Properties

Label 847.2.n.d.632.3
Level $847$
Weight $2$
Character 847.632
Analytic conductor $6.763$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

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 632.3
Character \(\chi\) \(=\) 847.632
Dual form 847.2.n.d.130.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.79416 + 0.381361i) q^{2} +(0.229826 - 2.18665i) q^{3} +(1.24649 + 0.554971i) q^{4} +(-0.425267 - 0.472307i) q^{5} +(1.24625 - 3.83555i) q^{6} +(-1.28679 - 2.31175i) q^{7} +(-0.943117 - 0.685215i) q^{8} +(-1.79416 - 0.381361i) q^{9} +O(q^{10})\) \(q+(1.79416 + 0.381361i) q^{2} +(0.229826 - 2.18665i) q^{3} +(1.24649 + 0.554971i) q^{4} +(-0.425267 - 0.472307i) q^{5} +(1.24625 - 3.83555i) q^{6} +(-1.28679 - 2.31175i) q^{7} +(-0.943117 - 0.685215i) q^{8} +(-1.79416 - 0.381361i) q^{9} +(-0.582878 - 1.00958i) q^{10} +(1.50000 - 2.59808i) q^{12} +(0.556635 + 1.71315i) q^{13} +(-1.42710 - 4.63838i) q^{14} +(-1.13051 + 0.821361i) q^{15} +(-3.25678 - 3.61702i) q^{16} +(-2.77231 + 0.589272i) q^{17} +(-3.07358 - 1.36844i) q^{18} +(5.08218 - 2.26273i) q^{19} +(-0.267973 - 0.824735i) q^{20} +(-5.35071 + 2.28245i) q^{21} +(-1.08288 + 1.87560i) q^{23} +(-1.71507 + 1.90478i) q^{24} +(0.480421 - 4.57090i) q^{25} +(0.345366 + 3.28594i) q^{26} +(0.792054 - 2.43769i) q^{27} +(-0.321012 - 3.59569i) q^{28} +(-8.43830 + 6.13079i) q^{29} +(-2.34154 + 1.04252i) q^{30} +(4.30272 - 4.77866i) q^{31} +(-3.29804 - 5.71237i) q^{32} -5.19869 q^{34} +(-0.544625 + 1.59087i) q^{35} +(-2.02475 - 1.47107i) q^{36} +(-0.634056 - 6.03264i) q^{37} +(9.98117 - 2.12156i) q^{38} +(3.87397 - 0.823439i) q^{39} +(0.0774450 + 0.736840i) q^{40} +(6.09648 + 4.42935i) q^{41} +(-10.4705 + 2.05454i) q^{42} +4.86718 q^{43} +(0.582878 + 1.00958i) q^{45} +(-2.65814 + 2.95216i) q^{46} +(-2.58921 + 1.15279i) q^{47} +(-8.65763 + 6.29014i) q^{48} +(-3.68835 + 5.94946i) q^{49} +(2.60511 - 8.01771i) q^{50} +(0.651382 + 6.19749i) q^{51} +(-0.256909 + 2.44433i) q^{52} +(4.99827 - 5.55114i) q^{53} +(2.35071 - 4.07155i) q^{54} +(-0.370450 + 3.06197i) q^{56} +(-3.77978 - 11.6330i) q^{57} +(-17.4777 + 7.78158i) q^{58} +(10.7860 + 4.80225i) q^{59} +(-1.86499 + 0.396416i) q^{60} +(2.89835 + 3.21894i) q^{61} +(9.54217 - 6.93279i) q^{62} +(1.42710 + 4.63838i) q^{63} +(-0.730655 - 2.24872i) q^{64} +(0.572413 - 0.991448i) q^{65} +(0.801309 + 1.38791i) q^{67} +(-3.78267 - 0.804031i) q^{68} +(3.85240 + 2.79893i) q^{69} +(-1.58384 + 2.64658i) q^{70} +(1.32631 - 4.08197i) q^{71} +(1.43079 + 1.58905i) q^{72} +(14.6107 + 6.50512i) q^{73} +(1.16301 - 11.0653i) q^{74} +(-9.88452 - 2.10102i) q^{75} +7.59061 q^{76} +7.26456 q^{78} +(4.65777 + 0.990040i) q^{79} +(-0.323343 + 3.07640i) q^{80} +(-10.1753 - 4.53035i) q^{81} +(9.24888 + 10.2719i) q^{82} +(2.85273 - 8.77980i) q^{83} +(-7.93628 - 0.124443i) q^{84} +(1.45729 + 1.05878i) q^{85} +(8.73250 + 1.85615i) q^{86} +(11.4665 + 19.8606i) q^{87} +(-0.182224 + 0.315621i) q^{89} +(0.660765 + 2.03363i) q^{90} +(3.24409 - 3.49126i) q^{91} +(-2.39070 + 1.73694i) q^{92} +(-9.46036 - 10.5068i) q^{93} +(-5.08509 + 1.08087i) q^{94} +(-3.22999 - 1.43808i) q^{95} +(-13.2489 + 5.89879i) q^{96} +(-0.802231 - 2.46901i) q^{97} +(-8.88637 + 9.26770i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.79416 + 0.381361i 1.26866 + 0.269663i 0.792596 0.609747i \(-0.208729\pi\)
0.476067 + 0.879409i \(0.342062\pi\)
\(3\) 0.229826 2.18665i 0.132690 1.26246i −0.702174 0.712005i \(-0.747787\pi\)
0.834864 0.550456i \(-0.185546\pi\)
\(4\) 1.24649 + 0.554971i 0.623243 + 0.277486i
\(5\) −0.425267 0.472307i −0.190185 0.211222i 0.640510 0.767950i \(-0.278723\pi\)
−0.830695 + 0.556728i \(0.812057\pi\)
\(6\) 1.24625 3.83555i 0.508778 1.56586i
\(7\) −1.28679 2.31175i −0.486361 0.873758i
\(8\) −0.943117 0.685215i −0.333442 0.242260i
\(9\) −1.79416 0.381361i −0.598054 0.127120i
\(10\) −0.582878 1.00958i −0.184322 0.319256i
\(11\) 0 0
\(12\) 1.50000 2.59808i 0.433013 0.750000i
\(13\) 0.556635 + 1.71315i 0.154383 + 0.475141i 0.998098 0.0616500i \(-0.0196362\pi\)
−0.843715 + 0.536791i \(0.819636\pi\)
\(14\) −1.42710 4.63838i −0.381408 1.23966i
\(15\) −1.13051 + 0.821361i −0.291895 + 0.212074i
\(16\) −3.25678 3.61702i −0.814194 0.904254i
\(17\) −2.77231 + 0.589272i −0.672383 + 0.142920i −0.531437 0.847098i \(-0.678348\pi\)
−0.140946 + 0.990017i \(0.545014\pi\)
\(18\) −3.07358 1.36844i −0.724449 0.322545i
\(19\) 5.08218 2.26273i 1.16593 0.519106i 0.269810 0.962914i \(-0.413039\pi\)
0.896122 + 0.443807i \(0.146372\pi\)
\(20\) −0.267973 0.824735i −0.0599205 0.184416i
\(21\) −5.35071 + 2.28245i −1.16762 + 0.498073i
\(22\) 0 0
\(23\) −1.08288 + 1.87560i −0.225796 + 0.391090i −0.956558 0.291542i \(-0.905832\pi\)
0.730762 + 0.682632i \(0.239165\pi\)
\(24\) −1.71507 + 1.90478i −0.350088 + 0.388812i
\(25\) 0.480421 4.57090i 0.0960841 0.914179i
\(26\) 0.345366 + 3.28594i 0.0677319 + 0.644426i
\(27\) 0.792054 2.43769i 0.152431 0.469134i
\(28\) −0.321012 3.59569i −0.0606655 0.679521i
\(29\) −8.43830 + 6.13079i −1.56695 + 1.13846i −0.636952 + 0.770904i \(0.719805\pi\)
−0.930002 + 0.367555i \(0.880195\pi\)
\(30\) −2.34154 + 1.04252i −0.427506 + 0.190338i
\(31\) 4.30272 4.77866i 0.772792 0.858272i −0.220322 0.975427i \(-0.570711\pi\)
0.993114 + 0.117155i \(0.0373775\pi\)
\(32\) −3.29804 5.71237i −0.583016 1.00981i
\(33\) 0 0
\(34\) −5.19869 −0.891568
\(35\) −0.544625 + 1.59087i −0.0920584 + 0.268906i
\(36\) −2.02475 1.47107i −0.337458 0.245178i
\(37\) −0.634056 6.03264i −0.104238 0.991760i −0.914196 0.405272i \(-0.867177\pi\)
0.809958 0.586488i \(-0.199490\pi\)
\(38\) 9.98117 2.12156i 1.61916 0.344163i
\(39\) 3.87397 0.823439i 0.620332 0.131856i
\(40\) 0.0774450 + 0.736840i 0.0122451 + 0.116505i
\(41\) 6.09648 + 4.42935i 0.952110 + 0.691749i 0.951305 0.308251i \(-0.0997437\pi\)
0.000805217 1.00000i \(0.499744\pi\)
\(42\) −10.4705 + 2.05454i −1.61563 + 0.317022i
\(43\) 4.86718 0.742238 0.371119 0.928585i \(-0.378974\pi\)
0.371119 + 0.928585i \(0.378974\pi\)
\(44\) 0 0
\(45\) 0.582878 + 1.00958i 0.0868904 + 0.150499i
\(46\) −2.65814 + 2.95216i −0.391921 + 0.435272i
\(47\) −2.58921 + 1.15279i −0.377675 + 0.168152i −0.586790 0.809739i \(-0.699608\pi\)
0.209115 + 0.977891i \(0.432942\pi\)
\(48\) −8.65763 + 6.29014i −1.24962 + 0.907903i
\(49\) −3.68835 + 5.94946i −0.526906 + 0.849923i
\(50\) 2.60511 8.01771i 0.368418 1.13388i
\(51\) 0.651382 + 6.19749i 0.0912118 + 0.867822i
\(52\) −0.256909 + 2.44433i −0.0356269 + 0.338967i
\(53\) 4.99827 5.55114i 0.686565 0.762508i −0.294612 0.955617i \(-0.595190\pi\)
0.981177 + 0.193109i \(0.0618572\pi\)
\(54\) 2.35071 4.07155i 0.319891 0.554068i
\(55\) 0 0
\(56\) −0.370450 + 3.06197i −0.0495034 + 0.409174i
\(57\) −3.77978 11.6330i −0.500644 1.54082i
\(58\) −17.4777 + 7.78158i −2.29494 + 1.02177i
\(59\) 10.7860 + 4.80225i 1.40422 + 0.625199i 0.962333 0.271872i \(-0.0876427\pi\)
0.441887 + 0.897071i \(0.354309\pi\)
\(60\) −1.86499 + 0.396416i −0.240769 + 0.0511771i
\(61\) 2.89835 + 3.21894i 0.371095 + 0.412143i 0.899550 0.436819i \(-0.143895\pi\)
−0.528454 + 0.848962i \(0.677228\pi\)
\(62\) 9.54217 6.93279i 1.21186 0.880465i
\(63\) 1.42710 + 4.63838i 0.179797 + 0.584380i
\(64\) −0.730655 2.24872i −0.0913318 0.281090i
\(65\) 0.572413 0.991448i 0.0709990 0.122974i
\(66\) 0 0
\(67\) 0.801309 + 1.38791i 0.0978954 + 0.169560i 0.910813 0.412818i \(-0.135456\pi\)
−0.812918 + 0.582378i \(0.802122\pi\)
\(68\) −3.78267 0.804031i −0.458716 0.0975031i
\(69\) 3.85240 + 2.79893i 0.463775 + 0.336952i
\(70\) −1.58384 + 2.64658i −0.189305 + 0.316327i
\(71\) 1.32631 4.08197i 0.157404 0.484441i −0.840992 0.541047i \(-0.818028\pi\)
0.998397 + 0.0566066i \(0.0180281\pi\)
\(72\) 1.43079 + 1.58905i 0.168620 + 0.187272i
