Properties

Label 966.2.y.d.121.7
Level $966$
Weight $2$
Character 966.121
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(25,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 44, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.y (of order \(33\), degree \(20\), 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: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(8\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 121.7
Character \(\chi\) \(=\) 966.121
Dual form 966.2.y.d.487.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.580057 + 0.814576i) q^{2} +(0.235759 + 0.971812i) q^{3} +(-0.327068 + 0.945001i) q^{4} +(0.132422 + 2.77988i) q^{5} +(-0.654861 + 0.755750i) q^{6} +(-1.83001 + 1.91077i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-0.888835 + 0.458227i) q^{9} +O(q^{10})\) \(q+(0.580057 + 0.814576i) q^{2} +(0.235759 + 0.971812i) q^{3} +(-0.327068 + 0.945001i) q^{4} +(0.132422 + 2.77988i) q^{5} +(-0.654861 + 0.755750i) q^{6} +(-1.83001 + 1.91077i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-0.888835 + 0.458227i) q^{9} +(-2.18761 + 1.72035i) q^{10} +(1.27899 - 1.79609i) q^{11} +(-0.995472 - 0.0950560i) q^{12} +(0.255749 + 1.77877i) q^{13} +(-2.61798 - 0.382327i) q^{14} +(-2.67030 + 0.784070i) q^{15} +(-0.786053 - 0.618159i) q^{16} +(-2.43940 - 0.470155i) q^{17} +(-0.888835 - 0.458227i) q^{18} +(-1.27972 + 0.246645i) q^{19} +(-2.67030 - 0.784070i) q^{20} +(-2.28835 - 1.32795i) q^{21} +2.20494 q^{22} +(4.79573 + 0.0317644i) q^{23} +(-0.500000 - 0.866025i) q^{24} +(-2.73282 + 0.260953i) q^{25} +(-1.30059 + 1.24011i) q^{26} +(-0.654861 - 0.755750i) q^{27} +(-1.20714 - 2.35432i) q^{28} +(-1.38825 + 1.60212i) q^{29} +(-2.18761 - 1.72035i) q^{30} +(-2.18796 - 2.08621i) q^{31} +(0.0475819 - 0.998867i) q^{32} +(2.04699 + 0.819492i) q^{33} +(-1.03201 - 2.25979i) q^{34} +(-5.55405 - 4.83418i) q^{35} +(-0.142315 - 0.989821i) q^{36} +(4.71296 - 2.42970i) q^{37} +(-0.943220 - 0.899358i) q^{38} +(-1.66833 + 0.667900i) q^{39} +(-0.910240 - 2.62997i) q^{40} +(-4.17810 + 2.68510i) q^{41} +(-0.245663 - 2.63432i) q^{42} +(7.23912 + 2.12560i) q^{43} +(1.27899 + 1.79609i) q^{44} +(-1.39151 - 2.41017i) q^{45} +(2.75592 + 3.92491i) q^{46} +(1.45762 - 2.52468i) q^{47} +(0.415415 - 0.909632i) q^{48} +(-0.302110 - 6.99348i) q^{49} +(-1.79776 - 2.07472i) q^{50} +(-0.118207 - 2.48148i) q^{51} +(-1.76459 - 0.340096i) q^{52} +(-4.62237 + 1.85052i) q^{53} +(0.235759 - 0.971812i) q^{54} +(5.16227 + 3.31759i) q^{55} +(1.21756 - 2.34895i) q^{56} +(-0.541397 - 1.18549i) q^{57} +(-2.11031 - 0.201510i) q^{58} +(-8.34314 + 6.56111i) q^{59} +(0.132422 - 2.77988i) q^{60} +(-0.690427 + 2.84598i) q^{61} +(0.430239 - 2.99238i) q^{62} +(0.751013 - 2.53692i) q^{63} +(0.841254 - 0.540641i) q^{64} +(-4.91090 + 0.946498i) q^{65} +(0.519833 + 2.14278i) q^{66} +(-5.65452 + 0.539941i) q^{67} +(1.24215 - 2.15146i) q^{68} +(1.09977 + 4.66803i) q^{69} +(0.716143 - 7.32830i) q^{70} +(0.712461 - 1.56007i) q^{71} +(0.723734 - 0.690079i) q^{72} +(0.0736916 - 0.212918i) q^{73} +(4.71296 + 2.42970i) q^{74} +(-0.897884 - 2.59427i) q^{75} +(0.185474 - 1.29000i) q^{76} +(1.09135 + 5.73072i) q^{77} +(-1.51178 - 0.971565i) q^{78} +(14.5980 + 5.84417i) q^{79} +(1.61432 - 2.26699i) q^{80} +(0.580057 - 0.814576i) q^{81} +(-4.61076 - 1.84587i) q^{82} +(10.1822 + 6.54368i) q^{83} +(2.00336 - 1.72817i) q^{84} +(0.983945 - 6.84349i) q^{85} +(2.46764 + 7.12978i) q^{86} +(-1.88425 - 0.971399i) q^{87} +(-0.721164 + 2.08367i) q^{88} +(-9.26620 + 8.83531i) q^{89} +(1.15611 - 2.53153i) q^{90} +(-3.86685 - 2.76649i) q^{91} +(-1.59855 + 4.52158i) q^{92} +(1.51158 - 2.61813i) q^{93} +(2.90205 - 0.277112i) q^{94} +(-0.855106 - 3.52479i) q^{95} +(0.981929 - 0.189251i) q^{96} +(2.25513 - 1.44928i) q^{97} +(5.52148 - 4.30271i) q^{98} +(-0.313795 + 2.18249i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q + 8 q^{2} + 8 q^{3} + 8 q^{4} - 2 q^{5} - 16 q^{6} + 6 q^{7} - 16 q^{8} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q + 8 q^{2} + 8 q^{3} + 8 q^{4} - 2 q^{5} - 16 q^{6} + 6 q^{7} - 16 q^{8} + 8 q^{9} - 2 q^{10} - 4 q^{11} + 8 q^{12} - 4 q^{13} + 5 q^{14} + 26 q^{15} + 8 q^{16} - 13 q^{17} + 8 q^{18} + 4 q^{19} + 26 q^{20} + 11 q^{21} - 124 q^{22} + 26 q^{23} - 80 q^{24} + 14 q^{25} + 2 q^{26} - 16 q^{27} - 22 q^{28} + 54 q^{29} - 2 q^{30} + 15 q^{31} + 8 q^{32} - 4 q^{33} + 4 q^{34} - 2 q^{35} - 16 q^{36} + 7 q^{37} - 7 q^{38} + 2 q^{39} + 9 q^{40} - 30 q^{41} + 6 q^{42} + 36 q^{43} - 4 q^{44} + 20 q^{45} + 4 q^{46} - 6 q^{47} - 16 q^{48} + 14 q^{49} - 28 q^{50} + 9 q^{51} + 2 q^{52} - 24 q^{53} + 8 q^{54} - 14 q^{55} + 6 q^{56} - 30 q^{57} - 5 q^{58} + 4 q^{59} - 2 q^{60} + 32 q^{61} - 8 q^{62} - 6 q^{63} - 16 q^{64} + 38 q^{65} - 4 q^{66} + 6 q^{67} + 42 q^{68} - 30 q^{69} - 8 q^{70} - 180 q^{71} + 8 q^{72} - 32 q^{73} + 7 q^{74} + 14 q^{75} - 8 q^{76} + 61 q^{77} + 18 q^{78} - 66 q^{79} - 2 q^{80} + 8 q^{81} - 7 q^{82} + 130 q^{83} + 5 q^{84} - 70 q^{85} - 40 q^{86} + 6 q^{87} - 15 q^{88} - 4 q^{89} + 4 q^{90} - 6 q^{91} + 58 q^{92} - 18 q^{93} + 16 q^{94} + 19 q^{95} + 8 q^{96} + 40 q^{97} + 43 q^{98} + 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{9}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.580057 + 0.814576i 0.410162 + 0.575992i
\(3\) 0.235759 + 0.971812i 0.136115 + 0.561076i
\(4\) −0.327068 + 0.945001i −0.163534 + 0.472500i
\(5\) 0.132422 + 2.77988i 0.0592209 + 1.24320i 0.811499 + 0.584354i \(0.198652\pi\)
−0.752278 + 0.658845i \(0.771045\pi\)
\(6\) −0.654861 + 0.755750i −0.267346 + 0.308533i
\(7\) −1.83001 + 1.91077i −0.691680 + 0.722204i
\(8\) −0.959493 + 0.281733i −0.339232 + 0.0996075i
\(9\) −0.888835 + 0.458227i −0.296278 + 0.152742i
\(10\) −2.18761 + 1.72035i −0.691783 + 0.544024i
\(11\) 1.27899 1.79609i 0.385629 0.541541i −0.575441 0.817843i \(-0.695170\pi\)
0.961071 + 0.276302i \(0.0891091\pi\)
\(12\) −0.995472 0.0950560i −0.287368 0.0274403i
\(13\) 0.255749 + 1.77877i 0.0709319 + 0.493342i 0.994059 + 0.108846i \(0.0347156\pi\)
−0.923127 + 0.384496i \(0.874375\pi\)
\(14\) −2.61798 0.382327i −0.699685 0.102181i
\(15\) −2.67030 + 0.784070i −0.689468 + 0.202446i
\(16\) −0.786053 0.618159i −0.196513 0.154540i
\(17\) −2.43940 0.470155i −0.591641 0.114029i −0.115362 0.993324i \(-0.536803\pi\)
−0.476279 + 0.879294i \(0.658015\pi\)
\(18\) −0.888835 0.458227i −0.209501 0.108005i
\(19\) −1.27972 + 0.246645i −0.293587 + 0.0565843i −0.333918 0.942602i \(-0.608371\pi\)
0.0403310 + 0.999186i \(0.487159\pi\)
\(20\) −2.67030 0.784070i −0.597097 0.175323i
\(21\) −2.28835 1.32795i −0.499360 0.289781i
\(22\) 2.20494 0.470094
\(23\) 4.79573 + 0.0317644i 0.999978 + 0.00662333i
\(24\) −0.500000 0.866025i −0.102062 0.176777i
\(25\) −2.73282 + 0.260953i −0.546565 + 0.0521906i
\(26\) −1.30059 + 1.24011i −0.255068 + 0.243206i
\(27\) −0.654861 0.755750i −0.126028 0.145444i
\(28\) −1.20714 2.35432i −0.228129 0.444924i
\(29\) −1.38825 + 1.60212i −0.257791 + 0.297506i −0.869861 0.493297i \(-0.835792\pi\)
0.612070 + 0.790803i \(0.290337\pi\)
\(30\) −2.18761 1.72035i −0.399401 0.314092i
\(31\) −2.18796 2.08621i −0.392969 0.374695i 0.467677 0.883900i \(-0.345091\pi\)
−0.860646 + 0.509205i \(0.829940\pi\)
\(32\) 0.0475819 0.998867i 0.00841137 0.176576i
\(33\) 2.04699 + 0.819492i 0.356335 + 0.142655i
\(34\) −1.03201 2.25979i −0.176989 0.387551i
\(35\) −5.55405 4.83418i −0.938806 0.817126i
\(36\) −0.142315 0.989821i −0.0237191 0.164970i
\(37\) 4.71296 2.42970i 0.774805 0.399440i −0.0250092 0.999687i \(-0.507961\pi\)
0.799814 + 0.600247i \(0.204931\pi\)
\(38\) −0.943220 0.899358i −0.153010 0.145895i
\(39\) −1.66833 + 0.667900i −0.267147 + 0.106950i
\(40\) −0.910240 2.62997i −0.143922 0.415834i
\(41\) −4.17810 + 2.68510i −0.652510 + 0.419343i −0.824583 0.565741i \(-0.808590\pi\)
0.172073 + 0.985084i \(0.444954\pi\)
\(42\) −0.245663 2.63432i −0.0379066 0.406485i
\(43\) 7.23912 + 2.12560i 1.10396 + 0.324151i 0.782423 0.622748i \(-0.213984\pi\)
0.321533 + 0.946898i \(0.395802\pi\)
\(44\) 1.27899 + 1.79609i 0.192815 + 0.270770i
\(45\) −1.39151 2.41017i −0.207435 0.359288i
\(46\) 2.75592 + 3.92491i 0.406338 + 0.578696i
\(47\) 1.45762 2.52468i 0.212616 0.368262i −0.739916 0.672699i \(-0.765135\pi\)
