Properties

Label 280.2.bj.e.171.10
Level $280$
Weight $2$
Character 280.171
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [280,2,Mod(131,280)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(280, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("280.131");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), 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: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 171.10
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.e.131.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.03665 + 0.961958i) q^{2} +(-2.66758 - 1.54013i) q^{3} +(0.149275 + 1.99442i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-1.28380 - 4.16266i) q^{6} +(-2.53597 - 0.754231i) q^{7} +(-1.76380 + 2.21111i) q^{8} +(3.24397 + 5.61873i) q^{9} +O(q^{10})\) \(q+(1.03665 + 0.961958i) q^{2} +(-2.66758 - 1.54013i) q^{3} +(0.149275 + 1.99442i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-1.28380 - 4.16266i) q^{6} +(-2.53597 - 0.754231i) q^{7} +(-1.76380 + 2.21111i) q^{8} +(3.24397 + 5.61873i) q^{9} +(-0.314756 + 1.37874i) q^{10} +(-1.64217 + 2.84433i) q^{11} +(2.67346 - 5.55017i) q^{12} -6.72078 q^{13} +(-1.90337 - 3.22137i) q^{14} -3.08025i q^{15} +(-3.95543 + 0.595434i) q^{16} +(3.32426 + 1.91926i) q^{17} +(-2.04212 + 8.94520i) q^{18} +(-0.618548 + 0.357119i) q^{19} +(-1.65258 + 1.12649i) q^{20} +(5.60328 + 5.91768i) q^{21} +(-4.43848 + 1.36886i) q^{22} +(-1.09312 + 0.631110i) q^{23} +(8.11046 - 3.18182i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-6.96708 - 6.46511i) q^{26} -10.7438i q^{27} +(1.12570 - 5.17038i) q^{28} -3.04491i q^{29} +(2.96307 - 3.19313i) q^{30} +(-0.0335679 + 0.0581414i) q^{31} +(-4.67317 - 3.18770i) q^{32} +(8.76124 - 5.05831i) q^{33} +(1.59984 + 5.18740i) q^{34} +(-0.614801 - 2.57333i) q^{35} +(-10.7219 + 7.30859i) q^{36} +(0.498735 - 0.287945i) q^{37} +(-0.984749 - 0.224811i) q^{38} +(17.9282 + 10.3508i) q^{39} +(-2.79678 - 0.421945i) q^{40} -0.230821i q^{41} +(0.116067 + 11.5247i) q^{42} +10.0631 q^{43} +(-5.91792 - 2.85060i) q^{44} +(-3.24397 + 5.61873i) q^{45} +(-1.74028 - 0.397292i) q^{46} +(4.23402 + 7.33354i) q^{47} +(11.4685 + 4.50350i) q^{48} +(5.86227 + 3.82541i) q^{49} +(-1.35140 + 0.416784i) q^{50} +(-5.91181 - 10.2396i) q^{51} +(-1.00324 - 13.4041i) q^{52} +(-2.16915 - 1.25236i) q^{53} +(10.3350 - 11.1375i) q^{54} -3.28435 q^{55} +(6.14064 - 4.27698i) q^{56} +2.20003 q^{57} +(2.92908 - 3.15650i) q^{58} +(0.986424 + 0.569512i) q^{59} +(6.14332 - 0.459804i) q^{60} +(0.0888960 + 0.153972i) q^{61} +(-0.0907277 + 0.0279812i) q^{62} +(-3.98880 - 16.6956i) q^{63} +(-1.77799 - 7.79992i) q^{64} +(-3.36039 - 5.82037i) q^{65} +(13.9482 + 3.18427i) q^{66} +(-6.92927 + 12.0019i) q^{67} +(-3.33159 + 6.91647i) q^{68} +3.88796 q^{69} +(1.83810 - 3.25905i) q^{70} -12.0720i q^{71} +(-18.1453 - 2.73756i) q^{72} +(-3.89739 - 2.25016i) q^{73} +(0.794003 + 0.181265i) q^{74} +(2.66758 - 1.54013i) q^{75} +(-0.804579 - 1.18034i) q^{76} +(6.30978 - 5.97455i) q^{77} +(8.62814 + 27.9763i) q^{78} +(-9.66655 + 5.58099i) q^{79} +(-2.49338 - 3.12779i) q^{80} +(-6.81481 + 11.8036i) q^{81} +(0.222040 - 0.239280i) q^{82} -3.24478i q^{83} +(-10.9659 + 12.0587i) q^{84} +3.83853i q^{85} +(10.4319 + 9.68032i) q^{86} +(-4.68955 + 8.12253i) q^{87} +(-3.39264 - 8.64786i) q^{88} +(-13.3148 + 7.68732i) q^{89} +(-8.76784 + 2.70407i) q^{90} +(17.0437 + 5.06902i) q^{91} +(-1.42187 - 2.08592i) q^{92} +(0.179090 - 0.103398i) q^{93} +(-2.66537 + 11.6752i) q^{94} +(-0.618548 - 0.357119i) q^{95} +(7.55658 + 15.7007i) q^{96} -5.76555i q^{97} +(2.39722 + 9.60486i) q^{98} -21.3087 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q - 3 q^{2} + 12 q^{3} + q^{4} + 12 q^{5} + 2 q^{6} - 10 q^{7} - 6 q^{8} + 12 q^{9} - 3 q^{10} + 8 q^{11} + 8 q^{12} - 20 q^{13} - 15 q^{14} - 3 q^{16} + 6 q^{17} - 27 q^{18} + 18 q^{19} + 2 q^{20} + 26 q^{21} - 16 q^{22} - 18 q^{23} + 6 q^{24} - 12 q^{25} - 29 q^{26} + 3 q^{28} + 10 q^{30} + 6 q^{31} - 33 q^{32} + 12 q^{33} + 20 q^{34} - 8 q^{35} - 22 q^{36} + 9 q^{38} + 18 q^{39} - 3 q^{40} - 12 q^{42} + 32 q^{43} - 25 q^{44} - 12 q^{45} + 53 q^{46} + 14 q^{48} + 8 q^{49} - 22 q^{51} - 31 q^{52} - 30 q^{53} + 10 q^{54} + 16 q^{55} + 16 q^{56} - 44 q^{57} + 30 q^{58} - 18 q^{59} + 10 q^{60} - 22 q^{61} - 8 q^{62} + 12 q^{63} + 58 q^{64} - 10 q^{65} - 8 q^{66} - 8 q^{67} - 6 q^{68} + 12 q^{69} + 3 q^{70} - 23 q^{72} + 30 q^{73} - 43 q^{74} - 12 q^{75} - 8 q^{76} + 32 q^{77} - 8 q^{78} - 6 q^{79} + 3 q^{80} - 4 q^{81} - 27 q^{82} - 16 q^{84} - 36 q^{86} - 14 q^{87} + 49 q^{88} - 60 q^{89} - 24 q^{90} + 18 q^{91} - 38 q^{92} + 18 q^{93} + 11 q^{94} + 18 q^{95} + 2 q^{96} - 19 q^{98} - 56 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.03665 + 0.961958i 0.733020 + 0.680207i
\(3\) −2.66758 1.54013i −1.54013 0.889192i −0.998830 0.0483596i \(-0.984601\pi\)
−0.541296 0.840832i \(-0.682066\pi\)
\(4\) 0.149275 + 1.99442i 0.0746375 + 0.997211i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) −1.28380 4.16266i −0.524109 1.69940i
\(7\) −2.53597 0.754231i −0.958506 0.285072i
\(8\) −1.76380 + 2.21111i −0.623599 + 0.781745i
\(9\) 3.24397 + 5.61873i 1.08132 + 1.87291i
\(10\) −0.314756 + 1.37874i −0.0995346 + 0.435996i
\(11\) −1.64217 + 2.84433i −0.495134 + 0.857597i −0.999984 0.00560987i \(-0.998214\pi\)
0.504850 + 0.863207i \(0.331548\pi\)
\(12\) 2.67346 5.55017i 0.771761 1.60220i
\(13\) −6.72078 −1.86401 −0.932005 0.362446i \(-0.881942\pi\)
−0.932005 + 0.362446i \(0.881942\pi\)
\(14\) −1.90337 3.22137i −0.508696 0.860946i
\(15\) 3.08025i 0.795317i
\(16\) −3.95543 + 0.595434i −0.988859 + 0.148859i
\(17\) 3.32426 + 1.91926i 0.806252 + 0.465490i 0.845652 0.533734i \(-0.179212\pi\)
−0.0394009 + 0.999223i \(0.512545\pi\)
\(18\) −2.04212 + 8.94520i −0.481333 + 2.10840i
\(19\) −0.618548 + 0.357119i −0.141905 + 0.0819287i −0.569271 0.822150i \(-0.692775\pi\)
0.427367 + 0.904078i \(0.359441\pi\)
\(20\) −1.65258 + 1.12649i −0.369529 + 0.251890i
\(21\) 5.60328 + 5.91768i 1.22274 + 1.29134i
\(22\) −4.43848 + 1.36886i −0.946286 + 0.291843i
\(23\) −1.09312 + 0.631110i −0.227930 + 0.131596i −0.609617 0.792696i \(-0.708677\pi\)
0.381687 + 0.924292i \(0.375343\pi\)
\(24\) 8.11046 3.18182i 1.65554 0.649486i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) −6.96708 6.46511i −1.36636 1.26791i
\(27\) 10.7438i 2.06764i
\(28\) 1.12570 5.17038i 0.212737 0.977110i
\(29\) 3.04491i 0.565426i −0.959205 0.282713i \(-0.908766\pi\)
0.959205 0.282713i \(-0.0912344\pi\)
\(30\) 2.96307 3.19313i 0.540980 0.582984i
\(31\) −0.0335679 + 0.0581414i −0.00602898 + 0.0104425i −0.869024 0.494770i \(-0.835252\pi\)
0.862995 + 0.505212i \(0.168586\pi\)
\(32\) −4.67317 3.18770i −0.826108 0.563512i
\(33\) 8.76124 5.05831i 1.52514 0.880538i
\(34\) 1.59984 + 5.18740i 0.274370 + 0.889631i
\(35\) −0.614801 2.57333i −0.103920 0.434972i
\(36\) −10.7219 + 7.30859i −1.78698 + 1.21810i
\(37\) 0.498735 0.287945i 0.0819916 0.0473379i −0.458444 0.888723i \(-0.651593\pi\)
0.540435 + 0.841386i \(0.318260\pi\)
\(38\) −0.984749 0.224811i −0.159747 0.0364691i
\(39\) 17.9282 + 10.3508i 2.87081 + 1.65746i
\(40\) −2.79678 0.421945i −0.442209 0.0667153i
\(41\) 0.230821i 0.0360483i −0.999838 0.0180241i \(-0.994262\pi\)
0.999838 0.0180241i \(-0.00573757\pi\)
\(42\) 0.116067 + 11.5247i 0.0179095 + 1.77829i
\(43\) 10.0631 1.53462 0.767308 0.641279i \(-0.221596\pi\)
0.767308 + 0.641279i \(0.221596\pi\)
\(44\) −5.91792 2.85060i −0.892160 0.429744i
\(45\) −3.24397 + 5.61873i −0.483583 + 0.837591i
\(46\) −1.74028 0.397292i −0.256590 0.0585775i
\(47\) 4.23402 + 7.33354i 0.617595 + 1.06971i 0.989923 + 0.141605i \(0.0452263\pi\)
−0.372328 + 0.928101i \(0.621440\pi\)
\(48\) 11.4685 + 4.50350i 1.65533 + 0.650024i
\(49\) 5.86227 + 3.82541i 0.837467 + 0.546487i
\(50\) −1.35140 + 0.416784i −0.191117 + 0.0589422i
