Properties

Label 280.2.ba.b.59.39
Level $280$
Weight $2$
Character 280.59
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [280,2,Mod(19,280)]
 
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, 3, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("280.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (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: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 59.39
Character \(\chi\) \(=\) 280.59
Dual form 280.2.ba.b.19.39

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.39533 + 0.230335i) q^{2} +(0.929162 - 1.60936i) q^{3} +(1.89389 + 0.642786i) q^{4} +(-0.698124 + 2.12429i) q^{5} +(1.66718 - 2.03156i) q^{6} +(-1.10610 - 2.40345i) q^{7} +(2.49455 + 1.33313i) q^{8} +(-0.226682 - 0.392626i) q^{9} +O(q^{10})\) \(q+(1.39533 + 0.230335i) q^{2} +(0.929162 - 1.60936i) q^{3} +(1.89389 + 0.642786i) q^{4} +(-0.698124 + 2.12429i) q^{5} +(1.66718 - 2.03156i) q^{6} +(-1.10610 - 2.40345i) q^{7} +(2.49455 + 1.33313i) q^{8} +(-0.226682 - 0.392626i) q^{9} +(-1.46341 + 2.80329i) q^{10} +(1.61069 - 2.78980i) q^{11} +(2.79420 - 2.45069i) q^{12} +0.668981i q^{13} +(-0.989775 - 3.60837i) q^{14} +(2.77007 + 3.09734i) q^{15} +(3.17365 + 2.43473i) q^{16} +(-1.62295 + 2.81103i) q^{17} +(-0.225862 - 0.600055i) q^{18} +(-5.77054 + 3.33162i) q^{19} +(-2.68764 + 3.57444i) q^{20} +(-4.89574 - 0.453085i) q^{21} +(2.89004 - 3.52170i) q^{22} +(-4.41240 - 7.64251i) q^{23} +(4.46331 - 2.77592i) q^{24} +(-4.02524 - 2.96604i) q^{25} +(-0.154089 + 0.933449i) q^{26} +4.73247 q^{27} +(-0.549930 - 5.26285i) q^{28} +3.17360i q^{29} +(3.15174 + 4.95986i) q^{30} +(-2.58684 + 4.48053i) q^{31} +(3.86749 + 4.12826i) q^{32} +(-2.99319 - 5.18435i) q^{33} +(-2.91203 + 3.54850i) q^{34} +(5.87782 - 0.671772i) q^{35} +(-0.176938 - 0.889299i) q^{36} +(1.15890 + 2.00727i) q^{37} +(-8.81919 + 3.31956i) q^{38} +(1.07663 + 0.621591i) q^{39} +(-4.57346 + 4.36846i) q^{40} -9.34903i q^{41} +(-6.72681 - 1.75986i) q^{42} +6.84531i q^{43} +(4.84372 - 4.24825i) q^{44} +(0.992304 - 0.207439i) q^{45} +(-4.39643 - 11.6802i) q^{46} +(-3.12812 + 1.80602i) q^{47} +(6.86719 - 2.84528i) q^{48} +(-4.55310 + 5.31689i) q^{49} +(-4.93336 - 5.06576i) q^{50} +(3.01597 + 5.22381i) q^{51} +(-0.430011 + 1.26698i) q^{52} +(-0.0130049 + 0.0225252i) q^{53} +(6.60336 + 1.09005i) q^{54} +(4.80189 + 5.36921i) q^{55} +(0.444882 - 7.47008i) q^{56} +12.3825i q^{57} +(-0.730989 + 4.42822i) q^{58} +(0.0160236 + 0.00925120i) q^{59} +(3.25529 + 7.64659i) q^{60} +(0.897835 + 1.55510i) q^{61} +(-4.64151 + 5.65598i) q^{62} +(-0.692921 + 0.979101i) q^{63} +(4.44555 + 6.65110i) q^{64} +(-1.42111 - 0.467032i) q^{65} +(-2.98235 - 7.92332i) q^{66} +(4.14522 + 2.39324i) q^{67} +(-4.88059 + 4.28059i) q^{68} -16.3993 q^{69} +(8.35623 + 0.416520i) q^{70} -8.13591i q^{71} +(-0.0420508 - 1.28162i) q^{72} +(6.30342 - 10.9178i) q^{73} +(1.15470 + 3.06774i) q^{74} +(-8.51352 + 3.72212i) q^{75} +(-13.0703 + 2.60051i) q^{76} +(-8.48672 - 0.785418i) q^{77} +(1.35908 + 1.11531i) q^{78} +(13.5306 - 7.81192i) q^{79} +(-7.38769 + 5.04203i) q^{80} +(5.07728 - 8.79410i) q^{81} +(2.15340 - 13.0450i) q^{82} +6.60312 q^{83} +(-8.98077 - 4.00500i) q^{84} +(-4.83844 - 5.41008i) q^{85} +(-1.57671 + 9.55146i) q^{86} +(5.10745 + 2.94879i) q^{87} +(7.73711 - 4.81204i) q^{88} +(-1.31681 + 0.760263i) q^{89} +(1.43237 - 0.0608833i) q^{90} +(1.60786 - 0.739958i) q^{91} +(-3.44412 - 17.3103i) q^{92} +(4.80718 + 8.32628i) q^{93} +(-4.78076 + 1.79948i) q^{94} +(-3.04879 - 14.5842i) q^{95} +(10.2374 - 2.38835i) q^{96} -12.1700 q^{97} +(-7.57774 + 6.37008i) q^{98} -1.46046 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) \) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.39533 + 0.230335i 0.986647 + 0.162871i
\(3\) 0.929162 1.60936i 0.536452 0.929162i −0.462640 0.886546i \(-0.653098\pi\)
0.999092 0.0426153i \(-0.0135690\pi\)
\(4\) 1.89389 + 0.642786i 0.946946 + 0.321393i
\(5\) −0.698124 + 2.12429i −0.312211 + 0.950013i
\(6\) 1.66718 2.03156i 0.680622 0.829382i
\(7\) −1.10610 2.40345i −0.418066 0.908417i
\(8\) 2.49455 + 1.33313i 0.881956 + 0.471331i
\(9\) −0.226682 0.392626i −0.0755608 0.130875i
\(10\) −1.46341 + 2.80329i −0.462772 + 0.886478i
\(11\) 1.61069 2.78980i 0.485642 0.841157i −0.514222 0.857657i \(-0.671919\pi\)
0.999864 + 0.0165005i \(0.00525252\pi\)
\(12\) 2.79420 2.45069i 0.806617 0.707454i
\(13\) 0.668981i 0.185542i 0.995687 + 0.0927710i \(0.0295724\pi\)
−0.995687 + 0.0927710i \(0.970428\pi\)
\(14\) −0.989775 3.60837i −0.264528 0.964378i
\(15\) 2.77007 + 3.09734i 0.715230 + 0.799730i
\(16\) 3.17365 + 2.43473i 0.793413 + 0.608683i
\(17\) −1.62295 + 2.81103i −0.393624 + 0.681776i −0.992924 0.118748i \(-0.962112\pi\)
0.599301 + 0.800524i \(0.295445\pi\)
\(18\) −0.225862 0.600055i −0.0532361 0.141434i
\(19\) −5.77054 + 3.33162i −1.32385 + 0.764326i −0.984341 0.176276i \(-0.943595\pi\)
−0.339511 + 0.940602i \(0.610262\pi\)
\(20\) −2.68764 + 3.57444i −0.600974 + 0.799269i
\(21\) −4.89574 0.453085i −1.06834 0.0988712i
\(22\) 2.89004 3.52170i 0.616158 0.750828i
\(23\) −4.41240 7.64251i −0.920050 1.59357i −0.799335 0.600886i \(-0.794815\pi\)
−0.120715 0.992687i \(-0.538519\pi\)
\(24\) 4.46331 2.77592i 0.911070 0.566633i
\(25\) −4.02524 2.96604i −0.805049 0.593208i
\(26\) −0.154089 + 0.933449i −0.0302194 + 0.183064i
\(27\) 4.73247 0.910764
\(28\) −0.549930 5.26285i −0.103927 0.994585i
\(29\) 3.17360i 0.589322i 0.955602 + 0.294661i \(0.0952068\pi\)
−0.955602 + 0.294661i \(0.904793\pi\)
\(30\) 3.15174 + 4.95986i 0.575426 + 0.905542i
\(31\) −2.58684 + 4.48053i −0.464609 + 0.804727i −0.999184 0.0403943i \(-0.987139\pi\)
0.534574 + 0.845121i \(0.320472\pi\)
\(32\) 3.86749 + 4.12826i 0.683682 + 0.729780i
\(33\) −2.99319 5.18435i −0.521047 0.902480i
\(34\) −2.91203 + 3.54850i −0.499409 + 0.608562i
\(35\) 5.87782 0.671772i 0.993532 0.113550i
\(36\) −0.176938 0.889299i −0.0294897 0.148216i
\(37\) 1.15890 + 2.00727i 0.190522 + 0.329994i 0.945423 0.325845i \(-0.105649\pi\)
−0.754901 + 0.655838i \(0.772315\pi\)
\(38\) −8.81919 + 3.31956i −1.43066 + 0.538503i
\(39\) 1.07663 + 0.621591i 0.172398 + 0.0995343i
\(40\) −4.57346 + 4.36846i −0.723127 + 0.690715i
\(41\) 9.34903i 1.46007i −0.683408 0.730036i \(-0.739503\pi\)
0.683408 0.730036i \(-0.260497\pi\)
\(42\) −6.72681 1.75986i −1.03797 0.271552i
\(43\) 6.84531i 1.04390i 0.852976 + 0.521950i \(0.174795\pi\)
−0.852976 + 0.521950i \(0.825205\pi\)
\(44\) 4.84372 4.24825i 0.730218 0.640448i
\(45\) 0.992304 0.207439i 0.147924 0.0309231i
\(46\) −4.39643 11.6802i −0.648218 1.72214i
\(47\) −3.12812 + 1.80602i −0.456284 + 0.263436i −0.710480 0.703717i \(-0.751522\pi\)
0.254197 + 0.967153i \(0.418189\pi\)
\(48\) 6.86719 2.84528i 0.991193 0.410680i
\(49\) −4.55310 + 5.31689i −0.650442 + 0.759556i
\(50\) −4.93336 5.06576i −0.697683 0.716407i
\(51\) 3.01597 + 5.22381i 0.422320 + 0.731480i
\(52\) −0.430011 + 1.26698i −0.0596318 + 0.175698i
\(53\) −0.0130049 + 0.0225252i −0.00178637 + 0.00309408i −0.866917 0.498452i \(-0.833902\pi\)
0.865131 + 0.501546i \(0.167235\pi\)
\(54\) 6.60336 + 1.09005i 0.898603 + 0.148337i
\(55\) 4.80189 + 5.36921i 0.647487 + 0.723984i
\(56\) 0.444882 7.47008i 0.0594499 0.998231i
\(57\) 12.3825i 1.64010i
\(58\) −0.730989 + 4.42822i −0.0959836 + 0.581453i
\(59\) 0.0160236 + 0.00925120i 0.00208609 + 0.00120440i 0.501043 0.865423i \(-0.332950\pi\)
−0.498957 + 0.866627i \(0.666283\pi\)
\(60\) 3.25529 + 7.64659i 0.420256 + 0.987171i
\(61\) 0.897835 + 1.55510i 0.114956 + 0.199110i 0.917762 0.397130i \(-0.129994\pi\)
−0.802806 + 0.596240i \(0.796661\pi\)
\(62\) −4.64151 + 5.65598i −0.589473 + 0.718310i
\(63\) −0.692921 + 0.979101i −0.0872998 + 0.123355i
\(64\) 4.44555 + 6.65110i 0.555693 + 0.831387i
\(65\) −1.42111 0.467032i −0.176267 0.0579282i
\(66\) −2.98235 7.92332i −0.367102 0.975293i
\(67\) 4.14522 + 2.39324i 0.506419 + 0.292381i 0.731360 0.681991i \(-0.238886\pi\)