0.952533 + 0.304437i \(0.0984682\pi\)
\(48\) 0.415415 0.909632i 0.0599600 0.131294i
\(49\) −0.302110 6.99348i −0.0431585 0.999068i
\(50\) −1.79776 2.07472i −0.254241 0.293410i
\(51\) −0.118207 2.48148i −0.0165523 0.347476i
\(52\) −1.76459 0.340096i −0.244704 0.0471629i
\(53\) −4.62237 + 1.85052i −0.634931 + 0.254188i −0.666722 0.745306i \(-0.732303\pi\)
0.0317907 + 0.999495i \(0.489879\pi\)
\(54\) 0.235759 0.971812i 0.0320827 0.132247i
\(55\) 5.16227 + 3.31759i 0.696080 + 0.447344i
\(56\) 1.21756 2.34895i 0.162703 0.313891i
\(57\) −0.541397 1.18549i −0.0717098 0.157023i
\(58\) −2.11031 0.201510i −0.277097 0.0264596i
\(59\) −8.34314 + 6.56111i −1.08618 + 0.854184i −0.989984 0.141178i \(-0.954911\pi\)
−0.0961994 + 0.995362i \(0.530669\pi\)
\(60\) 0.132422 2.77988i 0.0170956 0.358881i
\(61\) −0.690427 + 2.84598i −0.0884001 + 0.364390i −0.998780 0.0493835i \(-0.984274\pi\)
0.910380 + 0.413774i \(0.135790\pi\)
\(62\) 0.430239 2.99238i 0.0546405 0.380033i
\(63\) 0.751013 2.53692i 0.0946187 0.319622i
\(64\) 0.841254 0.540641i 0.105157 0.0675801i
\(65\) −4.91090 + 0.946498i −0.609122 + 0.117399i
\(66\) 0.519833 + 2.14278i 0.0639870 + 0.263758i
\(67\) −5.65452 + 0.539941i −0.690809 + 0.0659643i −0.434555 0.900645i \(-0.643094\pi\)
−0.256254 + 0.966609i \(0.582488\pi\)
\(68\) 1.24215 2.15146i 0.150632 0.260903i
\(69\) 1.09977 + 4.66803i 0.132396 + 0.561965i
\(70\) 0.716143 7.32830i 0.0855955 0.875899i
\(71\) 0.712461 1.56007i 0.0845536 0.185146i −0.862632 0.505831i \(-0.831186\pi\)
0.947186 + 0.320685i \(0.103913\pi\)
\(72\) 0.723734 0.690079i 0.0852929 0.0813266i
\(73\) 0.0736916 0.212918i 0.00862495 0.0249202i −0.940606 0.339500i \(-0.889742\pi\)
0.949231 + 0.314579i \(0.101863\pi\)
\(74\) 4.71296 + 2.42970i 0.547870 + 0.282447i
\(75\) −0.897884 2.59427i −0.103679 0.299560i
\(76\) 0.185474 1.29000i 0.0212754 0.147973i
\(77\) 1.09135 + 5.73072i 0.124371 + 0.653076i
\(78\) −1.51178 0.971565i −0.171176 0.110008i
\(79\) 14.5980 + 5.84417i 1.64241 + 0.657520i 0.994552 0.104244i \(-0.0332424\pi\)
0.647854 + 0.761764i \(0.275667\pi\)
\(80\) 1.61432 2.26699i 0.180486 0.253457i
\(81\) 0.580057 0.814576i 0.0644508 0.0905084i
\(82\) −4.61076 1.84587i −0.509173 0.203842i
\(83\) 10.1822 + 6.54368i 1.11764 + 0.718262i 0.962944 0.269700i \(-0.0869246\pi\)
0.154694 + 0.987963i \(0.450561\pi\)
\(84\) 2.00336 1.72817i 0.218584 0.188559i
\(85\) 0.983945 6.84349i 0.106724 0.742280i
\(86\) 2.46764 + 7.12978i 0.266093 + 0.768824i
\(87\) −1.88425 0.971399i −0.202013 0.104145i
\(88\) −0.721164 + 2.08367i −0.0768763 + 0.222120i
\(89\) −9.26620 + 8.83531i −0.982216 + 0.936541i −0.997992 0.0633349i \(-0.979826\pi\)
0.0157767 + 0.999876i \(0.494978\pi\)
\(90\) 1.15611 2.53153i 0.121865 0.266847i
\(91\) −3.86685 2.76649i −0.405356 0.290007i
\(92\) −1.59855 + 4.52158i −0.166660 + 0.471407i
\(93\) 1.51158 2.61813i 0.156743 0.271487i
\(94\) 2.90205 0.277112i 0.299323 0.0285819i
\(95\) −0.855106 3.52479i −0.0877320 0.361636i
\(96\) 0.981929 0.189251i 0.100218 0.0193154i
\(97\) 2.25513 1.44928i 0.228974 0.147153i −0.421124 0.907003i \(-0.638364\pi\)
0.650098 + 0.759851i \(0.274728\pi\)
\(98\) 5.52148 4.30271i 0.557753 0.434639i
\(99\) −0.313795 + 2.18249i −0.0315376 + 0.219349i
\(100\) 0.647218 2.66787i 0.0647218 0.266787i
\(101\) −0.386463 + 8.11285i −0.0384545 + 0.807259i 0.894457 + 0.447154i \(0.147562\pi\)
−0.932912 + 0.360105i \(0.882741\pi\)
\(102\) 1.95279 1.53569i 0.193355 0.152056i
\(103\) 4.05608 + 0.387309i 0.399658 + 0.0381627i 0.292950 0.956128i \(-0.405363\pi\)
0.106708 + 0.994290i \(0.465969\pi\)
\(104\) −0.746526 1.63466i −0.0732029 0.160292i
\(105\) 3.38850 6.53719i 0.330683 0.637964i
\(106\) −4.18863 2.69187i −0.406835 0.261457i
\(107\) −2.08648 + 8.60059i −0.201708 + 0.831451i 0.777548 + 0.628823i \(0.216463\pi\)
−0.979256 + 0.202627i \(0.935052\pi\)
\(108\) 0.928368 0.371662i 0.0893322 0.0357632i
\(109\) −13.4790 2.59787i −1.29106 0.248831i −0.502920 0.864333i \(-0.667741\pi\)
−0.788135 + 0.615502i \(0.788953\pi\)
\(110\) 0.291982 + 6.12945i 0.0278394 + 0.584420i
\(111\) 3.47233 + 4.00728i 0.329579 + 0.380354i
\(112\) 2.61965 0.370731i 0.247534 0.0350308i
\(113\) −2.77573 + 6.07800i −0.261119 + 0.571770i −0.994099 0.108480i \(-0.965402\pi\)
0.732980 + 0.680250i \(0.238129\pi\)
\(114\) 0.651634 1.12866i 0.0610311 0.105709i
\(115\) 0.546758 + 13.3357i 0.0509854 + 1.24356i
\(116\) −1.05995 1.83590i −0.0984143 0.170459i
\(117\) −1.04240 1.46384i −0.0963697 0.135332i
\(118\) −10.1840 2.99030i −0.937515 0.275279i
\(119\) 5.36249 3.80075i 0.491579 0.348414i
\(120\) 2.34123 1.50462i 0.213724 0.137352i
\(121\) 2.00763 + 5.80066i 0.182512 + 0.527333i
\(122\) −2.71875 + 1.08842i −0.246144 + 0.0985413i
\(123\) −3.59444 3.42729i −0.324100 0.309029i
\(124\) 2.68709 1.38529i 0.241307 0.124403i
\(125\) 0.893029 + 6.21116i 0.0798750 + 0.555543i
\(126\) 2.50215 0.859803i 0.222909 0.0765973i
\(127\) −6.89019 15.0874i −0.611405 1.33879i −0.921609 0.388120i \(-0.873125\pi\)
0.310204 0.950670i \(-0.399603\pi\)
\(128\) 0.928368 + 0.371662i 0.0820569 + 0.0328506i
\(129\) −0.358993 + 7.53619i −0.0316076 + 0.663525i
\(130\) −3.61959 3.45128i −0.317459 0.302697i
\(131\) 2.97127 + 2.33664i 0.259601 + 0.204153i 0.739474 0.673186i \(-0.235075\pi\)
−0.479872 + 0.877338i \(0.659317\pi\)
\(132\) −1.44393 + 1.66638i −0.125678 + 0.145040i
\(133\) 1.87061 2.89661i 0.162203 0.251168i
\(134\) −3.71976 4.29284i −0.321339 0.370845i
\(135\) 2.01417 1.92051i 0.173352 0.165291i
\(136\) 2.47304 0.236147i 0.212062 0.0202494i
\(137\) −9.35722 16.2072i −0.799441 1.38467i −0.919981 0.391964i \(-0.871796\pi\)
0.120540 0.992708i \(-0.461537\pi\)
\(138\) −3.16454 + 3.60357i −0.269383 + 0.306756i
\(139\) 2.99970 0.254432 0.127216 0.991875i \(-0.459396\pi\)
0.127216 + 0.991875i \(0.459396\pi\)
\(140\) 6.38486 3.66748i 0.539619 0.309958i
\(141\) 2.79716 + 0.821321i 0.235563 + 0.0691677i
\(142\) 1.68406 0.324577i 0.141324 0.0272379i
\(143\) 3.52193 + 1.81568i 0.294518 + 0.151835i
\(144\) 0.981929 + 0.189251i 0.0818274 + 0.0157709i
\(145\) −4.63753 3.64700i −0.385126 0.302867i
\(146\) 0.216183 0.0634771i 0.0178915 0.00525340i
\(147\) 6.72512 1.94237i 0.554678 0.160204i
\(148\) 0.754609 + 5.24842i 0.0620285 + 0.431418i
\(149\) 16.7508 + 1.59951i 1.37228 + 0.131037i 0.755008 0.655715i \(-0.227633\pi\)
0.617269 + 0.786752i \(0.288239\pi\)
\(150\) 1.59240 2.23622i 0.130019 0.182586i
\(151\) −0.931178 + 0.732287i −0.0757782 + 0.0595926i −0.655330 0.755343i \(-0.727470\pi\)
0.579551 + 0.814936i \(0.303228\pi\)
\(152\) 1.15839 0.597192i 0.0939579 0.0484387i
\(153\) 2.38366 0.699906i 0.192708 0.0565840i
\(154\) −4.03506 + 4.21313i −0.325154 + 0.339504i
\(155\) 5.50969 6.35852i 0.442549 0.510728i
\(156\) −0.0855076 1.79503i −0.00684609 0.143717i
\(157\) 3.79801 10.9736i 0.303114 0.875791i −0.685864 0.727730i \(-0.740576\pi\)
0.988978 0.148061i \(-0.0473033\pi\)
\(158\) 3.70717 + 15.2811i 0.294926 + 1.21570i
\(159\) −2.88812 4.05580i −0.229043 0.321646i
\(160\) 2.78303 0.220018
\(161\) −8.83693 + 9.10542i −0.696448 + 0.717607i
\(162\) 1.00000 0.0785674
\(163\) 9.06557 + 12.7308i 0.710070 + 0.997154i 0.999205 + 0.0398658i \(0.0126930\pi\)
−0.289135 + 0.957288i \(0.593368\pi\)
\(164\) −1.17090 4.82652i −0.0914321 0.376888i
\(165\) −2.00702 + 5.79890i −0.156246 + 0.451444i
\(166\) 0.575911 + 12.0899i 0.0446993 + 0.938355i
\(167\) 1.36390 1.57403i 0.105542 0.121802i −0.700521 0.713632i \(-0.747049\pi\)
0.806063 + 0.591830i \(0.201594\pi\)
\(168\) 2.56978 + 0.629450i 0.198263 + 0.0485632i
\(169\) 9.37479 2.75269i 0.721138 0.211745i
\(170\) 6.14528 3.16811i 0.471322 0.242983i
\(171\) 1.02444 0.805627i 0.0783407 0.0616078i
\(172\) −4.37638 + 6.14576i −0.333696 + 0.468610i
\(173\) −2.14732 0.205044i −0.163257 0.0155892i 0.0131072 0.999914i \(-0.495828\pi\)
−0.176365 + 0.984325i \(0.556434\pi\)
\(174\) −0.301695 2.09833i −0.0228714 0.159074i
\(175\) 4.50248 5.69935i 0.340355 0.430830i
\(176\) −2.11562 + 0.621202i −0.159471 + 0.0468249i
\(177\) −8.34314 6.56111i −0.627108 0.493164i
\(178\) −12.5720 2.42305i −0.942308 0.181615i
\(179\) 8.21203 + 4.23359i 0.613796 + 0.316434i 0.736943 0.675955i \(-0.236269\pi\)
−0.123148 + 0.992388i \(0.539299\pi\)