\(73\) 14.6107 + 6.50512i 1.71006 + 0.761367i 0.998259 + 0.0589850i \(0.0187864\pi\)
0.711800 + 0.702382i \(0.247880\pi\)
\(74\) 1.16301 11.0653i 0.135197 1.28632i
\(75\) −9.88452 2.10102i −1.14137 0.242605i
\(76\) 7.59061 0.870703
\(77\) 0 0
\(78\) 7.26456 0.822549
\(79\) 4.65777 + 0.990040i 0.524040 + 0.111388i 0.462334 0.886706i \(-0.347012\pi\)
0.0617069 + 0.998094i \(0.480346\pi\)
\(80\) −0.323343 + 3.07640i −0.0361508 + 0.343952i
\(81\) −10.1753 4.53035i −1.13059 0.503372i
\(82\) 9.24888 + 10.2719i 1.02137 + 1.13434i
\(83\) 2.85273 8.77980i 0.313128 0.963708i −0.663391 0.748273i \(-0.730883\pi\)
0.976518 0.215435i \(-0.0691168\pi\)
\(84\) −7.93628 0.124443i −0.865919 0.0135778i
\(85\) 1.45729 + 1.05878i 0.158065 + 0.114841i
\(86\) 8.73250 + 1.85615i 0.941649 + 0.200154i
\(87\) 11.4665 + 19.8606i 1.22934 + 2.12928i
\(88\) 0 0
\(89\) −0.182224 + 0.315621i −0.0193157 + 0.0334558i −0.875522 0.483179i \(-0.839482\pi\)
0.856206 + 0.516635i \(0.172815\pi\)
\(90\) 0.660765 + 2.03363i 0.0696508 + 0.214363i
\(91\) 3.24409 3.49126i 0.340073 0.365983i
\(92\) −2.39070 + 1.73694i −0.249247 + 0.181089i
\(93\) −9.46036 10.5068i −0.980993 1.08950i
\(94\) −5.08509 + 1.08087i −0.524487 + 0.111483i
\(95\) −3.22999 1.43808i −0.331390 0.147544i
\(96\) −13.2489 + 5.89879i −1.35221 + 0.602043i
\(97\) −0.802231 2.46901i −0.0814542 0.250690i 0.902033 0.431667i \(-0.142074\pi\)
−0.983487 + 0.180976i \(0.942074\pi\)
\(98\) −8.88637 + 9.26770i −0.897659 + 0.936179i
\(99\) 0 0
\(100\) 3.13555 5.43094i 0.313555 0.543094i
\(101\) 6.62447 7.35722i 0.659159 0.732070i −0.317168 0.948369i \(-0.602732\pi\)
0.976327 + 0.216299i \(0.0693986\pi\)
\(102\) −1.19479 + 11.3677i −0.118302 + 1.12557i
\(103\) −0.651382 6.19749i −0.0641826 0.610657i −0.978584 0.205848i \(-0.934005\pi\)
0.914401 0.404809i \(-0.132662\pi\)
\(104\) 0.648901 1.99711i 0.0636300 0.195833i
\(105\) 3.35350 + 1.55653i 0.327268 + 0.151901i
\(106\) 11.0847 8.05349i 1.07664 0.782224i
\(107\) −10.1393 + 4.51429i −0.980199 + 0.436413i −0.833350 0.552746i \(-0.813580\pi\)
−0.146850 + 0.989159i \(0.546913\pi\)
\(108\) 2.34013 2.59898i 0.225179 0.250087i
\(109\) −7.15202 12.3877i −0.685039 1.18652i −0.973424 0.229008i \(-0.926452\pi\)
0.288385 0.957514i \(-0.406882\pi\)
\(110\) 0 0
\(111\) −13.3370 −1.26589
\(112\) −4.17084 + 12.1832i −0.394107 + 1.15120i
\(113\) 7.02989 + 5.10751i 0.661316 + 0.480474i 0.867107 0.498122i \(-0.165977\pi\)
−0.205791 + 0.978596i \(0.565977\pi\)
\(114\) −2.34518 22.3129i −0.219646 2.08979i
\(115\) 1.34637 0.286180i 0.125550 0.0266864i
\(116\) −13.9206 + 2.95892i −1.29250 + 0.274729i
\(117\) −0.345366 3.28594i −0.0319291 0.303785i
\(118\) 17.5205 + 12.7294i 1.61289 + 1.17183i
\(119\) 4.92963 + 5.65060i 0.451898 + 0.517990i
\(120\) 1.62901 0.148707
\(121\) 0 0
\(122\) 3.97252 + 6.88061i 0.359655 + 0.622942i
\(123\) 11.0866 12.3129i 0.999641 1.11021i
\(124\) 8.01530 3.56864i 0.719795 0.320473i
\(125\) −4.93404 + 3.58479i −0.441314 + 0.320633i
\(126\) 0.791549 + 8.86623i 0.0705168 + 0.789866i
\(127\) −6.48902 + 19.9712i −0.575808 + 1.77215i 0.0576053 + 0.998339i \(0.481654\pi\)
−0.633413 + 0.773814i \(0.718346\pi\)
\(128\) 0.925618 + 8.80667i 0.0818138 + 0.778407i
\(129\) 1.11860 10.6428i 0.0984875 0.937046i
\(130\) 1.40510 1.56052i 0.123235 0.136867i
\(131\) −6.85071 + 11.8658i −0.598549 + 1.03672i 0.394486 + 0.918902i \(0.370923\pi\)
−0.993035 + 0.117816i \(0.962411\pi\)
\(132\) 0 0
\(133\) −11.7706 8.83705i −1.02064 0.766270i
\(134\) 0.908383 + 2.79572i 0.0784724 + 0.241513i
\(135\) −1.48817 + 0.662577i −0.128082 + 0.0570256i
\(136\) 3.01839 + 1.34387i 0.258825 + 0.115236i
\(137\) −7.10581 + 1.51039i −0.607090 + 0.129041i −0.501192 0.865336i \(-0.667105\pi\)
−0.105898 + 0.994377i \(0.533772\pi\)
\(138\) 5.84442 + 6.49089i 0.497510 + 0.552541i
\(139\) −2.10556 + 1.52978i −0.178591 + 0.129754i −0.673490 0.739197i \(-0.735205\pi\)
0.494898 + 0.868951i \(0.335205\pi\)
\(140\) −1.56175 + 1.68075i −0.131992 + 0.142049i
\(141\) 1.92568 + 5.92663i 0.162171 + 0.499112i
\(142\) 3.93632 6.81790i 0.330328 0.572146i
\(143\) 0 0
\(144\) 4.46379 + 7.73152i 0.371983 + 0.644293i
\(145\) 6.48415 + 1.37825i 0.538479 + 0.114457i
\(146\) 23.7332 + 17.2432i 1.96418 + 1.42706i
\(147\) 12.1617 + 9.43245i 1.00308 + 0.777975i
\(148\) 2.55760 7.87148i 0.210233 0.647032i
\(149\) 0.669131 + 0.743145i 0.0548173 + 0.0608808i 0.769930 0.638129i \(-0.220291\pi\)
−0.715112 + 0.699009i \(0.753625\pi\)
\(150\) −16.9332 7.53913i −1.38259 0.615568i
\(151\) 0.181403 1.72593i 0.0147624 0.140454i −0.984658 0.174495i \(-0.944171\pi\)
0.999420 + 0.0340403i \(0.0108375\pi\)
\(152\) −6.34355 1.34836i −0.514530 0.109367i
\(153\) 5.19869 0.420289
\(154\) 0 0
\(155\) −4.08680 −0.328260
\(156\) 5.28584 + 1.12354i 0.423206 + 0.0899551i
\(157\) 0.829913 7.89610i 0.0662343 0.630177i −0.910171 0.414232i \(-0.864050\pi\)
0.976406 0.215945i \(-0.0692832\pi\)
\(158\) 7.97923 + 3.55258i 0.634793 + 0.282628i
\(159\) −10.9896 12.2052i −0.871536 0.967939i
\(160\) −1.29544 + 3.98697i −0.102414 + 0.315198i
\(161\) 5.72935 + 0.0898375i 0.451536 + 0.00708019i
\(162\) −16.5285 12.0086i −1.29860 0.943488i
\(163\) 15.6557 + 3.32772i 1.22625 + 0.260647i 0.775122 0.631812i \(-0.217689\pi\)
0.451128 + 0.892459i \(0.351022\pi\)
\(164\) 5.14101 + 8.90449i 0.401446 + 0.695324i
\(165\) 0 0
\(166\) 8.46652 14.6644i 0.657130 1.13818i
\(167\) −0.358217 1.10248i −0.0277196 0.0853122i 0.936240 0.351362i \(-0.114281\pi\)
−0.963959 + 0.266050i \(0.914281\pi\)
\(168\) 6.61032 + 1.51376i 0.509997 + 0.116789i
\(169\) 7.89219 5.73401i 0.607092 0.441078i
\(170\) 2.21083 + 2.45538i 0.169563 + 0.188319i
\(171\) −9.98117 + 2.12156i −0.763279 + 0.162240i
\(172\) 6.06687 + 2.70114i 0.462594 + 0.205960i
\(173\) 0.907567 0.404075i 0.0690011 0.0307213i −0.371946 0.928254i \(-0.621309\pi\)
0.440947 + 0.897533i \(0.354643\pi\)
\(174\) 12.9987 + 40.0060i 0.985431 + 3.03285i
\(175\) −11.1850 + 4.77117i −0.845503 + 0.360667i
\(176\) 0 0
\(177\) 12.9797 22.4815i 0.975615 1.68982i
\(178\) −0.447305 + 0.496782i −0.0335269 + 0.0372354i
\(179\) 2.05523 19.5542i 0.153615 1.46155i −0.597759 0.801676i \(-0.703942\pi\)
0.751374 0.659876i \(-0.229391\pi\)
\(180\) 0.166265 + 1.58190i 0.0123926 + 0.117908i
\(181\) −7.37705 + 22.7042i −0.548332 + 1.68759i 0.164602 + 0.986360i \(0.447366\pi\)
−0.712933 + 0.701232i \(0.752634\pi\)
\(182\) 7.15184 5.02671i 0.530130 0.372605i
\(183\) 7.70480 5.59787i 0.569555 0.413806i
\(184\) 2.30647 1.02691i 0.170035 0.0757046i
\(185\) −2.57962 + 2.86495i −0.189657 + 0.210636i
\(186\) −12.9665 22.4587i −0.950752 1.64675i
\(187\) 0 0
\(188\) −3.86718 −0.282043
\(189\) −6.65453 + 1.30577i −0.484046 + 0.0949806i
\(190\) −5.24669 3.81194i −0.380635 0.276548i
\(191\) 1.16358 + 11.0708i 0.0841939 + 0.801052i 0.952401 + 0.304849i \(0.0986060\pi\)
−0.868207 + 0.496203i \(0.834727\pi\)
\(192\) −5.08509 + 1.08087i −0.366985 + 0.0780050i
\(193\) 3.53563 0.751522i 0.254500 0.0540957i −0.0788946 0.996883i \(-0.525139\pi\)
0.333395 + 0.942787i \(0.391806\pi\)
\(194\) −0.497747 4.73574i −0.0357361 0.340007i
\(195\) −2.03639 1.47952i −0.145829 0.105951i
\(196\) −7.89925 + 5.36899i −0.564232 + 0.383500i
\(197\) −2.41831 −0.172298 −0.0861489 0.996282i \(-0.527456\pi\)
−0.0861489 + 0.996282i \(0.527456\pi\)
\(198\) 0 0
\(199\) 9.24809 + 16.0182i 0.655580 + 1.13550i 0.981748 + 0.190186i \(0.0609091\pi\)
−0.326168 + 0.945312i \(0.605758\pi\)
\(200\) −3.58514 + 3.98170i −0.253508 + 0.281549i
\(201\) 3.21902 1.43320i 0.227052 0.101090i
\(202\) 14.6911 10.6737i 1.03366 0.751000i
\(203\) 25.0311 + 11.6182i 1.75684 + 0.815437i
\(204\) −2.62749 + 8.08658i −0.183961 + 0.566174i
