Properties

Label 280.2.bj.e.171.12
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 171.12
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.e.131.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.41221 - 0.0753205i) q^{2} +(0.784482 + 0.452921i) q^{3} +(1.98865 - 0.212736i) q^{4} +(0.500000 + 0.866025i) q^{5} +(1.14196 + 0.580530i) q^{6} +(-1.23347 + 2.34063i) q^{7} +(2.79237 - 0.450214i) q^{8} +(-1.08973 - 1.88746i) q^{9} +O(q^{10})\) \(q+(1.41221 - 0.0753205i) q^{2} +(0.784482 + 0.452921i) q^{3} +(1.98865 - 0.212736i) q^{4} +(0.500000 + 0.866025i) q^{5} +(1.14196 + 0.580530i) q^{6} +(-1.23347 + 2.34063i) q^{7} +(2.79237 - 0.450214i) q^{8} +(-1.08973 - 1.88746i) q^{9} +(0.771333 + 1.18535i) q^{10} +(0.620880 - 1.07539i) q^{11} +(1.65642 + 0.733815i) q^{12} -4.31348 q^{13} +(-1.56561 + 3.39836i) q^{14} +0.905842i q^{15} +(3.90949 - 0.846117i) q^{16} +(-1.49339 - 0.862209i) q^{17} +(-1.68108 - 2.58340i) q^{18} +(2.12801 - 1.22861i) q^{19} +(1.17856 + 1.61586i) q^{20} +(-2.02775 + 1.27752i) q^{21} +(0.795811 - 1.56544i) q^{22} +(0.393079 - 0.226944i) q^{23} +(2.39447 + 0.911537i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-6.09152 + 0.324893i) q^{26} -4.69176i q^{27} +(-1.95500 + 4.91711i) q^{28} -7.69695i q^{29} +(0.0682284 + 1.27924i) q^{30} +(-0.133444 + 0.231133i) q^{31} +(5.45727 - 1.48936i) q^{32} +(0.974138 - 0.562419i) q^{33} +(-2.17392 - 1.10513i) q^{34} +(-2.64378 + 0.102102i) q^{35} +(-2.56862 - 3.52168i) q^{36} +(-4.24881 + 2.45305i) q^{37} +(2.91265 - 1.89533i) q^{38} +(-3.38385 - 1.95367i) q^{39} +(1.78608 + 2.19315i) q^{40} +12.2703i q^{41} +(-2.76738 + 1.95685i) q^{42} +1.73856 q^{43} +(1.00594 - 2.27067i) q^{44} +(1.08973 - 1.88746i) q^{45} +(0.538016 - 0.350099i) q^{46} +(5.37669 + 9.31270i) q^{47} +(3.45015 + 1.10693i) q^{48} +(-3.95712 - 5.77419i) q^{49} +(-0.640874 + 1.26067i) q^{50} +(-0.781025 - 1.35278i) q^{51} +(-8.57802 + 0.917633i) q^{52} +(-7.50728 - 4.33433i) q^{53} +(-0.353386 - 6.62574i) q^{54} +1.24176 q^{55} +(-2.39051 + 7.09122i) q^{56} +2.22584 q^{57} +(-0.579738 - 10.8697i) q^{58} +(-4.83628 - 2.79223i) q^{59} +(0.192705 + 1.80141i) q^{60} +(-0.462932 - 0.801822i) q^{61} +(-0.171042 + 0.336458i) q^{62} +(5.76199 - 0.222526i) q^{63} +(7.59462 - 2.51432i) q^{64} +(-2.15674 - 3.73558i) q^{65} +(1.33332 - 0.867624i) q^{66} +(0.465968 - 0.807080i) q^{67} +(-3.15326 - 1.39694i) q^{68} +0.411152 q^{69} +(-3.72587 + 0.343320i) q^{70} +8.36052i q^{71} +(-3.89267 - 4.77987i) q^{72} +(-6.21972 - 3.59095i) q^{73} +(-5.81544 + 3.78424i) q^{74} +(-0.784482 + 0.452921i) q^{75} +(3.97050 - 2.89597i) q^{76} +(1.75127 + 2.77972i) q^{77} +(-4.92584 - 2.50411i) q^{78} +(9.56196 - 5.52060i) q^{79} +(2.68750 + 2.96266i) q^{80} +(-1.14418 + 1.98177i) q^{81} +(0.924204 + 17.3282i) q^{82} +8.49133i q^{83} +(-3.76073 + 2.97192i) q^{84} -1.72442i q^{85} +(2.45520 - 0.130949i) q^{86} +(3.48611 - 6.03812i) q^{87} +(1.24957 - 3.28242i) q^{88} +(-6.91420 + 3.99191i) q^{89} +(1.39675 - 2.74756i) q^{90} +(5.32054 - 10.0963i) q^{91} +(0.733419 - 0.534936i) q^{92} +(-0.209370 + 0.120880i) q^{93} +(8.29444 + 12.7465i) q^{94} +(2.12801 + 1.22861i) q^{95} +(4.95569 + 1.30334i) q^{96} +3.92866i q^{97} +(-6.02318 - 7.85629i) q^{98} -2.70635 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41221 0.0753205i 0.998581 0.0532596i
\(3\) 0.784482 + 0.452921i 0.452921 + 0.261494i 0.709063 0.705145i \(-0.249118\pi\)
−0.256142 + 0.966639i \(0.582451\pi\)
\(4\) 1.98865 0.212736i 0.994327 0.106368i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) 1.14196 + 0.580530i 0.466205 + 0.237001i
\(7\) −1.23347 + 2.34063i −0.466207 + 0.884676i
\(8\) 2.79237 0.450214i 0.987250 0.159175i
\(9\) −1.08973 1.88746i −0.363242 0.629153i
\(10\) 0.771333 + 1.18535i 0.243917 + 0.374839i
\(11\) 0.620880 1.07539i 0.187202 0.324244i −0.757114 0.653283i \(-0.773391\pi\)
0.944316 + 0.329039i \(0.106725\pi\)
\(12\) 1.65642 + 0.733815i 0.478166 + 0.211834i
\(13\) −4.31348 −1.19634 −0.598172 0.801368i \(-0.704106\pi\)
−0.598172 + 0.801368i \(0.704106\pi\)
\(14\) −1.56561 + 3.39836i −0.418428 + 0.908250i
\(15\) 0.905842i 0.233887i
\(16\) 3.90949 0.846117i 0.977372 0.211529i
\(17\) −1.49339 0.862209i −0.362200 0.209116i 0.307845 0.951436i \(-0.400392\pi\)
−0.670046 + 0.742320i \(0.733725\pi\)
\(18\) −1.68108 2.58340i −0.396235 0.608914i
\(19\) 2.12801 1.22861i 0.488198 0.281861i −0.235628 0.971843i \(-0.575715\pi\)
0.723827 + 0.689982i \(0.242382\pi\)
\(20\) 1.17856 + 1.61586i 0.263534 + 0.361317i
\(21\) −2.02775 + 1.27752i −0.442492 + 0.278778i
\(22\) 0.795811 1.56544i 0.169667 0.333754i
\(23\) 0.393079 0.226944i 0.0819627 0.0473212i −0.458459 0.888716i \(-0.651598\pi\)
0.540421 + 0.841395i \(0.318265\pi\)
\(24\) 2.39447 + 0.911537i 0.488770 + 0.186067i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) −6.09152 + 0.324893i −1.19465 + 0.0637168i
\(27\) 4.69176i 0.902930i
\(28\) −1.95500 + 4.91711i −0.369461 + 0.929246i
\(29\) 7.69695i 1.42929i −0.699488 0.714644i \(-0.746589\pi\)
0.699488 0.714644i \(-0.253411\pi\)
\(30\) 0.0682284 + 1.27924i 0.0124567 + 0.233555i
\(31\) −0.133444 + 0.231133i −0.0239673 + 0.0415126i −0.877760 0.479100i \(-0.840963\pi\)
0.853793 + 0.520613i \(0.174296\pi\)
\(32\) 5.45727 1.48936i 0.964719 0.263283i
\(33\) 0.974138 0.562419i 0.169576 0.0979045i
\(34\) −2.17392 1.10513i −0.372824 0.189529i
\(35\) −2.64378 + 0.102102i −0.446880 + 0.0172584i
\(36\) −2.56862 3.52168i −0.428103 0.586947i
\(37\) −4.24881 + 2.45305i −0.698501 + 0.403280i −0.806789 0.590840i \(-0.798796\pi\)
0.108288 + 0.994120i \(0.465463\pi\)
\(38\) 2.91265 1.89533i 0.472494 0.307463i
\(39\) −3.38385 1.95367i −0.541849 0.312837i
\(40\) 1.78608 + 2.19315i 0.282404 + 0.346768i
\(41\) 12.2703i 1.91630i 0.286271 + 0.958149i \(0.407584\pi\)
−0.286271 + 0.958149i \(0.592416\pi\)
\(42\) −2.76738 + 1.95685i −0.427017 + 0.301949i
\(43\) 1.73856 0.265128 0.132564 0.991174i \(-0.457679\pi\)
0.132564 + 0.991174i \(0.457679\pi\)
\(44\) 1.00594 2.27067i 0.151651 0.342317i
\(45\) 1.08973 1.88746i 0.162447 0.281366i
\(46\) 0.538016 0.350099i 0.0793261 0.0516193i
\(47\) 5.37669 + 9.31270i 0.784271 + 1.35840i 0.929434 + 0.368990i \(0.120296\pi\)
−0.145162 + 0.989408i \(0.546370\pi\)
\(48\) 3.45015 + 1.10693i 0.497986 + 0.159771i
\(49\) −3.95712 5.77419i −0.565302 0.824884i
\(50\) −0.640874 + 1.26067i −0.0906332 + 0.178285i
\(51\) −0.781025 1.35278i −0.109365 0.189426i
\(52\) −8.57802 + 0.917633i −1.18956 + 0.127253i
\(53\) −7.50728 4.33433i −1.03120 0.595366i −0.113875 0.993495i \(-0.536326\pi\)
−0.917329 + 0.398129i \(0.869660\pi\)
\(54\) −0.353386 6.62574i −0.0480897 0.901649i
\(55\) 1.24176 0.167439
\(56\) −2.39051 + 7.09122i −0.319445 + 0.947605i
\(57\) 2.22584 0.294820
\(58\) −0.579738 10.8697i −0.0761233 1.42726i
\(59\) −4.83628 2.79223i −0.629630 0.363517i 0.150978 0.988537i \(-0.451758\pi\)
−0.780609 + 0.625020i \(0.785091\pi\)
\(60\) 0.192705 + 1.80141i 0.0248781 + 0.232560i
\(61\) −0.462932 0.801822i −0.0592724 0.102663i 0.834867 0.550452i \(-0.185545\pi\)
−0.894139 + 0.447790i \(0.852211\pi\)
\(62\) −0.171042 + 0.336458i −0.0217224 + 0.0427302i
\(63\) 5.76199 0.222526i 0.725942 0.0280357i
\(64\) 7.59462 2.51432i 0.949327 0.314290i
\(65\) −2.15674 3.73558i −0.267511 0.463342i
\(66\) 1.33332 0.867624i 0.164121 0.106797i
\(67\) 0.465968 0.807080i 0.0569270 0.0986005i −0.836158 0.548489i \(-0.815203\pi\)
0.893085 + 0.449889i \(0.148536\pi\)
\(68\) −3.15326 1.39694i −0.382389 0.169404i
\(69\) 0.411152 0.0494968
\(70\) −3.72587 + 0.343320i −0.445327 + 0.0410346i
\(71\) 8.36052i 0.992211i 0.868262 + 0.496105i \(0.165237\pi\)
−0.868262 + 0.496105i \(0.834763\pi\)
