Properties

Label 430.2.k.d.11.2
Level $430$
Weight $2$
Character 430.11
Analytic conductor $3.434$
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] = [430,2,Mod(11,430)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(430, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([0, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("430.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 430 = 2 \cdot 5 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 430.k (of order \(7\), degree \(6\), 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: \(3.43356728692\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 11.2
Character \(\chi\) \(=\) 430.11
Dual form 430.2.k.d.391.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.623490 - 0.781831i) q^{2} +(-1.03097 + 1.29280i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(0.900969 - 0.433884i) q^{5} +1.65355 q^{6} -3.40711 q^{7} +(0.900969 - 0.433884i) q^{8} +(0.0591384 + 0.259102i) q^{9} +O(q^{10})\) \(q+(-0.623490 - 0.781831i) q^{2} +(-1.03097 + 1.29280i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(0.900969 - 0.433884i) q^{5} +1.65355 q^{6} -3.40711 q^{7} +(0.900969 - 0.433884i) q^{8} +(0.0591384 + 0.259102i) q^{9} +(-0.900969 - 0.433884i) q^{10} +(-0.666565 - 2.92041i) q^{11} +(-1.03097 - 1.29280i) q^{12} +(-1.19835 + 0.577095i) q^{13} +(2.12430 + 2.66378i) q^{14} +(-0.367950 + 1.61209i) q^{15} +(-0.900969 - 0.433884i) q^{16} +(-1.28393 - 0.618308i) q^{17} +(0.165702 - 0.207784i) q^{18} +(0.589719 - 2.58373i) q^{19} +(0.222521 + 0.974928i) q^{20} +(3.51263 - 4.40470i) q^{21} +(-1.86767 + 2.34199i) q^{22} +(-1.38386 - 6.06309i) q^{23} +(-0.367950 + 1.61209i) q^{24} +(0.623490 - 0.781831i) q^{25} +(1.19835 + 0.577095i) q^{26} +(-4.86533 - 2.34302i) q^{27} +(0.758153 - 3.32168i) q^{28} +(-0.0758221 - 0.0950779i) q^{29} +(1.48980 - 0.717449i) q^{30} +(-4.06742 - 5.10038i) q^{31} +(0.222521 + 0.974928i) q^{32} +(4.46272 + 2.14913i) q^{33} +(0.317105 + 1.38933i) q^{34} +(-3.06970 + 1.47829i) q^{35} -0.265765 q^{36} -7.10154 q^{37} +(-2.38772 + 1.14987i) q^{38} +(0.489399 - 2.14420i) q^{39} +(0.623490 - 0.781831i) q^{40} +(-0.325939 - 0.408714i) q^{41} -5.63383 q^{42} +(-6.34466 + 1.65688i) q^{43} +2.99552 q^{44} +(0.165702 + 0.207784i) q^{45} +(-3.87749 + 4.86222i) q^{46} +(-0.00664289 + 0.0291044i) q^{47} +(1.48980 - 0.717449i) q^{48} +4.60838 q^{49} -1.00000 q^{50} +(2.12305 - 1.02240i) q^{51} +(-0.295968 - 1.29672i) q^{52} +(4.64400 + 2.23643i) q^{53} +(1.20164 + 5.26472i) q^{54} +(-1.86767 - 2.34199i) q^{55} +(-3.06970 + 1.47829i) q^{56} +(2.73225 + 3.42614i) q^{57} +(-0.0270606 + 0.118560i) q^{58} +(-0.907394 - 0.436978i) q^{59} +(-1.48980 - 0.717449i) q^{60} +(1.93412 - 2.42531i) q^{61} +(-1.45164 + 6.36007i) q^{62} +(-0.201491 - 0.882789i) q^{63} +(0.623490 - 0.781831i) q^{64} +(-0.829284 + 1.03989i) q^{65} +(-1.10220 - 4.82906i) q^{66} +(0.693925 - 3.04028i) q^{67} +(0.888507 - 1.11415i) q^{68} +(9.26509 + 4.46183i) q^{69} +(3.06970 + 1.47829i) q^{70} +(-1.41564 + 6.20234i) q^{71} +(0.165702 + 0.207784i) q^{72} +(2.38045 - 1.14636i) q^{73} +(4.42774 + 5.55221i) q^{74} +(0.367950 + 1.61209i) q^{75} +(2.38772 + 1.14987i) q^{76} +(2.27106 + 9.95016i) q^{77} +(-1.98153 + 0.954257i) q^{78} +5.72984 q^{79} -1.00000 q^{80} +(7.32674 - 3.52837i) q^{81} +(-0.116326 + 0.509658i) q^{82} +(-5.94910 + 7.45993i) q^{83} +(3.51263 + 4.40470i) q^{84} -1.42505 q^{85} +(5.25124 + 3.92741i) q^{86} +0.201087 q^{87} +(-1.86767 - 2.34199i) q^{88} +(-7.62823 + 9.56549i) q^{89} +(0.0591384 - 0.259102i) q^{90} +(4.08291 - 1.96622i) q^{91} +6.21902 q^{92} +10.7872 q^{93} +(0.0268965 - 0.0129527i) q^{94} +(-0.589719 - 2.58373i) q^{95} +(-1.48980 - 0.717449i) q^{96} +(-0.537661 - 2.35565i) q^{97} +(-2.87328 - 3.60297i) q^{98} +(0.717266 - 0.345417i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9} - 4 q^{10} - 9 q^{11} + 2 q^{12} - 2 q^{13} - 5 q^{14} - 2 q^{15} - 4 q^{16} + 13 q^{17} - 10 q^{18} - 3 q^{19} + 4 q^{20} - 14 q^{21} - 5 q^{22} + 11 q^{23} - 2 q^{24} - 4 q^{25} + 2 q^{26} - 13 q^{27} + 5 q^{28} + 20 q^{29} + 2 q^{30} - 5 q^{31} + 4 q^{32} + 15 q^{33} + q^{34} + 9 q^{35} + 24 q^{36} - 38 q^{37} - 18 q^{38} + 5 q^{39} - 4 q^{40} - 2 q^{41} - 14 q^{42} - 2 q^{43} - 2 q^{44} - 10 q^{45} - 4 q^{46} + 10 q^{47} + 2 q^{48} + 50 q^{49} - 24 q^{50} - 42 q^{51} - 2 q^{52} + 22 q^{53} - 29 q^{54} - 5 q^{55} + 9 q^{56} - 67 q^{57} + 22 q^{58} - 44 q^{59} - 2 q^{60} - 26 q^{61} - 2 q^{62} + 37 q^{63} - 4 q^{64} + 2 q^{65} - 8 q^{66} + 37 q^{67} - 15 q^{68} + 88 q^{69} - 9 q^{70} + 19 q^{71} - 10 q^{72} + 22 q^{73} - 4 q^{74} + 2 q^{75} + 18 q^{76} + 28 q^{77} + 23 q^{78} + 30 q^{79} - 24 q^{80} - 26 q^{81} + 37 q^{82} - 11 q^{83} - 14 q^{84} - 6 q^{85} + 16 q^{86} - 26 q^{87} - 5 q^{88} + 30 q^{89} - 4 q^{90} + 36 q^{91} - 10 q^{92} - 98 q^{93} + 4 q^{94} + 3 q^{95} - 2 q^{96} - 39 q^{97} + 41 q^{98} - 31 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).

\(n\) \(87\) \(261\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.623490 0.781831i −0.440874 0.552838i
\(3\) −1.03097 + 1.29280i −0.595232 + 0.746398i −0.984626 0.174673i \(-0.944113\pi\)
0.389394 + 0.921071i \(0.372684\pi\)
\(4\) −0.222521 + 0.974928i −0.111260 + 0.487464i
\(5\) 0.900969 0.433884i 0.402926 0.194039i
\(6\) 1.65355 0.675060
\(7\) −3.40711 −1.28777 −0.643883 0.765124i \(-0.722678\pi\)
−0.643883 + 0.765124i \(0.722678\pi\)
\(8\) 0.900969 0.433884i 0.318541 0.153401i
\(9\) 0.0591384 + 0.259102i 0.0197128 + 0.0863674i
\(10\) −0.900969 0.433884i −0.284911 0.137206i
\(11\) −0.666565 2.92041i −0.200977 0.880538i −0.970343 0.241730i \(-0.922285\pi\)
0.769366 0.638808i \(-0.220572\pi\)
\(12\) −1.03097 1.29280i −0.297616 0.373199i
\(13\) −1.19835 + 0.577095i −0.332363 + 0.160057i −0.592621 0.805482i \(-0.701907\pi\)
0.260258 + 0.965539i \(0.416192\pi\)
\(14\) 2.12430 + 2.66378i 0.567742 + 0.711926i
\(15\) −0.367950 + 1.61209i −0.0950043 + 0.416241i
\(16\) −0.900969 0.433884i −0.225242 0.108471i
\(17\) −1.28393 0.618308i −0.311399 0.149962i 0.271656 0.962394i \(-0.412429\pi\)
−0.583055 + 0.812433i \(0.698143\pi\)
\(18\) 0.165702 0.207784i 0.0390563 0.0489751i
\(19\) 0.589719 2.58373i 0.135291 0.592747i −0.861143 0.508363i \(-0.830251\pi\)
0.996433 0.0843839i \(-0.0268922\pi\)
\(20\) 0.222521 + 0.974928i 0.0497572 + 0.218001i
\(21\) 3.51263 4.40470i 0.766520 0.961185i
\(22\) −1.86767 + 2.34199i −0.398190 + 0.499314i
\(23\) −1.38386 6.06309i −0.288555 1.26424i −0.886509 0.462712i \(-0.846876\pi\)
0.597954 0.801531i \(-0.295981\pi\)
\(24\) −0.367950 + 1.61209i −0.0751075 + 0.329067i
\(25\) 0.623490 0.781831i 0.124698 0.156366i
\(26\) 1.19835 + 0.577095i 0.235016 + 0.113178i
\(27\) −4.86533 2.34302i −0.936334 0.450915i
\(28\) 0.758153 3.32168i 0.143277 0.627739i
\(29\) −0.0758221 0.0950779i −0.0140798 0.0176555i 0.774742 0.632278i \(-0.217880\pi\)
−0.788822 + 0.614622i \(0.789308\pi\)
\(30\) 1.48980 0.717449i 0.271999 0.130988i
\(31\) −4.06742 5.10038i −0.730530 0.916056i 0.268352 0.963321i \(-0.413521\pi\)
−0.998882 + 0.0472652i \(0.984949\pi\)
\(32\) 0.222521 + 0.974928i 0.0393365 + 0.172345i
\(33\) 4.46272 + 2.14913i 0.776860 + 0.374116i
\(34\) 0.317105 + 1.38933i 0.0543830 + 0.238267i
\(35\) −3.06970 + 1.47829i −0.518874 + 0.249876i
\(36\) −0.265765 −0.0442942
\(37\) −7.10154 −1.16749 −0.583743 0.811938i \(-0.698413\pi\)
−0.583743 + 0.811938i \(0.698413\pi\)
\(38\) −2.38772 + 1.14987i −0.387340 + 0.186533i
\(39\) 0.489399 2.14420i 0.0783665 0.343346i
\(40\) 0.623490 0.781831i 0.0985824 0.123618i
\(41\) −0.325939 0.408714i −0.0509031 0.0638304i 0.755728 0.654885i \(-0.227283\pi\)
−0.806631 + 0.591055i \(0.798712\pi\)
\(42\) −5.63383 −0.869319
\(43\) −6.34466 + 1.65688i −0.967552 + 0.252672i
\(44\) 2.99552 0.451591
\(45\) 0.165702 + 0.207784i 0.0247014 + 0.0309746i
\(46\) −3.87749 + 4.86222i −0.571705 + 0.716896i