\(205\) −0.500619 4.76307i −0.0349647 0.332667i
\(206\) 1.19479 11.3677i 0.0832452 0.792025i
\(207\) 2.65814 2.95216i 0.184753 0.205189i
\(208\) 4.38364 7.59270i 0.303951 0.526459i
\(209\) 0 0
\(210\) 5.42312 + 4.07155i 0.374231 + 0.280964i
\(211\) 2.42738 + 7.47072i 0.167108 + 0.514305i 0.999185 0.0403541i \(-0.0128486\pi\)
−0.832078 + 0.554659i \(0.812849\pi\)
\(212\) 9.31099 4.14552i 0.639481 0.284715i
\(213\) −8.62100 3.83832i −0.590701 0.262997i
\(214\) −19.9130 + 4.23265i −1.36123 + 0.289338i
\(215\) −2.06985 2.29880i −0.141163 0.156777i
\(216\) −2.41734 + 1.75630i −0.164479 + 0.119501i
\(217\) −16.5837 3.79768i −1.12578 0.257803i
\(218\) −8.10771 24.9530i −0.549123 1.69003i
\(219\) 17.5823 30.4535i 1.18810 2.05786i
\(220\) 0 0
\(221\) −2.55267 4.42136i −0.171711 0.297413i
\(222\) −23.9287 5.08620i −1.60599 0.341363i
\(223\) −16.4530 11.9538i −1.10177 0.800484i −0.120423 0.992723i \(-0.538425\pi\)
−0.981348 + 0.192239i \(0.938425\pi\)
\(224\) −8.96167 + 14.9748i −0.598777 + 1.00055i
\(225\) −2.60511 + 8.01771i −0.173674 + 0.534514i
\(226\) 10.6649 + 11.8446i 0.709421 + 0.787892i
\(227\) −6.59545 2.93649i −0.437756 0.194901i 0.176012 0.984388i \(-0.443680\pi\)
−0.613768 + 0.789487i \(0.710347\pi\)
\(228\) 1.74452 16.5980i 0.115534 1.09923i
\(229\) −11.8075 2.50977i −0.780264 0.165850i −0.199474 0.979903i \(-0.563923\pi\)
−0.580791 + 0.814053i \(0.697257\pi\)
\(230\) 2.52475 0.166477
\(231\) 0 0
\(232\) 12.1592 0.798291
\(233\) −7.37739 1.56811i −0.483309 0.102731i −0.0401877 0.999192i \(-0.512796\pi\)
−0.443121 + 0.896462i \(0.646129\pi\)
\(234\) 0.633485 6.02721i 0.0414122 0.394011i
\(235\) 1.64558 + 0.732658i 0.107346 + 0.0477934i
\(236\) 10.7795 + 11.9719i 0.701686 + 0.779301i
\(237\) 3.23534 9.95737i 0.210158 0.646800i
\(238\) 6.68962 + 12.0181i 0.433624 + 0.779015i
\(239\) −7.96578 5.78748i −0.515264 0.374361i 0.299553 0.954080i \(-0.403162\pi\)
−0.814817 + 0.579719i \(0.803162\pi\)
\(240\) 6.65268 + 1.41407i 0.429429 + 0.0912779i
\(241\) −0.837515 1.45062i −0.0539491 0.0934426i 0.837790 0.545993i \(-0.183848\pi\)
−0.891739 + 0.452551i \(0.850514\pi\)
\(242\) 0 0
\(243\) −8.40011 + 14.5494i −0.538867 + 0.933346i
\(244\) 1.82633 + 5.62086i 0.116919 + 0.359839i
\(245\) 4.37851 0.788080i 0.279733 0.0503486i
\(246\) 24.5867 17.8633i 1.56759 1.13892i
\(247\) 6.70531 + 7.44700i 0.426649 + 0.473841i
\(248\) −7.33238 + 1.55854i −0.465606 + 0.0989677i
\(249\) −18.5427 8.25573i −1.17509 0.523186i
\(250\) −10.2195 + 4.55004i −0.646341 + 0.287770i
\(251\) 6.11045 + 18.8060i 0.385688 + 1.18703i 0.935980 + 0.352054i \(0.114517\pi\)
−0.550292 + 0.834973i \(0.685483\pi\)
\(252\) −0.795307 + 6.57367i −0.0500997 + 0.414102i
\(253\) 0 0
\(254\) −19.2586 + 33.3568i −1.20839 + 2.09299i
\(255\) 2.65011 2.94324i 0.165956 0.184313i
\(256\) −2.19211 + 20.8566i −0.137007 + 1.30353i
\(257\) −0.284314 2.70507i −0.0177350 0.168737i 0.982069 0.188520i \(-0.0603692\pi\)
−0.999804 + 0.0197829i \(0.993702\pi\)
\(258\) 6.06570 18.6683i 0.377634 1.16224i
\(259\) −13.1300 + 9.22851i −0.815861 + 0.573432i
\(260\) 1.26373 0.918153i 0.0783731 0.0569414i
\(261\) 17.4777 7.78158i 1.08184 0.481668i
\(262\) −16.8164 + 18.6765i −1.03892 + 1.15384i
\(263\) 6.34744 + 10.9941i 0.391400 + 0.677924i 0.992634 0.121148i \(-0.0386576\pi\)
−0.601235 + 0.799073i \(0.705324\pi\)
\(264\) 0 0
\(265\) −4.74744 −0.291633
\(266\) −17.7482 20.3439i −1.08821 1.24737i
\(267\) 0.648272 + 0.470997i 0.0396736 + 0.0288246i
\(268\) 0.228571 + 2.17471i 0.0139622 + 0.132842i
\(269\) 6.93834 1.47479i 0.423038 0.0899195i 0.00852661 0.999964i \(-0.497286\pi\)
0.414511 + 0.910044i \(0.363953\pi\)
\(270\) −2.92270 + 0.621240i −0.177870 + 0.0378074i
\(271\) −1.90411 18.1164i −0.115666 1.10049i −0.886268 0.463173i \(-0.846711\pi\)
0.770601 0.637317i \(-0.219956\pi\)
\(272\) 11.1602 + 8.10836i 0.676686 + 0.491642i
\(273\) −6.88857 7.89606i −0.416915 0.477891i
\(274\) −13.3250 −0.804991
\(275\) 0 0
\(276\) 3.24864 + 5.62680i 0.195545 + 0.338694i
\(277\) −9.26654 + 10.2915i −0.556773 + 0.618359i −0.954162 0.299292i \(-0.903250\pi\)
0.397389 + 0.917650i \(0.369916\pi\)
\(278\) −4.36111 + 1.94169i −0.261562 + 0.116455i
\(279\) −9.54217 + 6.93279i −0.571274 + 0.415055i
\(280\) 1.60373 1.12719i 0.0958414 0.0673626i
\(281\) −6.49953 + 20.0035i −0.387730 + 1.19331i 0.546751 + 0.837295i \(0.315864\pi\)
−0.934481 + 0.356014i \(0.884136\pi\)
\(282\) 1.19479 + 11.3677i 0.0711489 + 0.676937i
\(283\) 0.0368406 0.350514i 0.00218994 0.0208359i −0.993372 0.114941i \(-0.963332\pi\)
0.995562 + 0.0941048i \(0.0299989\pi\)
\(284\) 3.91860 4.35205i 0.232526 0.258247i
\(285\) −3.88692 + 6.73234i −0.230241 + 0.398789i
\(286\) 0 0
\(287\) 2.39465 19.7932i 0.141352 1.16835i
\(288\) 3.73874 + 11.5066i 0.220307 + 0.678036i
\(289\) −8.19182 + 3.64723i −0.481872 + 0.214543i
\(290\) 11.1080 + 4.94560i 0.652284 + 0.290415i
\(291\) −5.58323 + 1.18675i −0.327295 + 0.0695687i
\(292\) 14.6019 + 16.2171i 0.854513 + 0.949033i
\(293\) −2.80183 + 2.03565i −0.163685 + 0.118924i −0.666612 0.745405i \(-0.732256\pi\)
0.502928 + 0.864329i \(0.332256\pi\)
\(294\) 18.2229 + 21.5613i 1.06278 + 1.25748i
\(295\) −2.31881 7.13655i −0.135006 0.415506i
\(296\) −3.53566 + 6.12395i −0.205506 + 0.355947i
\(297\) 0 0
\(298\) 0.917122 + 1.58850i 0.0531274 + 0.0920194i
\(299\) −3.81595 0.811104i −0.220682 0.0469074i
\(300\) −11.1549 8.10451i −0.644029 0.467914i
\(301\) −6.26303 11.2517i −0.360995 0.648536i
\(302\) 0.983669 3.02742i 0.0566038 0.174209i
\(303\) −14.5652 16.1762i −0.836747 0.929301i
\(304\) −24.7359 11.0131i −1.41870 0.631646i
\(305\) 0.287757 2.73782i 0.0164769 0.156767i
\(306\) 9.32729 + 1.98258i 0.533205 + 0.113336i
\(307\) 6.51473 0.371815 0.185908 0.982567i \(-0.440477\pi\)
0.185908 + 0.982567i \(0.440477\pi\)
\(308\) 0 0
\(309\) −13.7014 −0.779447
\(310\) −7.33238 1.55854i −0.416451 0.0885194i
\(311\) −1.21568 + 11.5664i −0.0689346 + 0.655869i 0.904432 + 0.426617i \(0.140295\pi\)
−0.973367 + 0.229252i \(0.926372\pi\)
\(312\) −4.21784 1.87791i −0.238788 0.106315i
\(313\) −18.1319 20.1375i −1.02488 1.13824i −0.990315 0.138838i \(-0.955663\pi\)
−0.0345612 0.999403i \(-0.511003\pi\)
\(314\) 4.50026 13.8504i 0.253964 0.781622i
\(315\) 1.58384 2.64658i 0.0892393 0.149118i
\(316\) 5.25640 + 3.81900i 0.295696 + 0.214836i
\(317\) −3.77733 0.802896i −0.212156 0.0450952i 0.100607 0.994926i \(-0.467921\pi\)
−0.312763 + 0.949831i \(0.601255\pi\)
\(318\) −15.0626 26.0892i −0.844668 1.46301i
\(319\) 0 0
\(320\) −0.751365 + 1.30140i −0.0420026 + 0.0727506i
\(321\) 7.54089 + 23.2085i 0.420892 + 1.29537i
\(322\) 10.2451 + 2.34613i 0.570938 + 0.130745i
\(323\) −12.7560 + 9.26778i −0.709763 + 0.515673i
\(324\) −10.1692 11.2940i −0.564955 0.627446i
\(325\) 8.09803 1.72129i 0.449198 0.0954800i
\(326\) 26.8198 + 11.9409i 1.48541 + 0.661347i
\(327\) −28.7312 + 12.7919i −1.58884 + 0.707396i
\(328\) −2.71464 8.35480i −0.149891 0.461316i
\(329\) 5.99673 + 4.50220i 0.330610 + 0.248214i
\(330\) 0 0
\(331\) −3.07514 + 5.32630i −0.169025 + 0.292760i −0.938077 0.346426i \(-0.887395\pi\)
0.769052 + 0.639186i \(0.220729\pi\)
\(332\) 8.42842 9.36071i 0.462570 0.513736i
\(333\) −1.16301 + 11.0653i −0.0637327 + 0.606376i
\(334\) −0.222257 2.11463i −0.0121613 0.115707i
\(335\) 0.314748 0.968695i 0.0171965 0.0529255i
\(336\) 25.6818 + 11.9202i 1.40105 + 0.650298i
\(337\) −9.51464 + 6.91279i −0.518296 + 0.376564i −0.815961 0.578106i \(-0.803792\pi\)
0.297666 + 0.954670i \(0.403792\pi\)
\(338\) 16.3466 7.27797i 0.889137 0.395869i
\(339\) 12.7840 14.1980i 0.694330 0.771132i
\(340\) 1.22890 + 2.12851i 0.0666462 + 0.115435i
\(341\) 0 0
\(342\) −18.7169 −1.01209
\(343\) 18.4998 + 0.870813i 0.998894 + 0.0470195i
