143340 + 0.441155i
\(604\) 31.1990 54.0383i 1.26947 2.19879i
\(605\) 0 0
\(606\) −5.37242 9.30531i −0.218240 0.378002i
\(607\) −20.7141 4.40291i −0.840758 0.178709i −0.232647 0.972561i \(-0.574739\pi\)
−0.608110 + 0.793853i \(0.708072\pi\)
\(608\) −11.9804 8.70430i −0.485871 0.353006i
\(609\) −2.33691 + 2.05883i −0.0946962 + 0.0834282i
\(610\) 22.0270 67.7922i 0.891847 2.74482i
\(611\) 3.27852 + 3.64116i 0.132635 + 0.147306i
\(612\) 14.2634 + 6.35046i 0.576563 + 0.256702i
\(613\) 0.706939 6.72607i 0.0285530 0.271664i −0.970926 0.239381i \(-0.923056\pi\)
0.999479 0.0322828i \(-0.0102777\pi\)
\(614\) 60.8754 + 12.9395i 2.45673 + 0.522194i
\(615\) −17.6953 −0.713542
\(616\) 0 0
\(617\) −41.0728 −1.65353 −0.826763 0.562550i \(-0.809820\pi\)
−0.826763 + 0.562550i \(0.809820\pi\)
\(618\) −1.84938 0.393098i −0.0743930 0.0158127i
\(619\) 3.18046 30.2601i 0.127834 1.21625i −0.723011 0.690837i \(-0.757242\pi\)
0.850844 0.525418i \(-0.176091\pi\)
\(620\) −19.8994 8.85977i −0.799177 0.355817i
\(621\) 17.0165 + 18.8988i 0.682850 + 0.758382i
\(622\) 26.7406 82.2992i 1.07220 3.29990i
\(623\) −8.03430 2.70691i −0.321887 0.108450i
\(624\) 9.99458 + 7.26149i 0.400104 + 0.290692i
\(625\) 23.7466 + 5.04751i 0.949866 + 0.201900i
\(626\) −29.5285 51.1449i −1.18020 2.04416i
\(627\) 0 0
\(628\) −13.4342 + 23.2687i −0.536082 + 0.928521i
\(629\) 2.55904 + 7.87592i 0.102036 + 0.314033i
\(630\) 31.5318 17.7530i 1.25626 0.707296i
\(631\) −10.0051 + 7.26915i −0.398298 + 0.289380i −0.768847 0.639432i \(-0.779169\pi\)
0.370549 + 0.928813i \(0.379169\pi\)
\(632\) −17.0165 18.8988i −0.676881 0.751753i
\(633\) 11.3379 2.40995i 0.450641 0.0957867i
\(634\) 44.7753 + 19.9353i 1.77826 + 0.791730i
\(635\) 24.9261 11.0978i 0.989160 0.440403i
\(636\) −0.282505 0.869460i −0.0112020 0.0344763i
\(637\) −15.0201 17.4252i −0.595120 0.690410i
\(638\) 0 0
\(639\) 14.1067 24.4335i 0.558052 0.966574i
\(640\) −25.4365 + 28.2501i −1.00546 + 1.11668i
\(641\) 4.92656 46.8731i 0.194588 1.85138i −0.266265 0.963900i \(-0.585789\pi\)
0.460852 0.887477i \(-0.347544\pi\)
\(642\) 1.17636 + 11.1923i 0.0464273 + 0.441726i
\(643\) 0.578611 1.78078i 0.0228182 0.0702272i −0.938999 0.343920i \(-0.888245\pi\)
0.961817 + 0.273693i \(0.0882451\pi\)
\(644\) −53.1317 48.8908i −2.09368 1.92657i
\(645\) −6.70389 + 4.87066i −0.263965 + 0.191782i
\(646\) −23.4690 + 10.4491i −0.923376 + 0.411113i
\(647\) −1.22844 + 1.36432i −0.0482951 + 0.0536371i −0.766808 0.641876i \(-0.778156\pi\)
0.718513 + 0.695513i \(0.244823\pi\)
\(648\) −12.8404 22.2402i −0.504417 0.873676i
\(649\) 0 0
\(650\) −1.15108 −0.0451492
\(651\) −2.64662 + 3.56112i −0.103729 + 0.139571i
\(652\) −33.8279 24.5774i −1.32480 0.962525i
\(653\) 1.90003 + 18.0776i 0.0743539 + 0.707430i 0.966671 + 0.256021i \(0.0824118\pi\)
−0.892317 + 0.451409i \(0.850922\pi\)
\(654\) 4.89188 1.03980i 0.191288 0.0406594i
\(655\) 1.63669 0.347890i 0.0639509 0.0135932i
\(656\) −6.19506 58.9420i −0.241876 2.30130i
\(657\) 17.2652 + 12.5439i 0.673579 + 0.489384i