\(51\) −5.91181 10.2396i −0.827819 1.43382i
\(52\) −1.00324 13.4041i −0.139125 1.85881i
\(53\) −2.16915 1.25236i −0.297955 0.172024i 0.343569 0.939128i \(-0.388364\pi\)
−0.641524 + 0.767103i \(0.721697\pi\)
\(54\) 10.3350 11.1375i 1.40642 1.51562i
\(55\) −3.28435 −0.442861
\(56\) 6.14064 4.27698i 0.820577 0.571536i
\(57\) 2.20003 0.291401
\(58\) 2.92908 3.15650i 0.384606 0.414469i
\(59\) 0.986424 + 0.569512i 0.128422 + 0.0741442i 0.562835 0.826570i \(-0.309711\pi\)
−0.434413 + 0.900714i \(0.643044\pi\)
\(60\) 6.14332 0.459804i 0.793099 0.0593605i
\(61\) 0.0888960 + 0.153972i 0.0113820 + 0.0197141i 0.871660 0.490111i \(-0.163044\pi\)
−0.860278 + 0.509825i \(0.829710\pi\)
\(62\) −0.0907277 + 0.0279812i −0.0115224 + 0.00355361i
\(63\) −3.98880 16.6956i −0.502541 2.10345i
\(64\) −1.77799 7.79992i −0.222249 0.974990i
\(65\) −3.36039 5.82037i −0.416805 0.721928i
\(66\) 13.9482 + 3.18427i 1.71690 + 0.391956i
\(67\) −6.92927 + 12.0019i −0.846545 + 1.46626i 0.0377270 + 0.999288i \(0.487988\pi\)
−0.884272 + 0.466971i \(0.845345\pi\)
\(68\) −3.33159 + 6.91647i −0.404015 + 0.838746i
\(69\) 3.88796 0.468055
\(70\) 1.83810 3.25905i 0.219695 0.389531i
\(71\) 12.0720i 1.43268i −0.697749 0.716342i \(-0.745815\pi\)
0.697749 0.716342i \(-0.254185\pi\)
\(72\) −18.1453 2.73756i −2.13845 0.322624i
\(73\) −3.89739 2.25016i −0.456155 0.263361i 0.254271 0.967133i \(-0.418164\pi\)
−0.710426 + 0.703772i \(0.751498\pi\)
\(74\) 0.794003 + 0.181265i 0.0923010 + 0.0210716i
\(75\) 2.66758 1.54013i 0.308025 0.177838i
\(76\) −0.804579 1.18034i −0.0922916 0.135394i
\(77\) 6.30978 5.97455i 0.719066 0.680863i
\(78\) 8.62814 + 27.9763i 0.976944 + 3.16770i
\(79\) −9.66655 + 5.58099i −1.08757 + 0.627910i −0.932929 0.360061i \(-0.882756\pi\)
−0.154643 + 0.987970i \(0.549423\pi\)
\(80\) −2.49338 3.12779i −0.278768 0.349697i
\(81\) −6.81481 + 11.8036i −0.757202 + 1.31151i
\(82\) 0.222040 0.239280i 0.0245203 0.0264241i
\(83\) 3.24478i 0.356161i −0.984016 0.178081i \(-0.943011\pi\)
0.984016 0.178081i \(-0.0569888\pi\)
\(84\) −10.9659 + 12.0587i −1.19648 + 1.31571i
\(85\) 3.83853i 0.416347i
\(86\) 10.4319 + 9.68032i 1.12490 + 1.04386i
\(87\) −4.68955 + 8.12253i −0.502772 + 0.870827i
\(88\) −3.39264 8.64786i −0.361657 0.921865i
\(89\) −13.3148 + 7.68732i −1.41137 + 0.814854i −0.995517 0.0945783i \(-0.969850\pi\)
−0.415852 + 0.909433i \(0.636516\pi\)
\(90\) −8.76784 + 2.70407i −0.924211 + 0.285034i
\(91\) 17.0437 + 5.06902i 1.78666 + 0.531378i
\(92\) −1.42187 2.08592i −0.148241 0.217473i
\(93\) 0.179090 0.103398i 0.0185708 0.0107218i
\(94\) −2.66537 + 11.6752i −0.274912 + 1.20421i
\(95\) −0.618548 0.357119i −0.0634617 0.0366396i
\(96\) 7.55658 + 15.7007i 0.771240 + 1.60245i
\(97\) 5.76555i 0.585403i −0.956204 0.292701i \(-0.905446\pi\)
0.956204 0.292701i \(-0.0945542\pi\)
\(98\) 2.39722 + 9.60486i 0.242156 + 0.970237i
\(99\) −21.3087 −2.14160
\(100\) −1.80186 0.867935i −0.180186 0.0867935i
\(101\) −5.65852 + 9.80085i −0.563044 + 0.975221i 0.434185 + 0.900824i \(0.357037\pi\)
−0.997229 + 0.0743970i \(0.976297\pi\)
\(102\) 3.72156 16.3017i 0.368489 1.61411i
\(103\) −0.346486 0.600132i −0.0341403 0.0591327i 0.848450 0.529275i \(-0.177536\pi\)
−0.882591 + 0.470142i \(0.844203\pi\)
\(104\) 11.8541 14.8604i 1.16239 1.45718i
\(105\) −2.32322 + 7.81142i −0.226723 + 0.762317i
\(106\) −1.04392 3.38488i −0.101395 0.328769i
\(107\) 2.55924 + 4.43274i 0.247411 + 0.428529i 0.962807 0.270191i \(-0.0870868\pi\)
−0.715396 + 0.698720i \(0.753753\pi\)
\(108\) 21.4276 1.60377i 2.06187 0.154323i
\(109\) 10.6122 + 6.12698i 1.01647 + 0.586858i 0.913079 0.407783i \(-0.133698\pi\)
0.103389 + 0.994641i \(0.467031\pi\)
\(110\) −3.40471 3.15940i −0.324626 0.301237i
\(111\) −1.77389 −0.168370
\(112\) 10.4800 + 1.47331i 0.990262 + 0.139215i
\(113\) −6.58353 −0.619326 −0.309663 0.950846i \(-0.600216\pi\)
−0.309663 + 0.950846i \(0.600216\pi\)
\(114\) 2.28066 + 2.11634i 0.213603 + 0.198213i
\(115\) −1.09312 0.631110i −0.101934 0.0588514i
\(116\) 6.07284 0.454529i 0.563849 0.0422019i
\(117\) −21.8020 37.7622i −2.01560 3.49112i
\(118\) 0.474727 + 1.53928i 0.0437022 + 0.141702i
\(119\) −6.98265 7.37445i −0.640099 0.676015i
\(120\) 6.81077 + 5.43296i 0.621735 + 0.495959i
\(121\) 0.106534 + 0.184523i 0.00968495 + 0.0167748i
\(122\) −0.0559611 + 0.245129i −0.00506648 + 0.0221930i
\(123\) −0.355494 + 0.615734i −0.0320538 + 0.0555188i
\(124\) −0.120969 0.0582696i −0.0108634 0.00523276i
\(125\) −1.00000 −0.0894427
\(126\) 11.9255 21.1445i 1.06241 1.88370i
\(127\) 16.4627i 1.46083i 0.683004 + 0.730415i \(0.260673\pi\)
−0.683004 + 0.730415i \(0.739327\pi\)
\(128\) 5.66004 9.79612i 0.500282 0.865863i
\(129\) −26.8442 15.4985i −2.36350 1.36457i
\(130\) 2.11541 9.26622i 0.185533 0.812701i
\(131\) −0.446341 + 0.257695i −0.0389970 + 0.0225149i −0.519372 0.854548i \(-0.673834\pi\)
0.480375 + 0.877063i \(0.340501\pi\)
\(132\) 11.3962 + 16.7185i 0.991914 + 1.45516i
\(133\) 1.83797 0.439114i 0.159372 0.0380760i
\(134\) −18.7285 + 5.77602i −1.61789 + 0.498972i
\(135\) 9.30437 5.37188i 0.800792 0.462338i
\(136\) −10.1070 + 3.96510i −0.866671 + 0.340004i
\(137\) 4.22144 7.31175i 0.360662 0.624685i −0.627408 0.778691i \(-0.715884\pi\)
0.988070 + 0.154006i \(0.0492175\pi\)
\(138\) 4.03044 + 3.74005i 0.343094 + 0.318374i
\(139\) 19.1037i 1.62036i 0.586182 + 0.810179i \(0.300630\pi\)
−0.586182 + 0.810179i \(0.699370\pi\)
\(140\) 5.04053 1.61031i 0.426002 0.136096i
\(141\) 26.0837i 2.19664i
\(142\) 11.6128 12.5144i 0.974521 1.05019i
\(143\) 11.0367 19.1161i 0.922934 1.59857i
\(144\) −16.1769 20.2929i −1.34808 1.69108i
\(145\) 2.63697 1.52246i 0.218988 0.126433i
\(146\) −1.87566 6.08174i −0.155231 0.503328i
\(147\) −9.74644 19.2332i −0.803873 1.58633i
\(148\) 0.648732 + 0.951705i 0.0533255 + 0.0782297i
\(149\) 5.64120 3.25695i 0.462145 0.266820i −0.250801 0.968039i \(-0.580694\pi\)
0.712946 + 0.701219i \(0.247361\pi\)
\(150\) 4.24687 + 0.969528i 0.346756 + 0.0791616i
\(151\) −6.19052 3.57410i −0.503777 0.290856i 0.226495 0.974012i \(-0.427273\pi\)
−0.730272 + 0.683156i \(0.760607\pi\)
\(152\) 0.301369 1.99756i 0.0244443 0.162024i
\(153\) 24.9042i 2.01338i
\(154\) 12.2883 0.123757i 0.990217 0.00997265i
\(155\) −0.0671359 −0.00539248
\(156\) −17.9677 + 37.3015i −1.43857 + 2.98651i
\(157\) −11.5674 + 20.0353i −0.923176 + 1.59899i −0.128706 + 0.991683i \(0.541082\pi\)
−0.794469 + 0.607304i \(0.792251\pi\)
\(158\) −15.3895 3.51330i −1.22432 0.279503i
\(159\) 3.85757 + 6.68151i 0.305926 + 0.529879i
\(160\) 0.424047 5.64094i 0.0335239 0.445955i
\(161\) 3.24811 0.776015i 0.255987 0.0611585i
\(162\) −18.4191 + 5.68061i −1.44714 + 0.446311i
\(163\) −0.415413 0.719516i −0.0325376 0.0563568i 0.849298 0.527914i \(-0.177026\pi\)
−0.881836 + 0.471557i \(0.843692\pi\)
\(164\) 0.460355 0.0344559i 0.0359477 0.00269055i
\(165\) 8.76124 + 5.05831i 0.682062 + 0.393789i
\(166\) 3.12134 3.36370i 0.242263 0.261073i
\(167\) 3.59980 0.278561 0.139280 0.990253i \(-0.455521\pi\)
0.139280 + 0.990253i \(0.455521\pi\)
\(168\) −22.9677 + 1.95183i −1.77200 + 0.150587i
\(169\) 32.1689 2.47453
\(170\) −3.69250 + 3.97920i −0.283202 + 0.305190i
\(171\) −4.01311 2.31697i −0.306890 0.177183i
\(172\) 1.50218 + 20.0702i 0.114540 + 1.53033i
\(173\) 5.28828 + 9.15958i 0.402061 + 0.696390i 0.993974 0.109612i \(-0.0349607\pi\)
−0.591914 + 0.806001i \(0.701627\pi\)
\(174\) −12.6749 + 3.90905i −0.960884 + 0.296345i
\(175\) 1.92117 1.81910i 0.145227 0.137511i
\(176\) 4.80190 12.2284i 0.361957 0.921747i
\(177\) −1.75424 3.03844i −0.131857 0.228383i
\(178\) −21.1977 4.83926i −1.58883 0.362718i
\(179\) 9.34059 16.1784i 0.698149 1.20923i −0.270959 0.962591i \(-0.587341\pi\)
0.969108 0.246638i \(-0.0793260\pi\)
\(180\) −11.6904 5.63112i −0.871348 0.419719i
\(181\) 17.3231 1.28761 0.643807 0.765188i \(-0.277354\pi\)
0.643807 + 0.765188i \(0.277354\pi\)
