Properties

Label 441.2.z.a.142.37
Level $441$
Weight $2$
Character 441.142
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [441,2,Mod(4,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 142.37
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.37

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.450158 - 1.14698i) q^{2} +(1.11280 + 1.32728i) q^{3} +(0.353173 + 0.327697i) q^{4} +(2.77253 - 1.33518i) q^{5} +(2.02330 - 0.678884i) q^{6} +(-2.54147 + 0.735474i) q^{7} +(2.75512 - 1.32680i) q^{8} +(-0.523334 + 2.95400i) q^{9} +O(q^{10})\) \(q+(0.450158 - 1.14698i) q^{2} +(1.11280 + 1.32728i) q^{3} +(0.353173 + 0.327697i) q^{4} +(2.77253 - 1.33518i) q^{5} +(2.02330 - 0.678884i) q^{6} +(-2.54147 + 0.735474i) q^{7} +(2.75512 - 1.32680i) q^{8} +(-0.523334 + 2.95400i) q^{9} +(-0.283354 - 3.78109i) q^{10} +(-1.98343 - 2.48714i) q^{11} +(-0.0419322 + 0.833422i) q^{12} +(1.46573 - 3.73461i) q^{13} +(-0.300487 + 3.24611i) q^{14} +(4.85744 + 2.19412i) q^{15} +(-0.209567 - 2.79647i) q^{16} +(2.24234 - 2.08059i) q^{17} +(3.15261 + 1.93002i) q^{18} +(-3.97554 + 6.88584i) q^{19} +(1.41672 + 0.437000i) q^{20} +(-3.80434 - 2.55480i) q^{21} +(-3.74557 + 1.15535i) q^{22} +(-1.53316 + 6.71722i) q^{23} +(4.82694 + 2.18035i) q^{24} +(2.78677 - 3.49450i) q^{25} +(-3.62373 - 3.36233i) q^{26} +(-4.50315 + 2.59261i) q^{27} +(-1.13859 - 0.573083i) q^{28} +(2.40067 + 0.740509i) q^{29} +(4.70324 - 4.58370i) q^{30} +(-0.485385 + 0.840711i) q^{31} +(2.54235 + 0.784210i) q^{32} +(1.09396 - 5.40026i) q^{33} +(-1.37700 - 3.50853i) q^{34} +(-6.06432 + 5.43245i) q^{35} +(-1.15284 + 0.871779i) q^{36} +(-8.97603 - 2.76874i) q^{37} +(6.10833 + 7.65960i) q^{38} +(6.58793 - 2.21046i) q^{39} +(5.86714 - 7.35716i) q^{40} +(-5.30367 - 3.61598i) q^{41} +(-4.64287 + 3.21345i) q^{42} +(8.41211 - 5.73528i) q^{43} +(0.114534 - 1.52836i) q^{44} +(2.49316 + 8.88880i) q^{45} +(7.01438 + 4.78232i) q^{46} +(0.883378 - 2.25081i) q^{47} +(3.47849 - 3.39008i) q^{48} +(5.91816 - 3.73837i) q^{49} +(-2.75365 - 4.76946i) q^{50} +(5.25681 + 0.660923i) q^{51} +(1.74148 - 0.838651i) q^{52} +(-6.37238 + 1.96562i) q^{53} +(0.946559 + 6.33213i) q^{54} +(-8.81990 - 4.24744i) q^{55} +(-6.02624 + 5.39833i) q^{56} +(-13.5634 + 2.38594i) q^{57} +(1.93003 - 2.42019i) q^{58} +(-7.45201 + 5.08070i) q^{59} +(0.996510 + 2.36667i) q^{60} +(-6.83586 + 6.34275i) q^{61} +(0.745782 + 0.935182i) q^{62} +(-0.842553 - 7.89241i) q^{63} +(5.54086 - 6.94801i) q^{64} +(-0.922606 - 12.3113i) q^{65} +(-5.70156 - 3.68573i) q^{66} +(5.24247 - 9.08022i) q^{67} +1.47374 q^{68} +(-10.6217 + 5.44002i) q^{69} +(3.50103 + 9.40114i) q^{70} +(-0.0840867 + 0.368408i) q^{71} +(2.47751 + 8.83299i) q^{72} +(4.94972 + 0.746050i) q^{73} +(-7.21633 + 9.04899i) q^{74} +(7.73930 - 0.189874i) q^{75} +(-3.66053 + 1.12912i) q^{76} +(6.87006 + 4.86224i) q^{77} +(0.430245 - 8.55131i) q^{78} +(-7.56694 - 13.1063i) q^{79} +(-4.31482 - 7.47349i) q^{80} +(-8.45224 - 3.09186i) q^{81} +(-6.53497 + 4.45547i) q^{82} +(1.82611 + 4.65285i) q^{83} +(-0.506391 - 2.14896i) q^{84} +(3.43900 - 8.76244i) q^{85} +(-2.79149 - 12.2303i) q^{86} +(1.68862 + 4.01040i) q^{87} +(-8.76451 - 4.22077i) q^{88} +(0.732081 + 1.86531i) q^{89} +(11.3176 + 1.14175i) q^{90} +(-0.978393 + 10.5694i) q^{91} +(-2.74269 + 1.86993i) q^{92} +(-1.65600 + 0.291306i) q^{93} +(-2.18398 - 2.02644i) q^{94} +(-1.82847 + 24.3993i) q^{95} +(1.78827 + 4.24707i) q^{96} +(-5.05223 + 8.75071i) q^{97} +(-1.62375 - 8.47089i) q^{98} +(8.38501 - 4.55745i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.450158 1.14698i 0.318310 0.811040i −0.678747 0.734372i \(-0.737477\pi\)
0.997057 0.0766679i \(-0.0244281\pi\)
\(3\) 1.11280 + 1.32728i 0.642478 + 0.766304i
\(4\) 0.353173 + 0.327697i 0.176587 + 0.163848i
\(5\) 2.77253 1.33518i 1.23991 0.597111i 0.305124 0.952313i \(-0.401302\pi\)
0.934790 + 0.355202i \(0.115588\pi\)
\(6\) 2.02330 0.678884i 0.826011 0.277153i
\(7\) −2.54147 + 0.735474i −0.960586 + 0.277983i
\(8\) 2.75512 1.32680i 0.974082 0.469093i
\(9\) −0.523334 + 2.95400i −0.174445 + 0.984667i
\(10\) −0.283354 3.78109i −0.0896043 1.19569i
\(11\) −1.98343 2.48714i −0.598026 0.749901i 0.387043 0.922062i \(-0.373497\pi\)
−0.985069 + 0.172161i \(0.944925\pi\)
\(12\) −0.0419322 + 0.833422i −0.0121048 + 0.240588i
\(13\) 1.46573 3.73461i 0.406519 1.03579i −0.570244 0.821475i \(-0.693151\pi\)
0.976764 0.214319i \(-0.0687533\pi\)
\(14\) −0.300487 + 3.24611i −0.0803085 + 0.867559i
\(15\) 4.85744 + 2.19412i 1.25419 + 0.566521i
\(16\) −0.209567 2.79647i −0.0523917 0.699118i
\(17\) 2.24234 2.08059i 0.543848 0.504617i −0.359721 0.933060i \(-0.617128\pi\)
0.903569 + 0.428443i \(0.140938\pi\)
\(18\) 3.15261 + 1.93002i 0.743077 + 0.454911i
\(19\) −3.97554 + 6.88584i −0.912052 + 1.57972i −0.100891 + 0.994897i \(0.532169\pi\)
−0.811161 + 0.584823i \(0.801164\pi\)
\(20\) 1.41672 + 0.437000i 0.316788 + 0.0977161i
\(21\) −3.80434 2.55480i −0.830175 0.557503i
\(22\) −3.74557 + 1.15535i −0.798558 + 0.246322i
\(23\) −1.53316 + 6.71722i −0.319686 + 1.40064i 0.518418 + 0.855127i \(0.326521\pi\)
−0.838104 + 0.545510i \(0.816336\pi\)
\(24\) 4.82694 + 2.18035i 0.985294 + 0.445061i
\(25\) 2.78677 3.49450i 0.557354 0.698900i
\(26\) −3.62373 3.36233i −0.710672 0.659407i
\(27\) −4.50315 + 2.59261i −0.866631 + 0.498949i
\(28\) −1.13859 0.573083i −0.215174 0.108302i
\(29\) 2.40067 + 0.740509i 0.445793 + 0.137509i 0.509521 0.860458i \(-0.329823\pi\)
−0.0637275 + 0.997967i \(0.520299\pi\)