\(658\) −3.89892 9.01837i −0.151996 0.351573i
\(659\) 16.8997 0.658318 0.329159 0.944275i \(-0.393235\pi\)
0.329159 + 0.944275i \(0.393235\pi\)
\(660\) 0 0
\(661\) 22.6516 + 39.2338i 0.881046 + 1.52602i 0.850180 + 0.526493i \(0.176493\pi\)
0.0308661 + 0.999524i \(0.490173\pi\)
\(662\) −46.9844 + 52.1815i −1.82610 + 2.02809i
\(663\) 3.19384 1.42199i 0.124039 0.0552256i
\(664\) −8.60105 + 6.24903i −0.333785 + 0.242509i
\(665\) −8.81504 + 39.3728i −0.341833 + 1.52681i
\(666\) 10.6497 32.7765i 0.412669 1.27006i
\(667\) −1.11932 10.6496i −0.0433403 0.412356i
\(668\) −0.853226 + 8.11791i −0.0330123 + 0.314091i
\(669\) −1.44980 + 1.61016i −0.0560525 + 0.0622526i
\(670\) 12.5547 21.7453i 0.485028 0.840094i
\(671\) 0 0
\(672\) −2.33983 3.29485i −0.0902609 0.127102i
\(673\) −12.2085 37.5740i −0.470604 1.44837i −0.851795 0.523875i \(-0.824486\pi\)
0.381191 0.924496i \(-0.375514\pi\)
\(674\) −49.4834 + 22.0314i −1.90603 + 0.848619i
\(675\) −0.503287 0.224078i −0.0193715 0.00862476i
\(676\) 9.04413 1.92239i 0.347851 0.0739380i
\(677\) 22.8400 + 25.3664i 0.877813 + 0.974911i 0.999845 0.0176157i \(-0.00560753\pi\)
−0.122031 + 0.992526i \(0.538941\pi\)
\(678\) −18.3385 + 13.3237i −0.704288 + 0.511695i
\(679\) −4.28674 + 2.41352i −0.164510 + 0.0926223i
\(680\) −5.57637 17.1623i −0.213844 0.658144i
\(681\) −6.58206 + 11.4005i −0.252225 + 0.436867i
\(682\) 0 0
\(683\) −11.8931 20.5995i −0.455079 0.788219i 0.543614 0.839335i \(-0.317056\pi\)
−0.998693 + 0.0511160i \(0.983722\pi\)
\(684\) 70.8656 + 15.0629i 2.70961 + 0.575946i
\(685\) 10.4170 + 7.56842i 0.398014 + 0.289174i
\(686\) 17.3864 + 42.7297i 0.663815 + 1.63143i
\(687\) 5.62259 17.3046i 0.214515 0.660210i
\(688\) −18.5709 20.6251i −0.708010 0.786325i
\(689\) 0.914915 + 0.407347i 0.0348555 + 0.0155187i
\(690\) 2.65824 25.2915i 0.101198 0.962831i
\(691\) 20.1131 + 4.27517i 0.765139 + 0.162635i 0.573919 0.818912i \(-0.305422\pi\)
0.191220 + 0.981547i \(0.438756\pi\)
\(692\) −27.0440 −1.02806
\(693\) 0 0
\(694\) 9.81761 0.372671
\(695\) −12.0165 2.55419i −0.455812 0.0968858i
\(696\) 0.675632 6.42821i 0.0256098 0.243661i
\(697\) −15.3221 6.82182i −0.580365 0.258395i
\(698\) 23.5162 + 26.1173i 0.890100 + 0.988556i
\(699\) 0.841764 2.59068i 0.0318385 0.0979887i
\(700\) 1.48229 + 0.499412i 0.0560253 + 0.0188760i
\(701\) −19.4089 14.1014i −0.733063 0.532602i 0.157468 0.987524i \(-0.449667\pi\)
−0.890531 + 0.454922i \(0.849667\pi\)
\(702\) −31.3719 6.66830i −1.18406 0.251679i
\(703\) 19.2134 + 33.2785i 0.724646 + 1.25512i
\(704\) 0 0
\(705\) 1.17251 2.03084i 0.0441592 0.0764860i
\(706\) −3.82450 11.7706i −0.143937 0.442992i
\(707\) −13.7647 8.14680i −0.517675 0.306392i
\(708\) −30.7234 + 22.3218i −1.15465 + 0.838906i
\(709\) −34.6019 38.4293i −1.29950 1.44324i −0.827310 0.561746i \(-0.810130\pi\)
−0.472191 0.881496i \(-0.656537\pi\)
\(710\) −60.8345 + 12.9308i −2.28308 + 0.485283i
\(711\) 10.5390 + 4.69227i 0.395244 + 0.175974i
\(712\) 16.0738 7.15650i 0.602390 0.268201i