\(182\) 12.7921 + 21.6501i 0.948214 + 1.60481i
\(183\) 0.547644i 0.0404830i
\(184\) 0.532588 3.53015i 0.0392629 0.260246i
\(185\) 0.498735 + 0.287945i 0.0366677 + 0.0211701i
\(186\) 0.285117 + 0.0650901i 0.0209058 + 0.00477264i
\(187\) −10.9180 + 6.30352i −0.798405 + 0.460959i
\(188\) −13.9941 + 9.53913i −1.02063 + 0.695713i
\(189\) −8.10327 + 27.2458i −0.589426 + 1.98184i
\(190\) −0.297683 0.965223i −0.0215962 0.0700247i
\(191\) −7.26161 + 4.19249i −0.525432 + 0.303358i −0.739154 0.673536i \(-0.764775\pi\)
0.213722 + 0.976894i \(0.431441\pi\)
\(192\) −7.26992 + 23.5452i −0.524661 + 1.69923i
\(193\) 4.32438 7.49005i 0.311276 0.539146i −0.667363 0.744733i \(-0.732577\pi\)
0.978639 + 0.205587i \(0.0659103\pi\)
\(194\) 5.54621 5.97684i 0.398195 0.429112i
\(195\) 20.7017i 1.48248i
\(196\) −6.75439 + 12.2629i −0.482457 + 0.875920i
\(197\) 9.70322i 0.691326i −0.938359 0.345663i \(-0.887654\pi\)
0.938359 0.345663i \(-0.112346\pi\)
\(198\) −22.0896 20.4980i −1.56984 1.45673i
\(199\) 0.189423 0.328090i 0.0134278 0.0232577i −0.859233 0.511584i \(-0.829059\pi\)
0.872661 + 0.488326i \(0.162392\pi\)
\(200\) −1.03297 2.63305i −0.0730423 0.186185i
\(201\) 36.9687 21.3439i 2.60757 1.50548i
\(202\) −15.2939 + 4.71676i −1.07607 + 0.331870i
\(203\) −2.29657 + 7.72180i −0.161187 + 0.541964i
\(204\) 19.5395 13.3192i 1.36804 0.932527i
\(205\) 0.199897 0.115411i 0.0139614 0.00806064i
\(206\) 0.218117 0.955430i 0.0151970 0.0665680i
\(207\) −7.09208 4.09461i −0.492933 0.284595i
\(208\) 26.5836 4.00178i 1.84324 0.277474i
\(209\) 2.34580i 0.162263i
\(210\) −9.92262 + 5.86285i −0.684726 + 0.404575i
\(211\) 1.17567 0.0809367 0.0404684 0.999181i \(-0.487115\pi\)
0.0404684 + 0.999181i \(0.487115\pi\)
\(212\) 2.17393 4.51314i 0.149306 0.309964i
\(213\) −18.5924 + 32.2030i −1.27393 + 2.20651i
\(214\) −1.61107 + 7.05706i −0.110131 + 0.482411i
\(215\) 5.03157 + 8.71494i 0.343150 + 0.594354i
\(216\) 23.7556 + 18.9499i 1.61636 + 1.28938i
\(217\) 0.128979 0.122127i 0.00875568 0.00829050i
\(218\) 5.10725 + 16.5600i 0.345907 + 1.12159i
\(219\) 6.93105 + 12.0049i 0.468357 + 0.811218i
\(220\) −0.490271 6.55037i −0.0330540 0.441626i
\(221\) −22.3416 12.8989i −1.50286 0.867677i
\(222\) −1.83889 1.70640i −0.123418 0.114526i
\(223\) −7.97945 −0.534343 −0.267172 0.963649i \(-0.586089\pi\)
−0.267172 + 0.963649i \(0.586089\pi\)
\(224\) 9.44675 + 11.6086i 0.631188 + 0.775630i
\(225\) −6.48795 −0.432530
\(226\) −6.82480 6.33307i −0.453979 0.421270i
\(227\) −5.41980 3.12912i −0.359725 0.207687i 0.309235 0.950986i \(-0.399927\pi\)
−0.668960 + 0.743298i \(0.733260\pi\)
\(228\) 0.328410 + 4.38779i 0.0217495 + 0.290589i
\(229\) −6.97388 12.0791i −0.460847 0.798211i 0.538156 0.842845i \(-0.319121\pi\)
−0.999003 + 0.0446343i \(0.985788\pi\)
\(230\) −0.526073 1.70577i −0.0346883 0.112475i
\(231\) −26.0334 + 6.21971i −1.71287 + 0.409227i
\(232\) 6.73263 + 5.37062i 0.442019 + 0.352599i
\(233\) −0.0277929 0.0481388i −0.00182077 0.00315367i 0.865114 0.501576i \(-0.167246\pi\)
−0.866934 + 0.498422i \(0.833913\pi\)
\(234\) 13.7247 60.1188i 0.897209 3.93009i
\(235\) −4.23402 + 7.33354i −0.276197 + 0.478387i
\(236\) −0.988599 + 2.05236i −0.0643523 + 0.133597i
\(237\) 34.3817 2.23333
\(238\) −0.144639 14.3617i −0.00937558 0.930932i
\(239\) 7.90839i 0.511552i 0.966736 + 0.255776i \(0.0823309\pi\)
−0.966736 + 0.255776i \(0.917669\pi\)
\(240\) 1.83409 + 12.1837i 0.118390 + 0.786456i
\(241\) −11.6219 6.70993i −0.748635 0.432225i 0.0765652 0.997065i \(-0.475605\pi\)
−0.825201 + 0.564840i \(0.808938\pi\)
\(242\) −0.0670647 + 0.293767i −0.00431109 + 0.0188841i
\(243\) 8.44497 4.87570i 0.541745 0.312777i
\(244\) −0.293816 + 0.200280i −0.0188096 + 0.0128216i
\(245\) −0.381767 + 6.98958i −0.0243902 + 0.446548i
\(246\) −0.960832 + 0.296328i −0.0612604 + 0.0188932i
\(247\) 4.15713 2.40012i 0.264512 0.152716i
\(248\) −0.0693496 0.176772i −0.00440370 0.0112251i
\(249\) −4.99737 + 8.65570i −0.316696 + 0.548533i
\(250\) −1.03665 0.961958i −0.0655633 0.0608395i
\(251\) 18.3987i 1.16132i −0.814148 0.580658i \(-0.802795\pi\)
0.814148 0.580658i \(-0.197205\pi\)
\(252\) 32.7027 10.4476i 2.06008 0.658136i
\(253\) 4.14557i 0.260630i
\(254\) −15.8364 + 17.0660i −0.993666 + 1.07082i
\(255\) 5.91181 10.2396i 0.370212 0.641226i
\(256\) 15.2909 4.71040i 0.955682 0.294400i
\(257\) −25.9092 + 14.9587i −1.61617 + 0.933096i −0.628271 + 0.777995i \(0.716237\pi\)
−0.987899 + 0.155101i \(0.950430\pi\)
\(258\) −12.9191 41.8895i −0.804306 2.60792i
\(259\) −1.48195 + 0.354058i −0.0920841 + 0.0220001i
\(260\) 11.1066 7.57087i 0.688805 0.469525i
\(261\) 17.1085 9.87761i 1.05899 0.611409i
\(262\) −0.710590 0.162222i −0.0439004 0.0100221i
\(263\) 17.3117 + 9.99491i 1.06748 + 0.616313i 0.927493 0.373840i \(-0.121959\pi\)
0.139992 + 0.990153i \(0.455292\pi\)
\(264\) −4.26865 + 28.2939i −0.262717 + 1.74137i
\(265\) 2.50471i 0.153863i
\(266\) 2.32773 + 1.31284i 0.142723 + 0.0804955i
\(267\) 47.3578 2.89825
\(268\) −24.9711 12.0283i −1.52535 0.734746i
\(269\) 11.9143 20.6361i 0.726426 1.25821i −0.231958 0.972726i \(-0.574513\pi\)
0.958384 0.285481i \(-0.0921533\pi\)
\(270\) 14.8129 + 3.38166i 0.901482 + 0.205802i
\(271\) 9.94307 + 17.2219i 0.603999 + 1.04616i 0.992209 + 0.124585i \(0.0397601\pi\)
−0.388210 + 0.921571i \(0.626907\pi\)
\(272\) −14.2917 5.61214i −0.866561 0.340286i
\(273\) −37.6584 39.7714i −2.27919 2.40708i
\(274\) 11.4097 3.51886i 0.689287 0.212582i
\(275\) −1.64217 2.84433i −0.0990268 0.171519i
\(276\) 0.580374 + 7.75423i 0.0349344 + 0.466750i
\(277\) 17.1311 + 9.89062i 1.02931 + 0.594270i 0.916786 0.399380i \(-0.130774\pi\)
0.112520 + 0.993649i \(0.464108\pi\)
\(278\) −18.3770 + 19.8038i −1.10218 + 1.18776i
\(279\) −0.435574 −0.0260771
\(280\) 6.77429 + 3.17945i 0.404842 + 0.190009i
\(281\) −9.91394 −0.591416 −0.295708 0.955278i \(-0.595556\pi\)
−0.295708 + 0.955278i \(0.595556\pi\)
\(282\) 25.0914 27.0396i 1.49417 1.61018i
\(283\) 23.3509 + 13.4816i 1.38806 + 0.801399i 0.993097 0.117296i \(-0.0374225\pi\)
0.394967 + 0.918695i \(0.370756\pi\)
\(284\) 24.0767 1.80205i 1.42869 0.106932i
\(285\) 1.10002 + 1.90528i 0.0651593 + 0.112859i
\(286\) 29.8300 9.19983i 1.76389 0.543997i
\(287\) −0.174093 + 0.585356i −0.0102764 + 0.0345525i
\(288\) 2.75120 36.5981i 0.162116 2.15656i
\(289\) −1.13286 1.96217i −0.0666389 0.115422i
\(290\) 4.19815 + 0.958404i 0.246524 + 0.0562794i
\(291\) −8.87967 + 15.3800i −0.520535 + 0.901594i
\(292\) 3.90598 8.10892i 0.228580 0.474539i
\(293\) 2.04836 0.119666 0.0598332 0.998208i \(-0.480943\pi\)
0.0598332 + 0.998208i \(0.480943\pi\)
\(294\) 8.39791 29.3137i 0.489776 1.70961i
\(295\) 1.13902i 0.0663166i
\(296\) −0.242994 + 1.61064i −0.0141237 + 0.0936163i
\(297\) 30.5588 + 17.6431i 1.77320 + 1.02376i
\(298\) 8.98098 + 2.05029i 0.520254 + 0.118770i
\(299\) 7.34659 4.24156i 0.424864 0.245295i
\(300\) 3.46986 + 5.09037i 0.200333 + 0.293893i
\(301\) −25.5198 7.58993i −1.47094 0.437477i
\(302\) −2.97925 9.66010i −0.171437 0.555876i
\(303\) 30.1891 17.4297i 1.73432 1.00131i
\(304\) 2.23399 1.78086i 0.128128 0.102140i
\(305\) −0.0888960 + 0.153972i −0.00509017 + 0.00881644i
\(306\) −23.9567 + 25.8168i −1.36952 + 1.47585i
\(307\) 7.59189i 0.433292i 0.976250 + 0.216646i \(0.0695118\pi\)
−0.976250 + 0.216646i \(0.930488\pi\)
\(308\) 12.8577 + 11.6925i 0.732633 + 0.666242i
\(309\) 2.13453i 0.121429i
\(310\) −0.0695962 0.0645819i −0.00395280 0.00366800i
\(311\) −8.84137 + 15.3137i −0.501348 + 0.868360i 0.498651 + 0.866803i \(0.333829\pi\)
−0.999999 + 0.00155721i \(0.999504\pi\)
\(312\) −54.5087 + 21.3843i −3.08594 + 1.21065i
\(313\) 11.5543 6.67087i 0.653087 0.377060i −0.136551 0.990633i \(-0.543602\pi\)
0.789638 + 0.613573i \(0.210268\pi\)
\(314\) −31.2643 + 9.64218i −1.76435 + 0.544140i
\(315\) 12.4644 11.8022i 0.702291 0.664979i
\(316\) −12.5738 18.4461i −0.707332 1.03767i