\(344\) −4.59032 3.33506i −0.247493 0.179814i
\(345\) −0.316344 3.00981i −0.0170314 0.162043i
\(346\) 1.78242 0.378865i 0.0958235 0.0203679i
\(347\) −0.822414 + 0.174809i −0.0441495 + 0.00938426i −0.229933 0.973206i \(-0.573851\pi\)
0.185784 + 0.982591i \(0.440518\pi\)
\(348\) 3.27079 + 31.1195i 0.175333 + 1.66818i
\(349\) 7.38773 + 5.36750i 0.395456 + 0.287316i 0.767688 0.640824i \(-0.221407\pi\)
−0.372231 + 0.928140i \(0.621407\pi\)
\(350\) −21.8871 + 4.29475i −1.16992 + 0.229564i
\(351\) 4.61701 0.246438
\(352\) 0 0
\(353\) −11.3639 19.6829i −0.604840 1.04761i −0.992077 0.125633i \(-0.959904\pi\)
0.387237 0.921980i \(-0.373429\pi\)
\(354\) 31.8613 35.3855i 1.69341 1.88072i
\(355\) −2.49198 + 1.10950i −0.132261 + 0.0588862i
\(356\) −0.402300 + 0.292288i −0.0213219 + 0.0154912i
\(357\) 13.4888 9.48069i 0.713905 0.501772i
\(358\) 11.1446 34.2996i 0.589012 1.81279i
\(359\) −2.74058 26.0749i −0.144642 1.37618i −0.790378 0.612620i \(-0.790116\pi\)
0.645735 0.763561i \(-0.276551\pi\)
\(360\) 0.142053 1.35154i 0.00748685 0.0712326i
\(361\) 7.99512 8.87948i 0.420796 0.467341i
\(362\) −21.8941 + 37.9217i −1.15073 + 1.99312i
\(363\) 0 0
\(364\) 5.98126 2.55143i 0.313503 0.133731i
\(365\) −3.14106 9.66718i −0.164410 0.506003i
\(366\) 15.9585 7.10516i 0.834162 0.371393i
\(367\) −3.49179 1.55465i −0.182270 0.0811518i 0.313573 0.949564i \(-0.398474\pi\)
−0.495843 + 0.868412i \(0.665141\pi\)
\(368\) 10.3108 2.19162i 0.537486 0.114246i
\(369\) −9.24888 10.2719i −0.481478 0.534735i
\(370\) −5.72082 + 4.15642i −0.297412 + 0.216082i
\(371\) −19.2645 4.41158i −1.00017 0.229038i
\(372\) −5.96123 18.3468i −0.309075 0.951236i
\(373\) 7.55387 13.0837i 0.391124 0.677447i −0.601474 0.798893i \(-0.705420\pi\)
0.992598 + 0.121445i \(0.0387529\pi\)
\(374\) 0 0
\(375\) 6.70469 + 11.6129i 0.346229 + 0.599686i
\(376\) 3.23184 + 0.686948i 0.166669 + 0.0354266i
\(377\) −15.2000 11.0434i −0.782839 0.568766i
\(378\) −12.4373 0.195019i −0.639704 0.0100307i
\(379\) −3.51552 + 10.8196i −0.180580 + 0.555768i −0.999844 0.0176481i \(-0.994382\pi\)
0.819264 + 0.573416i \(0.194382\pi\)
\(380\) −3.22804 3.58510i −0.165595 0.183912i
\(381\) 42.1785 + 18.7791i 2.16087 + 0.962082i
\(382\) −2.13429 + 20.3065i −0.109200 + 1.03897i
\(383\) −8.69155 1.84745i −0.444117 0.0944001i −0.0195756 0.999808i \(-0.506231\pi\)
−0.424542 + 0.905408i \(0.639565\pi\)
\(384\) 19.4698 0.993564
\(385\) 0 0
\(386\) 6.63009 0.337463
\(387\) −8.73250 1.85615i −0.443898 0.0943534i
\(388\) 0.370262 3.52280i 0.0187972 0.178843i
\(389\) −18.1787 8.09366i −0.921695 0.410365i −0.109657 0.993970i \(-0.534975\pi\)
−0.812038 + 0.583604i \(0.801642\pi\)
\(390\) −3.08938 3.43110i −0.156437 0.173741i
\(391\) 1.89683 5.83785i 0.0959270 0.295233i
\(392\) 7.55520 3.08373i 0.381595 0.155752i
\(393\) 24.3718 + 17.7071i 1.22939 + 0.893207i
\(394\) −4.33884 0.922250i −0.218588 0.0464623i
\(395\) −1.51320 2.62093i −0.0761371 0.131873i
\(396\) 0 0
\(397\) 17.4303 30.1902i 0.874803 1.51520i 0.0178296 0.999841i \(-0.494324\pi\)
0.856973 0.515361i \(-0.172342\pi\)
\(398\) 10.4839 + 32.2660i 0.525509 + 1.61735i
\(399\) −22.0287 + 23.7071i −1.10281 + 1.18684i
\(400\) −18.0976 + 13.1487i −0.904882 + 0.657435i
\(401\) 7.62561 + 8.46910i 0.380805 + 0.422927i 0.902826 0.430006i \(-0.141489\pi\)
−0.522021 + 0.852932i \(0.674822\pi\)
\(402\) 6.32201 1.34379i 0.315313 0.0670219i
\(403\) 10.5816 + 4.71122i 0.527106 + 0.234683i
\(404\) 12.3403 5.49428i 0.613955 0.273350i
\(405\) 2.18752 + 6.73249i 0.108699 + 0.334540i
\(406\) 40.4792 + 30.3908i 2.00895 + 1.50827i
\(407\) 0 0
\(408\) 3.63228 6.29129i 0.179825 0.311465i
\(409\) 2.73533 3.03789i 0.135253 0.150214i −0.671713 0.740811i \(-0.734441\pi\)
0.806966 + 0.590597i \(0.201108\pi\)
\(410\) 0.918257 8.73663i 0.0453495 0.431471i
\(411\) 1.66958 + 15.8850i 0.0823545 + 0.783551i
\(412\) 2.62749 8.08658i 0.129447 0.398397i
\(413\) −2.77776 31.1140i −0.136685 1.53102i
\(414\) 5.89496 4.28294i 0.289722 0.210495i
\(415\) −5.35993 + 2.38640i −0.263109 + 0.117144i
\(416\) 7.95032 8.82972i 0.389796 0.432913i
\(417\) 2.86118 + 4.95570i 0.140112 + 0.242682i
\(418\) 0 0
\(419\) 32.8002 1.60240 0.801198 0.598399i \(-0.204196\pi\)
0.801198 + 0.598399i \(0.204196\pi\)
\(420\) 3.31626 + 3.80128i 0.161817 + 0.185484i
\(421\) 6.89386 + 5.00868i 0.335986 + 0.244108i 0.742966 0.669329i \(-0.233418\pi\)
−0.406980 + 0.913437i \(0.633418\pi\)
\(422\) 1.50608 + 14.3294i 0.0733147 + 0.697543i
\(423\) 5.08509 1.08087i 0.247245 0.0525536i
\(424\) −8.51767 + 1.81049i −0.413655 + 0.0879251i
\(425\) 1.36163 + 12.9550i 0.0660487 + 0.628411i
\(426\) −14.0037 10.1743i −0.678480 0.492945i
\(427\) 3.71181 10.8423i 0.179627 0.524698i
\(428\) −15.1437 −0.732000
\(429\) 0 0
\(430\) −2.83697 4.91378i −0.136811 0.236964i
\(431\) 11.1975 12.4360i 0.539363 0.599023i −0.410434 0.911890i \(-0.634623\pi\)
0.949797 + 0.312867i \(0.101289\pi\)
\(432\) −11.3967 + 5.07414i −0.548325 + 0.244130i
\(433\) 20.9261 15.2037i 1.00564 0.730644i 0.0423535 0.999103i \(-0.486514\pi\)
0.963291 + 0.268459i \(0.0865144\pi\)
\(434\) −28.3056 13.1380i −1.35871 0.630646i
\(435\) 4.50397 13.8618i 0.215949 0.664622i
\(436\) −2.04009 19.4102i −0.0977028 0.929580i
\(437\) −1.25940 + 11.9824i −0.0602453 + 0.573196i
\(438\) 43.1593 47.9333i 2.06223 2.29034i
\(439\) −4.78430 + 8.28665i −0.228342 + 0.395500i −0.957317 0.289040i \(-0.906664\pi\)
0.728975 + 0.684541i \(0.239997\pi\)
\(440\) 0 0
\(441\) 8.88637 9.26770i 0.423161 0.441319i
\(442\) −2.89377 8.90612i −0.137643 0.423621i
\(443\) 17.3875 7.74139i 0.826103 0.367805i 0.0502640 0.998736i \(-0.483994\pi\)
0.775839 + 0.630931i \(0.217327\pi\)
\(444\) −16.6243 7.40163i −0.788956 0.351266i
\(445\) 0.226564 0.0481577i 0.0107402 0.00228289i
\(446\) −24.9605 27.7215i −1.18192 1.31265i
\(447\) 1.77878 1.29236i 0.0841333 0.0611264i
\(448\) −4.25828 + 4.58272i −0.201185 + 0.216513i
\(449\) 10.3034 + 31.7105i 0.486246 + 1.49651i 0.830167 + 0.557514i \(0.188245\pi\)
−0.343921 + 0.938999i \(0.611755\pi\)
\(450\) −7.73163 + 13.3916i −0.364472 + 0.631285i
\(451\) 0 0
\(452\) 5.92813 + 10.2678i 0.278836 + 0.482958i
\(453\) −3.73231 0.793328i −0.175359 0.0372738i
\(454\) −10.7134 7.78377i −0.502807 0.365311i
\(455\) −3.02855 0.0474884i −0.141981 0.00222629i
\(456\) −4.40630 + 13.5612i −0.206344 + 0.635062i
\(457\) −8.00315 8.88840i −0.374372 0.415782i 0.526289 0.850306i \(-0.323583\pi\)
−0.900660 + 0.434524i \(0.856917\pi\)
\(458\) −20.2275 9.00586i −0.945169 0.420816i
\(459\) −0.759353 + 7.22476i −0.0354436 + 0.337223i
\(460\) 1.83705 + 0.390478i 0.0856531 + 0.0182061i
\(461\) −12.4896 −0.581701 −0.290850 0.956769i \(-0.593938\pi\)
−0.290850 + 0.956769i \(0.593938\pi\)
\(462\) 0 0
\(463\) 12.3095 0.572071 0.286035 0.958219i \(-0.407662\pi\)
0.286035 + 0.958219i \(0.407662\pi\)
\(464\) 49.6568 + 10.5549i 2.30526 + 0.489998i
\(465\) −0.939252 + 8.93639i −0.0435568 + 0.414415i
\(466\) −12.6382 5.62689i −0.585454 0.260661i
\(467\) 21.9212 + 24.3460i 1.01439 + 1.12660i 0.991922 + 0.126850i \(0.0404867\pi\)
0.0224711 + 0.999747i \(0.492847\pi\)
\(468\) 1.39311 4.28754i 0.0643964 0.198192i
\(469\) 2.17737 3.63837i 0.100542 0.168004i
\(470\) 2.67302 + 1.94206i 0.123297 + 0.0895808i
\(471\) −17.0752 3.62945i −0.786785 0.167236i
\(472\) −6.88191 11.9198i −0.316766 0.548654i
\(473\) 0 0
\(474\) 9.60208 16.6313i 0.441038 0.763900i
\(475\) −7.90113 24.3172i −0.362529 1.11575i
\(476\) 3.00878 + 9.77920i 0.137907 + 0.448229i
\(477\) −11.0847 + 8.05349i −0.507533 + 0.368744i
\(478\) −12.0848 13.4215i −0.552745 0.613885i
\(479\) 25.4103 5.40113i 1.16103 0.246784i 0.413176 0.910651i \(-0.364419\pi\)
0.747850 + 0.663867i \(0.231086\pi\)
\(480\) 8.42037 + 3.74899i 0.384335 + 0.171117i