\(47\) −0.00664289 + 0.0291044i −0.000968965 + 0.00424531i −0.975410 0.220398i \(-0.929264\pi\)
0.974441 + 0.224643i \(0.0721216\pi\)
\(48\) 1.48980 0.717449i 0.215034 0.103555i
\(49\) 4.60838 0.658340
\(50\) −1.00000 −0.141421
\(51\) 2.12305 1.02240i 0.297286 0.143165i
\(52\) −0.295968 1.29672i −0.0410434 0.179823i
\(53\) 4.64400 + 2.23643i 0.637902 + 0.307197i 0.724737 0.689025i \(-0.241961\pi\)
−0.0868354 + 0.996223i \(0.527675\pi\)
\(54\) 1.20164 + 5.26472i 0.163522 + 0.716438i
\(55\) −1.86767 2.34199i −0.251837 0.315794i
\(56\) −3.06970 + 1.47829i −0.410206 + 0.197545i
\(57\) 2.73225 + 3.42614i 0.361896 + 0.453803i
\(58\) −0.0270606 + 0.118560i −0.00355323 + 0.0155677i
\(59\) −0.907394 0.436978i −0.118133 0.0568897i 0.373884 0.927475i \(-0.378026\pi\)
−0.492017 + 0.870586i \(0.663740\pi\)
\(60\) −1.48980 0.717449i −0.192332 0.0926223i
\(61\) 1.93412 2.42531i 0.247639 0.310530i −0.642440 0.766336i \(-0.722078\pi\)
0.890079 + 0.455807i \(0.150649\pi\)
\(62\) −1.45164 + 6.36007i −0.184359 + 0.807730i
\(63\) −0.201491 0.882789i −0.0253854 0.111221i
\(64\) 0.623490 0.781831i 0.0779362 0.0977289i
\(65\) −0.829284 + 1.03989i −0.102860 + 0.128982i
\(66\) −1.10220 4.82906i −0.135672 0.594416i
\(67\) 0.693925 3.04028i 0.0847764 0.371430i −0.914688 0.404161i \(-0.867563\pi\)
0.999464 + 0.0327314i \(0.0104206\pi\)
\(68\) 0.888507 1.11415i 0.107747 0.135111i
\(69\) 9.26509 + 4.46183i 1.11539 + 0.537141i
\(70\) 3.06970 + 1.47829i 0.366899 + 0.176689i
\(71\) −1.41564 + 6.20234i −0.168006 + 0.736082i 0.818787 + 0.574097i \(0.194647\pi\)
−0.986793 + 0.161985i \(0.948210\pi\)
\(72\) 0.165702 + 0.207784i 0.0195282 + 0.0244876i
\(73\) 2.38045 1.14636i 0.278611 0.134172i −0.289361 0.957220i \(-0.593443\pi\)
0.567971 + 0.823048i \(0.307728\pi\)
\(74\) 4.42774 + 5.55221i 0.514714 + 0.645431i
\(75\) 0.367950 + 1.61209i 0.0424872 + 0.186149i
\(76\) 2.38772 + 1.14987i 0.273890 + 0.131899i
\(77\) 2.27106 + 9.95016i 0.258811 + 1.13393i
\(78\) −1.98153 + 0.954257i −0.224365 + 0.108048i
\(79\) 5.72984 0.644658 0.322329 0.946628i \(-0.395534\pi\)
0.322329 + 0.946628i \(0.395534\pi\)
\(80\) −1.00000 −0.111803
\(81\) 7.32674 3.52837i 0.814083 0.392042i
\(82\) −0.116326 + 0.509658i −0.0128461 + 0.0562824i
\(83\) −5.94910 + 7.45993i −0.652998 + 0.818834i −0.992561 0.121750i \(-0.961149\pi\)
0.339563 + 0.940583i \(0.389721\pi\)
\(84\) 3.51263 + 4.40470i 0.383260 + 0.480593i
\(85\) −1.42505 −0.154569
\(86\) 5.25124 + 3.92741i 0.566255 + 0.423503i
\(87\) 0.201087 0.0215588
\(88\) −1.86767 2.34199i −0.199095 0.249657i
\(89\) −7.62823 + 9.56549i −0.808590 + 1.01394i 0.190887 + 0.981612i \(0.438864\pi\)
−0.999477 + 0.0323283i \(0.989708\pi\)
\(90\) 0.0591384 0.259102i 0.00623373 0.0273118i
\(91\) 4.08291 1.96622i 0.428005 0.206116i
\(92\) 6.21902 0.648377
\(93\) 10.7872 1.11858
\(94\) 0.0268965 0.0129527i 0.00277416 0.00133597i
\(95\) −0.589719 2.58373i −0.0605038 0.265085i
\(96\) −1.48980 0.717449i −0.152052 0.0732244i
\(97\) −0.537661 2.35565i −0.0545912 0.239180i 0.940270 0.340430i \(-0.110573\pi\)
−0.994861 + 0.101251i \(0.967716\pi\)
\(98\) −2.87328 3.60297i −0.290245 0.363955i
\(99\) 0.717266 0.345417i 0.0720879 0.0347157i
\(100\) 0.623490 + 0.781831i 0.0623490 + 0.0781831i
\(101\) −2.24607 + 9.84066i −0.223492 + 0.979182i 0.731335 + 0.682019i \(0.238898\pi\)
−0.954827 + 0.297163i \(0.903959\pi\)
\(102\) −2.12305 1.02240i −0.210213 0.101233i
\(103\) 14.3323 + 6.90207i 1.41220 + 0.680082i 0.975597 0.219571i \(-0.0704656\pi\)
0.436607 + 0.899652i \(0.356180\pi\)
\(104\) −0.829284 + 1.03989i −0.0813180 + 0.101970i
\(105\) 1.25364 5.49258i 0.122343 0.536021i
\(106\) −1.14697 5.02521i −0.111404 0.488092i
\(107\) 4.94924 6.20615i 0.478461 0.599971i −0.482759 0.875753i \(-0.660365\pi\)
0.961220 + 0.275782i \(0.0889368\pi\)
\(108\) 3.36692 4.22198i 0.323982 0.406260i
\(109\) −3.77202 16.5263i −0.361294 1.58293i −0.749915 0.661534i \(-0.769906\pi\)
0.388621 0.921398i \(-0.372951\pi\)
\(110\) −0.666565 + 2.92041i −0.0635545 + 0.278451i
\(111\) 7.32150 9.18087i 0.694926 0.871410i
\(112\) 3.06970 + 1.47829i 0.290059 + 0.139685i
\(113\) 9.27644 + 4.46730i 0.872654 + 0.420248i 0.815936 0.578142i \(-0.196222\pi\)
0.0567180 + 0.998390i \(0.481936\pi\)
\(114\) 0.975130 4.27233i 0.0913293 0.400140i
\(115\) −3.87749 4.86222i −0.361578 0.453405i
\(116\) 0.109566 0.0527642i 0.0101730 0.00489904i
\(117\) −0.220395 0.276367i −0.0203755 0.0255501i
\(118\) 0.224108 + 0.981880i 0.0206308 + 0.0903894i
\(119\) 4.37449 + 2.10664i 0.401009 + 0.193116i
\(120\) 0.367950 + 1.61209i 0.0335891 + 0.147163i
\(121\) 1.82615 0.879427i 0.166013 0.0799479i
\(122\) −3.10209 −0.280850
\(123\) 0.864419 0.0779421
\(124\) 5.87759 2.83050i 0.527823 0.254186i
\(125\) 0.222521 0.974928i 0.0199029 0.0872002i
\(126\) −0.564564 + 0.707941i −0.0502954 + 0.0630684i
\(127\) −12.9070 16.1849i −1.14531 1.43617i −0.881867 0.471499i \(-0.843713\pi\)
−0.263443 0.964675i \(-0.584858\pi\)
\(128\) −1.00000 −0.0883883
\(129\) 4.39916 9.91058i 0.387324 0.872578i
\(130\) 1.33007 0.116655
\(131\) 10.4004 + 13.0417i 0.908691 + 1.13946i 0.989758 + 0.142754i \(0.0455958\pi\)
−0.0810670 + 0.996709i \(0.525833\pi\)
\(132\) −3.08830 + 3.87260i −0.268802 + 0.337067i
\(133\) −2.00923 + 8.80303i −0.174223 + 0.763319i
\(134\) −2.80965 + 1.35305i −0.242716 + 0.116886i
\(135\) −5.40011 −0.464768
\(136\) −1.42505 −0.122197
\(137\) −19.0922 + 9.19431i −1.63116 + 0.785523i −0.631205 + 0.775616i \(0.717439\pi\)
−0.999951 + 0.00990728i \(0.996846\pi\)
\(138\) −2.28829 10.0256i −0.194792 0.853439i
\(139\) 3.17116 + 1.52715i 0.268974 + 0.129531i 0.563510 0.826109i \(-0.309451\pi\)
−0.294536 + 0.955641i \(0.595165\pi\)
\(140\) −0.758153 3.32168i −0.0640756 0.280733i
\(141\) −0.0307775 0.0385938i −0.00259193 0.00325018i
\(142\) 5.73182 2.76030i 0.481004 0.231639i
\(143\) 2.48414 + 3.11501i 0.207734 + 0.260490i
\(144\) 0.0591384 0.259102i 0.00492820 0.0215918i
\(145\) −0.109566 0.0527642i −0.00909897 0.00438183i
\(146\) −2.38045 1.14636i −0.197008 0.0948738i
\(147\) −4.75111 + 5.95771i −0.391865 + 0.491383i
\(148\) 1.58024 6.92349i 0.129895 0.569108i
\(149\) −3.80238 16.6593i −0.311503 1.36478i −0.852046 0.523468i \(-0.824638\pi\)
0.540543 0.841317i \(-0.318219\pi\)
\(150\) 1.03097 1.29280i 0.0841786 0.105557i
\(151\) −8.76372 + 10.9894i −0.713181 + 0.894301i −0.997931 0.0643012i \(-0.979518\pi\)
0.284749 + 0.958602i \(0.408090\pi\)
\(152\) −0.589719 2.58373i −0.0478325 0.209568i
\(153\) 0.0842754 0.369235i 0.00681326 0.0298509i
\(154\) 6.36337 7.97941i 0.512775 0.642999i
\(155\) −5.87759 2.83050i −0.472099 0.227351i
\(156\) 1.98153 + 0.954257i 0.158650 + 0.0764017i
\(157\) 0.675811 2.96092i 0.0539356 0.236307i −0.940774 0.339034i \(-0.889900\pi\)
0.994710 + 0.102727i \(0.0327568\pi\)
\(158\) −3.57250 4.47977i −0.284213 0.356391i
\(159\) −7.67909 + 3.69805i −0.608991 + 0.293275i
\(160\) 0.623490 + 0.781831i 0.0492912 + 0.0618092i
\(161\) 4.71496 + 20.6576i 0.371591 + 1.62805i
\(162\) −7.32674 3.52837i −0.575643 0.277215i
\(163\) 3.31057 + 14.5045i 0.259304 + 1.13608i 0.921998 + 0.387194i \(0.126555\pi\)
−0.662695 + 0.748889i \(0.730587\pi\)
\(164\) 0.470995 0.226819i 0.0367785 0.0177116i
\(165\) 4.95325 0.385610
\(166\) 9.54161 0.740572
\(167\) −16.1052 + 7.75587i −1.24626 + 0.600167i −0.936507 0.350649i \(-0.885961\pi\)
−0.309754 + 0.950817i \(0.600247\pi\)
\(168\) 1.25364 5.49258i 0.0967208 0.423761i
\(169\) −7.00236 + 8.78068i −0.538643 + 0.675437i
\(170\) 0.888507 + 1.11415i 0.0681454 + 0.0854516i
\(171\) 0.704324 0.0538610
\(172\) −0.203522 6.55428i −0.0155184 0.499759i
\(173\) 0.129346 0.00983398 0.00491699 0.999988i \(-0.498435\pi\)
0.00491699 + 0.999988i \(0.498435\pi\)
\(174\) −0.125376 0.157216i −0.00950471 0.0119185i
\(175\) −2.12430 + 2.66378i −0.160582 + 0.201363i
\(176\) −0.666565 + 2.92041i −0.0502443 + 0.220134i
\(177\) 1.50042 0.722566i 0.112779 0.0543114i
\(178\) 12.2347 0.917031