−0.224942 + 0.974372i \(0.572219\pi\)
\(68\) −4.88059 + 4.28059i −0.591858 + 0.519097i
\(69\) −16.3993 −1.97425
\(70\) 8.35623 + 0.416520i 0.998760 + 0.0497837i
\(71\) 8.13591i 0.965555i −0.875743 0.482778i \(-0.839628\pi\)
0.875743 0.482778i \(-0.160372\pi\)
\(72\) −0.0420508 1.28162i −0.00495574 0.151040i
\(73\) 6.30342 10.9178i 0.737760 1.27784i −0.215742 0.976450i \(-0.569217\pi\)
0.953502 0.301387i \(-0.0974495\pi\)
\(74\) 1.15470 + 3.06774i 0.134232 + 0.356618i
\(75\) −8.51352 + 3.72212i −0.983056 + 0.429793i
\(76\) −13.0703 + 2.60051i −1.49926 + 0.298299i
\(77\) −8.48672 0.785418i −0.967151 0.0895067i
\(78\) 1.35908 + 1.11531i 0.153885 + 0.126284i
\(79\) 13.5306 7.81192i 1.52232 0.878910i 0.522665 0.852538i \(-0.324938\pi\)
0.999652 0.0263718i \(-0.00839538\pi\)
\(80\) −7.38769 + 5.04203i −0.825969 + 0.563716i
\(81\) 5.07728 8.79410i 0.564142 0.977123i
\(82\) 2.15340 13.0450i 0.237804 1.44058i
\(83\) 6.60312 0.724787 0.362393 0.932025i \(-0.381960\pi\)
0.362393 + 0.932025i \(0.381960\pi\)
\(84\) −8.98077 4.00500i −0.979882 0.436982i
\(85\) −4.83844 5.41008i −0.524802 0.586805i
\(86\) −1.57671 + 9.55146i −0.170021 + 1.02996i
\(87\) 5.10745 + 2.94879i 0.547576 + 0.316143i
\(88\) 7.73711 4.81204i 0.824779 0.512965i
\(89\) −1.31681 + 0.760263i −0.139582 + 0.0805877i −0.568165 0.822915i \(-0.692346\pi\)
0.428583 + 0.903503i \(0.359013\pi\)
\(90\) 1.43237 0.0608833i 0.150985 0.00641766i
\(91\) 1.60786 0.739958i 0.168549 0.0775687i
\(92\) −3.44412 17.3103i −0.359075 1.80473i
\(93\) 4.80718 + 8.32628i 0.498481 + 0.863395i
\(94\) −4.78076 + 1.79948i −0.493097 + 0.185603i
\(95\) −3.04879 14.5842i −0.312799 1.49631i
\(96\) 10.2374 2.38835i 1.04485 0.243760i
\(97\) −12.1700 −1.23568 −0.617839 0.786305i \(-0.711992\pi\)
−0.617839 + 0.786305i \(0.711992\pi\)
\(98\) −7.57774 + 6.37008i −0.765467 + 0.643475i
\(99\) −1.46046 −0.146782
\(100\) −5.71685 8.20473i −0.571685 0.820473i
\(101\) 7.06658 12.2397i 0.703151 1.21789i −0.264204 0.964467i \(-0.585109\pi\)
0.967355 0.253426i \(-0.0815574\pi\)
\(102\) 3.00505 + 7.98362i 0.297544 + 0.790496i
\(103\) −0.433570 + 0.250322i −0.0427209 + 0.0246649i −0.521208 0.853429i \(-0.674519\pi\)
0.478487 + 0.878094i \(0.341185\pi\)
\(104\) −0.891836 + 1.66881i −0.0874517 + 0.163640i
\(105\) 4.38032 10.0837i 0.427476 0.984066i
\(106\) −0.0233345 + 0.0284346i −0.00226645 + 0.00276181i
\(107\) −16.0652 + 9.27527i −1.55309 + 0.896674i −0.555197 + 0.831719i \(0.687357\pi\)
−0.997888 + 0.0649558i \(0.979309\pi\)
\(108\) 8.96279 + 3.04196i 0.862445 + 0.292713i
\(109\) 3.92950 + 2.26870i 0.376378 + 0.217302i 0.676241 0.736680i \(-0.263608\pi\)
−0.299863 + 0.953982i \(0.596941\pi\)
\(110\) 5.46351 + 8.59786i 0.520925 + 0.819774i
\(111\) 4.30722 0.408823
\(112\) 2.34138 10.3208i 0.221239 0.975220i
\(113\) 6.94668i 0.653489i 0.945113 + 0.326744i \(0.105952\pi\)
−0.945113 + 0.326744i \(0.894048\pi\)
\(114\) −2.85211 + 17.2776i −0.267124 + 1.61820i
\(115\) 19.3153 4.03782i 1.80116 0.376529i
\(116\) −2.03994 + 6.01045i −0.189404 + 0.558056i
\(117\) 0.262659 0.151646i 0.0242828 0.0140197i
\(118\) 0.0202273 + 0.0165993i 0.00186207 + 0.00152809i
\(119\) 8.55131 + 0.791396i 0.783897 + 0.0725471i
\(120\) 2.78093 + 11.4193i 0.253863 + 1.04244i
\(121\) 0.311339 + 0.539255i 0.0283036 + 0.0490232i
\(122\) 0.894584 + 2.37667i 0.0809918 + 0.215174i
\(123\) −15.0459 8.68675i −1.35664 0.783258i
\(124\) −7.77921 + 6.82286i −0.698594 + 0.612711i
\(125\) 9.11086 6.48013i 0.814901 0.579601i
\(126\) −1.19237 + 1.20657i −0.106225 + 0.107489i
\(127\) 5.54642 0.492166 0.246083 0.969249i \(-0.420856\pi\)
0.246083 + 0.969249i \(0.420856\pi\)
\(128\) 4.67103 + 10.3044i 0.412864 + 0.910793i
\(129\) 11.0165 + 6.36040i 0.969951 + 0.560002i
\(130\) −1.87535 0.978995i −0.164479 0.0858635i
\(131\) 1.39758 0.806895i 0.122107 0.0704987i −0.437702 0.899120i \(-0.644208\pi\)
0.559810 + 0.828621i \(0.310874\pi\)
\(132\) −2.33635 11.7426i −0.203353 1.02206i
\(133\) 14.3901 + 10.1841i 1.24778 + 0.883071i
\(134\) 5.23270 + 4.29415i 0.452036 + 0.370958i
\(135\) −3.30385 + 10.0532i −0.284350 + 0.865238i
\(136\) −7.79600 + 4.84866i −0.668501 + 0.415769i
\(137\) 7.25548 + 4.18895i 0.619877 + 0.357886i 0.776821 0.629721i \(-0.216831\pi\)
−0.156944 + 0.987607i \(0.550164\pi\)
\(138\) −22.8825 3.77734i −1.94789 0.321548i
\(139\) 10.1284i 0.859077i −0.903048 0.429539i \(-0.858676\pi\)
0.903048 0.429539i \(-0.141324\pi\)
\(140\) 11.5638 + 2.50591i 0.977316 + 0.211788i
\(141\) 6.71235i 0.565282i
\(142\) 1.87398 11.3523i 0.157261 0.952662i
\(143\) 1.86632 + 1.07752i 0.156070 + 0.0901070i
\(144\) 0.236527 1.79797i 0.0197105 0.149831i
\(145\) −6.74165 2.21557i −0.559864 0.183993i
\(146\) 11.3101 13.7821i 0.936031 1.14061i
\(147\) 4.32620 + 12.2678i 0.356819 + 1.01183i
\(148\) 0.904585 + 4.54648i 0.0743564 + 0.373719i
\(149\) −2.14985 + 1.24122i −0.176123 + 0.101684i −0.585470 0.810694i \(-0.699090\pi\)
0.409347 + 0.912379i \(0.365757\pi\)
\(150\) −12.7365 + 3.23262i −1.03993 + 0.263943i
\(151\) −2.38942 1.37954i −0.194449 0.112265i 0.399615 0.916683i \(-0.369144\pi\)
−0.594063 + 0.804418i \(0.702477\pi\)
\(152\) −18.8364 + 0.618034i −1.52783 + 0.0501292i
\(153\) 1.47158 0.118970
\(154\) −11.6609 3.05070i −0.939659 0.245833i
\(155\) −7.71203 8.62317i −0.619445 0.692629i
\(156\) 1.63947 + 1.86927i 0.131262 + 0.149661i
\(157\) 4.55831 + 2.63174i 0.363793 + 0.210036i 0.670743 0.741690i \(-0.265975\pi\)
−0.306951 + 0.951725i \(0.599309\pi\)
\(158\) 20.6791 7.78364i 1.64514 0.619233i
\(159\) 0.0241674 + 0.0418591i 0.00191660 + 0.00331964i
\(160\) −11.4696 + 5.33365i −0.906753 + 0.421662i
\(161\) −13.4878 + 19.0583i −1.06299 + 1.50201i
\(162\) 9.11006 11.1012i 0.715754 0.872193i
\(163\) −3.72563 + 2.15099i −0.291814 + 0.168479i −0.638760 0.769406i \(-0.720552\pi\)
0.346946 + 0.937885i \(0.387219\pi\)
\(164\) 6.00942 17.7060i 0.469257 1.38261i
\(165\) 13.1027 2.73909i 1.02004 0.213237i
\(166\) 9.21353 + 1.52093i 0.715109 + 0.118047i
\(167\) 3.88102i 0.300322i −0.988662 0.150161i \(-0.952021\pi\)
0.988662 0.150161i \(-0.0479792\pi\)
\(168\) −11.6086 7.65688i −0.895626 0.590741i
\(169\) 12.5525 0.965574
\(170\) −5.50509 8.66330i −0.422221 0.664445i
\(171\) 2.61616 + 1.51044i 0.200063 + 0.115506i
\(172\) −4.40006 + 12.9643i −0.335502 + 0.988516i
\(173\) 14.3964 8.31178i 1.09454 0.631933i 0.159758 0.987156i \(-0.448929\pi\)
0.934781 + 0.355223i \(0.115595\pi\)
\(174\) 6.44737 + 5.29095i 0.488774 + 0.401106i
\(175\) −2.67640 + 12.9552i −0.202317 + 0.979320i
\(176\) 11.9042 4.93226i 0.897313 0.371783i
\(177\) 0.0297769 0.0171917i 0.00223817 0.00129221i
\(178\) −2.01250 + 0.757510i −0.150844 + 0.0567777i
\(179\) 7.95928 13.7859i 0.594905 1.03040i −0.398656 0.917101i \(-0.630523\pi\)
0.993560 0.113304i \(-0.0361435\pi\)
\(180\) 2.01266 + 0.244973i 0.150015 + 0.0182592i
\(181\) 7.50289 0.557685 0.278843 0.960337i \(-0.410049\pi\)
0.278843 + 0.960337i \(0.410049\pi\)
\(182\) 2.41393 0.662140i 0.178933 0.0490811i
\(183\) 3.33693 0.246673
\(184\) −0.818525 24.9469i −0.0603425 1.83911i
\(185\) −5.07309 + 1.06052i −0.372981 + 0.0779708i
\(186\) 4.78977 + 12.7252i 0.351203 + 0.933054i
\(187\) 5.22815 + 9.05542i 0.382320 + 0.662198i
\(188\) −7.08522 + 1.40970i −0.516742 + 0.102813i
\(189\) −5.23458 11.3742i −0.380759 0.827354i
\(190\) −0.894820 21.0520i −0.0649171 1.52727i
\(191\) −12.2310 + 7.06156i −0.885002 + 0.510956i −0.872304 0.488963i \(-0.837375\pi\)
−0.0126977 + 0.999919i \(0.504042\pi\)
\(192\) 14.8346 0.974517i 1.07060 0.0703297i
\(193\) −7.10077 4.09963i −0.511124 0.295098i 0.222171 0.975008i \(-0.428686\pi\)
−0.733296 + 0.679910i \(0.762019\pi\)
\(194\) −16.9812 2.80318i −1.21918 0.201256i
\(195\) −2.07206 + 1.85313i −0.148383 + 0.132705i
\(196\) −12.0407 + 7.14295i −0.860049 + 0.510211i
\(197\) −6.63166 −0.472486 −0.236243 0.971694i \(-0.575916\pi\)
−0.236243 + 0.971694i \(0.575916\pi\)