\(180\) 2.73274 0.526692i 0.203686 0.0392573i
\(181\) 21.5883 + 6.33889i 1.60464 + 0.471166i 0.956834 0.290635i \(-0.0938667\pi\)
0.647810 + 0.761802i \(0.275685\pi\)
\(182\) 0.0105265 4.75457i 0.000780278 0.352432i
\(183\) −2.92853 −0.216483
\(184\) −4.61041 + 1.32063i −0.339884 + 0.0973585i
\(185\) 7.37836 + 12.7797i 0.542468 + 0.939582i
\(186\) 3.00946 0.287369i 0.220665 0.0210709i
\(187\) −3.96440 + 3.78005i −0.289906 + 0.276425i
\(188\) 1.90908 + 2.20320i 0.139234 + 0.160685i
\(189\) 2.64247 + 0.131741i 0.192211 + 0.00958272i
\(190\) 2.37520 2.74113i 0.172315 0.198862i
\(191\) 8.46475 + 6.65675i 0.612488 + 0.481666i 0.875559 0.483111i \(-0.160493\pi\)
−0.263072 + 0.964776i \(0.584736\pi\)
\(192\) 0.723734 + 0.690079i 0.0522310 + 0.0498022i
\(193\) 0.171537 3.60100i 0.0123475 0.259206i −0.984250 0.176783i \(-0.943431\pi\)
0.996597 0.0824232i \(-0.0262659\pi\)
\(194\) 2.48866 + 0.996308i 0.178675 + 0.0715307i
\(195\) −2.07761 4.54932i −0.148780 0.325784i
\(196\) 6.70765 + 2.00185i 0.479118 + 0.142989i
\(197\) −1.40352 9.76173i −0.0999970 0.695494i −0.976723 0.214504i \(-0.931186\pi\)
0.876726 0.480990i \(-0.159723\pi\)
\(198\) −1.95982 + 1.01036i −0.139279 + 0.0718032i
\(199\) 18.9961 + 18.1127i 1.34660 + 1.28398i 0.926399 + 0.376543i \(0.122887\pi\)
0.420197 + 0.907433i \(0.361961\pi\)
\(200\) 2.54861 1.02031i 0.180214 0.0721466i
\(201\) −1.85782 5.36783i −0.131041 0.378617i
\(202\) −6.83270 + 4.39111i −0.480747 + 0.308958i
\(203\) −0.520783 5.58452i −0.0365518 0.391957i
\(204\) 2.38366 + 0.699906i 0.166890 + 0.0490032i
\(205\) −8.01753 11.2590i −0.559969 0.786366i
\(206\) 2.03727 + 3.52865i 0.141943 + 0.245853i
\(207\) −4.27717 + 2.16930i −0.297284 + 0.150776i
\(208\) 0.898531 1.55630i 0.0623019 0.107910i
\(209\) −1.19375 + 2.61394i −0.0825731 + 0.180810i
\(210\) 7.29056 1.03175i 0.503096 0.0711978i
\(211\) −15.5592 17.9563i −1.07114 1.23616i −0.970465 0.241242i \(-0.922445\pi\)
−0.100675 0.994919i \(-0.532100\pi\)
\(212\) −0.236912 4.97339i −0.0162712 0.341574i
\(213\) 1.68406 + 0.324577i 0.115390 + 0.0222396i
\(214\) −8.21612 + 3.28924i −0.561642 + 0.224848i
\(215\) −4.95028 + 20.4053i −0.337607 + 1.39163i
\(216\) 0.841254 + 0.540641i 0.0572401 + 0.0367859i
\(217\) 7.99027 0.362895i 0.542415 0.0246349i
\(218\) −5.70243 12.4866i −0.386218 0.845699i
\(219\) 0.224290 + 0.0214171i 0.0151561 + 0.00144723i
\(220\) −4.82354 + 3.79327i −0.325203 + 0.255742i
\(221\) 0.212426 4.45937i 0.0142893 0.299970i
\(222\) −1.25009 + 5.15293i −0.0839003 + 0.345842i
\(223\) 1.92954 13.4203i 0.129212 0.898687i −0.817345 0.576149i \(-0.804555\pi\)
0.946556 0.322538i \(-0.104536\pi\)
\(224\) 1.82153 + 1.91886i 0.121706 + 0.128209i
\(225\) 2.30945 1.48420i 0.153964 0.0989464i
\(226\) −6.56107 + 1.26454i −0.436436 + 0.0841161i
\(227\) 5.00254 + 20.6207i 0.332030 + 1.36865i 0.856029 + 0.516928i \(0.172924\pi\)
−0.523999 + 0.851719i \(0.675560\pi\)
\(228\) 1.29737 0.123884i 0.0859202 0.00820439i
\(229\) 2.47288 4.28316i 0.163413 0.283039i −0.772678 0.634798i \(-0.781083\pi\)
0.936090 + 0.351759i \(0.114416\pi\)
\(230\) −10.5458 + 8.18086i −0.695371 + 0.539430i
\(231\) −5.31188 + 2.41166i −0.349496 + 0.158675i
\(232\) 0.880642 1.92834i 0.0578170 0.126602i
\(233\) −13.2941 + 12.6759i −0.870925 + 0.830426i −0.986650 0.162856i \(-0.947929\pi\)
0.115725 + 0.993281i \(0.463081\pi\)
\(234\) 0.587761 1.69822i 0.0384232 0.111016i
\(235\) 7.21132 + 3.71769i 0.470415 + 0.242516i
\(236\) −3.47149 10.0302i −0.225974 0.652910i
\(237\) −2.23781 + 15.5643i −0.145362 + 1.01101i
\(238\) 6.20655 + 2.16351i 0.402311 + 0.140239i
\(239\) 9.16120 + 5.88755i 0.592589 + 0.380834i 0.802292 0.596931i \(-0.203614\pi\)
−0.209704 + 0.977765i \(0.567250\pi\)
\(240\) 2.58368 + 1.03435i 0.166776 + 0.0667668i
\(241\) 12.9568 18.1953i 0.834621 1.17206i −0.148465 0.988918i \(-0.547433\pi\)
0.983086 0.183143i \(-0.0586272\pi\)
\(242\) −3.56054 + 5.00008i −0.228880 + 0.321417i
\(243\) 0.928368 + 0.371662i 0.0595548 + 0.0238422i
\(244\) −2.46364 1.58328i −0.157718 0.101359i
\(245\) 19.4010 1.76592i 1.23948 0.112820i
\(246\) 0.706810 4.91597i 0.0450645 0.313431i
\(247\) −0.766011 2.21324i −0.0487401 0.140825i
\(248\) 2.68709 + 1.38529i 0.170630 + 0.0879659i
\(249\) −3.95869 + 11.4379i −0.250872 + 0.724846i
\(250\) −4.54145 + 4.33026i −0.287227 + 0.273870i
\(251\) −4.19901 + 9.19455i −0.265039 + 0.580355i −0.994626 0.103533i \(-0.966985\pi\)
0.729587 + 0.683888i \(0.239712\pi\)
\(252\) 2.15176 + 1.53945i 0.135548 + 0.0969765i
\(253\) 6.19073 8.57292i 0.389208 0.538975i
\(254\) 8.29313 14.3641i 0.520358 0.901286i
\(255\) 6.88255 0.657204i 0.431002 0.0411557i
\(256\) 0.235759 + 0.971812i 0.0147349 + 0.0607382i
\(257\) −16.1737 + 3.11723i −1.00889 + 0.194448i −0.666814 0.745224i \(-0.732342\pi\)
−0.342077 + 0.939672i \(0.611130\pi\)
\(258\) −6.34704 + 4.07899i −0.395149 + 0.253947i
\(259\) −3.98217 + 13.4518i −0.247440 + 0.835852i
\(260\) 0.711756 4.95037i 0.0441412 0.307009i
\(261\) 0.499788 2.06015i 0.0309361 0.127520i
\(262\) −0.179859 + 3.77571i −0.0111117 + 0.233264i
\(263\) 9.54439 7.50579i 0.588532 0.462827i −0.278943 0.960308i \(-0.589984\pi\)
0.867475 + 0.497481i \(0.165742\pi\)
\(264\) −2.19495 0.209592i −0.135090 0.0128995i
\(265\) −5.75632 12.6046i −0.353608 0.774293i
\(266\) 3.44457 0.156443i 0.211200 0.00959211i
\(267\) −10.7708 6.92200i −0.659165 0.423620i
\(268\) 1.33917 5.52012i 0.0818026 0.337195i
\(269\) −6.18463 + 2.47595i −0.377083 + 0.150961i −0.552459 0.833540i \(-0.686310\pi\)
0.175375 + 0.984502i \(0.443886\pi\)
\(270\) 2.73274 + 0.526692i 0.166309 + 0.0320534i
\(271\) 0.589094 + 12.3666i 0.0357849 + 0.751218i 0.943448 + 0.331519i \(0.107561\pi\)
−0.907664 + 0.419699i \(0.862136\pi\)
\(272\) 1.62687 + 1.87750i 0.0986432 + 0.113840i
\(273\) 1.77687 4.41008i 0.107541 0.266910i
\(274\) 7.77426 17.0232i 0.469660 1.02841i
\(275\) −3.02655 + 5.24214i −0.182508 + 0.316113i
\(276\) −4.77099 0.487483i −0.287180 0.0293430i
\(277\) 7.37399 + 12.7721i 0.443060 + 0.767403i 0.997915 0.0645447i \(-0.0205595\pi\)
−0.554855 + 0.831947i \(0.687226\pi\)
\(278\) 1.74000 + 2.44349i 0.104358 + 0.146551i
\(279\) 2.90069 + 0.851721i 0.173660 + 0.0509912i
\(280\) 6.69102 + 3.07361i 0.399865 + 0.183683i
\(281\) −12.2644 + 7.88188i −0.731635 + 0.470193i −0.852667 0.522455i \(-0.825016\pi\)
0.121031 + 0.992649i \(0.461380\pi\)
\(282\) 0.953485 + 2.75491i 0.0567792 + 0.164053i
\(283\) 12.4630 4.98943i 0.740848 0.296591i 0.0296285 0.999561i \(-0.490568\pi\)
0.711219 + 0.702970i \(0.248143\pi\)
\(284\) 1.24125 + 1.18353i 0.0736544 + 0.0702293i
\(285\) 3.22384 1.66200i 0.190964 0.0984486i
\(286\) 0.563909 + 3.92207i 0.0333446 + 0.231917i
\(287\) 2.51536 12.8972i 0.148477 0.761297i
\(288\) 0.415415 + 0.909632i 0.0244786 + 0.0536006i
\(289\) −10.0526 4.02447i −0.591332 0.236733i
\(290\) 0.280722 5.89309i 0.0164846 0.346054i
\(291\) 1.94010 + 1.84988i 0.113731 + 0.108442i
\(292\) 0.177106 + 0.139277i 0.0103643 + 0.00815059i
\(293\) −5.83169 + 6.73012i −0.340691 + 0.393178i −0.900078 0.435728i \(-0.856491\pi\)
0.559388 + 0.828906i \(0.311036\pi\)
\(294\) 5.48316 + 4.35143i 0.319784 + 0.253781i
\(295\) −19.3439 22.3241i −1.12625 1.29976i
\(296\) −3.83752 + 3.65907i −0.223052 + 0.212679i
\(297\) −2.19495 + 0.209592i −0.127364 + 0.0121618i
\(298\) 8.41349 + 14.5726i 0.487380 + 0.844167i
\(299\) 1.17000 + 8.53862i 0.0676628 + 0.493801i
\(300\) 2.74525 0.158497
\(301\) −17.3092 + 9.94245i −0.997687 + 0.573073i
\(302\) −1.13664 0.333747i −0.0654063 0.0192050i
\(303\) −7.97528 + 1.53711i −0.458168 + 0.0883046i
\(304\) 1.15839 + 0.597192i 0.0664383 + 0.0342513i
\(305\) −8.00290 1.54243i −0.458245 0.0883194i
\(306\) 1.95279 + 1.53569i 0.111633 + 0.0877894i
\(307\) 5.99420 1.76006i 0.342107 0.100452i −0.106166 0.994348i \(-0.533857\pi\)
0.448273 + 0.893897i \(0.352039\pi\)
\(308\) −5.77248 0.843006i −0.328918 0.0480347i
\(309\) 0.579866 + 4.03306i 0.0329874 + 0.229433i
\(310\) 8.37543 + 0.799756i 0.475692 + 0.0454231i
\(311\) 0.477656 0.670774i 0.0270854 0.0380361i −0.800811 0.598917i \(-0.795598\pi\)
0.827897 + 0.560881i \(0.189537\pi\)
\(312\) 1.41259 1.11087i 0.0799719 0.0628906i
\(313\) −7.39964 + 3.81478i −0.418252 + 0.215624i −0.654489 0.756071i \(-0.727116\pi\)