\(179\) 9.56173 0.714677 0.357339 0.933975i \(-0.383684\pi\)
0.357339 + 0.933975i \(0.383684\pi\)
\(180\) −0.239446 + 0.115311i −0.0178473 + 0.00859480i
\(181\) −3.33287 14.6023i −0.247730 1.08538i −0.933787 0.357829i \(-0.883517\pi\)
0.686057 0.727548i \(-0.259340\pi\)
\(182\) −4.08291 1.96622i −0.302645 0.145746i
\(183\) 1.14142 + 5.00087i 0.0843759 + 0.369675i
\(184\) −3.87749 4.86222i −0.285853 0.358448i
\(185\) −6.39827 + 3.08124i −0.470410 + 0.226538i
\(186\) −6.72569 8.43375i −0.493151 0.618392i
\(187\) −0.949892 + 4.16175i −0.0694630 + 0.304337i
\(188\) −0.0268965 0.0129527i −0.00196163 0.000944671i
\(189\) 16.5767 + 7.98292i 1.20578 + 0.580672i
\(190\) −1.65235 + 2.07199i −0.119874 + 0.150318i
\(191\) −5.16484 + 22.6286i −0.373715 + 1.63735i 0.342534 + 0.939505i \(0.388715\pi\)
−0.716249 + 0.697845i \(0.754142\pi\)
\(192\) 0.367950 + 1.61209i 0.0265545 + 0.116343i
\(193\) 5.28787 6.63078i 0.380629 0.477294i −0.554204 0.832381i \(-0.686977\pi\)
0.934833 + 0.355087i \(0.115549\pi\)
\(194\) −1.50649 + 1.88908i −0.108160 + 0.135628i
\(195\) −0.489399 2.14420i −0.0350466 0.153549i
\(196\) −1.02546 + 4.49283i −0.0732472 + 0.320917i
\(197\) 8.11984 10.1820i 0.578515 0.725435i −0.403344 0.915048i \(-0.632152\pi\)
0.981859 + 0.189614i \(0.0607236\pi\)
\(198\) −0.717266 0.345417i −0.0509739 0.0245477i
\(199\) −21.2641 10.2402i −1.50737 0.725911i −0.515949 0.856619i \(-0.672561\pi\)
−0.991421 + 0.130708i \(0.958275\pi\)
\(200\) 0.222521 0.974928i 0.0157346 0.0689378i
\(201\) 3.21506 + 4.03156i 0.226773 + 0.284364i
\(202\) 9.09413 4.37950i 0.639861 0.308141i
\(203\) 0.258334 + 0.323941i 0.0181315 + 0.0227362i
\(204\) 0.524349 + 2.29732i 0.0367118 + 0.160845i
\(205\) −0.470995 0.226819i −0.0328957 0.0158417i
\(206\) −3.53979 15.5088i −0.246629 1.08055i
\(207\) 1.48912 0.717123i 0.103501 0.0498435i
\(208\) 1.33007 0.0922237
\(209\) −7.93864 −0.549127
\(210\) −5.07590 + 2.44443i −0.350271 + 0.168681i
\(211\) −0.160784 + 0.704442i −0.0110688 + 0.0484958i −0.980161 0.198204i \(-0.936489\pi\)
0.969092 + 0.246700i \(0.0793462\pi\)
\(212\) −3.21374 + 4.02991i −0.220721 + 0.276775i
\(213\) −6.55889 8.22458i −0.449408 0.563539i
\(214\) −7.93796 −0.542628
\(215\) −4.99745 + 4.24565i −0.340823 + 0.289551i
\(216\) −5.40011 −0.367431
\(217\) 13.8581 + 17.3775i 0.940751 + 1.17966i
\(218\) −10.5690 + 13.2531i −0.715820 + 0.897610i
\(219\) −0.972161 + 4.25932i −0.0656926 + 0.287818i
\(220\) 2.69887 1.29971i 0.181958 0.0876262i
\(221\) 1.89542 0.127500
\(222\) −11.7428 −0.788123
\(223\) −21.2226 + 10.2203i −1.42117 + 0.684401i −0.977333 0.211706i \(-0.932098\pi\)
−0.443839 + 0.896106i \(0.646384\pi\)
\(224\) −0.758153 3.32168i −0.0506562 0.221939i
\(225\) 0.239446 + 0.115311i 0.0159631 + 0.00768742i
\(226\) −2.29109 10.0379i −0.152401 0.667713i
\(227\) −9.43567 11.8320i −0.626267 0.785314i 0.362944 0.931811i \(-0.381772\pi\)
−0.989211 + 0.146497i \(0.953200\pi\)
\(228\) −3.94822 + 1.90136i −0.261477 + 0.125921i
\(229\) −5.86952 7.36015i −0.387869 0.486372i 0.549114 0.835748i \(-0.314965\pi\)
−0.936983 + 0.349375i \(0.886394\pi\)
\(230\) −1.38386 + 6.06309i −0.0912491 + 0.399789i
\(231\) −15.2050 7.32232i −1.00041 0.481774i
\(232\) −0.109566 0.0527642i −0.00719337 0.00346414i
\(233\) −0.0509282 + 0.0638620i −0.00333642 + 0.00418374i −0.783497 0.621396i \(-0.786566\pi\)
0.780160 + 0.625579i \(0.215137\pi\)
\(234\) −0.0786581 + 0.344624i −0.00514204 + 0.0225287i
\(235\) 0.00664289 + 0.0291044i 0.000433334 + 0.00189856i
\(236\) 0.627936 0.787407i 0.0408752 0.0512558i
\(237\) −5.90731 + 7.40754i −0.383721 + 0.481171i
\(238\) −1.08041 4.73358i −0.0700325 0.306832i
\(239\) 3.94004 17.2624i 0.254860 1.11661i −0.671806 0.740727i \(-0.734481\pi\)
0.926666 0.375887i \(-0.122662\pi\)
\(240\) 1.03097 1.29280i 0.0665490 0.0834498i
\(241\) −16.7061 8.04525i −1.07614 0.518240i −0.190057 0.981773i \(-0.560867\pi\)
−0.886080 + 0.463533i \(0.846582\pi\)
\(242\) −1.82615 0.879427i −0.117389 0.0565317i
\(243\) 0.612719 2.68450i 0.0393059 0.172211i
\(244\) 1.93412 + 2.42531i 0.123820 + 0.155265i
\(245\) 4.15200 1.99950i 0.265262 0.127743i
\(246\) −0.538957 0.675830i −0.0343626 0.0430894i
\(247\) 0.784366 + 3.43653i 0.0499080 + 0.218661i
\(248\) −5.87759 2.83050i −0.373227 0.179737i
\(249\) −3.51083 15.3820i −0.222490 0.974793i
\(250\) −0.900969 + 0.433884i −0.0569823 + 0.0274412i
\(251\) −1.58337 −0.0999416 −0.0499708 0.998751i \(-0.515913\pi\)
−0.0499708 + 0.998751i \(0.515913\pi\)
\(252\) 0.905491 0.0570406
\(253\) −16.7843 + 8.08290i −1.05522 + 0.508167i
\(254\) −4.60645 + 20.1822i −0.289034 + 1.26634i
\(255\) 1.46919 1.84231i 0.0920044 0.115370i
\(256\) 0.623490 + 0.781831i 0.0389681 + 0.0488645i
\(257\) 21.5645 1.34516 0.672579 0.740025i \(-0.265187\pi\)
0.672579 + 0.740025i \(0.265187\pi\)
\(258\) −10.4912 + 2.73974i −0.653155 + 0.170569i
\(259\) 24.1957 1.50345
\(260\) −0.829284 1.03989i −0.0514300 0.0644912i
\(261\) 0.0201509 0.0252684i 0.00124731 0.00156408i
\(262\) 3.71188 16.2628i 0.229320 1.00472i
\(263\) 22.0141 10.6014i 1.35745 0.653711i 0.393380 0.919376i \(-0.371306\pi\)
0.964066 + 0.265664i \(0.0855913\pi\)
\(264\) 4.95325 0.304851
\(265\) 5.15445 0.316635
\(266\) 8.13522 3.91772i 0.498802 0.240211i
\(267\) −4.50177 19.7235i −0.275504 1.20706i
\(268\) 2.80965 + 1.35305i 0.171626 + 0.0826509i
\(269\) 0.907995 + 3.97819i 0.0553615 + 0.242554i 0.995036 0.0995153i \(-0.0317292\pi\)
−0.939675 + 0.342070i \(0.888872\pi\)
\(270\) 3.36692 + 4.22198i 0.204904 + 0.256941i
\(271\) −21.0103 + 10.1180i −1.27629 + 0.614627i −0.944433 0.328703i \(-0.893388\pi\)
−0.331854 + 0.943331i \(0.607674\pi\)
\(272\) 0.888507 + 1.11415i 0.0538737 + 0.0675554i
\(273\) −1.66743 + 7.30550i −0.100918 + 0.442149i
\(274\) 19.0922 + 9.19431i 1.15340 + 0.555449i
\(275\) −2.69887 1.29971i −0.162748 0.0783753i
\(276\) −6.41164 + 8.03994i −0.385935 + 0.483948i
\(277\) 6.15293 26.9577i 0.369694 1.61973i −0.357924 0.933751i \(-0.616515\pi\)
0.727618 0.685983i \(-0.240627\pi\)
\(278\) −0.783212 3.43148i −0.0469739 0.205806i
\(279\) 1.08098 1.35551i 0.0647165 0.0811520i
\(280\) −2.12430 + 2.66378i −0.126951 + 0.159192i
\(281\) −2.16042 9.46543i −0.128880 0.564660i −0.997593 0.0693441i \(-0.977909\pi\)
0.868713 0.495316i \(-0.164948\pi\)
\(282\) −0.0109844 + 0.0481256i −0.000654109 + 0.00286584i
\(283\) 3.02734 3.79617i 0.179957 0.225659i −0.683669 0.729792i \(-0.739617\pi\)
0.863626 + 0.504134i \(0.168188\pi\)
\(284\) −5.73182 2.76030i −0.340121 0.163794i
\(285\) 3.94822 + 1.90136i 0.233872 + 0.112627i
\(286\) 0.886578 3.88435i 0.0524244 0.229686i
\(287\) 1.11051 + 1.39253i 0.0655512 + 0.0821986i
\(288\) −0.239446 + 0.115311i −0.0141095 + 0.00679478i
\(289\) −9.33316 11.7034i −0.549009 0.688436i
\(290\) 0.0270606 + 0.118560i 0.00158905 + 0.00696209i
\(291\) 3.59969 + 1.73352i 0.211018 + 0.101621i
\(292\) 0.587923 + 2.57586i 0.0344056 + 0.150741i
\(293\) 27.4321 13.2106i 1.60260 0.771771i 0.602938 0.797788i \(-0.293997\pi\)
0.999661 + 0.0260173i \(0.00828249\pi\)
\(294\) 7.62019 0.444419
\(295\) −1.00713 −0.0586374
\(296\) −6.39827 + 3.08124i −0.371892 + 0.179094i
\(297\) −3.59953 + 15.7706i −0.208866 + 0.915101i
\(298\) −10.6540 + 13.3597i −0.617171 + 0.773909i
\(299\) 5.15733 + 6.46709i 0.298256 + 0.374002i
\(300\) −1.65355 −0.0954679
\(301\) 21.6169 5.64518i 1.24598 0.325383i
\(302\) 14.0559 0.808827
\(303\) −10.4064 13.0492i −0.597830 0.749655i
\(304\) −1.65235 + 2.07199i −0.0947690 + 0.118837i
\(305\) 0.690281 3.02432i 0.0395254 0.173172i
\(306\) −0.341224 + 0.164325i −0.0195065 + 0.00939383i
\(307\) 30.6408 1.74876 0.874381 0.485241i \(-0.161268\pi\)
0.874381 + 0.485241i \(0.161268\pi\)
\(308\) −10.2060 −0.581544
\(309\) −23.6992 + 11.4129i −1.34820 + 0.649259i
\(310\) 1.45164 + 6.36007i 0.0824479 + 0.361228i
\(311\) −23.0073 11.0797i −1.30462 0.628274i −0.353025 0.935614i \(-0.614847\pi\)
−0.951600 + 0.307340i \(0.900561\pi\)