\(198\) −2.03783 0.336395i −0.144822 0.0239066i
\(199\) −1.78141 + 3.08549i −0.126281 + 0.218725i −0.922233 0.386635i \(-0.873637\pi\)
0.795952 + 0.605360i \(0.206971\pi\)
\(200\) −6.08706 12.7651i −0.430420 0.902629i
\(201\) 7.70315 4.44742i 0.543338 0.313697i
\(202\) 12.6794 15.4507i 0.892121 1.08711i
\(203\) 7.62757 3.51031i 0.535350 0.246375i
\(204\) 2.35413 + 11.8320i 0.164822 + 0.828402i
\(205\) 19.8601 + 6.52678i 1.38709 + 0.455850i
\(206\) −0.662631 + 0.249415i −0.0461677 + 0.0173776i
\(207\) −2.00043 + 3.46485i −0.139039 + 0.240823i
\(208\) −1.62879 + 2.12311i −0.112936 + 0.147211i
\(209\) 21.4649i 1.48476i
\(210\) 8.43461 13.0611i 0.582044 0.901303i
\(211\) −13.5590 −0.933438 −0.466719 0.884406i \(-0.654564\pi\)
−0.466719 + 0.884406i \(0.654564\pi\)
\(212\) −0.0391088 + 0.0343009i −0.00268601 + 0.00235580i
\(213\) −13.0936 7.55958i −0.897157 0.517974i
\(214\) −24.5527 + 9.24169i −1.67839 + 0.631749i
\(215\) −14.5414 4.77888i −0.991718 0.325917i
\(216\) 11.8054 + 6.30898i 0.803254 + 0.429272i
\(217\) 13.6300 + 1.26141i 0.925265 + 0.0856303i
\(218\) 4.96039 + 4.07068i 0.335960 + 0.275702i
\(219\) −11.7138 20.2889i −0.791545 1.37100i
\(220\) 5.64301 + 13.2553i 0.380452 + 0.893672i
\(221\) −1.88053 1.08572i −0.126498 0.0730337i
\(222\) 6.01000 + 0.992102i 0.403365 + 0.0665855i
\(223\) 17.5244i 1.17352i 0.809760 + 0.586761i \(0.199597\pi\)
−0.809760 + 0.586761i \(0.800403\pi\)
\(224\) 5.64422 13.8616i 0.377120 0.926164i
\(225\) −0.252091 + 2.25276i −0.0168061 + 0.150184i
\(226\) −1.60006 + 9.69291i −0.106434 + 0.644763i
\(227\) 5.47563 9.48408i 0.363431 0.629480i −0.625092 0.780551i \(-0.714939\pi\)
0.988523 + 0.151071i \(0.0482721\pi\)
\(228\) −7.95926 + 23.4510i −0.527115 + 1.55308i
\(229\) 9.35182 + 16.1978i 0.617985 + 1.07038i 0.989853 + 0.142096i \(0.0453842\pi\)
−0.371867 + 0.928286i \(0.621282\pi\)
\(230\) 27.8813 1.18510i 1.83844 0.0781433i
\(231\) −9.14955 + 12.9284i −0.601996 + 0.850624i
\(232\) −4.23081 + 7.91670i −0.277766 + 0.519757i
\(233\) 3.70368 2.13832i 0.242636 0.140086i −0.373752 0.927529i \(-0.621929\pi\)
0.616388 + 0.787443i \(0.288595\pi\)
\(234\) 0.401425 0.151097i 0.0262420 0.00987753i
\(235\) −1.65270 7.90588i −0.107811 0.515723i
\(236\) 0.0244003 + 0.0278205i 0.00158833 + 0.00181096i
\(237\) 29.0342i 1.88597i
\(238\) 11.7496 + 3.07392i 0.761614 + 0.199253i
\(239\) 25.1064i 1.62400i −0.583658 0.812000i \(-0.698379\pi\)
0.583658 0.812000i \(-0.301621\pi\)
\(240\) 1.25005 + 16.5743i 0.0806904 + 1.06986i
\(241\) 1.69808 + 0.980389i 0.109383 + 0.0631524i 0.553694 0.832721i \(-0.313218\pi\)
−0.444310 + 0.895873i \(0.646551\pi\)
\(242\) 0.310212 + 0.824152i 0.0199412 + 0.0529785i
\(243\) −2.33652 4.04696i −0.149888 0.259613i
\(244\) 0.700809 + 3.52230i 0.0448647 + 0.225492i
\(245\) −8.11601 13.3840i −0.518513 0.855070i
\(246\) −18.9931 15.5865i −1.21096 0.993758i
\(247\) −2.22879 3.86038i −0.141815 0.245630i
\(248\) −12.4261 + 7.72832i −0.789058 + 0.490749i
\(249\) 6.13537 10.6268i 0.388813 0.673444i
\(250\) 14.2053 6.94338i 0.898420 0.439138i
\(251\) 10.2716i 0.648336i −0.945999 0.324168i \(-0.894916\pi\)
0.945999 0.324168i \(-0.105084\pi\)
\(252\) −1.94167 + 1.40891i −0.122314 + 0.0887531i
\(253\) −28.4281 −1.78726
\(254\) 7.73909 + 1.27753i 0.485594 + 0.0801596i
\(255\) −13.2024 + 2.75993i −0.826768 + 0.172834i
\(256\) 4.14415 + 15.4540i 0.259010 + 0.965875i
\(257\) 4.42809 + 7.66968i 0.276217 + 0.478422i 0.970441 0.241337i \(-0.0775859\pi\)
−0.694225 + 0.719759i \(0.744253\pi\)
\(258\) 13.9067 + 11.4123i 0.865792 + 0.710501i
\(259\) 3.54252 5.00559i 0.220121 0.311032i
\(260\) −2.39123 1.79798i −0.148298 0.111506i
\(261\) 1.24604 0.719399i 0.0771277 0.0445297i
\(262\) 2.13595 0.803973i 0.131959 0.0496696i
\(263\) −6.21178 + 10.7591i −0.383035 + 0.663436i −0.991494 0.130149i \(-0.958454\pi\)
0.608459 + 0.793585i \(0.291788\pi\)
\(264\) −0.555253 16.9229i −0.0341734 1.04153i
\(265\) −0.0387711 0.0433517i −0.00238169 0.00266307i
\(266\) 17.7333 + 17.5247i 1.08730 + 1.07451i
\(267\) 2.82563i 0.172926i
\(268\) 6.31225 + 7.19703i 0.385582 + 0.439628i
\(269\) −13.6032 + 23.5615i −0.829403 + 1.43657i 0.0691035 + 0.997609i \(0.477986\pi\)
−0.898507 + 0.438959i \(0.855347\pi\)
\(270\) −6.92556 + 13.2665i −0.421476 + 0.807372i
\(271\) −5.19784 9.00292i −0.315746 0.546889i 0.663850 0.747866i \(-0.268922\pi\)
−0.979596 + 0.200978i \(0.935588\pi\)
\(272\) −11.9948 + 4.96980i −0.727292 + 0.301338i
\(273\) 0.303105 3.27516i 0.0183448 0.198221i
\(274\) 9.15892 + 7.51616i 0.553311 + 0.454068i
\(275\) −14.7581 + 6.45225i −0.889947 + 0.389085i
\(276\) −31.0586 10.5413i −1.86951 0.634509i
\(277\) −10.2142 + 17.6915i −0.613711 + 1.06298i 0.376898 + 0.926255i \(0.376991\pi\)
−0.990609 + 0.136724i \(0.956343\pi\)
\(278\) 2.33291 14.1324i 0.139919 0.847606i
\(279\) 2.34556 0.140425
\(280\) 15.5581 + 6.16010i 0.929772 + 0.368137i
\(281\) −31.1658 −1.85919 −0.929597 0.368578i \(-0.879845\pi\)
−0.929597 + 0.368578i \(0.879845\pi\)
\(282\) −1.54609 + 9.36594i −0.0920681 + 0.557734i
\(283\) −7.09232 + 12.2843i −0.421594 + 0.730223i −0.996096 0.0882807i \(-0.971863\pi\)
0.574501 + 0.818504i \(0.305196\pi\)
\(284\) 5.22965 15.4085i 0.310322 0.914329i
\(285\) −26.3040 8.64449i −1.55811 0.512056i
\(286\) 2.35595 + 1.93338i 0.139310 + 0.114323i
\(287\) −22.4699 + 10.3409i −1.32635 + 0.610406i
\(288\) 0.744167 2.45428i 0.0438505 0.144620i
\(289\) 3.23206 + 5.59809i 0.190121 + 0.329299i
\(290\) −8.89651 4.64428i −0.522421 0.272722i
\(291\) −11.3079 + 19.5859i −0.662881 + 1.14814i
\(292\) 18.9558 16.6255i 1.10931 0.972932i
\(293\) 13.3400i 0.779333i −0.920956 0.389666i \(-0.872590\pi\)
0.920956 0.389666i \(-0.127410\pi\)
\(294\) 3.21078 + 18.1141i 0.187257 + 1.05644i
\(295\) −0.0308387 + 0.0275802i −0.00179550 + 0.00160578i
\(296\) 0.214982 + 6.55220i 0.0124956 + 0.380839i
\(297\) 7.62256 13.2027i 0.442306 0.766096i
\(298\) −3.28565 + 1.23672i −0.190332 + 0.0716414i
\(299\) 5.11269 2.95181i 0.295675 0.170708i
\(300\) −18.5162 + 1.57692i −1.06903 + 0.0910435i
\(301\) 16.4523 7.57158i 0.948296 0.436418i
\(302\) −3.01628 2.47527i −0.173568 0.142436i
\(303\) −13.1320 22.7453i −0.754413 1.30668i
\(304\) −26.4253 3.47630i −1.51559 0.199380i
\(305\) −3.93028 + 0.821615i −0.225047 + 0.0470455i
\(306\) 2.05334 + 0.338955i 0.117381 + 0.0193768i
\(307\) −15.5134 −0.885395 −0.442697 0.896671i \(-0.645978\pi\)
−0.442697 + 0.896671i \(0.645978\pi\)
\(308\) −15.5681 6.94264i −0.887073 0.395593i
\(309\) 0.930357i 0.0529262i
\(310\) −8.77461 13.8085i −0.498365 0.784271i
\(311\) −4.58870 + 7.94786i −0.260201 + 0.450682i −0.966295 0.257436i \(-0.917122\pi\)
0.706094 + 0.708118i \(0.250456\pi\)
\(312\) 1.85704 + 2.98587i 0.105134 + 0.169042i
\(313\) 16.2088 + 28.0744i 0.916175 + 1.58686i 0.805172 + 0.593041i \(0.202073\pi\)
0.111002 + 0.993820i \(0.464594\pi\)
\(314\) 5.75416 + 4.72208i 0.324726 + 0.266483i
\(315\) −1.59615 2.15550i −0.0899330 0.121449i
\(316\) 30.6470 6.09763i 1.72403 0.343019i
\(317\) 0.205982 + 0.356772i 0.0115691 + 0.0200383i 0.871752 0.489947i \(-0.162984\pi\)
−0.860183 + 0.509986i \(0.829651\pi\)
\(318\) 0.0240799 + 0.0639739i 0.00135033 + 0.00358748i
\(319\) 8.85371 + 5.11169i 0.495713 + 0.286200i
\(320\) −17.2324 + 4.80035i −0.963322 + 0.268348i
\(321\) 34.4729i 1.92409i
\(322\) −23.2097 + 23.4860i −1.29343 + 1.30882i
\(323\) 21.6282i 1.20343i
\(324\) 15.2685 13.3915i 0.848252 0.743971i
\(325\) 1.98423 2.69281i 0.110065 0.149370i
\(326\) −5.69393 + 2.14321i −0.315358 + 0.118701i
\(327\) 7.30229 4.21598i 0.403817 0.233144i
\(328\) 12.4634 23.3216i 0.688178 1.28772i
\(329\) 7.80069 + 5.52064i 0.430066 + 0.304363i
\(330\) 18.9135 0.803922i 1.04115 0.0442545i
\(331\) 14.7269 + 25.5078i 0.809465 + 1.40203i 0.913235 + 0.407433i \(0.133576\pi\)
−0.103770 + 0.994601i \(0.533091\pi\)
\(332\) 12.5056 + 4.24439i 0.686334 + 0.232941i