0.236237 + 0.971696i \(0.424086\pi\)
\(314\) 11.1419 3.27156i 0.628775 0.184625i
\(315\) 7.15179 + 1.75178i 0.402957 + 0.0987016i
\(316\) −10.2973 + 11.8837i −0.579268 + 0.668511i
\(317\) −0.767988 16.1221i −0.0431345 0.905505i −0.911933 0.410339i \(-0.865410\pi\)
0.868799 0.495166i \(-0.164893\pi\)
\(318\) 1.62848 4.70519i 0.0913207 0.263854i
\(319\) 1.10200 + 4.54250i 0.0617001 + 0.254331i
\(320\) 1.61432 + 2.26699i 0.0902430 + 0.126729i
\(321\) −8.85006 −0.493962
\(322\) −12.5430 1.91669i −0.698993 0.106813i
\(323\) 3.23770 0.180150
\(324\) 0.580057 + 0.814576i 0.0322254 + 0.0452542i
\(325\) −1.16309 4.79433i −0.0645167 0.265941i
\(326\) −5.11167 + 14.7692i −0.283109 + 0.817990i
\(327\) −0.653161 13.7115i −0.0361199 0.758249i
\(328\) 3.25238 3.75345i 0.179583 0.207249i
\(329\) 2.15662 + 7.40538i 0.118898 + 0.408272i
\(330\) −5.88783 + 1.72882i −0.324115 + 0.0951686i
\(331\) 15.3328 7.90461i 0.842768 0.434477i 0.0179250 0.999839i \(-0.494294\pi\)
0.824843 + 0.565362i \(0.191264\pi\)
\(332\) −9.51404 + 7.48193i −0.522151 + 0.410624i
\(333\) −3.07569 + 4.31920i −0.168547 + 0.236691i
\(334\) 2.07331 + 0.197977i 0.113446 + 0.0108328i
\(335\) −2.24975 15.6474i −0.122917 0.854907i
\(336\) 0.977886 + 2.45840i 0.0533481 + 0.134117i
\(337\) 11.6941 3.43369i 0.637016 0.187045i 0.0527510 0.998608i \(-0.483201\pi\)
0.584265 + 0.811563i \(0.301383\pi\)
\(338\) 7.68019 + 6.03976i 0.417747 + 0.328520i
\(339\) −6.56107 1.26454i −0.356349 0.0686805i
\(340\) 6.14528 + 3.16811i 0.333275 + 0.171815i
\(341\) −6.54540 + 1.26152i −0.354453 + 0.0683152i
\(342\) 1.25048 + 0.367173i 0.0676180 + 0.0198544i
\(343\) 13.9158 + 12.2209i 0.751383 + 0.659866i
\(344\) −7.54474 −0.406785
\(345\) −12.8309 + 3.67536i −0.690794 + 0.197875i
\(346\) −1.07854 1.86809i −0.0579828 0.100429i
\(347\) 27.5273 2.62854i 1.47774 0.141107i 0.675169 0.737663i \(-0.264071\pi\)
0.802572 + 0.596556i \(0.203464\pi\)
\(348\) 1.53425 1.46290i 0.0822445 0.0784199i
\(349\) 0.914751 + 1.05568i 0.0489655 + 0.0565092i 0.779704 0.626148i \(-0.215370\pi\)
−0.730738 + 0.682658i \(0.760824\pi\)
\(350\) 7.25425 + 0.361661i 0.387756 + 0.0193316i
\(351\) 1.17683 1.35813i 0.0628143 0.0724915i
\(352\) −1.73320 1.36300i −0.0923797 0.0726482i
\(353\) −6.67941 6.36881i −0.355509 0.338977i 0.491187 0.871054i \(-0.336563\pi\)
−0.846696 + 0.532077i \(0.821412\pi\)
\(354\) 0.505033 10.6019i 0.0268422 0.563487i
\(355\) 4.43115 + 1.77397i 0.235181 + 0.0941524i
\(356\) −5.31869 11.6463i −0.281890 0.617254i
\(357\) 4.95786 + 4.31527i 0.262398 + 0.228388i
\(358\) 1.31486 + 9.14504i 0.0694924 + 0.483331i
\(359\) 26.7886 13.8105i 1.41385 0.728889i 0.429161 0.903228i \(-0.358809\pi\)
0.984686 + 0.174339i \(0.0557789\pi\)
\(360\) 2.01417 + 1.92051i 0.106156 + 0.101220i
\(361\) −16.0621 + 6.43031i −0.845376 + 0.338438i
\(362\) 7.35892 + 21.2622i 0.386776 + 1.11752i
\(363\) −5.16383 + 3.31859i −0.271031 + 0.174181i
\(364\) 3.87906 2.74934i 0.203318 0.144105i
\(365\) 0.601644 + 0.176659i 0.0314915 + 0.00924674i
\(366\) −1.69871 2.38551i −0.0887932 0.124693i
\(367\) −2.77891 4.81321i −0.145058 0.251248i 0.784337 0.620335i \(-0.213003\pi\)
−0.929395 + 0.369088i \(0.879670\pi\)
\(368\) −3.75006 2.98949i −0.195485 0.155838i
\(369\) 2.48326 4.30113i 0.129273 0.223908i
\(370\) −6.13016 + 13.4232i −0.318692 + 0.697838i
\(371\) 4.92307 12.2188i 0.255593 0.634367i
\(372\) 1.97974 + 2.28475i 0.102645 + 0.118459i
\(373\) −1.22655 25.7485i −0.0635084 1.33321i −0.775647 0.631167i \(-0.782576\pi\)
0.712139 0.702039i \(-0.247727\pi\)
\(374\) −5.37872 1.03666i −0.278127 0.0536045i
\(375\) −5.82553 + 2.33219i −0.300829 + 0.120434i
\(376\) −0.687296 + 2.83307i −0.0354446 + 0.146105i
\(377\) −3.20485 2.05963i −0.165058 0.106076i
\(378\) 1.42547 + 2.22891i 0.0733183 + 0.114643i
\(379\) −6.47469 14.1776i −0.332582 0.728254i 0.667281 0.744806i \(-0.267458\pi\)
−0.999863 + 0.0165526i \(0.994731\pi\)
\(380\) 3.61061 + 0.344772i 0.185220 + 0.0176864i
\(381\) 13.0377 10.2530i 0.667941 0.525275i
\(382\) −0.512394 + 10.7565i −0.0262164 + 0.550349i
\(383\) 6.37209 26.2661i 0.325599 1.34214i −0.540113 0.841592i \(-0.681619\pi\)
0.865712 0.500543i \(-0.166866\pi\)
\(384\) −0.142315 + 0.989821i −0.00726247 + 0.0505116i
\(385\) −15.7862 + 3.79270i −0.804538 + 0.193294i
\(386\) 3.03279 1.94906i 0.154365 0.0992043i
\(387\) −7.40839 + 1.42785i −0.376590 + 0.0725817i
\(388\) 0.631994 + 2.60512i 0.0320846 + 0.132255i
\(389\) −24.7139 + 2.35989i −1.25305 + 0.119651i −0.700391 0.713759i \(-0.746991\pi\)
−0.552654 + 0.833410i \(0.686385\pi\)
\(390\) 2.50064 4.33123i 0.126625 0.219320i
\(391\) −11.6838 2.33222i −0.590873 0.117946i
\(392\) 2.26016 + 6.62508i 0.114155 + 0.334617i
\(393\) −1.57027 + 3.43840i −0.0792094 + 0.173444i
\(394\) 7.13754 6.80564i 0.359584 0.342863i
\(395\) −14.3130 + 41.3546i −0.720164 + 2.08078i
\(396\) −1.95982 1.01036i −0.0984849 0.0507725i
\(397\) −0.915425 2.64495i −0.0459439 0.132746i 0.919695 0.392633i \(-0.128436\pi\)
−0.965639 + 0.259887i \(0.916315\pi\)
\(398\) −3.73538 + 25.9801i −0.187238 + 1.30227i
\(399\) 3.25598 + 1.13498i 0.163003 + 0.0568202i
\(400\) 2.30945 + 1.48420i 0.115473 + 0.0742098i
\(401\) 8.70403 + 3.48457i 0.434659 + 0.174011i 0.578664 0.815566i \(-0.303574\pi\)
−0.144006 + 0.989577i \(0.545998\pi\)
\(402\) 3.29486 4.62699i 0.164333 0.230773i
\(403\) 3.15133 4.42542i 0.156979 0.220446i
\(404\) −7.54025 3.01866i −0.375142 0.150184i
\(405\) 2.34123 + 1.50462i 0.116337 + 0.0747651i
\(406\) 4.24693 3.66356i 0.210772 0.181819i
\(407\) 1.66387 11.5724i 0.0824747 0.573624i
\(408\) 0.812532 + 2.34766i 0.0402263 + 0.116226i
\(409\) −22.0030 11.3434i −1.08798 0.560893i −0.181607 0.983371i \(-0.558130\pi\)
−0.906373 + 0.422478i \(0.861160\pi\)
\(410\) 4.52073 13.0618i 0.223263 0.645075i
\(411\) 13.5443 12.9144i 0.668090 0.637022i
\(412\) −1.69262 + 3.70632i −0.0833895 + 0.182598i
\(413\) 2.73124 27.9488i 0.134395 1.37527i
\(414\) −4.24806 2.22576i −0.208781 0.109390i
\(415\) −16.8423 + 29.1717i −0.826755 + 1.43198i
\(416\) 1.78892 0.170822i 0.0877092 0.00837522i
\(417\) 0.707207 + 2.91515i 0.0346321 + 0.142755i
\(418\) −2.82169 + 0.543837i −0.138014 + 0.0265999i
\(419\) 23.0771 14.8307i 1.12739 0.724529i 0.162376 0.986729i \(-0.448084\pi\)
0.965014 + 0.262200i \(0.0844480\pi\)
\(420\) 5.06938 + 5.34024i 0.247361 + 0.260577i
\(421\) 1.23183 8.56759i 0.0600359 0.417559i −0.937534 0.347893i \(-0.886897\pi\)
0.997570 0.0696665i \(-0.0221935\pi\)
\(422\) 5.60153 23.0898i 0.272678 1.12399i
\(423\) −0.138713 + 2.91195i −0.00674446 + 0.141584i
\(424\) 3.91378 3.07783i 0.190070 0.149473i
\(425\) 6.78913 + 0.648283i 0.329321 + 0.0314464i
\(426\) 0.712461 + 1.56007i 0.0345188 + 0.0755857i
\(427\) −4.17453 6.52743i −0.202020 0.315884i
\(428\) −7.44515 4.78471i −0.359875 0.231277i
\(429\) −0.934172 + 3.85071i −0.0451023 + 0.185914i
\(430\) −19.4932 + 7.80388i −0.940043 + 0.376337i
\(431\) −26.4679 5.10127i −1.27491 0.245719i −0.493507 0.869742i \(-0.664285\pi\)
−0.781406 + 0.624022i \(0.785497\pi\)
\(432\) 0.0475819 + 0.998867i 0.00228929 + 0.0480580i
\(433\) 19.6631 + 22.6925i 0.944949 + 1.09053i 0.995775 + 0.0918222i \(0.0292691\pi\)
−0.0508260 + 0.998708i \(0.516185\pi\)
\(434\) 4.93042 + 6.29818i 0.236668 + 0.302323i
\(435\) 2.45085 5.36662i 0.117509 0.257310i
\(436\) 6.86354 11.8880i 0.328704 0.569332i
\(437\) −6.14501 + 1.14219i −0.293955 + 0.0546385i
\(438\) 0.112655 + 0.195124i 0.00538286 + 0.00932339i
\(439\) −2.65333 3.72609i −0.126637 0.177836i 0.746390 0.665509i \(-0.231785\pi\)
−0.873027 + 0.487672i \(0.837846\pi\)
\(440\) −5.88783 1.72882i −0.280691 0.0824184i
\(441\) 3.47312 + 6.07762i 0.165387 + 0.289410i
\(442\) 3.75571 2.41365i 0.178641 0.114806i
\(443\) −8.19528 23.6787i −0.389369 1.12501i −0.954037 0.299690i \(-0.903117\pi\)
0.564667 0.825319i \(-0.309005\pi\)
\(444\) −4.92257 + 1.97070i −0.233615 + 0.0935253i
\(445\) −25.7881 24.5889i −1.22247 1.16563i
\(446\) 12.0511 6.21276i 0.570635 0.294183i
\(447\) 2.39473 + 16.6557i 0.113267 + 0.787788i
\(448\) −0.506462 + 2.59682i −0.0239281 + 0.122688i
\(449\) −2.32322 5.08714i −0.109640 0.240077i 0.846857 0.531821i \(-0.178492\pi\)
−0.956497 + 0.291743i \(0.905765\pi\)