\(30\) 4.70324 4.58370i 0.858691 0.836866i
\(31\) −0.485385 + 0.840711i −0.0871777 + 0.150996i −0.906317 0.422598i \(-0.861118\pi\)
0.819139 + 0.573594i \(0.194451\pi\)
\(32\) 2.54235 + 0.784210i 0.449428 + 0.138630i
\(33\) 1.09396 5.40026i 0.190434 0.940065i
\(34\) −1.37700 3.50853i −0.236153 0.601708i
\(35\) −6.06432 + 5.43245i −1.02506 + 0.918251i
\(36\) −1.15284 + 0.871779i −0.192141 + 0.145297i
\(37\) −8.97603 2.76874i −1.47565 0.455178i −0.550518 0.834823i \(-0.685570\pi\)
−0.925132 + 0.379646i \(0.876046\pi\)
\(38\) 6.10833 + 7.65960i 0.990902 + 1.24255i
\(39\) 6.58793 2.21046i 1.05491 0.353957i
\(40\) 5.86714 7.35716i 0.927677 1.16327i
\(41\) −5.30367 3.61598i −0.828295 0.564722i 0.0732968 0.997310i \(-0.476648\pi\)
−0.901592 + 0.432588i \(0.857600\pi\)
\(42\) −4.64287 + 3.21345i −0.716410 + 0.495846i
\(43\) 8.41211 5.73528i 1.28283 0.874622i 0.286328 0.958132i \(-0.407565\pi\)
0.996507 + 0.0835099i \(0.0266130\pi\)
\(44\) 0.114534 1.52836i 0.0172667 0.230408i
\(45\) 2.49316 + 8.88880i 0.371659 + 1.32506i
\(46\) 7.01438 + 4.78232i 1.03421 + 0.705115i
\(47\) 0.883378 2.25081i 0.128854 0.328314i −0.851858 0.523773i \(-0.824524\pi\)
0.980712 + 0.195458i \(0.0626194\pi\)
\(48\) 3.47849 3.39008i 0.502077 0.489316i
\(49\) 5.91816 3.73837i 0.845451 0.534053i
\(50\) −2.75365 4.76946i −0.389425 0.674503i
\(51\) 5.25681 + 0.660923i 0.736101 + 0.0925478i
\(52\) 1.74148 0.838651i 0.241499 0.116300i
\(53\) −6.37238 + 1.96562i −0.875314 + 0.269999i −0.699679 0.714457i \(-0.746674\pi\)
−0.175634 + 0.984455i \(0.556198\pi\)
\(54\) 0.946559 + 6.33213i 0.128810 + 0.861693i
\(55\) −8.81990 4.24744i −1.18927 0.572725i
\(56\) −6.02624 + 5.39833i −0.805290 + 0.721383i
\(57\) −13.5634 + 2.38594i −1.79652 + 0.316026i
\(58\) 1.93003 2.42019i 0.253426 0.317786i
\(59\) −7.45201 + 5.08070i −0.970169 + 0.661450i −0.941100 0.338127i \(-0.890207\pi\)
−0.0290689 + 0.999577i \(0.509254\pi\)
\(60\) 0.996510 + 2.36667i 0.128649 + 0.305536i
\(61\) −6.83586 + 6.34275i −0.875243 + 0.812106i −0.983291 0.182039i \(-0.941730\pi\)
0.108049 + 0.994146i \(0.465540\pi\)
\(62\) 0.745782 + 0.935182i 0.0947145 + 0.118768i
\(63\) −0.842553 7.89241i −0.106152 0.994350i
\(64\) 5.54086 6.94801i 0.692607 0.868502i
\(65\) −0.922606 12.3113i −0.114435 1.52703i
\(66\) −5.70156 3.68573i −0.701814 0.453682i
\(67\) 5.24247 9.08022i 0.640469 1.10933i −0.344859 0.938655i \(-0.612073\pi\)
0.985328 0.170671i \(-0.0545934\pi\)
\(68\) 1.47374 0.178717
\(69\) −10.6217 + 5.44002i −1.27871 + 0.654901i
\(70\) 3.50103 + 9.40114i 0.418453 + 1.12365i
\(71\) −0.0840867 + 0.368408i −0.00997925 + 0.0437220i −0.979672 0.200604i \(-0.935710\pi\)
0.969693 + 0.244326i \(0.0785667\pi\)
\(72\) 2.47751 + 8.83299i 0.291977 + 1.04098i
\(73\) 4.94972 + 0.746050i 0.579321 + 0.0873185i 0.432165 0.901795i \(-0.357750\pi\)
0.147156 + 0.989113i \(0.452988\pi\)
\(74\) −7.21633 + 9.04899i −0.838881 + 1.05192i
\(75\) 7.73930 0.189874i 0.893657 0.0219248i
\(76\) −3.66053 + 1.12912i −0.419891 + 0.129519i
\(77\) 6.87006 + 4.86224i 0.782916 + 0.554103i
\(78\) 0.430245 8.55131i 0.0487157 0.968245i
\(79\) −7.56694 13.1063i −0.851347 1.47458i −0.879993 0.474987i \(-0.842453\pi\)
0.0286458 0.999590i \(-0.490880\pi\)
\(80\) −4.31482 7.47349i −0.482412 0.835562i
\(81\) −8.45224 3.09186i −0.939138 0.343540i
\(82\) −6.53497 + 4.45547i −0.721666 + 0.492024i
\(83\) 1.82611 + 4.65285i 0.200442 + 0.510717i 0.995384 0.0959674i \(-0.0305945\pi\)
−0.794943 + 0.606684i \(0.792499\pi\)
\(84\) −0.506391 2.14896i −0.0552517 0.234471i
\(85\) 3.43900 8.76244i 0.373012 0.950420i
\(86\) −2.79149 12.2303i −0.301015 1.31883i
\(87\) 1.68862 + 4.01040i 0.181039 + 0.429960i
\(88\) −8.76451 4.22077i −0.934300 0.449935i
\(89\) 0.732081 + 1.86531i 0.0776005 + 0.197723i 0.964409 0.264413i \(-0.0851783\pi\)
−0.886809 + 0.462136i \(0.847083\pi\)
\(90\) 11.3176 + 1.14175i 1.19298 + 0.120351i
\(91\) −0.978393 + 10.5694i −0.102563 + 1.10798i
\(92\) −2.74269 + 1.86993i −0.285945 + 0.194954i
\(93\) −1.65600 + 0.291306i −0.171719 + 0.0302070i
\(94\) −2.18398 2.02644i −0.225261 0.209011i
\(95\) −1.82847 + 24.3993i −0.187597 + 2.50331i
\(96\) 1.78827 + 4.24707i 0.182514 + 0.433465i
\(97\) −5.05223 + 8.75071i −0.512976 + 0.888500i 0.486911 + 0.873452i \(0.338124\pi\)
−0.999887 + 0.0150486i \(0.995210\pi\)
\(98\) −1.62375 8.47089i −0.164023 0.855689i
\(99\) 8.38501 4.55745i 0.842726 0.458041i
\(100\) 2.12935 0.320948i 0.212935 0.0320948i
\(101\) 11.7072 5.63789i 1.16491 0.560991i 0.251430 0.967876i \(-0.419099\pi\)
0.913479 + 0.406885i \(0.133385\pi\)
\(102\) 3.12447 5.73196i 0.309368 0.567549i
\(103\) −14.2693 + 6.87173i −1.40600 + 0.677092i −0.974368 0.224960i \(-0.927775\pi\)
−0.431628 + 0.902052i \(0.642061\pi\)
\(104\) −0.916813 12.2340i −0.0899009 1.19964i
\(105\) −13.9588 2.00378i −1.36224 0.195549i
\(106\) −0.614045 + 8.19386i −0.0596413 + 0.795858i
\(107\) −1.68559 4.29480i −0.162952 0.415194i 0.825954 0.563737i \(-0.190637\pi\)
−0.988906 + 0.148543i \(0.952542\pi\)
\(108\) −2.43998 0.560026i −0.234788 0.0538885i
\(109\) −0.803293 + 2.04676i −0.0769415 + 0.196044i −0.964169 0.265288i \(-0.914533\pi\)
0.887228 + 0.461332i \(0.152628\pi\)
\(110\) −8.84210 + 8.20427i −0.843061 + 0.782246i
\(111\) −6.31367 14.9947i −0.599267 1.42324i
\(112\) 2.58934 + 6.95302i 0.244670 + 0.656999i
\(113\) 9.93024 + 1.49674i 0.934158 + 0.140802i 0.598446 0.801163i \(-0.295785\pi\)
0.335712 + 0.941965i \(0.391023\pi\)
\(114\) −3.36905 + 16.6311i −0.315540 + 1.55764i