\(481\) 9.98186 4.44421i 0.455133 0.202638i
\(482\) −0.949428 2.92204i −0.0432452 0.133095i
\(483\) 1.51320 12.5074i 0.0688528 0.569107i
\(484\) 0 0
\(485\) −0.824970 + 1.42889i −0.0374600 + 0.0648825i
\(486\) −20.6197 + 22.9005i −0.935330 + 1.03879i
\(487\) −1.51939 + 14.4560i −0.0688502 + 0.655066i 0.904615 + 0.426230i \(0.140159\pi\)
−0.973465 + 0.228836i \(0.926508\pi\)
\(488\) −0.527816 5.02183i −0.0238931 0.227328i
\(489\) 10.8746 33.4687i 0.491768 1.51351i
\(490\) 8.15629 + 0.255848i 0.368463 + 0.0115580i
\(491\) −31.8714 + 23.1559i −1.43834 + 1.04501i −0.449949 + 0.893054i \(0.648558\pi\)
−0.988387 + 0.151958i \(0.951442\pi\)
\(492\) 20.6525 9.19509i 0.931087 0.414547i
\(493\) 19.7809 21.9689i 0.890886 0.989429i
\(494\) 9.19041 + 15.9183i 0.413496 + 0.716196i
\(495\) 0 0
\(496\) −31.2975 −1.40530
\(497\) −11.1432 + 2.18654i −0.499839 + 0.0980796i
\(498\) −30.1201 21.8836i −1.34972 0.980626i
\(499\) 2.74184 + 26.0868i 0.122742 + 1.16781i 0.866436 + 0.499288i \(0.166405\pi\)
−0.743695 + 0.668520i \(0.766928\pi\)
\(500\) −8.13966 + 1.73014i −0.364016 + 0.0773741i
\(501\) −2.49306 + 0.529915i −0.111381 + 0.0236749i
\(502\) 3.79125 + 36.0713i 0.169212 + 1.60994i
\(503\) 3.19249 + 2.31948i 0.142346 + 0.103420i 0.656679 0.754170i \(-0.271961\pi\)
−0.514333 + 0.857590i \(0.671961\pi\)
\(504\) 1.83236 5.35240i 0.0816199 0.238415i
\(505\) −6.29204 −0.279992
\(506\) 0 0
\(507\) −10.7244 18.5753i −0.476289 0.824956i
\(508\) −19.1719 + 21.2925i −0.850615 + 0.944703i
\(509\) 15.4440 6.87612i 0.684544 0.304778i −0.0348386 0.999393i \(-0.511092\pi\)
0.719382 + 0.694615i \(0.244425\pi\)
\(510\) 5.87715 4.27000i 0.260245 0.189079i
\(511\) −3.76276 42.1471i −0.166455 1.86448i
\(512\) −6.41407 + 19.7405i −0.283465 + 0.872414i
\(513\) −1.49048 14.1810i −0.0658064 0.626106i
\(514\) 0.521501 4.96175i 0.0230024 0.218853i
\(515\) −2.65011 + 2.94324i −0.116778 + 0.129695i
\(516\) 7.30077 12.6453i 0.321398 0.556678i
\(517\) 0 0
\(518\) −27.0768 + 11.5502i −1.18969 + 0.507485i
\(519\) −0.674987 2.07740i −0.0296286 0.0911876i
\(520\) −1.21921 + 0.542826i −0.0534658 + 0.0238045i
\(521\) 1.42301 + 0.633566i 0.0623433 + 0.0277570i 0.437671 0.899135i \(-0.355803\pi\)
−0.375328 + 0.926892i \(0.622470\pi\)
\(522\) 34.3254 7.29609i 1.50238 0.319341i
\(523\) 8.36596 + 9.29134i 0.365818 + 0.406282i 0.897750 0.440505i \(-0.145201\pi\)
−0.531932 + 0.846787i \(0.678534\pi\)
\(524\) −15.1245 + 10.9886i −0.660716 + 0.480038i
\(525\) 7.86227 + 25.5541i 0.343138 + 1.11527i
\(526\) 7.19561 + 22.1458i 0.313744 + 0.965604i
\(527\) −9.11254 + 15.7834i −0.396949 + 0.687535i
\(528\) 0 0
\(529\) 9.15475 + 15.8565i 0.398033 + 0.689413i
\(530\) −8.51767 1.81049i −0.369984 0.0786426i
\(531\) −17.5205 12.7294i −0.760323 0.552407i
\(532\) −9.76752 17.5476i −0.423476 0.760784i
\(533\) −4.19461 + 12.9097i −0.181689 + 0.559181i
\(534\) 0.983485 + 1.09227i 0.0425596 + 0.0472672i
\(535\) 6.44403 + 2.86907i 0.278600 + 0.124041i
\(536\) 0.195287 1.85803i 0.00843510 0.0802546i
\(537\) −42.2858 8.98813i −1.82477 0.387867i
\(538\) 13.0109 0.560941
\(539\) 0 0
\(540\) −2.22270 −0.0956497
\(541\) −16.2001 3.44344i −0.696498 0.148045i −0.153961 0.988077i \(-0.549203\pi\)
−0.542537 + 0.840032i \(0.682536\pi\)
\(542\) 3.49259 33.2298i 0.150020 1.42734i
\(543\) 47.9507 + 21.3490i 2.05776 + 0.916174i
\(544\) 12.5093 + 13.8930i 0.536332 + 0.595658i
\(545\) −2.80926 + 8.64602i −0.120336 + 0.370355i
\(546\) −9.34796 16.7938i −0.400056 0.718709i
\(547\) −5.37550 3.90553i −0.229840 0.166988i 0.466905 0.884307i \(-0.345369\pi\)
−0.696745 + 0.717319i \(0.745369\pi\)
\(548\) −9.69551 2.06084i −0.414172 0.0880349i
\(549\) −3.97252 6.88061i −0.169543 0.293657i
\(550\) 0 0
\(551\) −29.0127 + 50.2514i −1.23598 + 2.14078i
\(552\) −1.71540 5.27944i −0.0730121 0.224708i
\(553\) −3.70485 12.0416i −0.157546 0.512059i
\(554\) −20.5505 + 14.9308i −0.873105 + 0.634348i
\(555\) 5.67178 + 6.29915i 0.240754 + 0.267384i
\(556\) −3.47354 + 0.738323i −0.147311 + 0.0313119i
\(557\) −11.9783 5.33309i −0.507537 0.225970i 0.136960 0.990577i \(-0.456267\pi\)
−0.644498 + 0.764606i \(0.722933\pi\)
\(558\) −19.7641 + 8.79953i −0.836680 + 0.372514i
\(559\) 2.70924 + 8.33819i 0.114589 + 0.352668i
\(560\) 7.52793 3.21119i 0.318113 0.135698i
\(561\) 0 0
\(562\) −19.2898 + 33.4108i −0.813689 + 1.40935i
\(563\) −20.4008 + 22.6574i −0.859792 + 0.954896i −0.999376 0.0353141i \(-0.988757\pi\)
0.139584 + 0.990210i \(0.455423\pi\)
\(564\) −0.888777 + 8.45615i −0.0374243 + 0.356068i
\(565\) −0.577266 5.49232i −0.0242858 0.231064i
\(566\) 0.199770 0.614830i 0.00839697 0.0258432i
\(567\) 2.62049 + 29.3524i 0.110050 + 1.23268i
\(568\) −4.04789 + 2.94097i −0.169846 + 0.123400i
\(569\) 32.3011 14.3814i 1.35413 0.602898i 0.404003 0.914758i \(-0.367619\pi\)
0.950128 + 0.311860i \(0.100952\pi\)
\(570\) −9.54120 + 10.5966i −0.399637 + 0.443842i
\(571\) −20.6422 35.7533i −0.863849 1.49623i −0.868185 0.496240i \(-0.834713\pi\)
0.00433587 0.999991i \(-0.498620\pi\)
\(572\) 0 0
\(573\) 24.4753 1.02247
\(574\) 11.8447 34.5989i 0.494389 1.44413i
\(575\) 8.05294 + 5.85080i 0.335831 + 0.243995i
\(576\) 0.453337 + 4.31321i 0.0188890 + 0.179717i
\(577\) −8.51233 + 1.80935i −0.354373 + 0.0753243i −0.381659 0.924303i \(-0.624647\pi\)
0.0272855 + 0.999628i \(0.491314\pi\)
\(578\) −16.0884 + 3.41969i −0.669187 + 0.142240i
\(579\) −0.830733 7.90390i −0.0345241 0.328475i
\(580\) 7.31751 + 5.31648i 0.303843 + 0.220755i
\(581\) −23.9675 + 4.70296i −0.994341 + 0.195112i
\(582\) −10.4698 −0.433987
\(583\) 0 0
\(584\) −9.32224 16.1466i −0.385757 0.668151i
\(585\) −1.40510 + 1.56052i −0.0580937 + 0.0645196i
\(586\) −5.80325 + 2.58377i −0.239730 + 0.106735i
\(587\) 18.6510 13.5507i 0.769808 0.559298i −0.132095 0.991237i \(-0.542170\pi\)
0.901903 + 0.431939i \(0.142170\pi\)
\(588\) 9.92464 + 18.5068i 0.409285 + 0.763207i
\(589\) 11.0544 34.0219i 0.455488 1.40185i
\(590\) −1.43871 13.6884i −0.0592308 0.563543i
\(591\) −0.555791 + 5.28800i −0.0228622 + 0.217519i
\(592\) −19.7552 + 21.9404i −0.811933 + 0.901743i
\(593\) 15.0494 26.0663i 0.618005 1.07042i −0.371844 0.928295i \(-0.621275\pi\)
0.989849 0.142121i \(-0.0453921\pi\)
\(594\) 0 0
\(595\) 0.572413 4.73131i 0.0234666 0.193965i
\(596\) 0.421638 + 1.29767i 0.0172710 + 0.0531545i
\(597\) 37.1515 16.5409i 1.52051 0.676975i
\(598\) −6.53710 2.91050i −0.267322 0.119019i
\(599\) −28.6123 + 6.08172i −1.16907 + 0.248492i −0.751236 0.660033i \(-0.770542\pi\)
−0.417829 + 0.908526i \(0.637209\pi\)
\(600\) 7.88261 + 8.75453i 0.321806 + 0.357402i
\(601\) −21.6996 + 15.7657i −0.885147 + 0.643097i −0.934608 0.355679i \(-0.884250\pi\)
0.0494611 + 0.998776i \(0.484250\pi\)
\(602\) −6.94594 22.5758i −0.283095 0.920121i
\(603\) −0.908383 2.79572i −0.0369922 0.113850i
\(604\) 1.18396 2.05068i 0.0481746 0.0834409i
\(605\) 0 0
\(606\) −19.9633 34.5774i −0.810952 1.40461i
\(607\) 31.5058 + 6.69675i 1.27878 + 0.271813i 0.796732 0.604333i \(-0.206560\pi\)
0.482047 + 0.876145i \(0.339893\pi\)
\(608\) −29.6868 21.5687i −1.20396 0.874727i
\(609\) 31.1577 52.0641i 1.26257 2.10974i
\(610\) 1.56038 4.80235i 0.0631779 0.194442i
\(611\) −3.41614 3.79401i −0.138202 0.153489i
\(612\) 6.48009 + 2.88512i 0.261942 + 0.116624i
\(613\) 4.66145 44.3507i 0.188274 1.79131i −0.338157 0.941090i \(-0.609803\pi\)
0.526431 0.850218i \(-0.323530\pi\)
\(614\) 11.6885 + 2.48446i 0.471709 + 0.100265i
\(615\) −10.5302 −0.424619
\(616\) 0 0
\(617\) −0.531290 −0.0213889 −0.0106945 0.999943i \(-0.503404\pi\)
−0.0106945 + 0.999943i \(0.503404\pi\)
\(618\) −24.5825 5.22518i −0.988855 0.210188i
\(619\) −4.36357 + 41.5166i −0.175387 + 1.66869i 0.453546 + 0.891233i \(0.350159\pi\)