\(312\) −0.489399 2.14420i −0.0277067 0.121391i
\(313\) 5.57413 + 6.98973i 0.315068 + 0.395083i 0.913998 0.405718i \(-0.132979\pi\)
−0.598930 + 0.800801i \(0.704407\pi\)
\(314\) −2.73630 + 1.31773i −0.154419 + 0.0743640i
\(315\) −0.564564 0.707941i −0.0318096 0.0398880i
\(316\) −1.27501 + 5.58618i −0.0717249 + 0.314247i
\(317\) 8.58445 + 4.13406i 0.482151 + 0.232192i 0.659139 0.752021i \(-0.270921\pi\)
−0.176988 + 0.984213i \(0.556635\pi\)
\(318\) 7.67909 + 3.69805i 0.430622 + 0.207377i
\(319\) −0.227126 + 0.284808i −0.0127166 + 0.0159462i
\(320\) 0.222521 0.974928i 0.0124393 0.0545001i
\(321\) 2.92077 + 12.7967i 0.163022 + 0.714245i
\(322\) 13.2110 16.5661i 0.736222 0.923194i
\(323\) −2.35470 + 2.95270i −0.131019 + 0.164292i
\(324\) 1.80956 + 7.92818i 0.100531 + 0.440455i
\(325\) −0.295968 + 1.29672i −0.0164174 + 0.0719291i
\(326\) 9.27600 11.6317i 0.513750 0.644222i
\(327\) 25.2540 + 12.1617i 1.39655 + 0.672543i
\(328\) −0.470995 0.226819i −0.0260064 0.0125240i
\(329\) 0.0226330 0.0991618i 0.00124780 0.00546697i
\(330\) −3.08830 3.87260i −0.170005 0.213180i
\(331\) −8.44409 + 4.06646i −0.464129 + 0.223513i −0.651309 0.758813i \(-0.725780\pi\)
0.187179 + 0.982326i \(0.440065\pi\)
\(332\) −5.94910 7.45993i −0.326499 0.409417i
\(333\) −0.419974 1.84003i −0.0230144 0.100833i
\(334\) 16.1052 + 7.75587i 0.881239 + 0.424382i
\(335\) −0.693925 3.04028i −0.0379132 0.166108i
\(336\) −5.07590 + 2.44443i −0.276913 + 0.133354i
\(337\) 10.4337 0.568359 0.284179 0.958771i \(-0.408279\pi\)
0.284179 + 0.958771i \(0.408279\pi\)
\(338\) 11.2309 0.610881
\(339\) −15.3391 + 7.38691i −0.833104 + 0.401202i
\(340\) 0.317105 1.38933i 0.0171974 0.0753468i
\(341\) −12.1840 + 15.2783i −0.659802 + 0.827366i
\(342\) −0.439139 0.550663i −0.0237459 0.0297764i
\(343\) 8.14852 0.439979
\(344\) −4.99745 + 4.24565i −0.269444 + 0.228910i
\(345\) 10.2835 0.553643
\(346\) −0.0806458 0.101127i −0.00433554 0.00543660i
\(347\) 12.3481 15.4840i 0.662880 0.831226i −0.330773 0.943710i \(-0.607309\pi\)
0.993653 + 0.112485i \(0.0358809\pi\)
\(348\) −0.0447461 + 0.196045i −0.00239864 + 0.0105091i
\(349\) −11.6085 + 5.59037i −0.621390 + 0.299245i −0.717964 0.696080i \(-0.754926\pi\)
0.0965743 + 0.995326i \(0.469211\pi\)
\(350\) 3.40711 0.182118
\(351\) 7.18252 0.383375
\(352\) 2.69887 1.29971i 0.143850 0.0692746i
\(353\) −4.66603 20.4432i −0.248348 1.08808i −0.933188 0.359390i \(-0.882985\pi\)
0.684840 0.728694i \(-0.259872\pi\)
\(354\) −1.50042 0.722566i −0.0797466 0.0384039i
\(355\) 1.41564 + 6.20234i 0.0751345 + 0.329186i
\(356\) −7.62823 9.56549i −0.404295 0.506970i
\(357\) −7.23344 + 3.48344i −0.382834 + 0.184363i
\(358\) −5.96164 7.47566i −0.315083 0.395101i
\(359\) 0.399309 1.74949i 0.0210747 0.0923344i −0.963297 0.268439i \(-0.913492\pi\)
0.984372 + 0.176104i \(0.0563495\pi\)
\(360\) 0.239446 + 0.115311i 0.0126199 + 0.00607744i
\(361\) 10.7905 + 5.19645i 0.567923 + 0.273497i
\(362\) −9.33849 + 11.7101i −0.490820 + 0.615469i
\(363\) −0.745787 + 3.26751i −0.0391437 + 0.171500i
\(364\) 1.00839 + 4.41807i 0.0528543 + 0.231570i
\(365\) 1.64732 2.06568i 0.0862248 0.108123i
\(366\) 3.19817 4.01038i 0.167171 0.209626i
\(367\) 6.40854 + 28.0776i 0.334523 + 1.46564i 0.810269 + 0.586058i \(0.199321\pi\)
−0.475746 + 0.879583i \(0.657822\pi\)
\(368\) −1.38386 + 6.06309i −0.0721388 + 0.316061i
\(369\) 0.0866233 0.108622i 0.00450943 0.00565464i
\(370\) 6.39827 + 3.08124i 0.332630 + 0.160186i
\(371\) −15.8226 7.61976i −0.821468 0.395598i
\(372\) −2.40037 + 10.5167i −0.124453 + 0.545266i
\(373\) −13.4338 16.8455i −0.695577 0.872226i 0.301107 0.953590i \(-0.402644\pi\)
−0.996684 + 0.0813643i \(0.974072\pi\)
\(374\) 3.84604 1.85215i 0.198874 0.0957726i
\(375\) 1.03097 + 1.29280i 0.0532392 + 0.0667599i
\(376\) 0.00664289 + 0.0291044i 0.000342581 + 0.00150094i
\(377\) 0.145730 + 0.0701801i 0.00750550 + 0.00361446i
\(378\) −4.09411 17.9375i −0.210578 0.922604i
\(379\) 3.66291 1.76396i 0.188151 0.0906088i −0.337436 0.941348i \(-0.609560\pi\)
0.525588 + 0.850740i \(0.323846\pi\)
\(380\) 2.65017 0.135951
\(381\) 34.2305 1.75368
\(382\) 20.9120 10.0707i 1.06995 0.515261i
\(383\) 2.33851 10.2457i 0.119492 0.523531i −0.879383 0.476115i \(-0.842044\pi\)
0.998875 0.0474152i \(-0.0150984\pi\)
\(384\) 1.03097 1.29280i 0.0526116 0.0659729i
\(385\) 6.36337 + 7.97941i 0.324307 + 0.406668i
\(386\) −8.48108 −0.431676
\(387\) −0.804515 1.54593i −0.0408958 0.0785840i
\(388\) 2.41623 0.122665
\(389\) −2.12507 2.66475i −0.107745 0.135108i 0.725035 0.688712i \(-0.241824\pi\)
−0.832780 + 0.553604i \(0.813252\pi\)
\(390\) −1.37126 + 1.71951i −0.0694367 + 0.0870708i
\(391\) −1.97208 + 8.64024i −0.0997323 + 0.436956i
\(392\) 4.15200 1.99950i 0.209708 0.100990i
\(393\) −27.5829 −1.39138
\(394\) −13.0232 −0.656100
\(395\) 5.16241 2.48609i 0.259749 0.125089i
\(396\) 0.177150 + 0.776145i 0.00890212 + 0.0390028i
\(397\) 8.33113 + 4.01206i 0.418127 + 0.201360i 0.631105 0.775698i \(-0.282602\pi\)
−0.212977 + 0.977057i \(0.568316\pi\)
\(398\) 5.25179 + 23.0096i 0.263248 + 1.15337i
\(399\) −9.30908 11.6732i −0.466037 0.584392i
\(400\) −0.900969 + 0.433884i −0.0450484 + 0.0216942i
\(401\) 14.9050 + 18.6903i 0.744320 + 0.933348i 0.999437 0.0335621i \(-0.0106851\pi\)
−0.255116 + 0.966910i \(0.582114\pi\)
\(402\) 1.14744 5.02727i 0.0572292 0.250737i
\(403\) 7.81760 + 3.76476i 0.389422 + 0.187536i
\(404\) −9.09413 4.37950i −0.452450 0.217888i
\(405\) 5.07026 6.35791i 0.251943 0.315927i
\(406\) 0.0921983 0.403947i 0.00457573 0.0200476i
\(407\) 4.73364 + 20.7394i 0.234638 + 1.02802i
\(408\) 1.46919 1.84231i 0.0727359 0.0912079i
\(409\) −4.43750 + 5.56445i −0.219420 + 0.275144i −0.879343 0.476189i \(-0.842018\pi\)
0.659922 + 0.751334i \(0.270589\pi\)
\(410\) 0.116326 + 0.509658i 0.00574494 + 0.0251702i
\(411\) 7.79713 34.1615i 0.384604 1.68506i
\(412\) −9.91826 + 12.4371i −0.488638 + 0.612732i
\(413\) 3.09159 + 1.48883i 0.152127 + 0.0732605i
\(414\) −1.48912 0.717123i −0.0731863 0.0352447i
\(415\) −2.12321 + 9.30238i −0.104224 + 0.456636i
\(416\) −0.829284 1.03989i −0.0406590 0.0509848i
\(417\) −5.24368 + 2.52522i −0.256784 + 0.123661i
\(418\) 4.94966 + 6.20667i 0.242096 + 0.303578i
\(419\) 0.503622 + 2.20651i 0.0246035 + 0.107795i 0.985739 0.168283i \(-0.0538223\pi\)
−0.961135 + 0.276078i \(0.910965\pi\)
\(420\) 5.07590 + 2.44443i 0.247679 + 0.119276i
\(421\) −4.54261 19.9025i −0.221393 0.969987i −0.956430 0.291960i \(-0.905693\pi\)
0.735037 0.678027i \(-0.237165\pi\)
\(422\) 0.651002 0.313506i 0.0316903 0.0152612i
\(423\) −0.00793386 −0.000385757
\(424\) 5.15445 0.250322
\(425\) −1.28393 + 0.618308i −0.0622798 + 0.0299923i
\(426\) −2.34084 + 10.2559i −0.113414 + 0.496899i
\(427\) −6.58977 + 8.26331i −0.318901 + 0.399889i
\(428\) 4.94924 + 6.20615i 0.239231 + 0.299986i
\(429\) −6.58816 −0.318079
\(430\) 6.43524 + 1.26005i 0.310335 + 0.0607648i
\(431\) 19.4888 0.938742 0.469371 0.883001i \(-0.344481\pi\)
0.469371 + 0.883001i \(0.344481\pi\)
\(432\) 3.36692 + 4.22198i 0.161991 + 0.203130i
\(433\) −17.9085 + 22.4566i −0.860629 + 1.07920i 0.135455 + 0.990784i \(0.456751\pi\)
−0.996084 + 0.0884117i \(0.971821\pi\)
\(434\) 4.94591 21.6694i 0.237411 1.04017i
\(435\) 0.181173 0.0872484i 0.00868659 0.00418324i
\(436\) 16.9513 0.811820
\(437\) −16.4815 −0.788415
\(438\) 3.93620 1.89557i 0.188079 0.0905740i
\(439\) 3.67775 + 16.1133i 0.175530 + 0.769045i 0.983659 + 0.180041i \(0.0576229\pi\)
−0.808130 + 0.589005i \(0.799520\pi\)
\(440\) −2.69887 1.29971i −0.128664 0.0619611i
\(441\) 0.272532 + 1.19404i 0.0129777 + 0.0568591i
\(442\) −1.18178 1.48190i −0.0562113 0.0704868i
\(443\) 5.19543 2.50199i 0.246842 0.118873i −0.306372 0.951912i \(-0.599115\pi\)
0.553215 + 0.833039i \(0.313401\pi\)
\(444\) 7.32150 + 9.18087i 0.347463 + 0.435705i
\(445\) −2.72248 + 11.9280i −0.129058 + 0.565440i
\(446\) 21.2226 + 10.2203i 1.00492 + 0.483944i
\(447\) 25.4573 + 12.2596i 1.20409 + 0.579859i