\(115\) 4.71796 + 20.6707i 0.439952 + 1.92756i
\(116\) 0.605191 + 1.04822i 0.0561905 + 0.0973249i
\(117\) 10.2650 + 6.28421i 0.948997 + 0.580975i
\(118\) 2.47289 + 10.8345i 0.227648 + 0.997393i
\(119\) −4.16863 + 6.93695i −0.382138 + 0.635909i
\(120\) 16.2940 0.399753i 1.48743 0.0364923i
\(121\) 0.195849 0.858071i 0.0178045 0.0780065i
\(122\) 4.19782 + 10.6959i 0.380053 + 0.968358i
\(123\) −1.10253 11.0633i −0.0994122 0.997547i
\(124\) −0.446923 + 0.137858i −0.0401349 + 0.0123800i
\(125\) −0.363174 + 1.59117i −0.0324833 + 0.142319i
\(126\) −9.43175 2.58644i −0.840247 0.230418i
\(127\) 1.95739 + 8.57589i 0.173690 + 0.760987i 0.984458 + 0.175619i \(0.0561928\pi\)
−0.810768 + 0.585368i \(0.800950\pi\)
\(128\) −2.81445 4.87478i −0.248765 0.430873i
\(129\) 16.9733 + 4.78297i 1.49442 + 0.421117i
\(130\) −14.5362 4.48383i −1.27491 0.393258i
\(131\) 15.9230 + 7.66809i 1.39120 + 0.669964i 0.971355 0.237634i \(-0.0763718\pi\)
0.419840 + 0.907598i \(0.362086\pi\)
\(132\) 2.15601 1.54874i 0.187656 0.134801i
\(133\) 5.03937 20.4241i 0.436969 1.77099i
\(134\) −8.05493 10.1006i −0.695840 0.872555i
\(135\) −9.02351 + 13.2006i −0.776620 + 1.13613i
\(136\) 3.41741 8.70741i 0.293040 0.746654i
\(137\) −0.758003 0.365035i −0.0647605 0.0311870i 0.401223 0.915980i \(-0.368585\pi\)
−0.465984 + 0.884793i \(0.654299\pi\)
\(138\) 1.45816 + 14.6318i 0.124127 + 1.24554i
\(139\) 2.93390 + 2.00030i 0.248850 + 0.169663i 0.681321 0.731985i \(-0.261406\pi\)
−0.432471 + 0.901648i \(0.642358\pi\)
\(140\) −3.92195 0.0686627i −0.331465 0.00580305i
\(141\) 3.97048 1.33222i 0.334374 0.112193i
\(142\) 0.384706 + 0.262288i 0.0322838 + 0.0220107i
\(143\) −12.1957 + 3.76186i −1.01985 + 0.314583i
\(144\) 8.37045 + 0.844429i 0.697538 + 0.0703691i
\(145\) 7.64465 1.15225i 0.634853 0.0956888i
\(146\) 3.08386 5.34141i 0.255222 0.442058i
\(147\) 11.5476 + 3.69496i 0.952431 + 0.304755i
\(148\) −2.26279 3.91926i −0.186000 0.322161i
\(149\) −2.97194 3.72669i −0.243470 0.305302i 0.645049 0.764141i \(-0.276837\pi\)
−0.888519 + 0.458839i \(0.848266\pi\)
\(150\) 3.26613 8.96233i 0.266678 0.731771i
\(151\) 1.22095 5.34933i 0.0993594 0.435322i −0.900640 0.434565i \(-0.856902\pi\)
1.00000 0.000756661i \(-0.000240853\pi\)
\(152\) −1.81699 + 24.2461i −0.147377 + 1.96661i
\(153\) 4.97257 + 7.71273i 0.402009 + 0.623537i
\(154\) 8.66952 5.69107i 0.698610 0.458600i
\(155\) −0.223243 + 2.97897i −0.0179313 + 0.239277i
\(156\) 3.05104 + 1.37817i 0.244279 + 0.110342i
\(157\) 10.3868 7.08159i 0.828956 0.565173i −0.0728355 0.997344i \(-0.523205\pi\)
0.901792 + 0.432171i \(0.142252\pi\)
\(158\) −18.4391 + 2.77924i −1.46693 + 0.221105i
\(159\) −9.70014 6.27057i −0.769271 0.497289i
\(160\) 8.09579 1.22024i 0.640029 0.0964688i
\(161\) −1.04386 18.1992i −0.0822673 1.43430i
\(162\) −7.35116 + 8.30276i −0.577562 + 0.652327i
\(163\) −3.25223 + 2.21733i −0.254734 + 0.173675i −0.683954 0.729525i \(-0.739741\pi\)
0.429220 + 0.903200i \(0.358789\pi\)
\(164\) −0.688169 3.01507i −0.0537370 0.235437i
\(165\) −4.17729 16.4330i −0.325201 1.27931i
\(166\) 6.15879 0.478014
\(167\) 2.34174 2.17282i 0.181209 0.168138i −0.584353 0.811500i \(-0.698652\pi\)
0.765562 + 0.643362i \(0.222461\pi\)
\(168\) −13.8711 1.99120i −1.07018 0.153625i
\(169\) −2.26928 2.10559i −0.174560 0.161968i
\(170\) −8.50228 7.88896i −0.652095 0.605056i
\(171\) −18.2602 15.3474i −1.39640 1.17364i
\(172\) 4.85037 + 0.731075i 0.369837 + 0.0557440i
\(173\) −4.98984 + 1.53916i −0.379370 + 0.117020i −0.478575 0.878047i \(-0.658846\pi\)
0.0992043 + 0.995067i \(0.468370\pi\)
\(174\) 5.36001 0.131501i 0.406341 0.00996909i
\(175\) −4.51238 + 10.9308i −0.341104 + 0.826288i
\(176\) −6.53956 + 6.06783i −0.492938 + 0.457380i
\(177\) −15.0361 4.23707i −1.13018 0.318478i
\(178\) 2.46904 0.185062
\(179\) 18.9726 17.6040i 1.41808 1.31579i 0.536384 0.843974i \(-0.319790\pi\)
0.881698 0.471814i \(-0.156400\pi\)
\(180\) −2.03231 + 3.95629i −0.151480 + 0.294884i
\(181\) −2.00622 + 2.51572i −0.149121 + 0.186992i −0.850782 0.525519i \(-0.823871\pi\)
0.701660 + 0.712512i \(0.252442\pi\)
\(182\) 11.6825 + 5.88011i 0.865965 + 0.435862i
\(183\) −16.0256 2.01485i −1.18464 0.148942i
\(184\) 4.68834 + 20.5409i 0.345629 + 1.51430i
\(185\) −28.5831 + 4.30820i −2.10147 + 0.316745i
\(186\) −0.411336 + 2.03053i −0.0301606 + 0.148886i
\(187\) −9.62225 1.45032i −0.703649 0.106058i
\(188\) 1.04957 0.505446i 0.0765477 0.0368634i
\(189\) 9.53782 9.90101i 0.693775 0.720192i
\(190\) 27.1625 + 13.0808i 1.97057 + 0.948978i
\(191\) 9.14799 + 6.23699i 0.661925 + 0.451293i 0.847115 0.531410i \(-0.178338\pi\)
−0.185190 + 0.982703i \(0.559290\pi\)
\(192\) 15.3878 0.377522i 1.11052 0.0272453i
\(193\) 0.193190 2.57794i 0.0139061 0.185564i −0.985925 0.167188i \(-0.946531\pi\)
0.999831 0.0183761i \(-0.00584962\pi\)
\(194\) 7.76263 + 9.73403i 0.557324 + 0.698862i
\(195\) 15.3139 14.9247i 1.09665 1.06878i
\(196\) 3.31519 + 0.619068i 0.236799 + 0.0442191i
\(197\) 8.30839 0.591949 0.295974 0.955196i \(-0.404356\pi\)
0.295974 + 0.955196i \(0.404356\pi\)
\(198\) −1.45274 11.6690i −0.103241 0.829283i
\(199\) −9.70161 6.61445i −0.687729 0.468886i 0.168352 0.985727i \(-0.446155\pi\)
−0.856081 + 0.516841i \(0.827108\pi\)
\(200\) 3.04140 13.3252i 0.215059 0.942237i
\(201\) 17.8858 3.14629i 1.26157 0.221922i
\(202\) −1.19648 15.9659i −0.0841840 1.12336i
\(203\) −6.64586 0.116351i −0.466448 0.00816623i
\(204\) 1.63998 + 1.95606i 0.114822 + 0.136952i
\(205\) −19.5326 2.94406i −1.36422 0.205622i