\(317\) −1.03929 + 0.600036i −0.0583725 + 0.0337014i −0.528902 0.848683i \(-0.677396\pi\)
0.470530 + 0.882384i \(0.344063\pi\)
\(318\) −2.42839 + 10.6372i −0.136177 + 0.596504i
\(319\) 8.66072 + 5.00027i 0.484907 + 0.279961i
\(320\) 5.86593 5.43975i 0.327916 0.304091i
\(321\) 15.7662i 0.879984i
\(322\) 4.11364 + 2.32009i 0.229244 + 0.129294i
\(323\) −2.74162 −0.152548
\(324\) −24.5586 11.8296i −1.36437 0.657202i
\(325\) 3.36039 5.82037i 0.186401 0.322856i
\(326\) 0.261507 1.14549i 0.0144836 0.0634430i
\(327\) −18.8726 32.6884i −1.04366 1.80767i
\(328\) 0.510371 + 0.407124i 0.0281805 + 0.0224796i
\(329\) −5.20616 21.7910i −0.287025 1.20138i
\(330\) 4.21644 + 13.6716i 0.232107 + 0.752598i
\(331\) −3.01312 5.21888i −0.165616 0.286856i 0.771258 0.636523i \(-0.219628\pi\)
−0.936874 + 0.349667i \(0.886295\pi\)
\(332\) 6.47146 0.484365i 0.355168 0.0265830i
\(333\) 3.23577 + 1.86817i 0.177319 + 0.102375i
\(334\) 3.73172 + 3.46286i 0.204191 + 0.189479i
\(335\) −13.8585 −0.757173
\(336\) −25.6870 20.0706i −1.40134 1.09494i
\(337\) −17.3124 −0.943069 −0.471534 0.881848i \(-0.656300\pi\)
−0.471534 + 0.881848i \(0.656300\pi\)
\(338\) 33.3478 + 30.9451i 1.81388 + 1.68319i
\(339\) 17.5621 + 10.1395i 0.953840 + 0.550700i
\(340\) −7.65564 + 0.572996i −0.415185 + 0.0310750i
\(341\) −0.110249 0.190956i −0.00597030 0.0103409i
\(342\) −1.93135 6.26232i −0.104436 0.338627i
\(343\) −11.9813 14.1226i −0.646929 0.762550i
\(344\) −17.7494 + 22.2507i −0.956984 + 1.19968i
\(345\) 1.94398 + 3.36707i 0.104660 + 0.181277i
\(346\) −3.32904 + 14.5824i −0.178970 + 0.783952i
\(347\) −2.07692 + 3.59734i −0.111495 + 0.193115i −0.916373 0.400325i \(-0.868897\pi\)
0.804878 + 0.593440i \(0.202231\pi\)
\(348\) −16.8998 8.14044i −0.905923 0.436373i
\(349\) 12.1023 0.647823 0.323912 0.946087i \(-0.395002\pi\)
0.323912 + 0.946087i \(0.395002\pi\)
\(350\) 3.74147 0.0376810i 0.199990 0.00201413i
\(351\) 72.2064i 3.85409i
\(352\) 16.7410 8.05727i 0.892300 0.429454i
\(353\) 10.4647 + 6.04182i 0.556982 + 0.321573i 0.751933 0.659239i \(-0.229122\pi\)
−0.194952 + 0.980813i \(0.562455\pi\)
\(354\) 1.10432 4.83729i 0.0586938 0.257099i
\(355\) 10.4547 6.03601i 0.554876 0.320358i
\(356\) −17.3193 25.4079i −0.917922 1.34661i
\(357\) 7.26918 + 30.4261i 0.384726 + 1.61032i
\(358\) 25.2458 7.78602i 1.33428 0.411504i
\(359\) −8.88907 + 5.13211i −0.469147 + 0.270862i −0.715883 0.698221i \(-0.753975\pi\)
0.246735 + 0.969083i \(0.420642\pi\)
\(360\) −6.70188 17.0831i −0.353220 0.900359i
\(361\) −9.24493 + 16.0127i −0.486575 + 0.842773i
\(362\) 17.9579 + 16.6641i 0.943846 + 0.875843i
\(363\) 0.656306i 0.0344471i
\(364\) −7.56557 + 34.7490i −0.396543 + 1.82134i
\(365\) 4.50031i 0.235557i
\(366\) 0.526811 0.567714i 0.0275368 0.0296749i
\(367\) 9.27079 16.0575i 0.483931 0.838194i −0.515898 0.856650i \(-0.672542\pi\)
0.999830 + 0.0184562i \(0.00587511\pi\)
\(368\) 3.94796 3.14719i 0.205802 0.164059i
\(369\) 1.29692 0.748779i 0.0675151 0.0389799i
\(370\) 0.240022 + 0.778259i 0.0124781 + 0.0404598i
\(371\) 4.55632 + 4.81197i 0.236552 + 0.249825i
\(372\) 0.232952 + 0.341746i 0.0120780 + 0.0177187i
\(373\) −23.0707 + 13.3199i −1.19456 + 0.689677i −0.959336 0.282266i \(-0.908914\pi\)
−0.235219 + 0.971942i \(0.575581\pi\)
\(374\) −17.3819 3.96815i −0.898795 0.205188i
\(375\) 2.66758 + 1.54013i 0.137753 + 0.0795317i
\(376\) −23.6832 3.57305i −1.22137 0.184266i
\(377\) 20.4642i 1.05396i
\(378\) −34.6096 + 20.4493i −1.78012 + 1.05180i
\(379\) −24.7032 −1.26892 −0.634459 0.772956i \(-0.718777\pi\)
−0.634459 + 0.772956i \(0.718777\pi\)
\(380\) 0.619912 1.28695i 0.0318008 0.0660194i
\(381\) 25.3546 43.9155i 1.29896 2.24986i
\(382\) −11.5607 2.63923i −0.591498 0.135035i
\(383\) −9.52490 16.4976i −0.486700 0.842989i 0.513183 0.858279i \(-0.328466\pi\)
−0.999883 + 0.0152904i \(0.995133\pi\)
\(384\) −30.1858 + 17.4147i −1.54041 + 0.888691i
\(385\) 8.32900 + 2.47716i 0.424485 + 0.126248i
\(386\) 11.6880 3.60467i 0.594902 0.183473i
\(387\) 32.6446 + 56.5421i 1.65942 + 2.87420i
\(388\) 11.4989 0.860652i 0.583770 0.0436930i
\(389\) −26.6121 15.3645i −1.34929 0.779010i −0.361137 0.932513i \(-0.617611\pi\)
−0.988148 + 0.153502i \(0.950945\pi\)
\(390\) −19.9142 + 21.4604i −1.00839 + 1.08669i
\(391\) −4.84507 −0.245026
\(392\) −18.7983 + 6.21484i −0.949457 + 0.313897i
\(393\) 1.58753 0.0800803
\(394\) 9.33409 10.0588i 0.470244 0.506756i
\(395\) −9.66655 5.58099i −0.486377 0.280810i
\(396\) −3.18085 42.4985i −0.159844 2.13563i
\(397\) 14.3388 + 24.8356i 0.719646 + 1.24646i 0.961140 + 0.276061i \(0.0890292\pi\)
−0.241494 + 0.970402i \(0.577637\pi\)
\(398\) 0.511974 0.157897i 0.0256629 0.00791466i
\(399\) −5.57921 1.65933i −0.279310 0.0830705i
\(400\) 1.46206 3.72322i 0.0731028 0.186161i
\(401\) −3.59148 6.22063i −0.179350 0.310643i 0.762308 0.647214i \(-0.224066\pi\)
−0.941658 + 0.336571i \(0.890733\pi\)
\(402\) 58.8554 + 13.4362i 2.93544 + 0.670139i
\(403\) 0.225603 0.390755i 0.0112381 0.0194649i
\(404\) −20.3917 9.82246i −1.01452 0.488686i
\(405\) −13.6296 −0.677262
\(406\) −9.80877 + 5.79558i −0.486801 + 0.287630i
\(407\) 1.89142i 0.0937543i
\(408\) 33.0680 + 4.98892i 1.63711 + 0.246988i
\(409\) −13.5732 7.83652i −0.671154 0.387491i 0.125360 0.992111i \(-0.459991\pi\)
−0.796514 + 0.604620i \(0.793325\pi\)
\(410\) 0.318243 + 0.0726525i 0.0157169 + 0.00358805i
\(411\) −22.5220 + 13.0031i −1.11093 + 0.641395i
\(412\) 1.14519 0.780624i 0.0564197 0.0384586i
\(413\) −2.07200 2.18826i −0.101956 0.107677i
\(414\) −3.41314 11.0669i −0.167747 0.543911i
\(415\) 2.81006 1.62239i 0.137941 0.0796401i
\(416\) 31.4074 + 21.4239i 1.53987 + 1.05039i
\(417\) 29.4222 50.9607i 1.44081 2.49556i
\(418\) 2.25656 2.43177i 0.110372 0.118942i
\(419\) 36.8405i 1.79978i −0.436122 0.899888i \(-0.643648\pi\)
0.436122 0.899888i \(-0.356352\pi\)
\(420\) −15.9261 3.46743i −0.777112 0.169193i
\(421\) 8.37624i 0.408233i −0.978947 0.204116i \(-0.934568\pi\)
0.978947 0.204116i \(-0.0654321\pi\)
\(422\) 1.21876 + 1.13095i 0.0593282 + 0.0550537i
\(423\) −27.4701 + 47.5796i −1.33564 + 2.31340i
\(424\) 6.59504 2.58730i 0.320284 0.125651i
\(425\) −3.32426 + 1.91926i −0.161250 + 0.0930979i
\(426\) −50.2517 + 15.4980i −2.43470 + 0.750883i
\(427\) −0.109307 0.457517i −0.00528972 0.0221408i
\(428\) −8.45871 + 5.76590i −0.408867 + 0.278705i
\(429\) −58.8824 + 33.9958i −2.84287 + 1.64133i
\(430\) −3.16744 + 13.8745i −0.152747 + 0.669087i
\(431\) 20.5648 + 11.8731i 0.990570 + 0.571906i 0.905445 0.424464i \(-0.139538\pi\)
0.0851256 + 0.996370i \(0.472871\pi\)
\(432\) 6.39720 + 42.4962i 0.307785 + 2.04460i
\(433\) 6.49599i 0.312177i −0.987743 0.156089i \(-0.950111\pi\)
0.987743 0.156089i \(-0.0498885\pi\)
\(434\) 0.251187 0.00252975i 0.0120573 0.000121432i
\(435\) −9.37909 −0.449693
\(436\) −10.6356 + 22.0799i −0.509355 + 1.05743i
\(437\) 0.450763 0.780744i 0.0215629 0.0373481i
\(438\) −4.36318 + 19.1123i −0.208481 + 0.913219i
\(439\) −11.0256 19.0969i −0.526223 0.911444i −0.999533 0.0305486i \(-0.990275\pi\)
0.473311 0.880896i \(-0.343059\pi\)
\(440\) 5.79294 7.26204i 0.276168 0.346204i
\(441\) −2.47689 + 45.3480i −0.117947 + 2.15943i
\(442\) −10.7521 34.8634i −0.511427 1.65828i
\(443\) −2.81959 4.88367i −0.133963 0.232030i 0.791238 0.611508i \(-0.209437\pi\)
−0.925201 + 0.379478i \(0.876104\pi\)
\(444\) −0.264797 3.53788i −0.0125667 0.167900i
\(445\) −13.3148 7.68732i −0.631183 0.364414i
\(446\) −8.27187 7.67589i −0.391684 0.363464i
\(447\) −20.0644 −0.949015
\(448\) −1.37400 + 21.1214i −0.0649156 + 0.997891i
\(449\) 16.7623 0.791063 0.395531 0.918452i \(-0.370560\pi\)
0.395531 + 0.918452i \(0.370560\pi\)
\(450\) −6.72571 6.24113i −0.317053 0.294210i
\(451\) 0.656532 + 0.379049i 0.0309149 + 0.0178487i
\(452\) −0.982755 13.1303i −0.0462249 0.617599i
\(453\) 11.0091 + 19.0684i 0.517254 + 0.895910i
\(454\) −2.60834 8.45742i −0.122415 0.396926i