\(713\) −4.71410 14.5085i −0.176544 0.543348i
\(714\) −6.97969 + 0.657359i −0.261208 + 0.0246010i
\(715\) 0 0
\(716\) 7.53841 13.0569i 0.281724 0.487960i
\(717\) 6.20863 6.89539i 0.231866 0.257513i
\(718\) −1.06010 + 10.0862i −0.0395628 + 0.376414i
\(719\) −2.69528 25.6439i −0.100517 0.956355i −0.922279 0.386525i \(-0.873675\pi\)
0.821762 0.569831i \(-0.192991\pi\)
\(720\) −8.93891 + 27.5111i −0.333133 + 1.02528i
\(721\) −2.68602 + 0.840734i −0.100032 + 0.0313106i
\(722\) −58.1530 + 42.2506i −2.16423 + 1.57241i
\(723\) −0.293712 + 0.130769i −0.0109233 + 0.00486336i
\(724\) 34.3598 38.1604i 1.27697 1.41822i
\(725\) 0.115989 + 0.200899i 0.00430772 + 0.00746118i
\(726\) 0 0
\(727\) 32.7330 1.21400 0.606999 0.794702i \(-0.292373\pi\)
0.606999 + 0.794702i \(0.292373\pi\)
\(728\) 47.4256 + 5.50383i 1.75771 + 0.203985i
\(729\) 2.63979 + 1.91792i 0.0977698 + 0.0710340i
\(730\) −4.91744 46.7863i −0.182003 1.73164i
\(731\) −7.68252 + 1.63297i −0.284148 + 0.0603976i
\(732\) 38.0941 8.09716i 1.40800 0.299280i
\(733\) −0.970309 9.23188i −0.0358392 0.340987i −0.997718 0.0675125i \(-0.978494\pi\)
0.961879 0.273475i \(-0.0881729\pi\)
\(734\) 36.3171 + 26.3859i 1.34049 + 0.973921i
\(735\) −5.71018 + 9.41405i −0.210623 + 0.347242i
\(736\) 13.8944 0.512156
\(737\) 0 0
\(738\) 34.8995 + 60.4477i 1.28467 + 2.22511i
\(739\) 33.5189 37.2266i 1.23301 1.36940i 0.327631 0.944806i \(-0.393750\pi\)
0.905383 0.424595i \(-0.139583\pi\)
\(740\) −47.0307 + 20.9394i −1.72888 + 0.769749i
\(741\) 13.1244 9.53545i 0.482138 0.350293i
\(742\) −1.47781 1.35985i −0.0542522 0.0499218i
\(743\) −4.06909 + 12.5234i −0.149280 + 0.459438i −0.997537 0.0701482i \(-0.977653\pi\)
0.848256 + 0.529586i \(0.177653\pi\)
\(744\) −0.962512 9.15769i −0.0352874 0.335737i
\(745\) −0.230423 + 2.19233i −0.00844203 + 0.0803206i
\(746\) −48.1954 + 53.5264i −1.76456 + 1.95974i
\(747\) 2.41142 4.17670i 0.0882293 0.152818i
\(748\) 0 0
\(749\) 9.69992 + 13.6590i 0.354427 + 0.499090i
\(750\) 6.22379 + 19.1549i 0.227261 + 0.699437i
\(751\) 37.7419 16.8038i 1.37722 0.613179i 0.421334 0.906906i \(-0.361562\pi\)
0.955890 + 0.293726i \(0.0948955\pi\)
\(752\) 7.17512 + 3.19457i 0.261650 + 0.116494i
\(753\) 0.780726 0.165948i 0.0284512 0.00604750i
\(754\) 9.03665 + 10.0362i 0.329096 + 0.365498i
\(755\) 26.4676 19.2298i 0.963255 0.699846i
\(756\) 37.5056 + 22.1981i 1.36406 + 0.807337i
\(757\) −14.0638 43.2839i −0.511157 1.57318i −0.790167 0.612891i \(-0.790006\pi\)
0.279010 0.960288i \(-0.409994\pi\)
\(758\) −5.36591 + 9.29402i −0.194898 + 0.337574i
\(759\) 0 0
\(760\) −41.8676 72.5168i −1.51870 2.63046i
\(761\) 30.5886 + 6.50180i 1.10883 + 0.235690i 0.725706 0.688005i \(-0.241513\pi\)
0.383128 + 0.923695i \(0.374847\pi\)
\(762\) 17.7974 + 12.9306i 0.644733 + 0.468426i
\(763\) 5.58612 4.92142i 0.202231 0.178167i
\(764\) 15.7328 48.4205i 0.569192 1.75179i
\(765\) 5.47759 + 6.08348i 0.198043 + 0.219949i
\(766\) −28.0998 12.5108i −1.01529 0.452035i
\(767\) 4.34864 41.3745i 0.157020 1.49395i