\(450\) 2.54861 + 1.02031i 0.120142 + 0.0480978i
\(451\) −0.521063 + 10.9385i −0.0245359 + 0.515072i
\(452\) −4.83586 4.61098i −0.227460 0.216882i
\(453\) −0.931178 0.732287i −0.0437506 0.0344058i
\(454\) −13.8954 + 16.0362i −0.652144 + 0.752614i
\(455\) 7.17846 11.1157i 0.336531 0.521113i
\(456\) 0.853459 + 0.984945i 0.0399669 + 0.0461243i
\(457\) 6.30150 6.00846i 0.294772 0.281064i −0.528232 0.849100i \(-0.677145\pi\)
0.823004 + 0.568036i \(0.192296\pi\)
\(458\) 4.92337 0.470125i 0.230054 0.0219675i
\(459\) 1.24215 + 2.15146i 0.0579784 + 0.100422i
\(460\) −12.7811 3.84501i −0.595922 0.179274i
\(461\) 3.77508 0.175823 0.0879114 0.996128i \(-0.471981\pi\)
0.0879114 + 0.996128i \(0.471981\pi\)
\(462\) −5.04567 2.92803i −0.234746 0.136224i
\(463\) −9.37215 2.75191i −0.435561 0.127892i 0.0565991 0.998397i \(-0.481974\pi\)
−0.492160 + 0.870505i \(0.663793\pi\)
\(464\) 2.08160 0.401195i 0.0966358 0.0186250i
\(465\) 7.47824 + 3.85530i 0.346795 + 0.178785i
\(466\) −18.0368 3.47631i −0.835539 0.161037i
\(467\) −24.0440 18.9084i −1.11262 0.874978i −0.119593 0.992823i \(-0.538159\pi\)
−0.993032 + 0.117845i \(0.962401\pi\)
\(468\) 1.72427 0.506291i 0.0797043 0.0234033i
\(469\) 9.31613 11.7926i 0.430179 0.544532i
\(470\) 1.15463 + 8.03064i 0.0532592 + 0.370426i
\(471\) 11.5597 + 1.10382i 0.532644 + 0.0508613i
\(472\) 6.15670 8.64588i 0.283385 0.397959i
\(473\) 13.0765 10.2835i 0.601259 0.472835i
\(474\) −13.9764 + 7.20533i −0.641957 + 0.330952i
\(475\) 3.43288 1.00798i 0.157511 0.0462494i
\(476\) 1.83781 + 6.31066i 0.0842359 + 0.289249i
\(477\) 3.26057 3.76290i 0.149291 0.172291i
\(478\) 0.518164 + 10.8776i 0.0237003 + 0.497530i
\(479\) −2.37030 + 6.84853i −0.108302 + 0.312917i −0.986110 0.166095i \(-0.946884\pi\)
0.877808 + 0.479013i \(0.159005\pi\)
\(480\) 0.656124 + 2.70458i 0.0299478 + 0.123447i
\(481\) 5.52721 + 7.76188i 0.252019 + 0.353911i
\(482\) 22.3371 1.01743
\(483\) −10.9321 6.44115i −0.497429 0.293082i
\(484\) −6.13826 −0.279012
\(485\) 4.32746 + 6.07707i 0.196500 + 0.275946i
\(486\) 0.235759 + 0.971812i 0.0106942 + 0.0440823i
\(487\) 5.68305 16.4201i 0.257524 0.744066i −0.739926 0.672689i \(-0.765139\pi\)
0.997449 0.0713773i \(-0.0227394\pi\)
\(488\) −0.139345 2.92521i −0.00630785 0.132418i
\(489\) −10.2347 + 11.8114i −0.462827 + 0.534131i
\(490\) 12.6922 + 14.7793i 0.573373 + 0.667659i
\(491\) −38.3199 + 11.2517i −1.72935 + 0.507784i −0.986792 0.161994i \(-0.948208\pi\)
−0.742562 + 0.669778i \(0.766389\pi\)
\(492\) 4.41442 2.27579i 0.199017 0.102601i
\(493\) 4.13973 3.25552i 0.186444 0.146621i
\(494\) 1.35852 1.90778i 0.0611229 0.0858351i
\(495\) −6.10861 0.583302i −0.274562 0.0262175i
\(496\) 0.430239 + 2.99238i 0.0193183 + 0.134362i
\(497\) 1.67713 + 4.21630i 0.0752296 + 0.189127i
\(498\) −11.6133 + 3.40997i −0.520404 + 0.152804i
\(499\) 16.4492 + 12.9358i 0.736366 + 0.579084i 0.914338 0.404951i \(-0.132711\pi\)
−0.177973 + 0.984035i \(0.556954\pi\)
\(500\) −6.16163 1.18756i −0.275556 0.0531091i
\(501\) 1.85121 + 0.954365i 0.0827059 + 0.0426379i
\(502\) −9.92533 + 1.91295i −0.442989 + 0.0853792i
\(503\) −14.0169 4.11573i −0.624982 0.183511i −0.0461188 0.998936i \(-0.514685\pi\)
−0.578863 + 0.815425i \(0.696503\pi\)
\(504\) −0.00585763 + 2.64574i −0.000260920 + 0.117851i
\(505\) −22.6039 −1.00586
\(506\) 10.5743 + 0.0700384i 0.470084 + 0.00311359i
\(507\) 4.88528 + 8.46156i 0.216963 + 0.375791i
\(508\) 16.5112 1.57663i 0.732565 0.0699514i
\(509\) 21.7457 20.7345i 0.963862 0.919041i −0.0328992 0.999459i \(-0.510474\pi\)
0.996761 + 0.0804181i \(0.0256256\pi\)
\(510\) 4.52761 + 5.22515i 0.200486 + 0.231373i
\(511\) 0.271981 + 0.530451i 0.0120318 + 0.0234658i
\(512\) −0.654861 + 0.755750i −0.0289410 + 0.0333997i
\(513\) 1.02444 + 0.805627i 0.0452301 + 0.0355693i
\(514\) −11.9209 11.3666i −0.525809 0.501358i
\(515\) −0.539557 + 11.3267i −0.0237757 + 0.499114i
\(516\) −7.00429 2.80410i −0.308347 0.123443i
\(517\) −2.67026 5.84706i −0.117438 0.257153i
\(518\) −13.2674 + 4.55901i −0.582935 + 0.200312i
\(519\) −0.306985 2.13513i −0.0134752 0.0937217i
\(520\) 4.44531 2.29172i 0.194940 0.100498i
\(521\) −4.01143 3.82489i −0.175744 0.167571i 0.597102 0.802165i \(-0.296319\pi\)
−0.772846 + 0.634594i \(0.781167\pi\)
\(522\) 1.96806 0.787891i 0.0861395 0.0344850i
\(523\) 10.9824 + 31.7314i 0.480225 + 1.38752i 0.881770 + 0.471680i \(0.156352\pi\)
−0.401545 + 0.915839i \(0.631527\pi\)
\(524\) −3.17993 + 2.04362i −0.138916 + 0.0892759i
\(525\) 6.60019 + 3.03189i 0.288056 + 0.132322i
\(526\) 11.6503 + 3.42084i 0.507978 + 0.149156i
\(527\) 4.35646 + 6.11779i 0.189770 + 0.266495i
\(528\) −1.10247 1.90953i −0.0479788 0.0831016i
\(529\) 22.9980 + 0.304667i 0.999912 + 0.0132464i
\(530\) 6.92839 12.0003i 0.300950 0.521261i
\(531\) 4.40920 9.65480i 0.191343 0.418982i
\(532\) 2.12548 + 2.71512i 0.0921514 + 0.117715i
\(533\) −5.84473 6.74518i −0.253163 0.292166i
\(534\) −0.609207 12.7888i −0.0263630 0.553427i
\(535\) −24.1849 4.66126i −1.04560 0.201524i
\(536\) 5.27335 2.11113i 0.227774 0.0911870i
\(537\) −2.17820 + 8.97865i −0.0939961 + 0.387457i
\(538\) −5.60429 3.60166i −0.241618 0.155278i
\(539\) −12.9473 8.40196i −0.557679 0.361898i
\(540\) 1.15611 + 2.53153i 0.0497511 + 0.108940i
\(541\) −18.6031 1.77638i −0.799808 0.0763724i −0.312855 0.949801i \(-0.601285\pi\)
−0.486953 + 0.873428i \(0.661892\pi\)
\(542\) −9.73183 + 7.65320i −0.418018 + 0.328733i
\(543\) −1.07058 + 22.4742i −0.0459429 + 0.964460i
\(544\) −0.585694 + 2.41426i −0.0251114 + 0.103511i
\(545\) 5.43683 37.8140i 0.232888 1.61977i
\(546\) 4.62302 1.11070i 0.197847 0.0475337i
\(547\) 19.7445 12.6890i 0.844212 0.542542i −0.0455524 0.998962i \(-0.514505\pi\)
0.889765 + 0.456420i \(0.150868\pi\)
\(548\) 18.3762 3.54173i 0.784994 0.151295i
\(549\) −0.690427 2.84598i −0.0294667 0.121463i
\(550\) −6.02570 + 0.575384i −0.256937 + 0.0245345i
\(551\) 1.38141 2.39266i 0.0588498 0.101931i
\(552\) −2.37035 4.16910i −0.100889 0.177449i
\(553\) −37.8814 + 17.1986i −1.61088 + 0.731360i
\(554\) −6.12653 + 13.4152i −0.260291 + 0.569959i
\(555\) −10.6799 + 10.1833i −0.453338 + 0.432257i
\(556\) −0.981107 + 2.83472i −0.0416082 + 0.120219i
\(557\) −9.69177 4.99645i −0.410653 0.211707i 0.240506 0.970648i \(-0.422687\pi\)
−0.651159 + 0.758941i \(0.725717\pi\)
\(558\) 0.988776 + 2.85688i 0.0418582 + 0.120941i
\(559\) −1.92956 + 13.4204i −0.0816115 + 0.567620i
\(560\) 1.37748 + 7.23321i 0.0582094 + 0.305659i
\(561\) −4.60814 2.96147i −0.194556 0.125033i
\(562\) −13.5345 5.41838i −0.570917 0.228561i
\(563\) −15.8933 + 22.3190i −0.669822 + 0.940633i −0.999995 0.00328763i \(-0.998954\pi\)
0.330173 + 0.943920i \(0.392893\pi\)
\(564\) −1.69101 + 2.37469i −0.0712044 + 0.0999926i
\(565\) −17.2637 6.91133i −0.726287 0.290762i
\(566\) 11.2935 + 7.25790i 0.474702 + 0.305072i
\(567\) 0.494959 + 2.59904i 0.0207863 + 0.109149i
\(568\) −0.244078 + 1.69760i −0.0102413 + 0.0712298i
\(569\) 11.5909 + 33.4896i 0.485914 + 1.40396i 0.875613 + 0.483014i \(0.160458\pi\)
−0.389699 + 0.920942i \(0.627421\pi\)
\(570\) 3.22384 + 1.66200i 0.135032 + 0.0696137i
\(571\) 12.3129 35.5758i 0.515279 1.48880i −0.324506 0.945884i \(-0.605198\pi\)
0.839786 0.542918i \(-0.182681\pi\)
\(572\) −2.86773 + 2.73437i −0.119906 + 0.114330i
\(573\) −4.47347 + 9.79553i −0.186882 + 0.409214i
\(574\) 11.9648 5.43215i 0.499400 0.226734i
\(575\) −13.1142 + 1.16465i −0.546898 + 0.0485694i
\(576\) −0.500000 + 0.866025i −0.0208333 + 0.0360844i
\(577\) −29.1760 + 2.78597i −1.21461 + 0.115982i −0.682624 0.730770i \(-0.739161\pi\)
−0.531989 + 0.846751i \(0.678555\pi\)
\(578\) −2.55287 10.5231i −0.106185 0.437702i
\(579\) 3.53994 0.682267i 0.147115 0.0283540i
\(580\) 4.96320 3.18966i 0.206086 0.132443i
\(581\) −31.1370 + 7.48079i −1.29178 + 0.310356i
\(582\) −0.381500 + 2.65339i −0.0158137 + 0.109987i
\(583\) −2.58826 + 10.6690i −0.107195 + 0.441864i
\(584\) −0.0107207 + 0.225055i −0.000443625 + 0.00931283i
\(585\) 3.93127 3.09158i 0.162538 0.127821i
\(586\) −8.86491 0.846496i −0.366206 0.0349684i
\(587\) −14.4058 31.5443i −0.594590 1.30197i −0.932628 0.360839i \(-0.882490\pi\)
0.338038 0.941133i \(-0.390237\pi\)
\(588\) −0.364031 + 6.99053i −0.0150124 + 0.288285i
\(589\) 3.31452 + 2.13011i 0.136572 + 0.0877698i