\(455\) 4.13194 + 17.2948i 0.193709 + 0.810792i
\(456\) −3.88042 + 4.86451i −0.181718 + 0.227801i
\(457\) −7.58737 13.1417i −0.354922 0.614744i 0.632182 0.774820i \(-0.282159\pi\)
−0.987105 + 0.160076i \(0.948826\pi\)
\(458\) 4.39015 19.2304i 0.205138 0.898576i
\(459\) 20.6201 35.7150i 0.962463 1.66704i
\(460\) 1.09553 2.27434i 0.0510791 0.106042i
\(461\) 28.7740 1.34014 0.670070 0.742298i \(-0.266264\pi\)
0.670070 + 0.742298i \(0.266264\pi\)
\(462\) −32.9705 18.5954i −1.53393 0.865134i
\(463\) 34.4369i 1.60042i −0.599720 0.800210i \(-0.704721\pi\)
0.599720 0.800210i \(-0.295279\pi\)
\(464\) 1.81304 + 12.0439i 0.0841685 + 0.559126i
\(465\) 0.179090 + 0.103398i 0.00830510 + 0.00479495i
\(466\) 0.0174960 0.0766385i 0.000810486 0.00355021i
\(467\) 15.9360 9.20065i 0.737430 0.425755i −0.0837042 0.996491i \(-0.526675\pi\)
0.821134 + 0.570735i \(0.193342\pi\)
\(468\) 72.0593 49.1194i 3.33094 2.27055i
\(469\) 26.6246 25.2100i 1.22941 1.16409i
\(470\) −11.4437 + 3.52934i −0.527860 + 0.162796i
\(471\) 61.7136 35.6304i 2.84361 1.64176i
\(472\) −2.99911 + 1.17658i −0.138045 + 0.0541566i
\(473\) −16.5254 + 28.6229i −0.759840 + 1.31608i
\(474\) 35.6417 + 33.0737i 1.63708 + 1.51913i
\(475\) 0.714238i 0.0327715i
\(476\) 13.6654 15.0272i 0.626354 0.688769i
\(477\) 16.2505i 0.744057i
\(478\) −7.60754 + 8.19822i −0.347961 + 0.374978i
\(479\) 11.9755 20.7422i 0.547175 0.947735i −0.451292 0.892377i \(-0.649037\pi\)
0.998467 0.0553583i \(-0.0176301\pi\)
\(480\) −9.81893 + 14.3945i −0.448171 + 0.657018i
\(481\) −3.35189 + 1.93521i −0.152833 + 0.0882382i
\(482\) −5.59319 18.1357i −0.254763 0.826056i
\(483\) −9.85974 2.93242i −0.448634 0.133430i
\(484\) −0.352114 + 0.240019i −0.0160052 + 0.0109100i
\(485\) 4.99311 2.88277i 0.226726 0.130900i
\(486\) 13.4447 + 3.06932i 0.609863 + 0.139227i
\(487\) 21.5404 + 12.4364i 0.976089 + 0.563545i 0.901087 0.433638i \(-0.142770\pi\)
0.0750017 + 0.997183i \(0.476104\pi\)
\(488\) −0.497245 0.0750185i −0.0225092 0.00339593i
\(489\) 2.55915i 0.115729i
\(490\) −7.11944 + 6.87849i −0.321624 + 0.310738i
\(491\) −14.2945 −0.645102 −0.322551 0.946552i \(-0.604540\pi\)
−0.322551 + 0.946552i \(0.604540\pi\)
\(492\) −1.28110 0.617091i −0.0577564 0.0278206i
\(493\) 5.84398 10.1221i 0.263200 0.455875i
\(494\) 6.61829 + 1.51090i 0.297771 + 0.0679788i
\(495\) −10.6543 18.4538i −0.478877 0.829439i
\(496\) 0.0981564 0.249962i 0.00440735 0.0112236i
\(497\) −9.10508 + 30.6142i −0.408419 + 1.37324i
\(498\) −13.5069 + 4.16565i −0.605260 + 0.186667i
\(499\) 0.248745 + 0.430838i 0.0111353 + 0.0192870i 0.871539 0.490326i \(-0.163122\pi\)
−0.860404 + 0.509612i \(0.829789\pi\)
\(500\) −0.149275 1.99442i −0.00667578 0.0891932i
\(501\) −9.60274 5.54414i −0.429019 0.247694i
\(502\) 17.6988 19.0730i 0.789935 0.851268i
\(503\) 14.1052 0.628918 0.314459 0.949271i \(-0.398177\pi\)
0.314459 + 0.949271i \(0.398177\pi\)
\(504\) 43.9513 + 20.6281i 1.95775 + 0.918850i
\(505\) −11.3170 −0.503602
\(506\) 3.98786 4.29749i 0.177282 0.191047i
\(507\) −85.8130 49.5441i −3.81109 2.20033i
\(508\) −32.8336 + 2.45747i −1.45675 + 0.109033i
\(509\) 13.9373 + 24.1401i 0.617760 + 1.06999i 0.989894 + 0.141813i \(0.0452930\pi\)
−0.372133 + 0.928179i \(0.621374\pi\)
\(510\) 15.9785 4.92790i 0.707539 0.218211i
\(511\) 8.18651 + 8.64586i 0.362150 + 0.382470i
\(512\) 20.3825 + 9.82619i 0.900787 + 0.434260i
\(513\) 3.83680 + 6.64553i 0.169399 + 0.293407i
\(514\) −41.2483 9.41666i −1.81938 0.415351i
\(515\) 0.346486 0.600132i 0.0152680 0.0264450i
\(516\) 26.9034 55.8522i 1.18436 2.45876i
\(517\) −27.8120 −1.22317
\(518\) −1.87685 1.05854i −0.0824641 0.0465097i
\(519\) 32.5785i 1.43004i
\(520\) 18.7965 + 2.83580i 0.824282 + 0.124358i
\(521\) 14.0644 + 8.12006i 0.616171 + 0.355746i 0.775377 0.631499i \(-0.217560\pi\)
−0.159206 + 0.987245i \(0.550893\pi\)
\(522\) 27.2374 + 6.21808i 1.19215 + 0.272158i
\(523\) −3.56646 + 2.05910i −0.155950 + 0.0900380i −0.575944 0.817489i \(-0.695366\pi\)
0.419994 + 0.907527i \(0.362032\pi\)
\(524\) −0.580580 0.851724i −0.0253628 0.0372078i
\(525\) −7.92650 + 1.89374i −0.345941 + 0.0826497i
\(526\) 8.33144 + 27.0143i 0.363268 + 1.17788i
\(527\) −0.223177 + 0.128851i −0.00972175 + 0.00561285i
\(528\) −31.6426 + 25.2245i −1.37707 + 1.09776i
\(529\) −10.7034 + 18.5388i −0.465365 + 0.806036i
\(530\) 2.40943 2.59650i 0.104659 0.112785i
\(531\) 7.38993i 0.320696i
\(532\) 1.15014 + 3.60014i 0.0498650 + 0.156086i
\(533\) 1.55130i 0.0671943i
\(534\) 49.0933 + 45.5562i 2.12447 + 1.97141i
\(535\) −2.55924 + 4.43274i −0.110646 + 0.191644i
\(536\) −14.3155 36.4903i −0.618336 1.57614i
\(537\) −49.8335 + 28.7714i −2.15047 + 1.24158i
\(538\) 32.2020 9.93135i 1.38833 0.428171i
\(539\) −20.5076 + 10.3922i −0.883324 + 0.447625i
\(540\) 12.1027 + 17.7549i 0.520817 + 0.764051i
\(541\) −5.94834 + 3.43428i −0.255739 + 0.147651i −0.622389 0.782708i \(-0.713838\pi\)
0.366650 + 0.930359i \(0.380505\pi\)
\(542\) −6.25929 + 27.4179i −0.268859 + 1.17770i
\(543\) −46.2106 26.6797i −1.98309 1.14494i
\(544\) −9.41680 19.5658i −0.403742 0.838877i
\(545\) 12.2540i 0.524902i
\(546\) −0.780060 77.4547i −0.0333835 3.31476i
\(547\) −25.9783 −1.11075 −0.555376 0.831599i \(-0.687426\pi\)
−0.555376 + 0.831599i \(0.687426\pi\)
\(548\) 15.2129 + 7.32787i 0.649861 + 0.313031i
\(549\) −0.576753 + 0.998965i −0.0246152 + 0.0426348i
\(550\) 1.03377 4.52827i 0.0440800 0.193086i
\(551\) 1.08740 + 1.88342i 0.0463246 + 0.0802365i
\(552\) −6.85759 + 8.59669i −0.291879 + 0.365900i
\(553\) 28.7234 6.86239i 1.22144 0.291819i
\(554\) 8.24450 + 26.7324i 0.350275 + 1.13575i
\(555\) −0.886943 1.53623i −0.0376486 0.0652093i
\(556\) −38.1009 + 2.85171i −1.61584 + 0.120939i
\(557\) −6.50339 3.75473i −0.275557 0.159093i 0.355853 0.934542i \(-0.384190\pi\)
−0.631410 + 0.775449i \(0.717524\pi\)
\(558\) −0.451537 0.419004i −0.0191151 0.0177378i
\(559\) −67.6322 −2.86054
\(560\) 3.96405 + 9.81256i 0.167512 + 0.414656i
\(561\) 38.8329 1.63953
\(562\) −10.2773 9.53679i −0.433520 0.402285i
\(563\) 25.3072 + 14.6111i 1.06657 + 0.615786i 0.927243 0.374460i \(-0.122172\pi\)
0.139329 + 0.990246i \(0.455505\pi\)
\(564\) 52.0219 3.89364i 2.19052 0.163952i
\(565\) −3.29176 5.70150i −0.138486 0.239864i
\(566\) 11.2379 + 36.4382i 0.472362 + 1.53161i
\(567\) 26.1848 24.7936i 1.09966 1.04123i
\(568\) 26.6925 + 21.2927i 1.11999 + 0.893420i
\(569\) 21.0499 + 36.4596i 0.882460 + 1.52847i 0.848598 + 0.529039i \(0.177447\pi\)
0.0338620 + 0.999427i \(0.489219\pi\)
\(570\) −0.692474 + 3.03328i −0.0290045 + 0.127050i
\(571\) −13.3062 + 23.0470i −0.556846 + 0.964485i 0.440911 + 0.897551i \(0.354655\pi\)
−0.997757 + 0.0669348i \(0.978678\pi\)
\(572\) 39.7731 + 19.1583i 1.66300 + 0.801047i
\(573\) 25.8279 1.07897
\(574\) −0.743560 + 0.439338i −0.0310356 + 0.0183376i
\(575\) 1.26222i 0.0526382i
\(576\) 38.0579 35.2928i 1.58574 1.47053i
\(577\) 25.7918 + 14.8909i 1.07373 + 0.619916i 0.929197 0.369585i \(-0.120500\pi\)
0.144528 + 0.989501i \(0.453833\pi\)
\(578\) 0.713151 3.12385i 0.0296632 0.129935i
\(579\) −23.0712 + 13.3202i −0.958808 + 0.553568i
\(580\) 3.43005 + 5.03197i 0.142425 + 0.208941i
\(581\) −2.44732 + 8.22867i −0.101532 + 0.341383i
\(582\) −24.0000 + 7.40181i −0.994833 + 0.306815i
\(583\) 7.12423 4.11317i 0.295055 0.170350i
\(584\) 11.8496 4.64871i 0.490338 0.192365i
\(585\) 21.8020 37.7622i 0.901403 1.56128i
\(586\) 2.12342 + 1.97043i 0.0877179 + 0.0813979i
\(587\) 25.4403i 1.05003i −0.851092 0.525017i \(-0.824059\pi\)
0.851092 0.525017i \(-0.175941\pi\)
\(588\) 36.9042 22.3095i 1.52190 0.920030i
\(589\) 0.0479510i 0.00197579i
\(590\) −1.09569 + 1.18077i −0.0451090 + 0.0486114i
\(591\) −14.9442 + 25.8841i −0.614721 + 1.06473i
\(592\) −1.80126 + 1.43591i −0.0740314 + 0.0590156i
\(593\) −12.1719 + 7.02748i −0.499842 + 0.288584i −0.728648 0.684888i \(-0.759851\pi\)