\(768\) −22.7149 4.82820i −0.819653 0.174223i
\(769\) −42.0467 −1.51624 −0.758121 0.652114i \(-0.773882\pi\)
−0.758121 + 0.652114i \(0.773882\pi\)
\(770\) 0 0
\(771\) 16.2969 0.586920
\(772\) −49.1033 10.4372i −1.76727 0.375644i
\(773\) −0.799069 + 7.60264i −0.0287405 + 0.273448i 0.970709 + 0.240260i \(0.0772327\pi\)
−0.999449 + 0.0331880i \(0.989434\pi\)
\(774\) 29.8601 + 13.2946i 1.07330 + 0.477864i
\(775\) 0.221133 + 0.245593i 0.00794332 + 0.00882195i
\(776\) 3.15495 9.70994i 0.113256 0.348567i
\(777\) 2.06917 + 10.2801i 0.0742311 + 0.368798i
\(778\) −59.2918 43.0780i −2.12571 1.54442i
\(779\) −76.1256 16.1810i −2.72748 0.579744i
\(780\) 10.8670 + 18.8222i 0.389102 + 0.673944i
\(781\) 0 0
\(782\) 12.0520 20.8747i 0.430980 0.746479i
\(783\) 1.99737 + 6.14727i 0.0713801 + 0.219685i
\(784\) −33.3568 15.7245i −1.19131 0.561589i
\(785\) −11.3969 + 8.28030i −0.406771 + 0.295537i
\(786\) 0.902714 + 1.00256i 0.0321987 + 0.0357603i
\(787\) −27.2936 + 5.80144i −0.972913 + 0.206799i −0.666834 0.745207i \(-0.732351\pi\)
−0.306080 + 0.952006i \(0.599017\pi\)
\(788\) −46.7156 20.7991i −1.66417 0.740937i
\(789\) −5.99138 + 2.66754i −0.213299 + 0.0949668i
\(790\) −7.85855 24.1861i −0.279595 0.860504i
\(791\) −14.0573 + 30.6759i −0.499819 + 1.09071i
\(792\) 0 0
\(793\) −21.3320 + 36.9481i −0.757521 + 1.31206i
\(794\) −28.8333 + 32.0226i −1.02326 + 1.13644i
\(795\) 0.0501031 0.476699i 0.00177697 0.0169068i
\(796\) −0.837165 7.96510i −0.0296725 0.282315i
\(797\) 3.10747 9.56381i 0.110072 0.338767i −0.880815 0.473460i \(-0.843005\pi\)
0.990887 + 0.134693i \(0.0430047\pi\)
\(798\) −31.0454 + 9.71734i −1.09900 + 0.343990i
\(799\) 1.79818 1.30646i 0.0636151 0.0462191i
\(800\) −0.274977 + 0.122428i −0.00972191 + 0.00432847i
\(801\) −5.34082 + 5.93158i −0.188709 + 0.209582i
\(802\) 31.0740 + 53.8218i 1.09726 + 1.90051i
\(803\) 0 0
\(804\) 13.7188 0.483824
\(805\) −15.0228 34.7483i −0.529483 1.22472i
\(806\) 15.5650 + 11.3087i 0.548255 + 0.398331i
\(807\) −1.16451 11.0796i −0.0409927 0.390020i
\(808\) 32.4697 6.90165i 1.14228 0.242799i
\(809\) 37.7297 8.01969i 1.32651 0.281957i 0.510438 0.859915i \(-0.329483\pi\)
0.816067 + 0.577957i \(0.196150\pi\)
\(810\) −2.68437 25.5400i −0.0943190 0.897386i
\(811\) 10.0124 + 7.27443i 0.351583 + 0.255440i 0.749533 0.661967i \(-0.230278\pi\)
−0.397950 + 0.917407i \(0.630278\pi\)
\(812\) −7.28248 16.8447i −0.255565 0.591132i
\(813\) 19.7968 0.694303
\(814\) 0 0
\(815\) −10.9616 18.9860i −0.383968 0.665051i
\(816\) 3.74997 4.16476i 0.131275 0.145796i
\(817\) −33.2942 + 14.8235i −1.16482 + 0.518609i
\(818\) −77.7010 + 56.4531i −2.71675 + 1.97383i
\(819\) −20.6696 + 6.46967i −0.722254 + 0.226069i
\(820\) 32.2201 99.1632i 1.12517 3.46293i
\(821\) 3.10848 + 29.5752i 0.108487 + 1.03218i 0.904375 + 0.426738i \(0.140338\pi\)
−0.795888 + 0.605443i \(0.792996\pi\)
\(822\) −1.08517 + 10.3247i −0.0378496 + 0.360115i
\(823\) 27.2851 30.3032i 0.951100 1.05630i −0.0472501 0.998883i \(-0.515046\pi\)