−0.628933 + 0.777460i \(0.716508\pi\)
\(620\) −5.09414 2.26806i −0.204585 0.0910873i
\(621\) 3.71444 + 4.12530i 0.149055 + 0.165543i
\(622\) −6.59208 + 20.2883i −0.264318 + 0.813488i
\(623\) 0.964120 + 0.0151176i 0.0386267 + 0.000605675i
\(624\) −15.5951 11.3305i −0.624302 0.453582i
\(625\) −18.6868 3.97200i −0.747472 0.158880i
\(626\) −24.8519 43.0448i −0.993282 1.72041i
\(627\) 0 0
\(628\) 5.41658 9.38179i 0.216145 0.374374i
\(629\) 5.31267 + 16.3507i 0.211830 + 0.651945i
\(630\) 3.85096 4.14437i 0.153426 0.165116i
\(631\) 0.175749 0.127689i 0.00699646 0.00508323i −0.584282 0.811551i \(-0.698624\pi\)
0.591278 + 0.806468i \(0.298624\pi\)
\(632\) −3.71444 4.12530i −0.147752 0.164096i
\(633\) 16.8937 3.59086i 0.671464 0.142724i
\(634\) −6.47094 2.88105i −0.256994 0.114421i
\(635\) 12.1921 5.42827i 0.483828 0.215414i
\(636\) −6.92488 21.3126i −0.274589 0.845099i
\(637\) −12.2454 3.00700i −0.485179 0.119142i
\(638\) 0 0
\(639\) −3.93632 + 6.81790i −0.155718 + 0.269712i
\(640\) 3.76582 4.18236i 0.148857 0.165322i
\(641\) 1.01293 9.63742i 0.0400085 0.380655i −0.956136 0.292924i \(-0.905372\pi\)
0.996144 0.0877311i \(-0.0279616\pi\)
\(642\) 4.67877 + 44.5155i 0.184656 + 1.75689i
\(643\) 5.08742 15.6575i 0.200628 0.617471i −0.799236 0.601017i \(-0.794762\pi\)
0.999865 0.0164538i \(-0.00523763\pi\)
\(644\) 7.09169 + 3.29160i 0.279452 + 0.129707i
\(645\) −5.50237 + 3.99771i −0.216656 + 0.157410i
\(646\) −26.4207 + 11.7632i −1.03951 + 0.462819i
\(647\) 0.584634 0.649302i 0.0229843 0.0255267i −0.731543 0.681795i \(-0.761199\pi\)
0.754527 + 0.656269i \(0.227866\pi\)
\(648\) 6.49226 + 11.2449i 0.255040 + 0.441743i
\(649\) 0 0
\(650\) 15.1856 0.595628
\(651\) −12.1155 + 35.3900i −0.474846 + 1.38704i
\(652\) 17.6678 + 12.8364i 0.691925 + 0.502713i
\(653\) 4.17414 + 39.7143i 0.163347 + 1.55414i 0.702347 + 0.711835i \(0.252135\pi\)
−0.539000 + 0.842306i \(0.681198\pi\)
\(654\) −56.4266 + 11.9939i −2.20646 + 0.468997i
\(655\) 8.51767 1.81049i 0.332813 0.0707416i
\(656\) −3.83383 36.4765i −0.149686 1.42417i
\(657\) −23.7332 17.2432i −0.925922 0.672721i
\(658\) 9.04213 + 10.3646i 0.352499 + 0.404054i
\(659\) 6.89465 0.268578 0.134289 0.990942i \(-0.457125\pi\)
0.134289 + 0.990942i \(0.457125\pi\)
\(660\) 0 0
\(661\) 20.0072 + 34.6535i 0.778190 + 1.34786i 0.932984 + 0.359917i \(0.117195\pi\)
−0.154795 + 0.987947i \(0.549472\pi\)
\(662\) −7.54854 + 8.38350i −0.293382 + 0.325834i
\(663\) −10.2546 + 4.56565i −0.398257 + 0.177315i
\(664\) −8.70650 + 6.32565i −0.337878 + 0.245483i
\(665\) 0.831831 + 9.31743i 0.0322570 + 0.361314i
\(666\) −6.30651 + 19.4094i −0.244372 + 0.752101i
\(667\) −2.36125 22.4658i −0.0914279 0.869879i
\(668\) 0.165331 1.57302i 0.00639686 0.0608620i
\(669\) −29.9200 + 33.2295i −1.15677 + 1.28473i
\(670\) 0.934131 1.61796i 0.0360886 0.0625073i
\(671\) 0 0
\(672\) 30.6851 + 23.0376i 1.18370 + 0.888695i
\(673\) −9.69659 29.8430i −0.373776 1.15036i −0.944301 0.329084i \(-0.893260\pi\)
0.570524 0.821281i \(-0.306740\pi\)
\(674\) −19.7071 + 8.77415i −0.759088 + 0.337968i
\(675\) −10.7619 4.79151i −0.414226 0.184425i
\(676\) 13.0197 2.76743i 0.500758 0.106439i
\(677\) 24.4443 + 27.1482i 0.939473 + 1.04339i 0.998980 + 0.0451622i \(0.0143805\pi\)
−0.0595071 + 0.998228i \(0.518953\pi\)
\(678\) 28.3511 20.5983i 1.08882 0.791071i
\(679\) −4.67543 + 5.03165i −0.179427 + 0.193097i
\(680\) −0.648901 1.99711i −0.0248842 0.0765858i
\(681\) −7.93686 + 13.7470i −0.304141 + 0.526788i
\(682\) 0 0
\(683\) 7.63501 + 13.2242i 0.292146 + 0.506011i 0.974317 0.225181i \(-0.0722975\pi\)
−0.682171 + 0.731192i \(0.738964\pi\)
\(684\) −13.6188 2.89476i −0.520727 0.110684i
\(685\) 3.73524 + 2.71381i 0.142716 + 0.103689i
\(686\) 32.8595 + 8.61746i 1.25458 + 0.329016i
\(687\) −8.20166 + 25.2421i −0.312913 + 0.963046i
\(688\) −15.8513 17.6047i −0.604326 0.671172i
\(689\) 12.2921 + 5.47281i 0.468293 + 0.208497i
\(690\) 0.580252 5.52073i 0.0220898 0.210170i
\(691\) 37.5455 + 7.98054i 1.42830 + 0.303594i 0.856223 0.516607i \(-0.172805\pi\)
0.572076 + 0.820201i \(0.306138\pi\)
\(692\) 1.35552 0.0515291
\(693\) 0 0
\(694\) −1.54221 −0.0585414
\(695\) 1.61795 + 0.343906i 0.0613724 + 0.0130451i
\(696\) 2.79450 26.5879i 0.105925 1.00781i
\(697\) −19.5114 8.68704i −0.739048 0.329045i
\(698\) 11.2078 + 12.4475i 0.424222 + 0.471147i
\(699\) −5.12442 + 15.7714i −0.193824 + 0.596528i
\(700\) −16.5897 0.260131i −0.627033 0.00983202i
\(701\) 14.4859 + 10.5246i 0.547125 + 0.397510i 0.826724 0.562607i \(-0.190202\pi\)
−0.279599 + 0.960117i \(0.590202\pi\)
\(702\) 8.28365 + 1.76074i 0.312646 + 0.0664550i
\(703\) −16.8726 29.2243i −0.636364 1.10221i
\(704\) 0 0
\(705\) 1.98026 3.42991i 0.0745809 0.129178i
\(706\) −12.8824 39.6480i −0.484836 1.49217i
\(707\) −25.5323 5.84690i −0.960242 0.219895i
\(708\) 28.6556 20.8195i 1.07694 0.782446i
\(709\) 23.0177 + 25.5637i 0.864447 + 0.960065i 0.999527 0.0307693i \(-0.00979571\pi\)
−0.135080 + 0.990835i \(0.543129\pi\)
\(710\) −4.89413 + 1.04028i −0.183673 + 0.0390410i
\(711\) −7.97923 3.55258i −0.299245 0.133232i
\(712\) 0.388127 0.172805i 0.0145457 0.00647615i
\(713\) 4.30353 + 13.2449i 0.161168 + 0.496025i
\(714\) 27.8167 11.8658i 1.04101 0.444066i
\(715\) 0 0
\(716\) 13.4138 23.2335i 0.501299 0.868276i
\(717\) −14.4859 + 16.0882i −0.540986 + 0.600826i
\(718\) 5.02690 47.8277i 0.187602 1.78491i
\(719\) −5.16551 49.1465i −0.192641 1.83286i −0.482628 0.875825i \(-0.660318\pi\)
0.289987 0.957030i \(-0.406349\pi\)
\(720\) 1.75335 5.39624i 0.0653433 0.201106i
\(721\) −13.4888 + 9.48069i −0.502350 + 0.353079i
\(722\) 17.7308 12.8822i 0.659873 0.479425i
\(723\) −3.36447 + 1.49796i −0.125126 + 0.0557097i
\(724\) −21.7956 + 24.2064i −0.810026 + 0.899625i
\(725\) 23.9693 + 41.5160i 0.890196 + 1.54186i
\(726\) 0 0
\(727\) −19.8201 −0.735086 −0.367543 0.930007i \(-0.619801\pi\)
−0.367543 + 0.930007i \(0.619801\pi\)
\(728\) −5.45182 + 1.06977i −0.202058 + 0.0396482i
\(729\) 2.85070 + 2.07116i 0.105582 + 0.0767095i
\(730\) −1.94888 18.5423i −0.0721312 0.686283i
\(731\) −13.4933 + 2.86809i −0.499068 + 0.106080i
\(732\) 12.7106 2.70172i 0.469797 0.0998583i
\(733\) −3.20354 30.4797i −0.118326 1.12579i −0.879054 0.476722i \(-0.841825\pi\)
0.760729 0.649070i \(-0.224842\pi\)
\(734\) −5.67195 4.12091i −0.209356 0.152106i
\(735\) −0.716959 9.75537i −0.0264454 0.359832i
\(736\) 14.2855 0.526570
\(737\) 0 0
\(738\) −12.6767 21.9566i −0.466635 0.808235i
\(739\) −11.4434 + 12.7092i −0.420952 + 0.467514i −0.915899 0.401409i \(-0.868521\pi\)
0.494947 + 0.868923i \(0.335187\pi\)
\(740\) −4.80542 + 2.13951i −0.176651 + 0.0786500i
\(741\) 17.8250 12.9506i 0.654818 0.475753i
\(742\) −32.8813 15.2618i −1.20711 0.560279i
\(743\) 2.15463 6.63127i 0.0790457 0.243278i −0.903723 0.428118i \(-0.859177\pi\)
0.982769 + 0.184840i \(0.0591768\pi\)
\(744\) 1.72282 + 16.3915i 0.0631615 + 0.600942i
\(745\) 0.0664333 0.632070i 0.00243393 0.0231573i
\(746\) 18.5424 20.5935i 0.678887 0.753981i
\(747\) −8.46652 + 14.6644i −0.309774 + 0.536544i
\(748\) 0 0
\(749\) 23.4830 + 17.6305i 0.858050 + 0.644203i
\(750\) 7.60060 + 23.3923i 0.277535 + 0.854164i
\(751\) 13.9158 6.19570i 0.507794 0.226084i −0.136815 0.990597i \(-0.543687\pi\)
0.644609 + 0.764512i \(0.277020\pi\)
\(752\) 12.6021 + 5.61084i 0.459553 + 0.204606i
\(753\) 42.5265 9.03928i 1.54975 0.329410i
\(754\) −23.0597 25.6104i −0.839784 0.932675i
\(755\) −0.892315 + 0.648305i −0.0324747 + 0.0235942i
\(756\) −9.01944 2.06545i −0.328034 0.0751197i
\(757\) −4.49082 13.8213i −0.163222 0.502344i 0.835679 0.549218i \(-0.185074\pi\)
−0.998901 + 0.0468735i \(0.985074\pi\)
\(758\) −10.4336 + 18.0715i −0.378965 + 0.656387i
\(759\) 0 0
\(760\) 2.06086 + 3.56952i 0.0747553 + 0.129480i