\(448\) −2.12430 + 2.66378i −0.100364 + 0.125852i
\(449\) 0.377098 1.65217i 0.0177964 0.0779709i −0.965250 0.261328i \(-0.915839\pi\)
0.983046 + 0.183357i \(0.0586966\pi\)
\(450\) −0.0591384 0.259102i −0.00278781 0.0122142i
\(451\) −0.976355 + 1.22431i −0.0459748 + 0.0576506i
\(452\) −6.41950 + 8.04979i −0.301948 + 0.378630i
\(453\) −5.17187 22.6594i −0.242996 1.06463i
\(454\) −3.36755 + 14.7542i −0.158047 + 0.692449i
\(455\) 2.82546 3.54301i 0.132460 0.166099i
\(456\) 3.94822 + 1.90136i 0.184892 + 0.0890395i
\(457\) −16.9037 8.14038i −0.790720 0.380791i −0.00548235 0.999985i \(-0.501745\pi\)
−0.785238 + 0.619194i \(0.787459\pi\)
\(458\) −2.09481 + 9.17796i −0.0978840 + 0.428858i
\(459\) 4.79804 + 6.01655i 0.223953 + 0.280829i
\(460\) 5.60314 2.69833i 0.261248 0.125810i
\(461\) 3.36687 + 4.22192i 0.156811 + 0.196634i 0.854030 0.520223i \(-0.174151\pi\)
−0.697220 + 0.716858i \(0.745580\pi\)
\(462\) 3.75532 + 16.4531i 0.174713 + 0.765468i
\(463\) 6.71546 + 3.23400i 0.312094 + 0.150297i 0.583373 0.812204i \(-0.301732\pi\)
−0.271279 + 0.962501i \(0.587447\pi\)
\(464\) 0.0270606 + 0.118560i 0.00125626 + 0.00550402i
\(465\) 9.71890 4.68038i 0.450703 0.217047i
\(466\) 0.0816826 0.00378387
\(467\) 27.6906 1.28137 0.640684 0.767805i \(-0.278651\pi\)
0.640684 + 0.767805i \(0.278651\pi\)
\(468\) 0.318480 0.153372i 0.0147217 0.00708962i
\(469\) −2.36428 + 10.3586i −0.109172 + 0.478314i
\(470\) 0.0186130 0.0233399i 0.000858552 0.00107659i
\(471\) 3.13113 + 3.92632i 0.144275 + 0.180915i
\(472\) −1.00713 −0.0463570
\(473\) 9.06792 + 17.4246i 0.416943 + 0.801185i
\(474\) 9.47459 0.435182
\(475\) −1.65235 2.07199i −0.0758152 0.0950693i
\(476\) −3.02724 + 3.79604i −0.138753 + 0.173991i
\(477\) −0.304826 + 1.33553i −0.0139570 + 0.0611496i
\(478\) −15.9529 + 7.68250i −0.729668 + 0.351390i
\(479\) −34.4958 −1.57615 −0.788076 0.615578i \(-0.788923\pi\)
−0.788076 + 0.615578i \(0.788923\pi\)
\(480\) −1.65355 −0.0754740
\(481\) 8.51014 4.09827i 0.388029 0.186865i
\(482\) 4.12607 + 18.0775i 0.187938 + 0.823408i
\(483\) −31.5671 15.2019i −1.43635 0.691712i
\(484\) 0.451021 + 1.97605i 0.0205010 + 0.0898206i
\(485\) −1.50649 1.88908i −0.0684063 0.0857788i
\(486\) −2.48085 + 1.19471i −0.112534 + 0.0541933i
\(487\) −20.6707 25.9203i −0.936681 1.17456i −0.984443 0.175702i \(-0.943780\pi\)
0.0477625 0.998859i \(-0.484791\pi\)
\(488\) 0.690281 3.02432i 0.0312475 0.136904i
\(489\) −22.1646 10.6739i −1.00232 0.482690i
\(490\) −4.15200 1.99950i −0.187568 0.0903282i
\(491\) −17.9973 + 22.5679i −0.812207 + 1.01847i 0.187140 + 0.982333i \(0.440078\pi\)
−0.999347 + 0.0361416i \(0.988493\pi\)
\(492\) −0.192351 + 0.842747i −0.00867187 + 0.0379940i
\(493\) 0.0385628 + 0.168955i 0.00173678 + 0.00760934i
\(494\) 2.19774 2.75588i 0.0988812 0.123993i
\(495\) 0.496363 0.622420i 0.0223099 0.0279757i
\(496\) 1.45164 + 6.36007i 0.0651808 + 0.285576i
\(497\) 4.82325 21.1320i 0.216352 0.947901i
\(498\) −9.83714 + 12.3354i −0.440813 + 0.552762i
\(499\) 25.2326 + 12.1514i 1.12957 + 0.543971i 0.902835 0.429986i \(-0.141482\pi\)
0.226732 + 0.973957i \(0.427196\pi\)
\(500\) 0.900969 + 0.433884i 0.0402926 + 0.0194039i
\(501\) 6.57728 28.8169i 0.293851 1.28745i
\(502\) 0.987217 + 1.23793i 0.0440616 + 0.0552515i
\(503\) 18.2058 8.76746i 0.811757 0.390922i 0.0185153 0.999829i \(-0.494106\pi\)
0.793242 + 0.608907i \(0.208392\pi\)
\(504\) −0.564564 0.707941i −0.0251477 0.0315342i
\(505\) 2.24607 + 9.84066i 0.0999486 + 0.437903i
\(506\) 16.7843 + 8.08290i 0.746154 + 0.359329i
\(507\) −4.13242 18.1053i −0.183527 0.804084i
\(508\) 18.6511 8.98192i 0.827511 0.398508i
\(509\) 18.6061 0.824703 0.412352 0.911025i \(-0.364708\pi\)
0.412352 + 0.911025i \(0.364708\pi\)
\(510\) −2.35640 −0.104343
\(511\) −8.11045 + 3.90579i −0.358785 + 0.172782i
\(512\) 0.222521 0.974928i 0.00983413 0.0430861i
\(513\) −8.92290 + 11.1890i −0.393956 + 0.494005i
\(514\) −13.4453 16.8598i −0.593045 0.743655i
\(515\) 15.9077 0.700975
\(516\) 8.68319 + 6.49417i 0.382256 + 0.285890i
\(517\) 0.0894248 0.00393290
\(518\) −15.0858 18.9170i −0.662831 0.831164i
\(519\) −0.133352 + 0.167218i −0.00585350 + 0.00734006i
\(520\) −0.295968 + 1.29672i −0.0129791 + 0.0568650i
\(521\) −27.4146 + 13.2022i −1.20106 + 0.578399i −0.923977 0.382448i \(-0.875081\pi\)
−0.277080 + 0.960847i \(0.589367\pi\)
\(522\) −0.0323195 −0.00141459
\(523\) −14.1270 −0.617733 −0.308866 0.951105i \(-0.599950\pi\)
−0.308866 + 0.951105i \(0.599950\pi\)
\(524\) −15.0291 + 7.23762i −0.656548 + 0.316177i
\(525\) −1.25364 5.49258i −0.0547135 0.239716i
\(526\) −22.0141 10.6014i −0.959859 0.462244i
\(527\) 2.06867 + 9.06345i 0.0901128 + 0.394810i
\(528\) −3.08830 3.87260i −0.134401 0.168533i
\(529\) −14.1238 + 6.80164i −0.614076 + 0.295724i
\(530\) −3.21374 4.02991i −0.139596 0.175048i
\(531\) 0.0595601 0.260950i 0.00258469 0.0113243i
\(532\) −8.13522 3.91772i −0.352707 0.169855i
\(533\) 0.626456 + 0.301685i 0.0271348 + 0.0130674i
\(534\) −12.6137 + 15.8170i −0.545847 + 0.684470i
\(535\) 1.76636 7.73894i 0.0763665 0.334584i
\(536\) −0.693925 3.04028i −0.0299730 0.131320i
\(537\) −9.85788 + 12.3614i −0.425399 + 0.533434i
\(538\) 2.54415 3.19026i 0.109686 0.137542i
\(539\) −3.07178 13.4584i −0.132311 0.579693i
\(540\) 1.20164 5.26472i 0.0517103 0.226558i
\(541\) 23.0711 28.9303i 0.991905 1.24381i 0.0221429 0.999755i \(-0.492951\pi\)
0.969762 0.244054i \(-0.0784775\pi\)
\(542\) 21.0103 + 10.1180i 0.902471 + 0.434607i
\(543\) 22.3139 + 10.7458i 0.957580 + 0.461146i
\(544\) 0.317105 1.38933i 0.0135957 0.0595669i
\(545\) −10.5690 13.2531i −0.452725 0.567699i
\(546\) 6.75130 3.25125i 0.288929 0.139141i
\(547\) −20.0937 25.1967i −0.859143 1.07733i −0.996228 0.0867720i \(-0.972345\pi\)
0.137085 0.990559i \(-0.456227\pi\)
\(548\) −4.71538 20.6594i −0.201431 0.882527i
\(549\) 0.742785 + 0.357706i 0.0317013 + 0.0152665i
\(550\) 0.666565 + 2.92041i 0.0284224 + 0.124527i
\(551\) −0.290369 + 0.139834i −0.0123701 + 0.00595714i
\(552\) 10.2835 0.437694
\(553\) −19.5222 −0.830168
\(554\) −24.9127 + 11.9973i −1.05844 + 0.509717i
\(555\) 2.61301 11.4484i 0.110916 0.485956i
\(556\) −2.19451 + 2.75183i −0.0930680 + 0.116704i
\(557\) −3.97353 4.98265i −0.168364 0.211122i 0.690491 0.723341i \(-0.257395\pi\)
−0.858854 + 0.512220i \(0.828823\pi\)
\(558\) −1.73376 −0.0733957
\(559\) 6.64695 5.64700i 0.281136 0.238843i
\(560\) 3.40711 0.143977
\(561\) −4.40099 5.51867i −0.185810 0.232999i
\(562\) −6.05337 + 7.59069i −0.255346 + 0.320194i
\(563\) 4.94765 21.6771i 0.208519 0.913580i −0.757035 0.653375i \(-0.773353\pi\)
0.965553 0.260205i \(-0.0837902\pi\)
\(564\) 0.0444748 0.0214179i 0.00187273 0.000901857i
\(565\) 10.2961 0.433159
\(566\) −4.85548 −0.204091
\(567\) −24.9630 + 12.0215i −1.04835 + 0.504858i
\(568\) 1.41564 + 6.20234i 0.0593991 + 0.260244i
\(569\) −21.0358 10.1303i −0.881866 0.424684i −0.0625601 0.998041i \(-0.519927\pi\)
−0.819306 + 0.573357i \(0.805641\pi\)
\(570\) −0.975130 4.27233i −0.0408437 0.178948i
\(571\) −15.9496 20.0002i −0.667470 0.836981i 0.326663 0.945141i \(-0.394076\pi\)
−0.994134 + 0.108160i \(0.965504\pi\)
\(572\) −3.58968 + 1.72870i −0.150092 + 0.0722805i
\(573\) −23.9295 30.0066i −0.999668 1.25354i
\(574\) 0.396336 1.73646i 0.0165427 0.0724785i
\(575\) −5.60314 2.69833i −0.233667 0.112528i
\(576\) 0.239446 + 0.115311i 0.00997693 + 0.00480464i
\(577\) −22.9817 + 28.8181i −0.956741 + 1.19971i 0.0230593 + 0.999734i \(0.492659\pi\)
−0.979800 + 0.199981i \(0.935912\pi\)
\(578\) −3.33096 + 14.5939i −0.138550 + 0.607027i
\(579\) 3.12061 + 13.6723i 0.129688 + 0.568202i
\(580\) 0.0758221 0.0950779i 0.00314834 0.00394789i
\(581\) 20.2692 25.4168i 0.840908 1.05447i
\(582\) −0.889051 3.89519i −0.0368524 0.161461i
\(583\) 3.43578 15.0531i 0.142295 0.623436i
\(584\) 1.64732 2.06568i 0.0681667 0.0854784i
\(585\) −0.318480 0.153372i −0.0131675 0.00634115i
\(586\) −27.4321 13.2106i −1.13321 0.545725i