\(206\) 1.45833 + 19.4600i 0.101606 + 1.35584i
\(207\) −19.0403 8.04431i −1.32339 0.559118i
\(208\) −10.7509 3.31621i −0.745441 0.229938i
\(209\) 25.0113 3.76984i 1.73007 0.260765i
\(210\) −8.58196 + 15.1085i −0.592212 + 1.04258i
\(211\) −15.2200 2.29404i −1.04779 0.157928i −0.397488 0.917607i \(-0.630118\pi\)
−0.650298 + 0.759679i \(0.725356\pi\)
\(212\) −2.89468 1.39401i −0.198808 0.0957407i
\(213\) −0.582552 + 0.298359i −0.0399158 + 0.0204432i
\(214\) −5.68485 −0.388609
\(215\) 15.6652 27.1329i 1.06836 1.85045i
\(216\) −8.96685 + 13.1177i −0.610117 + 0.892548i
\(217\) 0.615270 2.49363i 0.0417673 0.169279i
\(218\) 1.98599 + 1.84273i 0.134508 + 0.124805i
\(219\) 4.51785 + 7.39986i 0.305288 + 0.500036i
\(220\) −1.72308 4.39034i −0.116170 0.295996i
\(221\) −4.48353 11.4239i −0.301595 0.768452i
\(222\) −20.0409 + 0.491679i −1.34506 + 0.0329993i
\(223\) 1.73900 + 1.61356i 0.116452 + 0.108052i 0.736250 0.676710i \(-0.236595\pi\)
−0.619798 + 0.784762i \(0.712785\pi\)
\(224\) −7.03807 0.123217i −0.470251 0.00823280i
\(225\) 8.86434 + 10.0609i 0.590956 + 0.670727i
\(226\) 6.18692 10.7161i 0.411548 0.712822i
\(227\) −1.30754 −0.0867843 −0.0433922 0.999058i \(-0.513816\pi\)
−0.0433922 + 0.999058i \(0.513816\pi\)
\(228\) −5.57211 3.60204i −0.369022 0.238551i
\(229\) 0.927940 + 0.446872i 0.0613200 + 0.0295302i 0.464292 0.885682i \(-0.346309\pi\)
−0.402972 + 0.915212i \(0.632023\pi\)
\(230\) 25.8329 + 3.89368i 1.70337 + 0.256741i
\(231\) 1.19149 + 14.5292i 0.0783940 + 0.955951i
\(232\) 7.59664 1.14501i 0.498744 0.0751736i
\(233\) 6.40325 + 1.97514i 0.419491 + 0.129396i 0.497312 0.867572i \(-0.334320\pi\)
−0.0778217 + 0.996967i \(0.524796\pi\)
\(234\) 11.8287 8.94488i 0.773269 0.584745i
\(235\) −0.556045 7.41991i −0.0362724 0.484021i
\(236\) −4.29678 0.647636i −0.279697 0.0421575i
\(237\) 8.97521 24.6282i 0.583003 1.59977i
\(238\) 6.08003 + 7.90408i 0.394110 + 0.512345i
\(239\) −1.54061 20.5581i −0.0996540 1.32979i −0.793016 0.609201i \(-0.791490\pi\)
0.693362 0.720589i \(-0.256129\pi\)
\(240\) 5.11785 14.0435i 0.330356 0.906504i
\(241\) −3.38162 + 14.8159i −0.217829 + 0.954373i 0.741249 + 0.671231i \(0.234234\pi\)
−0.959078 + 0.283142i \(0.908623\pi\)
\(242\) −0.896031 0.610904i −0.0575991 0.0392704i
\(243\) −5.30194 14.6591i −0.340119 0.940382i
\(244\) −4.49275 −0.287619
\(245\) 11.4169 18.2666i 0.729397 1.16701i
\(246\) −13.1858 3.71566i −0.840695 0.236902i
\(247\) 19.8889 + 24.9399i 1.26550 + 1.58689i
\(248\) −0.221841 + 2.96027i −0.0140869 + 0.187977i
\(249\) −4.14353 + 7.60147i −0.262585 + 0.481723i
\(250\) 1.66156 + 1.13283i 0.105086 + 0.0716467i
\(251\) −5.05936 2.43646i −0.319344 0.153788i 0.267344 0.963601i \(-0.413854\pi\)
−0.586688 + 0.809813i \(0.699568\pi\)
\(252\) 2.28875 3.06349i 0.144178 0.192982i
\(253\) 19.7476 9.50994i 1.24152 0.597885i
\(254\) 10.7175 + 1.61541i 0.672479 + 0.101360i
\(255\) 15.4571 5.18636i 0.967963 0.324783i
\(256\) 10.7169 1.61532i 0.669808 0.100957i
\(257\) 4.20759 + 18.4347i 0.262462 + 1.14992i 0.918571 + 0.395256i \(0.129344\pi\)
−0.656109 + 0.754667i \(0.727799\pi\)
\(258\) 13.1267 17.3151i 0.817231 1.07799i
\(259\) 24.8487 + 0.435032i 1.54402 + 0.0270316i
\(260\) 3.70855 4.65037i 0.229994 0.288404i
\(261\) −3.44382 + 6.70405i −0.213167 + 0.414970i
\(262\) 15.9630 14.8115i 0.986199 0.915059i
\(263\) 12.8532 0.792565 0.396282 0.918129i \(-0.370300\pi\)
0.396282 + 0.918129i \(0.370300\pi\)
\(264\) −4.15106 16.3298i −0.255480 1.00503i
\(265\) −15.0432 + 13.9580i −0.924094 + 0.857434i
\(266\) −21.1576 14.9741i −1.29725 0.918124i
\(267\) −1.66113 + 3.04740i −0.101659 + 0.186498i
\(268\) 4.82706 1.48895i 0.294860 0.0909521i
\(269\) 11.7395 + 1.76944i 0.715768 + 0.107885i 0.496822 0.867852i \(-0.334500\pi\)
0.218946 + 0.975737i \(0.429738\pi\)
\(270\) 11.0789 + 16.2922i 0.674240 + 0.991511i
\(271\) −11.8741 11.0175i −0.721297 0.669266i 0.231513 0.972832i \(-0.425632\pi\)
−0.952811 + 0.303566i \(0.901823\pi\)
\(272\) −6.28824 5.83463i −0.381280 0.353776i
\(273\) −15.1173 + 10.4631i −0.914941 + 0.633255i
\(274\) −0.759910 + 0.705094i −0.0459079 + 0.0425963i
\(275\) −14.2187 −0.857418
\(276\) −5.53399 1.55944i −0.333107 0.0938672i
\(277\) 0.605885 + 2.65455i 0.0364041 + 0.159497i 0.989863 0.142027i \(-0.0453619\pi\)
−0.953459 + 0.301524i \(0.902505\pi\)
\(278\) 3.61503 2.46469i 0.216815 0.147822i
\(279\) −2.22944 1.87380i −0.133473 0.112181i
\(280\) −9.50017 + 23.0132i −0.567744 + 1.37530i
\(281\) 18.0093 2.71446i 1.07434 0.161931i 0.412040 0.911166i \(-0.364817\pi\)
0.662305 + 0.749235i \(0.269578\pi\)
\(282\) 0.259304 5.15378i 0.0154413 0.306903i
\(283\) 6.50711 0.980789i 0.386807 0.0583018i 0.0472401 0.998884i \(-0.484957\pi\)
0.339567 + 0.940582i \(0.389719\pi\)
\(284\) −0.150423 + 0.102557i −0.00892598 + 0.00608563i
\(285\) −34.4194 + 24.7247i −2.03883 + 1.46457i
\(286\) −1.17518 + 15.6817i −0.0694898 + 0.927277i
\(287\) 16.1386 + 5.28920i 0.952631 + 0.312212i
\(288\) −3.64705 + 7.09969i −0.214905 + 0.418353i
\(289\) −0.571165 + 7.62166i −0.0335979 + 0.448333i
\(290\) 2.11969 9.28698i 0.124473 0.545350i
\(291\) −17.2368 + 3.03212i −1.01044 + 0.177746i
\(292\) 1.50363 + 1.88549i 0.0879933 + 0.110340i
\(293\) 9.57313 + 16.5811i 0.559268 + 0.968681i 0.997558 + 0.0698469i \(0.0222511\pi\)
−0.438290 + 0.898834i \(0.644416\pi\)
\(294\) 9.43631 11.5816i 0.550337 0.675453i
\(295\) −13.8773 + 24.0362i −0.807967 + 1.39944i
\(296\) −28.4036 + 4.28115i −1.65092 + 0.248837i