\(72\) −3.89267 4.77987i −0.458756 0.563313i
\(73\) −6.21972 3.59095i −0.727963 0.420289i 0.0897137 0.995968i \(-0.471405\pi\)
−0.817676 + 0.575678i \(0.804738\pi\)
\(74\) −5.81544 + 3.78424i −0.676031 + 0.439909i
\(75\) −0.784482 + 0.452921i −0.0905842 + 0.0522988i
\(76\) 3.97050 2.89597i 0.455448 0.332191i
\(77\) 1.75127 + 2.77972i 0.199576 + 0.316778i
\(78\) −4.92584 2.50411i −0.557742 0.283534i
\(79\) 9.56196 5.52060i 1.07580 0.621116i 0.146043 0.989278i \(-0.453346\pi\)
0.929762 + 0.368162i \(0.120013\pi\)
\(80\) 2.68750 + 2.96266i 0.300472 + 0.331235i
\(81\) −1.14418 + 1.98177i −0.127131 + 0.220197i
\(82\) 0.924204 + 17.3282i 0.102061 + 1.91358i
\(83\) 8.49133i 0.932045i 0.884773 + 0.466022i \(0.154313\pi\)
−0.884773 + 0.466022i \(0.845687\pi\)
\(84\) −3.76073 + 2.97192i −0.410329 + 0.324263i
\(85\) 1.72442i 0.187039i
\(86\) 2.45520 0.130949i 0.264751 0.0141206i
\(87\) 3.48611 6.03812i 0.373750 0.647355i
\(88\) 1.24957 3.28242i 0.133204 0.349908i
\(89\) −6.91420 + 3.99191i −0.732903 + 0.423142i −0.819483 0.573103i \(-0.805740\pi\)
0.0865800 + 0.996245i \(0.472406\pi\)
\(90\) 1.39675 2.74756i 0.147231 0.289618i
\(91\) 5.32054 10.0963i 0.557744 1.05838i
\(92\) 0.733419 0.534936i 0.0764643 0.0557709i
\(93\) −0.209370 + 0.120880i −0.0217106 + 0.0125346i
\(94\) 8.29444 + 12.7465i 0.855506 + 1.31470i
\(95\) 2.12801 + 1.22861i 0.218329 + 0.126052i
\(96\) 4.95569 + 1.30334i 0.505788 + 0.133022i
\(97\) 3.92866i 0.398895i 0.979909 + 0.199447i \(0.0639147\pi\)
−0.979909 + 0.199447i \(0.936085\pi\)
\(98\) −6.02318 7.85629i −0.608433 0.793605i
\(99\) −2.70635 −0.271999
\(100\) −0.810092 + 1.82859i −0.0810092 + 0.182859i
\(101\) 4.82944 8.36483i 0.480547 0.832332i −0.519204 0.854651i \(-0.673771\pi\)
0.999751 + 0.0223184i \(0.00710474\pi\)
\(102\) −1.20486 1.85157i −0.119299 0.183333i
\(103\) 3.82962 + 6.63310i 0.377344 + 0.653578i 0.990675 0.136247i \(-0.0435042\pi\)
−0.613331 + 0.789826i \(0.710171\pi\)
\(104\) −12.0448 + 1.94199i −1.18109 + 0.190427i
\(105\) −2.12024 1.11733i −0.206914 0.109040i
\(106\) −10.9283 5.55552i −1.06145 0.539599i
\(107\) 8.44757 + 14.6316i 0.816657 + 1.41449i 0.908132 + 0.418684i \(0.137509\pi\)
−0.0914746 + 0.995807i \(0.529158\pi\)
\(108\) −0.998107 9.33029i −0.0960429 0.897808i
\(109\) −7.93420 4.58081i −0.759959 0.438762i 0.0693221 0.997594i \(-0.477916\pi\)
−0.829281 + 0.558832i \(0.811250\pi\)
\(110\) 1.75362 0.0935299i 0.167201 0.00891772i
\(111\) −4.44416 −0.421821
\(112\) −2.84178 + 10.1943i −0.268523 + 0.963273i
\(113\) 20.4047 1.91952 0.959758 0.280829i \(-0.0906094\pi\)
0.959758 + 0.280829i \(0.0906094\pi\)
\(114\) 3.14335 0.167652i 0.294402 0.0157020i
\(115\) 0.393079 + 0.226944i 0.0366548 + 0.0211627i
\(116\) −1.63742 15.3066i −0.152031 1.42118i
\(117\) 4.70051 + 8.14152i 0.434562 + 0.752684i
\(118\) −7.04014 3.57893i −0.648098 0.329468i
\(119\) 3.86016 2.43197i 0.353861 0.222938i
\(120\) 0.407822 + 2.52944i 0.0372289 + 0.230905i
\(121\) 4.72902 + 8.19090i 0.429911 + 0.744627i
\(122\) −0.714149 1.09747i −0.0646560 0.0993602i
\(123\) −5.55747 + 9.62582i −0.501100 + 0.867931i
\(124\) −0.216205 + 0.488031i −0.0194157 + 0.0438265i
\(125\) −1.00000 −0.0894427
\(126\) 8.12036 0.748248i 0.723419 0.0666593i
\(127\) 5.18278i 0.459897i −0.973203 0.229949i \(-0.926144\pi\)
0.973203 0.229949i \(-0.0738558\pi\)
\(128\) 10.5358 4.12277i 0.931241 0.364405i
\(129\) 1.36387 + 0.787430i 0.120082 + 0.0693293i
\(130\) −3.32713 5.11297i −0.291808 0.448437i
\(131\) 11.7551 6.78684i 1.02705 0.592969i 0.110913 0.993830i \(-0.464622\pi\)
0.916139 + 0.400861i \(0.131289\pi\)
\(132\) 1.81758 1.32569i 0.158200 0.115387i
\(133\) 0.250886 + 6.49633i 0.0217546 + 0.563303i
\(134\) 0.597253 1.17486i 0.0515948 0.101492i
\(135\) 4.06319 2.34588i 0.349703 0.201901i
\(136\) −4.55827 1.73526i −0.390869 0.148797i
\(137\) −6.46913 + 11.2049i −0.552695 + 0.957296i 0.445384 + 0.895340i \(0.353067\pi\)
−0.998079 + 0.0619561i \(0.980266\pi\)
\(138\) 0.580631 0.0309681i 0.0494266 0.00263618i
\(139\) 17.8027i 1.51001i −0.655720 0.755004i \(-0.727635\pi\)
0.655720 0.755004i \(-0.272365\pi\)
\(140\) −5.23584 + 0.765473i −0.442509 + 0.0646943i
\(141\) 9.74087i 0.820329i
\(142\) 0.629718 + 11.8068i 0.0528448 + 0.990803i
\(143\) −2.67815 + 4.63869i −0.223958 + 0.387907i
\(144\) −5.85728 6.45696i −0.488106 0.538080i
\(145\) 6.66576 3.84848i 0.553561 0.319599i
\(146\) −9.05399 4.60270i −0.749314 0.380922i
\(147\) −0.489037 6.32201i −0.0403351 0.521430i
\(148\) −7.92757 + 5.78215i −0.651642 + 0.475290i
\(149\) 12.7146 7.34080i 1.04162 0.601382i 0.121331 0.992612i \(-0.461284\pi\)
0.920293 + 0.391230i \(0.127950\pi\)
\(150\) −1.07374 + 0.698705i −0.0876702 + 0.0570491i
\(151\) −14.9018 8.60359i −1.21270 0.700150i −0.249350 0.968414i \(-0.580217\pi\)
−0.963346 + 0.268264i \(0.913550\pi\)
\(152\) 5.38904 4.38877i 0.437109 0.355977i
\(153\) 3.75829i 0.303839i
\(154\) 2.68252 + 3.79362i 0.216164 + 0.305699i
\(155\) −0.266889 −0.0214370
\(156\) −7.14492 3.16530i −0.572051 0.253427i
\(157\) 5.35139 9.26887i 0.427087 0.739737i −0.569526 0.821974i \(-0.692873\pi\)
0.996613 + 0.0822369i \(0.0262064\pi\)
\(158\) 13.0876 8.51644i 1.04120 0.677531i
\(159\) −3.92622 6.80041i −0.311369 0.539307i
\(160\) 4.01846 + 3.98146i 0.317687 + 0.314762i
\(161\) 0.0463429 + 1.19998i 0.00365233 + 0.0945719i
\(162\) −1.46655 + 2.88485i −0.115223 + 0.226655i
\(163\) 12.5462 + 21.7307i 0.982696 + 1.70208i 0.651760 + 0.758426i \(0.274031\pi\)
0.330936 + 0.943653i \(0.392636\pi\)
\(164\) 2.61033 + 24.4014i 0.203833 + 1.90543i
\(165\) 0.974138 + 0.562419i 0.0758365 + 0.0437842i
\(166\) 0.639571 + 11.9915i 0.0496403 + 0.930722i
\(167\) −6.43113 −0.497656 −0.248828 0.968548i \(-0.580045\pi\)
−0.248828 + 0.968548i \(0.580045\pi\)
\(168\) −5.08708 + 4.48023i −0.392476 + 0.345657i
\(169\) 5.60611 0.431239
\(170\) −0.129884 2.43524i −0.00996165 0.186774i
\(171\) −4.63789 2.67768i −0.354668 0.204768i
\(172\) 3.45739 0.369854i 0.263624 0.0282011i
\(173\) 1.08576 + 1.88059i 0.0825486 + 0.142978i 0.904344 0.426804i \(-0.140361\pi\)
−0.821795 + 0.569783i \(0.807027\pi\)
\(174\) 4.46831 8.78965i 0.338742 0.666342i
\(175\) −1.41031 2.23853i −0.106610 0.169217i
\(176\) 1.51741 4.72958i 0.114379 0.356505i
\(177\) −2.52932 4.38091i −0.190115 0.329289i
\(178\) −9.46360 + 6.15819i −0.709327 + 0.461576i
\(179\) −11.3858 + 19.7209i −0.851018 + 1.47401i 0.0292733 + 0.999571i \(0.490681\pi\)
−0.880291 + 0.474434i \(0.842653\pi\)
\(180\) 1.76556 3.98533i 0.131597 0.297049i
\(181\) 20.2848 1.50776 0.753879 0.657013i \(-0.228180\pi\)
0.753879 + 0.657013i \(0.228180\pi\)
\(182\) 6.75324 14.6588i 0.500583 1.08658i
\(183\) 0.838686i 0.0619975i
\(184\) 0.995448 0.810682i 0.0733854 0.0597642i
\(185\) −4.24881 2.45305i −0.312379 0.180352i
\(186\) −0.286568 + 0.186477i −0.0210122 + 0.0136731i
\(187\) −1.85443 + 1.07066i −0.135609 + 0.0782941i
\(188\) 12.6735 + 17.3759i 0.924312 + 1.26727i
\(189\) 10.9817 + 5.78714i 0.798801 + 0.420952i
\(190\) 3.09772 + 1.57476i 0.224733 + 0.114245i
\(191\) 1.45879 0.842233i 0.105554 0.0609419i −0.446293 0.894887i \(-0.647256\pi\)
0.551848 + 0.833945i \(0.313923\pi\)
\(192\) 7.09663 + 1.46732i 0.512155 + 0.105895i
\(193\) 12.3298 21.3558i 0.887517 1.53722i 0.0447160 0.999000i \(-0.485762\pi\)
0.842801 0.538225i \(-0.180905\pi\)
\(194\) 0.295908 + 5.54808i 0.0212450 + 0.398329i
\(195\) 3.90733i 0.279810i
\(196\) −9.09771 10.6410i −0.649837 0.760074i
\(197\) 1.66437i 0.118582i 0.998241 + 0.0592908i \(0.0188839\pi\)
−0.998241 + 0.0592908i \(0.981116\pi\)
\(198\) −3.82193 + 0.203844i −0.271613 + 0.0144865i
\(199\) 6.39700 11.0799i 0.453471 0.785435i −0.545128 0.838353i \(-0.683519\pi\)
