Properties

Label 95.2.p.a.9.5
Level $95$
Weight $2$
Character 95.9
Analytic conductor $0.759$
Analytic rank $0$
Dimension $48$
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] = [95,2,Mod(4,95)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(95, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("95.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 95 = 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 95.p (of order \(18\), 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: \(0.758578819202\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 9.5
Character \(\chi\) \(=\) 95.9
Dual form 95.2.p.a.74.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.240763 - 0.0424530i) q^{2} +(1.76019 + 2.09771i) q^{3} +(-1.82322 + 0.663598i) q^{4} +(0.0152217 - 2.23602i) q^{5} +(0.512843 + 0.430326i) q^{6} +(1.68032 + 0.970136i) q^{7} +(-0.834240 + 0.481648i) q^{8} +(-0.781184 + 4.43031i) q^{9} +O(q^{10})\) \(q+(0.240763 - 0.0424530i) q^{2} +(1.76019 + 2.09771i) q^{3} +(-1.82322 + 0.663598i) q^{4} +(0.0152217 - 2.23602i) q^{5} +(0.512843 + 0.430326i) q^{6} +(1.68032 + 0.970136i) q^{7} +(-0.834240 + 0.481648i) q^{8} +(-0.781184 + 4.43031i) q^{9} +(-0.0912608 - 0.538996i) q^{10} +(-2.11666 - 3.66617i) q^{11} +(-4.60125 - 2.65653i) q^{12} +(-0.816227 + 0.972742i) q^{13} +(0.445745 + 0.162238i) q^{14} +(4.71731 - 3.90388i) q^{15} +(2.79220 - 2.34293i) q^{16} +(2.42284 - 0.427212i) q^{17} +1.09982i q^{18} +(-1.64247 - 4.03761i) q^{19} +(1.45606 + 4.08685i) q^{20} +(0.922623 + 5.23246i) q^{21} +(-0.665255 - 0.792820i) q^{22} +(-1.75701 - 4.82735i) q^{23} +(-2.47878 - 0.902202i) q^{24} +(-4.99954 - 0.0680722i) q^{25} +(-0.155222 + 0.268852i) q^{26} +(-3.55406 + 2.05194i) q^{27} +(-3.70738 - 0.653712i) q^{28} +(-1.50053 + 8.50995i) q^{29} +(0.970023 - 1.14017i) q^{30} +(-2.55042 + 4.41746i) q^{31} +(1.81118 - 2.15849i) q^{32} +(3.96484 - 10.8933i) q^{33} +(0.565193 - 0.205714i) q^{34} +(2.19482 - 3.74247i) q^{35} +(-1.51568 - 8.59583i) q^{36} +11.0305i q^{37} +(-0.566855 - 0.902380i) q^{38} -3.47724 q^{39} +(1.06428 + 1.87270i) q^{40} +(1.91387 - 1.60593i) q^{41} +(0.444267 + 1.22061i) q^{42} +(-1.52842 + 4.19929i) q^{43} +(6.29201 + 5.27962i) q^{44} +(9.89436 + 1.81418i) q^{45} +(-0.627959 - 1.08766i) q^{46} +(6.66617 + 1.17543i) q^{47} +(9.82960 + 1.73322i) q^{48} +(-1.61767 - 2.80189i) q^{49} +(-1.20659 + 0.195856i) q^{50} +(5.16082 + 4.33044i) q^{51} +(0.842653 - 2.31517i) q^{52} +(0.235926 + 0.648201i) q^{53} +(-0.768575 + 0.644911i) q^{54} +(-8.22984 + 4.67709i) q^{55} -1.86906 q^{56} +(5.57868 - 10.5524i) q^{57} +2.11258i q^{58} +(-0.901817 - 5.11446i) q^{59} +(-6.01009 + 10.2480i) q^{60} +(-2.63378 + 0.958619i) q^{61} +(-0.426513 + 1.17183i) q^{62} +(-5.61065 + 6.68651i) q^{63} +(-3.30053 + 5.71668i) q^{64} +(2.16264 + 1.83990i) q^{65} +(0.492133 - 2.79103i) q^{66} +(-5.13308 - 0.905101i) q^{67} +(-4.13387 + 2.38669i) q^{68} +(7.03371 - 12.1828i) q^{69} +(0.369552 - 0.994224i) q^{70} +(-0.744158 - 0.270851i) q^{71} +(-1.48216 - 4.07220i) q^{72} +(-0.910034 - 1.08454i) q^{73} +(0.468279 + 2.65574i) q^{74} +(-8.65733 - 10.6074i) q^{75} +(5.67394 + 6.27151i) q^{76} -8.21381i q^{77} +(-0.837192 + 0.147620i) q^{78} +(4.64448 - 3.89718i) q^{79} +(-5.19634 - 6.27907i) q^{80} +(2.12188 + 0.772300i) q^{81} +(0.392614 - 0.467899i) q^{82} +(10.2643 + 5.92611i) q^{83} +(-5.15439 - 8.92767i) q^{84} +(-0.918372 - 5.42401i) q^{85} +(-0.189714 + 1.07592i) q^{86} +(-20.4926 + 11.8314i) q^{87} +(3.53161 + 2.03898i) q^{88} +(1.71051 + 1.43529i) q^{89} +(2.45921 + 0.0167412i) q^{90} +(-2.31522 + 0.842670i) q^{91} +(6.40684 + 7.63537i) q^{92} +(-13.7558 + 2.42551i) q^{93} +1.65487 q^{94} +(-9.05316 + 3.61113i) q^{95} +7.71591 q^{96} +(8.47901 - 1.49508i) q^{97} +(-0.508425 - 0.605917i) q^{98} +(17.8958 - 6.51353i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9} - 15 q^{10} - 12 q^{11} + 6 q^{14} + 3 q^{15} - 42 q^{16} + 12 q^{19} + 42 q^{20} - 54 q^{21} + 24 q^{24} + 12 q^{25} + 12 q^{26} + 18 q^{30} - 42 q^{31} - 36 q^{34} + 6 q^{35} + 18 q^{36} - 48 q^{39} + 66 q^{40} + 6 q^{41} - 6 q^{44} - 9 q^{45} - 6 q^{46} + 12 q^{49} - 18 q^{50} + 108 q^{51} + 24 q^{54} + 36 q^{56} - 36 q^{59} - 114 q^{60} + 48 q^{61} - 18 q^{65} + 180 q^{66} + 66 q^{69} - 123 q^{70} - 24 q^{71} + 84 q^{74} + 72 q^{75} + 66 q^{76} + 48 q^{79} - 39 q^{80} - 78 q^{81} - 54 q^{84} - 84 q^{85} - 42 q^{86} - 12 q^{89} + 18 q^{90} - 30 q^{91} - 72 q^{94} - 63 q^{95} - 240 q^{96} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.240763 0.0424530i 0.170245 0.0300188i −0.0878757 0.996131i \(-0.528008\pi\)
0.258121 + 0.966113i \(0.416897\pi\)
\(3\) 1.76019 + 2.09771i 1.01625 + 1.21111i 0.977297 + 0.211873i \(0.0679563\pi\)
0.0389482 + 0.999241i \(0.487599\pi\)
\(4\) −1.82322 + 0.663598i −0.911610 + 0.331799i
\(5\) 0.0152217 2.23602i 0.00680737 0.999977i
\(6\) 0.512843 + 0.430326i 0.209367 + 0.175680i
\(7\) 1.68032 + 0.970136i 0.635103 + 0.366677i 0.782726 0.622367i \(-0.213829\pi\)
−0.147623 + 0.989044i \(0.547162\pi\)
\(8\) −0.834240 + 0.481648i −0.294948 + 0.170288i
\(9\) −0.781184 + 4.43031i −0.260395 + 1.47677i
\(10\) −0.0912608 0.538996i −0.0288592 0.170446i
\(11\) −2.11666 3.66617i −0.638198 1.10539i −0.985828 0.167760i \(-0.946347\pi\)
0.347630 0.937632i \(-0.386987\pi\)
\(12\) −4.60125 2.65653i −1.32827 0.766875i
\(13\) −0.816227 + 0.972742i −0.226381 + 0.269790i −0.867264 0.497848i \(-0.834124\pi\)
0.640884 + 0.767638i \(0.278568\pi\)
\(14\) 0.445745 + 0.162238i 0.119130 + 0.0433599i
\(15\) 4.71731 3.90388i 1.21800 1.00798i
\(16\) 2.79220 2.34293i 0.698050 0.585733i
\(17\) 2.42284 0.427212i 0.587624 0.103614i 0.128072 0.991765i \(-0.459121\pi\)
0.459552 + 0.888151i \(0.348010\pi\)
\(18\) 1.09982i 0.259230i
\(19\) −1.64247 4.03761i −0.376809 0.926291i
\(20\) 1.45606 + 4.08685i 0.325586 + 0.913848i
\(21\) 0.922623 + 5.23246i 0.201333 + 1.14182i
\(22\) −0.665255 0.792820i −0.141833 0.169030i
\(23\) −1.75701 4.82735i −0.366362 1.00657i −0.976734 0.214457i \(-0.931202\pi\)
0.610371 0.792115i \(-0.291020\pi\)
\(24\) −2.47878 0.902202i −0.505979 0.184161i
\(25\) −4.99954 0.0680722i −0.999907 0.0136144i
\(26\) −0.155222 + 0.268852i −0.0304415 + 0.0527261i
\(27\) −3.55406 + 2.05194i −0.683979 + 0.394895i
\(28\) −3.70738 0.653712i −0.700629 0.123540i
\(29\) −1.50053 + 8.50995i −0.278642 + 1.58026i 0.448508 + 0.893779i \(0.351956\pi\)
−0.727150 + 0.686479i \(0.759155\pi\)
\(30\) 0.970023 1.14017i 0.177101 0.208166i
\(31\) −2.55042 + 4.41746i −0.458069 + 0.793399i −0.998859 0.0477591i \(-0.984792\pi\)
0.540790 + 0.841158i \(0.318125\pi\)
\(32\) 1.81118 2.15849i 0.320175 0.381570i
\(33\) 3.96484 10.8933i 0.690190 1.89628i
\(34\) 0.565193 0.205714i 0.0969299 0.0352796i
\(35\) 2.19482 3.74247i 0.370992 0.632592i
\(36\) −1.51568 8.59583i −0.252613 1.43264i
\(37\) 11.0305i 1.81341i 0.421770 + 0.906703i \(0.361409\pi\)
−0.421770 + 0.906703i \(0.638591\pi\)
\(38\) −0.566855 0.902380i −0.0919561 0.146385i
\(39\) −3.47724 −0.556805
\(40\) 1.06428 + 1.87270i 0.168277 + 0.296101i
\(41\) 1.91387 1.60593i 0.298897 0.250804i −0.480988 0.876727i \(-0.659722\pi\)
0.779885 + 0.625923i \(0.215278\pi\)
\(42\) 0.444267 + 1.22061i 0.0685519 + 0.188345i
\(43\) −1.52842 + 4.19929i −0.233081 + 0.640386i −0.999999 0.00135976i \(-0.999567\pi\)
0.766918 + 0.641745i \(0.221789\pi\)
\(44\) 6.29201 + 5.27962i 0.948556 + 0.795933i
\(45\) 9.89436 + 1.81418i 1.47496 + 0.270441i
\(46\) −0.627959 1.08766i −0.0925876 0.160366i
\(47\) 6.66617 + 1.17543i 0.972362 + 0.171454i 0.637193 0.770705i \(-0.280096\pi\)
0.335169 + 0.942158i \(0.391207\pi\)
\(48\) 9.82960 + 1.73322i 1.41878 + 0.250169i
\(49\) −1.61767 2.80189i −0.231096 0.400270i
\(50\) −1.20659 + 0.195856i −0.170638 + 0.0276983i
\(51\) 5.16082 + 4.33044i 0.722659 + 0.606383i
\(52\) 0.842653 2.31517i 0.116855 0.321056i
\(53\) 0.235926 + 0.648201i 0.0324069 + 0.0890373i 0.954841 0.297117i \(-0.0960253\pi\)
−0.922434 + 0.386155i \(0.873803\pi\)
\(54\) −0.768575 + 0.644911i −0.104590 + 0.0877613i
\(55\) −8.22984 + 4.67709i −1.10971 + 0.630659i
\(56\) −1.86906 −0.249763