0.998350 0.0574204i \(-0.0182875\pi\)
\(824\) 2.92056 5.05855i 0.101742 0.176223i
\(825\) 0 0
\(826\) −34.7537 + 75.8398i −1.20923 + 2.63880i
\(827\) 5.82222 + 17.9190i 0.202459 + 0.623103i 0.999808 + 0.0195857i \(0.00623473\pi\)
−0.797350 + 0.603518i \(0.793765\pi\)
\(828\) −62.0993 + 27.6484i −2.15810 + 0.960848i
\(829\) −28.4484 12.6660i −0.988053 0.439909i −0.151894 0.988397i \(-0.548537\pi\)
−0.836159 + 0.548487i \(0.815204\pi\)
\(830\) −10.3992 + 2.21041i −0.360960 + 0.0767244i
\(831\) 7.07217 + 7.85444i 0.245331 + 0.272467i
\(832\) 13.8375 10.0535i 0.479728 0.348543i
\(833\) −8.57364 + 5.95011i −0.297059 + 0.206159i
\(834\) −3.06078 9.42012i −0.105986 0.326192i
\(835\) −2.13986 + 3.70635i −0.0740530 + 0.128264i
\(836\) 0 0
\(837\) 4.60407 + 7.97448i 0.159140 + 0.275638i
\(838\) −2.21464 0.470737i −0.0765036 0.0162613i
\(839\) −8.29961 6.03002i −0.286534 0.208179i 0.435228 0.900320i \(-0.356668\pi\)
−0.721763 + 0.692141i \(0.756668\pi\)
\(840\) −4.50890 22.4013i −0.155572 0.772919i
\(841\) −8.12045 + 24.9922i −0.280015 + 0.861799i
\(842\) 25.9226 + 28.7900i 0.893353 + 0.992169i
\(843\) 9.92289 + 4.41796i 0.341762 + 0.152162i
\(844\) −7.13921 + 67.9250i −0.245742 + 2.33808i
\(845\) 4.74191 + 1.00792i 0.163127 + 0.0346736i
\(846\) −9.24992 −0.318019
\(847\) 0 0
\(848\) 1.60540 0.0551297
\(849\) −15.1575 3.22182i −0.520203 0.110573i
\(850\) −0.0545821 + 0.519314i −0.00187215 + 0.0178123i
\(851\) −32.9374 14.6647i −1.12908 0.502699i
\(852\) −22.7372 25.2522i −0.778964 0.865127i
\(853\) −0.940756 + 2.89535i −0.0322109 + 0.0991348i −0.965869 0.259030i \(-0.916597\pi\)
0.933659 + 0.358164i \(0.116597\pi\)
\(854\) 64.1931 56.5547i 2.19664 1.93526i
\(855\) 30.7309 + 22.3273i 1.05097 + 0.763577i
\(856\) −34.0083 7.22868i −1.16238 0.247071i
\(857\) 24.7766 + 42.9143i 0.846352 + 1.46592i 0.884442 + 0.466650i \(0.154539\pi\)
−0.0380904 + 0.999274i \(0.512127\pi\)
\(858\) 0 0
\(859\) −18.4373 + 31.9344i −0.629074 + 1.08959i 0.358664 + 0.933467i \(0.383232\pi\)
−0.987738 + 0.156121i \(0.950101\pi\)
\(860\) −15.0882 46.4368i −0.514505 1.58348i
\(861\) −18.2768 10.8173i −0.622872 0.368654i
\(862\) 7.12634 5.17759i 0.242724 0.176349i
\(863\) −31.0631 34.4990i −1.05740 1.17436i −0.984203 0.177043i \(-0.943347\pi\)
−0.0731955 0.997318i \(-0.523320\pi\)
\(864\) −8.20352 + 1.74371i −0.279090 + 0.0593223i
\(865\) −12.9535 5.76728i −0.440433 0.196093i
\(866\) 40.1531 17.8773i 1.36446 0.607495i
\(867\) 3.25833 + 10.0281i 0.110659 + 0.340573i
\(868\) −15.1372 21.3157i −0.513792 0.723501i
\(869\) 0 0
\(870\) 3.23181 5.59766i 0.109569 0.189778i
\(871\) −10.0562 + 11.1685i −0.340741 + 0.378431i
\(872\) −1.61503 + 15.3659i −0.0546917 + 0.520356i
\(873\) 0.484121 + 4.60611i 0.0163850 + 0.155893i
\(874\) 34.5630 106.374i 1.16911 3.59815i
\(875\) 22.0624 + 20.3014i 0.745845 + 0.686312i
\(876\) 20.7942 15.1079i 0.702572 0.510448i
\(877\) −35.6566 + 15.8753i −1.20404 + 0.536072i −0.907946 0.419088i \(-0.862350\pi\)