\(587\) 1.42381 6.23813i 0.0587670 0.257475i −0.937007 0.349310i \(-0.886416\pi\)
0.995774 + 0.0918348i \(0.0292732\pi\)
\(588\) −4.75111 5.95771i −0.195933 0.245692i
\(589\) −15.5766 + 7.50130i −0.641823 + 0.309086i
\(590\) 0.627936 + 0.787407i 0.0258517 + 0.0324170i
\(591\) 4.79189 + 20.9947i 0.197112 + 0.863605i
\(592\) 6.39827 + 3.08124i 0.262967 + 0.126638i
\(593\) 9.48638 + 41.5625i 0.389559 + 1.70677i 0.666181 + 0.745790i \(0.267928\pi\)
−0.276622 + 0.960979i \(0.589215\pi\)
\(594\) 14.5742 7.01856i 0.597986 0.287975i
\(595\) 4.85531 0.199048
\(596\) 17.0877 0.699941
\(597\) 35.1612 16.9328i 1.43905 0.693012i
\(598\) 1.84063 8.06433i 0.0752690 0.329775i
\(599\) 10.7127 13.4333i 0.437708 0.548869i −0.513229 0.858252i \(-0.671551\pi\)
0.950938 + 0.309383i \(0.100122\pi\)
\(600\) 1.03097 + 1.29280i 0.0420893 + 0.0527783i
\(601\) 39.1924 1.59869 0.799346 0.600871i \(-0.205180\pi\)
0.799346 + 0.600871i \(0.205180\pi\)
\(602\) −17.8915 13.3811i −0.729204 0.545373i
\(603\) 0.828782 0.0337506
\(604\) −8.76372 10.9894i −0.356591 0.447150i
\(605\) 1.26373 1.58467i 0.0513781 0.0644261i
\(606\) −3.71399 + 16.2720i −0.150870 + 0.661006i
\(607\) 23.8880 11.5039i 0.969584 0.466927i 0.119074 0.992885i \(-0.462007\pi\)
0.850510 + 0.525958i \(0.176293\pi\)
\(608\) 2.65017 0.107479
\(609\) −0.685125 −0.0277627
\(610\) −2.79489 + 1.34595i −0.113162 + 0.0544958i
\(611\) −0.00883550 0.0387108i −0.000357446 0.00156607i
\(612\) 0.341224 + 0.164325i 0.0137932 + 0.00664244i
\(613\) −2.20464 9.65916i −0.0890446 0.390130i 0.910692 0.413086i \(-0.135549\pi\)
−0.999736 + 0.0229565i \(0.992692\pi\)
\(614\) −19.1042 23.9559i −0.770983 0.966782i
\(615\) 0.778815 0.375058i 0.0314049 0.0151238i
\(616\) 6.36337 + 7.97941i 0.256387 + 0.321500i
\(617\) −3.81833 + 16.7292i −0.153720 + 0.673492i 0.838064 + 0.545571i \(0.183687\pi\)
−0.991784 + 0.127920i \(0.959170\pi\)
\(618\) 23.6992 + 11.4129i 0.953322 + 0.459096i
\(619\) 27.7289 + 13.3535i 1.11452 + 0.536724i 0.898195 0.439598i \(-0.144879\pi\)
0.216324 + 0.976322i \(0.430593\pi\)
\(620\) 4.06742 5.10038i 0.163351 0.204836i
\(621\) −7.47301 + 32.7414i −0.299882 + 1.31387i
\(622\) 5.68234 + 24.8959i 0.227841 + 0.998236i
\(623\) 25.9902 32.5907i 1.04127 1.30572i
\(624\) −1.37126 + 1.71951i −0.0548945 + 0.0688355i
\(625\) −0.222521 0.974928i −0.00890084 0.0389971i
\(626\) 1.98938 8.71606i 0.0795117 0.348364i
\(627\) 8.18452 10.2631i 0.326858 0.409867i
\(628\) 2.73630 + 1.31773i 0.109190 + 0.0525833i
\(629\) 9.11789 + 4.39094i 0.363554 + 0.175078i
\(630\) −0.201491 + 0.882789i −0.00802758 + 0.0351711i
\(631\) −15.9427 19.9915i −0.634667 0.795847i 0.355658 0.934616i \(-0.384257\pi\)
−0.990325 + 0.138769i \(0.955685\pi\)
\(632\) 5.16241 2.48609i 0.205350 0.0988912i
\(633\) −0.744938 0.934122i −0.0296086 0.0371280i
\(634\) −2.12019 9.28914i −0.0842033 0.368919i
\(635\) −18.6511 8.98192i −0.740148 0.356436i
\(636\) −1.89658 8.30945i −0.0752042 0.329491i
\(637\) −5.52245 + 2.65947i −0.218807 + 0.105372i
\(638\) 0.364283 0.0144221
\(639\) −1.69076 −0.0668853
\(640\) −0.900969 + 0.433884i −0.0356139 + 0.0171508i
\(641\) −1.25676 + 5.50623i −0.0496391 + 0.217483i −0.993664 0.112391i \(-0.964149\pi\)
0.944025 + 0.329874i \(0.107006\pi\)
\(642\) 8.18383 10.2622i 0.322990 0.405016i
\(643\) 28.8586 + 36.1876i 1.13807 + 1.42710i 0.888580 + 0.458723i \(0.151693\pi\)
0.249494 + 0.968376i \(0.419736\pi\)
\(644\) −21.1889 −0.834958
\(645\) −0.336534 10.8378i −0.0132510 0.426740i
\(646\) 3.77664 0.148590
\(647\) 29.6843 + 37.2229i 1.16701 + 1.46338i 0.858982 + 0.512005i \(0.171097\pi\)
0.308027 + 0.951378i \(0.400331\pi\)
\(648\) 5.07026 6.35791i 0.199179 0.249762i
\(649\) −0.671319 + 2.94124i −0.0263516 + 0.115454i
\(650\) 1.19835 0.577095i 0.0470032 0.0226355i
\(651\) −36.7530 −1.44046
\(652\) −14.8775 −0.582650
\(653\) −29.3219 + 14.1207i −1.14745 + 0.552584i −0.908268 0.418390i \(-0.862595\pi\)
−0.239186 + 0.970974i \(0.576880\pi\)
\(654\) −6.23723 27.3271i −0.243895 1.06857i
\(655\) 15.0291 + 7.23762i 0.587235 + 0.282797i
\(656\) 0.116326 + 0.509658i 0.00454177 + 0.0198988i
\(657\) 0.437802 + 0.548986i 0.0170803 + 0.0214180i
\(658\) −0.0916393 + 0.0441311i −0.00357247 + 0.00172041i
\(659\) −15.3941 19.3035i −0.599668 0.751959i 0.385658 0.922642i \(-0.373974\pi\)
−0.985326 + 0.170682i \(0.945403\pi\)
\(660\) −1.10220 + 4.82906i −0.0429031 + 0.187971i
\(661\) −26.9626 12.9845i −1.04872 0.505039i −0.171533 0.985178i \(-0.554872\pi\)
−0.877192 + 0.480139i \(0.840586\pi\)
\(662\) 8.44409 + 4.06646i 0.328189 + 0.158047i
\(663\) −1.95413 + 2.45040i −0.0758920 + 0.0951656i
\(664\) −2.12321 + 9.30238i −0.0823964 + 0.361002i
\(665\) 2.00923 + 8.80303i 0.0779148 + 0.341367i
\(666\) −1.17674 + 1.47559i −0.0455978 + 0.0571778i
\(667\) −0.471539 + 0.591291i −0.0182581 + 0.0228949i
\(668\) −3.97766 17.4273i −0.153900 0.674282i
\(669\) 8.66719 37.9734i 0.335093 1.46814i
\(670\) −1.94433 + 2.43812i −0.0751162 + 0.0941927i
\(671\) −8.37214 4.03181i −0.323203 0.155646i
\(672\) 5.07590 + 2.44443i 0.195807 + 0.0942958i
\(673\) −3.67029 + 16.0806i −0.141479 + 0.619861i 0.853613 + 0.520908i \(0.174406\pi\)
−0.995092 + 0.0989529i \(0.968451\pi\)
\(674\) −6.50529 8.15738i −0.250575 0.314211i
\(675\) −4.86533 + 2.34302i −0.187267 + 0.0901829i
\(676\) −7.00236 8.78068i −0.269322 0.337719i
\(677\) −4.77889 20.9377i −0.183668 0.804701i −0.979865 0.199663i \(-0.936015\pi\)
0.796197 0.605038i \(-0.206842\pi\)
\(678\) 15.3391 + 7.38691i 0.589094 + 0.283693i
\(679\) 1.83187 + 8.02594i 0.0703007 + 0.308007i
\(680\) −1.28393 + 0.618308i −0.0492365 + 0.0237110i
\(681\) 25.0243 0.958931
\(682\) 19.5417 0.748289
\(683\) −41.7283 + 20.0953i −1.59669 + 0.768925i −0.999451 0.0331387i \(-0.989450\pi\)
−0.597238 + 0.802064i \(0.703735\pi\)
\(684\) −0.156727 + 0.686665i −0.00599260 + 0.0262553i
\(685\) −13.2122 + 16.5676i −0.504812 + 0.633015i
\(686\) −5.08052 6.37077i −0.193975 0.243237i
\(687\) 15.5665 0.593900
\(688\) 6.43524 + 1.26005i 0.245341 + 0.0480388i
\(689\) −6.85577 −0.261184
\(690\) −6.41164 8.03994i −0.244087 0.306075i
\(691\) 10.7514 13.4818i 0.409001 0.512871i −0.534080 0.845434i \(-0.679342\pi\)
0.943081 + 0.332563i \(0.107913\pi\)
\(692\) −0.0287821 + 0.126103i −0.00109413 + 0.00479371i
\(693\) −2.44380 + 1.17687i −0.0928323 + 0.0447057i
\(694\) −19.8048 −0.751780
\(695\) 3.51972 0.133511
\(696\) 0.181173 0.0872484i 0.00686735 0.00330714i
\(697\) 0.165771 + 0.726291i 0.00627903 + 0.0275102i
\(698\) 11.6085 + 5.59037i 0.439389 + 0.211599i
\(699\) −0.0300551 0.131680i −0.00113679 0.00498059i
\(700\) −2.12430 2.66378i −0.0802909 0.100682i
\(701\) 17.8343 8.58856i 0.673593 0.324385i −0.0656319 0.997844i \(-0.520906\pi\)
0.739225 + 0.673459i \(0.235192\pi\)
\(702\) −4.47823 5.61552i −0.169020 0.211944i
\(703\) −4.18791 + 18.3484i −0.157950 + 0.692025i
\(704\) −2.69887 1.29971i −0.101717 0.0489845i
\(705\) −0.0444748 0.0214179i −0.00167502 0.000806646i
\(706\) −13.0739 + 16.3942i −0.492044 + 0.617004i
\(707\) 7.65258 33.5282i 0.287805 1.26096i
\(708\) 0.370574 + 1.62359i 0.0139270 + 0.0610183i
\(709\) −2.36991 + 2.97177i −0.0890037 + 0.111607i −0.824339 0.566096i \(-0.808453\pi\)
0.735336 + 0.677703i \(0.237025\pi\)
\(710\) 3.96654 4.97389i 0.148862 0.186667i
\(711\) 0.338854 + 1.48461i 0.0127080 + 0.0556774i
\(712\) −2.72248 + 11.9280i −0.102029 + 0.447020i
\(713\) −25.2953 + 31.7194i −0.947318 + 1.18790i
\(714\) 7.23344 + 3.48344i 0.270705 + 0.130365i
\(715\) 3.58968 + 1.72870i 0.134246 + 0.0646497i
\(716\) −2.12768 + 9.32200i −0.0795153 + 0.348379i
\(717\) 18.2548 + 22.8908i 0.681737 + 0.854872i
\(718\) −1.61677 + 0.778595i −0.0603373 + 0.0290569i
\(719\) −3.51500 4.40768i −0.131088 0.164379i 0.711956 0.702224i \(-0.247810\pi\)
−0.843043 + 0.537846i \(0.819238\pi\)
\(720\) −0.0591384 0.259102i −0.00220396 0.00965617i
\(721\) −48.8317 23.5161i −1.81859 0.875785i