\(57\) 5.57868 10.5524i 0.738914 1.39770i
\(58\) 2.11258i 0.277396i
\(59\) −0.901817 5.11446i −0.117407 0.665846i −0.985530 0.169498i \(-0.945785\pi\)
0.868124 0.496348i \(-0.165326\pi\)
\(60\) −6.01009 + 10.2480i −0.775899 + 1.32302i
\(61\) −2.63378 + 0.958619i −0.337221 + 0.122739i −0.505080 0.863073i \(-0.668537\pi\)
0.167859 + 0.985811i \(0.446315\pi\)
\(62\) −0.426513 + 1.17183i −0.0541672 + 0.148823i
\(63\) −5.61065 + 6.68651i −0.706875 + 0.842421i
\(64\) −3.30053 + 5.71668i −0.412566 + 0.714585i
\(65\) 2.16264 + 1.83990i 0.268243 + 0.228212i
\(66\) 0.492133 2.79103i 0.0605774 0.343551i
\(67\) −5.13308 0.905101i −0.627106 0.110576i −0.148941 0.988846i \(-0.547587\pi\)
−0.478164 + 0.878270i \(0.658698\pi\)
\(68\) −4.13387 + 2.38669i −0.501305 + 0.289429i
\(69\) 7.03371 12.1828i 0.846760 1.46663i
\(70\) 0.369552 0.994224i 0.0441699 0.118833i
\(71\) −0.744158 0.270851i −0.0883153 0.0321441i 0.297485 0.954727i \(-0.403852\pi\)
−0.385800 + 0.922582i \(0.626075\pi\)
\(72\) −1.48216 4.07220i −0.174674 0.479913i
\(73\) −0.910034 1.08454i −0.106511 0.126935i 0.710155 0.704045i \(-0.248625\pi\)
−0.816666 + 0.577110i \(0.804180\pi\)
\(74\) 0.468279 + 2.65574i 0.0544363 + 0.308724i
\(75\) −8.65733 10.6074i −0.999663 1.22484i
\(76\) 5.67394 + 6.27151i 0.650845 + 0.719392i
\(77\) 8.21381i 0.936050i
\(78\) −0.837192 + 0.147620i −0.0947934 + 0.0167146i
\(79\) 4.64448 3.89718i 0.522545 0.438467i −0.342973 0.939345i \(-0.611434\pi\)
0.865518 + 0.500878i \(0.166989\pi\)
\(80\) −5.19634 6.27907i −0.580968 0.702021i
\(81\) 2.12188 + 0.772300i 0.235764 + 0.0858112i
\(82\) 0.392614 0.467899i 0.0433569 0.0516708i
\(83\) 10.2643 + 5.92611i 1.12666 + 0.650476i 0.943092 0.332532i \(-0.107903\pi\)
0.183565 + 0.983008i \(0.441236\pi\)
\(84\) −5.15439 8.92767i −0.562391 0.974089i
\(85\) −0.918372 5.42401i −0.0996114 0.588316i
\(86\) −0.189714 + 1.07592i −0.0204574 + 0.116019i
\(87\) −20.4926 + 11.8314i −2.19704 + 1.26846i
\(88\) 3.53161 + 2.03898i 0.376471 + 0.217356i
\(89\) 1.71051 + 1.43529i 0.181314 + 0.152140i 0.728927 0.684591i \(-0.240019\pi\)
−0.547614 + 0.836731i \(0.684464\pi\)
\(90\) 2.45921 + 0.0167412i 0.259224 + 0.00176467i
\(91\) −2.31522 + 0.842670i −0.242701 + 0.0883358i
\(92\) 6.40684 + 7.63537i 0.667959 + 0.796043i
\(93\) −13.7558 + 2.42551i −1.42641 + 0.251514i
\(94\) 1.65487 0.170687
\(95\) −9.05316 + 3.61113i −0.928835 + 0.370494i
\(96\) 7.71591 0.787501
\(97\) 8.47901 1.49508i 0.860913 0.151802i 0.274275 0.961651i \(-0.411562\pi\)
0.586638 + 0.809849i \(0.300451\pi\)
\(98\) −0.508425 0.605917i −0.0513587 0.0612069i
\(99\) 17.8958 6.51353i 1.79859 0.654635i
\(100\) 9.16043 3.19357i 0.916043 0.319357i
\(101\) −10.3041 8.64614i −1.02529 0.860323i −0.0350095 0.999387i \(-0.511146\pi\)
−0.990283 + 0.139064i \(0.955591\pi\)
\(102\) 1.42637 + 0.823518i 0.141232 + 0.0815404i
\(103\) −3.49510 + 2.01789i −0.344382 + 0.198829i −0.662208 0.749320i \(-0.730381\pi\)
0.317826 + 0.948149i \(0.397047\pi\)
\(104\) 0.212409 1.20463i 0.0208285 0.118124i
\(105\) 11.7139 1.98335i 1.14316 0.193556i
\(106\) 0.0843204 + 0.146047i 0.00818992 + 0.0141854i
\(107\) −14.6869 8.47947i −1.41983 0.819741i −0.423550 0.905873i \(-0.639216\pi\)
−0.996284 + 0.0861313i \(0.972550\pi\)
\(108\) 5.11817 6.09960i 0.492496 0.586934i
\(109\) 6.42343 + 2.33794i 0.615253 + 0.223934i 0.630800 0.775945i \(-0.282727\pi\)
−0.0155471 + 0.999879i \(0.504949\pi\)
\(110\) −1.78288 + 1.47545i −0.169991 + 0.140679i
\(111\) −23.1388 + 19.4158i −2.19624 + 1.84287i
\(112\) 6.96476 1.22808i 0.658108 0.116042i
\(113\) 5.92416i 0.557298i −0.960393 0.278649i \(-0.910113\pi\)
0.960393 0.278649i \(-0.0898867\pi\)
\(114\) 0.895159 2.77746i 0.0838394 0.260133i
\(115\) −10.8208 + 3.85523i −1.00904 + 0.359502i
\(116\) −2.91138 16.5113i −0.270315 1.53303i
\(117\) −3.67193 4.37603i −0.339470 0.404564i
\(118\) −0.434249 1.19309i −0.0399758 0.109833i
\(119\) 4.48561 + 1.63263i 0.411195 + 0.149663i
\(120\) −2.05507 + 5.52886i −0.187601 + 0.504713i
\(121\) −3.46054 + 5.99383i −0.314594 + 0.544893i
\(122\) −0.593422 + 0.342612i −0.0537259 + 0.0310186i
\(123\) 6.73756 + 1.18801i 0.607505 + 0.107120i
\(124\) 1.71856 9.74645i 0.154331 0.875257i
\(125\) −0.228312 + 11.1780i −0.0204209 + 0.999791i
\(126\) −1.06697 + 1.84805i −0.0950536 + 0.164638i
\(127\) 12.3288 14.6929i 1.09400 1.30378i 0.144680 0.989479i \(-0.453785\pi\)
0.949323 0.314303i \(-0.101771\pi\)
\(128\) −2.47938 + 6.81203i −0.219148 + 0.602104i
\(129\) −11.4992 + 4.18537i −1.01245 + 0.368501i
\(130\) 0.598794 + 0.351170i 0.0525177 + 0.0307997i
\(131\) −0.0534819 0.303311i −0.00467273 0.0265004i 0.982382 0.186883i \(-0.0598384\pi\)
−0.987055 + 0.160382i \(0.948727\pi\)
\(132\) 22.4920i 1.95767i
\(133\) 1.15714 8.37791i 0.100337 0.726457i
\(134\) −1.27428 −0.110081
\(135\) 4.53407 + 7.97817i 0.390230 + 0.686651i
\(136\) −1.81546 + 1.52335i −0.155674 + 0.130626i
\(137\) 4.95907 + 13.6249i 0.423682 + 1.16406i 0.949584 + 0.313512i \(0.101506\pi\)
−0.525902 + 0.850545i \(0.676272\pi\)
\(138\) 1.17626 3.23176i 0.100130 0.275106i
\(139\) −12.1014 10.1543i −1.02643 0.861278i −0.0360091 0.999351i \(-0.511465\pi\)
−0.990422 + 0.138074i \(0.955909\pi\)
\(140\) −1.51814 + 8.27982i −0.128306 + 0.699772i
\(141\) 9.26802 + 16.0527i 0.780508 + 1.35188i
\(142\) −0.190664 0.0336192i −0.0160002 0.00282126i
\(143\) 5.29391 + 0.933460i 0.442699 + 0.0780598i
\(144\) 8.19871 + 14.2006i 0.683226 + 1.18338i
\(145\) 19.0055 + 3.48475i 1.57832 + 0.289393i
\(146\) −0.265144 0.222483i −0.0219435 0.0184128i
\(147\) 3.03015 8.32527i 0.249923 0.686657i
\(148\) −7.31983 20.1111i −0.601686 1.65312i
\(149\) 9.54872 8.01233i 0.782262 0.656396i −0.161555 0.986864i \(-0.551651\pi\)
0.943817 + 0.330468i \(0.107207\pi\)
\(150\) −2.53468 2.18634i −0.206956 0.178514i
\(151\) 13.8400 1.12629 0.563143 0.826360i \(-0.309592\pi\)
0.563143 + 0.826360i \(0.309592\pi\)
\(152\) 3.31492 + 2.57724i 0.268876 + 0.209042i
\(153\) 11.0677i 0.894767i
\(154\) −0.348701 1.97758i −0.0280991 0.159358i
\(155\) 9.83868 + 5.77002i 0.790262 + 0.463459i
\(156\) 6.33978 2.30749i 0.507589 0.184747i
\(157\) −6.22373 + 17.0996i −0.496708 + 1.36469i 0.397731 + 0.917502i \(0.369798\pi\)
−0.894438 + 0.447191i \(0.852424\pi\)
\(158\) 0.952772 1.13547i 0.0757985 0.0903331i
\(159\) −0.944465 + 1.63586i −0.0749010 + 0.129732i
\(160\) −4.79884 4.08269i −0.379382 0.322765i
\(161\) 1.73084 9.81605i 0.136409 0.773613i
\(162\) 0.543656 + 0.0958613i 0.0427137 + 0.00753158i
\(163\) 13.2794 7.66687i 1.04012 0.600516i 0.120256 0.992743i \(-0.461629\pi\)
0.919868 + 0.392227i \(0.128295\pi\)
\(164\) −2.42372 + 4.19801i −0.189261 + 0.327809i
\(165\) −24.2972 9.03126i −1.89154 0.703082i
\(166\) 2.72285 + 0.991038i 0.211334 + 0.0769195i
\(167\) 2.12631 + 5.84198i 0.164539 + 0.452066i 0.994372 0.105945i \(-0.0337868\pi\)
−0.829833 + 0.558011i \(0.811565\pi\)
\(168\) −3.28989 3.92074i −0.253821 0.302492i
\(169\) 1.97743 + 11.2145i 0.152110 + 0.862657i
\(170\) −0.451376 1.26691i −0.0346189 0.0971678i
\(171\) 19.1709 4.12255i 1.46604 0.315259i
\(172\) 8.67048i 0.661118i
\(173\) 2.72401 0.480317i 0.207103 0.0365178i −0.0691341 0.997607i \(-0.522024\pi\)
0.276237 + 0.961090i \(0.410913\pi\)
\(174\) −4.43159 + 3.71855i −0.335958 + 0.281902i
\(175\) −8.33480 4.96461i −0.630052 0.375289i
\(176\) −14.4997 5.27747i −1.09296 0.397805i
\(177\) 9.14129 10.8942i 0.687102 0.818856i
\(178\) 0.472760 + 0.272948i 0.0354349 + 0.0204583i
\(179\) −5.68916 9.85392i −0.425228 0.736516i 0.571214 0.820801i \(-0.306473\pi\)
−0.996442 + 0.0842849i \(0.973139\pi\)
\(180\) −19.2435 + 3.25823i −1.43432 + 0.242854i
\(181\) 0.619323 3.51236i 0.0460339 0.261071i −0.953101 0.302652i \(-0.902128\pi\)
0.999135 + 0.0415803i \(0.0132392\pi\)
\(182\) −0.521645 + 0.301172i −0.0386669 + 0.0223243i
\(183\) −6.64686 3.83757i −0.491350 0.283681i
\(184\) 3.79085 + 3.18090i 0.279466 + 0.234499i
\(185\) 24.6644 + 0.167904i 1.81336 + 0.0123445i
\(186\) −3.20891 + 1.16795i −0.235289 + 0.0856381i
\(187\) −6.69456 7.97827i −0.489555 0.583429i
\(188\) −12.9339 + 2.28060i −0.943303 + 0.166330i