\(590\) 6.96407 28.7063i 0.286706 1.18182i
\(591\) 9.15567 3.66538i 0.376614 0.150773i
\(592\) −5.20657 1.00348i −0.213989 0.0412430i
\(593\) −2.21017 46.3973i −0.0907610 1.90531i −0.345692 0.938348i \(-0.612356\pi\)
0.254931 0.966959i \(-0.417947\pi\)
\(594\) −1.44393 1.66638i −0.0592450 0.0683724i
\(595\) 11.2757 + 14.4038i 0.462259 + 0.590497i
\(596\) −6.99018 + 15.3064i −0.286329 + 0.626973i
\(597\) −13.1237 + 22.7308i −0.537115 + 0.930311i
\(598\) −6.27669 + 5.90594i −0.256673 + 0.241512i
\(599\) −12.7314 22.0514i −0.520190 0.900996i −0.999724 0.0234730i \(-0.992528\pi\)
0.479534 0.877523i \(-0.340806\pi\)
\(600\) 1.59240 + 2.23622i 0.0650096 + 0.0912932i
\(601\) −23.1385 6.79409i −0.943841 0.277137i −0.226620 0.973983i \(-0.572768\pi\)
−0.717220 + 0.696846i \(0.754586\pi\)
\(602\) −18.1392 8.33249i −0.739299 0.339607i
\(603\) 4.77852 3.07097i 0.194596 0.125060i
\(604\) −0.387453 1.11947i −0.0157652 0.0455507i
\(605\) −15.8593 + 6.34909i −0.644771 + 0.258127i
\(606\) −5.87821 5.60486i −0.238786 0.227682i
\(607\) −5.77583 + 2.97765i −0.234434 + 0.120859i −0.571441 0.820643i \(-0.693615\pi\)
0.337008 + 0.941502i \(0.390585\pi\)
\(608\) 0.185474 + 1.29000i 0.00752198 + 0.0523165i
\(609\) 5.30432 1.82270i 0.214942 0.0738597i
\(610\) −3.38571 7.41367i −0.137083 0.300171i
\(611\) 4.86361 + 1.94710i 0.196761 + 0.0787711i
\(612\) −0.118207 + 2.48148i −0.00477825 + 0.100308i
\(613\) 22.7482 + 21.6903i 0.918790 + 0.876065i 0.992627 0.121205i \(-0.0386760\pi\)
−0.0738370 + 0.997270i \(0.523524\pi\)
\(614\) 4.91068 + 3.86180i 0.198179 + 0.155850i
\(615\) 9.05147 10.4460i 0.364990 0.421221i
\(616\) −2.66167 5.19111i −0.107242 0.209156i
\(617\) 2.98513 + 3.44503i 0.120177 + 0.138691i 0.812650 0.582752i \(-0.198024\pi\)
−0.692473 + 0.721444i \(0.743479\pi\)
\(618\) −2.94888 + 2.81175i −0.118621 + 0.113105i
\(619\) 30.3505 2.89812i 1.21989 0.116485i 0.534822 0.844965i \(-0.320379\pi\)
0.685067 + 0.728480i \(0.259773\pi\)
\(620\) 4.20676 + 7.28632i 0.168948 + 0.292626i
\(621\) −3.11653 3.64517i −0.125062 0.146276i
\(622\) 0.823464 0.0330179
\(623\) 0.0749972 33.8743i 0.00300470 1.35715i
\(624\) 1.72427 + 0.506291i 0.0690260 + 0.0202679i
\(625\) −30.6262 + 5.90272i −1.22505 + 0.236109i
\(626\) −7.39964 3.81478i −0.295749 0.152469i
\(627\) −2.82169 0.543837i −0.112688 0.0217187i
\(628\) 9.12788 + 7.17825i 0.364242 + 0.286443i
\(629\) −12.6391 + 3.71118i −0.503954 + 0.147974i
\(630\) 2.72149 + 6.84180i 0.108427 + 0.272584i
\(631\) 2.02003 + 14.0496i 0.0804163 + 0.559307i 0.989703 + 0.143137i \(0.0457190\pi\)
−0.909287 + 0.416170i \(0.863372\pi\)
\(632\) −15.6532 1.49470i −0.622651 0.0594559i
\(633\) 13.7819 19.3540i 0.547781 0.769251i
\(634\) 12.6872 9.97729i 0.503871 0.396249i
\(635\) 41.0287 21.1518i 1.62817 0.839382i
\(636\) 4.77734 1.40275i 0.189434 0.0556228i
\(637\) 12.3625 2.32596i 0.489821 0.0921577i
\(638\) −3.06099 + 3.53257i −0.121186 + 0.139856i
\(639\) 0.0816058 + 1.71312i 0.00322827 + 0.0677698i
\(640\) −0.910240 + 2.62997i −0.0359804 + 0.103959i
\(641\) 5.72692 + 23.6067i 0.226200 + 0.932408i 0.965785 + 0.259345i \(0.0835066\pi\)
−0.739585 + 0.673063i \(0.764978\pi\)
\(642\) −5.13354 7.20905i −0.202605 0.284518i
\(643\) 10.7508 0.423972 0.211986 0.977273i \(-0.432007\pi\)
0.211986 + 0.977273i \(0.432007\pi\)
\(644\) −5.71435 11.3290i −0.225177 0.446425i
\(645\) −20.9972 −0.826765
\(646\) 1.87805 + 2.63735i 0.0738909 + 0.103765i
\(647\) 8.41495 + 34.6869i 0.330826 + 1.36368i 0.857880 + 0.513851i \(0.171781\pi\)
−0.527054 + 0.849832i \(0.676703\pi\)
\(648\) −0.327068 + 0.945001i −0.0128484 + 0.0371231i
\(649\) 1.11356 + 23.3766i 0.0437112 + 0.917611i
\(650\) 3.23068 3.72841i 0.126718 0.146240i
\(651\) 2.23644 + 7.67948i 0.0876531 + 0.300983i
\(652\) −14.9957 + 4.40313i −0.587276 + 0.172440i
\(653\) 21.0192 10.8362i 0.822547 0.424052i 0.00505120 0.999987i \(-0.498392\pi\)
0.817496 + 0.575935i \(0.195362\pi\)
\(654\) 10.7902 8.48552i 0.421931 0.331810i
\(655\) −6.10210 + 8.56920i −0.238429 + 0.334826i
\(656\) 4.94403 + 0.472098i 0.193032 + 0.0184323i
\(657\) 0.0320649 + 0.223017i 0.00125097 + 0.00870070i
\(658\) −4.78129 + 6.05228i −0.186394 + 0.235942i
\(659\) 23.6624 6.94791i 0.921757 0.270652i 0.213775 0.976883i \(-0.431424\pi\)
0.707982 + 0.706231i \(0.249606\pi\)
\(660\) −4.82354 3.79327i −0.187756 0.147653i
\(661\) −24.3294 4.68910i −0.946303 0.182385i −0.307320 0.951606i \(-0.599432\pi\)
−0.638983 + 0.769221i \(0.720644\pi\)
\(662\) 15.3328 + 7.90461i 0.595927 + 0.307222i
\(663\) 4.38375 0.844898i 0.170251 0.0328131i
\(664\) −11.6133 3.40997i −0.450683 0.132332i
\(665\) 8.29994 + 4.81650i 0.321858 + 0.186776i
\(666\) −5.30239 −0.205464
\(667\) −6.70854 + 7.63923i −0.259756 + 0.295792i
\(668\) 1.04137 + 1.80370i 0.0402917 + 0.0697873i
\(669\) 13.4969 1.28880i 0.521819 0.0498277i
\(670\) 11.4410 10.9090i 0.442004 0.421450i
\(671\) 4.22858 + 4.88004i 0.163242 + 0.188392i
\(672\) −1.43533 + 2.22258i −0.0553689 + 0.0857377i
\(673\) −13.8825 + 16.0212i −0.535130 + 0.617573i −0.957354 0.288918i \(-0.906704\pi\)
0.422223 + 0.906492i \(0.361250\pi\)
\(674\) 9.58022 + 7.53397i 0.369016 + 0.290198i
\(675\) 1.98683 + 1.89444i 0.0764732 + 0.0729171i
\(676\) −0.464902 + 9.75950i −0.0178809 + 0.375365i
\(677\) −31.2795 12.5224i −1.20217 0.481276i −0.317842 0.948144i \(-0.602958\pi\)
−0.884327 + 0.466868i \(0.845382\pi\)
\(678\) −2.77573 6.07800i −0.106601 0.233424i
\(679\) −1.35766 + 6.96125i −0.0521023 + 0.267148i
\(680\) 0.983945 + 6.84349i 0.0377326 + 0.262436i
\(681\) −18.8601 + 9.72305i −0.722720 + 0.372588i
\(682\) −4.82431 4.59997i −0.184732 0.176142i
\(683\) 32.0516 12.8315i 1.22642 0.490985i 0.334165 0.942515i \(-0.391546\pi\)
0.892256 + 0.451530i \(0.149121\pi\)
\(684\) 0.426257 + 1.23159i 0.0162984 + 0.0470910i
\(685\) 43.8148 28.1581i 1.67408 1.07587i
\(686\) −1.88288 + 18.4243i −0.0718885 + 0.703443i
\(687\) 4.74543 + 1.39338i 0.181049 + 0.0531609i
\(688\) −4.37638 6.14576i −0.166848 0.234305i
\(689\) −4.47381 7.74887i −0.170439 0.295208i
\(690\) −10.4365 8.31984i −0.397312 0.316731i
\(691\) 4.01458 6.95345i 0.152722 0.264522i −0.779505 0.626395i \(-0.784530\pi\)
0.932227 + 0.361874i \(0.117863\pi\)
\(692\) 0.896085 1.96215i 0.0340641 0.0745899i
\(693\) −3.59600 4.59358i −0.136601 0.174496i
\(694\) 18.1085 + 20.8983i 0.687390 + 0.793290i
\(695\) 0.397226 + 8.33881i 0.0150677 + 0.316309i
\(696\) 2.08160 + 0.401195i 0.0789028 + 0.0152073i
\(697\) 11.4545 4.58568i 0.433869 0.173695i
\(698\) −0.329323 + 1.35749i −0.0124651 + 0.0513817i
\(699\) −15.4528 9.93090i −0.584478 0.375621i
\(700\) 3.91328 + 6.11892i 0.147908 + 0.231273i
\(701\) 11.8554 + 25.9598i 0.447774 + 0.980488i 0.990106 + 0.140324i \(0.0448143\pi\)
−0.542332 + 0.840164i \(0.682458\pi\)
\(702\) 1.78892 + 0.170822i 0.0675186 + 0.00644725i
\(703\) −5.43198 + 4.27175i −0.204871 + 0.161112i
\(704\) 0.104915 2.20244i 0.00395413 0.0830075i
\(705\) −1.91276 + 7.88452i −0.0720389 + 0.296948i
\(706\) 1.31344 9.13516i 0.0494319 0.343806i
\(707\) −14.7946 15.5851i −0.556408 0.586137i
\(708\) 8.92903 5.73834i 0.335574 0.215660i
\(709\) −5.75035 + 1.10829i −0.215959 + 0.0416227i −0.296083 0.955162i \(-0.595680\pi\)
0.0801241 + 0.996785i \(0.474468\pi\)
\(710\) 1.12529 + 4.63851i 0.0422314 + 0.174080i
\(711\) −15.6532 + 1.49470i −0.587041 + 0.0560556i
\(712\) 6.40166 11.0880i 0.239912 0.415541i
\(713\) −10.4266 10.0744i −0.390479 0.377290i
\(714\) −0.639271 + 6.54166i −0.0239241 + 0.244815i
\(715\) −4.58099 + 10.0310i −0.171319 + 0.375137i
\(716\) −6.68664 + 6.37570i −0.249891 + 0.238271i
\(717\) −3.56175 + 10.2910i −0.133016 + 0.384325i
\(718\) 26.7886 + 13.8105i 0.999741 + 0.515402i
\(719\) −9.29306 26.8505i −0.346573 1.00136i −0.974753 0.223288i \(-0.928321\pi\)
0.628180 0.778068i \(-0.283800\pi\)
\(720\) −0.396066 + 2.75470i −0.0147605 + 0.102662i
\(721\) −8.16274 + 7.04147i −0.303996 + 0.262238i
\(722\) −14.5549 9.35389i −0.541679 0.348116i
\(723\) 20.7371 + 8.30187i 0.771220 + 0.308750i
\(724\) −13.0511 + 18.3277i −0.485040 + 0.681143i
\(725\) 3.37575 4.74058i 0.125372 0.176061i
\(726\) −5.69856 2.28136i −0.211494 0.0846692i
\(727\) 34.6020 + 22.2374i 1.28332 + 0.824739i 0.991293 0.131672i \(-0.0420345\pi\)