\(297\) 15.3799 + 6.05770i 0.892431 + 0.351503i
\(298\) −5.61229 + 1.73116i −0.325111 + 0.100284i
\(299\) 22.8390 + 15.5714i 1.32081 + 0.900516i
\(300\) 2.79554 + 2.46909i 0.161400 + 0.142553i
\(301\) −17.1610 + 20.7629i −0.989143 + 1.19676i
\(302\) −5.58597 3.80845i −0.321437 0.219152i
\(303\) 20.5109 + 9.26484i 1.17832 + 0.532251i
\(304\) 20.0892 + 9.67445i 1.15219 + 0.554868i
\(305\) −10.4839 + 26.7126i −0.600307 + 1.52956i
\(306\) 11.0848 2.23152i 0.633677 0.127567i
\(307\) 4.31869 + 5.41547i 0.246481 + 0.309077i 0.889646 0.456650i \(-0.150951\pi\)
−0.643166 + 0.765727i \(0.722379\pi\)
\(308\) 0.832980 + 3.96851i 0.0474634 + 0.226127i
\(309\) −24.9996 11.2924i −1.42218 0.642404i
\(310\) 3.31634 + 1.59707i 0.188355 + 0.0907072i
\(311\) 10.6216 + 3.27634i 0.602297 + 0.185784i 0.580884 0.813987i \(-0.302707\pi\)
0.0214135 + 0.999771i \(0.493183\pi\)
\(312\) 15.2177 14.8309i 0.861533 0.839636i
\(313\) −3.32749 5.76338i −0.188081 0.325766i 0.756530 0.653960i \(-0.226893\pi\)
−0.944610 + 0.328194i \(0.893560\pi\)
\(314\) −3.44678 15.1013i −0.194513 0.852217i
\(315\) −12.8738 20.7570i −0.725356 1.16952i
\(316\) 1.62246 7.10847i 0.0912706 0.399882i
\(317\) −3.42710 + 1.05712i −0.192485 + 0.0593738i −0.389499 0.921027i \(-0.627352\pi\)
0.197014 + 0.980401i \(0.436876\pi\)
\(318\) −11.5588 + 8.30315i −0.648188 + 0.465618i
\(319\) −2.91981 7.43956i −0.163478 0.416535i
\(320\) 6.08534 26.6616i 0.340181 1.49043i
\(321\) 3.82467 7.01652i 0.213472 0.391624i
\(322\) −21.3441 6.99525i −1.18946 0.389830i
\(323\) 5.41209 + 23.7119i 0.301137 + 1.31937i
\(324\) −1.97191 3.86174i −0.109551 0.214541i
\(325\) −8.96595 15.5295i −0.497341 0.861420i
\(326\) 1.07923 + 4.72840i 0.0597728 + 0.261882i
\(327\) −3.61052 + 1.21145i −0.199662 + 0.0669932i
\(328\) −19.4099 2.92558i −1.07173 0.161538i
\(329\) −0.589667 + 6.37007i −0.0325094 + 0.351193i
\(330\) −20.7289 2.60618i −1.14109 0.143465i
\(331\) 3.09801 2.87454i 0.170282 0.157999i −0.590428 0.807090i \(-0.701041\pi\)
0.760711 + 0.649091i \(0.224851\pi\)
\(332\) −0.879792 + 2.24167i −0.0482849 + 0.123028i
\(333\) 12.8763 25.0662i 0.705618 1.37362i
\(334\) −1.43803 3.66405i −0.0786857 0.200488i
\(335\) 2.41117 32.1748i 0.131736 1.75790i
\(336\) −6.34717 + 11.1741i −0.346266 + 0.609599i
\(337\) 2.14411 + 28.6111i 0.116797 + 1.55855i 0.680611 + 0.732645i \(0.261715\pi\)
−0.563814 + 0.825902i \(0.690666\pi\)
\(338\) −3.43661 + 1.65498i −0.186927 + 0.0900193i
\(339\) 9.06382 + 14.8458i 0.492279 + 0.806312i
\(340\) 4.08599 1.96771i 0.221594 0.106714i
\(341\) 3.05369 0.460270i 0.165367 0.0249250i
\(342\) −25.8232 + 14.0355i −1.39636 + 0.758952i
\(343\) −12.2913 + 13.8536i −0.663670 + 0.748025i
\(344\) 15.5668 26.9625i 0.839307 1.45372i
\(345\) −22.1857 + 29.2645i −1.19444 + 1.57555i
\(346\) −0.480823 + 6.41613i −0.0258492 + 0.344933i
\(347\) 26.8214 + 24.8867i 1.43985 + 1.33599i 0.848067 + 0.529889i \(0.177766\pi\)
0.591783 + 0.806097i \(0.298424\pi\)
\(348\) −0.717822 + 1.96972i −0.0384793 + 0.105588i
\(349\) 0.368878 0.251497i 0.0197456 0.0134623i −0.553407 0.832911i \(-0.686673\pi\)
0.573153 + 0.819449i \(0.305720\pi\)
\(350\) 10.5061 + 10.0962i 0.561576 + 0.539665i
\(351\) 3.08202 + 20.6176i 0.164506 + 1.10048i
\(352\) −3.09212 7.87860i −0.164811 0.419931i
\(353\) −25.1365 12.1051i −1.33788 0.644289i −0.378289 0.925688i \(-0.623487\pi\)
−0.959591 + 0.281399i \(0.909202\pi\)
\(354\) −11.6285 + 15.3388i −0.618047 + 0.815250i
\(355\) 0.258758 + 1.13369i 0.0137334 + 0.0601702i
\(356\) −0.352706 + 0.898680i −0.0186934 + 0.0476299i
\(357\) −13.8461 + 2.18653i −0.732815 + 0.115724i
\(358\) −11.6509 29.6859i −0.615767 1.56895i
\(359\) 0.977829 0.666673i 0.0516078 0.0351856i −0.537241 0.843429i \(-0.680534\pi\)
0.588849 + 0.808243i \(0.299581\pi\)
\(360\) 18.6626 + 21.1818i 0.983605 + 1.11638i
\(361\) −22.1099 38.2954i −1.16368 2.01555i
\(362\) 1.98238 + 3.43358i 0.104191 + 0.180465i
\(363\) 1.35684 0.694919i 0.0712157 0.0364738i
\(364\) −3.80911 + 3.41222i −0.199651 + 0.178849i
\(365\) 14.7194 4.54032i 0.770446 0.237651i
\(366\) −9.52504 + 17.4741i −0.497882 + 0.913385i
\(367\) −8.48152 + 10.6355i −0.442732 + 0.555168i −0.952261 0.305285i \(-0.901248\pi\)
0.509529 + 0.860453i \(0.329820\pi\)
\(368\) 19.1058 + 2.87974i 0.995960 + 0.150117i
\(369\) 13.4572 13.7747i 0.700554 0.717082i
\(370\) −7.92546 + 34.7237i −0.412025 + 1.80520i
\(371\) 14.7496 9.68229i 0.765759 0.502679i
\(372\) −0.680314 0.439783i −0.0352726 0.0228017i
\(373\) 12.8979 0.667825 0.333913 0.942604i \(-0.391631\pi\)
0.333913 + 0.942604i \(0.391631\pi\)
\(374\) −5.99503 + 10.3837i −0.309996 + 0.536928i
\(375\) −2.51607 + 1.28863i −0.129929 + 0.0665445i
\(376\) −0.552553 7.37331i −0.0284958 0.380250i
\(377\) 6.28424 7.88019i 0.323655 0.405850i
\(378\) −7.06277 15.3968i −0.363270 0.791923i
\(379\) 3.03834 + 3.80996i 0.156069 + 0.195704i 0.853718 0.520735i \(-0.174342\pi\)
−0.697649 + 0.716439i \(0.745771\pi\)
\(380\) −8.64134 + 8.01799i −0.443291 + 0.411314i
\(381\) −9.20440 + 12.1413i −0.471556 + 0.622017i
\(382\) 11.2718 7.68497i 0.576714 0.393197i
\(383\) 9.01955 11.3102i 0.460877 0.577922i −0.496034 0.868303i \(-0.665211\pi\)
0.956911 + 0.290381i \(0.0937822\pi\)
\(384\) 3.33825 9.16023i 0.170354 0.467456i
\(385\) 25.5394 + 4.30794i 1.30161 + 0.219553i
\(386\) −2.86989 1.38207i −0.146073 0.0703453i
\(387\) 12.5397 + 27.8508i 0.637428 + 1.41574i
\(388\) −4.65189 + 1.43492i −0.236164 + 0.0728470i
\(389\) −14.1642 + 6.82113i −0.718154 + 0.345845i −0.757013 0.653400i \(-0.773342\pi\)