\(333\) 0.525405 0.910027i 0.0287920 0.0498692i
\(334\) 0.893933 5.41530i 0.0489138 0.296312i
\(335\) −7.97783 + 7.13488i −0.435875 + 0.389820i
\(336\) −14.4342 13.3578i −0.787452 0.728725i
\(337\) 0.726788i 0.0395906i 0.999804 + 0.0197953i \(0.00630146\pi\)
−0.999804 + 0.0197953i \(0.993699\pi\)
\(338\) 17.5148 + 2.89127i 0.952681 + 0.157264i
\(339\) 11.1797 + 6.45459i 0.607197 + 0.350565i
\(340\) −5.68596 13.3562i −0.308365 0.724340i
\(341\) 8.33319 + 14.4335i 0.451268 + 0.781619i
\(342\) 3.30250 + 2.71015i 0.178579 + 0.146548i
\(343\) 17.8150 + 5.06212i 0.961921 + 0.273329i
\(344\) −9.12566 + 17.0759i −0.492023 + 0.920673i
\(345\) 11.4488 34.8370i 0.616382 1.87556i
\(346\) 22.0023 8.28168i 1.18285 0.445226i
\(347\) −14.4004 8.31409i −0.773056 0.446324i 0.0609078 0.998143i \(-0.480600\pi\)
−0.833964 + 0.551819i \(0.813934\pi\)
\(348\) 7.77752 + 8.86767i 0.416919 + 0.475357i
\(349\) −33.3428 −1.78480 −0.892401 0.451244i \(-0.850980\pi\)
−0.892401 + 0.451244i \(0.850980\pi\)
\(350\) −6.71850 + 17.4603i −0.359119 + 0.933292i
\(351\) 3.16593i 0.168985i
\(352\) 17.7464 4.14018i 0.945884 0.220672i
\(353\) 4.25151 7.36384i 0.226285 0.391938i −0.730419 0.682999i \(-0.760675\pi\)
0.956704 + 0.291062i \(0.0940085\pi\)
\(354\) 0.0455085 0.0171295i 0.00241875 0.000910421i
\(355\) 17.2831 + 5.67988i 0.917290 + 0.301457i
\(356\) −2.98259 + 0.593427i −0.158077 + 0.0314515i
\(357\) 9.21918 13.0268i 0.487931 0.689449i
\(358\) 14.2812 17.4026i 0.754784 0.919754i
\(359\) −28.2304 + 16.2989i −1.48995 + 0.860220i −0.999934 0.0114955i \(-0.996341\pi\)
−0.490012 + 0.871716i \(0.663007\pi\)
\(360\) 2.75189 + 0.805402i 0.145038 + 0.0424484i
\(361\) 12.6994 21.9960i 0.668389 1.15768i
\(362\) 10.4690 + 1.72817i 0.550239 + 0.0908309i
\(363\) 1.15714 0.0607340
\(364\) 3.52075 0.367893i 0.184537 0.0192828i
\(365\) 18.7921 + 21.0123i 0.983625 + 1.09984i
\(366\) 4.65613 + 0.768611i 0.243380 + 0.0401760i
\(367\) 3.02375 + 1.74576i 0.157838 + 0.0911280i 0.576839 0.816858i \(-0.304286\pi\)
−0.419000 + 0.907986i \(0.637619\pi\)
\(368\) 4.60402 34.9977i 0.240001 1.82438i
\(369\) −3.67067 + 2.11926i −0.191087 + 0.110324i
\(370\) −7.32292 + 0.311262i −0.380700 + 0.0161817i
\(371\) 0.0685228 + 0.00634157i 0.00355753 + 0.000329238i
\(372\) 3.75227 + 18.8590i 0.194546 + 0.977796i
\(373\) −12.1896 21.1129i −0.631151 1.09319i −0.987317 0.158763i \(-0.949249\pi\)
0.356165 0.934423i \(-0.384084\pi\)
\(374\) 5.20922 + 13.8395i 0.269362 + 0.715625i
\(375\) −1.96337 20.6837i −0.101388 1.06810i
\(376\) −10.2109 + 0.335027i −0.526588 + 0.0172777i
\(377\) −2.12308 −0.109344
\(378\) −4.68408 17.0765i −0.240923 0.878321i
\(379\) −33.6902 −1.73055 −0.865274 0.501299i \(-0.832856\pi\)
−0.865274 + 0.501299i \(0.832856\pi\)
\(380\) 3.60044 29.5806i 0.184698 1.51745i
\(381\) 5.15352 8.92617i 0.264023 0.457301i
\(382\) −18.6928 + 7.03599i −0.956405 + 0.359992i
\(383\) 12.7966 7.38811i 0.653875 0.377515i −0.136064 0.990700i \(-0.543445\pi\)
0.789939 + 0.613185i \(0.210112\pi\)
\(384\) 20.9236 + 2.05715i 1.06776 + 0.104979i
\(385\) 7.59324 17.4800i 0.386987 0.890861i
\(386\) −8.96363 7.35589i −0.456237 0.374405i
\(387\) 2.68764 1.55171i 0.136621 0.0788779i
\(388\) −23.0487 7.82271i −1.17012 0.397138i
\(389\) 0.178263 + 0.102920i 0.00903829 + 0.00521826i 0.504512 0.863404i \(-0.331672\pi\)
−0.495474 + 0.868623i \(0.665006\pi\)
\(390\) −3.31805 + 2.10845i −0.168016 + 0.106766i
\(391\) 28.6445 1.44861
\(392\) −18.4460 + 7.19339i −0.931664 + 0.363321i
\(393\) 2.99894i 0.151277i
\(394\) −9.25335 1.52750i −0.466177 0.0769544i
\(395\) 7.14874 + 34.1968i 0.359692 + 1.72063i
\(396\) −2.76596 0.938764i −0.138995 0.0471747i
\(397\) −4.39175 + 2.53558i −0.220416 + 0.127257i −0.606143 0.795356i \(-0.707284\pi\)
0.385727 + 0.922613i \(0.373951\pi\)
\(398\) −3.19635 + 3.89496i −0.160219 + 0.195237i
\(399\) 29.7605 13.6962i 1.48989 0.685668i
\(400\) −5.55321 19.2136i −0.277661 0.960679i
\(401\) −9.62688 16.6743i −0.480744 0.832672i 0.519012 0.854767i \(-0.326300\pi\)
−0.999756 + 0.0220944i \(0.992967\pi\)
\(402\) 11.7728 4.43131i 0.587176 0.221014i
\(403\) −2.99739 1.73054i −0.149311 0.0862045i
\(404\) 21.2508 18.6383i 1.05727 0.927291i
\(405\) 15.1367 + 16.9250i 0.752148 + 0.841010i
\(406\) 11.4515 3.14115i 0.568329 0.155893i
\(407\) 7.46653 0.370102
\(408\) 0.559478 + 17.0517i 0.0276983 + 0.844186i
\(409\) −18.9967 10.9678i −0.939327 0.542321i −0.0495776 0.998770i \(-0.515788\pi\)
−0.889749 + 0.456450i \(0.849121\pi\)
\(410\) 26.2080 + 13.6815i 1.29432 + 0.675680i
\(411\) 13.4830 7.78442i 0.665068 0.383977i
\(412\) −0.982038 + 0.195390i −0.0483815 + 0.00962617i
\(413\) 0.00451114 0.0487445i 0.000221979 0.00239856i
\(414\) −3.58933 + 4.37383i −0.176406 + 0.214962i
\(415\) −4.60980 + 14.0270i −0.226286 + 0.688557i
\(416\) −2.76173 + 2.58728i −0.135405 + 0.126852i
\(417\) −16.3001 9.41089i −0.798222 0.460853i
\(418\) −4.94410 + 29.9506i −0.241824 + 1.46493i
\(419\) 20.3822i 0.995734i −0.867253 0.497867i \(-0.834117\pi\)
0.867253 0.497867i \(-0.165883\pi\)
\(420\) 14.7775 16.2818i 0.721068 0.794470i
\(421\) 21.2887i 1.03755i 0.854912 + 0.518774i \(0.173611\pi\)
−0.854912 + 0.518774i \(0.826389\pi\)
\(422\) −18.9192 3.12310i −0.920974 0.152030i
\(423\) 1.41818 + 0.818788i 0.0689544 + 0.0398108i
\(424\) −0.0624704 + 0.0388530i −0.00303383 + 0.00188687i
\(425\) 14.8704 6.50136i 0.721321 0.315362i
\(426\) −16.5286 13.5640i −0.800814 0.657178i
\(427\) 2.74449 3.87798i 0.132815 0.187669i
\(428\) −36.3878 + 7.23986i −1.75887 + 0.349952i
\(429\) 3.46823 2.00239i 0.167448 0.0966761i
\(430\) −19.1894 10.0175i −0.925393 0.483087i
\(431\) 18.7227 + 10.8096i 0.901842 + 0.520679i 0.877797 0.479032i \(-0.159012\pi\)
0.0240450 + 0.999711i \(0.492346\pi\)
\(432\) 15.0192 + 11.5223i 0.722613 + 0.554367i
\(433\) −29.8068 −1.43243 −0.716213 0.697882i \(-0.754126\pi\)
−0.716213 + 0.697882i \(0.754126\pi\)
\(434\) 18.7278 + 4.89955i 0.898964 + 0.235186i
\(435\) −9.82972 + 8.79110i −0.471299 + 0.421501i
\(436\) 5.98377 + 6.82250i 0.286570 + 0.326738i
\(437\) 50.9239 + 29.4009i 2.43602 + 1.40644i
\(438\) −11.6714 31.0078i −0.557680 1.48161i
\(439\) 14.9755 + 25.9383i 0.714740 + 1.23797i 0.963060 + 0.269288i \(0.0867883\pi\)
−0.248320 + 0.968678i \(0.579878\pi\)
\(440\) 4.82072 + 19.7953i 0.229819 + 0.943703i
\(441\) 3.11965 + 0.582416i 0.148555 + 0.0277341i
\(442\) −2.37388 1.94809i −0.112914 0.0926613i
\(443\) 32.1133 18.5406i 1.52575 0.880893i 0.526218 0.850350i \(-0.323610\pi\)
0.999533 0.0305429i \(-0.00972363\pi\)
\(444\) 8.15741 + 2.76862i 0.387134 + 0.131393i
\(445\) −0.695721 3.32806i −0.0329803 0.157765i
\(446\) −4.03648 + 24.4524i −0.191133 + 1.15785i
\(447\) 4.61317i 0.218195i
\(448\) 11.0683 18.0414i 0.522930 0.852376i
\(449\) 17.1980 0.811625 0.405813 0.913956i \(-0.366989\pi\)
0.405813 + 0.913956i \(0.366989\pi\)
\(450\) −0.870640 + 3.08528i −0.0410424 + 0.145442i
\(451\) −26.0819 15.0584i −1.22815 0.709073i
\(452\) −4.46523 + 13.1563i −0.210027 + 0.618819i
\(453\) −4.44032 + 2.56362i −0.208625 + 0.120449i
\(454\) 9.82483 11.9722i 0.461102 0.561883i
\(455\) 0.449403 + 3.93215i 0.0210683 + 0.184342i
\(456\) −16.5074 + 30.8886i −0.773029 + 1.44649i
\(457\) 8.54674 4.93447i 0.399800 0.230825i −0.286598 0.958051i \(-0.592524\pi\)
0.686398 + 0.727226i \(0.259191\pi\)
\(458\) 9.31795 + 24.7554i 0.435399 + 1.15674i
\(459\) −7.68057 + 13.3031i −0.358498 + 0.620937i
\(460\) 39.1766 + 4.76842i 1.82662 + 0.222329i
\(461\) −19.0434 −0.886938 −0.443469 0.896290i \(-0.646252\pi\)
−0.443469 + 0.896290i \(0.646252\pi\)
\(462\) −15.7445 + 15.9319i −0.732500 + 0.741218i
\(463\) 15.5965 0.724831 0.362415 0.932017i \(-0.381952\pi\)
0.362415 + 0.932017i \(0.381952\pi\)
\(464\) −7.72686 + 10.0719i −0.358711 + 0.467576i
\(465\) −21.0435 + 4.39908i −0.975867 + 0.204002i
\(466\) 5.66038 2.13058i 0.262212 0.0986970i