0.998599 + 0.0529181i \(0.0168522\pi\)
\(200\) −1.00629 + 2.64337i −0.0711552 + 0.186914i
\(201\) 0.731087 0.422093i 0.0515669 0.0297721i
\(202\) 6.19012 12.1766i 0.435535 0.856745i
\(203\) 18.0157 + 9.49394i 1.26446 + 0.666344i
\(204\) −1.84097 2.52405i −0.128894 0.176719i
\(205\) −10.6264 + 6.13515i −0.742179 + 0.428497i
\(206\) 5.90782 + 9.07885i 0.411617 + 0.632554i
\(207\) −0.856697 0.494614i −0.0595446 0.0343781i
\(208\) −16.8635 + 3.64971i −1.16927 + 0.253062i
\(209\) 3.05126i 0.211060i
\(210\) −3.07838 1.41820i −0.212428 0.0978650i
\(211\) −16.8109 −1.15731 −0.578655 0.815573i \(-0.696422\pi\)
−0.578655 + 0.815573i \(0.696422\pi\)
\(212\) −15.8514 7.02241i −1.08868 0.482301i
\(213\) −3.78665 + 6.55868i −0.259457 + 0.449393i
\(214\) 13.0318 + 20.0266i 0.890833 + 1.36899i
\(215\) 0.869279 + 1.50564i 0.0592844 + 0.102684i
\(216\) −2.11230 13.1011i −0.143723 0.891418i
\(217\) −0.376397 0.597439i −0.0255515 0.0405568i
\(218\) −11.5498 5.87145i −0.782249 0.397665i
\(219\) −3.25284 5.63408i −0.219806 0.380716i
\(220\) 2.46943 0.264167i 0.166489 0.0178101i
\(221\) 6.44171 + 3.71912i 0.433316 + 0.250175i
\(222\) −6.27607 + 0.334736i −0.421222 + 0.0224660i
\(223\) −23.8692 −1.59840 −0.799200 0.601065i \(-0.794743\pi\)
−0.799200 + 0.601065i \(0.794743\pi\)
\(224\) −3.24533 + 14.6105i −0.216838 + 0.976208i
\(225\) 2.17945 0.145297
\(226\) 28.8157 1.53689i 1.91679 0.102233i
\(227\) −6.71810 3.87870i −0.445896 0.257438i 0.260199 0.965555i \(-0.416212\pi\)
−0.706095 + 0.708117i \(0.749545\pi\)
\(228\) 4.42643 0.473517i 0.293148 0.0313595i
\(229\) 2.45190 + 4.24681i 0.162026 + 0.280637i 0.935595 0.353075i \(-0.114864\pi\)
−0.773569 + 0.633712i \(0.781530\pi\)
\(230\) 0.572203 + 0.290885i 0.0377299 + 0.0191804i
\(231\) 0.114848 + 2.97382i 0.00755645 + 0.195663i
\(232\) −3.46527 21.4927i −0.227506 1.41107i
\(233\) −8.58535 14.8703i −0.562445 0.974183i −0.997282 0.0736741i \(-0.976528\pi\)
0.434838 0.900509i \(-0.356806\pi\)
\(234\) 7.25131 + 11.1435i 0.474033 + 0.728471i
\(235\) −5.37669 + 9.31270i −0.350737 + 0.607494i
\(236\) −10.2117 4.52393i −0.664725 0.294482i
\(237\) 10.0016 0.649673
\(238\) 5.26817 3.72519i 0.341485 0.241468i
\(239\) 22.5691i 1.45987i 0.683516 + 0.729935i \(0.260450\pi\)
−0.683516 + 0.729935i \(0.739550\pi\)
\(240\) 0.766448 + 3.54138i 0.0494740 + 0.228595i
\(241\) −2.49414 1.43999i −0.160662 0.0927580i 0.417514 0.908671i \(-0.362902\pi\)
−0.578175 + 0.815913i \(0.696235\pi\)
\(242\) 7.29529 + 11.2110i 0.468959 + 0.720673i
\(243\) −13.9847 + 8.07409i −0.897121 + 0.517953i
\(244\) −1.09119 1.49606i −0.0698561 0.0957756i
\(245\) 3.02203 6.31406i 0.193071 0.403390i
\(246\) −7.12328 + 14.0122i −0.454163 + 0.893388i
\(247\) −9.17911 + 5.29956i −0.584053 + 0.337203i
\(248\) −0.268567 + 0.705485i −0.0170540 + 0.0447983i
\(249\) −3.84590 + 6.66130i −0.243724 + 0.422143i
\(250\) −1.41221 + 0.0753205i −0.0893158 + 0.00476368i
\(251\) 12.3739i 0.781034i −0.920596 0.390517i \(-0.872296\pi\)
0.920596 0.390517i \(-0.127704\pi\)
\(252\) 11.4113 1.66831i 0.718842 0.105094i
\(253\) 0.563621i 0.0354345i
\(254\) −0.390369 7.31915i −0.0244939 0.459245i
\(255\) 0.781025 1.35278i 0.0489097 0.0847141i
\(256\) 14.5682 6.61576i 0.910511 0.413485i
\(257\) 4.89750 2.82758i 0.305498 0.176379i −0.339412 0.940638i \(-0.610228\pi\)
0.644910 + 0.764258i \(0.276895\pi\)
\(258\) 1.98537 + 1.00929i 0.123604 + 0.0628354i
\(259\) −0.500923 12.9707i −0.0311259 0.805959i
\(260\) −5.08370 6.96996i −0.315278 0.432259i
\(261\) −14.5277 + 8.38756i −0.899241 + 0.519177i
\(262\) 16.0895 10.4698i 0.994013 0.646828i
\(263\) 8.62649 + 4.98051i 0.531932 + 0.307111i 0.741803 0.670618i \(-0.233971\pi\)
−0.209871 + 0.977729i \(0.567304\pi\)
\(264\) 2.46694 2.00905i 0.151830 0.123648i
\(265\) 8.66866i 0.532511i
\(266\) 0.843609 + 9.15526i 0.0517250 + 0.561345i
\(267\) −7.23208 −0.442596
\(268\) 0.754953 1.70413i 0.0461161 0.104096i
\(269\) −9.77791 + 16.9358i −0.596170 + 1.03260i 0.397211 + 0.917727i \(0.369978\pi\)
−0.993381 + 0.114869i \(0.963355\pi\)
\(270\) 5.56136 3.61891i 0.338454 0.220240i
\(271\) −16.1219 27.9240i −0.979336 1.69626i −0.664814 0.747009i \(-0.731489\pi\)
−0.314522 0.949250i \(-0.601844\pi\)
\(272\) −6.56792 2.10721i −0.398239 0.127769i
\(273\) 8.74668 5.51056i 0.529373 0.333514i
\(274\) −8.29179 + 16.3108i −0.500925 + 0.985373i
\(275\) 0.620880 + 1.07539i 0.0374404 + 0.0648488i
\(276\) 0.817638 0.0874668i 0.0492160 0.00526488i
\(277\) −15.3351 8.85371i −0.921396 0.531968i −0.0373155 0.999304i \(-0.511881\pi\)
−0.884080 + 0.467336i \(0.845214\pi\)
\(278\) −1.34091 25.1411i −0.0804224 1.50786i
\(279\) 0.581671 0.0348237
\(280\) −7.33643 + 1.47537i −0.438436 + 0.0881703i
\(281\) −4.02367 −0.240032 −0.120016 0.992772i \(-0.538295\pi\)
−0.120016 + 0.992772i \(0.538295\pi\)
\(282\) 0.733686 + 13.7561i 0.0436904 + 0.819165i
\(283\) −16.4300 9.48585i −0.976661 0.563875i −0.0754004 0.997153i \(-0.524023\pi\)
−0.901260 + 0.433278i \(0.857357\pi\)
\(284\) 1.77858 + 16.6262i 0.105540 + 0.986582i
\(285\) 1.11292 + 1.92764i 0.0659238 + 0.114183i
\(286\) −3.43271 + 6.75251i −0.202981 + 0.399284i
\(287\) −28.7202 15.1350i −1.69530 0.893391i
\(288\) −8.75803 8.67739i −0.516072 0.511320i
\(289\) −7.01319 12.1472i −0.412541 0.714541i
\(290\) 9.12356 5.93691i 0.535754 0.348627i
\(291\) −1.77937 + 3.08196i −0.104309 + 0.180668i
\(292\) −13.1328 5.81801i −0.768538 0.340473i
\(293\) −10.3847 −0.606678 −0.303339 0.952883i \(-0.598101\pi\)
−0.303339 + 0.952883i \(0.598101\pi\)
\(294\) −1.16680 8.89114i −0.0680490 0.518542i
\(295\) 5.58446i 0.325140i
\(296\) −10.7598 + 8.76270i −0.625403 + 0.509322i
\(297\) −5.04550 2.91302i −0.292770 0.169031i
\(298\) 17.4028 11.3244i 1.00812 0.656005i
\(299\) −1.69554 + 0.978920i −0.0980556 + 0.0566124i
\(300\) −1.46371 + 1.06759i −0.0845074 + 0.0616374i
\(301\) −2.14446 + 4.06933i −0.123604 + 0.234552i
\(302\) −21.6925 11.0276i −1.24826 0.634569i
\(303\) 7.57722 4.37471i 0.435300 0.251320i
\(304\) 7.27987 6.60376i 0.417529 0.378752i
\(305\) 0.462932 0.801822i 0.0265074 0.0459122i
\(306\) 0.283076 + 5.30747i 0.0161824 + 0.303408i
\(307\) 21.4468i 1.22403i −0.790846 0.612015i \(-0.790359\pi\)
0.790846 0.612015i \(-0.209641\pi\)
\(308\) 4.07401 + 5.15533i 0.232138 + 0.293752i
\(309\) 6.93806i 0.394692i
\(310\) −0.376902 + 0.0201022i −0.0214066 + 0.00114173i
\(311\) −3.97738 + 6.88902i −0.225536 + 0.390641i −0.956480 0.291797i \(-0.905747\pi\)
0.730944 + 0.682438i \(0.239080\pi\)
\(312\) −10.3285 3.93189i −0.584737 0.222600i
\(313\) −9.04094 + 5.21979i −0.511024 + 0.295040i −0.733255 0.679954i \(-0.762000\pi\)
0.222230 + 0.974994i \(0.428666\pi\)
\(314\) 6.85913 13.4926i 0.387083 0.761433i
\(315\) 3.07371 + 4.87877i 0.173184 + 0.274887i
\(316\) 17.8410 13.0127i 1.00363 0.732024i
\(317\) 5.86432 3.38576i 0.329373 0.190163i −0.326190 0.945304i \(-0.605765\pi\)
0.655563 + 0.755141i \(0.272432\pi\)
\(318\) −6.05684 9.30785i −0.339651 0.521959i
\(319\) −8.27726 4.77888i −0.463438 0.267566i
\(320\) 5.97477 + 5.31997i 0.334000 + 0.297395i
\(321\) 15.3043i 0.854204i
\(322\) 0.155829 + 1.69113i 0.00868401 + 0.0942431i
\(323\) −4.23726 −0.235767
\(324\) −1.85378 + 4.18447i −0.102988 + 0.232471i
\(325\) 2.15674 3.73558i 0.119634 0.207213i
\(326\) 19.3546 + 29.7432i 1.07195 + 1.64733i
\(327\) −4.14949 7.18713i −0.229468 0.397449i
\(328\) 5.52425 + 34.2631i 0.305026 + 1.89187i
\(329\) −28.4296 + 1.09794i −1.56737 + 0.0605315i
\(330\) 1.41805 + 0.720879i 0.0780608 + 0.0396831i
\(331\) 5.59806 + 9.69613i 0.307697 + 0.532947i 0.977858 0.209268i \(-0.0671083\pi\)
−0.670161 + 0.742216i \(0.733775\pi\)
\(332\) 1.80641 + 16.8863i 0.0991398 + 0.926757i
\(333\) 9.26008 + 5.34631i 0.507449 + 0.292976i