0.0388587 + 0.999245i \(0.487628\pi\)
\(390\) −10.2247 24.2832i −0.517747 1.22963i
\(391\) 10.5379 + 18.2522i 0.532925 + 0.923054i
\(392\) 11.3452 18.1519i 0.573018 0.916807i
\(393\) 7.54144 + 29.6673i 0.380415 + 1.49652i
\(394\) 3.74009 9.52960i 0.188423 0.480094i
\(395\) −38.4789 26.2344i −1.93608 1.32000i
\(396\) 4.45482 + 1.13818i 0.223863 + 0.0571955i
\(397\) 1.75849 23.4654i 0.0882561 1.17770i −0.760653 0.649158i \(-0.775121\pi\)
0.848910 0.528538i \(-0.177260\pi\)
\(398\) −11.9539 + 8.15005i −0.599196 + 0.408525i
\(399\) 32.7163 16.0394i 1.63786 0.802972i
\(400\) −10.3563 7.06079i −0.517814 0.353040i
\(401\) 4.17903 5.24033i 0.208691 0.261690i −0.666459 0.745541i \(-0.732191\pi\)
0.875150 + 0.483851i \(0.160762\pi\)
\(402\) 4.44269 21.9311i 0.221581 1.09382i
\(403\) 2.42829 + 3.04498i 0.120962 + 0.151681i
\(404\) 5.98219 + 1.84526i 0.297625 + 0.0918051i
\(405\) −27.5623 + 2.71300i −1.36958 + 0.134810i
\(406\) −3.12514 + 7.57032i −0.155098 + 0.375709i
\(407\) 10.9171 + 27.8162i 0.541139 + 1.37880i
\(408\) 15.3601 5.15379i 0.760436 0.255151i
\(409\) −18.0531 5.56864i −0.892668 0.275352i −0.185708 0.982605i \(-0.559458\pi\)
−0.706960 + 0.707253i \(0.749934\pi\)
\(410\) −12.1695 + 21.0783i −0.601011 + 1.04098i
\(411\) −0.359006 1.41229i −0.0177085 0.0696633i
\(412\) −7.29138 2.24909i −0.359221 0.110805i
\(413\) 15.2024 18.3932i 0.748059 0.905071i
\(414\) −17.7979 + 18.2177i −0.874717 + 0.895353i
\(415\) 11.2753 + 10.4620i 0.553485 + 0.513559i
\(416\) 6.65510 8.34523i 0.326293 0.409159i
\(417\) 0.609903 + 6.12004i 0.0298671 + 0.299700i
\(418\) 6.93508 30.3846i 0.339206 1.48616i
\(419\) 1.87327 0.577828i 0.0915153 0.0282287i −0.248659 0.968591i \(-0.579990\pi\)
0.340175 + 0.940362i \(0.389514\pi\)
\(420\) −4.27323 5.28193i −0.208512 0.257732i
\(421\) 9.48034 + 2.92430i 0.462044 + 0.142522i 0.517033 0.855965i \(-0.327036\pi\)
−0.0549895 + 0.998487i \(0.517513\pi\)
\(422\) −9.48262 + 16.4244i −0.461607 + 0.799526i
\(423\) 6.18659 + 3.78742i 0.300802 + 0.184151i
\(424\) −14.9487 + 13.8704i −0.725973 + 0.673605i
\(425\) −1.02173 13.6340i −0.0495610 0.661346i
\(426\) 0.0799731 + 0.802486i 0.00387471 + 0.0388806i
\(427\) 12.7082 21.1475i 0.614994 1.02340i
\(428\) 0.812090 2.06917i 0.0392539 0.100017i
\(429\) −18.5644 12.0008i −0.896299 0.579405i
\(430\) −24.0692 30.1818i −1.16072 1.45550i
\(431\) −1.83811 24.5279i −0.0885389 1.18147i −0.847667 0.530528i \(-0.821994\pi\)
0.759128 0.650941i \(-0.225625\pi\)
\(432\) 8.19388 + 12.0496i 0.394228 + 0.579737i
\(433\) 20.2931 9.77266i 0.975226 0.469644i 0.122766 0.992436i \(-0.460824\pi\)
0.852461 + 0.522792i \(0.175109\pi\)
\(434\) −2.58319 1.82823i −0.123997 0.0877580i
\(435\) 10.0363 + 8.86435i 0.481206 + 0.425013i
\(436\) −0.954418 + 0.459624i −0.0457083 + 0.0220120i
\(437\) −40.1586 37.2617i −1.92105 1.78247i
\(438\) 10.5213 1.85080i 0.502726 0.0884345i
\(439\) −2.28407 + 5.81973i −0.109013 + 0.277760i −0.974962 0.222372i \(-0.928620\pi\)
0.865949 + 0.500132i \(0.166715\pi\)
\(440\) −29.9354 −1.42711
\(441\) 7.94599 + 19.4387i 0.378380 + 0.925650i
\(442\) −15.1213 −0.719246
\(443\) 5.78605 14.7426i 0.274904 0.700443i −0.725028 0.688720i \(-0.758173\pi\)
0.999931 0.0117234i \(-0.00373176\pi\)
\(444\) 2.68391 7.36472i 0.127373 0.349514i
\(445\) 4.52025 + 4.19418i 0.214280 + 0.198823i
\(446\) 2.63355 1.26825i 0.124702 0.0600535i
\(447\) 1.63917 8.09166i 0.0775301 0.382722i
\(448\) −8.97184 + 21.7333i −0.423880 + 1.02680i
\(449\) −28.7413 + 13.8411i −1.35638 + 0.653200i −0.963827 0.266527i \(-0.914124\pi\)
−0.392557 + 0.919728i \(0.628409\pi\)
\(450\) 15.5301 5.63826i 0.732094 0.265790i
\(451\) 1.52600 + 20.3630i 0.0718565 + 0.958858i
\(452\) 3.01662 + 3.78272i 0.141890 + 0.177924i
\(453\) 8.45872 4.33221i 0.397425 0.203545i
\(454\) −0.588599 + 1.49973i −0.0276243 + 0.0703856i
\(455\) 11.3994 + 30.6103i 0.534414 + 1.43503i
\(456\) −34.2032 + 24.5695i −1.60171 + 1.15057i
\(457\) −0.748736 9.99119i −0.0350244 0.467368i −0.986949 0.161035i \(-0.948517\pi\)
0.951924 0.306333i \(-0.0991022\pi\)
\(458\) 0.930275 0.863169i 0.0434689 0.0403332i
\(459\) −4.70344 + 15.1827i −0.219538 + 0.708670i
\(460\) −5.10748 + 8.84642i −0.238138 + 0.412466i
\(461\) 8.68631 + 2.67937i 0.404562 + 0.124791i 0.490356 0.871522i \(-0.336867\pi\)
−0.0857945 + 0.996313i \(0.527343\pi\)
\(462\) 17.2011 + 5.17382i 0.800268 + 0.240708i
\(463\) 10.9292 3.37121i 0.507923 0.156673i −0.0301933 0.999544i \(-0.509612\pi\)
0.538116 + 0.842871i \(0.319136\pi\)
\(464\) 1.56771 6.86860i 0.0727792 0.318867i
\(465\) −4.20235 + 3.01871i −0.194879 + 0.139989i
\(466\) 5.14793 6.45530i 0.238473 0.299036i
\(467\) 2.17370 + 2.01690i 0.100587 + 0.0933312i 0.728864 0.684659i \(-0.240049\pi\)
−0.628276 + 0.777990i \(0.716239\pi\)
\(468\) 1.56600 + 5.58322i 0.0723884 + 0.258084i
\(469\) −6.64531 + 26.9328i −0.306852 + 1.24364i
\(470\) −8.76082 2.70236i −0.404107 0.124650i
\(471\) 20.9577 + 5.90573i 0.965680 + 0.272122i
\(472\) −13.7901 + 23.8852i −0.634743 + 1.09941i
\(473\) −30.9493 9.54659i −1.42305 0.438952i
\(474\) −24.2079 21.3810i −1.11191 0.982062i
\(475\) 12.9836 + 33.0818i 0.595730 + 1.51790i
\(476\) −3.74547 + 1.08390i −0.171673 + 0.0496804i
\(477\) −2.47156 19.8527i −0.113165 0.908992i
\(478\) −24.2733 7.48732i −1.11023 0.342462i
\(479\) −0.0940430 0.117926i −0.00429693 0.00538819i 0.779678 0.626180i \(-0.215383\pi\)
−0.783975 + 0.620792i \(0.786811\pi\)