0.292025 + 0.956411i \(0.405671\pi\)
\(728\) 4.48963 + 1.56501i 0.166397 + 0.0580033i
\(729\) −0.142315 + 0.989821i −0.00527092 + 0.0366601i
\(730\) 0.205086 + 0.592557i 0.00759057 + 0.0219315i
\(731\) −16.6597 8.58869i −0.616183 0.317664i
\(732\) 0.957828 2.76746i 0.0354023 0.102288i
\(733\) 30.4048 28.9910i 1.12303 1.07081i 0.126137 0.992013i \(-0.459742\pi\)
0.996891 0.0787925i \(-0.0251065\pi\)
\(734\) 2.30880 5.05557i 0.0852194 0.186604i
\(735\) 6.29010 + 18.4378i 0.232014 + 0.680088i
\(736\) 0.259918 4.78878i 0.00958071 0.176517i
\(737\) −6.26228 + 10.8466i −0.230674 + 0.399539i
\(738\) 4.94403 0.472098i 0.181992 0.0173782i
\(739\) 5.80006 + 23.9082i 0.213359 + 0.879476i 0.973310 + 0.229496i \(0.0737077\pi\)
−0.759951 + 0.649980i \(0.774777\pi\)
\(740\) −14.4900 + 2.79273i −0.532665 + 0.102663i
\(741\) 1.97026 1.26621i 0.0723794 0.0465154i
\(742\) 12.8088 3.07737i 0.470225 0.112974i
\(743\) −3.89125 + 27.0642i −0.142756 + 0.992890i 0.784945 + 0.619566i \(0.212691\pi\)
−0.927701 + 0.373324i \(0.878218\pi\)
\(744\) −0.712735 + 2.93793i −0.0261301 + 0.107710i
\(745\) −2.22826 + 46.7769i −0.0816371 + 1.71377i
\(746\) 20.2626 15.9347i 0.741867 0.583411i
\(747\) −12.0488 1.15052i −0.440841 0.0420952i
\(748\) −2.27552 4.98270i −0.0832013 0.182185i
\(749\) −12.6155 19.7260i −0.460960 0.720772i
\(750\) −5.27889 3.39254i −0.192758 0.123878i
\(751\) 2.24373 9.24878i 0.0818748 0.337493i −0.916111 0.400924i \(-0.868689\pi\)
0.997986 + 0.0634312i \(0.0202043\pi\)
\(752\) −2.70642 + 1.08349i −0.0986931 + 0.0395108i
\(753\) −9.92533 1.91295i −0.361699 0.0697118i
\(754\) −0.181268 3.80529i −0.00660141 0.138581i
\(755\) −2.15898 2.49159i −0.0785732 0.0906783i
\(756\) −0.988762 + 2.45405i −0.0359609 + 0.0892528i
\(757\) 7.11014 15.5690i 0.258422 0.565866i −0.735300 0.677742i \(-0.762959\pi\)
0.993722 + 0.111876i \(0.0356860\pi\)
\(758\) 7.79304 13.4979i 0.283056 0.490267i
\(759\) 9.79078 + 3.99508i 0.355383 + 0.145012i
\(760\) 1.81352 + 3.14110i 0.0657832 + 0.113940i
\(761\) 0.428079 + 0.601153i 0.0155178 + 0.0217918i 0.822262 0.569109i \(-0.192712\pi\)
−0.806744 + 0.590901i \(0.798772\pi\)
\(762\) 15.9144 + 4.67289i 0.576518 + 0.169281i
\(763\) 29.6307 21.0012i 1.07270 0.760295i
\(764\) −9.05918 + 5.82198i −0.327750 + 0.210632i
\(765\) 2.26130 + 6.53360i 0.0817575 + 0.236223i
\(766\) 25.0919 10.0453i 0.906608 0.362951i
\(767\) −13.8045 13.1625i −0.498450 0.475271i
\(768\) −0.888835 + 0.458227i −0.0320731 + 0.0165348i
\(769\) 7.60858 + 52.9189i 0.274372 + 1.90830i 0.400514 + 0.916290i \(0.368831\pi\)
−0.126142 + 0.992012i \(0.540259\pi\)
\(770\) −12.2463 10.6591i −0.441327 0.384126i
\(771\) −6.84247 14.9829i −0.246426 0.539597i
\(772\) 3.34685 + 1.33987i 0.120456 + 0.0482231i
\(773\) 0.561416 11.7856i 0.0201927 0.423898i −0.966025 0.258447i \(-0.916789\pi\)
0.986218 0.165450i \(-0.0529078\pi\)
\(774\) −5.46038 5.20646i −0.196269 0.187142i
\(775\) 6.52371 + 5.13030i 0.234338 + 0.184286i
\(776\) −1.75547 + 2.02592i −0.0630178 + 0.0727264i
\(777\) −14.0114 0.698541i −0.502657 0.0250600i
\(778\) −16.2578 18.7625i −0.582870 0.672668i
\(779\) 4.68452 4.46668i 0.167840 0.160035i
\(780\) 4.97863 0.475402i 0.178264 0.0170221i
\(781\) −1.89080 3.27496i −0.0676580 0.117187i
\(782\) −4.87747 10.8701i −0.174418 0.388715i
\(783\) 2.11991 0.0757594
\(784\) −4.08561 + 5.68400i −0.145915 + 0.203000i
\(785\) 31.0083 + 9.10485i 1.10673 + 0.324966i
\(786\) −3.71168 + 0.715368i −0.132391 + 0.0255163i
\(787\) 8.57124 + 4.41878i 0.305532 + 0.157513i 0.604174 0.796853i \(-0.293503\pi\)
−0.298642 + 0.954365i \(0.596534\pi\)
\(788\) 9.68389 + 1.86642i 0.344974 + 0.0664883i
\(789\) 9.54439 + 7.50579i 0.339789 + 0.267213i
\(790\) −41.9888 + 12.3290i −1.49389 + 0.438647i
\(791\) −6.53406 16.4266i −0.232324 0.584063i
\(792\) −0.313795 2.18249i −0.0111502 0.0775515i
\(793\) −5.23892 0.500256i −0.186039 0.0177646i
\(794\) 1.62351 2.27990i 0.0576163 0.0809108i
\(795\) 10.8922 8.56570i 0.386305 0.303794i
\(796\) −23.3295 + 12.0272i −0.826893 + 0.426293i
\(797\) 11.4577 3.36428i 0.405852 0.119169i −0.0724338 0.997373i \(-0.523077\pi\)
0.478286 + 0.878204i \(0.341258\pi\)
\(798\) 0.964122 + 3.31059i 0.0341295 + 0.117194i
\(799\) −4.74272 + 5.47339i −0.167785 + 0.193635i
\(800\) 0.130624 + 2.74214i 0.00461827 + 0.0969494i
\(801\) 4.18756 12.0992i 0.147960 0.427503i
\(802\) 2.21039 + 9.11135i 0.0780515 + 0.321733i
\(803\) −0.288169 0.404676i −0.0101692 0.0142807i
\(804\) 5.68024 0.200327
\(805\) −26.4821 23.3598i −0.933373 0.823326i
\(806\) 5.43279 0.191362
\(807\) −3.86424 5.42656i −0.136028 0.191024i
\(808\) −1.91485 7.89310i −0.0673641 0.277678i
\(809\) −6.60552 + 19.0854i −0.232238 + 0.671006i 0.767320 + 0.641264i \(0.221590\pi\)
−0.999558 + 0.0297420i \(0.990531\pi\)
\(810\) 0.132422 + 2.77988i 0.00465283 + 0.0976749i
\(811\) 14.1406 16.3191i 0.496544 0.573042i −0.451059 0.892494i \(-0.648953\pi\)
0.947602 + 0.319452i \(0.103499\pi\)
\(812\) 5.44771 + 1.33438i 0.191177 + 0.0468275i
\(813\) −11.8791 + 3.48803i −0.416619 + 0.122330i
\(814\) 10.3918 5.35733i 0.364231 0.187774i
\(815\) −34.1896 + 26.8870i −1.19761 + 0.941811i
\(816\) −1.44103 + 2.02364i −0.0504462 + 0.0708417i
\(817\) −9.78829 0.934669i −0.342449 0.0326999i
\(818\) −3.52299 24.5029i −0.123178 0.856725i
\(819\) 4.70467 + 0.687065i 0.164395 + 0.0240080i
\(820\) 13.2621 3.89410i 0.463132 0.135988i
\(821\) 14.3012 + 11.2466i 0.499117 + 0.392510i 0.835736 0.549131i \(-0.185041\pi\)
−0.336620 + 0.941641i \(0.609284\pi\)
\(822\) 18.3762 + 3.54173i 0.640945 + 0.123532i
\(823\) 14.1189 + 7.27881i 0.492155 + 0.253723i 0.686393 0.727231i \(-0.259193\pi\)
−0.194238 + 0.980954i \(0.562223\pi\)
\(824\) −4.00090 + 0.771110i −0.139378 + 0.0268629i
\(825\) −5.80791 1.70536i −0.202206 0.0593729i
\(826\) 24.3507 13.9871i 0.847268 0.486672i
\(827\) 30.3424 1.05511 0.527554 0.849521i \(-0.323109\pi\)
0.527554 + 0.849521i \(0.323109\pi\)
\(828\) −0.651062 4.75143i −0.0226260 0.165124i
\(829\) 22.3482 + 38.7083i 0.776186 + 1.34439i 0.934125 + 0.356945i \(0.116182\pi\)
−0.157939 + 0.987449i \(0.550485\pi\)
\(830\) −33.5320 + 3.20192i −1.16391 + 0.111140i
\(831\) −10.6736 + 10.1773i −0.370264 + 0.353046i
\(832\) 1.17683 + 1.35813i 0.0407991 + 0.0470846i
\(833\) −2.55106 + 17.2019i −0.0883888 + 0.596011i
\(834\) −1.96439 + 2.26703i −0.0680212 + 0.0785007i
\(835\) 4.55621 + 3.58304i 0.157674 + 0.123996i
\(836\) −2.07974 1.98303i −0.0719293 0.0685844i
\(837\) −0.143847 + 3.01973i −0.00497209 + 0.104377i
\(838\) 25.4668 + 10.1954i 0.879735 + 0.352193i
\(839\) −23.0022 50.3679i −0.794125 1.73889i −0.664447 0.747336i \(-0.731333\pi\)
−0.129679 0.991556i \(-0.541395\pi\)
\(840\) −1.40950 + 7.22704i −0.0486324 + 0.249357i
\(841\) 3.48757 + 24.2565i 0.120261 + 0.836433i
\(842\) 7.69349 3.96627i 0.265135 0.136687i
\(843\) −10.5512 10.0605i −0.363401 0.346502i
\(844\) 22.0576 8.83054i 0.759255 0.303960i
\(845\) 8.89356 + 25.6963i 0.305948 + 0.883978i
\(846\) −2.45246 + 1.57610i −0.0843174 + 0.0541875i
\(847\) −14.7577 6.77916i −0.507082 0.232935i
\(848\) 4.77734 + 1.40275i 0.164055 + 0.0481708i
\(849\) 7.78704 + 10.9354i 0.267251 + 0.375301i
\(850\) 3.41001 + 5.90630i 0.116962 + 0.202585i
\(851\) 22.6792 11.5025i 0.777434 0.394299i
\(852\) −0.857529 + 1.48528i −0.0293785 + 0.0508850i
\(853\) −4.73999 + 10.3791i −0.162294 + 0.355375i −0.973256 0.229725i \(-0.926217\pi\)
0.810961 + 0.585100i \(0.198945\pi\)
\(854\) 2.89562 7.18675i 0.0990860 0.245926i
\(855\) 2.37520 + 2.74113i 0.0812302 + 0.0937447i
\(856\) −0.421103 8.84004i −0.0143930 0.302146i
\(857\) 5.65046 + 1.08904i 0.193016 + 0.0372008i 0.284843 0.958574i \(-0.408059\pi\)
−0.0918269 + 0.995775i \(0.529271\pi\)
\(858\) −3.67857 + 1.47268i −0.125584 + 0.0502764i
\(859\) −0.373297 + 1.53875i −0.0127367 + 0.0525015i −0.977825 0.209422i \(-0.932842\pi\)
0.965089 + 0.261924i \(0.0843569\pi\)
\(860\) −17.6640 11.3520i −0.602337 0.387099i
\(861\) 13.1266 0.596174i 0.447355 0.0203176i
\(862\) −11.1975 24.5191i −0.381389 0.835125i
\(863\) 21.0466 + 2.00970i 0.716433 + 0.0684111i 0.446905 0.894581i \(-0.352526\pi\)
0.269528 + 0.962993i \(0.413132\pi\)
\(864\) −0.786053 + 0.618159i −0.0267421 + 0.0210302i
\(865\) 0.285645 5.99643i 0.00971223 0.203885i