\(761\) −1.67598 0.356241i −0.0607543 0.0129137i 0.177434 0.984133i \(-0.443220\pi\)
−0.238189 + 0.971219i \(0.576554\pi\)
\(762\) 68.5134 + 49.7779i 2.48198 + 1.80326i
\(763\) −19.4340 + 32.4740i −0.703558 + 1.17564i
\(764\) −4.69356 + 14.4453i −0.169807 + 0.522612i
\(765\) −2.21083 2.45538i −0.0799328 0.0887744i
\(766\) −14.8895 6.62923i −0.537979 0.239524i
\(767\) −2.22307 + 21.1511i −0.0802705 + 0.763723i
\(768\) 45.1021 + 9.58675i 1.62748 + 0.345932i
\(769\) 36.5874 1.31937 0.659687 0.751540i \(-0.270689\pi\)
0.659687 + 0.751540i \(0.270689\pi\)
\(770\) 0 0
\(771\) −5.98037 −0.215378
\(772\) 4.82419 + 1.02541i 0.173626 + 0.0369054i
\(773\) −2.80357 + 26.6742i −0.100838 + 0.959405i 0.820764 + 0.571268i \(0.193548\pi\)
−0.921601 + 0.388138i \(0.873119\pi\)
\(774\) −14.9596 6.66046i −0.537713 0.239405i
\(775\) −19.7756 21.9631i −0.710361 0.788936i
\(776\) −0.935206 + 2.87827i −0.0335719 + 0.103324i
\(777\) 17.1619 + 30.8317i 0.615679 + 1.10608i
\(778\) −29.5288 21.4540i −1.05866 0.769162i
\(779\) 41.0059 + 8.71606i 1.46919 + 0.312285i
\(780\) −1.71724 2.97434i −0.0614870 0.106499i
\(781\) 0 0
\(782\) 5.62955 9.75067i 0.201312 0.348683i
\(783\) 8.26137 + 25.4259i 0.295237 + 0.908647i
\(784\) 33.5314 6.03527i 1.19755 0.215545i
\(785\) −4.08232 + 2.96598i −0.145704 + 0.105860i
\(786\) 36.9741 + 41.0639i 1.31882 + 1.46470i
\(787\) 4.84339 1.02949i 0.172648 0.0366975i −0.120776 0.992680i \(-0.538538\pi\)
0.293425 + 0.955982i \(0.405205\pi\)
\(788\) −3.01439 1.34209i −0.107383 0.0478101i
\(789\) 25.4990 11.3529i 0.907788 0.404173i
\(790\) −1.71540 5.27944i −0.0610310 0.187834i
\(791\) 2.76129 22.8236i 0.0981801 0.811514i
\(792\) 0 0
\(793\) −3.90120 + 6.75707i −0.138536 + 0.239951i
\(794\) 42.7861 47.5188i 1.51842 1.68638i
\(795\) −1.09108 + 10.3810i −0.0386968 + 0.368175i
\(796\) 2.63799 + 25.0988i 0.0935012 + 0.889605i
\(797\) −8.24513 + 25.3759i −0.292057 + 0.898860i 0.692137 + 0.721766i \(0.256670\pi\)
−0.984194 + 0.177094i \(0.943330\pi\)
\(798\) −48.5640 + 34.1334i −1.71915 + 1.20831i
\(799\) 6.49878 4.72164i 0.229910 0.167040i
\(800\) −27.6951 + 12.3306i −0.979169 + 0.435954i
\(801\) 0.447305 0.496782i 0.0158047 0.0175529i
\(802\) 10.4518 + 18.1030i 0.369066 + 0.639240i
\(803\) 0 0
\(804\) 4.80785 0.169560
\(805\) −2.39407 2.74422i −0.0843800 0.0967210i
\(806\) 17.1884 + 12.4881i 0.605435 + 0.439874i
\(807\) −1.63023 15.5106i −0.0573869 0.546000i
\(808\) −11.2889 + 2.39953i −0.397143 + 0.0844153i
\(809\) −38.6760 + 8.22084i −1.35978 + 0.289029i −0.829363 0.558710i \(-0.811296\pi\)
−0.530413 + 0.847740i \(0.677963\pi\)
\(810\) 1.35725 + 12.9134i 0.0476890 + 0.453731i
\(811\) −27.0651 19.6640i −0.950385 0.690495i 0.000513088 1.00000i \(-0.499837\pi\)
−0.950898 + 0.309505i \(0.899837\pi\)
\(812\) 24.7532 + 28.3735i 0.868667 + 0.995713i
\(813\) −40.0517 −1.40467
\(814\) 0 0
\(815\) −5.08615 8.80947i −0.178160 0.308582i
\(816\) 20.2950 22.5399i 0.710468 0.789054i
\(817\) 24.7359 11.0131i 0.865399 0.385300i
\(818\) 6.06615 4.40732i 0.212098 0.154098i
\(819\) −7.15184 + 5.02671i −0.249906 + 0.175647i
\(820\) 2.01935 6.21493i 0.0705188 0.217035i
\(821\) 5.94369 + 56.5504i 0.207436 + 1.97362i 0.227314 + 0.973821i \(0.427006\pi\)
−0.0198779 + 0.999802i \(0.506328\pi\)
\(822\) −3.06242 + 29.1370i −0.106814 + 1.01627i
\(823\) −26.8827 + 29.8563i −0.937073 + 1.04072i 0.0620175 + 0.998075i \(0.480247\pi\)
−0.999090 + 0.0426495i \(0.986420\pi\)
\(824\) −3.63228 + 6.29129i −0.126536 + 0.219168i
\(825\) 0 0
\(826\) 6.88191 56.8829i 0.239452 1.97921i
\(827\) 1.77235 + 5.45473i 0.0616306 + 0.189679i 0.977131 0.212637i \(-0.0682052\pi\)
−0.915501 + 0.402316i \(0.868205\pi\)
\(828\) 4.95169 2.20464i 0.172083 0.0766164i
\(829\) −32.5186 14.4782i −1.12942 0.502850i −0.244990 0.969526i \(-0.578785\pi\)
−0.884428 + 0.466676i \(0.845451\pi\)
\(830\) −10.5267 + 2.23751i −0.365386 + 0.0776651i
\(831\) 20.3743 + 22.6279i 0.706775 + 0.784954i
\(832\) 3.44569 2.50344i 0.119458 0.0867911i
\(833\) 6.71938 18.6672i 0.232813 0.646780i
\(834\) 3.24350 + 9.98247i 0.112313 + 0.345665i
\(835\) −0.368370 + 0.638036i −0.0127480 + 0.0220801i
\(836\) 0 0
\(837\) −8.24090 14.2737i −0.284847 0.493370i
\(838\) 58.8489 + 12.5087i 2.03290 + 0.432106i
\(839\) 33.7949 + 24.5534i 1.16673 + 0.847678i 0.990614 0.136692i \(-0.0436471\pi\)
0.176115 + 0.984370i \(0.443647\pi\)
\(840\) −2.09619 3.76585i −0.0723255 0.129934i
\(841\) 24.6569 75.8862i 0.850239 2.61677i
\(842\) 10.4586 + 11.6154i 0.360426 + 0.400294i
\(843\) 42.2468 + 18.8095i 1.45506 + 0.647834i
\(844\) −1.12033 + 10.6593i −0.0385635 + 0.366907i
\(845\) −6.06451 1.28905i −0.208625 0.0443447i
\(846\) 9.53566 0.327843
\(847\) 0 0
\(848\) −36.3568 −1.24850
\(849\) −0.757984 0.161115i −0.0260140 0.00552944i
\(850\) −2.49756 + 23.7627i −0.0856655 + 0.815053i
\(851\) 12.0014 + 5.34338i 0.411404 + 0.183169i
\(852\) −8.61580 9.56881i −0.295172 0.327822i
\(853\) −15.3851 + 47.3504i −0.526775 + 1.62125i 0.234005 + 0.972236i \(0.424817\pi\)
−0.760779 + 0.649011i \(0.775183\pi\)
\(854\) 10.7944 18.0374i 0.369378 0.617226i
\(855\) 5.24669 + 3.81194i 0.179433 + 0.130366i
\(856\) 12.6558 + 2.69007i 0.432565 + 0.0919446i
\(857\) 12.7394 + 22.0652i 0.435168 + 0.753734i 0.997309 0.0733077i \(-0.0233555\pi\)
−0.562141 + 0.827041i \(0.690022\pi\)
\(858\) 0 0
\(859\) −8.08080 + 13.9964i −0.275713 + 0.477549i −0.970315 0.241845i \(-0.922247\pi\)
0.694602 + 0.719395i \(0.255581\pi\)
\(860\) −1.30427 4.01413i −0.0444752 0.136881i
\(861\) −42.7303 9.78524i −1.45624 0.333480i
\(862\) 24.8327 18.0420i 0.845804 0.614513i
\(863\) 1.93983 + 2.15440i 0.0660325 + 0.0733365i 0.775256 0.631647i \(-0.217621\pi\)
−0.709223 + 0.704984i \(0.750954\pi\)
\(864\) −16.5372 + 3.51509i −0.562607 + 0.119586i
\(865\) −0.576806 0.256811i −0.0196120 0.00873183i
\(866\) 43.3429 19.2975i 1.47285 0.655756i
\(867\) 6.09252 + 18.7508i 0.206913 + 0.636812i
\(868\) −18.5638 13.9372i −0.630096 0.473061i
\(869\) 0 0
\(870\) 13.3672 23.1526i 0.453190 0.784948i
\(871\) −1.93165 + 2.14532i −0.0654515 + 0.0726913i
\(872\) −1.74302 + 16.5837i −0.0590259 + 0.561594i
\(873\) 0.497747 + 4.73574i 0.0168462 + 0.160281i
\(874\) −6.82919 + 21.0181i −0.231001 + 0.710947i
\(875\) 14.6362 + 6.79337i 0.494793 + 0.229658i
\(876\) 38.8169 28.2022i 1.31150 0.952862i
\(877\) 7.68734 3.42263i 0.259583 0.115574i −0.272819 0.962065i \(-0.587956\pi\)
0.532402 + 0.846491i \(0.321289\pi\)
\(878\) −11.7440 + 13.0430i −0.396341 + 0.440181i
\(879\) 3.80731 + 6.59445i 0.128417 + 0.222425i
\(880\) 0 0
\(881\) 41.5335 1.39930 0.699649 0.714486i \(-0.253340\pi\)
0.699649 + 0.714486i \(0.253340\pi\)
\(882\) 19.4779 13.2388i 0.655856 0.445775i
\(883\) 45.6894 + 33.1953i 1.53757 + 1.11711i 0.951835 + 0.306610i \(0.0991948\pi\)
0.585737 + 0.810501i \(0.300805\pi\)
\(884\) −0.728143 6.92782i −0.0244901 0.233008i
\(885\) −16.1380 + 3.43025i −0.542474 + 0.115306i
\(886\) 34.1481 7.25841i 1.14723 0.243851i
\(887\) −3.61454 34.3901i −0.121365 1.15471i −0.870458 0.492242i \(-0.836177\pi\)
0.749094 0.662464i \(-0.230489\pi\)
\(888\) 12.5783 + 9.13869i 0.422101 + 0.306674i
\(889\) 54.5183 10.6977i 1.82848 0.358789i
\(890\) 0.424858 0.0142413
\(891\) 0 0
\(892\) −13.8744 24.0311i −0.464548 0.804621i
\(893\) −10.5504 + 11.7174i −0.353055 + 0.392107i
\(894\) 3.68427 1.64034i 0.123220 0.0548613i
\(895\) −10.1096 + 7.34507i −0.337928 + 0.245519i
\(896\) 19.1677 13.4721i 0.640348 0.450072i
\(897\) −2.65060 + 8.15771i −0.0885010 + 0.272378i
\(898\) 6.39277 + 60.8231i 0.213329 + 2.02969i
\(899\) −7.01075 + 66.7028i −0.233822 + 2.22466i
\(900\) −7.69683 + 8.54819i −0.256561 + 0.284940i
\(901\) −10.5856 + 18.3348i −0.352658 + 0.610821i