\(480\) 10.6286 + 9.38748i 0.485129 + 0.428478i
\(481\) −23.4966 + 29.4637i −1.07135 + 1.34343i
\(482\) 15.4713 + 10.5481i 0.704698 + 0.480455i
\(483\) 22.9938 21.6377i 1.04626 0.984548i
\(484\) 0.350356 0.238869i 0.0159253 0.0108577i
\(485\) −2.32367 + 31.0072i −0.105513 + 1.40797i
\(486\) −19.2005 0.517680i −0.870951 0.0234825i
\(487\) −30.7837 20.9880i −1.39494 0.951056i −0.999469 0.0325789i \(-0.989628\pi\)
−0.395474 0.918477i \(-0.629420\pi\)
\(488\) −10.4181 + 26.5448i −0.471605 + 1.20163i
\(489\) −6.56210 1.84915i −0.296749 0.0836216i
\(490\) −15.8121 21.3178i −0.714316 0.963040i
\(491\) −10.4972 18.1818i −0.473734 0.820531i 0.525814 0.850600i \(-0.323761\pi\)
−0.999548 + 0.0300685i \(0.990427\pi\)
\(492\) 3.23603 4.26857i 0.145892 0.192442i
\(493\) 6.92383 3.33434i 0.311834 0.150171i
\(494\) 37.5588 11.5853i 1.68985 0.521249i
\(495\) 17.1627 23.8312i 0.771406 1.07113i
\(496\) 2.45275 + 1.18118i 0.110132 + 0.0530365i
\(497\) −0.0572505 0.998141i −0.00256804 0.0447728i
\(498\) 6.85352 + 8.17442i 0.307114 + 0.366305i
\(499\) 12.5228 15.7031i 0.560598 0.702968i −0.418070 0.908415i \(-0.637293\pi\)
0.978668 + 0.205447i \(0.0658647\pi\)
\(500\) −0.649685 + 0.442948i −0.0290548 + 0.0198092i
\(501\) 5.48983 + 0.690220i 0.245267 + 0.0308367i
\(502\) −5.07209 + 4.70621i −0.226378 + 0.210048i
\(503\) 7.25854 + 9.10192i 0.323642 + 0.405834i 0.916861 0.399207i \(-0.130714\pi\)
−0.593219 + 0.805041i \(0.702143\pi\)
\(504\) −12.7930 20.6266i −0.569843 0.918783i
\(505\) 24.9310 31.2624i 1.10941 1.39116i
\(506\) −2.01821 26.9312i −0.0897204 1.19724i
\(507\) 0.269432 5.35507i 0.0119659 0.237827i
\(508\) −2.11900 + 3.67021i −0.0940152 + 0.162839i
\(509\) −12.2952 −0.544974 −0.272487 0.962159i \(-0.587846\pi\)
−0.272487 + 0.962159i \(0.587846\pi\)
\(510\) 1.00948 20.0638i 0.0447003 0.888438i
\(511\) −13.1283 + 1.74433i −0.580760 + 0.0771644i
\(512\) 5.47667 23.9949i 0.242037 1.06043i
\(513\) 0.0501247 41.3150i 0.00221306 1.82410i
\(514\) 23.0384 + 3.47247i 1.01618 + 0.153164i
\(515\) −30.3871 + 38.1042i −1.33901 + 1.67907i
\(516\) 4.42717 + 7.25133i 0.194895 + 0.319222i
\(517\) −7.35020 + 2.26724i −0.323261 + 0.0997129i
\(518\) 11.6848 28.3052i 0.513400 1.24366i
\(519\) −7.59561 4.91012i −0.333410 0.215530i
\(520\) −18.8765 32.6951i −0.827790 1.43377i
\(521\) 4.37961 + 7.58572i 0.191874 + 0.332336i 0.945871 0.324542i \(-0.105210\pi\)
−0.753997 + 0.656878i \(0.771877\pi\)
\(522\) 6.13918 + 6.96789i 0.268705 + 0.304976i
\(523\) −30.4563 + 20.7648i −1.33176 + 0.907981i −0.999382 0.0351643i \(-0.988805\pi\)
−0.332382 + 0.943145i \(0.607852\pi\)
\(524\) 3.11075 + 7.92607i 0.135894 + 0.346252i
\(525\) −19.5296 + 6.17462i −0.852340 + 0.269482i
\(526\) 5.78599 14.7425i 0.252281 0.642802i
\(527\) 0.660776 + 2.89505i 0.0287839 + 0.126110i
\(528\) −15.3309 1.92751i −0.667194 0.0838843i
\(529\) −22.0482 10.6179i −0.958617 0.461646i
\(530\) 9.23782 + 23.5376i 0.401265 + 1.02241i
\(531\) −11.1085 24.6722i −0.482067 1.07068i
\(532\) 8.47268 5.56185i 0.367337 0.241137i
\(533\) −21.2780 + 14.5071i −0.921653 + 0.628373i
\(534\) 2.74755 + 3.27710i 0.118898 + 0.141814i
\(535\) −10.4077 9.65691i −0.449963 0.417505i
\(536\) 2.39603 31.9728i 0.103493 1.38101i
\(537\) 44.4783 + 5.59212i 1.91938 + 0.241318i
\(538\) 7.31414 12.6685i 0.315335 0.546176i
\(539\) −21.0361 7.30449i −0.906089 0.314627i
\(540\) −7.51267 + 1.70513i −0.323294 + 0.0733771i
\(541\) 33.7860 5.09243i 1.45258 0.218940i 0.625145 0.780509i \(-0.285040\pi\)
0.827430 + 0.561568i \(0.189802\pi\)
\(542\) −17.9821 + 8.65973i −0.772398 + 0.371967i
\(543\) −5.57160 + 0.136692i −0.239100 + 0.00586603i
\(544\) 7.33243 3.53111i 0.314376 0.151395i
\(545\) 0.505636 + 6.74724i 0.0216591 + 0.289020i
\(546\) 5.19581 + 22.0493i 0.222360 + 0.943625i
\(547\) −0.117323 + 1.56556i −0.00501636 + 0.0669387i −0.999150 0.0412187i \(-0.986876\pi\)
0.994134 + 0.108157i \(0.0344950\pi\)
\(548\) −0.148086 0.377316i −0.00632590 0.0161181i
\(549\) −15.1591 23.5125i −0.646973 1.00349i
\(550\) −6.40065 + 16.3086i −0.272925 + 0.695401i
\(551\) −14.6430 + 13.5867i −0.623813 + 0.578814i
\(552\) −22.0463 + 29.0808i −0.938355 + 1.23776i
\(553\) 28.8705 + 27.7441i 1.22770 + 1.17980i
\(554\) 3.31747 + 0.500029i 0.140946 + 0.0212442i
\(555\) −37.5255 33.1435i −1.59287 1.40686i
\(556\) 0.380683 + 1.66788i 0.0161446 + 0.0707340i
\(557\) 5.38767 + 9.33171i 0.228283 + 0.395397i 0.957299 0.289099i \(-0.0933556\pi\)
−0.729017 + 0.684496i \(0.760022\pi\)
\(558\) −3.15282 + 1.71363i −0.133470 + 0.0725437i
\(559\) −9.08918 39.8223i −0.384431 1.68430i
\(560\) 16.4626 + 15.8202i 0.695670 + 0.668527i
\(561\) −8.78270 14.3853i −0.370806 0.607349i
\(562\) 4.99358 21.8783i 0.210642 0.922881i
\(563\) 17.0718 + 43.4983i 0.719492 + 1.83323i 0.522038 + 0.852923i \(0.325172\pi\)
0.197454 + 0.980312i \(0.436733\pi\)
\(564\) 1.83883 + 0.830608i 0.0774288 + 0.0349749i
\(565\) 29.5303 9.10890i 1.24235 0.383214i
\(566\) 1.80428 7.90506i 0.0758395 0.332275i
\(567\) 23.7551 + 1.64146i 0.997621 + 0.0689350i
\(568\) 0.257133 + 1.12657i 0.0107891 + 0.0472700i
\(569\) −0.875938 1.51717i −0.0367212 0.0636031i 0.847081 0.531464i \(-0.178358\pi\)
−0.883802 + 0.467861i \(0.845025\pi\)
\(570\) 12.8647 + 50.6085i 0.538843 + 2.11976i
\(571\) 19.2866 + 5.94913i 0.807120 + 0.248963i 0.670739 0.741693i \(-0.265977\pi\)
0.136380 + 0.990657i \(0.456453\pi\)
\(572\) −5.53994 2.66789i −0.231636 0.111550i
\(573\) 1.90170 + 19.0825i 0.0794445 + 0.797182i
\(574\) 13.3316 16.1297i 0.556448 0.673242i