\(467\) −11.3528 19.6636i −0.525343 0.909921i −0.999564 0.0295151i \(-0.990604\pi\)
0.474221 0.880406i \(-0.342730\pi\)
\(468\) 0.594924 0.118368i 0.0275004 0.00547157i
\(469\) 1.16701 12.6100i 0.0538876 0.582274i
\(470\) −0.485069 11.4120i −0.0223746 0.526396i
\(471\) 8.47081 4.89062i 0.390314 0.225348i
\(472\) 0.0276385 + 0.0444390i 0.00127217 + 0.00204547i
\(473\) 19.0970 + 11.0257i 0.878083 + 0.506961i
\(474\) 6.68757 40.5122i 0.307170 1.86079i
\(475\) 33.1095 + 3.70506i 1.51917 + 0.170000i
\(476\) 15.6866 + 6.99548i 0.718992 + 0.320637i
\(477\) 0.0117920 0.000539917
\(478\) 5.78288 35.0317i 0.264503 1.60231i
\(479\) 17.2162 29.8193i 0.786626 1.36248i −0.141397 0.989953i \(-0.545159\pi\)
0.928023 0.372523i \(-0.121507\pi\)
\(480\) −2.07340 + 23.4145i −0.0946372 + 1.06872i
\(481\) −1.34283 + 0.775282i −0.0612277 + 0.0353498i
\(482\) 2.14357 + 1.75909i 0.0976369 + 0.0801245i
\(483\) 18.1393 + 39.4149i 0.825366 + 1.79344i
\(484\) 0.243017 + 1.22142i 0.0110462 + 0.0555189i
\(485\) 8.49618 25.8527i 0.385792 1.17391i
\(486\) −2.32806 6.18503i −0.105603 0.280559i
\(487\) −0.417834 + 0.723709i −0.0189338 + 0.0327944i −0.875337 0.483513i \(-0.839361\pi\)
0.856403 + 0.516308i \(0.172694\pi\)
\(488\) 0.166553 + 5.07619i 0.00753951 + 0.229788i
\(489\) 7.99448i 0.361523i
\(490\) −8.24172 20.5444i −0.372323 0.928103i
\(491\) 28.3101 1.27762 0.638809 0.769365i \(-0.279427\pi\)
0.638809 + 0.769365i \(0.279427\pi\)
\(492\) −22.9116 26.1231i −1.03293 1.17772i
\(493\) −8.92109 5.15060i −0.401786 0.231971i
\(494\) −2.22072 5.89987i −0.0999149 0.265448i
\(495\) 1.01958 3.10245i 0.0458269 0.139445i
\(496\) −19.1186 + 7.92140i −0.858451 + 0.355681i
\(497\) −19.5542 + 8.99911i −0.877127 + 0.403665i
\(498\) 11.0086 13.4147i 0.493306 0.601125i
\(499\) 2.19914 + 3.80903i 0.0984472 + 0.170516i 0.911042 0.412313i \(-0.135279\pi\)
−0.812595 + 0.582829i \(0.801946\pi\)
\(500\) 21.4203 6.41634i 0.957946 0.286948i
\(501\) −6.24594 3.60609i −0.279048 0.161108i
\(502\) 2.36590 14.3322i 0.105595 0.639679i
\(503\) 21.2435i 0.947200i 0.880740 + 0.473600i \(0.157046\pi\)
−0.880740 + 0.473600i \(0.842954\pi\)
\(504\) −3.03379 + 1.51866i −0.135136 + 0.0676467i
\(505\) 21.0673 + 23.5563i 0.937482 + 1.04824i
\(506\) −39.6666 6.54798i −1.76340 0.291093i
\(507\) 11.6633 20.2014i 0.517984 0.897174i
\(508\) 10.5043 + 3.56516i 0.466054 + 0.158178i
\(509\) −4.64622 8.04750i −0.205940 0.356699i 0.744492 0.667632i \(-0.232692\pi\)
−0.950432 + 0.310933i \(0.899359\pi\)
\(510\) −19.0574 + 0.810041i −0.843878 + 0.0358692i
\(511\) −33.2126 3.07372i −1.46924 0.135973i
\(512\) 2.22287 + 22.5180i 0.0982381 + 0.995163i
\(513\) −27.3089 + 15.7668i −1.20572 + 0.696121i
\(514\) 4.41206 + 11.7217i 0.194608 + 0.517021i
\(515\) −0.229071 1.09579i −0.0100941 0.0482861i
\(516\) 16.7757 + 19.1272i 0.738511 + 0.842027i
\(517\) 11.6358i 0.511742i
\(518\) 6.09594 6.16849i 0.267840 0.271028i
\(519\) 30.8919i 1.35601i
\(520\) −2.92242 3.05956i −0.128157 0.134170i
\(521\) 19.2972 + 11.1412i 0.845425 + 0.488106i 0.859104 0.511800i \(-0.171021\pi\)
−0.0136798 + 0.999906i \(0.504355\pi\)
\(522\) 1.90433 0.716794i 0.0833504 0.0313732i
\(523\) −1.18906 2.05951i −0.0519939 0.0900560i 0.838857 0.544352i \(-0.183224\pi\)
−0.890851 + 0.454296i \(0.849891\pi\)
\(524\) 3.16553 0.629826i 0.138287 0.0275141i
\(525\) 18.3627 + 16.3447i 0.801413 + 0.713343i
\(526\) −11.1457 + 13.5817i −0.485975 + 0.592192i
\(527\) −8.39662 14.5434i −0.365762 0.633519i
\(528\) 3.12317 23.7409i 0.135919 1.03319i
\(529\) −27.4386 + 47.5251i −1.19298 + 2.06631i
\(530\) −0.0441131 0.0694203i −0.00191615 0.00301542i
\(531\) 0.00838834i 0.000364023i
\(532\) 20.7072 + 28.5373i 0.897771 + 1.23725i
\(533\) 6.25432 0.270905
\(534\) −0.650840 + 3.94268i −0.0281646 + 0.170617i
\(535\) −8.48786 40.6026i −0.366962 1.75540i
\(536\) 7.14995 + 11.4962i 0.308831 + 0.496558i
\(537\) −14.7909 25.6186i −0.638275 1.10552i
\(538\) −24.4080 + 29.7428i −1.05230 + 1.28230i
\(539\) 7.49943 + 21.2661i 0.323023 + 0.915996i
\(540\) −12.7192 + 16.9159i −0.547346 + 0.727945i
\(541\) 18.1918 10.5031i 0.782128 0.451562i −0.0550562 0.998483i \(-0.517534\pi\)
0.837184 + 0.546922i \(0.184200\pi\)
\(542\) −5.17902 13.7593i −0.222458 0.591012i
\(543\) 6.97140 12.0748i 0.299171 0.518180i
\(544\) −17.8814 + 4.17169i −0.766660 + 0.178860i
\(545\) −7.56266 + 6.76358i −0.323949 + 0.289720i
\(546\) 1.17731 4.50011i 0.0503844 0.192587i
\(547\) 14.9270i 0.638234i −0.947715 0.319117i \(-0.896614\pi\)
0.947715 0.319117i \(-0.103386\pi\)
\(548\) 11.0485 + 12.5971i 0.471968 + 0.538123i
\(549\) 0.407047 0.705026i 0.0173723 0.0300898i
\(550\) −22.0786 + 5.60372i −0.941434 + 0.238943i
\(551\) −10.5732 18.3134i −0.450434 0.780175i
\(552\) −40.9090 21.8624i −1.74120 0.930526i
\(553\) −33.7417 23.8794i −1.43485 1.01546i
\(554\) −18.3271 + 22.3328i −0.778645 + 0.948829i
\(555\) −3.00698 + 9.14980i −0.127639 + 0.388387i
\(556\) 6.51037 19.1820i 0.276101 0.813500i
\(557\) −1.63827 + 2.83757i −0.0694157 + 0.120232i −0.898644 0.438678i \(-0.855447\pi\)
0.829229 + 0.558910i \(0.188780\pi\)
\(558\) 3.27283 + 0.540264i 0.138550 + 0.0228712i
\(559\) −4.57938 −0.193687
\(560\) 20.2897 + 12.1789i 0.857398 + 0.514654i
\(561\) 19.4312 0.820385
\(562\) −43.4865 7.17855i −1.83437 0.302809i
\(563\) −4.29192 + 7.43383i −0.180883 + 0.313299i −0.942181 0.335103i \(-0.891229\pi\)
0.761298 + 0.648402i \(0.224562\pi\)
\(564\) −4.31460 + 12.7125i −0.181677 + 0.535291i
\(565\) −14.7568 4.84965i −0.620823 0.204026i
\(566\) −12.7256 + 15.5070i −0.534897 + 0.651807i
\(567\) −26.7521 2.47582i −1.12348 0.103975i
\(568\) 10.8462 20.2954i 0.455097 0.851577i
\(569\) −12.8908 22.3275i −0.540411 0.936019i −0.998880 0.0473086i \(-0.984936\pi\)
0.458470 0.888710i \(-0.348398\pi\)
\(570\) −34.7116 18.1206i −1.45391 0.758990i
\(571\) −15.5532 + 26.9389i −0.650881 + 1.12736i 0.332029 + 0.943269i \(0.392267\pi\)
−0.982909 + 0.184089i \(0.941066\pi\)
\(572\) 2.84200 + 3.24036i 0.118830 + 0.135486i
\(573\) 26.2453i 1.09641i
\(574\) −33.7348 + 9.25343i −1.40806 + 0.386231i
\(575\) −4.90699 + 43.8503i −0.204636 + 1.82869i
\(576\) 1.60366 3.25312i 0.0668193 0.135547i
\(577\) 10.1101 17.5112i 0.420889 0.729001i −0.575137 0.818057i \(-0.695051\pi\)
0.996027 + 0.0890553i \(0.0283848\pi\)
\(578\) 3.22035 + 8.55564i 0.133949 + 0.355868i
\(579\) −13.1955 + 7.61844i −0.548387 + 0.316611i
\(580\) −11.3438 8.52948i −0.471027 0.354167i
\(581\) −7.30370 15.8702i −0.303008 0.658409i
\(582\) −20.2896 + 24.7242i −0.841030 + 1.02485i
\(583\) 0.0418939 + 0.0725624i 0.00173507 + 0.00300523i
\(584\) 30.2791 18.8318i 1.25296 0.779267i
\(585\) 0.138772 + 0.663833i 0.00573753 + 0.0274461i
\(586\) 3.07267 18.6137i 0.126931 0.768927i
\(587\) 21.6836 0.894976 0.447488 0.894290i \(-0.352319\pi\)
0.447488 + 0.894290i \(0.352319\pi\)
\(588\) 0.307797 + 26.0147i 0.0126933 + 1.07283i
\(589\) 34.4734i 1.42045i
\(590\) −0.0493828 + 0.0313803i −0.00203306 + 0.00129191i
\(591\) −6.16188 + 10.6727i −0.253466 + 0.439016i
\(592\) −1.20923 + 9.19200i −0.0496989 + 0.377789i
\(593\) 14.9180 + 25.8387i 0.612609 + 1.06107i 0.990799 + 0.135342i \(0.0432133\pi\)
−0.378190 + 0.925728i \(0.623453\pi\)
\(594\) 13.6770 16.6663i 0.561174 0.683827i
\(595\) −7.65103 + 17.6130i −0.313662 + 0.722062i
\(596\) −4.86942 + 0.968838i −0.199459 + 0.0396852i
\(597\) 3.31044 + 5.73384i 0.135487 + 0.234671i
\(598\) 7.81380 2.94113i 0.319530 0.120272i
\(599\) −6.90813 3.98841i −0.282259 0.162962i 0.352187 0.935930i \(-0.385438\pi\)
−0.634445 + 0.772968i \(0.718771\pi\)
\(600\) −26.1994 2.06460i −1.06959 0.0842869i
\(601\) 42.8990i 1.74989i −0.484224 0.874944i \(-0.660898\pi\)
0.484224 0.874944i \(-0.339102\pi\)
\(602\) 24.7004 6.77531i 1.00671 0.276141i
\(603\) 2.17002i 0.0883702i
\(604\) −3.63857 4.14858i −0.148051 0.168803i
\(605\) −1.36289 + 0.284909i −0.0554094 + 0.0115832i
\(606\) −13.0844 34.7619i −0.531519 1.41211i