\(866\) −7.07900 + 29.1800i −0.240554 + 0.991577i
\(867\) 1.54103 10.7181i 0.0523360 0.364005i
\(868\) −2.27043 + 7.66951i −0.0770633 + 0.260320i
\(869\) 29.1673 18.7447i 0.989434 0.635871i
\(870\) 5.79315 1.11654i 0.196406 0.0378542i
\(871\) −2.40657 9.92000i −0.0815434 0.336126i
\(872\) 13.6649 1.30484i 0.462753 0.0441875i
\(873\) −1.34034 + 2.32154i −0.0453636 + 0.0785721i
\(874\) −4.49486 4.34304i −0.152041 0.146905i
\(875\) −13.5024 9.66012i −0.456463 0.326572i
\(876\) −0.0935971 + 0.204949i −0.00316235 + 0.00692459i
\(877\) −17.6179 + 16.7987i −0.594915 + 0.567250i −0.926557 0.376155i \(-0.877246\pi\)
0.331642 + 0.943405i \(0.392398\pi\)
\(878\) 1.49610 4.32268i 0.0504908 0.145884i
\(879\) −7.91528 4.08061i −0.266976 0.137636i
\(880\) −2.00702 5.79890i −0.0676566 0.195481i
\(881\) 3.47802 24.1902i 0.117178 0.814988i −0.843462 0.537189i \(-0.819486\pi\)
0.960639 0.277799i \(-0.0896049\pi\)
\(882\) −2.93607 + 6.35449i −0.0988627 + 0.213967i
\(883\) 33.8365 + 21.7454i 1.13869 + 0.731790i 0.967355 0.253423i \(-0.0815566\pi\)
0.171332 + 0.985213i \(0.445193\pi\)
\(884\) 4.14463 + 1.65926i 0.139399 + 0.0558069i
\(885\) 17.1343 24.0617i 0.575962 0.808826i
\(886\) 14.5344 20.4107i 0.488292 0.685710i
\(887\) −18.1450 7.26416i −0.609249 0.243907i 0.0464601 0.998920i \(-0.485206\pi\)
−0.655709 + 0.755014i \(0.727630\pi\)
\(888\) −4.46066 2.86669i −0.149690 0.0961999i
\(889\) 41.4377 + 14.4445i 1.38978 + 0.484455i
\(890\) 5.07097 35.2694i 0.169979 1.18223i
\(891\) −0.721164 2.08367i −0.0241599 0.0698054i
\(892\) 12.0511 + 6.21276i 0.403500 + 0.208019i
\(893\) −1.24265 + 3.59039i −0.0415836 + 0.120148i
\(894\) −12.1783 + 11.6119i −0.407302 + 0.388362i
\(895\) −10.6814 + 23.3890i −0.357040 + 0.781810i
\(896\) −2.40909 + 1.09375i −0.0804820 + 0.0365398i
\(897\) −8.02209 + 3.15007i −0.267850 + 0.105178i
\(898\) 2.79626 4.84327i 0.0933125 0.161622i
\(899\) 6.37979 0.609196i 0.212778 0.0203178i
\(900\) 0.647218 + 2.66787i 0.0215739 + 0.0889290i
\(901\) 12.1458 2.34092i 0.404636 0.0779873i
\(902\) −9.21245 + 5.92048i −0.306741 + 0.197130i
\(903\) −13.7430 14.4773i −0.457338 0.481774i
\(904\) 0.950922 6.61381i 0.0316272 0.219972i
\(905\) −14.7626 + 60.8522i −0.490725 + 2.02279i
\(906\) 0.0563667 1.18328i 0.00187266 0.0393120i
\(907\) 10.0225 7.88178i 0.332792 0.261710i −0.437754 0.899095i \(-0.644226\pi\)
0.770546 + 0.637384i \(0.219984\pi\)
\(908\) −21.1228 2.01698i −0.700984 0.0669359i
\(909\) −3.37402 7.38808i −0.111909 0.245047i
\(910\) 13.2185 0.600346i 0.438189 0.0199013i
\(911\) 5.29187 + 3.40088i 0.175328 + 0.112676i 0.625361 0.780335i \(-0.284952\pi\)
−0.450034 + 0.893012i \(0.648588\pi\)
\(912\) −0.307257 + 1.26653i −0.0101743 + 0.0419390i
\(913\) 24.7759 9.91877i 0.819962 0.328263i
\(914\) 8.54958 + 1.64780i 0.282795 + 0.0545042i
\(915\) −0.387801 8.14095i −0.0128203 0.269132i
\(916\) 3.23879 + 3.73776i 0.107013 + 0.123499i
\(917\) −9.90225 + 1.40136i −0.327001 + 0.0462770i
\(918\) −1.03201 + 2.25979i −0.0340615 + 0.0745842i
\(919\) −10.6805 + 18.4991i −0.352316 + 0.610229i −0.986655 0.162826i \(-0.947939\pi\)
0.634339 + 0.773055i \(0.281272\pi\)
\(920\) −4.28172 12.6415i −0.141164 0.416778i
\(921\) 3.12363 + 5.41028i 0.102927 + 0.178275i
\(922\) 2.18976 + 3.07509i 0.0721159 + 0.101273i
\(923\) 2.95722 + 0.868318i 0.0973381 + 0.0285810i
\(924\) −0.541671 5.80851i −0.0178197 0.191086i
\(925\) −12.2456 + 7.86979i −0.402634 + 0.258757i
\(926\) −3.19474 9.23060i −0.104986 0.303336i
\(927\) −3.78266 + 1.51435i −0.124239 + 0.0497378i
\(928\) 1.53425 + 1.46290i 0.0503642 + 0.0480222i
\(929\) −6.82820 + 3.52018i −0.224026 + 0.115493i −0.566586 0.824002i \(-0.691736\pi\)
0.342560 + 0.939496i \(0.388706\pi\)
\(930\) 1.19737 + 8.32789i 0.0392633 + 0.273082i
\(931\) 2.11152 + 8.87516i 0.0692023 + 0.290871i
\(932\) −7.63066 16.7088i −0.249951 0.547315i
\(933\) 0.764478 + 0.306051i 0.0250279 + 0.0100196i
\(934\) 1.45545 30.5536i 0.0476238 0.999746i
\(935\) −11.0330 10.5200i −0.360819 0.344040i
\(936\) 1.41259 + 1.11087i 0.0461718 + 0.0363099i
\(937\) 6.50687 7.50932i 0.212570 0.245319i −0.639444 0.768838i \(-0.720835\pi\)
0.852014 + 0.523519i \(0.175381\pi\)
\(938\) 15.0099 + 0.748318i 0.490089 + 0.0244334i
\(939\) −5.45178 6.29169i −0.177912 0.205321i
\(940\) −5.87182 + 5.59877i −0.191518 + 0.182612i
\(941\) 39.8104 3.80143i 1.29778 0.123923i 0.576805 0.816882i \(-0.304299\pi\)
0.720977 + 0.692959i \(0.243693\pi\)
\(942\) 5.80615 + 10.0565i 0.189175 + 0.327660i
\(943\) −20.1223 + 12.7443i −0.655273 + 0.415012i
\(944\) 10.6140 0.345455
\(945\) −0.0163020 + 7.36319i −0.000530303 + 0.239524i
\(946\) 15.9618 + 4.68681i 0.518963 + 0.152381i
\(947\) −43.7682 + 8.43562i −1.42227 + 0.274121i −0.841638 0.540042i \(-0.818408\pi\)
−0.580636 + 0.814163i \(0.697196\pi\)
\(948\) −13.9764 7.20533i −0.453932 0.234018i
\(949\) 0.397579 + 0.0766270i 0.0129060 + 0.00248742i
\(950\) 2.81234 + 2.21165i 0.0912444 + 0.0717554i
\(951\) 15.4865 4.54726i 0.502185 0.147455i
\(952\) −4.07448 + 5.15758i −0.132055 + 0.167158i
\(953\) 3.54955 + 24.6877i 0.114981 + 0.799712i 0.962953 + 0.269670i \(0.0869148\pi\)
−0.847971 + 0.530042i \(0.822176\pi\)
\(954\) 4.95648 + 0.473287i 0.160472 + 0.0153232i
\(955\) −17.3840 + 24.4125i −0.562534 + 0.789969i
\(956\) −8.56007 + 6.73171i −0.276852 + 0.217719i
\(957\) −4.15465 + 2.14187i −0.134301 + 0.0692369i
\(958\) −6.95356 + 2.04175i −0.224659 + 0.0659659i
\(959\) 48.0921 + 11.7798i 1.55297 + 0.380390i
\(960\) −1.82250 + 2.10327i −0.0588208 + 0.0678829i
\(961\) −1.04017 21.8358i −0.0335538 0.704380i
\(962\) −3.11654 + 9.00466i −0.100481 + 0.290322i
\(963\) −2.08648 8.60059i −0.0672359 0.277150i
\(964\) 12.9568 + 18.1953i 0.417310 + 0.586030i
\(965\) 10.0331 0.322976
\(966\) −1.09445 12.6413i −0.0352135 0.406727i
\(967\) 10.0678 0.323760 0.161880 0.986810i \(-0.448244\pi\)
0.161880 + 0.986810i \(0.448244\pi\)
\(968\) −3.56054 5.00008i −0.114440 0.160709i
\(969\) 0.763317 + 3.14643i 0.0245213 + 0.101078i
\(970\) −2.44006 + 7.05009i −0.0783456 + 0.226365i
\(971\) 1.61926 + 33.9924i 0.0519644 + 1.09087i 0.862785 + 0.505571i \(0.168718\pi\)
−0.810820 + 0.585295i \(0.800979\pi\)
\(972\) −0.654861 + 0.755750i −0.0210047 + 0.0242407i
\(973\) −5.48950 + 5.73176i −0.175985 + 0.183752i
\(974\) 16.6719 4.89532i 0.534203 0.156856i
\(975\) 4.38497 2.26061i 0.140431 0.0723975i
\(976\) 2.30198 1.81030i 0.0736846 0.0579462i
\(977\) 4.30756 6.04912i 0.137811 0.193529i −0.739903 0.672714i \(-0.765128\pi\)
0.877714 + 0.479185i \(0.159068\pi\)
\(978\) −15.5580 1.48561i −0.497490 0.0475045i
\(979\) 4.01762 + 27.9432i 0.128404 + 0.893067i
\(980\) −4.67665 + 18.9115i −0.149390 + 0.604107i
\(981\) 13.1710 3.86736i 0.420519 0.123475i
\(982\) −31.3931 24.6878i −1.00180 0.787820i
\(983\) −20.5320 3.95722i −0.654870 0.126216i −0.149016 0.988835i \(-0.547611\pi\)
−0.505854 + 0.862619i \(0.668823\pi\)
\(984\) 4.41442 + 2.27579i 0.140727 + 0.0725496i
\(985\) 26.9505 5.19429i 0.858716 0.165504i
\(986\) 5.05315 + 1.48374i 0.160925 + 0.0472518i
\(987\) −6.68820 + 3.84171i −0.212888 + 0.122283i
\(988\) 2.34205 0.0745107
\(989\) 34.6493 + 10.4237i 1.10178 + 0.331455i
\(990\) −3.06820 5.31428i −0.0975138 0.168899i
\(991\) −16.8628 + 1.61021i −0.535666 + 0.0511499i −0.359384 0.933190i \(-0.617013\pi\)
−0.176282 + 0.984340i \(0.556407\pi\)
\(992\) −2.18796 + 2.08621i −0.0694677 + 0.0662374i
\(993\) 11.2966 + 13.0370i 0.358488 + 0.413717i
\(994\) −2.46167 + 3.81185i −0.0780793 + 0.120904i
\(995\) −47.8356 + 55.2053i −1.51649 + 1.75012i
\(996\) −9.51404 7.48193i −0.301464 0.237074i
\(997\) −35.9915 34.3178i −1.13986 1.08686i −0.995249 0.0973668i \(-0.968958\pi\)
−0.144612 0.989488i \(-0.546194\pi\)
\(998\) −0.995712 + 20.9026i −0.0315187 + 0.661659i
\(999\) −4.92257 1.97070i −0.155743 0.0623502i
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 966.2.y.d.121.7 160
7.4 even 3 inner 966.2.y.d.949.2 yes 160
23.4 even 11 inner 966.2.y.d.625.2 yes 160
161.4 even 33 inner 966.2.y.d.487.7 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.y.d.121.7 160 1.1 even 1 trivial
966.2.y.d.487.7 yes 160 161.4 even 33 inner
966.2.y.d.625.2 yes 160 23.4 even 11 inner
966.2.y.d.949.2 yes 160 7.4 even 3 inner