\(189\) −7.96263 −0.579196
\(190\) −2.02636 + 1.25376i −0.147008 + 0.0909574i
\(191\) −8.67323 −0.627573 −0.313786 0.949494i \(-0.601598\pi\)
−0.313786 + 0.949494i \(0.601598\pi\)
\(192\) −17.8015 + 3.13888i −1.28471 + 0.226529i
\(193\) 0.271327 + 0.323355i 0.0195306 + 0.0232756i 0.775721 0.631076i \(-0.217386\pi\)
−0.756191 + 0.654351i \(0.772942\pi\)
\(194\) 1.97796 0.719919i 0.142009 0.0516872i
\(195\) −0.0529297 + 7.77517i −0.00379038 + 0.556792i
\(196\) 4.80871 + 4.03498i 0.343479 + 0.288213i
\(197\) −13.1995 7.62075i −0.940427 0.542956i −0.0503329 0.998732i \(-0.516028\pi\)
−0.890094 + 0.455777i \(0.849362\pi\)
\(198\) 4.03213 2.32795i 0.286551 0.165440i
\(199\) −2.24465 + 12.7301i −0.159119 + 0.902410i 0.795803 + 0.605555i \(0.207049\pi\)
−0.954923 + 0.296855i \(0.904062\pi\)
\(200\) 4.20360 2.35123i 0.297239 0.166257i
\(201\) −7.13656 12.3609i −0.503374 0.871869i
\(202\) −2.84789 1.64423i −0.200377 0.115688i
\(203\) −10.7772 + 12.8438i −0.756410 + 0.901455i
\(204\) −12.2830 4.47064i −0.859981 0.313007i
\(205\) −3.56175 4.30390i −0.248764 0.300597i
\(206\) −0.755824 + 0.634212i −0.0526608 + 0.0441876i
\(207\) 22.7592 4.01306i 1.58188 0.278927i
\(208\) 4.62845i 0.320926i
\(209\) −11.3260 + 14.5678i −0.783436 + 1.00768i
\(210\) 2.73608 0.974809i 0.188807 0.0672682i
\(211\) −0.772073 4.37864i −0.0531517 0.301438i 0.946630 0.322322i \(-0.104463\pi\)
−0.999782 + 0.0208833i \(0.993352\pi\)
\(212\) −0.860290 1.02525i −0.0590850 0.0704148i
\(213\) −0.741690 2.03778i −0.0508198 0.139626i
\(214\) −3.89604 1.41804i −0.266328 0.0969353i
\(215\) 9.36641 + 3.48148i 0.638784 + 0.237435i
\(216\) 1.97662 3.42361i 0.134492 0.232947i
\(217\) −8.57106 + 4.94851i −0.581842 + 0.335926i
\(218\) 1.64578 + 0.290195i 0.111466 + 0.0196545i
\(219\) 0.673212 3.81798i 0.0454915 0.257995i
\(220\) 11.9011 13.9887i 0.802372 0.943116i
\(221\) −1.56202 + 2.70550i −0.105073 + 0.181991i
\(222\) −4.74672 + 5.65692i −0.318579 + 0.379668i
\(223\) −3.14622 + 8.64417i −0.210687 + 0.578856i −0.999353 0.0359647i \(-0.988550\pi\)
0.788667 + 0.614821i \(0.210772\pi\)
\(224\) 5.13740 1.86986i 0.343257 0.124935i
\(225\) 4.20714 22.0963i 0.280476 1.47309i
\(226\) −0.251499 1.42632i −0.0167294 0.0948774i
\(227\) 0.600308i 0.0398438i 0.999802 + 0.0199219i \(0.00634176\pi\)
−0.999802 + 0.0199219i \(0.993658\pi\)
\(228\) −3.16862 + 22.9413i −0.209847 + 1.51933i
\(229\) 7.11499 0.470172 0.235086 0.971975i \(-0.424463\pi\)
0.235086 + 0.971975i \(0.424463\pi\)
\(230\) −2.44158 + 1.38757i −0.160993 + 0.0914937i
\(231\) 17.2302 14.4579i 1.13366 0.951257i
\(232\) −2.84700 7.82207i −0.186915 0.513544i
\(233\) 6.89726 18.9501i 0.451854 1.24146i −0.479563 0.877507i \(-0.659205\pi\)
0.931418 0.363952i \(-0.118573\pi\)
\(234\) −1.06984 0.897702i −0.0699376 0.0586846i
\(235\) 2.72974 14.8878i 0.178069 0.971172i
\(236\) 5.03816 + 8.72635i 0.327956 + 0.568037i
\(237\) 16.3503 + 2.88300i 1.06207 + 0.187271i
\(238\) 1.14928 + 0.202649i 0.0744967 + 0.0131358i
\(239\) −5.81710 10.0755i −0.376277 0.651731i 0.614240 0.789119i \(-0.289463\pi\)
−0.990517 + 0.137388i \(0.956129\pi\)
\(240\) 4.02514 21.9528i 0.259822 1.41704i
\(241\) 19.5572 + 16.4104i 1.25979 + 1.05709i 0.995704 + 0.0925884i \(0.0295141\pi\)
0.264084 + 0.964500i \(0.414930\pi\)
\(242\) −0.578714 + 1.59000i −0.0372011 + 0.102209i
\(243\) 6.32567 + 17.3796i 0.405792 + 1.11490i
\(244\) 4.16583 3.49555i 0.266690 0.223779i
\(245\) −6.28970 + 3.57449i −0.401834 + 0.228366i
\(246\) 1.67259 0.106640
\(247\) 5.26818 + 1.69791i 0.335206 + 0.108035i
\(248\) 4.91362i 0.312015i
\(249\) 5.63588 + 31.9627i 0.357160 + 2.02555i
\(250\) 0.419571 + 2.70094i 0.0265360 + 0.170823i
\(251\) −14.4509 + 5.25969i −0.912131 + 0.331988i −0.755103 0.655606i \(-0.772413\pi\)
−0.157027 + 0.987594i \(0.550191\pi\)
\(252\) 5.79229 15.9142i 0.364880 1.00250i
\(253\) −13.9789 + 16.6594i −0.878845 + 1.04737i
\(254\) 2.34456 4.06090i 0.147111 0.254803i
\(255\) 9.76149 11.4738i 0.611288 0.718514i
\(256\) 1.98477 11.2562i 0.124048 0.703512i
\(257\) −15.8096 2.78765i −0.986173 0.173889i −0.342772 0.939419i \(-0.611366\pi\)
−0.643401 + 0.765530i \(0.722477\pi\)
\(258\) −2.59090 + 1.49586i −0.161302 + 0.0931280i
\(259\) −10.7011 + 18.5348i −0.664934 + 1.15170i
\(260\) −5.16393 1.91943i −0.320253 0.119038i
\(261\) −36.5295 13.2957i −2.26112 0.822981i
\(262\) −0.0257529 0.0707556i −0.00159102 0.00437129i
\(263\) 9.15308 + 10.9082i 0.564403 + 0.672629i 0.970472 0.241213i \(-0.0775453\pi\)
−0.406069 + 0.913842i \(0.633101\pi\)
\(264\) 1.93912 + 10.9973i 0.119344 + 0.676836i
\(265\) 1.45298 0.517668i 0.0892559 0.0318001i
\(266\) −0.0770701 2.06622i −0.00472547 0.126688i
\(267\) 6.11453i 0.374203i
\(268\) 9.95937 1.75611i 0.608365 0.107271i
\(269\) −12.4416 + 10.4398i −0.758579 + 0.636523i −0.937756 0.347294i \(-0.887101\pi\)
0.179178 + 0.983817i \(0.442656\pi\)
\(270\) 1.43033 + 1.72836i 0.0870473 + 0.105185i
\(271\) 5.56796 + 2.02657i 0.338230 + 0.123106i 0.505551 0.862797i \(-0.331289\pi\)
−0.167321 + 0.985902i \(0.553512\pi\)
\(272\) 5.76412 6.86941i 0.349501 0.416519i
\(273\) −5.84290 3.37340i −0.353628 0.204167i
\(274\) 1.77238 + 3.06985i 0.107073 + 0.185457i
\(275\) 10.3328 + 18.4732i 0.623090 + 1.11398i
\(276\) −4.73956 + 26.8794i −0.285288 + 1.61795i
\(277\) 5.46407 3.15468i 0.328304 0.189546i −0.326784 0.945099i \(-0.605965\pi\)
0.655088 + 0.755553i \(0.272632\pi\)
\(278\) −3.34466 1.93104i −0.200600 0.115816i
\(279\) −17.5784 14.7500i −1.05239 0.883059i
\(280\) −0.0284503 + 4.17924i −0.00170023 + 0.249758i
\(281\) 2.51801 0.916481i 0.150212 0.0546727i −0.265820 0.964023i \(-0.585643\pi\)
0.416032 + 0.909350i \(0.363420\pi\)
\(282\) 2.91288 + 3.47144i 0.173460 + 0.206721i
\(283\) 30.5923 5.39425i 1.81853 0.320655i 0.842564 0.538597i \(-0.181045\pi\)
0.975962 + 0.217942i \(0.0699343\pi\)
\(284\) 1.53650 0.0911745
\(285\) −23.5104 12.6346i −1.39264 0.748412i
\(286\) 1.31421 0.0777107
\(287\) 4.77390 0.841767i 0.281794 0.0496880i
\(288\) 8.14790 + 9.71029i 0.480120 + 0.572184i
\(289\) −10.2871 + 3.74421i −0.605126 + 0.220248i
\(290\) 4.72377 + 0.0321572i 0.277389 + 0.00188834i
\(291\) 18.0609 + 15.1549i 1.05875 + 0.888396i
\(292\) 2.37889 + 1.37345i 0.139214 + 0.0803752i
\(293\) −0.749675 + 0.432825i −0.0437965 + 0.0252859i −0.521738 0.853106i \(-0.674716\pi\)
0.477942 + 0.878391i \(0.341383\pi\)
\(294\) 0.376116 2.13306i 0.0219355 0.124402i
\(295\) −11.4497 + 1.93863i −0.666630 + 0.112871i
\(296\) −5.31283 9.20209i −0.308802 0.534861i
\(297\) 15.0455 + 8.68652i 0.873029 + 0.504043i
\(298\) 1.95883 2.33445i 0.113472 0.135231i
\(299\) 6.12988 + 2.23110i 0.354500 + 0.129028i
\(300\) 22.8233 + 13.5946i 1.31770 + 0.784887i
\(301\) −6.64212 + 5.57340i −0.382845 + 0.321245i
\(302\) 3.33217 0.587551i 0.191745 0.0338098i
\(303\) 36.8338i 2.11605i
\(304\) −14.0460 7.42561i −0.805591 0.425888i
\(305\) 2.10340 + 5.90377i 0.120440 + 0.338049i
\(306\) 0.469856 + 2.66468i 0.0268599 + 0.152330i
\(307\) −5.77995 6.88828i −0.329879 0.393135i 0.575456 0.817833i \(-0.304825\pi\)
−0.905335 + 0.424698i \(0.860380\pi\)
\(308\) 5.45067 + 14.9756i 0.310581 + 0.853313i
\(309\) −10.3850 3.77983i −0.590781 0.215027i
\(310\) 2.61375 + 0.971526i 0.148451 + 0.0551790i
\(311\) 5.72035 9.90793i 0.324371 0.561827i −0.657014 0.753879i \(-0.728181\pi\)
0.981385 + 0.192051i \(0.0615140\pi\)
\(312\) 2.90086 1.67481i 0.164229 0.0948174i
\(313\) −7.74572 1.36578i −0.437814 0.0771984i −0.0496032 0.998769i \(-0.515796\pi\)
−0.388211 + 0.921571i \(0.626907\pi\)
\(314\) −0.772517 + 4.38116i −0.0435956 + 0.247243i
\(315\) 14.8657 + 12.6473i 0.837589 + 0.712593i
\(316\) −5.88175 + 10.1875i −0.330874 + 0.573091i
\(317\) −10.6230 + 12.6600i −0.596647 + 0.711056i −0.976869 0.213839i \(-0.931403\pi\)
0.380222 + 0.924895i \(0.375848\pi\)
\(318\) −0.157945 + 0.433951i −0.00885712 + 0.0243347i
\(319\) 34.3750 12.5115i 1.92463 0.700509i
\(320\) 12.7323 + 7.46705i 0.711760 + 0.417421i
\(321\) −8.06419 45.7343i −0.450099 2.55264i
\(322\) 2.43682i 0.135799i
\(323\) −5.70435 9.08079i −0.317399 0.505269i
\(324\) −4.38115 −0.243397
\(325\) 4.14697 4.80769i 0.230033 0.266683i