\(334\) −9.08209 + 0.484396i −0.496950 + 0.0265050i
\(335\) 0.931935 0.0509171
\(336\) −6.84655 + 6.71017i −0.373510 + 0.366070i
\(337\) 24.4910 1.33411 0.667055 0.745008i \(-0.267554\pi\)
0.667055 + 0.745008i \(0.267554\pi\)
\(338\) 7.91698 0.422254i 0.430627 0.0229676i
\(339\) 16.0071 + 9.24173i 0.869389 + 0.501942i
\(340\) −0.366846 3.42927i −0.0198950 0.185978i
\(341\) 0.165706 + 0.287011i 0.00897347 + 0.0155425i
\(342\) −6.75134 3.43212i −0.365070 0.185588i
\(343\) 18.3962 2.13988i 0.993303 0.115543i
\(344\) 4.85469 0.782723i 0.261748 0.0422016i
\(345\) 0.205576 + 0.356068i 0.0110678 + 0.0191700i
\(346\) 1.67496 + 2.57400i 0.0900464 + 0.138379i
\(347\) 8.21166 14.2230i 0.440825 0.763531i −0.556926 0.830562i \(-0.688019\pi\)
0.997751 + 0.0670312i \(0.0213527\pi\)
\(348\) 5.64814 12.7494i 0.302772 0.683437i
\(349\) 0.191603 0.0102563 0.00512813 0.999987i \(-0.498368\pi\)
0.00512813 + 0.999987i \(0.498368\pi\)
\(350\) −2.16026 3.05504i −0.115471 0.163299i
\(351\) 20.2378i 1.08022i
\(352\) 1.78666 6.79343i 0.0952295 0.362091i
\(353\) −19.3579 11.1763i −1.03032 0.594854i −0.113241 0.993568i \(-0.536123\pi\)
−0.917075 + 0.398714i \(0.869457\pi\)
\(354\) −3.90189 5.99624i −0.207383 0.318696i
\(355\) −7.24042 + 4.18026i −0.384282 + 0.221865i
\(356\) −12.9007 + 9.40943i −0.683737 + 0.498699i
\(357\) 4.12972 0.159488i 0.218568 0.00844102i
\(358\) −14.5938 + 28.7075i −0.771305 + 1.51724i
\(359\) −20.4748 + 11.8211i −1.08062 + 0.623896i −0.931064 0.364857i \(-0.881118\pi\)
−0.149556 + 0.988753i \(0.547784\pi\)
\(360\) 2.19315 5.76109i 0.115589 0.303636i
\(361\) −6.48106 + 11.2255i −0.341108 + 0.590817i
\(362\) 28.6463 1.52786i 1.50562 0.0803026i
\(363\) 8.56748i 0.449676i
\(364\) 8.43286 21.2099i 0.442002 1.11170i
\(365\) 7.18191i 0.375918i
\(366\) −0.0631702 1.18440i −0.00330196 0.0619095i
\(367\) 9.00124 15.5906i 0.469861 0.813823i −0.529545 0.848282i \(-0.677637\pi\)
0.999406 + 0.0344586i \(0.0109707\pi\)
\(368\) 1.34472 1.21983i 0.0700982 0.0635879i
\(369\) 23.1597 13.3712i 1.20564 0.696079i
\(370\) −6.18497 3.14420i −0.321541 0.163459i
\(371\) 19.4051 12.2255i 1.00746 0.634717i
\(372\) −0.390648 + 0.284928i −0.0202542 + 0.0147728i
\(373\) −21.5700 + 12.4535i −1.11685 + 0.644815i −0.940596 0.339529i \(-0.889732\pi\)
−0.176257 + 0.984344i \(0.556399\pi\)
\(374\) −2.53820 + 1.65166i −0.131247 + 0.0854055i
\(375\) −0.784482 0.452921i −0.0405105 0.0233887i
\(376\) 19.2064 + 23.5838i 0.990494 + 1.21624i
\(377\) 33.2006i 1.70992i
\(378\) 15.9443 + 7.34549i 0.820087 + 0.377811i
\(379\) 3.91557 0.201130 0.100565 0.994931i \(-0.467935\pi\)
0.100565 + 0.994931i \(0.467935\pi\)
\(380\) 4.49324 + 1.99057i 0.230498 + 0.102114i
\(381\) 2.34739 4.06580i 0.120260 0.208297i
\(382\) 1.99668 1.29928i 0.102159 0.0664772i
\(383\) 8.27193 + 14.3274i 0.422676 + 0.732096i 0.996200 0.0870922i \(-0.0277575\pi\)
−0.573524 + 0.819189i \(0.694424\pi\)
\(384\) 10.1324 + 1.53764i 0.517068 + 0.0784672i
\(385\) −1.53167 + 2.90650i −0.0780611 + 0.148129i
\(386\) 15.8037 31.0875i 0.804386 1.58231i
\(387\) −1.89455 3.28146i −0.0963055 0.166806i
\(388\) 0.835768 + 7.81274i 0.0424297 + 0.396632i
\(389\) 17.8537 + 10.3078i 0.905219 + 0.522628i 0.878890 0.477025i \(-0.158285\pi\)
0.0263290 + 0.999653i \(0.491618\pi\)
\(390\) −0.294302 5.51796i −0.0149026 0.279413i
\(391\) −0.782695 −0.0395826
\(392\) −13.6493 14.3421i −0.689395 0.724385i
\(393\) 12.2956 0.620231
\(394\) 0.125361 + 2.35044i 0.00631561 + 0.118413i
\(395\) 9.56196 + 5.52060i 0.481114 + 0.277772i
\(396\) −5.38200 + 0.575739i −0.270456 + 0.0289320i
\(397\) −9.45979 16.3848i −0.474773 0.822332i 0.524809 0.851220i \(-0.324137\pi\)
−0.999583 + 0.0288882i \(0.990803\pi\)
\(398\) 8.19933 16.1290i 0.410995 0.808472i
\(399\) −2.74551 + 5.20988i −0.137447 + 0.260820i
\(400\) −1.22198 + 3.80877i −0.0610992 + 0.190439i
\(401\) −1.73670 3.00804i −0.0867264 0.150215i 0.819399 0.573223i \(-0.194307\pi\)
−0.906126 + 0.423009i \(0.860974\pi\)
\(402\) 1.00065 0.651148i 0.0499080 0.0324763i
\(403\) 0.575610 0.996985i 0.0286732 0.0496634i
\(404\) 7.82458 17.6622i 0.389287 0.878725i
\(405\) −2.28836 −0.113709
\(406\) 26.1570 + 12.0504i 1.29815 + 0.598054i
\(407\) 6.09221i 0.301979i
\(408\) −2.78995 3.42582i −0.138123 0.169603i
\(409\) 20.4501 + 11.8069i 1.01119 + 0.583812i 0.911541 0.411210i \(-0.134894\pi\)
0.0996521 + 0.995022i \(0.468227\pi\)
\(410\) −14.5445 + 9.46448i −0.718304 + 0.467417i
\(411\) −10.1498 + 5.86001i −0.500654 + 0.289053i
\(412\) 9.02689 + 12.3762i 0.444723 + 0.609733i
\(413\) 12.5010 7.87584i 0.615133 0.387545i
\(414\) −1.24709 0.633971i −0.0612910 0.0311580i
\(415\) −7.35371 + 4.24567i −0.360979 + 0.208412i
\(416\) −23.5398 + 6.42431i −1.15414 + 0.314977i
\(417\) 8.06323 13.9659i 0.394858 0.683914i
\(418\) −0.229823 4.30901i −0.0112410 0.210761i
\(419\) 7.29588i 0.356427i −0.983992 0.178214i \(-0.942968\pi\)
0.983992 0.178214i \(-0.0570318\pi\)
\(420\) −4.45412 1.77092i −0.217339 0.0864122i
\(421\) 6.71577i 0.327307i −0.986518 0.163653i \(-0.947672\pi\)
0.986518 0.163653i \(-0.0523278\pi\)
\(422\) −23.7404 + 1.26620i −1.15567 + 0.0616378i
\(423\) 11.7182 20.2966i 0.569760 0.986853i
\(424\) −22.9144 8.72315i −1.11282 0.423634i
\(425\) 1.49339 0.862209i 0.0724401 0.0418233i
\(426\) −4.85353 + 9.54742i −0.235154 + 0.462574i
\(427\) 2.44778 0.0945325i 0.118456 0.00457475i
\(428\) 19.9120 + 27.3001i 0.962481 + 1.31960i
\(429\) −4.20192 + 2.42598i −0.202871 + 0.117127i
\(430\) 1.34101 + 2.06079i 0.0646691 + 0.0993803i
\(431\) 29.3361 + 16.9372i 1.41307 + 0.815837i 0.995677 0.0928881i \(-0.0296099\pi\)
0.417395 + 0.908725i \(0.362943\pi\)
\(432\) −3.96978 18.3424i −0.190996 0.882498i
\(433\) 14.8665i 0.714440i −0.934020 0.357220i \(-0.883725\pi\)
0.934020 0.357220i \(-0.116275\pi\)
\(434\) −0.576549 0.815356i −0.0276753 0.0391384i
\(435\) 6.97222 0.334292
\(436\) −16.7529 7.42176i −0.802318 0.355438i
\(437\) 0.557650 0.965879i 0.0266760 0.0462042i
\(438\) −5.01804 7.71148i −0.239771 0.368469i
\(439\) 6.22389 + 10.7801i 0.297050 + 0.514506i 0.975460 0.220178i \(-0.0706639\pi\)
−0.678410 + 0.734684i \(0.737331\pi\)
\(440\) 3.46745 0.559057i 0.165304 0.0266520i
\(441\) −6.58637 + 13.7612i −0.313637 + 0.655294i
\(442\) 9.37715 + 4.76698i 0.446025 + 0.226742i
\(443\) −5.16402 8.94434i −0.245350 0.424959i 0.716880 0.697197i \(-0.245570\pi\)
−0.962230 + 0.272238i \(0.912236\pi\)
\(444\) −8.83789 + 0.945433i −0.419428 + 0.0448683i
\(445\) −6.91420 3.99191i −0.327764 0.189235i
\(446\) −33.7083 + 1.79784i −1.59613 + 0.0851302i
\(447\) 13.2992 0.629031
\(448\) −3.48261 + 20.8775i −0.164538 + 0.986371i
\(449\) 18.6590 0.880574 0.440287 0.897857i \(-0.354877\pi\)
0.440287 + 0.897857i \(0.354877\pi\)
\(450\) 3.07783 0.164157i 0.145090 0.00773844i
\(451\) 13.1954 + 7.61837i 0.621348 + 0.358735i
\(452\) 40.5779 4.34082i 1.90863 0.204175i
\(453\) −7.79349 13.4987i −0.366170 0.634225i
\(454\) −9.77949 4.97151i −0.458974 0.233324i
\(455\) 11.4039 0.440415i 0.534623 0.0206470i
\(456\) 6.21537 1.00211i 0.291061 0.0469279i
\(457\) 5.65988 + 9.80320i 0.264758 + 0.458574i 0.967500 0.252870i \(-0.0813746\pi\)
−0.702742 + 0.711445i \(0.748041\pi\)
\(458\) 3.78246 + 5.81270i 0.176743 + 0.271610i
\(459\) −4.04528 + 7.00663i −0.188818 + 0.327042i
\(460\) 0.829978 + 0.367692i 0.0386979 + 0.0171437i
\(461\) 25.4553 1.18557 0.592785 0.805360i \(-0.298028\pi\)
0.592785 + 0.805360i \(0.298028\pi\)
\(462\) 0.386179 + 4.19100i 0.0179667 + 0.194983i
\(463\) 6.76939i 0.314600i −0.987551 0.157300i \(-0.949721\pi\)
0.987551 0.157300i \(-0.0502790\pi\)
\(464\) −6.51252 30.0911i −0.302336 1.39695i
\(465\) −0.209370 0.120880i −0.00970928 0.00560565i