\(607\) 24.6567 14.2355i 1.00078 0.577802i 0.0923032 0.995731i \(-0.470577\pi\)
0.908480 + 0.417929i \(0.137244\pi\)
\(608\) −36.0713 10.9372i −1.46288 0.443564i
\(609\) 1.43791 15.5371i 0.0582670 0.629596i
\(610\) −5.67328 + 0.241144i −0.229705 + 0.00976364i
\(611\) −1.20820 2.09266i −0.0488783 0.0846598i
\(612\) 2.78701 + 0.945909i 0.112658 + 0.0382361i
\(613\) −13.6922 + 23.7156i −0.553022 + 0.957863i 0.445032 + 0.895515i \(0.353192\pi\)
−0.998054 + 0.0623483i \(0.980141\pi\)
\(614\) −21.6463 3.57327i −0.873572 0.144205i
\(615\) 28.9571 25.8975i 1.16766 1.04429i
\(616\) −20.1235 13.2731i −0.810798 0.534790i
\(617\) 26.4349i 1.06423i −0.846673 0.532114i \(-0.821398\pi\)
0.846673 0.532114i \(-0.178602\pi\)
\(618\) −0.214293 + 1.29816i −0.00862015 + 0.0522195i
\(619\) −6.44010 3.71819i −0.258850 0.149447i 0.364960 0.931023i \(-0.381083\pi\)
−0.623810 + 0.781576i \(0.714416\pi\)
\(620\) −9.06290 21.2885i −0.363975 0.854968i
\(621\) −20.8816 36.1679i −0.837949 1.45137i
\(622\) −8.23341 + 10.0329i −0.330130 + 0.402285i
\(623\) 3.28377 + 2.32396i 0.131562 + 0.0931076i
\(624\) 1.90343 + 4.59402i 0.0761984 + 0.183908i
\(625\) 7.40519 + 23.8781i 0.296208 + 0.955124i
\(626\) 16.1501 + 42.9065i 0.645487 + 1.71489i
\(627\) 34.5446 + 19.9443i 1.37958 + 0.796500i
\(628\) 6.94130 + 7.91425i 0.276988 + 0.315813i
\(629\) −7.52335 −0.299976
\(630\) −1.73067 3.37529i −0.0689517 0.134475i
\(631\) 23.0524i 0.917701i −0.888514 0.458850i \(-0.848261\pi\)
0.888514 0.458850i \(-0.151739\pi\)
\(632\) 44.1671 1.44915i 1.75687 0.0576443i
\(633\) −12.5985 + 21.8212i −0.500744 + 0.867315i
\(634\) 0.205237 + 0.545260i 0.00815098 + 0.0216550i
\(635\) −3.87209 + 11.7822i −0.153659 + 0.467564i
\(636\) 0.0188640 + 0.0948111i 0.000748005 + 0.00375950i
\(637\) −3.55690 3.04593i −0.140929 0.120684i
\(638\) 11.1764 + 9.17181i 0.442480 + 0.363115i
\(639\) −3.19437 + 1.84427i −0.126367 + 0.0729581i
\(640\) −25.1506 + 2.72885i −0.994165 + 0.107867i
\(641\) 4.04336 7.00330i 0.159703 0.276614i −0.775059 0.631889i \(-0.782280\pi\)
0.934762 + 0.355276i \(0.115613\pi\)
\(642\) −7.94030 + 48.1011i −0.313379 + 1.89840i
\(643\) −22.3144 −0.879995 −0.439998 0.897999i \(-0.645021\pi\)
−0.439998 + 0.897999i \(0.645021\pi\)
\(644\) −37.7949 + 27.4247i −1.48933 + 1.08068i
\(645\) −21.2023 + 18.9620i −0.834838 + 0.746628i
\(646\) 4.98173 30.1785i 0.196003 1.18736i
\(647\) −1.37529 0.794021i −0.0540681 0.0312162i 0.472722 0.881211i \(-0.343271\pi\)
−0.526790 + 0.849995i \(0.676605\pi\)
\(648\) 24.3892 15.1687i 0.958097 0.595881i
\(649\) 0.0516180 0.0298017i 0.00202618 0.00116982i
\(650\) 3.38890 3.30033i 0.132923 0.129449i
\(651\) 14.6945 20.7635i 0.575924 0.813784i
\(652\) −8.43857 + 1.67897i −0.330480 + 0.0657535i
\(653\) 22.2296 + 38.5028i 0.869912 + 1.50673i 0.862086 + 0.506762i \(0.169158\pi\)
0.00782554 + 0.999969i \(0.497509\pi\)
\(654\) 11.1602 4.20071i 0.436398 0.164261i
\(655\) 0.738395 + 3.53219i 0.0288515 + 0.138014i
\(656\) 22.7624 29.6706i 0.888721 1.15844i
\(657\) −5.71550 −0.222983
\(658\) 9.61294 + 9.49988i 0.374752 + 0.370344i
\(659\) 6.14200 0.239259 0.119629 0.992819i \(-0.461829\pi\)
0.119629 + 0.992819i \(0.461829\pi\)
\(660\) 26.5757 + 3.23470i 1.03446 + 0.125910i
\(661\) 4.19173 7.26029i 0.163039 0.282393i −0.772918 0.634506i \(-0.781204\pi\)
0.935957 + 0.352114i \(0.114537\pi\)
\(662\) 14.6736 + 38.9839i 0.570306 + 1.51515i
\(663\) −3.49463 + 2.01762i −0.135720 + 0.0783581i
\(664\) 16.4718 + 8.80280i 0.639230 + 0.341615i
\(665\) −31.6801 + 23.4591i −1.22850 + 0.909706i
\(666\) 0.942724 1.14877i 0.0365298 0.0445139i
\(667\) 24.2543 14.0032i 0.939128 0.542206i
\(668\) 2.49466 7.35023i 0.0965214 0.284389i
\(669\) 28.2030 + 16.2830i 1.09039 + 0.629538i
\(670\) −12.7751 + 8.11794i −0.493545 + 0.313623i
\(671\) 5.78454 0.223310
\(672\) −17.0638 21.9632i −0.658250 0.847248i
\(673\) 5.56001i 0.214323i 0.994242 + 0.107161i \(0.0341761\pi\)
−0.994242 + 0.107161i \(0.965824\pi\)
\(674\) −0.167404 + 1.01411i −0.00644817 + 0.0390620i
\(675\) −19.0494 14.0367i −0.733210 0.540273i
\(676\) 23.7730 + 8.06854i 0.914347 + 0.310329i
\(677\) −13.5074 + 7.79851i −0.519132 + 0.299721i −0.736579 0.676351i \(-0.763560\pi\)
0.217447 + 0.976072i \(0.430227\pi\)
\(678\) 14.1126 + 11.5813i 0.541992 + 0.444779i
\(679\) 13.4612 + 29.2500i 0.516594 + 1.12251i
\(680\) −4.85741 19.9460i −0.186273 0.764892i
\(681\) −10.1755 17.6245i −0.389926 0.675371i
\(682\) 8.30302 + 22.0589i 0.317939 + 0.844681i
\(683\) 13.9790 + 8.07076i 0.534890 + 0.308819i 0.743006 0.669285i \(-0.233400\pi\)
−0.208115 + 0.978104i \(0.566733\pi\)
\(684\) 3.98383 + 4.54224i 0.152326 + 0.173677i
\(685\) −13.9638 + 12.4883i −0.533529 + 0.477155i
\(686\) 23.6919 + 11.1667i 0.904559 + 0.426348i
\(687\) 34.7574 1.32608
\(688\) −16.6665 + 21.7246i −0.635404 + 0.828244i
\(689\) −0.0150689 0.00870005i −0.000574081 0.000331446i
\(690\) 23.9990 45.9721i 0.913626 1.75013i
\(691\) 12.5750 7.26020i 0.478377 0.276191i −0.241363 0.970435i \(-0.577594\pi\)
0.719740 + 0.694244i \(0.244261\pi\)
\(692\) 32.6080 6.48780i 1.23957 0.246629i
\(693\) 1.61541 + 3.51014i 0.0613645 + 0.133339i
\(694\) −18.1783 14.9178i −0.690040 0.566273i
\(695\) 21.5156 + 7.07086i 0.816135 + 0.268213i
\(696\) 8.80967 + 14.1648i 0.333930 + 0.536914i
\(697\) 26.2804 + 15.1730i 0.995442 + 0.574719i
\(698\) −46.5243 7.68001i −1.76097 0.290693i
\(699\) 7.94737i 0.300597i
\(700\) −13.3962 + 22.8154i −0.506330 + 0.862340i
\(701\) 50.0391i 1.88995i 0.327140 + 0.944976i \(0.393915\pi\)
−0.327140 + 0.944976i \(0.606085\pi\)
\(702\) −0.729224 + 4.41752i −0.0275228 + 0.166729i
\(703\) −13.3749 7.72203i −0.504446 0.291242i
\(704\) 25.7157 1.68932i 0.969195 0.0636685i
\(705\) −14.2590 4.68606i −0.537025 0.176487i
\(706\) 7.62841 9.29572i 0.287099 0.349849i
\(707\) −37.2337 3.44586i −1.40032 0.129595i
\(708\) 0.0674449 0.0134191i 0.00253473 0.000504320i
\(709\) −24.6072 + 14.2069i −0.924141 + 0.533553i −0.884954 0.465679i \(-0.845810\pi\)
−0.0391872 + 0.999232i \(0.512477\pi\)
\(710\) 22.8073 + 11.9062i 0.855943 + 0.446831i
\(711\) −6.13432 3.54165i −0.230055 0.132822i
\(712\) −4.29838 + 0.141033i −0.161089 + 0.00528543i
\(713\) 45.6567 1.70986
\(714\) 15.8643 16.0531i 0.593707 0.600773i
\(715\) −3.59190 + 3.21237i −0.134329 + 0.120136i
\(716\) 23.9354 20.9929i 0.894507 0.784540i
\(717\) −40.4051 23.3279i −1.50896 0.871197i
\(718\) −43.1450 + 16.2398i −1.61016 + 0.606065i
\(719\) 6.99938 + 12.1233i 0.261033 + 0.452122i 0.966517 0.256604i \(-0.0826036\pi\)
−0.705484 + 0.708726i \(0.749270\pi\)
\(720\) 3.65429 + 1.75766i 0.136187 + 0.0655040i
\(721\) 1.08121 + 0.765181i 0.0402662 + 0.0284968i
\(722\) 22.7863 27.7665i 0.848017 1.03336i
\(723\) 3.15559 1.82188i 0.117358 0.0677564i
\(724\) 14.2097 + 4.82275i 0.528098 + 0.179236i
\(725\) 9.41303 12.7745i 0.349591 0.474433i
\(726\) 1.61459 + 0.266529i 0.0599230 + 0.00989182i
\(727\) 27.8172i 1.03168i −0.856684 0.515842i \(-0.827479\pi\)
0.856684 0.515842i \(-0.172521\pi\)
\(728\) 4.99734 + 0.297618i 0.185214 + 0.0110304i
\(729\) 21.7797 0.806654
\(730\) 21.3814 + 33.6476i 0.791360 + 1.24535i
\(731\) −19.2424 11.1096i −0.711705 0.410903i
\(732\) 6.31979 + 2.14493i 0.233586 + 0.0792790i
\(733\) 40.1317 23.1700i 1.48230 0.855804i 0.482498 0.875897i \(-0.339729\pi\)
0.999798 + 0.0200925i \(0.00639608\pi\)
\(734\) 3.81702 + 3.13239i 0.140889 + 0.115618i
\(735\) −29.0806 + 0.625674i −1.07266 + 0.0230783i
\(736\) 14.4853 47.7729i 0.533936 1.76093i
\(737\) 13.3533 7.70955i 0.491877 0.283985i
\(738\) −5.60993 + 2.11159i −0.206504 + 0.0777286i
\(739\) −4.81690 + 8.34311i −0.177192 + 0.306906i −0.940918 0.338635i \(-0.890035\pi\)
0.763725 + 0.645541i \(0.223368\pi\)
\(740\) −10.2896 1.25241i −0.378252 0.0460394i
\(741\) −8.28362 −0.304307
\(742\) 0.0941513 + 0.0246318i 0.00345640 + 0.000904260i
\(743\) −32.6002 −1.19599 −0.597993 0.801501i \(-0.704035\pi\)
−0.597993 + 0.801501i \(0.704035\pi\)