\(326\) 2.87171 2.40965i 0.159049 0.133458i
\(327\) 6.40213 + 17.5897i 0.354039 + 0.972713i
\(328\) −0.823135 + 2.26155i −0.0454500 + 0.124873i
\(329\) 10.0610 + 8.44219i 0.554682 + 0.465433i
\(330\) −6.23329 1.14290i −0.343131 0.0629147i
\(331\) −3.95723 6.85412i −0.217509 0.376736i 0.736537 0.676397i \(-0.236460\pi\)
−0.954046 + 0.299661i \(0.903126\pi\)
\(332\) −22.6467 3.99322i −1.24290 0.219157i
\(333\) −48.8686 8.61686i −2.67798 0.472201i
\(334\) 0.759946 + 1.31627i 0.0415824 + 0.0720228i
\(335\) −2.10196 + 11.4639i −0.114842 + 0.626339i
\(336\) 14.8354 + 12.4484i 0.809340 + 0.679117i
\(337\) −6.51071 + 17.8880i −0.354661 + 0.974423i 0.626191 + 0.779670i \(0.284613\pi\)
−0.980852 + 0.194754i \(0.937609\pi\)
\(338\) 0.952183 + 2.61610i 0.0517919 + 0.142297i
\(339\) 12.4272 10.4276i 0.674952 0.566352i
\(340\) 5.27375 + 9.27973i 0.286010 + 0.503264i
\(341\) 21.5935 1.16936
\(342\) 4.44064 1.80642i 0.240122 0.0976801i
\(343\) 19.8594i 1.07230i
\(344\) −0.747516 4.23937i −0.0403034 0.228572i
\(345\) −27.1338 15.9129i −1.46083 0.856724i
\(346\) 0.635451 0.231285i 0.0341621 0.0124340i
\(347\) −1.86887 + 5.13467i −0.100326 + 0.275644i −0.979694 0.200500i \(-0.935743\pi\)
0.879368 + 0.476143i \(0.157966\pi\)
\(348\) 29.5113 35.1702i 1.58197 1.88532i
\(349\) −3.13218 + 5.42509i −0.167662 + 0.290398i −0.937597 0.347723i \(-0.886955\pi\)
0.769936 + 0.638121i \(0.220288\pi\)
\(350\) −2.21748 0.841458i −0.118529 0.0449778i
\(351\) 0.904915 5.13203i 0.0483008 0.273927i
\(352\) −11.7470 2.07132i −0.626120 0.110402i
\(353\) 7.18280 4.14699i 0.382302 0.220722i −0.296517 0.955027i \(-0.595825\pi\)
0.678819 + 0.734305i \(0.262492\pi\)
\(354\) 1.73840 3.01099i 0.0923947 0.160032i
\(355\) −0.616955 + 1.65983i −0.0327446 + 0.0880944i
\(356\) −4.07109 1.48176i −0.215767 0.0785329i
\(357\) 4.47073 + 12.2832i 0.236616 + 0.650098i
\(358\) −1.78807 2.13094i −0.0945024 0.112624i
\(359\) −2.27231 12.8869i −0.119928 0.680145i −0.984192 0.177106i \(-0.943326\pi\)
0.864264 0.503039i \(-0.167785\pi\)
\(360\) −9.12806 + 3.25215i −0.481091 + 0.171403i
\(361\) −13.6046 + 13.2633i −0.716030 + 0.698069i
\(362\) 0.871938i 0.0458281i
\(363\) −18.6645 + 3.29106i −0.979633 + 0.172736i
\(364\) 3.66196 3.07275i 0.191939 0.161056i
\(365\) −2.43889 + 2.01834i −0.127657 + 0.105645i
\(366\) −1.76324 0.641765i −0.0921658 0.0335456i
\(367\) −16.7730 + 19.9893i −0.875545 + 1.04343i 0.123151 + 0.992388i \(0.460700\pi\)
−0.998696 + 0.0510458i \(0.983745\pi\)
\(368\) −16.2161 9.36236i −0.845322 0.488047i
\(369\) 5.61969 + 9.73359i 0.292549 + 0.506710i
\(370\) 5.94541 1.00665i 0.309087 0.0523335i
\(371\) −0.232411 + 1.31807i −0.0120662 + 0.0684307i
\(372\) 23.4702 13.5505i 1.21687 0.702563i
\(373\) 23.5532 + 13.5984i 1.21954 + 0.704100i 0.964819 0.262915i \(-0.0846840\pi\)
0.254718 + 0.967015i \(0.418017\pi\)
\(374\) −1.95051 1.63667i −0.100858 0.0846301i
\(375\) −23.8501 + 19.1965i −1.23161 + 0.991302i
\(376\) −6.12733 + 2.23017i −0.315993 + 0.115012i
\(377\) −7.05320 8.40568i −0.363258 0.432915i
\(378\) −1.91711 + 0.338038i −0.0986054 + 0.0173868i
\(379\) −13.6999 −0.703714 −0.351857 0.936054i \(-0.614450\pi\)
−0.351857 + 0.936054i \(0.614450\pi\)
\(380\) 14.1096 12.5916i 0.723806 0.645933i
\(381\) 52.5224 2.69080
\(382\) −2.08819 + 0.368205i −0.106841 + 0.0188390i
\(383\) −6.58953 7.85310i −0.336709 0.401275i 0.570948 0.820986i \(-0.306576\pi\)
−0.907658 + 0.419711i \(0.862131\pi\)
\(384\) −18.6538 + 6.78945i −0.951925 + 0.346472i
\(385\) −18.3662 0.125029i −0.936029 0.00637204i
\(386\) 0.0790530 + 0.0663333i 0.00402369 + 0.00337628i
\(387\) −17.4102 10.0518i −0.885010 0.510961i
\(388\) −14.4670 + 8.35251i −0.734449 + 0.424035i
\(389\) 0.878089 4.97989i 0.0445209 0.252490i −0.954422 0.298461i \(-0.903527\pi\)
0.998943 + 0.0459703i \(0.0146380\pi\)
\(390\) 0.317336 + 1.87422i 0.0160689 + 0.0949049i
\(391\) −6.31925 10.9453i −0.319578 0.553526i
\(392\) 2.69905 + 1.55830i 0.136323 + 0.0787060i
\(393\) 0.542120 0.646074i 0.0273463 0.0325901i
\(394\) −3.50148 1.27444i −0.176402 0.0642051i
\(395\) −8.64346 10.4445i −0.434900 0.525518i
\(396\) −28.3056 + 23.7512i −1.42241 + 1.19354i
\(397\) −23.5131 + 4.14599i −1.18009 + 0.208081i −0.729073 0.684435i \(-0.760049\pi\)
−0.451014 + 0.892517i \(0.648938\pi\)
\(398\) 3.16022i 0.158408i
\(399\) 19.6112 12.3194i 0.981790 0.616739i
\(400\) −14.1192 + 11.5235i −0.705960 + 0.576176i
\(401\) −4.30049 24.3893i −0.214756 1.21794i −0.881329 0.472503i \(-0.843351\pi\)
0.666573 0.745440i \(-0.267760\pi\)
\(402\) −2.24298 2.67307i −0.111869 0.133321i
\(403\) −2.21532 6.08655i −0.110353 0.303192i
\(404\) 24.5241 + 8.92606i 1.22012 + 0.444088i
\(405\) 1.75917 4.73280i 0.0874141 0.235175i
\(406\) −2.04949 + 3.54983i −0.101715 + 0.176175i
\(407\) 40.4398 23.3479i 2.00452 1.15731i
\(408\) −6.39111 1.12692i −0.316407 0.0557911i
\(409\) 1.71911 9.74958i 0.0850047 0.482086i −0.912351 0.409409i \(-0.865735\pi\)
0.997356 0.0726764i \(-0.0231540\pi\)
\(410\) −1.04025 0.885013i −0.0513744 0.0437077i
\(411\) −19.8523 + 34.3852i −0.979241 + 1.69609i
\(412\) 5.03326 5.99841i 0.247971 0.295520i
\(413\) 3.44637 9.46884i 0.169585 0.465931i
\(414\) 5.30921 1.93240i 0.260934 0.0949721i
\(415\) 13.4071 22.8610i 0.658130 1.12220i
\(416\) 0.621311 + 3.52363i 0.0304623 + 0.172760i
\(417\) 43.2588i 2.11839i
\(418\) −2.10843 + 3.98822i −0.103127 + 0.195070i
\(419\) −4.00810 −0.195808 −0.0979042 0.995196i \(-0.531214\pi\)
−0.0979042 + 0.995196i \(0.531214\pi\)
\(420\) −20.0409 + 11.3894i −0.977895 + 0.555747i
\(421\) 15.5339 13.0345i 0.757077 0.635263i −0.180287 0.983614i \(-0.557703\pi\)
0.937364 + 0.348351i \(0.113258\pi\)
\(422\) −0.371774 1.02144i −0.0180977 0.0497229i
\(423\) −10.4150 + 28.6150i −0.506395 + 1.39131i
\(424\) −0.509024 0.427122i −0.0247204 0.0207429i
\(425\) −12.1421 + 1.97093i −0.588981 + 0.0956042i
\(426\) −0.265082 0.459135i −0.0128432 0.0222451i
\(427\) −5.35560 0.944337i −0.259176 0.0456997i
\(428\) 32.4044 + 5.71377i 1.56632 + 0.276185i
\(429\) 7.36016 + 12.7482i 0.355352 + 0.615487i
\(430\) 2.40289 + 0.440580i 0.115877 + 0.0212467i
\(431\) 10.3250 + 8.66371i 0.497338 + 0.417316i 0.856648 0.515902i \(-0.172543\pi\)
−0.359309 + 0.933219i \(0.616988\pi\)
\(432\) −5.11609 + 14.0563i −0.246148 + 0.676286i
\(433\) 11.7578 + 32.3043i 0.565045 + 1.55245i 0.812144 + 0.583458i \(0.198301\pi\)
−0.247099 + 0.968990i \(0.579477\pi\)
\(434\) −1.85352 + 1.55529i −0.0889717 + 0.0746561i
\(435\) 26.1433 + 46.0020i 1.25348 + 2.20563i
\(436\) −13.2628 −0.635172
\(437\) −16.6051 + 15.0229i −0.794330 + 0.718643i
\(438\) 0.947808i 0.0452880i
\(439\) −4.06648 23.0621i −0.194082 1.10070i −0.913720 0.406345i \(-0.866803\pi\)
0.719637 0.694350i \(-0.244308\pi\)
\(440\) 4.61294 7.86570i 0.219913 0.374983i
\(441\) 13.6770 4.97801i 0.651284 0.237048i
\(442\) −0.261220 + 0.717696i −0.0124250 + 0.0341373i
\(443\) −1.54197 + 1.83765i −0.0732612 + 0.0873093i −0.801430 0.598088i \(-0.795927\pi\)
0.728169 + 0.685398i \(0.240372\pi\)
\(444\) 29.3029 50.7542i 1.39066 2.40869i
\(445\) 3.23537 3.80288i 0.153371 0.180274i
\(446\) −0.390523 + 2.21476i −0.0184918 + 0.104872i
\(447\) 33.6151 + 5.92725i 1.58994 + 0.280349i
\(448\) −11.0919 + 6.40391i −0.524043 + 0.302557i
\(449\) 19.1010 33.0838i 0.901430 1.56132i 0.0757922 0.997124i \(-0.475851\pi\)
0.825638 0.564200i \(-0.190815\pi\)
\(450\) 0.0748671 5.49859i 0.00352927 0.259206i
\(451\) −9.93864 3.61737i −0.467992 0.170335i
\(452\) 3.93126 + 10.8011i 0.184911 + 0.508039i
\(453\) 24.3611 + 29.0324i 1.14458 + 1.36406i
\(454\) 0.0254849 + 0.144532i 0.00119606 + 0.00678322i
\(455\) 1.84898 + 5.18969i 0.0866816 + 0.243296i
\(456\) 0.428585 + 11.4902i 0.0200703 + 0.538077i
\(457\) 1.87605i 0.0877581i 0.999037 + 0.0438790i \(0.0139716\pi\)
−0.999037 + 0.0438790i \(0.986028\pi\)
\(458\) 1.71303 0.302053i 0.0800445 0.0141140i
\(459\) −7.73430 + 6.48984i −0.361006 + 0.302920i
\(460\) 17.1703 14.2096i 0.800571 0.662525i
\(461\) −15.8060 5.75290i −0.736157 0.267939i −0.0533885 0.998574i \(-0.517002\pi\)
−0.682769 + 0.730634i \(0.739224\pi\)