\(466\) −13.2443 20.3532i −0.613531 0.942845i
\(467\) 18.0857 10.4418i 0.836908 0.483189i −0.0193043 0.999814i \(-0.506145\pi\)
0.856212 + 0.516625i \(0.172812\pi\)
\(468\) 11.0797 + 15.1907i 0.512158 + 0.702190i
\(469\) 1.31432 + 2.08617i 0.0606897 + 0.0963302i
\(470\) −6.89156 + 13.5564i −0.317884 + 0.625312i
\(471\) 8.39613 4.84751i 0.386873 0.223361i
\(472\) −14.7618 5.61957i −0.679466 0.258662i
\(473\) 1.07944 1.86964i 0.0496325 0.0859660i
\(474\) 14.1243 0.753324i 0.648751 0.0346013i
\(475\) 2.45721i 0.112745i
\(476\) 7.15916 5.65754i 0.328140 0.259313i
\(477\) 18.8929i 0.865047i
\(478\) 1.69991 + 31.8722i 0.0777521 + 1.45780i
\(479\) −1.45807 + 2.52546i −0.0666211 + 0.115391i −0.897412 0.441194i \(-0.854555\pi\)
0.830791 + 0.556585i \(0.187889\pi\)
\(480\) 1.34912 + 4.94343i 0.0615787 + 0.225635i
\(481\) 18.3272 10.5812i 0.835647 0.482461i
\(482\) −3.63070 1.84571i −0.165374 0.0840696i
\(483\) −0.507142 + 0.962355i −0.0230758 + 0.0437887i
\(484\) 11.1469 + 15.2828i 0.506676 + 0.694674i
\(485\) −3.40232 + 1.96433i −0.154491 + 0.0891956i
\(486\) −19.1412 + 12.4556i −0.868262 + 0.564998i
\(487\) 10.0582 + 5.80712i 0.455782 + 0.263146i 0.710269 0.703930i \(-0.248573\pi\)
−0.254487 + 0.967076i \(0.581907\pi\)
\(488\) −1.65367 2.03056i −0.0748580 0.0919192i
\(489\) 22.7298i 1.02788i
\(490\) 3.79216 9.14437i 0.171312 0.413101i
\(491\) −2.26191 −0.102079 −0.0510393 0.998697i \(-0.516253\pi\)
−0.0510393 + 0.998697i \(0.516253\pi\)
\(492\) −9.00413 + 20.3247i −0.405937 + 0.916308i
\(493\) −6.63639 + 11.4946i −0.298888 + 0.517689i
\(494\) −12.5636 + 8.17545i −0.565265 + 0.367831i
\(495\) −1.35318 2.34377i −0.0608207 0.105345i
\(496\) −0.326134 + 1.01652i −0.0146439 + 0.0456431i
\(497\) −19.5689 10.3124i −0.877785 0.462575i
\(498\) −4.92948 + 9.69680i −0.220895 + 0.434524i
\(499\) 11.8706 + 20.5606i 0.531403 + 0.920417i 0.999328 + 0.0366488i \(0.0116683\pi\)
−0.467925 + 0.883768i \(0.654998\pi\)
\(500\) −1.98865 + 0.212736i −0.0889353 + 0.00951385i
\(501\) −5.04511 2.91280i −0.225399 0.130134i
\(502\) −0.932008 17.4745i −0.0415976 0.779925i
\(503\) 11.0460 0.492515 0.246258 0.969204i \(-0.420799\pi\)
0.246258 + 0.969204i \(0.420799\pi\)
\(504\) 15.9894 3.21550i 0.712224 0.143230i
\(505\) 9.65888 0.429814
\(506\) −0.0424522 0.795949i −0.00188723 0.0353842i
\(507\) 4.39789 + 2.53912i 0.195317 + 0.112766i
\(508\) −1.10256 10.3068i −0.0489184 0.457288i
\(509\) −20.3574 35.2600i −0.902325 1.56287i −0.824469 0.565908i \(-0.808526\pi\)
−0.0778561 0.996965i \(-0.524807\pi\)
\(510\) 1.00108 1.96923i 0.0443285 0.0871988i
\(511\) 16.0769 10.1287i 0.711201 0.448069i
\(512\) 20.0750 10.4401i 0.887196 0.461392i
\(513\) −5.76433 9.98410i −0.254501 0.440809i
\(514\) 6.70331 4.36200i 0.295670 0.192400i
\(515\) −3.82962 + 6.63310i −0.168753 + 0.292289i
\(516\) 2.87978 + 1.27578i 0.126775 + 0.0561631i
\(517\) 13.3531 0.587269
\(518\) −1.68436 18.2795i −0.0740067 0.803157i
\(519\) 1.96705i 0.0863438i
\(520\) −7.70422 9.46012i −0.337852 0.414854i
\(521\) −27.7740 16.0353i −1.21680 0.702519i −0.252567 0.967579i \(-0.581275\pi\)
−0.964232 + 0.265060i \(0.914608\pi\)
\(522\) −19.8843 + 12.9392i −0.870314 + 0.566334i
\(523\) −18.8270 + 10.8698i −0.823246 + 0.475301i −0.851534 0.524299i \(-0.824328\pi\)
0.0282888 + 0.999600i \(0.490994\pi\)
\(524\) 21.9331 15.9974i 0.958153 0.698850i
\(525\) −0.0924882 2.39485i −0.00403652 0.104520i
\(526\) 12.5575 + 6.38375i 0.547534 + 0.278345i
\(527\) 0.398569 0.230114i 0.0173619 0.0100239i
\(528\) 3.33251 3.02300i 0.145029 0.131559i
\(529\) −11.3970 + 19.7402i −0.495521 + 0.858268i
\(530\) −0.652927 12.2419i −0.0283613 0.531756i
\(531\) 12.1711i 0.528179i
\(532\) 1.88093 + 12.8656i 0.0815486 + 0.557793i
\(533\) 52.9276i 2.29255i
\(534\) −10.2132 + 0.544724i −0.441968 + 0.0235725i
\(535\) −8.44757 + 14.6316i −0.365220 + 0.632580i
\(536\) 0.937794 2.46345i 0.0405065 0.106405i
\(537\) −17.8640 + 10.3138i −0.770887 + 0.445072i
\(538\) −12.5328 + 24.6534i −0.540328 + 1.06288i
\(539\) −8.66642 + 0.670389i −0.373289 + 0.0288757i
\(540\) 7.58122 5.52953i 0.326244 0.237953i
\(541\) −10.7162 + 6.18701i −0.460726 + 0.266000i −0.712349 0.701825i \(-0.752369\pi\)
0.251624 + 0.967825i \(0.419036\pi\)
\(542\) −24.8707 38.2201i −1.06829 1.64169i
\(543\) 15.9131 + 9.18742i 0.682895 + 0.394270i
\(544\) −9.43397 2.48112i −0.404478 0.106377i
\(545\) 9.16163i 0.392441i
\(546\) 11.9371 8.44085i 0.510859 0.361235i
\(547\) −31.3301 −1.33958 −0.669790 0.742551i \(-0.733616\pi\)
−0.669790 + 0.742551i \(0.733616\pi\)
\(548\) −10.4812 + 23.6588i −0.447734 + 1.01065i
\(549\) −1.00894 + 1.74753i −0.0430604 + 0.0745828i
\(550\) 0.957809 + 1.47191i 0.0408411 + 0.0627626i
\(551\) −9.45652 16.3792i −0.402861 0.697776i
\(552\) 1.14809 0.185106i 0.0488658 0.00787864i
\(553\) 1.12733 + 29.1905i 0.0479389 + 1.24131i
\(554\) −22.3232 11.3482i −0.948420 0.482140i
\(555\) −2.22208 3.84875i −0.0943220 0.163371i
\(556\) −3.78728 35.4035i −0.160617 1.50144i
\(557\) −10.6869 6.17008i −0.452818 0.261434i 0.256202 0.966623i \(-0.417529\pi\)
−0.709020 + 0.705189i \(0.750862\pi\)
\(558\) 0.821439 0.0438117i 0.0347743 0.00185470i
\(559\) −7.49924 −0.317184
\(560\) −10.2494 + 2.63611i −0.433118 + 0.111396i
\(561\) −1.93969 −0.0818938
\(562\) −5.68225 + 0.303065i −0.239691 + 0.0127840i
\(563\) −1.58551 0.915395i −0.0668213 0.0385793i 0.466217 0.884670i \(-0.345617\pi\)
−0.533038 + 0.846091i \(0.678950\pi\)
\(564\) 2.07223 + 19.3712i 0.0872568 + 0.815675i
\(565\) 10.2024 + 17.6710i 0.429217 + 0.743425i
\(566\) −23.9170 12.1585i −1.00531 0.511058i
\(567\) −3.22730 5.12255i −0.135534 0.215127i
\(568\) 3.76402 + 23.3456i 0.157935 + 0.979561i
\(569\) −0.0498347 0.0863162i −0.00208918 0.00361856i 0.864979 0.501808i \(-0.167332\pi\)
−0.867068 + 0.498190i \(0.833998\pi\)
\(570\) 1.71687 + 2.63840i 0.0719116 + 0.110510i
\(571\) 12.9796 22.4813i 0.543178 0.940812i −0.455541 0.890215i \(-0.650554\pi\)
0.998719 0.0505976i \(-0.0161126\pi\)
\(572\) −4.33910 + 9.79449i −0.181427 + 0.409528i
\(573\) 1.52586 0.0637437
\(574\) −41.6989 19.2105i −1.74048 0.801832i
\(575\) 0.453889i 0.0189285i
\(576\) −13.0217 11.5946i −0.542572 0.483109i
\(577\) 1.28600 + 0.742473i 0.0535369 + 0.0309096i 0.526530 0.850157i \(-0.323493\pi\)
−0.472993 + 0.881066i \(0.656826\pi\)
\(578\) −10.8190 16.6261i −0.450011 0.691555i
\(579\) 19.3450 11.1688i 0.803950 0.464161i
\(580\) 12.4372 9.07133i 0.516425 0.376667i
\(581\) −19.8751 10.4738i −0.824557 0.434526i
\(582\) −2.28071 + 4.48639i −0.0945383 + 0.185967i
\(583\) −9.32223 + 5.38219i −0.386087 + 0.222908i
\(584\) −18.9844 7.22706i −0.785581 0.299058i
\(585\) −4.70051 + 8.14152i −0.194342 + 0.336610i
\(586\) −14.6653 + 0.782177i −0.605817 + 0.0323114i
\(587\) 31.1081i 1.28397i 0.766717 + 0.641985i \(0.221889\pi\)
−0.766717 + 0.641985i \(0.778111\pi\)
\(588\) −2.31744 12.4682i −0.0955698 0.514182i
\(589\) 0.655802i 0.0270219i
\(590\) −0.420624 7.88641i −0.0173168 0.324678i
\(591\) −0.753830 + 1.30567i −0.0310084 + 0.0537081i
\(592\) −14.5351 + 13.1852i −0.597390 + 0.541907i
\(593\) −8.02645 + 4.63407i −0.329607 + 0.190299i −0.655667 0.755051i \(-0.727612\pi\)
0.326060 + 0.945349i \(0.394279\pi\)
\(594\) −7.34469 3.73376i −0.301356 0.153198i
\(595\) 4.03623 + 2.12701i 0.165469 + 0.0871991i
\(596\) 23.7234 17.3032i 0.971747 0.708766i
\(597\) 10.0367 5.79467i 0.410773 0.237160i
\(598\) −2.32072 + 1.51015i −0.0949013 + 0.0617545i
\(599\) 3.48534 + 2.01226i 0.142407 + 0.0822188i 0.569511 0.821984i \(-0.307133\pi\)
−0.427104 + 0.904203i \(0.640466\pi\)
\(600\) −1.98665 + 1.61791i −0.0811046 + 0.0660507i
\(601\) 23.8545i 0.973047i 0.873667 + 0.486524i \(0.161735\pi\)