0.228806 + 0.973472i \(0.426518\pi\)
\(594\) 14.7067 + 47.6859i 0.603425 + 1.95658i
\(595\) 2.89513 9.73438i 0.118689 0.399071i
\(596\) 7.33782 + 10.7647i 0.300569 + 0.440941i
\(597\) −1.01060 + 0.583471i −0.0413612 + 0.0238799i
\(598\) 11.6960 + 2.67011i 0.478286 + 0.109189i
\(599\) −5.81502 3.35730i −0.237595 0.137176i 0.376476 0.926426i \(-0.377136\pi\)
−0.614071 + 0.789251i \(0.710469\pi\)
\(600\) −1.29970 + 8.61478i −0.0530599 + 0.351697i
\(601\) 2.72540i 0.111171i −0.998454 0.0555856i \(-0.982297\pi\)
0.998454 0.0555856i \(-0.0177026\pi\)
\(602\) −19.1539 32.4171i −0.780653 1.32122i
\(603\) −89.9135 −3.66156
\(604\) 6.20417 12.8800i 0.252444 0.524081i
\(605\) −0.106534 + 0.184523i −0.00433124 + 0.00750193i
\(606\) 48.0620 + 10.9722i 1.95239 + 0.445715i
\(607\) 16.0138 + 27.7367i 0.649979 + 1.12580i 0.983127 + 0.182923i \(0.0585559\pi\)
−0.333148 + 0.942875i \(0.608111\pi\)
\(608\) 4.02897 + 0.302871i 0.163396 + 0.0122830i
\(609\) 18.0188 17.0615i 0.730159 0.691366i
\(610\) −0.240269 + 0.0741009i −0.00972820 + 0.00300026i
\(611\) −28.4559 49.2871i −1.15120 1.99394i
\(612\) −49.6694 + 3.71757i −2.00777 + 0.150274i
\(613\) −26.3757 15.2280i −1.06530 0.615054i −0.138410 0.990375i \(-0.544199\pi\)
−0.926895 + 0.375321i \(0.877532\pi\)
\(614\) −7.30308 + 7.87011i −0.294728 + 0.317612i
\(615\) −0.710988 −0.0286698
\(616\) 2.08116 + 24.4895i 0.0838521 + 0.986711i
\(617\) 25.2200 1.01532 0.507660 0.861557i \(-0.330511\pi\)
0.507660 + 0.861557i \(0.330511\pi\)
\(618\) −2.05333 + 2.21275i −0.0825969 + 0.0890100i
\(619\) 1.07430 + 0.620250i 0.0431800 + 0.0249300i 0.521435 0.853291i \(-0.325397\pi\)
−0.478255 + 0.878221i \(0.658730\pi\)
\(620\) −0.0100217 0.133897i −0.000402481 0.00537744i
\(621\) 6.78050 + 11.7442i 0.272092 + 0.471277i
\(622\) −23.8965 + 7.36988i −0.958163 + 0.295505i
\(623\) 39.5640 9.45235i 1.58510 0.378700i
\(624\) −77.0770 30.2670i −3.08555 1.21165i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 18.3948 + 4.19939i 0.735204 + 0.167842i
\(627\) −3.61283 + 6.25761i −0.144283 + 0.249905i
\(628\) −41.6854 20.0794i −1.66343 0.801256i
\(629\) 2.21057 0.0881411
\(630\) 24.2744 0.244472i 0.967117 0.00974001i
\(631\) 8.73486i 0.347729i −0.984770 0.173865i \(-0.944374\pi\)
0.984770 0.173865i \(-0.0556255\pi\)
\(632\) 4.70974 31.2175i 0.187343 1.24177i
\(633\) −3.13620 1.81069i −0.124653 0.0719683i
\(634\) −1.65459 0.377730i −0.0657121 0.0150016i
\(635\) −14.2571 + 8.23136i −0.565777 + 0.326651i
\(636\) −12.7499 + 8.69101i −0.505567 + 0.344621i
\(637\) −39.3990 25.7098i −1.56105 1.01866i
\(638\) 4.16807 + 13.5148i 0.165015 + 0.535055i
\(639\) 67.8293 39.1613i 2.68329 1.54920i
\(640\) 11.3137 + 0.00367857i 0.447214 + 0.000145408i
\(641\) 10.1834 17.6382i 0.402220 0.696665i −0.591774 0.806104i \(-0.701572\pi\)
0.993994 + 0.109439i \(0.0349054\pi\)
\(642\) 15.1664 16.3440i 0.598571 0.645046i
\(643\) 20.9423i 0.825884i −0.910757 0.412942i \(-0.864501\pi\)
0.910757 0.412942i \(-0.135499\pi\)
\(644\) 2.03256 + 6.36226i 0.0800942 + 0.250708i
\(645\) 30.9970i 1.22051i
\(646\) −2.84209 2.63732i −0.111821 0.103764i
\(647\) 9.88308 17.1180i 0.388544 0.672978i −0.603710 0.797204i \(-0.706311\pi\)
0.992254 + 0.124226i \(0.0396448\pi\)
\(648\) −14.0790 35.8875i −0.553077 1.40980i
\(649\) −3.23976 + 1.87048i −0.127172 + 0.0734226i
\(650\) 9.08249 2.80111i 0.356244 0.109869i
\(651\) −0.532152 + 0.127138i −0.0208567 + 0.00498293i
\(652\) 1.37301 0.935914i 0.0537711 0.0366532i
\(653\) −33.9904 + 19.6243i −1.33015 + 0.767960i −0.985322 0.170708i \(-0.945395\pi\)
−0.344824 + 0.938667i \(0.612061\pi\)
\(654\) 11.8806 52.0410i 0.464567 2.03496i
\(655\) −0.446341 0.257695i −0.0174400 0.0100690i
\(656\) 0.137439 + 0.912999i 0.00536609 + 0.0356466i
\(657\) 29.1978i 1.13911i
\(658\) 15.5651 27.5977i 0.606791 1.07587i
\(659\) 43.0875 1.67845 0.839225 0.543785i \(-0.183009\pi\)
0.839225 + 0.543785i \(0.183009\pi\)
\(660\) −8.78056 + 18.2287i −0.341783 + 0.709551i
\(661\) −4.37780 + 7.58258i −0.170277 + 0.294928i −0.938517 0.345234i \(-0.887800\pi\)
0.768240 + 0.640162i \(0.221133\pi\)
\(662\) 1.89680 8.30863i 0.0737211 0.322924i
\(663\) 39.7320 + 68.8178i 1.54306 + 2.67266i
\(664\) 7.17456 + 5.72316i 0.278427 + 0.222102i
\(665\) 1.29927 + 1.37217i 0.0503835 + 0.0532105i
\(666\) 1.55725 + 5.04931i 0.0603421 + 0.195657i
\(667\) 1.92167 + 3.32844i 0.0744076 + 0.128878i
\(668\) 0.537360 + 7.17952i 0.0207911 + 0.277784i
\(669\) 21.2858 + 12.2894i 0.822956 + 0.475134i
\(670\) −14.3664 13.3313i −0.555023 0.515034i
\(671\) −0.583931 −0.0225424
\(672\) −7.32127 45.5159i −0.282424 1.75581i
\(673\) −13.0780 −0.504121 −0.252060 0.967712i \(-0.581108\pi\)
−0.252060 + 0.967712i \(0.581108\pi\)
\(674\) −17.9469 16.6538i −0.691288 0.641482i
\(675\) 9.30437 + 5.37188i 0.358125 + 0.206764i
\(676\) 4.80201 + 64.1583i 0.184693 + 2.46763i
\(677\) 13.8738 + 24.0302i 0.533215 + 0.923555i 0.999247 + 0.0387876i \(0.0123496\pi\)
−0.466033 + 0.884767i \(0.654317\pi\)
\(678\) 8.45193 + 27.4050i 0.324594 + 1.05248i
\(679\) −4.34855 + 14.6212i −0.166882 + 0.561112i
\(680\) −8.48739 6.77040i −0.325477 0.259633i
\(681\) 9.63849 + 16.6944i 0.369348 + 0.639729i
\(682\) 0.0694029 0.304009i 0.00265758 0.0116411i
\(683\) 23.1088 40.0257i 0.884235 1.53154i 0.0376480 0.999291i \(-0.488013\pi\)
0.846587 0.532250i \(-0.178653\pi\)
\(684\) 4.02196 8.34969i 0.153783 0.319259i
\(685\) 8.44288 0.322586
\(686\) 1.16500 26.1657i 0.0444797 0.999010i
\(687\) 42.9626i 1.63913i
\(688\) −39.8041 + 5.99194i −1.51752 + 0.228441i
\(689\) 14.5784 + 8.41682i 0.555391 + 0.320655i
\(690\) −1.22376 + 5.36049i −0.0465877 + 0.204070i
\(691\) −13.6210 + 7.86409i −0.518167 + 0.299164i −0.736184 0.676781i \(-0.763374\pi\)
0.218017 + 0.975945i \(0.430041\pi\)
\(692\) −17.4786 + 11.9144i −0.664438 + 0.452916i
\(693\) 54.0381 + 16.0717i 2.05274 + 0.610512i
\(694\) −5.61352 + 1.73126i −0.213086 + 0.0657176i
\(695\) −16.5443 + 9.55187i −0.627562 + 0.362323i
\(696\) −9.68835 24.6956i −0.367236 0.936086i
\(697\) 0.443007 0.767311i 0.0167801 0.0290640i
\(698\) 12.5458 + 11.6419i 0.474867 + 0.440654i
\(699\) 0.171218i 0.00647607i
\(700\) 3.91483 + 3.56007i 0.147967 + 0.134558i
\(701\) 36.4270i 1.37583i 0.725792 + 0.687914i \(0.241474\pi\)
−0.725792 + 0.687914i \(0.758526\pi\)
\(702\) −69.4595 + 74.8526i −2.62158 + 2.82513i
\(703\) −0.205661 + 0.356216i −0.00775666 + 0.0134349i
\(704\) 25.1053 + 7.75162i 0.946191 + 0.292150i
\(705\) 22.5891 13.0418i 0.850756 0.491184i
\(706\) 5.03627 + 16.3299i 0.189542 + 0.614583i
\(707\) 21.7419 20.5868i 0.817690 0.774247i
\(708\) 5.79806 3.95226i 0.217904 0.148535i
\(709\) 28.0338 16.1853i 1.05283 0.607853i 0.129391 0.991594i \(-0.458698\pi\)
0.923441 + 0.383741i \(0.125364\pi\)
\(710\) 16.6442 + 3.79974i 0.624645 + 0.142602i
\(711\) −62.7161 36.2091i −2.35204 1.35795i
\(712\) 6.48725 42.9994i 0.243120 1.61147i
\(713\) 0.0847403i 0.00317355i
\(714\) −21.7330 + 38.5337i −0.813338 + 1.44209i
\(715\) 22.0734 0.825497
\(716\) 33.6608 + 16.2141i 1.25796 + 0.605948i
\(717\) 12.1799 21.0962i 0.454868 0.787854i
\(718\) −14.1517 3.23073i −0.528137 0.120570i
\(719\) 0.853166 + 1.47773i 0.0318177 + 0.0551099i 0.881496 0.472192i \(-0.156537\pi\)
−0.849678 + 0.527302i \(0.823204\pi\)
\(720\) 9.48574 24.1561i 0.353513 0.900244i
\(721\) 0.426040 + 1.78325i 0.0158666 + 0.0664116i
\(722\) −24.9873 + 7.70628i −0.929930 + 0.286798i
\(723\) 20.6683 + 35.7985i 0.768662 + 1.33136i
\(724\) 2.58590 + 34.5495i 0.0961042 + 1.28402i
\(725\) 2.63697 + 1.52246i 0.0979346 + 0.0565426i
\(726\) 0.631338 0.680358i 0.0234312 0.0252504i
\(727\) −13.8129 −0.512293 −0.256146 0.966638i \(-0.582453\pi\)
−0.256146 + 0.966638i \(0.582453\pi\)
\(728\) −41.2699 + 28.7447i −1.52956 + 1.06535i
\(729\) 10.8521 0.401930
\(730\) 4.32911 4.66524i 0.160228 0.172668i
\(731\) 33.4525 + 19.3138i 1.23729 + 0.714347i