\(462\) 3.53462 4.21239i 0.164445 0.195978i
\(463\) −21.0999 12.1821i −0.980598 0.566148i −0.0781471 0.996942i \(-0.524900\pi\)
−0.902450 + 0.430794i \(0.858234\pi\)
\(464\) 15.7485 + 27.2771i 0.731104 + 1.26631i
\(465\) 5.21410 + 30.7950i 0.241798 + 1.42809i
\(466\) 0.856118 4.85529i 0.0396589 0.224917i
\(467\) 11.8222 6.82553i 0.547065 0.315848i −0.200873 0.979617i \(-0.564378\pi\)
0.747937 + 0.663770i \(0.231044\pi\)
\(468\) 9.59866 + 5.54179i 0.443698 + 0.256169i
\(469\) −7.74717 6.50065i −0.357731 0.300172i
\(470\) 0.0251900 3.70032i 0.00116193 0.170683i
\(471\) −46.8249 + 17.0429i −2.15758 + 0.785293i
\(472\) 3.21570 + 3.83233i 0.148015 + 0.176397i
\(473\) 18.6305 3.28505i 0.856629 0.151047i
\(474\) 4.05895 0.186434
\(475\) 7.93675 + 20.2980i 0.364163 + 0.931335i
\(476\) −9.26166 −0.424507
\(477\) −3.05604 + 0.538862i −0.139926 + 0.0246728i
\(478\) −1.82828 2.17886i −0.0836236 0.0996587i
\(479\) −20.4294 + 7.43570i −0.933444 + 0.339746i −0.763574 0.645720i \(-0.776557\pi\)
−0.169870 + 0.985466i \(0.554335\pi\)
\(480\) 0.117450 17.2529i 0.00536082 0.787483i
\(481\) −10.7298 9.00341i −0.489239 0.410520i
\(482\) 5.40532 + 3.12076i 0.246206 + 0.142147i
\(483\) 23.6378 13.6473i 1.07556 0.620974i
\(484\) 2.33183 13.2245i 0.105992 0.601112i
\(485\) −3.21395 18.9820i −0.145938 0.861927i
\(486\) 2.26080 + 3.91583i 0.102552 + 0.177626i
\(487\) 25.3273 + 14.6227i 1.14769 + 0.662618i 0.948323 0.317307i \(-0.102778\pi\)
0.199366 + 0.979925i \(0.436112\pi\)
\(488\) 1.73549 2.06828i 0.0785619 0.0936264i
\(489\) 39.4572 + 14.3612i 1.78431 + 0.649437i
\(490\) −1.36258 + 1.12762i −0.0615551 + 0.0509408i
\(491\) −14.0612 + 11.7987i −0.634572 + 0.532469i −0.902346 0.431012i \(-0.858157\pi\)
0.267774 + 0.963482i \(0.413712\pi\)
\(492\) −13.0724 + 2.30502i −0.589350 + 0.103918i
\(493\) 21.2593i 0.957469i
\(494\) 1.34046 + 0.185143i 0.0603104 + 0.00832997i
\(495\) −14.2920 40.1144i −0.642376 1.80301i
\(496\) 3.22853 + 18.3099i 0.144965 + 0.822138i
\(497\) −0.987664 1.17705i −0.0443028 0.0527980i
\(498\) 2.71383 + 7.45618i 0.121609 + 0.334119i
\(499\) 9.78774 + 3.56245i 0.438159 + 0.159477i 0.551675 0.834059i \(-0.313989\pi\)
−0.113516 + 0.993536i \(0.536211\pi\)
\(500\) −7.00144 20.5315i −0.313114 0.918196i
\(501\) −8.51208 + 14.7434i −0.380292 + 0.658685i
\(502\) −3.25595 + 1.87982i −0.145320 + 0.0839006i
\(503\) −4.29111 0.756638i −0.191331 0.0337368i 0.0771614 0.997019i \(-0.475414\pi\)
−0.268492 + 0.963282i \(0.586525\pi\)
\(504\) 1.46008 8.28051i 0.0650370 0.368843i
\(505\) −19.4898 + 22.9084i −0.867282 + 1.01941i
\(506\) −2.65836 + 4.60441i −0.118178 + 0.204691i
\(507\) −20.0442 + 23.8878i −0.890196 + 1.06089i
\(508\) −12.7279 + 34.9697i −0.564711 + 1.55153i
\(509\) −35.9534 + 13.0860i −1.59361 + 0.580026i −0.978106 0.208109i \(-0.933269\pi\)
−0.615502 + 0.788135i \(0.711047\pi\)
\(510\) 1.86311 3.17686i 0.0825000 0.140674i
\(511\) −0.477005 2.70523i −0.0211015 0.119672i
\(512\) 17.2928i 0.764239i
\(513\) 14.1224 + 10.9797i 0.623517 + 0.484764i
\(514\) −3.92470 −0.173111
\(515\) 4.45884 + 7.84581i 0.196480 + 0.345728i
\(516\) 18.1882 15.2617i 0.800690 0.671858i
\(517\) −9.80074 26.9273i −0.431036 1.18426i
\(518\) −1.78957 + 4.91680i −0.0786292 + 0.216032i
\(519\) 5.80235 + 4.86875i 0.254695 + 0.213714i
\(520\) −2.69035 0.493288i −0.117980 0.0216321i
\(521\) 1.24406 + 2.15478i 0.0545033 + 0.0944025i 0.891990 0.452056i \(-0.149309\pi\)
−0.837486 + 0.546458i \(0.815976\pi\)
\(522\) −9.35941 1.65032i −0.409650 0.0722324i
\(523\) −19.1578 3.37803i −0.837712 0.147711i −0.261696 0.965150i \(-0.584282\pi\)
−0.576015 + 0.817439i \(0.695393\pi\)
\(524\) 0.298786 + 0.517512i 0.0130525 + 0.0226076i
\(525\) −4.25650 26.2227i −0.185769 1.14445i
\(526\) 2.66681 + 2.23772i 0.116278 + 0.0975692i
\(527\) −4.29206 + 11.7923i −0.186965 + 0.513683i
\(528\) −14.4517 39.7056i −0.628928 1.72797i
\(529\) −2.59720 + 2.17931i −0.112922 + 0.0947525i
\(530\) 0.327848 0.186319i 0.0142408 0.00809317i
\(531\) 23.3631 1.01387
\(532\) 3.44984 + 16.0427i 0.149569 + 0.695538i
\(533\) 3.17251i 0.137417i
\(534\) 0.259581 + 1.47215i 0.0112332 + 0.0637064i
\(535\) −19.1838 + 32.7110i −0.829388 + 1.41422i
\(536\) 4.71816 1.71727i 0.203794 0.0741748i
\(537\) 10.6567 29.2790i 0.459869 1.26348i
\(538\) −2.55228 + 3.04169i −0.110037 + 0.131137i
\(539\) −6.84814 + 11.8613i −0.294970 + 0.510904i
\(540\) −13.5609 11.5372i −0.583568 0.496480i
\(541\) 2.51035 14.2369i 0.107928 0.612093i −0.882082 0.471097i \(-0.843858\pi\)
0.990010 0.140996i \(-0.0450305\pi\)
\(542\) 1.42659 + 0.251547i 0.0612775 + 0.0108049i
\(543\) 8.45804 4.88325i 0.362969 0.209560i
\(544\) 3.46608 6.00342i 0.148607 0.257394i
\(545\) 5.32544 14.3273i 0.228117 0.613714i
\(546\) −1.54997 0.564141i −0.0663324 0.0241430i
\(547\) −10.7381 29.5027i −0.459128 1.26144i −0.926136 0.377191i \(-0.876890\pi\)
0.467007 0.884253i \(-0.345332\pi\)
\(548\) −18.0830 21.5504i −0.772466 0.920589i
\(549\) −2.18951 12.4173i −0.0934461 0.529959i
\(550\) 3.27200 + 4.00902i 0.139518 + 0.170945i
\(551\) 36.8244 7.91878i 1.56877 0.337351i
\(552\) 13.5511i 0.576774i
\(553\) 11.5850 2.04275i 0.492646 0.0868667i
\(554\) 1.18162 0.991497i 0.0502022 0.0421247i
\(555\) 43.0618 + 52.0344i 1.82787 + 2.20874i
\(556\) 28.8020 + 10.4831i 1.22148 + 0.444581i
\(557\) 19.5718 23.3248i 0.829286 0.988304i −0.170710 0.985321i \(-0.554606\pi\)
0.999996 0.00298303i \(-0.000949529\pi\)
\(558\) −4.85840 2.80500i −0.205673 0.118745i
\(559\) −2.83729 4.91433i −0.120005 0.207854i
\(560\) −2.63998 15.5920i −0.111560 0.658883i
\(561\) 4.95241 28.0865i 0.209091 1.18581i
\(562\) 0.567337 0.327552i 0.0239317 0.0138169i
\(563\) −23.1239 13.3506i −0.974558 0.562661i −0.0739355 0.997263i \(-0.523556\pi\)
−0.900623 + 0.434602i \(0.856889\pi\)
\(564\) −27.5502 23.1173i −1.16007 0.973416i
\(565\) −13.2465 0.0901761i −0.557286 0.00379374i
\(566\) 7.13650 2.59747i 0.299970 0.109180i
\(567\) 2.81621 + 3.35622i 0.118270 + 0.140948i
\(568\) 0.751261 0.132468i 0.0315222 0.00555822i
\(569\) 25.6513 1.07536 0.537679 0.843150i \(-0.319301\pi\)
0.537679 + 0.843150i \(0.319301\pi\)
\(570\) −6.19681 2.04387i −0.259556 0.0856082i
\(571\) 2.93559 0.122851 0.0614253 0.998112i \(-0.480435\pi\)
0.0614253 + 0.998112i \(0.480435\pi\)
\(572\) −10.2714 + 1.81113i −0.429470 + 0.0757271i
\(573\) −15.2665 18.1939i −0.637768 0.760062i
\(574\) 1.11364 0.405333i 0.0464826 0.0169183i
\(575\) 8.45564 + 24.2541i 0.352624 + 1.01147i
\(576\) −22.7484 19.0881i −0.947848 0.795339i
\(577\) 15.3921 + 8.88661i 0.640780 + 0.369954i 0.784915 0.619604i \(-0.212707\pi\)
−0.144135 + 0.989558i \(0.546040\pi\)
\(578\) −2.31781 + 1.33819i −0.0964083 + 0.0556613i
\(579\) −0.200719 + 1.13833i −0.00834158 + 0.0473075i
\(580\) −36.9638 + 6.25857i −1.53484 + 0.259873i
\(581\) 11.4983 + 19.9156i 0.477029 + 0.826238i
\(582\) 4.99177 + 2.88200i 0.206916 + 0.119463i
\(583\) 1.87704 2.23697i 0.0777391 0.0926458i
\(584\) 1.28155 + 0.466447i 0.0530310 + 0.0193017i
\(585\) −9.84077 + 8.14387i −0.406866 + 0.336708i
\(586\) −0.162119 + 0.136034i −0.00669709 + 0.00561952i
\(587\) −22.7723 + 4.01538i −0.939915 + 0.165732i −0.622558 0.782574i \(-0.713906\pi\)
−0.317357 + 0.948306i \(0.602795\pi\)
\(588\) 17.1896i 0.708887i
\(589\) 22.0250 + 3.04205i 0.907522 + 0.125346i
\(590\) −2.67438 + 0.952826i −0.110102 + 0.0392272i
\(591\) −7.24752 41.1027i −0.298123 1.69074i
\(592\) 25.8438 + 30.7994i 1.06217 + 1.26585i
\(593\) 5.86817 + 16.1227i 0.240977 + 0.662078i 0.999940 + 0.0109447i \(0.00348389\pi\)
−0.758963 + 0.651133i \(0.774294\pi\)
\(594\) 3.99117 + 1.45267i 0.163760 + 0.0596037i
\(595\) 3.71886 10.0050i 0.152458 0.410166i
\(596\) −12.0925 + 20.9448i −0.495327 + 0.857931i
\(597\) −30.6550 + 17.6987i −1.25463 + 0.724358i
\(598\) 1.57057 + 0.276933i 0.0642253 + 0.0113246i
\(599\) 2.32632 13.1932i 0.0950508 0.539060i −0.899681 0.436548i \(-0.856201\pi\)
0.994732 0.102512i \(-0.0326880\pi\)
\(600\) 12.3313 + 4.67933i 0.503424 + 0.191033i
\(601\) −4.13126 + 7.15554i −0.168517 + 0.291881i −0.937899 0.346909i \(-0.887231\pi\)
0.769381 + 0.638790i \(0.220565\pi\)