\(902\) 0 0
\(903\) −26.0429 + 11.1091i −0.866652 + 0.369688i
\(904\) −3.13026 9.63396i −0.104111 0.320421i
\(905\) 13.8606 6.17113i 0.460741 0.205135i
\(906\) −6.39383 2.84672i −0.212421 0.0945758i
\(907\) −8.21922 + 1.74705i −0.272915 + 0.0580098i −0.342336 0.939578i \(-0.611218\pi\)
0.0694212 + 0.997587i \(0.477885\pi\)
\(908\) −6.59147 7.32057i −0.218746 0.242942i
\(909\) −14.6911 + 10.6737i −0.487273 + 0.354025i
\(910\) −5.41560 1.24017i −0.179525 0.0411113i
\(911\) −0.183460 0.564632i −0.00607830 0.0187071i 0.947971 0.318356i \(-0.103131\pi\)
−0.954050 + 0.299649i \(0.903131\pi\)
\(912\) −29.7667 + 51.5575i −0.985675 + 1.70724i
\(913\) 0 0
\(914\) −10.9693 18.9993i −0.362831 0.628441i
\(915\) −5.92051 1.25844i −0.195726 0.0416029i
\(916\) −13.3251 9.68123i −0.440273 0.319877i
\(917\) 36.2461 + 0.568347i 1.19695 + 0.0187685i
\(918\) −4.11764 + 12.6728i −0.135902 + 0.418265i
\(919\) 10.9316 + 12.1407i 0.360599 + 0.400486i 0.895958 0.444139i \(-0.146490\pi\)
−0.535359 + 0.844625i \(0.679824\pi\)
\(920\) −1.46588 0.652652i −0.0483287 0.0215173i
\(921\) 1.49725 14.2454i 0.0493362 0.469402i
\(922\) −22.4084 4.76306i −0.737982 0.156863i
\(923\) 7.73128 0.254478
\(924\) 0 0
\(925\) −27.8792 −0.916662
\(926\) 22.0852 + 4.69436i 0.725765 + 0.154266i
\(927\) −1.19479 + 11.3677i −0.0392422 + 0.373364i
\(928\) 62.8511 + 27.9831i 2.06319 + 0.918591i
\(929\) 5.95606 + 6.61488i 0.195412 + 0.217027i 0.832886 0.553445i \(-0.186687\pi\)
−0.637474 + 0.770472i \(0.720020\pi\)
\(930\) −5.09316 + 15.6751i −0.167011 + 0.514007i
\(931\) −5.28279 + 38.5820i −0.173137 + 1.26447i
\(932\) −8.32555 6.04887i −0.272713 0.198137i
\(933\) 25.0122 + 5.31651i 0.818863 + 0.174055i
\(934\) 30.0456 + 52.0405i 0.983122 + 1.70282i
\(935\) 0 0
\(936\) −1.92585 + 3.33567i −0.0629485 + 0.109030i
\(937\) −13.9787 43.0220i −0.456664 1.40547i −0.869170 0.494513i \(-0.835347\pi\)
0.412506 0.910955i \(-0.364653\pi\)
\(938\) 5.29409 5.69745i 0.172858 0.186028i
\(939\) −48.2008 + 35.0200i −1.57298 + 1.14283i
\(940\) 1.64458 + 1.82650i 0.0536404 + 0.0595737i
\(941\) −6.78154 + 1.44146i −0.221072 + 0.0469903i −0.317116 0.948387i \(-0.602714\pi\)
0.0960439 + 0.995377i \(0.469381\pi\)
\(942\) −29.2516 13.0236i −0.953068 0.424333i
\(943\) −14.9094 + 6.63811i −0.485518 + 0.216167i
\(944\) −17.7579 54.6531i −0.577969 1.77881i
\(945\) 3.44668 + 2.58768i 0.112120 + 0.0841773i
\(946\) 0 0
\(947\) −10.3716 + 17.9642i −0.337033 + 0.583758i −0.983873 0.178867i \(-0.942757\pi\)
0.646840 + 0.762626i \(0.276090\pi\)
\(948\) 9.55886 10.6162i 0.310457 0.344798i
\(949\) −3.01138 + 28.6513i −0.0977534 + 0.930062i
\(950\) −4.90228 46.6421i −0.159051 1.51327i
\(951\) −2.62378 + 8.07516i −0.0850819 + 0.261855i
\(952\) −0.777337 8.70703i −0.0251936 0.282197i
\(953\) 16.3483 11.8777i 0.529574 0.384758i −0.290625 0.956837i \(-0.593863\pi\)
0.820198 + 0.572079i \(0.193863\pi\)
\(954\) −22.9590 + 10.2220i −0.743325 + 0.330949i
\(955\) 4.73396 5.25760i 0.153187 0.170132i
\(956\) −6.71735 11.6348i −0.217254 0.376296i
\(957\) 0 0
\(958\) 47.6499 1.53950
\(959\) 12.6353 + 14.4833i 0.408016 + 0.467690i
\(960\) 2.67302 + 1.94206i 0.0862715 + 0.0626799i
\(961\) −1.08176 10.2923i −0.0348956 0.332009i
\(962\) 19.6039 4.16694i 0.632055 0.134347i
\(963\) 19.9130 4.23265i 0.641689 0.136395i
\(964\) −0.238899 2.27297i −0.00769442 0.0732075i
\(965\) −1.85854 1.35031i −0.0598284 0.0434679i
\(966\) 7.48475 21.8632i 0.240818 0.703438i
\(967\) 7.98254 0.256701 0.128351 0.991729i \(-0.459032\pi\)
0.128351 + 0.991729i \(0.459032\pi\)
\(968\) 0 0
\(969\) 17.3337 + 30.0229i 0.556839 + 0.964473i
\(970\) −2.02505 + 2.24905i −0.0650205 + 0.0722125i
\(971\) −12.5880 + 5.60454i −0.403968 + 0.179858i −0.598655 0.801007i \(-0.704298\pi\)
0.194686 + 0.980866i \(0.437631\pi\)
\(972\) −18.5451 + 13.4738i −0.594835 + 0.432173i
\(973\) 6.24588 + 2.89902i 0.200234 + 0.0929383i
\(974\) −8.23899 + 25.3570i −0.263994 + 0.812491i
\(975\) −1.90272 18.1031i −0.0609357 0.579764i
\(976\) 2.20369 20.9668i 0.0705386 0.671129i
\(977\) 8.04357 8.93329i 0.257337 0.285801i −0.600608 0.799544i \(-0.705075\pi\)
0.857944 + 0.513742i \(0.171741\pi\)
\(978\) 32.2745 55.9010i 1.03202 1.78752i
\(979\) 0 0
\(980\) 5.89511 + 1.44761i 0.188312 + 0.0462423i
\(981\) 8.10771 + 24.9530i 0.258859 + 0.796686i
\(982\) −66.0132 + 29.3910i −2.10656 + 0.937903i
\(983\) −40.7937 18.1625i −1.30112 0.579295i −0.365009 0.931004i \(-0.618934\pi\)
−0.936109 + 0.351709i \(0.885601\pi\)
\(984\) −18.8929 + 4.01581i −0.602283 + 0.128019i
\(985\) 1.02843 + 1.14219i 0.0327685 + 0.0363931i
\(986\) 43.8681 31.8721i 1.39705 1.01501i
\(987\) 11.2229 12.0780i 0.357229 0.384447i
\(988\) 4.22520 + 13.0038i 0.134422 + 0.413707i
\(989\) −5.27056 + 9.12888i −0.167594 + 0.290282i
\(990\) 0 0
\(991\) 11.4830 + 19.8891i 0.364769 + 0.631799i 0.988739 0.149650i \(-0.0478146\pi\)
−0.623970 + 0.781448i \(0.714481\pi\)
\(992\) −41.4880 8.81854i −1.31724 0.279989i
\(993\) 10.9400 + 7.94837i 0.347170 + 0.252234i
\(994\) −20.8265 0.326564i −0.660576 0.0103580i
\(995\) 3.63258 11.1799i 0.115161 0.354428i
\(996\) −18.5315 20.5813i −0.587193 0.652144i
\(997\) −1.23235 0.548678i −0.0390289 0.0173768i 0.387129 0.922025i \(-0.373467\pi\)
−0.426158 + 0.904649i \(0.640133\pi\)
\(998\) −5.02920 + 47.8496i −0.159196 + 1.51465i
\(999\) −15.2079 3.23254i −0.481157 0.102273i
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.632.3 24
7.4 even 3 inner 847.2.n.d.753.1 24
11.2 odd 10 847.2.n.e.9.3 24
11.3 even 5 847.2.e.d.485.3 6
11.4 even 5 inner 847.2.n.d.366.3 24
11.5 even 5 inner 847.2.n.d.807.1 24
11.6 odd 10 847.2.n.e.807.3 24
11.7 odd 10 847.2.n.e.366.1 24
11.8 odd 10 77.2.e.b.23.1 6
11.9 even 5 inner 847.2.n.d.9.1 24
11.10 odd 2 847.2.n.e.632.1 24
33.8 even 10 693.2.i.g.100.3 6
44.19 even 10 1232.2.q.k.177.1 6
77.4 even 15 inner 847.2.n.d.487.1 24
77.18 odd 30 847.2.n.e.487.3 24
77.19 even 30 539.2.a.i.1.3 3
77.25 even 15 847.2.e.d.606.3 6
77.30 odd 30 539.2.a.h.1.3 3
77.32 odd 6 847.2.n.e.753.3 24
77.39 odd 30 847.2.n.e.81.1 24
77.41 even 10 539.2.e.l.177.1 6
77.46 odd 30 847.2.n.e.130.1 24
77.47 odd 30 5929.2.a.w.1.1 3
77.52 even 30 539.2.e.l.67.1 6
77.53 even 15 inner 847.2.n.d.130.3 24
77.58 even 15 5929.2.a.v.1.1 3
77.60 even 15 inner 847.2.n.d.81.3 24
77.74 odd 30 77.2.e.b.67.1 yes 6
231.74 even 30 693.2.i.g.298.3 6
231.107 even 30 4851.2.a.bo.1.1 3
231.173 odd 30 4851.2.a.bn.1.1 3
308.19 odd 30 8624.2.a.ck.1.1 3
308.107 even 30 8624.2.a.cl.1.3 3
308.151 even 30 1232.2.q.k.529.1 6
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
77.2.e.b.23.1 6 11.8 odd 10
77.2.e.b.67.1 yes 6 77.74 odd 30
539.2.a.h.1.3 3 77.30 odd 30
539.2.a.i.1.3 3 77.19 even 30
539.2.e.l.67.1 6 77.52 even 30
539.2.e.l.177.1 6 77.41 even 10
693.2.i.g.100.3 6 33.8 even 10
693.2.i.g.298.3 6 231.74 even 30
847.2.e.d.485.3 6 11.3 even 5
847.2.e.d.606.3 6 77.25 even 15
847.2.n.d.9.1 24 11.9 even 5 inner
847.2.n.d.81.3 24 77.60 even 15 inner
847.2.n.d.130.3 24 77.53 even 15 inner
847.2.n.d.366.3 24 11.4 even 5 inner
847.2.n.d.487.1 24 77.4 even 15 inner
847.2.n.d.632.3 24 1.1 even 1 trivial
847.2.n.d.753.1 24 7.4 even 3 inner
847.2.n.d.807.1 24 11.5 even 5 inner
847.2.n.e.9.3 24 11.2 odd 10
847.2.n.e.81.1 24 77.39 odd 30
847.2.n.e.130.1 24 77.46 odd 30
847.2.n.e.366.1 24 11.7 odd 10
847.2.n.e.487.3 24 77.18 odd 30
847.2.n.e.632.1 24 11.10 odd 2
847.2.n.e.753.3 24 77.32 odd 6
847.2.n.e.807.3 24 11.6 odd 10
1232.2.q.k.177.1 6 44.19 even 10
1232.2.q.k.529.1 6 308.151 even 30
4851.2.a.bn.1.1 3 231.173 odd 30
4851.2.a.bo.1.1 3 231.107 even 30
5929.2.a.v.1.1 3 77.58 even 15
5929.2.a.w.1.1 3 77.47 odd 30
8624.2.a.ck.1.1 3 308.19 odd 30
8624.2.a.cl.1.3 3 308.107 even 30