−0.873667 + 0.486524i \(0.838265\pi\)
\(602\) −2.72191 + 5.90825i −0.110937 + 0.240802i
\(603\) −2.03111 −0.0827131
\(604\) −31.4649 13.9394i −1.28029 0.567186i
\(605\) −4.72902 + 8.19090i −0.192262 + 0.333007i
\(606\) 10.3711 6.74871i 0.421297 0.274148i
\(607\) 18.6259 + 32.2611i 0.756003 + 1.30944i 0.944874 + 0.327434i \(0.106184\pi\)
−0.188871 + 0.982002i \(0.560483\pi\)
\(608\) 9.78328 9.87419i 0.396764 0.400451i
\(609\) 9.83302 + 15.6075i 0.398454 + 0.632449i
\(610\) 0.593362 1.16721i 0.0240245 0.0472588i
\(611\) −23.1923 40.1702i −0.938258 1.62511i
\(612\) 0.799523 + 7.47393i 0.0323188 + 0.302116i
\(613\) 6.65132 + 3.84014i 0.268644 + 0.155102i 0.628271 0.777994i \(-0.283763\pi\)
−0.359627 + 0.933096i \(0.617096\pi\)
\(614\) −1.61538 30.2872i −0.0651914 1.22229i
\(615\) −11.1149 −0.448198
\(616\) 6.14165 + 6.97354i 0.247454 + 0.280972i
\(617\) −27.6806 −1.11438 −0.557189 0.830386i \(-0.688120\pi\)
−0.557189 + 0.830386i \(0.688120\pi\)
\(618\) 0.522578 + 9.79797i 0.0210212 + 0.394132i
\(619\) 25.7376 + 14.8596i 1.03448 + 0.597258i 0.918265 0.395966i \(-0.129590\pi\)
0.116216 + 0.993224i \(0.462923\pi\)
\(620\) −0.530749 + 0.0567769i −0.0213154 + 0.00228021i
\(621\) −1.06477 1.84424i −0.0427277 0.0740066i
\(622\) −5.09799 + 10.0283i −0.204411 + 0.402098i
\(623\) −0.815164 21.1075i −0.0326589 0.845653i
\(624\) −14.8821 4.77470i −0.595762 0.191141i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −12.3745 + 8.05239i −0.494585 + 0.321838i
\(627\) 1.38198 2.39366i 0.0551910 0.0955936i
\(628\) 8.67023 19.5710i 0.345980 0.780968i
\(629\) 8.46019 0.337330
\(630\) 4.70818 + 6.65831i 0.187578 + 0.265273i
\(631\) 1.25766i 0.0500665i 0.999687 + 0.0250332i \(0.00796916\pi\)
−0.999687 + 0.0250332i \(0.992031\pi\)
\(632\) 24.2150 19.7205i 0.963223 0.784438i
\(633\) −13.1878 7.61400i −0.524170 0.302629i
\(634\) 8.02661 5.22310i 0.318777 0.207436i
\(635\) 4.48842 2.59139i 0.178117 0.102836i
\(636\) −9.25458 12.6884i −0.366968 0.503128i
\(637\) 17.0689 + 24.9068i 0.676296 + 0.986845i
\(638\) −12.0492 6.12532i −0.477031 0.242504i
\(639\) 15.7801 9.11067i 0.624253 0.360412i
\(640\) 8.83832 + 7.06287i 0.349365 + 0.279185i
\(641\) 24.7738 42.9096i 0.978508 1.69483i 0.310672 0.950517i \(-0.399446\pi\)
0.667836 0.744309i \(-0.267221\pi\)
\(642\) 1.15273 + 21.6129i 0.0454946 + 0.852992i
\(643\) 44.6117i 1.75931i −0.475608 0.879657i \(-0.657772\pi\)
0.475608 0.879657i \(-0.342228\pi\)
\(644\) 0.347440 + 2.37649i 0.0136910 + 0.0936469i
\(645\) 1.57486i 0.0620100i
\(646\) −5.98389 + 0.319152i −0.235433 + 0.0125569i
\(647\) −16.9430 + 29.3462i −0.666098 + 1.15372i 0.312888 + 0.949790i \(0.398704\pi\)
−0.978986 + 0.203926i \(0.934630\pi\)
\(648\) −2.30274 + 6.04896i −0.0904602 + 0.237626i
\(649\) −6.00550 + 3.46728i −0.235736 + 0.136103i
\(650\) 2.76440 5.43786i 0.108429 0.213290i
\(651\) −0.0246841 0.639158i −0.000967445 0.0250506i
\(652\) 29.5730 + 40.5458i 1.15817 + 1.58790i
\(653\) 31.0838 17.9462i 1.21640 0.702291i 0.252256 0.967660i \(-0.418827\pi\)
0.964147 + 0.265370i \(0.0854940\pi\)
\(654\) −6.40128 9.83717i −0.250310 0.384664i
\(655\) 11.7551 + 6.78684i 0.459312 + 0.265184i
\(656\) 10.3821 + 47.9705i 0.405353 + 1.87293i
\(657\) 15.6526i 0.610667i
\(658\) −40.0657 + 3.69185i −1.56193 + 0.143923i
\(659\) −2.82512 −0.110051 −0.0550255 0.998485i \(-0.517524\pi\)
−0.0550255 + 0.998485i \(0.517524\pi\)
\(660\) 2.05687 + 0.911222i 0.0800635 + 0.0354693i
\(661\) 8.31035 14.3939i 0.323235 0.559860i −0.657919 0.753089i \(-0.728563\pi\)
0.981154 + 0.193230i \(0.0618962\pi\)
\(662\) 8.63593 + 13.2713i 0.335645 + 0.515803i
\(663\) 3.36894 + 5.83517i 0.130839 + 0.226619i
\(664\) 3.82291 + 23.7109i 0.148358 + 0.920162i
\(665\) −5.50054 + 3.46544i −0.213302 + 0.134384i
\(666\) 13.4798 + 6.85262i 0.522333 + 0.265534i
\(667\) −1.74678 3.02551i −0.0676356 0.117148i
\(668\) −12.7893 + 1.36813i −0.494833 + 0.0529347i
\(669\) −18.7250 10.8109i −0.723949 0.417972i
\(670\) 1.31608 0.0701938i 0.0508448 0.00271182i
\(671\) −1.14970 −0.0443837
\(672\) −9.16332 + 9.99183i −0.353483 + 0.385443i
\(673\) −28.1914 −1.08670 −0.543349 0.839507i \(-0.682844\pi\)
−0.543349 + 0.839507i \(0.682844\pi\)
\(674\) 34.5864 1.84467i 1.33222 0.0710542i
\(675\) 4.06319 + 2.34588i 0.156392 + 0.0902930i
\(676\) 11.1486 1.19262i 0.428792 0.0458700i
\(677\) −12.3523 21.3947i −0.474736 0.822266i 0.524846 0.851197i \(-0.324123\pi\)
−0.999581 + 0.0289312i \(0.990790\pi\)
\(678\) 23.3015 + 11.8456i 0.894888 + 0.454926i
\(679\) −9.19555 4.84587i −0.352893 0.185968i
\(680\) −0.776357 4.81521i −0.0297719 0.184655i
\(681\) −3.51349 6.08554i −0.134637 0.233198i
\(682\) 0.255629 + 0.392838i 0.00978853 + 0.0150425i
\(683\) 1.55667 2.69624i 0.0595645 0.103169i −0.834706 0.550697i \(-0.814362\pi\)
0.894270 + 0.447528i \(0.147695\pi\)
\(684\) −9.79279 4.33834i −0.374437 0.165881i
\(685\) −12.9383 −0.494345
\(686\) 25.8181 4.40757i 0.985739 0.168282i
\(687\) 4.44207i 0.169475i
\(688\) 6.79687 1.47102i 0.259128 0.0560823i
\(689\) 32.3825 + 18.6960i 1.23367 + 0.712262i
\(690\) 0.317135 + 0.487357i 0.0120731 + 0.0185534i
\(691\) −17.8344 + 10.2967i −0.678451 + 0.391704i −0.799271 0.600970i \(-0.794781\pi\)
0.120820 + 0.992674i \(0.461448\pi\)
\(692\) 2.55926 + 3.50886i 0.0972886 + 0.133387i
\(693\) 3.33820 6.33457i 0.126808 0.240631i
\(694\) 10.5253 20.7043i 0.399534 0.785925i
\(695\) 15.4176 8.90137i 0.584824 0.337648i
\(696\) 7.01605 18.4301i 0.265943 0.698593i
\(697\) 10.5796 18.3243i 0.400729 0.694084i
\(698\) 0.270583 0.0144316i 0.0102417 0.000546245i
\(699\) 15.5539i 0.588304i
\(700\) −3.28084 4.15164i −0.124004 0.156917i
\(701\) 3.67022i 0.138622i −0.997595 0.0693111i \(-0.977920\pi\)
0.997595 0.0693111i \(-0.0220801\pi\)
\(702\) 1.52432 + 28.5800i 0.0575318 + 1.07868i
\(703\) −6.02767 + 10.4402i −0.227338 + 0.393761i
\(704\) 2.01145 9.72830i 0.0758095 0.366649i
\(705\) −8.43584 + 4.87043i −0.317712 + 0.183431i
\(706\) −28.1791 14.3252i −1.06054 0.539135i
\(707\) 13.6220 + 21.6217i 0.512310 + 0.813167i
\(708\) −5.96192 8.17403i −0.224063 0.307199i
\(709\) −2.73543 + 1.57930i −0.102731 + 0.0593118i −0.550485 0.834845i \(-0.685557\pi\)
0.447754 + 0.894157i \(0.352224\pi\)
\(710\) −9.91011 + 6.44874i −0.371920 + 0.242017i
\(711\) −20.8398 12.0319i −0.781554 0.451231i
\(712\) −17.5098 + 14.2597i −0.656206 + 0.534407i
\(713\) 0.121138i 0.00453665i
\(714\) 5.82000 0.536283i 0.217808 0.0200699i
\(715\) −5.35630 −0.200314
\(716\) −18.4472 + 41.6401i −0.689403 + 1.55616i
\(717\) −10.2220 + 17.7050i −0.381748 + 0.661206i
\(718\) −28.0243 + 18.2361i −1.04586 + 0.680564i
\(719\) 10.8001 + 18.7063i 0.402775 + 0.697626i 0.994060 0.108837i \(-0.0347125\pi\)
−0.591285 + 0.806463i \(0.701379\pi\)
\(720\) 2.66326 8.30103i 0.0992537 0.309361i
\(721\) −20.2493 + 0.782023i −0.754125 + 0.0291241i
\(722\) −8.30708 + 16.3409i −0.309158 + 0.608146i
\(723\) −1.30440 2.25929i −0.0485113 0.0840241i
\(724\) 40.3395 4.31531i 1.49920 0.160377i
\(725\) 6.66576 + 3.84848i 0.247560 + 0.142929i
\(726\) 0.645307 + 12.0991i 0.0239496 + 0.449038i
\(727\) 48.4533 1.79703 0.898516 0.438941i \(-0.144646\pi\)
0.898516 + 0.438941i \(0.144646\pi\)
\(728\) 10.3114 30.5879i 0.382166 1.13366i
\(729\) −7.76263 −0.287505
\(730\) −0.540945 10.1423i −0.0200213 0.375385i
\(731\) −2.59635 1.49900i −0.0960294 0.0554426i
\(732\) −0.178419 1.66786i −0.00659455 0.0616457i
\(733\) 7.62984 + 13.2153i 0.281814 + 0.488117i 0.971832 0.235676i \(-0.0757304\pi\)
−0.690017 + 0.723793i \(0.742397\pi\)
\(734\) 11.5373 22.6951i 0.425850 0.837693i
\(735\) 5.23050 3.58452i 0.192930 0.132217i
\(736\) 1.80714 1.82393i 0.0666121 0.0672310i
\(737\) −0.578619 1.00220i −0.0213137 0.0369165i