\(602\) −1.36257 + 1.62385i −0.0555342 + 0.0661830i
\(603\) 8.01976 22.0341i 0.326590 0.897298i
\(604\) −25.2334 + 9.18421i −1.02673 + 0.373700i
\(605\) 13.3496 + 7.82905i 0.542739 + 0.318296i
\(606\) −1.56371 8.86822i −0.0635212 0.360247i
\(607\) 23.5191i 0.954612i −0.878737 0.477306i \(-0.841613\pi\)
0.878737 0.477306i \(-0.158387\pi\)
\(608\) −11.6899 3.76761i −0.474090 0.152797i
\(609\) −45.9124 −1.86046
\(610\) 0.757053 + 1.33212i 0.0306522 + 0.0539358i
\(611\) −6.58450 + 5.52505i −0.266380 + 0.223520i
\(612\) −7.34447 20.1788i −0.296883 0.815679i
\(613\) 10.2029 28.0323i 0.412092 1.13221i −0.543984 0.839095i \(-0.683085\pi\)
0.956076 0.293118i \(-0.0946928\pi\)
\(614\) −1.68403 1.41307i −0.0679619 0.0570268i
\(615\) 2.75897 15.0472i 0.111253 0.606762i
\(616\) 3.95617 + 6.85228i 0.159399 + 0.276086i
\(617\) 11.4142 + 2.01262i 0.459516 + 0.0810251i 0.398614 0.917119i \(-0.369491\pi\)
0.0609020 + 0.998144i \(0.480602\pi\)
\(618\) −2.66079 0.469169i −0.107033 0.0188727i
\(619\) 14.8349 + 25.6947i 0.596264 + 1.03276i 0.993367 + 0.114985i \(0.0366820\pi\)
−0.397104 + 0.917774i \(0.629985\pi\)
\(620\) −21.7671 3.99109i −0.874186 0.160286i
\(621\) 16.1499 + 13.5514i 0.648075 + 0.543799i
\(622\) 0.956627 2.62831i 0.0383573 0.105386i
\(623\) 1.48179 + 4.07118i 0.0593666 + 0.163108i
\(624\) −9.70916 + 8.14695i −0.388677 + 0.326139i
\(625\) 24.9907 + 0.680658i 0.999629 + 0.0272263i
\(626\) −1.92287 −0.0768532
\(627\) −50.4950 + 1.88347i −2.01658 + 0.0752185i
\(628\) 35.3063i 1.40888i
\(629\) 4.71236 + 26.7251i 0.187894 + 1.06560i
\(630\) 4.11604 + 2.41390i 0.163987 + 0.0961722i
\(631\) 23.0191 8.37827i 0.916376 0.333534i 0.159580 0.987185i \(-0.448986\pi\)
0.756796 + 0.653651i \(0.226764\pi\)
\(632\) −1.99754 + 5.48819i −0.0794578 + 0.218308i
\(633\) 7.82614 9.32683i 0.311061 0.370708i
\(634\) −2.02017 + 3.49904i −0.0802313 + 0.138965i
\(635\) −32.6658 27.7910i −1.29630 1.10285i
\(636\) 0.636414 3.60928i 0.0252354 0.143117i
\(637\) 4.04591 + 0.713402i 0.160305 + 0.0282660i
\(638\) 7.74509 4.47163i 0.306631 0.177034i
\(639\) 1.78128 3.08527i 0.0704663 0.122051i
\(640\) 15.1941 + 5.64762i 0.600599 + 0.223242i
\(641\) −11.6336 4.23428i −0.459499 0.167244i 0.101890 0.994796i \(-0.467511\pi\)
−0.561390 + 0.827552i \(0.689733\pi\)
\(642\) −3.88312 10.6688i −0.153254 0.421063i
\(643\) −29.5099 35.1685i −1.16376 1.38691i −0.907369 0.420336i \(-0.861912\pi\)
−0.256387 0.966574i \(-0.582532\pi\)
\(644\) 3.35822 + 19.0454i 0.132332 + 0.750494i
\(645\) 9.18351 + 25.7761i 0.361600 + 1.01493i
\(646\) −1.75891 1.94415i −0.0692032 0.0764916i
\(647\) 33.6773i 1.32399i 0.749508 + 0.661996i \(0.230290\pi\)
−0.749508 + 0.661996i \(0.769710\pi\)
\(648\) −2.14213 + 0.377716i −0.0841509 + 0.0148381i
\(649\) −16.8416 + 14.1318i −0.661092 + 0.554722i
\(650\) 0.794337 1.33357i 0.0311565 0.0523068i
\(651\) −25.4672 9.26931i −0.998139 0.363293i
\(652\) −19.1236 + 22.7906i −0.748937 + 0.892549i
\(653\) 17.0057 + 9.81827i 0.665486 + 0.384219i 0.794364 0.607442i \(-0.207804\pi\)
−0.128878 + 0.991660i \(0.541138\pi\)
\(654\) 2.28813 + 3.96316i 0.0894731 + 0.154972i
\(655\) −0.679022 + 0.114969i −0.0265316 + 0.00449223i
\(656\) 1.58133 8.96816i 0.0617405 0.350148i
\(657\) 5.51574 3.18451i 0.215189 0.124240i
\(658\) 2.78072 + 1.60545i 0.108404 + 0.0625869i
\(659\) −15.9102 13.3503i −0.619775 0.520053i 0.277958 0.960593i \(-0.410342\pi\)
−0.897733 + 0.440540i \(0.854787\pi\)
\(660\) 50.2924 + 0.342367i 1.95763 + 0.0133266i
\(661\) −12.4567 + 4.53386i −0.484508 + 0.176347i −0.572713 0.819756i \(-0.694109\pi\)
0.0882049 + 0.996102i \(0.471887\pi\)
\(662\) −1.24373 1.48222i −0.0483390 0.0576082i
\(663\) −8.42480 + 1.48552i −0.327192 + 0.0576928i
\(664\) −11.4172 −0.443074
\(665\) −18.7155 2.71492i −0.725757 0.105280i
\(666\) −12.1316 −0.470089
\(667\) 43.7170 7.70848i 1.69273 0.298473i
\(668\) −7.75345 9.24020i −0.299990 0.357514i
\(669\) −23.6709 + 8.61551i −0.915171 + 0.333095i
\(670\) −0.0193968 + 2.84931i −0.000749364 + 0.110079i
\(671\) 9.08930 + 7.62682i 0.350888 + 0.294430i
\(672\) 12.9652 + 7.48548i 0.500144 + 0.288759i
\(673\) −11.1350 + 6.42879i −0.429223 + 0.247812i −0.699015 0.715107i \(-0.746378\pi\)
0.269793 + 0.962918i \(0.413045\pi\)
\(674\) −0.808138 + 4.58318i −0.0311283 + 0.176537i
\(675\) 17.9083 10.0168i 0.689292 0.385547i
\(676\) −11.0472 19.1344i −0.424894 0.735937i
\(677\) 22.1332 + 12.7786i 0.850649 + 0.491122i 0.860870 0.508825i \(-0.169920\pi\)
−0.0102207 + 0.999948i \(0.503253\pi\)
\(678\) 2.54932 3.03816i 0.0979062 0.116680i
\(679\) 15.6979 + 5.71357i 0.602431 + 0.219267i
\(680\) 3.37861 + 4.08259i 0.129564 + 0.156560i
\(681\) −1.25927 + 1.05665i −0.0482554 + 0.0404911i
\(682\) 5.19893 0.916711i 0.199077 0.0351027i
\(683\) 22.8692i 0.875064i 0.899203 + 0.437532i \(0.144147\pi\)
−0.899203 + 0.437532i \(0.855853\pi\)
\(684\) −32.2171 + 20.2381i −1.23185 + 0.773824i
\(685\) 30.5411 10.8812i 1.16691 0.415748i
\(686\) −0.843090 4.78140i −0.0321893 0.182555i
\(687\) 12.5237 + 14.9252i 0.477810 + 0.569432i
\(688\) 5.57101 + 15.3062i 0.212393 + 0.583545i
\(689\) −0.823102 0.299585i −0.0313577 0.0114133i
\(690\) −7.20836 2.67934i −0.274418 0.102001i
\(691\) 16.1574 27.9854i 0.614657 1.06462i −0.375788 0.926706i \(-0.622628\pi\)
0.990445 0.137911i \(-0.0440388\pi\)
\(692\) −4.64774 + 2.68337i −0.176681 + 0.102007i
\(693\) 36.3897 + 6.41649i 1.38233 + 0.243742i
\(694\) −0.231972 + 1.31558i −0.00880554 + 0.0499387i
\(695\) −22.8894 + 26.9045i −0.868245 + 1.02054i
\(696\) 11.3972 19.7405i 0.432009 0.748262i
\(697\) 3.95093 4.70854i 0.149652 0.178349i
\(698\) −0.523801 + 1.43913i −0.0198262 + 0.0544719i
\(699\) 51.8922 18.8872i 1.96274 0.714381i
\(700\) 18.4907 + 3.52062i 0.698883 + 0.133067i
\(701\) 6.03353 + 34.2179i 0.227883 + 1.29239i 0.857096 + 0.515157i \(0.172266\pi\)
−0.629212 + 0.777233i \(0.716622\pi\)
\(702\) 1.27402i 0.0480848i
\(703\) 44.5369 18.1173i 1.67974 0.683307i
\(704\) 27.9444 1.05319
\(705\) 36.0351 20.4791i 1.35716 0.771287i
\(706\) 1.55330 1.30337i 0.0584593 0.0490531i
\(707\) −8.92625 24.5247i −0.335706 0.922345i
\(708\) −9.43724 + 25.9286i −0.354673 + 0.974457i
\(709\) −6.13431 5.14730i −0.230379 0.193311i 0.520290 0.853990i \(-0.325824\pi\)
−0.750669 + 0.660679i \(0.770268\pi\)
\(710\) −0.0780754 + 0.425817i −0.00293012 + 0.0159806i
\(711\) 13.6375 + 23.6209i 0.511448 + 0.885853i
\(712\) −2.11828 0.373510i −0.0793859 0.0139979i
\(713\) 25.8057 + 4.55025i 0.966432 + 0.170408i
\(714\) 1.59785 + 2.76755i 0.0597980 + 0.103573i
\(715\) 2.16781 11.8231i 0.0810717 0.442158i
\(716\) 16.9116 + 14.1905i 0.632018 + 0.530326i
\(717\) 10.8963 29.9374i 0.406931 1.11803i
\(718\) −1.09418 3.00622i −0.0408343 0.112191i
\(719\) −10.9307 + 9.17191i −0.407645 + 0.342055i −0.823440 0.567404i \(-0.807948\pi\)
0.415795 + 0.909458i \(0.363503\pi\)
\(720\) 31.8775 18.1163i 1.18800 0.675154i
\(721\) −7.83053 −0.291624
\(722\) −2.71241 + 3.77087i −0.100946 + 0.140337i
\(723\) 69.9107i 2.60001i
\(724\) 1.20163 + 6.81478i 0.0446582 + 0.253269i
\(725\) 8.08126 42.4437i 0.300131 1.57632i
\(726\) −4.35401 + 1.58473i −0.161593 + 0.0588149i
\(727\) 1.07271 2.94724i 0.0397846 0.109307i −0.918210 0.396095i \(-0.870365\pi\)
0.957994 + 0.286788i \(0.0925874\pi\)
\(728\) 1.52558 1.81811i 0.0565416 0.0673836i
\(729\) −21.9360 + 37.9942i −0.812444 + 1.40719i
\(730\) −0.501511 + 0.589481i −0.0185617 + 0.0218177i
\(731\) −1.90912 + 10.8272i −0.0706113 + 0.400457i
\(732\) 14.6653 + 2.58589i 0.542045 + 0.0955772i
\(733\) −10.7391 + 6.20021i −0.396657 + 0.229010i −0.685041 0.728505i \(-0.740216\pi\)
0.288384 + 0.957515i \(0.406882\pi\)
\(734\) −3.18972 + 5.52476i −0.117735 + 0.203922i
\(735\) −18.5693 6.90219i −0.684940 0.254591i
\(736\) −13.6020 4.95074i −0.501378 0.182487i
\(737\) 7.54676 + 20.7346i 0.277988 + 0.763767i
\(738\) 1.76623 + 2.10492i 0.0650160 + 0.0774830i
\(739\) 1.62242 + 9.20119i 0.0596816 + 0.338471i 0.999998 0.00182926i \(-0.000582271\pi\)
−0.940317 + 0.340301i \(0.889471\pi\)
\(740\) −45.0801 + 16.0611i −1.65718 + 0.590419i
\(741\) 5.71127 + 14.0398i 0.209809 + 0.515763i