\(744\) 0.891758 + 27.1789i 0.0326934 + 0.996426i
\(745\) −1.13585 5.43344i −0.0416142 0.199066i
\(746\) −12.1454 32.2672i −0.444675 1.18139i
\(747\) −1.49681 2.59255i −0.0547655 0.0948566i
\(748\) 4.08086 + 20.5106i 0.149211 + 0.749941i
\(749\) 40.0623 + 28.3526i 1.46385 + 1.03598i
\(750\) 2.02462 29.3128i 0.0739287 1.07035i
\(751\) 4.64496 2.68177i 0.169497 0.0978591i −0.412852 0.910798i \(-0.635467\pi\)
0.582349 + 0.812939i \(0.302134\pi\)
\(752\) −14.3248 1.88445i −0.522370 0.0687189i
\(753\) −16.5306 9.54396i −0.602409 0.347801i
\(754\) −2.96239 0.489018i −0.107884 0.0178090i
\(755\) 4.59865 4.11275i 0.167362 0.149678i
\(756\) −2.60253 24.9063i −0.0946530 0.905833i
\(757\) 14.4301 0.524470 0.262235 0.965004i \(-0.415540\pi\)
0.262235 + 0.965004i \(0.415540\pi\)
\(758\) −47.0089 7.76001i −1.70744 0.281856i
\(759\) −26.4143 + 45.7509i −0.958778 + 1.66065i
\(760\) 11.8372 40.4454i 0.429382 1.46711i
\(761\) −14.5866 + 8.42159i −0.528765 + 0.305283i −0.740513 0.672042i \(-0.765418\pi\)
0.211748 + 0.977324i \(0.432084\pi\)
\(762\) 9.24687 11.2679i 0.334979 0.408193i
\(763\) 1.10628 11.9537i 0.0400500 0.432755i
\(764\) −27.7032 + 5.51193i −1.00227 + 0.199415i
\(765\) −1.02734 + 3.12606i −0.0371437 + 0.113023i
\(766\) 19.5572 7.36136i 0.706630 0.265977i
\(767\) −0.00618888 + 0.0107195i −0.000223467 + 0.000387057i
\(768\) 28.7216 + 7.68984i 1.03640 + 0.277483i
\(769\) 53.2864i 1.92156i −0.277315 0.960779i \(-0.589445\pi\)
0.277315 0.960779i \(-0.410555\pi\)
\(770\) 14.6213 22.6413i 0.526916 0.815937i
\(771\) 16.4577 0.592708
\(772\) −10.8129 12.3285i −0.389165 0.443713i
\(773\) 0.228998 + 0.132212i 0.00823647 + 0.00475533i 0.504113 0.863638i \(-0.331820\pi\)
−0.495876 + 0.868393i \(0.665153\pi\)
\(774\) 4.10756 1.54609i 0.147643 0.0555731i
\(775\) 23.7021 10.3626i 0.851404 0.372235i
\(776\) −30.3587 16.2242i −1.08981 0.582414i
\(777\) −4.76421 10.3522i −0.170915 0.371382i
\(778\) 0.225030 + 0.184668i 0.00806770 + 0.00662066i
\(779\) 31.1474 + 53.9489i 1.11597 + 1.93292i
\(780\) −5.11542 + 2.17773i −0.183162 + 0.0779751i
\(781\) −22.6976 13.1045i −0.812183 0.468914i
\(782\) 39.9685 + 6.59781i 1.42927 + 0.235937i
\(783\) 15.0190i 0.536734i
\(784\) −27.3952 + 5.78840i −0.978398 + 0.206728i
\(785\) −8.77286 + 7.84590i −0.313117 + 0.280032i
\(786\) 0.690760 4.18452i 0.0246386 0.149257i
\(787\) −7.22171 + 12.5084i −0.257426 + 0.445875i −0.965552 0.260211i \(-0.916208\pi\)
0.708126 + 0.706087i \(0.249541\pi\)
\(788\) −12.5596 4.26273i −0.447419 0.151854i
\(789\) 11.5435 + 19.9939i 0.410960 + 0.711803i
\(790\) 2.09816 + 49.3624i 0.0746491 + 1.75623i
\(791\) 16.6960 7.68371i 0.593640 0.273201i
\(792\) −3.64320 1.94698i −0.129455 0.0691830i
\(793\) −1.04033 + 0.600634i −0.0369432 + 0.0213292i
\(794\) −6.71197 + 2.52640i −0.238199 + 0.0896585i
\(795\) −0.105793 + 0.0221157i −0.00375209 + 0.000784364i
\(796\) −5.35711 + 4.69853i −0.189878 + 0.166535i
\(797\) 34.3379i 1.21631i −0.793818 0.608156i \(-0.791909\pi\)
0.793818 0.608156i \(-0.208091\pi\)
\(798\) 44.6805 12.2558i 1.58167 0.433852i
\(799\) 11.7244i 0.414778i
\(800\) −3.32301 28.0884i −0.117486 0.993075i
\(801\) 0.596997 + 0.344676i 0.0210938 + 0.0121785i
\(802\) −9.59202 25.4835i −0.338706 0.899853i
\(803\) −20.3057 35.1706i −0.716574 1.24114i
\(804\) 17.4477 3.47145i 0.615332 0.122429i
\(805\) −31.0693 41.9571i −1.09505 1.47879i
\(806\) −3.78374 3.10508i −0.133277 0.109372i
\(807\) 25.2792 + 43.7848i 0.889870 + 1.54130i
\(808\) 33.9449 21.1118i 1.19418 0.742711i
\(809\) 8.65907 14.9980i 0.304437 0.527300i −0.672699 0.739916i \(-0.734865\pi\)
0.977136 + 0.212616i \(0.0681984\pi\)
\(810\) 17.2223 + 27.1025i 0.605128 + 0.952284i
\(811\) 25.3807i 0.891236i 0.895223 + 0.445618i \(0.147016\pi\)
−0.895223 + 0.445618i \(0.852984\pi\)
\(812\) 16.7022 1.74526i 0.586131 0.0612465i
\(813\) −19.3185 −0.677530
\(814\) 10.4183 + 1.71980i 0.365160 + 0.0602789i
\(815\) −1.96839 9.41600i −0.0689497 0.329828i
\(816\) −3.14694 + 23.9216i −0.110165 + 0.837425i
\(817\) −22.8060 39.5011i −0.797880 1.38197i
\(818\) −23.9804 19.6792i −0.838456 0.688068i
\(819\) −0.655000 0.463551i −0.0228875 0.0161978i
\(820\) 33.4175 + 25.1268i 1.16699 + 0.877465i
\(821\) −20.2636 + 11.6992i −0.707206 + 0.408306i −0.810026 0.586394i \(-0.800547\pi\)
0.102820 + 0.994700i \(0.467214\pi\)
\(822\) 20.6063 7.75624i 0.718727 0.270530i
\(823\) 9.67683 16.7608i 0.337313 0.584243i −0.646613 0.762818i \(-0.723815\pi\)
0.983926 + 0.178575i \(0.0571486\pi\)
\(824\) −1.41527 + 0.0464361i −0.0493033 + 0.00161768i
\(825\) −3.32870 + 29.7462i −0.115890 + 1.03563i
\(826\) 0.0175221 0.0669755i 0.000609671 0.00233038i
\(827\) 29.0919i 1.01162i −0.862644 0.505812i \(-0.831193\pi\)
0.862644 0.505812i \(-0.168807\pi\)
\(828\) −6.01575 + 5.27620i −0.209062 + 0.183360i
\(829\) −13.3551 + 23.1317i −0.463841 + 0.803397i −0.999148 0.0412606i \(-0.986863\pi\)
0.535307 + 0.844658i \(0.320196\pi\)
\(830\) −9.66309 + 18.5105i −0.335411 + 0.642507i
\(831\) 18.9813 + 32.8765i 0.658453 + 1.14047i
\(832\) −4.44946 + 2.97399i −0.154257 + 0.103104i
\(833\) −7.55651 21.4280i −0.261817 0.742435i
\(834\) −20.5764 16.8858i −0.712504 0.584707i
\(835\) 8.24442 + 2.70943i 0.285310 + 0.0937638i
\(836\) −13.7973 + 40.6521i −0.477190 + 1.40598i
\(837\) −12.2421 + 21.2040i −0.423150 + 0.732917i
\(838\) 4.69472 28.4399i 0.162176 0.982439i
\(839\) −24.7914 −0.855896 −0.427948 0.903803i \(-0.640763\pi\)
−0.427948 + 0.903803i \(0.640763\pi\)
\(840\) 24.3697 19.3147i 0.840836 0.666421i
\(841\) 18.9283 0.652699
\(842\) −4.90352 + 29.7047i −0.168986 + 1.02369i
\(843\) −28.9580 + 50.1568i −0.997367 + 1.72749i
\(844\) −25.6792 8.71551i −0.883915 0.300000i
\(845\) −8.76318 + 26.6651i −0.301463 + 0.917308i
\(846\) 1.79024 + 1.46914i 0.0615496 + 0.0505099i
\(847\) 0.951699 1.34476i 0.0327008 0.0462064i
\(848\) −0.0961160 + 0.0398237i −0.00330064 + 0.00136755i
\(849\) 13.1798 + 22.8281i 0.452330 + 0.783459i
\(850\) 22.2466 5.64637i 0.763053 0.193669i
\(851\) 10.2271 17.7138i 0.350579 0.607221i
\(852\) −19.9386 22.7334i −0.683086 0.778833i
\(853\) 50.6858i 1.73545i −0.497047 0.867724i \(-0.665582\pi\)
0.497047 0.867724i \(-0.334418\pi\)
\(854\) 4.72271 4.77892i 0.161608 0.163531i
\(855\) −5.03502 + 4.50301i −0.172194 + 0.154000i
\(856\) −52.4406 + 1.72061i −1.79238 + 0.0588094i
\(857\) −10.5812 + 18.3272i −0.361448 + 0.626047i −0.988199 0.153173i \(-0.951051\pi\)
0.626751 + 0.779219i \(0.284384\pi\)
\(858\) 5.30055 1.99513i 0.180958 0.0681128i
\(859\) 2.47660 1.42986i 0.0845003 0.0487863i −0.457154 0.889387i \(-0.651131\pi\)
0.541655 + 0.840601i \(0.317798\pi\)
\(860\) −24.4681 18.3977i −0.834356 0.627356i
\(861\) −4.23590 + 45.7704i −0.144359 + 1.55985i
\(862\) 23.6346 + 19.3954i 0.804997 + 0.660611i
\(863\) −6.07596 10.5239i −0.206828 0.358237i 0.743886 0.668307i \(-0.232981\pi\)
−0.950714 + 0.310070i \(0.899647\pi\)
\(864\) 18.3028 + 19.5369i 0.622674 + 0.664657i
\(865\) 7.60616 + 36.3849i 0.258617 + 1.23712i
\(866\) −41.5904 6.86555i −1.41330 0.233301i
\(867\) 12.0124 0.407963
\(868\) 25.0029 + 11.1501i 0.848655 + 0.378461i
\(869\) 50.3304i 1.70734i
\(870\) −15.7406 + 10.0024i −0.533656 + 0.339112i
\(871\) −1.60103 + 2.77307i −0.0542489 + 0.0939619i
\(872\) 6.77787 + 10.8979i 0.229528 + 0.369050i
\(873\) 2.75873 + 4.77826i 0.0933688 + 0.161720i
\(874\) 64.2836 + 52.7535i 2.17442 + 1.78441i
\(875\) −25.6522 14.7298i −0.867201 0.497958i
\(876\) −9.14326 45.9544i −0.308922 1.55266i
\(877\) −16.6594 28.8550i −0.562549 0.974363i −0.997273 0.0737992i \(-0.976488\pi\)
0.434725 0.900563i \(-0.356846\pi\)
\(878\) 14.9212 + 39.6418i 0.503567 + 1.33785i
\(879\) −21.4688 12.3950i −0.724126 0.418074i
\(880\) 2.16695 + 28.7313i 0.0730478 + 0.968533i
\(881\) 19.5712i 0.659372i 0.944091 + 0.329686i \(0.106943\pi\)
−0.944091 + 0.329686i \(0.893057\pi\)
\(882\) 4.21880 + 1.53123i 0.142054 + 0.0515591i