\(722\) −2.66504 11.6763i −0.0991826 0.434547i
\(723\) 27.6245 13.3032i 1.02736 0.494753i
\(724\) 14.9778 0.556645
\(725\) −0.121609 −0.00451645
\(726\) 3.01963 1.45418i 0.112069 0.0539696i
\(727\) 8.89138 38.9557i 0.329763 1.44479i −0.489818 0.871825i \(-0.662937\pi\)
0.819582 0.572963i \(-0.194206\pi\)
\(728\) 2.82546 3.54301i 0.104719 0.131313i
\(729\) 18.0496 + 22.6335i 0.668504 + 0.838278i
\(730\) −2.64210 −0.0977886
\(731\) 9.17057 + 1.79563i 0.339186 + 0.0664139i
\(732\) −5.12947 −0.189591
\(733\) 3.01409 + 3.77955i 0.111328 + 0.139601i 0.834373 0.551200i \(-0.185830\pi\)
−0.723045 + 0.690801i \(0.757258\pi\)
\(734\) 17.9563 22.5165i 0.662780 0.831100i
\(735\) −1.69565 + 7.42914i −0.0625451 + 0.274028i
\(736\) 5.60314 2.69833i 0.206535 0.0994618i
\(737\) −9.34144 −0.344096
\(738\) −0.138933 −0.00511419
\(739\) −20.7406 + 9.98814i −0.762955 + 0.367420i −0.774550 0.632513i \(-0.782023\pi\)
0.0115949 + 0.999933i \(0.496309\pi\)
\(740\) −1.58024 6.92349i −0.0580909 0.254513i
\(741\) −5.25141 2.52894i −0.192915 0.0929031i
\(742\) 3.90786 + 17.1214i 0.143462 + 0.628548i
\(743\) −23.8722 29.9348i −0.875787 1.09820i −0.994444 0.105267i \(-0.966430\pi\)
0.118657 0.992935i \(-0.462141\pi\)
\(744\) 9.71890 4.68038i 0.356312 0.171591i
\(745\) −10.6540 13.3597i −0.390334 0.489463i
\(746\) −4.79448 + 21.0060i −0.175538 + 0.769083i
\(747\) −2.28470 1.10026i −0.0835929 0.0402562i
\(748\) −3.84604 1.85215i −0.140625 0.0677214i
\(749\) −16.8626 + 21.1450i −0.616146 + 0.772622i
\(750\) 0.367950 1.61209i 0.0134356 0.0588654i
\(751\) 6.18097 + 27.0806i 0.225547 + 0.988185i 0.953224 + 0.302265i \(0.0977428\pi\)
−0.727677 + 0.685920i \(0.759400\pi\)
\(752\) 0.0186130 0.0233399i 0.000678745 0.000851119i
\(753\) 1.63241 2.04698i 0.0594885 0.0745962i
\(754\) −0.0359924 0.157693i −0.00131077 0.00574285i
\(755\) −3.12773 + 13.7035i −0.113830 + 0.498721i
\(756\) −11.4714 + 14.3847i −0.417212 + 0.523168i
\(757\) −18.6423 8.97767i −0.677567 0.326299i 0.0632579 0.997997i \(-0.479851\pi\)
−0.740825 + 0.671698i \(0.765565\pi\)
\(758\) −3.66291 1.76396i −0.133043 0.0640701i
\(759\) 6.85461 30.0320i 0.248806 1.09009i
\(760\) −1.65235 2.07199i −0.0599372 0.0751589i
\(761\) 26.1545 12.5953i 0.948099 0.456580i 0.105080 0.994464i \(-0.466490\pi\)
0.843019 + 0.537884i \(0.180776\pi\)
\(762\) −21.3424 26.7625i −0.773153 0.969503i
\(763\) 12.8517 + 56.3068i 0.465262 + 2.03844i
\(764\) −20.9120 10.0707i −0.756570 0.364345i
\(765\) −0.0842754 0.369235i −0.00304698 0.0133497i
\(766\) −9.46845 + 4.55976i −0.342109 + 0.164751i
\(767\) 1.33955 0.0483685
\(768\) −1.65355 −0.0596674
\(769\) −2.55454 + 1.23020i −0.0921192 + 0.0443623i −0.479376 0.877610i \(-0.659137\pi\)
0.387257 + 0.921972i \(0.373423\pi\)
\(770\) 2.27106 9.95016i 0.0818433 0.358579i
\(771\) −22.2324 + 27.8786i −0.800682 + 1.00402i
\(772\) 5.28787 + 6.63078i 0.190315 + 0.238647i
\(773\) 11.6446 0.418826 0.209413 0.977827i \(-0.432845\pi\)
0.209413 + 0.977827i \(0.432845\pi\)
\(774\) −0.707050 + 1.59287i −0.0254144 + 0.0572544i
\(775\) −6.52363 −0.234336
\(776\) −1.50649 1.88908i −0.0540800 0.0678141i
\(777\) −24.9451 + 31.2802i −0.894902 + 1.12217i
\(778\) −0.758428 + 3.32289i −0.0271909 + 0.119131i
\(779\) −1.24822 + 0.601110i −0.0447220 + 0.0215370i
\(780\) 2.19934 0.0787489
\(781\) 19.0570 0.681914
\(782\) 7.98478 3.84527i 0.285535 0.137507i
\(783\) 0.146130 + 0.640238i 0.00522227 + 0.0228803i
\(784\) −4.15200 1.99950i −0.148286 0.0714107i
\(785\) −0.675811 2.96092i −0.0241207 0.105680i
\(786\) 17.1977 + 21.5652i 0.613421 + 0.769205i
\(787\) −17.2325 + 8.29873i −0.614272 + 0.295818i −0.715031 0.699093i \(-0.753587\pi\)
0.100759 + 0.994911i \(0.467873\pi\)
\(788\) 8.11984 + 10.1820i 0.289257 + 0.362717i
\(789\) −8.99041 + 39.3895i −0.320067 + 1.40231i
\(790\) −5.16241 2.48609i −0.183670 0.0884510i
\(791\) −31.6058 15.2206i −1.12377 0.541181i
\(792\) 0.496363 0.622420i 0.0176375 0.0221167i
\(793\) −0.918121 + 4.02255i −0.0326034 + 0.142845i
\(794\) −2.05762 9.01502i −0.0730222 0.319931i
\(795\) −5.31409 + 6.66366i −0.188471 + 0.236336i
\(796\) 14.7152 18.4523i 0.521566 0.654023i
\(797\) 1.02823 + 4.50498i 0.0364219 + 0.159575i 0.989868 0.141987i \(-0.0453492\pi\)
−0.953447 + 0.301562i \(0.902492\pi\)
\(798\) −3.32237 + 14.5563i −0.117611 + 0.515286i
\(799\) 0.0265245 0.0332607i 0.000938369 0.00117668i
\(800\) 0.900969 + 0.433884i 0.0318541 + 0.0153401i
\(801\) −2.92956 1.41080i −0.103511 0.0498482i
\(802\) 5.31953 23.3064i 0.187839 0.822978i
\(803\) −4.93459 6.18778i −0.174138 0.218362i
\(804\) −4.64589 + 2.23734i −0.163848 + 0.0789051i
\(805\) 13.2110 + 16.5661i 0.465628 + 0.583879i
\(806\) −1.93079 8.45933i −0.0680091 0.297967i
\(807\) −6.07912 2.92755i −0.213995 0.103055i
\(808\) 2.24607 + 9.84066i 0.0790163 + 0.346193i
\(809\) 22.5035 10.8371i 0.791181 0.381013i 0.00576670 0.999983i \(-0.498164\pi\)
0.785414 + 0.618971i \(0.212450\pi\)
\(810\) −8.13207 −0.285732
\(811\) 19.1198 0.671387 0.335693 0.941971i \(-0.391029\pi\)
0.335693 + 0.941971i \(0.391029\pi\)
\(812\) −0.373303 + 0.179773i −0.0131004 + 0.00630881i
\(813\) 8.58049 37.5936i 0.300931 1.31846i
\(814\) 13.2634 16.6317i 0.464881 0.582942i
\(815\) 9.27600 + 11.6317i 0.324924 + 0.407442i
\(816\) −2.35640 −0.0824906
\(817\) 0.539368 + 17.3700i 0.0188701 + 0.607698i
\(818\) 7.11720 0.248847
\(819\) 0.750909 + 0.941611i 0.0262389 + 0.0329025i
\(820\) 0.325939 0.408714i 0.0113823 0.0142729i
\(821\) 7.37741 32.3225i 0.257473 1.12806i −0.666469 0.745533i \(-0.732195\pi\)
0.923942 0.382531i \(-0.124948\pi\)
\(822\) −31.5699 + 15.2033i −1.10113 + 0.530275i
\(823\) −23.5868 −0.822184 −0.411092 0.911594i \(-0.634853\pi\)
−0.411092 + 0.911594i \(0.634853\pi\)
\(824\) 15.9077 0.554170
\(825\) 4.46272 2.14913i 0.155372 0.0748232i
\(826\) −0.763559 3.34537i −0.0265676 0.116400i
\(827\) 24.8593 + 11.9716i 0.864441 + 0.416293i 0.812917 0.582379i \(-0.197878\pi\)
0.0515236 + 0.998672i \(0.483592\pi\)
\(828\) 0.367783 + 1.61136i 0.0127813 + 0.0559987i
\(829\) −5.37998 6.74628i −0.186854 0.234308i 0.679577 0.733604i \(-0.262163\pi\)
−0.866431 + 0.499296i \(0.833592\pi\)
\(830\) 8.59669 4.13995i 0.298396 0.143700i
\(831\) 28.5074 + 35.7472i 0.988912 + 1.24006i
\(832\) −0.295968 + 1.29672i −0.0102608 + 0.0449557i
\(833\) −5.91683 2.84940i −0.205006 0.0987257i
\(834\) 5.24368 + 2.52522i 0.181574 + 0.0874413i
\(835\) −11.1452 + 13.9756i −0.385694 + 0.483646i
\(836\) 1.76651 7.73960i 0.0610961 0.267680i
\(837\) 7.83905 + 34.3451i 0.270957 + 1.18714i
\(838\) 1.41112 1.76949i 0.0487462 0.0611259i
\(839\) 11.9542 14.9900i 0.412703 0.517514i −0.531419 0.847109i \(-0.678341\pi\)
0.944122 + 0.329596i \(0.106912\pi\)
\(840\) −1.25364 5.49258i −0.0432549 0.189512i
\(841\) 6.44982 28.2585i 0.222407 0.974431i
\(842\) −12.7281 + 15.9605i −0.438639 + 0.550036i
\(843\) 14.4642 + 6.96561i 0.498175 + 0.239908i
\(844\) −0.651002 0.313506i −0.0224084 0.0107913i
\(845\) −2.49911 + 10.9493i −0.0859721 + 0.376669i
\(846\) 0.00494668 + 0.00620294i 0.000170070 + 0.000213262i
\(847\) −6.22188 + 2.99630i −0.213786 + 0.102954i
\(848\) −3.21374 4.02991i −0.110360 0.138388i
\(849\) 1.78657 + 7.82749i 0.0613151 + 0.268639i
\(850\) 1.28393 + 0.618308i 0.0440384 + 0.0212078i
\(851\) 9.82755 + 43.0573i 0.336884 + 1.47599i
\(852\) 9.47787 4.56430i 0.324706 0.156370i
\(853\) 5.13950 0.175973 0.0879865 0.996122i \(-0.471957\pi\)
0.0879865 + 0.996122i \(0.471957\pi\)
\(854\) 10.5692 0.361669
\(855\) 0.634574 0.305595i 0.0217020 0.0104511i
\(856\) 1.76636 7.73894i 0.0603730 0.264512i
\(857\) −14.2360 + 17.8514i −0.486294 + 0.609793i −0.963076 0.269228i \(-0.913231\pi\)
0.476783 + 0.879021i \(0.341803\pi\)
\(858\) 4.10765 + 5.15083i 0.140233 + 0.175846i
\(859\) −20.3652 −0.694852 −0.347426 0.937707i \(-0.612944\pi\)
−0.347426 + 0.937707i \(0.612944\pi\)
\(860\) −3.02716 5.81690i −0.103225 0.198355i
\(861\) −2.94517 −0.100371