−0.296091 + 0.955160i \(0.595683\pi\)
\(878\) −25.0461 + 27.8165i −0.845265 + 0.938762i
\(879\) −3.96997 6.87620i −0.133904 0.231928i
\(880\) 0 0
\(881\) −44.0049 −1.48256 −0.741281 0.671194i \(-0.765782\pi\)
−0.741281 + 0.671194i \(0.765782\pi\)
\(882\) 43.4207 + 0.939343i 1.46205 + 0.0316293i
\(883\) 18.8983 + 13.7304i 0.635978 + 0.462065i 0.858466 0.512871i \(-0.171418\pi\)
−0.222488 + 0.974935i \(0.571418\pi\)
\(884\) 2.15330 + 20.4873i 0.0724234 + 0.689063i
\(885\) −19.4761 + 4.13977i −0.654682 + 0.139157i
\(886\) −32.2162 + 6.84775i −1.08232 + 0.230055i
\(887\) 4.38158 + 41.6880i 0.147119 + 1.39975i 0.780137 + 0.625608i \(0.215149\pi\)
−0.633018 + 0.774137i \(0.718184\pi\)
\(888\) −17.6065 12.7918i −0.590834 0.429266i
\(889\) 32.5294 + 3.77510i 1.09100 + 0.126613i
\(890\) 17.5949 0.589783
\(891\) 0 0
\(892\) −6.38343 11.0564i −0.213733 0.370196i
\(893\) 6.90122 7.66458i 0.230940 0.256485i
\(894\) −1.62367 + 0.722903i −0.0543036 + 0.0241775i
\(895\) 6.39520 4.64638i 0.213768 0.155311i
\(896\) −43.5420 + 13.6288i −1.45464 + 0.455308i
\(897\) −4.70360 + 14.4762i −0.157049 + 0.483346i
\(898\) 2.57987 + 24.5459i 0.0860915 + 0.819106i
\(899\) 0.405291 3.85608i 0.0135172 0.128608i
\(900\) 0.985356 1.09435i 0.0328452 0.0364783i
\(901\) 0.227159 0.393451i 0.00756776 0.0131078i
\(902\) 0 0
\(903\) −9.90170 + 0.932559i −0.329508 + 0.0310336i
\(904\) −21.6403 66.6020i −0.719746 2.21515i
\(905\) 24.5955 10.9506i 0.817584 0.364012i
\(906\) 24.0970 + 10.7287i 0.800570 + 0.356437i
\(907\) 20.0697 4.26595i 0.666405 0.141649i 0.137726 0.990470i \(-0.456021\pi\)
0.528679 + 0.848822i \(0.322687\pi\)
\(908\) −51.9027 57.6438i −1.72245 1.91298i
\(909\) −12.1826 + 8.85120i −0.404072 + 0.293576i
\(910\) 41.0869 + 24.3177i 1.36202 + 0.806125i
\(911\) 8.55220 + 26.3210i 0.283347 + 0.872052i 0.986889 + 0.161399i \(0.0516006\pi\)
−0.703542 + 0.710653i \(0.748399\pi\)
\(912\) 13.0025 22.5209i 0.430554 0.745742i
\(913\) 0 0
\(914\) 12.8840 + 22.3158i 0.426165 + 0.738140i
\(915\) 19.9731 + 4.24541i 0.660289 + 0.140349i
\(916\) 86.7360 + 63.0174i 2.86584 + 2.08215i
\(917\) 1.90315 + 0.641208i 0.0628476 + 0.0211746i
\(918\) −4.49602 + 13.8373i −0.148391 + 0.456700i
\(919\) −0.644677 0.715986i −0.0212659 0.0236182i 0.732418 0.680855i \(-0.238392\pi\)
−0.753684 + 0.657237i \(0.771725\pi\)
\(920\) 71.7735 + 31.9556i 2.36630 + 1.05355i
\(921\) −1.86354 + 17.7304i −0.0614058 + 0.584237i
\(922\) −37.3681 7.94283i −1.23065 0.261583i
\(923\) 37.2249 1.22527
\(924\) 0 0
\(925\) 0.781061 0.0256811
\(926\) 61.2307 + 13.0150i 2.01217 + 0.427699i
\(927\) −0.276974 + 2.63523i −0.00909703 + 0.0865525i
\(928\) 3.22617 + 1.43638i 0.105904 + 0.0471515i
\(929\) 17.6195 + 19.5685i 0.578078 + 0.642021i 0.959275 0.282473i \(-0.0911548\pi\)
−0.381197 + 0.924494i \(0.624488\pi\)
\(930\) 2.84547 8.75746i 0.0933067 0.287168i
\(931\) −33.1738 + 35.2780i −1.08723 + 1.15619i
\(932\) 12.9853 + 9.43439i 0.425349 + 0.309034i
\(933\) 24.2472 + 5.15389i 0.793817 + 0.168731i