\(738\) 31.6991 20.6274i 1.16686 0.759303i
\(739\) 3.14394 5.44547i 0.115652 0.200315i −0.802388 0.596802i \(-0.796438\pi\)
0.918040 + 0.396488i \(0.129771\pi\)
\(740\) −8.97127 3.97440i −0.329791 0.146102i
\(741\) −9.60113 −0.352706
\(742\) 26.4831 18.7266i 0.972225 0.687474i
\(743\) 32.4205i 1.18939i −0.803950 0.594697i \(-0.797272\pi\)
0.803950 0.594697i \(-0.202728\pi\)
\(744\) −0.530215 + 0.431801i −0.0194386 + 0.0158306i
\(745\) 12.7146 + 7.34080i 0.465829 + 0.268946i
\(746\) −29.5233 + 19.2115i −1.08093 + 0.703383i
\(747\) 16.0270 9.25322i 0.586399 0.338558i
\(748\) −3.46005 + 2.52367i −0.126512 + 0.0922745i
\(749\) −44.6670 + 1.72503i −1.63210 + 0.0630311i
\(750\) −1.14196 0.580530i −0.0416987 0.0211980i
\(751\) 36.4730 21.0577i 1.33092 0.768406i 0.345477 0.938427i \(-0.387717\pi\)
0.985440 + 0.170022i \(0.0543837\pi\)
\(752\) 28.8997 + 31.8586i 1.05387 + 1.16176i
\(753\) 5.60440 9.70710i 0.204236 0.353747i
\(754\) 2.50069 + 46.8862i 0.0910697 + 1.70749i
\(755\) 17.2072i 0.626233i
\(756\) 23.0699 + 9.17241i 0.839045 + 0.333597i
\(757\) 14.3036i 0.519875i 0.965625 + 0.259937i \(0.0837019\pi\)
−0.965625 + 0.259937i \(0.916298\pi\)
\(758\) 5.52960 0.294923i 0.200844 0.0107121i
\(759\) 0.255276 0.442150i 0.00926592 0.0160490i
\(760\) 6.49531 + 2.47266i 0.235610 + 0.0896927i
\(761\) 11.5548 6.67119i 0.418862 0.241830i −0.275728 0.961236i \(-0.588919\pi\)
0.694590 + 0.719405i \(0.255586\pi\)
\(762\) 3.00876 5.91855i 0.108996 0.214406i
\(763\) 20.5086 12.9208i 0.742460 0.467763i
\(764\) 2.72186 1.98525i 0.0984733 0.0718238i
\(765\) −3.25477 + 1.87914i −0.117676 + 0.0679405i
\(766\) 12.7608 + 19.6102i 0.461067 + 0.708546i
\(767\) 20.8612 + 12.0442i 0.753255 + 0.434892i
\(768\) 14.4249 + 1.40828i 0.520513 + 0.0508170i
\(769\) 16.2042i 0.584338i −0.956367 0.292169i \(-0.905623\pi\)
0.956367 0.292169i \(-0.0943770\pi\)
\(770\) −1.94411 + 4.21995i −0.0700610 + 0.152076i
\(771\) 5.12267 0.184489
\(772\) 19.9765 45.0923i 0.718971 1.62291i
\(773\) −6.10743 + 10.5784i −0.219669 + 0.380478i −0.954707 0.297548i \(-0.903831\pi\)
0.735038 + 0.678026i \(0.237164\pi\)
\(774\) −2.92266 4.49140i −0.105053 0.161440i
\(775\) −0.133444 0.231133i −0.00479347 0.00830253i
\(776\) 1.76874 + 10.9703i 0.0634939 + 0.393809i
\(777\) 5.48173 10.4021i 0.196656 0.373175i
\(778\) 25.9895 + 13.2120i 0.931769 + 0.473675i
\(779\) 15.0753 + 26.1113i 0.540130 + 0.935533i
\(780\) −0.831230 7.77033i −0.0297628 0.278222i
\(781\) 8.99086 + 5.19087i 0.321718 + 0.185744i
\(782\) −1.10533 + 0.0589529i −0.0395264 + 0.00210815i
\(783\) −36.1123 −1.29055
\(784\) −20.3559 19.2259i −0.726997 0.686640i
\(785\) 10.7028 0.381998
\(786\) 17.3639 0.926111i 0.619351 0.0330333i
\(787\) 12.7062 + 7.33592i 0.452927 + 0.261497i 0.709065 0.705143i \(-0.249117\pi\)
−0.256139 + 0.966640i \(0.582450\pi\)
\(788\) 0.354072 + 3.30986i 0.0126133 + 0.117909i
\(789\) 4.51155 + 7.81424i 0.160616 + 0.278194i
\(790\) 13.9193 + 7.07602i 0.495226 + 0.251753i
\(791\) −25.1686 + 47.7600i −0.894891 + 1.69815i
\(792\) −7.55713 + 1.21844i −0.268531 + 0.0432953i
\(793\) 1.99685 + 3.45864i 0.0709101 + 0.122820i
\(794\) −14.5933 22.4263i −0.517897 0.795878i
\(795\) 3.92622 6.80041i 0.139249 0.241186i
\(796\) 10.3643 23.3950i 0.367353 0.829214i
\(797\) −32.6214 −1.15551 −0.577754 0.816211i \(-0.696071\pi\)
−0.577754 + 0.816211i \(0.696071\pi\)
\(798\) −3.48481 + 7.56422i −0.123361 + 0.267771i
\(799\) 18.5433i 0.656016i
\(800\) −1.43882 + 5.47081i −0.0508698 + 0.193422i
\(801\) 15.0691 + 8.70018i 0.532442 + 0.307406i
\(802\) −2.67914 4.11717i −0.0946037 0.145382i
\(803\) −7.72339 + 4.45910i −0.272552 + 0.157358i
\(804\) 1.36408 0.994925i 0.0481075 0.0350883i
\(805\) −1.01604 + 0.640125i −0.0358108 + 0.0225615i
\(806\) 0.737786 1.45130i 0.0259874 0.0511200i
\(807\) −15.3412 + 8.85724i −0.540036 + 0.311790i
\(808\) 9.71960 25.5320i 0.341934 0.898211i
\(809\) 10.4784 18.1491i 0.368400 0.638087i −0.620916 0.783877i \(-0.713239\pi\)
0.989316 + 0.145790i \(0.0465724\pi\)
\(810\) −3.23163 + 0.172360i −0.113548 + 0.00605611i
\(811\) 41.5111i 1.45765i 0.684699 + 0.728826i \(0.259934\pi\)
−0.684699 + 0.728826i \(0.740066\pi\)
\(812\) 37.8468 + 15.0476i 1.32816 + 0.528066i
\(813\) 29.2078i 1.02436i
\(814\) 0.458868 + 8.60345i 0.0160833 + 0.301551i
\(815\) −12.5462 + 21.7307i −0.439475 + 0.761193i
\(816\) −4.19801 4.62782i −0.146960 0.162006i
\(817\) 3.69967 2.13600i 0.129435 0.0747293i
\(818\) 29.7691 + 15.1334i 1.04085 + 0.529128i
\(819\) −24.8542 + 0.959862i −0.868477 + 0.0335403i
\(820\) −19.8270 + 14.4613i −0.692390 + 0.505010i
\(821\) −20.2501 + 11.6914i −0.706734 + 0.408033i −0.809850 0.586636i \(-0.800452\pi\)
0.103117 + 0.994669i \(0.467118\pi\)
\(822\) −13.8923 + 9.04003i −0.484549 + 0.315307i
\(823\) −13.6126 7.85923i −0.474505 0.273956i 0.243619 0.969871i \(-0.421665\pi\)
−0.718124 + 0.695915i \(0.754999\pi\)
\(824\) 13.6800 + 16.7979i 0.476566 + 0.585182i
\(825\) 1.12484i 0.0391618i
\(826\) 17.0608 12.0639i 0.593619 0.419756i
\(827\) −34.6724 −1.20568 −0.602838 0.797864i \(-0.705963\pi\)
−0.602838 + 0.797864i \(0.705963\pi\)
\(828\) −1.80890 0.801366i −0.0628635 0.0278494i
\(829\) −15.5301 + 26.8989i −0.539383 + 0.934238i 0.459555 + 0.888150i \(0.348009\pi\)
−0.998937 + 0.0460889i \(0.985324\pi\)
\(830\) −10.0652 + 6.54964i −0.349367 + 0.227341i
\(831\) −8.02006 13.8912i −0.278213 0.481879i
\(832\) −32.7592 + 10.8455i −1.13572 + 0.375999i
\(833\) 0.930962 + 12.0350i 0.0322559 + 0.416987i
\(834\) 10.3350 20.3301i 0.357873 0.703974i
\(835\) −3.21557 5.56953i −0.111279 0.192741i
\(836\) −0.649114 6.06791i −0.0224501 0.209863i
\(837\) 1.08442 + 0.626090i 0.0374830 + 0.0216408i
\(838\) −0.549529 10.3033i −0.0189832 0.355921i
\(839\) 16.3946 0.566003 0.283002 0.959119i \(-0.408670\pi\)
0.283002 + 0.959119i \(0.408670\pi\)
\(840\) −6.42353 2.16542i −0.221633 0.0747142i
\(841\) −30.2431 −1.04287
\(842\) −0.505835 9.48405i −0.0174322 0.326842i
\(843\) −3.15650 1.82240i −0.108715 0.0627669i
\(844\) −33.4310 + 3.57628i −1.15074 + 0.123101i
\(845\) 2.80305 + 4.85503i 0.0964279 + 0.167018i
\(846\) 15.0198 29.5456i 0.516392 1.01580i
\(847\) −25.0050 + 0.965684i −0.859181 + 0.0331813i
\(848\) −33.0170 10.5930i −1.13381 0.363764i
\(849\) −8.59268 14.8830i −0.294900 0.510782i
\(850\) 2.04403 1.33010i 0.0701098 0.0456221i
\(851\) −1.11341 + 1.92849i −0.0381673 + 0.0661078i
\(852\) −6.13508 + 13.8485i −0.210184 + 0.474442i
\(853\) −43.9900 −1.50619 −0.753095 0.657911i \(-0.771440\pi\)
−0.753095 + 0.657911i \(0.771440\pi\)
\(854\) 3.44965 0.317867i 0.118045 0.0108772i
\(855\) 5.35537i 0.183150i
\(856\) 30.1761 + 37.0536i 1.03140 + 1.26647i
\(857\) 19.8887 + 11.4827i 0.679384 + 0.392242i 0.799623 0.600503i \(-0.205033\pi\)
−0.120239 + 0.992745i \(0.538366\pi\)
\(858\) −5.75126 + 3.74248i −0.196345 + 0.127766i
\(859\) −0.419174 + 0.242010i −0.0143020 + 0.00825728i −0.507134 0.861867i \(-0.669295\pi\)
0.492832 + 0.870125i \(0.335962\pi\)
\(860\) 2.04900 + 2.80926i 0.0698703 + 0.0957950i
\(861\) −15.6756 24.8811i −0.534221 0.847947i
\(862\) 42.7044 + 21.7092i 1.45452 + 0.739420i
\(863\) −9.39498 + 5.42419i −0.319809 + 0.184642i −0.651307 0.758814i \(-0.725779\pi\)
0.331499 + 0.943456i \(0.392446\pi\)
\(864\) −6.98770 25.6042i −0.237727 0.871074i
\(865\) −1.08576 + 1.88059i −0.0369168 + 0.0639419i
\(866\) −1.11975 20.9946i −0.0380508 0.713426i
\(867\) 12.7057i 0.431508i
\(868\) −0.875620 1.10803i −0.0297205 0.0376088i
\(869\) 13.7105i 0.465097i
\(870\) 9.84622 0.525151i 0.333818 0.0178043i
\(871\) −2.00994 + 3.48132i −0.0681043 + 0.117960i
\(872\) −24.2175 9.21922i −0.820109 0.312202i
\(873\) 7.41519 4.28116i 0.250966 0.144895i