\(862\) −12.1511 15.2370i −0.413867 0.518973i
\(863\) 29.5543 37.0599i 1.00604 1.26153i 0.0410747 0.999156i \(-0.486922\pi\)
0.964965 0.262378i \(-0.0845067\pi\)
\(864\) 1.20164 5.26472i 0.0408806 0.179109i
\(865\) 0.116537 0.0561210i 0.00396236 0.00190817i
\(866\) 28.7231 0.976050
\(867\) 24.7524 0.840635
\(868\) −20.0256 + 9.64381i −0.679712 + 0.327332i
\(869\) −3.81932 16.7335i −0.129561 0.567646i
\(870\) −0.181173 0.0872484i −0.00614235 0.00295800i
\(871\) 0.922968 + 4.04379i 0.0312736 + 0.137018i
\(872\) −10.5690 13.2531i −0.357910 0.448805i
\(873\) 0.578557 0.278618i 0.0195812 0.00942980i
\(874\) 10.2760 + 12.8857i 0.347592 + 0.435866i
\(875\) −0.758153 + 3.32168i −0.0256302 + 0.112293i
\(876\) −3.93620 1.89557i −0.132992 0.0640455i
\(877\) −16.7857 8.08354i −0.566811 0.272962i 0.128454 0.991716i \(-0.458999\pi\)
−0.695265 + 0.718754i \(0.744713\pi\)
\(878\) 10.3048 12.9219i 0.347771 0.436091i
\(879\) −11.2031 + 49.0839i −0.377871 + 1.65556i
\(880\) 0.666565 + 2.92041i 0.0224699 + 0.0984471i
\(881\) 3.40717 4.27246i 0.114791 0.143943i −0.721116 0.692814i \(-0.756371\pi\)
0.835907 + 0.548871i \(0.184942\pi\)
\(882\) 0.763617 0.957546i 0.0257123 0.0322422i
\(883\) −0.539410 2.36331i −0.0181526 0.0795317i 0.965040 0.262102i \(-0.0844156\pi\)
−0.983193 + 0.182570i \(0.941558\pi\)
\(884\) −0.421771 + 1.84790i −0.0141857 + 0.0621516i
\(885\) 1.03832 1.30202i 0.0349029 0.0437669i
\(886\) −5.19543 2.50199i −0.174544 0.0840559i
\(887\) 26.6756 + 12.8463i 0.895680 + 0.431337i 0.824327 0.566114i \(-0.191554\pi\)
0.0713536 + 0.997451i \(0.477268\pi\)
\(888\) 2.61301 11.4484i 0.0876870 0.384182i
\(889\) 43.9755 + 55.1435i 1.47489 + 1.84945i
\(890\) 11.0231 5.30845i 0.369495 0.177940i
\(891\) −15.1881 19.0452i −0.508819 0.638039i
\(892\) −5.24156 22.9648i −0.175500 0.768917i
\(893\) 0.0712803 + 0.0343268i 0.00238531 + 0.00114870i
\(894\) −6.28743 27.5470i −0.210283 0.921311i
\(895\) 8.61482 4.14868i 0.287962 0.138675i
\(896\) 3.40711 0.113823
\(897\) −13.6777 −0.456686
\(898\) −1.52684 + 0.735287i −0.0509513 + 0.0245368i
\(899\) −0.176533 + 0.773443i −0.00588772 + 0.0257958i
\(900\) −0.165702 + 0.207784i −0.00552340 + 0.00692613i
\(901\) −4.57976 5.74284i −0.152574 0.191322i
\(902\) 1.56595 0.0521405
\(903\) −14.9884 + 33.7664i −0.498783 + 1.12368i
\(904\) 10.2961 0.342442
\(905\) −9.33849 11.7101i −0.310422 0.389257i
\(906\) −14.4913 + 18.1715i −0.481440 + 0.603706i
\(907\) 1.39350 6.10534i 0.0462706 0.202725i −0.946509 0.322677i \(-0.895417\pi\)
0.992780 + 0.119953i \(0.0382743\pi\)
\(908\) 13.6349 6.56624i 0.452491 0.217908i
\(909\) −2.68256 −0.0889750
\(910\) −4.53169 −0.150224
\(911\) 43.2061 20.8070i 1.43148 0.689365i 0.452209 0.891912i \(-0.350636\pi\)
0.979273 + 0.202547i \(0.0649218\pi\)
\(912\) −0.975130 4.27233i −0.0322898 0.141471i
\(913\) 25.7515 + 12.4013i 0.852252 + 0.410423i
\(914\) 4.17486 + 18.2913i 0.138092 + 0.605021i
\(915\) 3.19817 + 4.01038i 0.105728 + 0.132579i
\(916\) 8.48171 4.08458i 0.280244 0.134958i
\(917\) −35.4354 44.4346i −1.17018 1.46736i
\(918\) 1.71240 7.50252i 0.0565176 0.247620i
\(919\) 7.35663 + 3.54277i 0.242673 + 0.116865i 0.551268 0.834329i \(-0.314144\pi\)
−0.308595 + 0.951194i \(0.599859\pi\)
\(920\) −5.60314 2.69833i −0.184730 0.0889613i
\(921\) −31.5898 + 39.6124i −1.04092 + 1.30527i
\(922\) 1.20162 5.26465i 0.0395733 0.173382i
\(923\) −1.88290 8.24953i −0.0619765 0.271537i
\(924\) 10.5222 13.1944i 0.346154 0.434063i
\(925\) −4.42774 + 5.55221i −0.145583 + 0.182556i
\(926\) −1.65858 7.26672i −0.0545044 0.238799i
\(927\) −0.940753 + 4.12171i −0.0308984 + 0.135375i
\(928\) 0.0758221 0.0950779i 0.00248898 0.00312108i
\(929\) −9.97246 4.80248i −0.327186 0.157564i 0.263079 0.964774i \(-0.415262\pi\)
−0.590264 + 0.807210i \(0.700976\pi\)
\(930\) −9.71890 4.68038i −0.318695 0.153476i
\(931\) 2.71765 11.9068i 0.0890672 0.390229i
\(932\) −0.0509282 0.0638620i −0.00166821 0.00209187i
\(933\) 38.0438 18.3209i 1.24550 0.599800i
\(934\) −17.2648 21.6494i −0.564922 0.708389i
\(935\) 0.949892 + 4.16175i 0.0310648 + 0.136104i
\(936\) −0.318480 0.153372i −0.0104098 0.00501312i
\(937\) −5.30043 23.2227i −0.173157 0.758652i −0.984686 0.174339i \(-0.944221\pi\)
0.811528 0.584313i \(-0.198636\pi\)
\(938\) 9.57276 4.61000i 0.312562 0.150522i
\(939\) −14.7831 −0.482428
\(940\) −0.0298529 −0.000973693
\(941\) −14.3331 + 6.90245i −0.467245 + 0.225014i −0.652666 0.757646i \(-0.726350\pi\)
0.185421 + 0.982659i \(0.440635\pi\)
\(942\) 1.11749 4.89604i 0.0364098 0.159522i
\(943\) −2.02702 + 2.54180i −0.0660088 + 0.0827724i
\(944\) 0.627936 + 0.787407i 0.0204376 + 0.0256279i
\(945\) 18.3988 0.598512
\(946\) 7.96936 17.9537i 0.259106 0.583724i
\(947\) 19.1055 0.620847 0.310423 0.950598i \(-0.399529\pi\)
0.310423 + 0.950598i \(0.399529\pi\)
\(948\) −5.90731 7.40754i −0.191861 0.240586i
\(949\) −2.19105 + 2.74749i −0.0711246 + 0.0891874i
\(950\) −0.589719 + 2.58373i −0.0191330 + 0.0838271i
\(951\) −14.1948 + 6.83588i −0.460299 + 0.221668i
\(952\) 4.85531 0.157362
\(953\) −28.6293 −0.927395 −0.463697 0.885994i \(-0.653477\pi\)
−0.463697 + 0.885994i \(0.653477\pi\)
\(954\) 1.23421 0.594366i 0.0399591 0.0192433i
\(955\) 5.16484 + 22.6286i 0.167130 + 0.732245i
\(956\) 15.9529 + 7.68250i 0.515953 + 0.248470i
\(957\) −0.134038 0.587258i −0.00433282 0.0189833i
\(958\) 21.5078 + 26.9699i 0.694884 + 0.871357i
\(959\) 65.0491 31.3260i 2.10055 1.01157i
\(960\) 1.03097 + 1.29280i 0.0332745 + 0.0417249i
\(961\) −2.57185 + 11.2680i −0.0829629 + 0.363484i
\(962\) −8.51014 4.09827i −0.274378 0.132133i
\(963\) 1.90072 + 0.915337i 0.0612497 + 0.0294963i
\(964\) 11.5610 14.4970i 0.372355 0.466918i
\(965\) 1.88722 8.26844i 0.0607517 0.266171i
\(966\) 7.79644 + 34.1584i 0.250846 + 1.09903i
\(967\) −10.0181 + 12.5623i −0.322159 + 0.403975i −0.916369 0.400335i \(-0.868894\pi\)
0.594209 + 0.804310i \(0.297465\pi\)
\(968\) 1.26373 1.58467i 0.0406179 0.0509333i
\(969\) −1.38961 6.08830i −0.0446408 0.195584i
\(970\) −0.537661 + 2.35565i −0.0172633 + 0.0756353i
\(971\) −8.38038 + 10.5087i −0.268939 + 0.337239i −0.897901 0.440197i \(-0.854909\pi\)
0.628962 + 0.777436i \(0.283480\pi\)
\(972\) 2.48085 + 1.19471i 0.0795733 + 0.0383205i
\(973\) −10.8045 5.20316i −0.346376 0.166806i
\(974\) −7.37730 + 32.3221i −0.236384 + 1.03567i
\(975\) −1.37126 1.71951i −0.0439156 0.0550684i
\(976\) −2.79489 + 1.34595i −0.0894623 + 0.0430828i
\(977\) −37.2652 46.7291i −1.19222 1.49500i −0.825255 0.564760i \(-0.808969\pi\)
−0.366964 0.930235i \(-0.619603\pi\)
\(978\) 5.47419 + 23.9840i 0.175045 + 0.766924i
\(979\) 33.0199 + 15.9016i 1.05532 + 0.508216i
\(980\) 1.02546 + 4.49283i 0.0327571 + 0.143518i
\(981\) 4.05893 1.95468i 0.129592 0.0624080i
\(982\) 28.8654 0.921133
\(983\) −10.1872 −0.324922 −0.162461 0.986715i \(-0.551943\pi\)
−0.162461 + 0.986715i \(0.551943\pi\)
\(984\) 0.778815 0.375058i 0.0248277 0.0119564i
\(985\) 2.89794 12.6967i 0.0923360 0.404550i
\(986\) 0.108051 0.135491i 0.00344103 0.00431492i
\(987\) 0.104862 + 0.131493i 0.00333780 + 0.00418547i
\(988\) −3.52491 −0.112142
\(989\) 18.8260 + 36.1754i 0.598631 + 1.15031i
\(990\) −0.796105 −0.0253019
\(991\) 14.3786 + 18.0302i 0.456752 + 0.572749i 0.955872 0.293784i \(-0.0949146\pi\)
−0.499120 + 0.866533i \(0.666343\pi\)
\(992\) 4.06742 5.10038i 0.129141 0.161937i
\(993\) 3.44851 15.1089i 0.109435 0.479467i
\(994\) −19.5289 + 9.40464i −0.619420 + 0.298297i
\(995\) −23.6013 −0.748213
\(996\) 15.7775 0.499931
\(997\) −48.7924 + 23.4972i −1.54527 + 0.744163i −0.995818 0.0913613i \(-0.970878\pi\)
−0.549453 + 0.835525i \(0.685164\pi\)
\(998\) −6.23194 27.3039i −0.197269 0.864291i
\(999\) 34.5514 + 16.6391i 1.09316 + 0.526437i
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 430.2.k.d.11.2 24
43.4 even 7 inner 430.2.k.d.391.2 yes 24
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
430.2.k.d.11.2 24 1.1 even 1 trivial
430.2.k.d.391.2 yes 24 43.4 even 7 inner