\(934\) 0.929110 + 1.60927i 0.0304014 + 0.0526568i
\(935\) 0 0
\(936\) 22.4745 38.9269i 0.734601 1.27237i
\(937\) 6.60878 + 20.3397i 0.215899 + 0.664470i 0.999089 + 0.0426865i \(0.0135917\pi\)
−0.783189 + 0.621784i \(0.786408\pi\)
\(938\) 26.2604 14.7851i 0.857433 0.482751i
\(939\) 13.6866 9.94392i 0.446646 0.324508i
\(940\) 9.24578 + 10.2685i 0.301564 + 0.334921i
\(941\) 14.4989 3.08184i 0.472651 0.100465i 0.0345735 0.999402i \(-0.488993\pi\)
0.438078 + 0.898937i \(0.355659\pi\)
\(942\) −10.3761 4.61974i −0.338072 0.150519i
\(943\) 66.7086 29.7006i 2.17233 0.967184i
\(944\) −20.6079 63.4246i −0.670730 2.06429i
\(945\) 13.2305 + 18.6307i 0.430389 + 0.606056i
\(946\) 0 0
\(947\) −15.8560 + 27.4634i −0.515251 + 0.892442i 0.484592 + 0.874740i \(0.338968\pi\)
−0.999843 + 0.0177013i \(0.994365\pi\)
\(948\) 9.29719 10.3256i 0.301959 0.335359i
\(949\) −2.94325 + 28.0031i −0.0955419 + 0.909020i
\(950\) 0.253273 + 2.40973i 0.00821727 + 0.0781821i
\(951\) −4.33869 + 13.3531i −0.140692 + 0.433004i
\(952\) 4.73190 21.1352i 0.153362 0.684997i
\(953\) 40.4201 29.3669i 1.30933 0.951287i 0.309335 0.950953i \(-0.399894\pi\)
1.00000 0.000333943i \(-0.000106297\pi\)
\(954\) −1.72724 + 0.769016i −0.0559214 + 0.0248978i
\(955\) 17.8616 19.8373i 0.577988 0.641921i
\(956\) 27.3365 + 47.3481i 0.884124 + 1.53135i
\(957\) 0 0
\(958\) 50.0988 1.61862
\(959\) 6.13271 + 14.1852i 0.198036 + 0.458064i
\(960\) −6.62272 4.81169i −0.213747 0.155296i
\(961\) 2.66300 + 25.3368i 0.0859033 + 0.817315i
\(962\) 44.4774 9.45397i 1.43401 0.304808i
\(963\) 15.4274 3.27920i 0.497142 0.105671i
\(964\) −0.198022 1.88405i −0.00637786 0.0606813i
\(965\) −21.2937 15.4708i −0.685468 0.498022i
\(966\) 18.2066 24.4977i 0.585788 0.788199i
\(967\) 52.4581 1.68694 0.843469 0.537178i \(-0.180510\pi\)
0.843469 + 0.537178i \(0.180510\pi\)
\(968\) 0 0
\(969\) −3.67961 6.37327i −0.118206 0.204739i
\(970\) 6.83158 7.58724i 0.219349 0.243612i
\(971\) 28.1615 12.5383i 0.903745 0.402373i 0.0983775 0.995149i \(-0.468635\pi\)
0.805367 + 0.592776i \(0.201968\pi\)
\(972\) 51.3311 37.2942i 1.64645 1.19621i
\(973\) −10.8500 9.98397i −0.347835 0.320071i
\(974\) −3.27124 + 10.0678i −0.104817 + 0.322595i
\(975\) −0.0344674 0.327935i −0.00110384 0.0105023i
\(976\) −7.14872 + 68.0155i −0.228825 + 2.17712i
\(977\) 16.5513 18.3821i 0.529523 0.588095i −0.417734 0.908569i \(-0.637176\pi\)
0.947257 + 0.320474i \(0.103842\pi\)
\(978\) 8.83791 15.3077i 0.282605 0.489487i
\(979\) 0 0
\(980\) −42.3585 49.1409i −1.35309 1.56975i
\(981\) −2.16589 6.66593i −0.0691516 0.212827i
\(982\) −69.0117 + 30.7260i −2.20225 + 0.980505i
\(983\) 11.1670 + 4.97188i 0.356173 + 0.158578i 0.577020 0.816730i \(-0.304215\pi\)
−0.220847 + 0.975308i \(0.570882\pi\)
\(984\) 43.1133 9.16402i 1.37440 0.292138i
\(985\) −17.9403 19.9247i −0.571624 0.634853i
\(986\) 4.95637 3.60101i 0.157843 0.114680i
\(987\) 2.45252 1.38082i 0.0780646 0.0439519i
\(988\) 29.5387 + 90.9109i 0.939752 + 2.89226i
\(989\) 17.0975 29.6138i 0.543670 0.941665i