\(732\) 1.09223 0.0817495i 0.0403701 0.00302155i
\(733\) 17.7219 + 30.6952i 0.654574 + 1.13375i 0.982001 + 0.188878i \(0.0604851\pi\)
−0.327427 + 0.944876i \(0.606182\pi\)
\(734\) 25.0572 7.72783i 0.924876 0.285240i
\(735\) 11.7832 18.0573i 0.434631 0.666052i
\(736\) 7.12011 + 0.535241i 0.262451 + 0.0197293i
\(737\) −22.7581 39.4182i −0.838307 1.45199i
\(738\) 2.06475 + 0.471366i 0.0760043 + 0.0173512i
\(739\) 14.3056 24.7780i 0.526240 0.911474i −0.473293 0.880905i \(-0.656935\pi\)
0.999533 0.0305688i \(-0.00973187\pi\)
\(740\) −0.499835 + 1.03767i −0.0183743 + 0.0381456i
\(741\) −14.7859 −0.543175
\(742\) 0.0943801 + 9.37131i 0.00346480 + 0.344031i
\(743\) 21.9551i 0.805456i 0.915320 + 0.402728i \(0.131938\pi\)
−0.915320 + 0.402728i \(0.868062\pi\)
\(744\) −0.0872563 + 0.578361i −0.00319897 + 0.0212037i
\(745\) 5.64120 + 3.25695i 0.206678 + 0.119325i
\(746\) −36.7293 8.38502i −1.34476 0.306997i
\(747\) 18.2316 10.5260i 0.667058 0.385126i
\(748\) −14.2017 20.8342i −0.519264 0.761773i
\(749\) −3.14685 13.1715i −0.114983 0.481277i
\(750\) 1.28380 + 4.16266i 0.0468777 + 0.151999i
\(751\) −2.09527 + 1.20971i −0.0764576 + 0.0441428i −0.537741 0.843110i \(-0.680722\pi\)
0.461284 + 0.887253i \(0.347389\pi\)
\(752\) −21.1140 26.4862i −0.769949 0.965854i
\(753\) −28.3363 + 49.0799i −1.03263 + 1.78857i
\(754\) −19.6857 + 21.2141i −0.716910 + 0.772573i
\(755\) 7.14820i 0.260150i
\(756\) −55.5493 12.0942i −2.02031 0.439863i
\(757\) 12.1295i 0.440854i 0.975403 + 0.220427i \(0.0707451\pi\)
−0.975403 + 0.220427i \(0.929255\pi\)
\(758\) −25.6085 23.7634i −0.930143 0.863127i
\(759\) −6.38470 + 11.0586i −0.231750 + 0.401403i
\(760\) 1.88063 0.737789i 0.0682175 0.0267624i
\(761\) −28.8033 + 16.6296i −1.04412 + 0.602823i −0.920997 0.389569i \(-0.872624\pi\)
−0.123122 + 0.992392i \(0.539291\pi\)
\(762\) 68.5287 21.1348i 2.48253 0.765634i
\(763\) −22.2911 23.5419i −0.806994 0.852274i
\(764\) −9.44558 13.8569i −0.341729 0.501324i
\(765\) −21.5676 + 12.4521i −0.779779 + 0.450206i
\(766\) 5.99604 26.2648i 0.216646 0.948984i
\(767\) −6.62954 3.82757i −0.239379 0.138205i
\(768\) −48.0443 10.9846i −1.73365 0.396372i
\(769\) 32.8673i 1.18523i 0.805487 + 0.592613i \(0.201904\pi\)
−0.805487 + 0.592613i \(0.798096\pi\)
\(770\) 6.25131 + 10.5801i 0.225282 + 0.381280i
\(771\) 92.1529 3.31881
\(772\) 15.5838 + 7.50657i 0.560875 + 0.270167i
\(773\) −13.9148 + 24.1011i −0.500480 + 0.866857i 0.499520 + 0.866302i \(0.333510\pi\)
−1.00000 0.000554379i \(0.999824\pi\)
\(774\) −20.5502 + 90.0169i −0.738661 + 3.23559i
\(775\) −0.0335679 0.0581414i −0.00120580 0.00208850i
\(776\) 12.7482 + 10.1693i 0.457635 + 0.365056i
\(777\) 4.49852 + 1.33792i 0.161383 + 0.0479976i
\(778\) −12.8073 41.5272i −0.459165 1.48882i
\(779\) 0.0824307 + 0.142774i 0.00295339 + 0.00511542i
\(780\) −41.2879 + 3.09024i −1.47834 + 0.110648i
\(781\) 34.3368 + 19.8243i 1.22867 + 0.709370i
\(782\) −5.02262 4.66075i −0.179609 0.166668i
\(783\) −32.7138 −1.16910
\(784\) −25.4656 11.6406i −0.909486 0.415734i
\(785\) −23.1347 −0.825713
\(786\) 1.64571 + 1.52714i 0.0587005 + 0.0544712i
\(787\) −6.78734 3.91867i −0.241943 0.139686i 0.374127 0.927378i \(-0.377943\pi\)
−0.616069 + 0.787692i \(0.711276\pi\)
\(788\) 19.3523 1.44845i 0.689397 0.0515988i
\(789\) −30.7868 53.3244i −1.09604 1.89840i
\(790\) −4.65213 15.0843i −0.165515 0.536676i
\(791\) 16.6956 + 4.96550i 0.593628 + 0.176553i
\(792\) 37.5843 47.1158i 1.33550 1.67419i
\(793\) −0.597451 1.03482i −0.0212161 0.0367474i
\(794\) −9.02648 + 39.5391i −0.320338 + 1.40319i
\(795\) −3.85757 + 6.68151i −0.136814 + 0.236969i
\(796\) 0.682627 + 0.328814i 0.0241951 + 0.0116545i
\(797\) −9.03418 −0.320007 −0.160004 0.987116i \(-0.551151\pi\)
−0.160004 + 0.987116i \(0.551151\pi\)
\(798\) −4.18747 7.08711i −0.148235 0.250881i
\(799\) 32.5048i 1.14994i
\(800\) 5.09722 2.45323i 0.180214 0.0867349i
\(801\) −86.3859 49.8749i −3.05230 1.76224i
\(802\) 2.26088 9.90345i 0.0798345 0.349703i
\(803\) 12.8004 7.39029i 0.451715 0.260798i
\(804\) 48.0872 + 70.5451i 1.69591 + 2.48793i
\(805\) 2.29610 + 2.42494i 0.0809270 + 0.0854678i
\(806\) 0.609761 0.188055i 0.0214779 0.00662396i
\(807\) −63.5644 + 36.6989i −2.23757 + 1.29186i
\(808\) −11.6902 29.7984i −0.411260 1.04830i
\(809\) 4.13014 7.15361i 0.145208 0.251508i −0.784243 0.620454i \(-0.786948\pi\)
0.929451 + 0.368947i \(0.120282\pi\)
\(810\) −14.1291 13.1111i −0.496447 0.460678i
\(811\) 4.89216i 0.171787i −0.996304 0.0858936i \(-0.972626\pi\)
0.996304 0.0858936i \(-0.0273745\pi\)
\(812\) −15.7433 3.42765i −0.552483 0.120287i
\(813\) 61.2543i 2.14828i
\(814\) −1.81947 + 1.96074i −0.0637723 + 0.0687238i
\(815\) 0.415413 0.719516i 0.0145513 0.0252035i
\(816\) 29.4808 + 36.9818i 1.03203 + 1.29462i
\(817\) −6.22454 + 3.59374i −0.217769 + 0.125729i
\(818\) −6.53227 21.1806i −0.228395 0.740562i
\(819\) 26.8078 + 112.208i 0.936742 + 3.92085i
\(820\) 0.260017 + 0.381451i 0.00908020 + 0.0133209i
\(821\) −34.9611 + 20.1848i −1.22015 + 0.704455i −0.964950 0.262433i \(-0.915475\pi\)
−0.255202 + 0.966888i \(0.582142\pi\)
\(822\) −35.8558 8.18561i −1.25062 0.285506i
\(823\) 32.0112 + 18.4817i 1.11584 + 0.644231i 0.940336 0.340247i \(-0.110511\pi\)
0.175505 + 0.984479i \(0.443844\pi\)
\(824\) 1.93809 + 0.292396i 0.0675166 + 0.0101861i
\(825\) 10.1166i 0.352215i
\(826\) −0.0429196 4.26162i −0.00149336 0.148281i
\(827\) 34.0217 1.18305 0.591526 0.806286i \(-0.298526\pi\)
0.591526 + 0.806286i \(0.298526\pi\)
\(828\) 7.10771 14.7558i 0.247010 0.512800i
\(829\) 5.83499 10.1065i 0.202657 0.351013i −0.746726 0.665131i \(-0.768376\pi\)
0.949384 + 0.314118i \(0.101709\pi\)
\(830\) 4.47372 + 1.02132i 0.155285 + 0.0354504i
\(831\) −30.4656 52.7680i −1.05684 1.83050i
\(832\) 11.9495 + 52.4215i 0.414275 + 1.81739i
\(833\) 12.1457 + 23.9679i 0.420825 + 0.830439i
\(834\) 79.5224 24.5254i 2.75364 0.849244i
\(835\) 1.79990 + 3.11752i 0.0622881 + 0.107886i
\(836\) 4.67852 0.350170i 0.161810 0.0121109i
\(837\) 0.624657 + 0.360646i 0.0215913 + 0.0124657i
\(838\) 35.4390 38.1906i 1.22422 1.31927i
\(839\) 29.7543 1.02723 0.513616 0.858020i \(-0.328306\pi\)
0.513616 + 0.858020i \(0.328306\pi\)
\(840\) −13.1742 18.9147i −0.454553 0.652619i
\(841\) 19.7285 0.680294
\(842\) 8.05759 8.68321i 0.277683 0.299243i
\(843\) 26.4462 + 15.2687i 0.910855 + 0.525883i
\(844\) 0.175499 + 2.34479i 0.00604091 + 0.0807110i
\(845\) 16.0844 + 27.8591i 0.553322 + 0.958382i
\(846\) −74.2464 + 22.8982i −2.55264 + 0.787256i
\(847\) −0.130995 0.548296i −0.00450104 0.0188397i
\(848\) 9.32561 + 3.66203i 0.320243 + 0.125755i
\(849\) −41.5268 71.9265i −1.42520 2.46851i
\(850\) −5.29233 1.20820i −0.181526 0.0414409i
\(851\) −0.363450 + 0.629514i −0.0124589 + 0.0215795i
\(852\) −67.0017 32.2740i −2.29544 1.10569i
\(853\) 11.5473 0.395370 0.197685 0.980266i \(-0.436658\pi\)
0.197685 + 0.980266i \(0.436658\pi\)
\(854\) 0.326800 0.579433i 0.0111829 0.0198278i
\(855\) 4.63394i 0.158477i
\(856\) −14.3153 2.15972i −0.489285 0.0738176i
\(857\) 29.7816 + 17.1944i 1.01732 + 0.587350i 0.913327 0.407228i \(-0.133505\pi\)
0.103994 + 0.994578i \(0.466838\pi\)
\(858\) −93.7428 21.4008i −3.20033 0.730610i
\(859\) −4.47750 + 2.58509i −0.152770 + 0.0882020i −0.574436 0.818549i \(-0.694779\pi\)
0.421666 + 0.906751i \(0.361445\pi\)
\(860\) −16.6302 + 11.3360i −0.567084 + 0.386554i
\(861\) 1.36593 1.29336i 0.0465507 0.0440775i
\(862\) 9.89702 + 32.0906i 0.337094 + 1.09301i
\(863\) −24.4172 + 14.0973i −0.831172 + 0.479878i −0.854254 0.519856i \(-0.825986\pi\)
0.0230816 + 0.999734i \(0.492652\pi\)
\(864\) −34.2479 + 50.2074i −1.16514 + 1.70809i
\(865\) −5.28828 + 9.15958i −0.179807 + 0.311435i
\(866\) 6.24886 6.73405i 0.212345 0.228832i
\(867\) 6.97900i 0.237019i
\(868\) 0.262826 + 0.239009i 0.00892088 + 0.00811248i
\(869\) 36.6598i 1.24360i
\(870\) −9.72281 9.02229i −0.329634 0.305884i