\(874\) 0.714767 1.40602i 0.0241774 0.0475594i
\(875\) 1.23347 2.34063i 0.0416988 0.0791278i
\(876\) −7.66734 10.5122i −0.259055 0.355176i
\(877\) 36.4411 21.0393i 1.23053 0.710446i 0.263388 0.964690i \(-0.415160\pi\)
0.967140 + 0.254244i \(0.0818266\pi\)
\(878\) 9.60137 + 14.7549i 0.324031 + 0.497955i
\(879\) −8.14658 4.70343i −0.274777 0.158643i
\(880\) 4.85464 1.05067i 0.163650 0.0354182i
\(881\) 30.9141i 1.04152i −0.853702 0.520762i \(-0.825648\pi\)
0.853702 0.520762i \(-0.174352\pi\)
\(882\) −8.26482 + 19.9297i −0.278291 + 0.671068i
\(883\) 6.07978 0.204601 0.102300 0.994754i \(-0.467380\pi\)
0.102300 + 0.994754i \(0.467380\pi\)
\(884\) 13.6015 + 6.02566i 0.457469 + 0.202665i
\(885\) 2.52932 4.38091i 0.0850221 0.147263i
\(886\) −7.96635 12.2423i −0.267635 0.411288i
\(887\) −24.0789 41.7059i −0.808492 1.40035i −0.913908 0.405920i \(-0.866951\pi\)
0.105417 0.994428i \(-0.466382\pi\)
\(888\) −12.4097 + 2.00082i −0.416443 + 0.0671431i
\(889\) 12.1310 + 6.39279i 0.406860 + 0.214407i
\(890\) −10.0649 5.11662i −0.337378 0.171510i
\(891\) 1.42079 + 2.46089i 0.0475984 + 0.0824428i
\(892\) −47.4676 + 5.07784i −1.58933 + 0.170019i
\(893\) 22.8833 + 13.2117i 0.765760 + 0.442111i
\(894\) 18.7812 1.00170i 0.628139 0.0335020i
\(895\) −22.7717 −0.761173
\(896\) −3.34566 + 29.7457i −0.111771 + 0.993734i
\(897\) −1.77349 −0.0592152
\(898\) 26.3504 1.40541i 0.879324 0.0468990i
\(899\) 1.77902 + 1.02712i 0.0593335 + 0.0342562i
\(900\) 4.33417 0.463648i 0.144472 0.0154549i
\(901\) 7.47420 + 12.9457i 0.249002 + 0.431283i
\(902\) 19.2085 + 9.76483i 0.639572 + 0.325133i
\(903\) −3.52537 + 2.22105i −0.117317 + 0.0739118i
\(904\) 56.9775 9.18649i 1.89504 0.305538i
\(905\) 10.1424 + 17.5672i 0.337145 + 0.583952i
\(906\) −12.0227 18.4760i −0.399429 0.613823i
\(907\) −7.12984 + 12.3493i −0.236743 + 0.410050i −0.959778 0.280761i \(-0.909413\pi\)
0.723035 + 0.690811i \(0.242746\pi\)
\(908\) −14.1851 6.28420i −0.470749 0.208549i
\(909\) −21.0510 −0.698219
\(910\) 16.0715 1.48090i 0.532764 0.0490914i
\(911\) 37.4662i 1.24131i 0.784083 + 0.620656i \(0.213134\pi\)
−0.784083 + 0.620656i \(0.786866\pi\)
\(912\) 8.70191 1.88332i 0.288149 0.0623631i
\(913\) 9.13153 + 5.27209i 0.302210 + 0.174481i
\(914\) 8.73130 + 13.4178i 0.288806 + 0.443822i
\(915\) 0.726324 0.419343i 0.0240115 0.0138631i
\(916\) 5.77943 + 7.92383i 0.190958 + 0.261811i
\(917\) 1.38590 + 35.8858i 0.0457664 + 1.18505i
\(918\) −5.18503 + 10.1995i −0.171132 + 0.336634i
\(919\) −34.5077 + 19.9230i −1.13830 + 0.657200i −0.946010 0.324138i \(-0.894926\pi\)
−0.192293 + 0.981338i \(0.561592\pi\)
\(920\) 1.19979 + 0.456742i 0.0395561 + 0.0150583i
\(921\) 9.71368 16.8246i 0.320077 0.554389i
\(922\) 35.9481 1.91730i 1.18389 0.0631430i
\(923\) 36.0629i 1.18703i
\(924\) 0.861032 + 5.88947i 0.0283259 + 0.193749i
\(925\) 4.90611i 0.161312i
\(926\) −0.509873 9.55977i −0.0167555 0.314154i
\(927\) 8.34647 14.4565i 0.274134 0.474814i
\(928\) −11.4635 42.0044i −0.376308 1.37886i
\(929\) −3.03847 + 1.75426i −0.0996889 + 0.0575554i −0.549016 0.835812i \(-0.684997\pi\)
0.449327 + 0.893368i \(0.351664\pi\)
\(930\) −0.304778 0.154937i −0.00999405 0.00508059i
\(931\) −15.5150 7.42577i −0.508483 0.243370i
\(932\) −20.2367 27.7454i −0.662876 0.908830i
\(933\) −6.24036 + 3.60288i −0.204300 + 0.117953i
\(934\) 24.7543 16.1082i 0.809985 0.527076i
\(935\) −1.85443 1.07066i −0.0606464 0.0350142i
\(936\) 16.7910 + 20.6179i 0.548830 + 0.673916i
\(937\) 50.3147i 1.64371i −0.569696 0.821855i \(-0.692939\pi\)
0.569696 0.821855i \(-0.307061\pi\)
\(938\) 2.01322 + 2.84710i 0.0657340 + 0.0929611i
\(939\) −9.45661 −0.308605
\(940\) −8.71123 + 19.6636i −0.284129 + 0.641355i
\(941\) 16.9244 29.3139i 0.551719 0.955605i −0.446432 0.894817i \(-0.647306\pi\)
0.998151 0.0607871i \(-0.0193611\pi\)
\(942\) 11.4920 7.47809i 0.374428 0.243649i
\(943\) 2.78467 + 4.82320i 0.0906815 + 0.157065i
\(944\) −21.2699 6.82412i −0.692278 0.222106i
\(945\) 0.479038 + 12.4040i 0.0155831 + 0.403502i
\(946\) 1.38356 2.72162i 0.0449835 0.0884874i
\(947\) 1.28323 + 2.22263i 0.0416995 + 0.0722256i 0.886122 0.463452i \(-0.153389\pi\)
−0.844422 + 0.535678i \(0.820056\pi\)
\(948\) 19.8897 2.12770i 0.645987 0.0691044i
\(949\) 26.8286 + 15.4895i 0.870894 + 0.502811i
\(950\) 0.185078 + 3.47009i 0.00600473 + 0.112585i
\(951\) 6.13393 0.198906
\(952\) 9.68408 8.52885i 0.313863 0.276422i
\(953\) −2.53946 −0.0822613 −0.0411306 0.999154i \(-0.513096\pi\)
−0.0411306 + 0.999154i \(0.513096\pi\)
\(954\) 1.42302 + 26.6807i 0.0460721 + 0.863819i
\(955\) 1.45879 + 0.842233i 0.0472054 + 0.0272540i
\(956\) 4.80125 + 44.8820i 0.155284 + 1.45159i
\(957\) −4.32891 7.49789i −0.139934 0.242372i
\(958\) −1.86888 + 3.67629i −0.0603808 + 0.118775i
\(959\) −18.2470 28.9627i −0.589226 0.935254i
\(960\) 2.27758 + 6.87952i 0.0735085 + 0.222036i
\(961\) 15.4644 + 26.7851i 0.498851 + 0.864036i
\(962\) 25.0848 16.3232i 0.808766 0.526283i
\(963\) 18.4111 31.8889i 0.593288 1.02760i
\(964\) −5.26631 2.33305i −0.169617 0.0751425i
\(965\) 24.6596 0.793819
\(966\) −0.643704 + 1.39724i −0.0207108 + 0.0449555i
\(967\) 12.3398i 0.396821i −0.980119 0.198410i \(-0.936422\pi\)
0.980119 0.198410i \(-0.0635779\pi\)
\(968\) 16.8928 + 20.7429i 0.542955 + 0.666703i
\(969\) −3.32405 1.91914i −0.106784 0.0616518i
\(970\) −4.65682 + 3.03030i −0.149522 + 0.0972972i
\(971\) 5.46696 3.15635i 0.175443 0.101292i −0.409707 0.912217i \(-0.634369\pi\)
0.585150 + 0.810925i \(0.301036\pi\)
\(972\) −26.0931 + 19.0316i −0.836938 + 0.610440i
\(973\) 41.6696 + 21.9591i 1.33587 + 0.703976i
\(974\) 14.6417 + 7.44326i 0.469150 + 0.238498i
\(975\) 3.38385 1.95367i 0.108370 0.0625674i
\(976\) −2.48826 2.74302i −0.0796473 0.0878018i
\(977\) −5.33460 + 9.23979i −0.170669 + 0.295607i −0.938654 0.344861i \(-0.887926\pi\)
0.767985 + 0.640468i \(0.221260\pi\)
\(978\) 1.71202 + 32.0991i 0.0547443 + 1.02642i
\(979\) 9.91399i 0.316852i
\(980\) 4.66655 13.1994i 0.149068 0.421638i
\(981\) 19.9673i 0.637507i
\(982\) −3.19428 + 0.170368i −0.101934 + 0.00543666i
\(983\) −7.67846 + 13.2995i −0.244905 + 0.424188i −0.962105 0.272680i \(-0.912090\pi\)
0.717200 + 0.696867i \(0.245423\pi\)
\(984\) −11.1848 + 29.3809i −0.356559 + 0.936628i
\(985\) −1.44139 + 0.832187i −0.0459265 + 0.0265157i
\(986\) −8.50617 + 16.7325i −0.270892 + 0.532873i
\(987\) −22.7998 12.0150i −0.725725 0.382443i
\(988\) −17.1267 + 12.4917i −0.544872 + 0.397415i
\(989\) 0.683392 0.394556i 0.0217306 0.0125462i
\(990\) −2.08750 3.20796i −0.0663450 0.101956i
\(991\) −20.0575 11.5802i −0.637148 0.367857i 0.146367 0.989230i \(-0.453242\pi\)
−0.783515 + 0.621373i \(0.786575\pi\)
\(992\) −0.384004 + 1.46010i −0.0121921 + 0.0463582i
\(993\) 10.1419i 0.321844i
\(994\) −28.4121 13.0893i −0.901176 0.415168i
\(995\) 12.7940 0.405597
\(996\) −6.23107 + 14.0652i −0.197439 + 0.445672i
\(997\) −4.75443 + 8.23492i −0.150574 + 0.260803i −0.931439 0.363898i \(-0.881446\pi\)
0.780864 + 0.624701i \(0.214779\pi\)
\(998\) 18.3124 + 28.1416i 0.579670 + 0.890808i
\(999\) 11.5092 + 19.9344i 0.364133 + 0.630698i
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.171.12 yes 24
4.3 odd 2 1120.2.bz.f.591.6 24
7.5 odd 6 280.2.bj.f.131.4 yes 24
8.3 odd 2 280.2.bj.f.171.4 yes 24
8.5 even 2 1120.2.bz.e.591.6 24
28.19 even 6 1120.2.bz.e.271.6 24
56.5 odd 6 1120.2.bz.f.271.6 24
56.19 even 6 inner 280.2.bj.e.131.12 24
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
280.2.bj.e.131.12 24 56.19 even 6 inner
280.2.bj.e.171.12 yes 24 1.1 even 1 trivial
280.2.bj.f.131.4 yes 24 7.5 odd 6
280.2.bj.f.171.4 yes 24 8.3 odd 2
1120.2.bz.e.271.6 24 28.19 even 6
1120.2.bz.e.591.6 24 8.5 even 2
1120.2.bz.f.271.6 24 56.5 odd 6
1120.2.bz.f.591.6 24 4.3 odd 2