\(990\) 0 0
\(991\) −2.30008 3.98386i −0.0730645 0.126552i 0.827178 0.561939i \(-0.189945\pi\)
−0.900243 + 0.435388i \(0.856611\pi\)
\(992\) 4.92104 + 1.04600i 0.156243 + 0.0332105i
\(993\) −16.2730 11.8230i −0.516408 0.375192i
\(994\) −70.7385 23.8332i −2.24369 0.755942i
\(995\) 1.29761 3.99365i 0.0411371 0.126607i
\(996\) −3.88674 4.31666i −0.123156 0.136779i
\(997\) 31.4957 + 14.0228i 0.997479 + 0.444106i 0.839514 0.543339i \(-0.182840\pi\)
0.157965 + 0.987445i \(0.449507\pi\)
\(998\) −3.76002 + 35.7742i −0.119021 + 1.13241i
\(999\) 21.2872 + 4.52474i 0.673498 + 0.143156i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (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 847.2.n.d.632.1 24
7.4 even 3 inner 847.2.n.d.753.3 24
11.2 odd 10 847.2.n.e.9.1 24
11.3 even 5 847.2.e.d.485.1 6
11.4 even 5 inner 847.2.n.d.366.1 24
11.5 even 5 inner 847.2.n.d.807.3 24
11.6 odd 10 847.2.n.e.807.1 24
11.7 odd 10 847.2.n.e.366.3 24
11.8 odd 10 77.2.e.b.23.3 6
11.9 even 5 inner 847.2.n.d.9.3 24
11.10 odd 2 847.2.n.e.632.3 24
33.8 even 10 693.2.i.g.100.1 6
44.19 even 10 1232.2.q.k.177.2 6
77.4 even 15 inner 847.2.n.d.487.3 24
77.18 odd 30 847.2.n.e.487.1 24
77.19 even 30 539.2.a.i.1.1 3
77.25 even 15 847.2.e.d.606.1 6
77.30 odd 30 539.2.a.h.1.1 3
77.32 odd 6 847.2.n.e.753.1 24
77.39 odd 30 847.2.n.e.81.3 24
77.41 even 10 539.2.e.l.177.3 6
77.46 odd 30 847.2.n.e.130.3 24
77.47 odd 30 5929.2.a.w.1.3 3
77.52 even 30 539.2.e.l.67.3 6
77.53 even 15 inner 847.2.n.d.130.1 24
77.58 even 15 5929.2.a.v.1.3 3
77.60 even 15 inner 847.2.n.d.81.1 24
77.74 odd 30 77.2.e.b.67.3 yes 6
231.74 even 30 693.2.i.g.298.1 6
231.107 even 30 4851.2.a.bo.1.3 3
231.173 odd 30 4851.2.a.bn.1.3 3
308.19 odd 30 8624.2.a.ck.1.2 3
308.107 even 30 8624.2.a.cl.1.2 3
308.151 even 30 1232.2.q.k.529.2 6
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
77.2.e.b.23.3 6 11.8 odd 10
77.2.e.b.67.3 yes 6 77.74 odd 30
539.2.a.h.1.1 3 77.30 odd 30
539.2.a.i.1.1 3 77.19 even 30
539.2.e.l.67.3 6 77.52 even 30
539.2.e.l.177.3 6 77.41 even 10
693.2.i.g.100.1 6 33.8 even 10
693.2.i.g.298.1 6 231.74 even 30
847.2.e.d.485.1 6 11.3 even 5
847.2.e.d.606.1 6 77.25 even 15
847.2.n.d.9.3 24 11.9 even 5 inner
847.2.n.d.81.1 24 77.60 even 15 inner
847.2.n.d.130.1 24 77.53 even 15 inner
847.2.n.d.366.1 24 11.4 even 5 inner
847.2.n.d.487.3 24 77.4 even 15 inner
847.2.n.d.632.1 24 1.1 even 1 trivial
847.2.n.d.753.3 24 7.4 even 3 inner
847.2.n.d.807.3 24 11.5 even 5 inner
847.2.n.e.9.1 24 11.2 odd 10
847.2.n.e.81.3 24 77.39 odd 30
847.2.n.e.130.3 24 77.46 odd 30
847.2.n.e.366.3 24 11.7 odd 10
847.2.n.e.487.1 24 77.18 odd 30
847.2.n.e.632.3 24 11.10 odd 2
847.2.n.e.753.1 24 77.32 odd 6
847.2.n.e.807.1 24 11.6 odd 10
1232.2.q.k.177.2 6 44.19 even 10
1232.2.q.k.529.2 6 308.151 even 30
4851.2.a.bn.1.3 3 231.173 odd 30
4851.2.a.bo.1.3 3 231.107 even 30
5929.2.a.v.1.3 3 77.58 even 15
5929.2.a.w.1.3 3 77.47 odd 30
8624.2.a.ck.1.2 3 308.19 odd 30
8624.2.a.cl.1.2 3 308.107 even 30