\(871\) 46.5701 80.6618i 1.57797 2.73312i
\(872\) −32.2653 + 12.6580i −1.09264 + 0.428654i
\(873\) 32.3950 18.7033i 1.09641 0.633010i
\(874\) 1.21833 0.375742i 0.0412105 0.0127096i
\(875\) 2.53597 + 0.754231i 0.0857314 + 0.0254977i
\(876\) −22.9083 + 15.6155i −0.773998 + 0.527598i
\(877\) −3.75181 + 2.16611i −0.126690 + 0.0731443i −0.562005 0.827133i \(-0.689970\pi\)
0.435316 + 0.900278i \(0.356637\pi\)
\(878\) 6.94074 30.4029i 0.234239 1.02605i
\(879\) −5.46415 3.15473i −0.184301 0.106406i
\(880\) 12.9910 1.95561i 0.437927 0.0659237i
\(881\) 4.70606i 0.158551i 0.996853 + 0.0792757i \(0.0252607\pi\)
−0.996853 + 0.0792757i \(0.974739\pi\)
\(882\) −46.1906 + 44.6273i −1.55532 + 1.50268i
\(883\) −18.9412 −0.637424 −0.318712 0.947852i \(-0.603250\pi\)
−0.318712 + 0.947852i \(0.603250\pi\)
\(884\) 22.3909 46.4841i 0.753087 1.56343i
\(885\) 1.75424 3.03844i 0.0589682 0.102136i
\(886\) 1.77497 7.77497i 0.0596312 0.261205i
\(887\) −16.6634 28.8618i −0.559501 0.969085i −0.997538 0.0701277i \(-0.977659\pi\)
0.438037 0.898957i \(-0.355674\pi\)
\(888\) 3.12879 3.92225i 0.104995 0.131622i
\(889\) 12.4167 41.7489i 0.416442 1.40021i
\(890\) −6.40790 20.7773i −0.214793 0.696458i
\(891\) −22.3822 38.7671i −0.749832 1.29875i
\(892\) −1.19113 15.9144i −0.0398820 0.532853i
\(893\) −5.23789 3.02410i −0.175279 0.101198i
\(894\) −20.7997 19.3011i −0.695647 0.645527i
\(895\) 18.6812 0.624443
\(896\) −21.7422 + 20.5737i −0.726356 + 0.687318i
\(897\) −26.1301 −0.872459
\(898\) 17.3766 + 16.1246i 0.579865 + 0.538086i
\(899\) 0.177035 + 0.102211i 0.00590446 + 0.00340894i
\(900\) −0.968488 12.9397i −0.0322829 0.431323i
\(901\) −4.80720 8.32632i −0.160151 0.277390i
\(902\) 0.315963 + 1.02450i 0.0105204 + 0.0341120i
\(903\) 56.3866 + 59.5505i 1.87643 + 1.98172i
\(904\) 11.6120 14.5569i 0.386211 0.484155i
\(905\) 8.66153 + 15.0022i 0.287919 + 0.498690i
\(906\) −6.93038 + 30.3575i −0.230246 + 1.00856i
\(907\) −22.7638 + 39.4281i −0.755861 + 1.30919i 0.189085 + 0.981961i \(0.439448\pi\)
−0.944945 + 0.327228i \(0.893885\pi\)
\(908\) 5.43175 11.2765i 0.180259 0.374223i
\(909\) −73.4244 −2.43533
\(910\) −12.3535 + 21.9033i −0.409514 + 0.726089i
\(911\) 9.10038i 0.301509i 0.988571 + 0.150755i \(0.0481703\pi\)
−0.988571 + 0.150755i \(0.951830\pi\)
\(912\) −8.70208 + 1.30997i −0.288155 + 0.0433776i
\(913\) 9.22922 + 5.32850i 0.305443 + 0.176347i
\(914\) 4.77635 20.9221i 0.157987 0.692040i
\(915\) 0.474274 0.273822i 0.0156790 0.00905228i
\(916\) 23.0498 15.7120i 0.761588 0.519138i
\(917\) 1.32627 0.316862i 0.0437972 0.0104637i
\(918\) 55.7321 17.1882i 1.83943 0.567297i
\(919\) −21.5543 + 12.4444i −0.711010 + 0.410502i −0.811435 0.584443i \(-0.801313\pi\)
0.100425 + 0.994945i \(0.467980\pi\)
\(920\) 3.32349 1.30384i 0.109572 0.0429864i
\(921\) 11.6925 20.2519i 0.385280 0.667324i
\(922\) 29.8285 + 27.6794i 0.982350 + 0.911572i
\(923\) 81.1333i 2.67054i
\(924\) −16.2908 50.9931i −0.535929 1.67755i
\(925\) 0.575890i 0.0189351i
\(926\) 33.1269 35.6989i 1.08862 1.17314i
\(927\) 2.24799 3.89362i 0.0738335 0.127883i
\(928\) −9.70628 + 14.2294i −0.318624 + 0.467103i
\(929\) 35.0593 20.2415i 1.15026 0.664102i 0.201308 0.979528i \(-0.435481\pi\)
0.948950 + 0.315426i \(0.102147\pi\)
\(930\) 0.0861890 + 0.279464i 0.00282625 + 0.00916399i
\(931\) −4.99222 0.272673i −0.163614 0.00893648i
\(932\) 0.0918602 0.0626167i 0.00300898 0.00205108i
\(933\) 47.1700 27.2336i 1.54428 0.891589i
\(934\) 25.3706 + 5.79192i 0.830153 + 0.189518i
\(935\) −10.9180 6.30352i −0.357058 0.206147i
\(936\) 121.951 + 18.3985i 3.98609 + 0.601374i
\(937\) 33.0886i 1.08096i −0.841358 0.540478i \(-0.818243\pi\)
0.841358 0.540478i \(-0.181757\pi\)
\(938\) 51.8513 0.522203i 1.69300 0.0170505i
\(939\) −41.0959 −1.34111
\(940\) −15.2582 7.34971i −0.497668 0.239721i
\(941\) −12.0677 + 20.9019i −0.393396 + 0.681382i −0.992895 0.118994i \(-0.962033\pi\)
0.599499 + 0.800375i \(0.295367\pi\)
\(942\) 98.2501 + 22.4298i 3.20116 + 0.730801i
\(943\) 0.145674 + 0.252314i 0.00474379 + 0.00821649i
\(944\) −4.24084 1.66532i −0.138028 0.0542015i
\(945\) −27.6472 + 6.60527i −0.899364 + 0.214870i
\(946\) −44.6650 + 13.7751i −1.45219 + 0.447866i
\(947\) −18.7287 32.4390i −0.608600 1.05413i −0.991471 0.130325i \(-0.958398\pi\)
0.382871 0.923802i \(-0.374935\pi\)
\(948\) 5.13232 + 68.5716i 0.166690 + 2.22710i
\(949\) 26.1935 + 15.1228i 0.850276 + 0.490907i
\(950\) 0.687067 0.740413i 0.0222914 0.0240222i
\(951\) 3.69652 0.119868
\(952\) 28.6217 2.43232i 0.927636 0.0788318i
\(953\) −13.4036 −0.434185 −0.217092 0.976151i \(-0.569657\pi\)
−0.217092 + 0.976151i \(0.569657\pi\)
\(954\) 15.6323 16.8460i 0.506113 0.545409i
\(955\) −7.26161 4.19249i −0.234980 0.135666i
\(956\) −15.7727 + 1.18052i −0.510125 + 0.0381809i
\(957\) −15.4021 26.6772i −0.497879 0.862352i
\(958\) 32.3675 9.98240i 1.04575 0.322517i
\(959\) −16.2202 + 15.3584i −0.523777 + 0.495949i
\(960\) −24.0257 + 5.47667i −0.775426 + 0.176759i
\(961\) 15.4977 + 26.8429i 0.499927 + 0.865899i
\(962\) −5.33632 1.21824i −0.172050 0.0392777i
\(963\) −16.6042 + 28.7594i −0.535064 + 0.926757i
\(964\) 11.6476 24.1807i 0.375143 0.778807i
\(965\) 8.64877 0.278414
\(966\) −7.40021 12.5245i −0.238098 0.402970i
\(967\) 16.1690i 0.519959i 0.965614 + 0.259980i \(0.0837158\pi\)
−0.965614 + 0.259980i \(0.916284\pi\)
\(968\) −0.595906 0.0899033i −0.0191532 0.00288960i
\(969\) 7.31348 + 4.22244i 0.234943 + 0.135644i
\(970\) 7.94920 + 1.81474i 0.255233 + 0.0582679i
\(971\) 11.2868 6.51641i 0.362209 0.209122i −0.307840 0.951438i \(-0.599606\pi\)
0.670049 + 0.742316i \(0.266273\pi\)
\(972\) 10.9848 + 16.1150i 0.352339 + 0.516889i
\(973\) 14.4086 48.4465i 0.461920 1.55312i
\(974\) 10.3665 + 33.6131i 0.332166 + 1.07703i
\(975\) −17.9282 + 10.3508i −0.574162 + 0.331492i
\(976\) −0.443303 0.556096i −0.0141898 0.0178002i
\(977\) 5.75357 9.96548i 0.184073 0.318824i −0.759191 0.650868i \(-0.774405\pi\)
0.943264 + 0.332044i \(0.107738\pi\)
\(978\) −2.46179 + 2.65294i −0.0787195 + 0.0848316i
\(979\) 50.4956i 1.61385i
\(980\) −13.9972 + 0.281964i −0.447123 + 0.00900702i
\(981\) 79.5030i 2.53834i
\(982\) −14.8184 13.7507i −0.472873 0.438803i
\(983\) 6.41950 11.1189i 0.204750 0.354638i −0.745303 0.666726i \(-0.767695\pi\)
0.950053 + 0.312088i \(0.101028\pi\)
\(984\) −0.734432 1.87207i −0.0234128 0.0596794i
\(985\) 8.40323 4.85161i 0.267749 0.154585i
\(986\) 15.7952 4.87136i 0.503020 0.155136i
\(987\) −19.6731 + 66.1474i −0.626202 + 2.10550i
\(988\) 5.40740 + 7.93278i 0.172032 + 0.252375i
\(989\) −11.0002 + 6.35096i −0.349785 + 0.201949i
\(990\) 6.70704 29.3792i 0.213164 0.933731i
\(991\) 21.2549 + 12.2715i 0.675183 + 0.389817i 0.798038 0.602607i \(-0.205871\pi\)
−0.122854 + 0.992425i \(0.539205\pi\)
\(992\) 0.342206 0.164700i 0.0108651 0.00522923i
\(993\) 18.5623i 0.589058i
\(994\) −38.8884 + 22.9775i −1.23346 + 0.728801i
\(995\) 0.378846 0.0120102
\(996\) −18.0091 8.67479i −0.570640 0.274871i
\(997\) −20.2325 + 35.0437i −0.640769 + 1.10984i 0.344493 + 0.938789i \(0.388051\pi\)
−0.985262 + 0.171055i \(0.945282\pi\)
\(998\) −0.156588 + 0.685909i −0.00495670 + 0.0217121i
\(999\) −3.09361 5.35829i −0.0978775 0.169529i
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 280.2.bj.e.171.10 yes 24
4.3 odd 2 1120.2.bz.f.591.12 24
7.5 odd 6 280.2.bj.f.131.6 yes 24
8.3 odd 2 280.2.bj.f.171.6 yes 24
8.5 even 2 1120.2.bz.e.591.12 24
28.19 even 6 1120.2.bz.e.271.12 24
56.5 odd 6 1120.2.bz.f.271.12 24
56.19 even 6 inner 280.2.bj.e.131.10 24
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
280.2.bj.e.131.10 24 56.19 even 6 inner
280.2.bj.e.171.10 yes 24 1.1 even 1 trivial
280.2.bj.f.131.6 yes 24 7.5 odd 6
280.2.bj.f.171.6 yes 24 8.3 odd 2
1120.2.bz.e.271.12 24 28.19 even 6
1120.2.bz.e.591.12 24 8.5 even 2
1120.2.bz.f.271.12 24 56.5 odd 6
1120.2.bz.f.591.12 24 4.3 odd 2