\(742\) 0.327209i 0.0120122i
\(743\) −37.7365 + 6.65396i −1.38442 + 0.244110i −0.815725 0.578441i \(-0.803661\pi\)
−0.568692 + 0.822551i \(0.692550\pi\)
\(744\) 10.3074 8.64890i 0.377886 0.317084i
\(745\) −17.7704 21.4731i −0.651055 0.786712i
\(746\) 6.24803 + 2.27410i 0.228757 + 0.0832606i
\(747\) −34.2729 + 40.8448i −1.25398 + 1.49443i
\(748\) 17.5000 + 10.1036i 0.639864 + 0.369426i
\(749\) −16.4525 28.4965i −0.601160 1.04124i
\(750\) −4.92728 + 5.63431i −0.179919 + 0.205736i
\(751\) −8.51519 + 48.2921i −0.310724 + 1.76220i 0.284533 + 0.958666i \(0.408162\pi\)
−0.595257 + 0.803536i \(0.702950\pi\)
\(752\) 21.3672 12.3364i 0.779183 0.449861i
\(753\) −36.4696 21.0557i −1.32902 0.767313i
\(754\) −2.05500 1.72435i −0.0748386 0.0627971i
\(755\) 0.210669 30.9465i 0.00766704 1.12626i
\(756\) 14.5176 5.28399i 0.528001 0.192177i
\(757\) −23.6504 28.1855i −0.859590 1.02442i −0.999414 0.0342429i \(-0.989098\pi\)
0.139824 0.990176i \(-0.455346\pi\)
\(758\) −3.29842 + 0.581600i −0.119804 + 0.0211247i
\(759\) −59.5521 −2.16160
\(760\) 5.81321 7.37299i 0.210867 0.267447i
\(761\) −0.255560 −0.00926406 −0.00463203 0.999989i \(-0.501474\pi\)
−0.00463203 + 0.999989i \(0.501474\pi\)
\(762\) 12.6455 2.22973i 0.458096 0.0807748i
\(763\) 8.52533 + 10.1601i 0.308638 + 0.367820i
\(764\) 15.8132 5.75554i 0.572102 0.208228i
\(765\) 24.7475 + 0.168469i 0.894746 + 0.00609101i
\(766\) −1.91990 1.61099i −0.0693690 0.0582075i
\(767\) 5.71114 + 3.29733i 0.206217 + 0.119060i
\(768\) 27.1058 15.6495i 0.978096 0.564704i
\(769\) 1.64209 9.31277i 0.0592154 0.335827i −0.940780 0.339019i \(-0.889905\pi\)
0.999995 + 0.00319194i \(0.00101603\pi\)
\(770\) −4.42721 + 0.749599i −0.159546 + 0.0270137i
\(771\) −21.9801 38.0707i −0.791594 1.37108i
\(772\) −0.709267 0.409495i −0.0255271 0.0147381i
\(773\) −19.4288 + 23.1544i −0.698807 + 0.832806i −0.992391 0.123128i \(-0.960708\pi\)
0.293584 + 0.955933i \(0.405152\pi\)
\(774\) −4.61846 1.68098i −0.166007 0.0604217i
\(775\) 13.0516 21.9116i 0.468828 0.787089i
\(776\) −6.35342 + 5.33116i −0.228075 + 0.191377i
\(777\) −57.7167 + 10.1770i −2.07058 + 0.365098i
\(778\) 1.23625i 0.0443217i
\(779\) −9.62760 5.08978i −0.344945 0.182360i
\(780\) −5.06309 14.2110i −0.181288 0.508835i
\(781\) 0.582145 + 3.30151i 0.0208308 + 0.118137i
\(782\) −1.98610 2.36695i −0.0710229 0.0846418i
\(783\) −12.1289 33.3239i −0.433451 1.19090i
\(784\) −11.0815 4.03334i −0.395768 0.144048i
\(785\) 38.1401 + 14.1766i 1.36128 + 0.505986i
\(786\) 0.103095 0.178565i 0.00367727 0.00636922i
\(787\) 31.5212 18.1988i 1.12361 0.648717i 0.181291 0.983430i \(-0.441973\pi\)
0.942320 + 0.334712i \(0.108639\pi\)
\(788\) 29.1228 + 5.13513i 1.03746 + 0.182931i
\(789\) −6.77114 + 38.4010i −0.241059 + 1.36711i
\(790\) −2.52443 2.14770i −0.0898151 0.0764117i
\(791\) 5.74724 9.95452i 0.204348 0.353942i
\(792\) −11.7921 + 14.0533i −0.419015 + 0.499363i
\(793\) 1.21728 3.34444i 0.0432268 0.118765i
\(794\) −5.48507 + 1.99640i −0.194658 + 0.0708497i
\(795\) 3.64344 + 2.13674i 0.129219 + 0.0757824i
\(796\) −4.35514 24.6993i −0.154364 0.875442i
\(797\) 19.2118i 0.680517i −0.940332 0.340258i \(-0.889485\pi\)
0.940332 0.340258i \(-0.110515\pi\)
\(798\) 4.19867 3.79860i 0.148631 0.134469i
\(799\) 16.6532 0.589148
\(800\) −9.20202 + 10.6681i −0.325340 + 0.377176i
\(801\) −7.69500 + 6.45687i −0.271889 + 0.228142i
\(802\) −2.07080 5.68947i −0.0731224 0.200902i
\(803\) −2.04986 + 5.63194i −0.0723379 + 0.198747i
\(804\) 21.2142 + 17.8008i 0.748166 + 0.627786i
\(805\) −21.9225 4.01959i −0.772667 0.141672i
\(806\) −0.791760 1.37137i −0.0278886 0.0483044i
\(807\) −43.7992 7.72298i −1.54180 0.271862i
\(808\) 12.7605 + 2.25001i 0.448911 + 0.0791552i
\(809\) −21.5251 37.2825i −0.756781 1.31078i −0.944484 0.328557i \(-0.893438\pi\)
0.187703 0.982226i \(-0.439896\pi\)
\(810\) 0.222623 1.21417i 0.00782217 0.0426614i
\(811\) −23.9988 20.1373i −0.842710 0.707118i 0.115461 0.993312i \(-0.463165\pi\)
−0.958172 + 0.286194i \(0.907610\pi\)
\(812\) 11.1261 30.5687i 0.390450 1.07275i
\(813\) 5.54950 + 15.2471i 0.194629 + 0.534740i
\(814\) 8.74521 7.33810i 0.306520 0.257200i
\(815\) −16.9411 29.8097i −0.593422 1.04419i
\(816\) 24.5560 0.859631
\(817\) 19.4655 0.726064i 0.681011 0.0254018i
\(818\) 2.42032i 0.0846245i
\(819\) −1.92468 10.9154i −0.0672539 0.381416i
\(820\) 9.34992 + 5.48338i 0.326513 + 0.191488i
\(821\) −16.0413 + 5.83857i −0.559847 + 0.203768i −0.606416 0.795148i \(-0.707393\pi\)
0.0465693 + 0.998915i \(0.485171\pi\)
\(822\) −3.31994 + 9.12147i −0.115796 + 0.318148i
\(823\) −23.3420 + 27.8179i −0.813650 + 0.969670i −0.999918 0.0128292i \(-0.995916\pi\)
0.186268 + 0.982499i \(0.440361\pi\)
\(824\) 1.94383 3.36682i 0.0677166 0.117289i
\(825\) −20.5639 + 54.1916i −0.715943 + 1.88671i
\(826\) 0.427779 2.42606i 0.0148843 0.0844133i
\(827\) 19.0492 + 3.35888i 0.662404 + 0.116800i 0.494735 0.869044i \(-0.335265\pi\)
0.167669 + 0.985843i \(0.446376\pi\)
\(828\) −38.8320 + 22.4197i −1.34951 + 0.779138i
\(829\) −10.0921 + 17.4801i −0.350514 + 0.607109i −0.986340 0.164724i \(-0.947327\pi\)
0.635825 + 0.771833i \(0.280660\pi\)
\(830\) 2.25742 6.07326i 0.0783563 0.210806i
\(831\) 16.2354 + 5.90920i 0.563200 + 0.204988i
\(832\) −2.86687 7.87666i −0.0993909 0.273074i
\(833\) −5.11636 6.09744i −0.177271 0.211264i
\(834\) −1.83647 10.4151i −0.0635917 0.360647i
\(835\) 13.0951 4.66553i 0.453176 0.161457i
\(836\) 10.9826 34.0763i 0.379841 1.17855i
\(837\) 20.9332i 0.723557i
\(838\) −0.965002 + 0.170156i −0.0333355 + 0.00587794i
\(839\) −19.7800 + 16.5974i −0.682880 + 0.573005i −0.916846 0.399240i \(-0.869274\pi\)
0.233966 + 0.972245i \(0.424830\pi\)
\(840\) −8.81692 + 7.29658i −0.304213 + 0.251756i
\(841\) −42.9165 15.6203i −1.47988 0.538632i
\(842\) 3.18664 3.79769i 0.109819 0.130877i
\(843\) 6.35469 + 3.66888i 0.218867 + 0.126363i
\(844\) 4.31332 + 7.47089i 0.148471 + 0.257159i
\(845\) 25.1060 4.25085i 0.863673 0.146234i
\(846\) −1.29276 + 7.33159i −0.0444459 + 0.252065i
\(847\) −11.6296 + 6.71438i −0.399599 + 0.230709i
\(848\) 2.17745 + 1.25715i 0.0747738 + 0.0431707i
\(849\) 65.1639 + 54.6790i 2.23642 + 1.87658i
\(850\) −2.83971 + 0.989999i −0.0974012 + 0.0339567i
\(851\) 53.2482 19.3807i 1.82532 0.664363i
\(852\) 2.70453 + 3.22313i 0.0926557 + 0.110423i
\(853\) 14.1058 2.48724i 0.482974 0.0851613i 0.0731404 0.997322i \(-0.476698\pi\)
0.409834 + 0.912160i \(0.365587\pi\)
\(854\) −1.32952 −0.0454953
\(855\) −8.92627 42.9293i −0.305272 1.46815i
\(856\) 16.3365 0.558370
\(857\) −23.8963 + 4.21356i −0.816281 + 0.143932i −0.566174 0.824286i \(-0.691577\pi\)
−0.250107 + 0.968218i \(0.580466\pi\)
\(858\) 2.31325 + 2.75683i 0.0789732 + 0.0941166i
\(859\) 38.0794 13.8598i 1.29925 0.472889i 0.402499 0.915421i \(-0.368142\pi\)
0.896753 + 0.442532i \(0.145920\pi\)
\(860\) −19.3873 0.131980i −0.661103 0.00450048i
\(861\) 10.1687 + 8.53259i 0.346550 + 0.290790i
\(862\) 2.85368 + 1.64757i 0.0971968 + 0.0561166i
\(863\) −19.8458 + 11.4580i −0.675560 + 0.390035i −0.798180 0.602419i \(-0.794204\pi\)
0.122620 + 0.992454i \(0.460870\pi\)
\(864\) −2.00798 + 11.3878i −0.0683129 + 0.387422i
\(865\) −1.03253 6.09825i −0.0351072 0.207347i
\(866\) 4.20227 + 7.27854i 0.142799 + 0.247335i
\(867\) −25.9616 14.9889i −0.881702 0.509051i
\(868\) 12.3431 14.7100i 0.418953 0.499289i
\(869\) −24.1185 8.77843i −0.818165 0.297788i
\(870\) 8.24727 + 9.96571i 0.279609 + 0.337869i
\(871\) 5.07019 4.25440i 0.171797 0.144155i
\(872\) −6.48474 + 1.14344i −0.219601 + 0.0387216i
\(873\) 38.7326i 1.31090i
\(874\) −3.36013 + 4.32190i −0.113658 + 0.146190i
\(875\) −11.2278 + 18.5612i −0.379570 + 0.627483i
\(876\) 1.30619 + 7.40776i 0.0441320 + 0.250285i
\(877\) 31.9434 + 38.0686i 1.07865 + 1.28549i 0.956105 + 0.293024i \(0.0946615\pi\)
0.122546 + 0.992463i \(0.460894\pi\)
\(878\) −1.95812 5.37988i −0.0660832 0.181562i
\(879\) −2.22751 0.810748i −0.0751321 0.0273458i
\(880\) −12.0212 + 32.3413i −0.405236 + 1.09023i
\(881\) 5.51788 9.55725i 0.185902 0.321992i −0.757978 0.652280i \(-0.773813\pi\)
0.943880 + 0.330288i \(0.107146\pi\)
\(882\) 3.08158 1.77915i 0.103762 0.0599071i