\(883\) 42.7210i 1.43768i 0.695178 + 0.718838i \(0.255325\pi\)
−0.695178 + 0.718838i \(0.744675\pi\)
\(884\) −2.86363 3.26502i −0.0963143 0.109814i
\(885\) 0.0157323 + 0.0752569i 0.000528834 + 0.00252973i
\(886\) 49.0793 18.4735i 1.64885 0.620630i
\(887\) 3.02603 1.74708i 0.101604 0.0586613i −0.448337 0.893865i \(-0.647983\pi\)
0.549941 + 0.835203i \(0.314650\pi\)
\(888\) 10.7446 + 5.74207i 0.360564 + 0.192691i
\(889\) −6.13489 13.3305i −0.205757 0.447091i
\(890\) −0.204194 4.80398i −0.00684461 0.161030i
\(891\) −16.3559 28.3292i −0.547942 0.949064i
\(892\) −11.2644 + 33.1894i −0.377162 + 1.11126i
\(893\) 12.0340 20.8434i 0.402701 0.697499i
\(894\) −1.06257 + 6.43689i −0.0355377 + 0.215282i
\(895\) 23.7287 + 26.5321i 0.793162 + 0.886870i
\(896\) 19.5995 22.6243i 0.654775 0.755824i
\(897\) 10.9708i 0.366306i
\(898\) 23.9969 + 3.96130i 0.800788 + 0.132190i
\(899\) −14.2194 8.20958i −0.474244 0.273805i
\(900\) −1.92548 + 4.10445i −0.0641826 + 0.136815i
\(901\) −0.0422128 0.0731146i −0.00140631 0.00243580i
\(902\) −32.9244 27.0190i −1.09626 0.899635i
\(903\) 3.10150 33.5128i 0.103212 1.11524i
\(904\) −9.26081 + 17.3288i −0.308010 + 0.576348i
\(905\) −5.23795 + 15.9383i −0.174115 + 0.529808i
\(906\) −6.78621 + 2.55434i −0.225457 + 0.0848622i
\(907\) −18.3487 10.5936i −0.609258 0.351755i 0.163417 0.986557i \(-0.447748\pi\)
−0.772675 + 0.634802i \(0.781082\pi\)
\(908\) 16.4665 14.4422i 0.546459 0.479280i
\(909\) −6.40748 −0.212523
\(910\) −0.278644 + 5.59016i −0.00923696 + 0.185312i
\(911\) 14.1566i 0.469030i 0.972112 + 0.234515i \(0.0753502\pi\)
−0.972112 + 0.234515i \(0.924650\pi\)
\(912\) −30.1480 + 39.2976i −0.998299 + 1.30127i
\(913\) 10.6356 18.4214i 0.351987 0.609659i
\(914\) 13.0621 4.91660i 0.432056 0.162627i
\(915\) −2.32960 + 7.08863i −0.0770140 + 0.234343i
\(916\) 7.29960 + 36.6881i 0.241186 + 1.21221i
\(917\) −3.48519 2.46651i −0.115091 0.0814513i
\(918\) −13.7811 + 16.7932i −0.454844 + 0.554257i
\(919\) −25.4716 + 14.7060i −0.840230 + 0.485107i −0.857342 0.514746i \(-0.827886\pi\)
0.0171122 + 0.999854i \(0.494553\pi\)
\(920\) 53.5660 + 15.6773i 1.76602 + 0.516864i
\(921\) −14.4144 + 24.9665i −0.474972 + 0.822675i
\(922\) −26.5718 4.38635i −0.875095 0.144457i
\(923\) 5.44277 0.179151
\(924\) −25.6384 + 18.6037i −0.843442 + 0.612018i
\(925\) 1.28880 11.5171i 0.0423755 0.378680i
\(926\) 21.7623 + 3.59241i 0.715152 + 0.118054i
\(927\) 0.196565 + 0.113487i 0.00645606 + 0.00372741i
\(928\) −13.1014 + 12.2739i −0.430076 + 0.402909i
\(929\) 16.8894 9.75112i 0.554125 0.319924i −0.196659 0.980472i \(-0.563009\pi\)
0.750784 + 0.660548i \(0.229676\pi\)
\(930\) −30.3758 + 1.29113i −0.996063 + 0.0423379i
\(931\) 8.55994 45.8505i 0.280541 1.50269i
\(932\) 8.38884 1.66907i 0.274786 0.0546724i
\(933\) 8.52728 + 14.7697i 0.279171 + 0.483538i
\(934\) −11.3116 30.0521i −0.370128 0.983334i
\(935\) −22.8863 + 4.78431i −0.748461 + 0.156464i
\(936\) 0.857379 0.0281312i 0.0280243 0.000919497i
\(937\) −2.05387 −0.0670971 −0.0335485 0.999437i \(-0.510681\pi\)
−0.0335485 + 0.999437i \(0.510681\pi\)
\(938\) 4.53288 17.3263i 0.148004 0.565722i
\(939\) 60.2423 1.96593
\(940\) 1.95174 16.0352i 0.0636589 0.523011i
\(941\) 15.1289 26.2040i 0.493187 0.854226i −0.506782 0.862074i \(-0.669165\pi\)
0.999969 + 0.00784879i \(0.00249837\pi\)
\(942\) 12.9461 4.87292i 0.421805 0.158768i
\(943\) −71.4500 + 41.2517i −2.32673 + 1.34334i
\(944\) 0.0283290 + 0.0683732i 0.000922030 + 0.00222536i
\(945\) 27.8166 3.17914i 0.904874 0.103418i
\(946\) 24.1071 + 19.7832i 0.783789 + 0.643207i
\(947\) −34.8806 + 20.1383i −1.13347 + 0.654407i −0.944804 0.327635i \(-0.893748\pi\)
−0.188662 + 0.982042i \(0.560415\pi\)
\(948\) 18.6627 54.9876i 0.606137 1.78591i
\(949\) 7.30383 + 4.21687i 0.237092 + 0.136885i
\(950\) 45.3453 + 12.7961i 1.47120 + 0.415159i
\(951\) 0.765564 0.0248251
\(952\) 20.2766 + 13.3742i 0.657169 + 0.433459i
\(953\) 45.4230i 1.47140i −0.677309 0.735698i \(-0.736854\pi\)
0.677309 0.735698i \(-0.263146\pi\)
\(954\) 0.0164537 + 0.00271610i 0.000532708 + 8.79369e-5i
\(955\) −6.46208 30.9120i −0.209108 1.00029i
\(956\) 16.1380 47.5488i 0.521942 1.53784i
\(957\) 16.4531 9.49917i 0.531852 0.307065i
\(958\) 30.8906 37.6422i 0.998031 1.21617i
\(959\) 2.04265 22.0715i 0.0659605 0.712727i
\(960\) −8.28624 + 32.1934i −0.267437 + 1.03904i
\(961\) 2.11656 + 3.66599i 0.0682761 + 0.118258i
\(962\) −2.05226 + 0.772475i −0.0661676 + 0.0249056i
\(963\) 7.28342 + 4.20508i 0.234705 + 0.135507i
\(964\) 2.58581 + 2.94825i 0.0832832 + 0.0949569i
\(965\) 13.6660 12.2221i 0.439925 0.393442i
\(966\) 16.2317 + 59.1749i 0.522245 + 1.90392i
\(967\) −52.7807 −1.69731 −0.848656 0.528945i \(-0.822588\pi\)
−0.848656 + 0.528945i \(0.822588\pi\)
\(968\) 0.0577551 + 1.76025i 0.00185632 + 0.0565767i
\(969\) −34.8075 20.0961i −1.11818 0.645580i
\(970\) 17.8097 34.1161i 0.571837 1.09540i
\(971\) −26.0287 + 15.0277i −0.835300 + 0.482261i −0.855664 0.517532i \(-0.826851\pi\)
0.0203639 + 0.999793i \(0.493518\pi\)
\(972\) −1.82378 9.16639i −0.0584977 0.294012i
\(973\) −24.3430 + 11.2030i −0.780400 + 0.359151i
\(974\) −0.749711 + 0.913571i −0.0240223 + 0.0292727i
\(975\) −2.49002 5.69538i −0.0797446 0.182398i
\(976\) −0.936825 + 7.12132i −0.0299870 + 0.227948i
\(977\) 36.9900 + 21.3562i 1.18341 + 0.683245i 0.956802 0.290740i \(-0.0939015\pi\)
0.226613 + 0.973985i \(0.427235\pi\)
\(978\) −1.84141 + 11.1549i −0.0588817 + 0.356696i
\(979\) 4.89820i 0.156547i
\(980\) −6.76782 30.5646i −0.216190 0.976351i
\(981\) 2.05710i 0.0656781i
\(982\) 39.5020 + 6.52080i 1.26056 + 0.208087i
\(983\) 10.5472 + 6.08944i 0.336404 + 0.194223i 0.658681 0.752423i \(-0.271115\pi\)
−0.322277 + 0.946646i \(0.604448\pi\)
\(984\) −25.9522 41.7276i −0.827326 1.33023i
\(985\) 4.62972 14.0876i 0.147515 0.448868i
\(986\) −11.2615 9.24162i −0.358640 0.294313i
\(987\) 16.1328 7.42451i 0.513512 0.236325i
\(988\) −1.73969 8.74377i −0.0553470 0.278176i
\(989\) 52.3153 30.2043i 1.66353 0.960440i
\(990\) 2.13726 4.09410i 0.0679266 0.130119i
\(991\) −16.8998 9.75712i −0.536841 0.309945i 0.206957 0.978350i \(-0.433644\pi\)
−0.743798 + 0.668405i \(0.766977\pi\)
\(992\) −28.5014 + 6.64929i −0.904919 + 0.211115i
\(993\) 54.7348 1.73696
\(994\) −29.3574 + 8.05272i −0.931160 + 0.255417i
\(995\) −5.31085 5.93830i −0.168365 0.188257i
\(996\) 18.4505 16.1822i 0.584625 0.512753i
\(997\) 25.7749 + 14.8811i 0.816298 + 0.471290i 0.849138 0.528171i \(-0.177122\pi\)
−0.0328401 + 0.999461i \(0.510455\pi\)
\(998\) 2.19118 + 5.82139i 0.0693606 + 0.184273i
\(999\) 5.48446 + 9.49936i 0.173521 + 0.300547i
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.ba.b.59.39 yes 80
4.3 odd 2 1120.2.bq.b.1039.9 80
5.4 even 2 inner 280.2.ba.b.59.2 yes 80
7.5 odd 6 inner 280.2.ba.b.19.16 yes 80
8.3 odd 2 inner 280.2.ba.b.59.25 yes 80
8.5 even 2 1120.2.bq.b.1039.10 80
20.19 odd 2 1120.2.bq.b.1039.31 80
28.19 even 6 1120.2.bq.b.719.32 80
35.19 odd 6 inner 280.2.ba.b.19.25 yes 80
40.19 odd 2 inner 280.2.ba.b.59.16 yes 80
40.29 even 2 1120.2.bq.b.1039.32 80
56.5 odd 6 1120.2.bq.b.719.31 80
56.19 even 6 inner 280.2.ba.b.19.2 80
140.19 even 6 1120.2.bq.b.719.10 80
280.19 even 6 inner 280.2.ba.b.19.39 yes 80
280.229 odd 6 1120.2.bq.b.719.9 80
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
280.2.ba.b.19.2 80 56.19 even 6 inner
280.2.ba.b.19.16 yes 80 7.5 odd 6 inner
280.2.ba.b.19.25 yes 80 35.19 odd 6 inner
280.2.ba.b.19.39 yes 80 280.19 even 6 inner
280.2.ba.b.59.2 yes 80 5.4 even 2 inner
280.2.ba.b.59.16 yes 80 40.19 odd 2 inner
280.2.ba.b.59.25 yes 80 8.3 odd 2 inner
280.2.ba.b.59.39 yes 80 1.1 even 1 trivial
1120.2.bq.b.719.9 80 280.229 odd 6
1120.2.bq.b.719.10 80 140.19 even 6
1120.2.bq.b.719.31 80 56.5 odd 6
1120.2.bq.b.719.32 80 28.19 even 6
1120.2.bq.b.1039.9 80 4.3 odd 2
1120.2.bq.b.1039.10 80 8.5 even 2
1120.2.bq.b.1039.31 80 20.19 odd 2
1120.2.bq.b.1039.32 80 40.29 even 2