\(883\) −21.7883 3.84187i −0.733235 0.129289i −0.205451 0.978667i \(-0.565866\pi\)
−0.527785 + 0.849378i \(0.676977\pi\)
\(884\) 1.05254 5.96927i 0.0354009 0.200768i
\(885\) −24.2204 20.6059i −0.814159 0.692660i
\(886\) −0.293236 + 0.507899i −0.00985145 + 0.0170632i
\(887\) 12.8769 15.3461i 0.432365 0.515272i −0.505238 0.862980i \(-0.668595\pi\)
0.937603 + 0.347708i \(0.113040\pi\)
\(888\) 9.95175 27.3422i 0.333959 0.917544i
\(889\) 34.9704 12.7282i 1.17287 0.426890i
\(890\) 0.617513 1.05294i 0.0206991 0.0352948i
\(891\) −1.65992 9.41387i −0.0556094 0.315376i
\(892\) 17.8481i 0.597597i
\(893\) −6.20309 28.8460i −0.207578 0.965295i
\(894\) 8.34491 0.279095
\(895\) −22.1201 + 12.5711i −0.739394 + 0.420204i
\(896\) −10.7748 + 9.04109i −0.359959 + 0.302042i
\(897\) 6.10956 + 16.7859i 0.203992 + 0.560464i
\(898\) 3.19430 8.77627i 0.106595 0.292868i
\(899\) −33.7653 28.3325i −1.12614 0.944941i
\(900\) 6.99254 + 43.0783i 0.233085 + 1.43594i
\(901\) 0.848530 + 1.46970i 0.0282686 + 0.0489627i
\(902\) −2.54643 0.449004i −0.0847868 0.0149502i
\(903\) −23.3828 4.12301i −0.778129 0.137205i
\(904\) 2.85336 + 4.94217i 0.0949015 + 0.164374i
\(905\) −7.84426 1.43828i −0.260752 0.0478101i
\(906\) 7.09776 + 5.95572i 0.235807 + 0.197866i
\(907\) 0.233041 0.640274i 0.00773799 0.0212600i −0.935763 0.352628i \(-0.885288\pi\)
0.943501 + 0.331368i \(0.107510\pi\)
\(908\) −0.398363 1.09449i −0.0132201 0.0363220i
\(909\) 46.3545 38.8960i 1.53748 1.29010i
\(910\) 0.665485 + 1.17099i 0.0220606 + 0.0388180i
\(911\) 28.7169 0.951433 0.475716 0.879599i \(-0.342189\pi\)
0.475716 + 0.879599i \(0.342189\pi\)
\(912\) −9.14675 42.5348i −0.302879 1.40847i
\(913\) 50.1744i 1.66053i
\(914\) 0.0796442 + 0.451684i 0.00263439 + 0.0149404i
\(915\) −8.68204 + 14.8041i −0.287019 + 0.489408i
\(916\) −12.9722 + 4.72149i −0.428613 + 0.156002i
\(917\) 0.204386 0.561545i 0.00674941 0.0185439i
\(918\) −1.58662 + 1.89086i −0.0523663 + 0.0624077i
\(919\) 3.45629 5.98648i 0.114013 0.197476i −0.803372 0.595477i \(-0.796963\pi\)
0.917385 + 0.398002i \(0.130296\pi\)
\(920\) 7.17026 8.42799i 0.236396 0.277863i
\(921\) 4.27581 24.2494i 0.140893 0.799043i
\(922\) −4.04972 0.714075i −0.133371 0.0235168i
\(923\) 0.870870 0.502797i 0.0286650 0.0165498i
\(924\) −21.8202 + 37.7938i −0.717833 + 1.24332i
\(925\) 0.750871 55.1475i 0.0246885 1.81324i
\(926\) −5.59725 2.03723i −0.183937 0.0669477i
\(927\) −6.20959 17.0607i −0.203950 0.560347i
\(928\) 15.6509 + 18.6520i 0.513765 + 0.612281i
\(929\) −7.09009 40.2099i −0.232618 1.31924i −0.847572 0.530681i \(-0.821936\pi\)
0.614953 0.788563i \(-0.289175\pi\)
\(930\) 2.56271 + 7.19296i 0.0840344 + 0.235866i
\(931\) −8.65596 + 11.1336i −0.283688 + 0.364888i
\(932\) 39.1272i 1.28165i
\(933\) 30.8529 5.44020i 1.01008 0.178104i
\(934\) 2.55658 2.14522i 0.0836538 0.0701938i
\(935\) −17.9414 + 14.8477i −0.586748 + 0.485572i
\(936\) 5.17097 + 1.88208i 0.169019 + 0.0615177i
\(937\) −9.47723 + 11.2945i −0.309608 + 0.368976i −0.898301 0.439380i \(-0.855198\pi\)
0.588694 + 0.808356i \(0.299642\pi\)
\(938\) −2.14121 1.23623i −0.0699129 0.0403642i
\(939\) −10.7689 18.6523i −0.351430 0.608695i
\(940\) 4.90258 + 28.9552i 0.159904 + 0.944413i
\(941\) −9.06681 + 51.4204i −0.295570 + 1.67626i 0.369309 + 0.929307i \(0.379594\pi\)
−0.664878 + 0.746952i \(0.731517\pi\)
\(942\) −10.5502 + 6.09115i −0.343743 + 0.198460i
\(943\) −11.1151 6.41730i −0.361957 0.208976i
\(944\) −14.5009 12.1677i −0.471964 0.396025i
\(945\) −0.121205 + 17.8046i −0.00394280 + 0.579183i
\(946\) 4.34607 1.58184i 0.141303 0.0514300i
\(947\) 36.8577 + 43.9252i 1.19771 + 1.42738i 0.877194 + 0.480137i \(0.159413\pi\)
0.320519 + 0.947242i \(0.396143\pi\)
\(948\) −31.7234 + 5.59369i −1.03033 + 0.181675i
\(949\) 1.79777 0.0583580
\(950\) 2.77259 + 4.55007i 0.0899546 + 0.147624i
\(951\) −45.2555 −1.46751
\(952\) −4.52842 + 0.798483i −0.146767 + 0.0258790i
\(953\) −5.98927 7.13773i −0.194011 0.231214i 0.660265 0.751033i \(-0.270444\pi\)
−0.854277 + 0.519819i \(0.825999\pi\)
\(954\) −0.712905 + 0.259476i −0.0230811 + 0.00840085i
\(955\) −0.132022 + 19.3935i −0.00427212 + 0.627558i
\(956\) 17.2920 + 14.5097i 0.559262 + 0.469277i
\(957\) 86.7521 + 50.0863i 2.80430 + 1.61906i
\(958\) −4.60298 + 2.65753i −0.148716 + 0.0858610i
\(959\) −4.88519 + 27.7053i −0.157751 + 0.894650i
\(960\) 6.74762 + 39.8522i 0.217779 + 1.28622i
\(961\) 2.49072 + 4.31405i 0.0803458 + 0.139163i
\(962\) −2.96557 1.71217i −0.0956139 0.0552027i
\(963\) 49.0399 58.4434i 1.58029 1.88331i
\(964\) −46.5470 16.9417i −1.49918 0.545656i
\(965\) 0.727157 0.601770i 0.0234080 0.0193717i
\(966\) 5.11175 4.28927i 0.164468 0.138005i
\(967\) 8.69287 1.53279i 0.279544 0.0492911i −0.0321185 0.999484i \(-0.510225\pi\)
0.311662 + 0.950193i \(0.399114\pi\)
\(968\) 6.66705i 0.214287i
\(969\) 9.00813 27.9500i 0.289383 0.897883i
\(970\) −1.57964 4.43371i −0.0507193 0.142358i
\(971\) 9.72287 + 55.1412i 0.312022 + 1.76956i 0.588454 + 0.808531i \(0.299737\pi\)
−0.276432 + 0.961033i \(0.589152\pi\)
\(972\) −23.0662 27.4892i −0.739848 0.881716i
\(973\) −10.4833 28.8026i −0.336079 0.923369i
\(974\) 6.71866 + 2.44539i 0.215280 + 0.0783554i
\(975\) 17.3846 + 0.236704i 0.556753 + 0.00758058i
\(976\) −5.10807 + 8.84743i −0.163505 + 0.283199i
\(977\) −35.5965 + 20.5517i −1.13883 + 0.657506i −0.946142 0.323753i \(-0.895055\pi\)
−0.192693 + 0.981259i \(0.561722\pi\)
\(978\) 10.1095 + 1.78258i 0.323266 + 0.0570006i
\(979\) 1.64144 9.30905i 0.0524605 0.297518i
\(980\) 9.09548 10.6909i 0.290545 0.341509i
\(981\) −15.3757 + 26.6314i −0.490907 + 0.850277i
\(982\) −2.88452 + 3.43764i −0.0920488 + 0.109700i
\(983\) −0.854584 + 2.34795i −0.0272570 + 0.0748880i −0.952575 0.304305i \(-0.901576\pi\)
0.925318 + 0.379193i \(0.123798\pi\)
\(984\) −6.19294 + 2.25405i −0.197424 + 0.0718564i
\(985\) −17.2410 + 29.3983i −0.549345 + 0.936709i
\(986\) 0.902520 + 5.11845i 0.0287421 + 0.163005i
\(987\) 35.9650i 1.14478i
\(988\) −10.7318 + 0.400297i −0.341423 + 0.0127351i
\(989\) 22.9569 0.729986
\(990\) −5.14396 9.05133i −0.163486 0.287670i
\(991\) 13.3471 11.1995i 0.423983 0.355764i −0.405693 0.914010i \(-0.632970\pi\)
0.829676 + 0.558245i \(0.188525\pi\)
\(992\) 4.91574 + 13.5059i 0.156075 + 0.428812i
\(993\) 7.41250 20.3657i 0.235228 0.646285i
\(994\) −0.287762 0.241461i −0.00912727 0.00765869i
\(995\) 28.4304 + 5.21285i 0.901306 + 0.165259i
\(996\) −31.4858 54.5351i −0.997667 1.72801i
\(997\) 12.6065 + 2.22287i 0.399253 + 0.0703990i 0.369670 0.929163i \(-0.379471\pi\)
0.0295832 + 0.999562i \(0.490582\pi\)
\(998\) 2.50776 + 0.442186i 0.0793819 + 0.0139972i
\(999\) −22.6339 39.2031i −0.716106 1.24033i
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 95.2.p.a.9.5 yes 48
3.2 odd 2 855.2.da.b.199.4 48
5.2 odd 4 475.2.l.f.351.5 48
5.3 odd 4 475.2.l.f.351.4 48
5.4 even 2 inner 95.2.p.a.9.4 48
15.14 odd 2 855.2.da.b.199.5 48
19.6 even 9 1805.2.b.k.1084.12 24
19.13 odd 18 1805.2.b.l.1084.13 24
19.17 even 9 inner 95.2.p.a.74.4 yes 48
57.17 odd 18 855.2.da.b.739.5 48
95.13 even 36 9025.2.a.ct.1.13 24
95.17 odd 36 475.2.l.f.226.5 48
95.32 even 36 9025.2.a.ct.1.12 24
95.44 even 18 1805.2.b.k.1084.13 24
95.63 odd 36 9025.2.a.cu.1.12 24
95.74 even 18 inner 95.2.p.a.74.5 yes 48
95.82 odd 36 9025.2.a.cu.1.13 24
95.89 odd 18 1805.2.b.l.1084.12 24
95.93 odd 36 475.2.l.f.226.4 48
285.74 odd 18 855.2.da.b.739.4 48
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
95.2.p.a.9.4 48 5.4 even 2 inner
95.2.p.a.9.5 yes 48 1.1 even 1 trivial
95.2.p.a.74.4 yes 48 19.17 even 9 inner
95.2.p.a.74.5 yes 48 95.74 even 18 inner
475.2.l.f.226.4 48 95.93 odd 36
475.2.l.f.226.5 48 95.17 odd 36
475.2.l.f.351.4 48 5.3 odd 4
475.2.l.f.351.5 48 5.2 odd 4
855.2.da.b.199.4 48 3.2 odd 2
855.2.da.b.199.5 48 15.14 odd 2
855.2.da.b.739.4 48 285.74 odd 18
855.2.da.b.739.5 48 57.17 odd 18
1805.2.b.k.1084.12 24 19.6 even 9
1805.2.b.k.1084.13 24 95.44 even 18
1805.2.b.l.1084.12 24 95.89 odd 18
1805.2.b.l.1084.13 24 19.13 odd 18
9025.2.a.ct.1.12 24 95.32 even 36
9025.2.a.ct.1.13 24 95.13 even 36
9025.2.a.cu.1.12 24 95.63 odd 36
9025.2.a.cu.1.13 24 95.82 odd 36