\(575\) 19.2008 + 24.0770i 0.800727 + 1.00408i
\(576\) 17.6247 + 20.0038i 0.734363 + 0.833493i
\(577\) −9.86765 + 25.1424i −0.410795 + 1.04669i 0.564431 + 0.825480i \(0.309096\pi\)
−0.975226 + 0.221209i \(0.929000\pi\)
\(578\) 8.48481 + 4.08607i 0.352922 + 0.169958i
\(579\) 3.63662 2.61232i 0.151133 0.108564i
\(580\) 3.07747 + 2.09819i 0.127785 + 0.0871224i
\(581\) −8.06306 10.4820i −0.334512 0.434868i
\(582\) −4.28148 + 21.1352i −0.177473 + 0.876083i
\(583\) 17.5279 + 11.9503i 0.725933 + 0.494933i
\(584\) 14.6269 4.51181i 0.605266 0.186700i
\(585\) 36.8505 + 3.71756i 1.52358 + 0.153702i
\(586\) 23.3277 3.51609i 0.963660 0.145248i
\(587\) −16.6365 + 28.8152i −0.686661 + 1.18933i 0.286251 + 0.958155i \(0.407591\pi\)
−0.972912 + 0.231177i \(0.925742\pi\)
\(588\) 2.86748 + 5.08908i 0.118253 + 0.209870i
\(589\) −3.85934 6.68457i −0.159021 0.275433i
\(590\) 21.3221 + 26.7371i 0.877818 + 1.10075i
\(591\) 9.24562 + 11.0275i 0.380314 + 0.453613i
\(592\) −5.86162 + 25.6814i −0.240911 + 1.05550i
\(593\) 1.65494 22.0836i 0.0679602 0.906866i −0.854172 0.519991i \(-0.825935\pi\)
0.922132 0.386875i \(-0.126446\pi\)
\(594\) 13.8715 14.9136i 0.569153 0.611910i
\(595\) −2.29558 + 24.7988i −0.0941097 + 1.01665i
\(596\) 0.171616 2.29006i 0.00702968 0.0938046i
\(597\) −2.01678 20.2373i −0.0825414 0.828258i
\(598\) 28.1413 19.1864i 1.15078 0.784590i
\(599\) −17.0455 + 2.56919i −0.696460 + 0.104974i −0.487724 0.872998i \(-0.662173\pi\)
−0.208735 + 0.977972i \(0.566935\pi\)
\(600\) 21.0708 10.7916i 0.860211 0.440565i
\(601\) 32.3858 4.88138i 1.32105 0.199116i 0.549609 0.835422i \(-0.314777\pi\)
0.771436 + 0.636307i \(0.219539\pi\)
\(602\) 16.0896 + 29.0300i 0.655763 + 1.18317i
\(603\) 24.0794 + 20.2382i 0.980589 + 0.824165i
\(604\) 2.18416 1.48914i 0.0888724 0.0605922i
\(605\) −0.602682 2.64052i −0.0245025 0.107353i
\(606\) 19.8597 19.3550i 0.806747 0.786243i
\(607\) 0.226666 0.00920010 0.00460005 0.999989i \(-0.498536\pi\)
0.00460005 + 0.999989i \(0.498536\pi\)
\(608\) −15.5072 + 14.3885i −0.628898 + 0.583532i
\(609\) −7.24111 8.95038i −0.293425 0.362688i
\(610\) 25.9195 + 24.0498i 1.04945 + 0.973747i
\(611\) −7.11110 6.59814i −0.287685 0.266932i
\(612\) −0.771258 + 4.35343i −0.0311763 + 0.175977i
\(613\) −20.8878 3.14833i −0.843651 0.127160i −0.287025 0.957923i \(-0.592666\pi\)
−0.556626 + 0.830763i \(0.687904\pi\)
\(614\) 8.15555 2.51565i 0.329131 0.101523i
\(615\) −17.8284 29.2013i −0.718909 1.17751i
\(616\) 25.3790 + 4.28089i 1.02255 + 0.172482i
\(617\) 15.4469 14.3326i 0.621868 0.577009i −0.305021 0.952346i \(-0.598663\pi\)
0.926889 + 0.375337i \(0.122473\pi\)
\(618\) −24.2060 + 23.5908i −0.973709 + 0.948961i
\(619\) −45.4942 −1.82857 −0.914283 0.405075i \(-0.867245\pi\)
−0.914283 + 0.405075i \(0.867245\pi\)
\(620\) −1.05504 + 0.978938i −0.0423716 + 0.0393151i
\(621\) −10.5111 34.2235i −0.421796 1.37334i
\(622\) 8.53932 10.7080i 0.342395 0.429350i
\(623\) −3.23245 4.20221i −0.129506 0.168358i
\(624\) −7.56211 17.9597i −0.302727 0.718965i
\(625\) 6.09052 + 26.6843i 0.243621 + 1.06737i
\(626\) −8.10840 + 1.22215i −0.324077 + 0.0488467i
\(627\) 32.8363 + 29.0018i 1.31135 + 1.15822i
\(628\) 5.98895 + 0.902690i 0.238985 + 0.0360212i
\(629\) −25.8879 + 12.4670i −1.03222 + 0.497091i
\(630\) −29.6032 + 5.42211i −1.17942 + 0.216022i
\(631\) −14.0346 6.75871i −0.558709 0.269060i 0.133146 0.991096i \(-0.457492\pi\)
−0.691855 + 0.722037i \(0.743206\pi\)
\(632\) −38.2372 26.0697i −1.52100 1.03700i
\(633\) −13.8920 22.7539i −0.552158 0.904388i
\(634\) −0.330237 + 4.40670i −0.0131154 + 0.175012i
\(635\) 16.8773 + 21.1635i 0.669755 + 0.839846i
\(636\) −1.37098 5.39330i −0.0543630 0.213858i
\(637\) −5.28697 27.5814i −0.209477 1.09282i
\(638\) −9.84743 −0.389863
\(639\) −1.04427 0.441192i −0.0413107 0.0174533i
\(640\) −14.3119 9.75766i −0.565726 0.385706i
\(641\) −6.76117 + 29.6226i −0.267050 + 1.17002i 0.646376 + 0.763019i \(0.276284\pi\)
−0.913426 + 0.407005i \(0.866573\pi\)
\(642\) −6.32613 7.54538i −0.249672 0.297792i
\(643\) 1.52389 + 20.3348i 0.0600962 + 0.801928i 0.943089 + 0.332541i \(0.107906\pi\)
−0.882993 + 0.469387i \(0.844475\pi\)
\(644\) 5.59517 6.76955i 0.220481 0.266758i
\(645\) 53.4452 9.40155i 2.10440 0.370186i
\(646\) 29.6335 + 4.46653i 1.16591 + 0.175733i
\(647\) −0.505036 6.73924i −0.0198550 0.264947i −0.998293 0.0584056i \(-0.981398\pi\)
0.978438 0.206541i \(-0.0662207\pi\)
\(648\) −27.3892 + 2.69596i −1.07595 + 0.105907i
\(649\) 27.4169 + 8.45701i 1.07621 + 0.331967i
\(650\) −21.8482 + 3.29308i −0.856955 + 0.129165i
\(651\) 3.99442 1.95829i 0.156554 0.0767514i
\(652\) −1.87521 0.282643i −0.0734390 0.0110691i
\(653\) −5.99493 2.88701i −0.234600 0.112977i 0.312891 0.949789i \(-0.398703\pi\)
−0.547491 + 0.836812i \(0.684417\pi\)
\(654\) −0.235796 + 4.68656i −0.00922037 + 0.183259i
\(655\) 54.3852 2.12500
\(656\) −9.00052 + 15.5894i −0.351411 + 0.608662i
\(657\) −4.79419 + 14.2310i −0.187039 + 0.555206i
\(658\) 7.04093 + 3.54388i 0.274484 + 0.138155i
\(659\) −22.7743 21.1315i −0.887161 0.823165i 0.0979311 0.995193i \(-0.468778\pi\)
−0.985092 + 0.172028i \(0.944968\pi\)
\(660\) 3.90975 7.17259i 0.152187 0.279193i
\(661\) −6.72452 17.1338i −0.261554 0.666428i 0.738415 0.674346i \(-0.235575\pi\)
−0.999969 + 0.00791890i \(0.997479\pi\)
\(662\) −1.90245 4.84737i −0.0739409 0.188398i
\(663\) 10.1733 18.6634i 0.395100 0.724827i
\(664\) 11.2045 + 10.3963i 0.434820 + 0.403454i
\(665\) −13.2980 63.3549i −0.515675 2.45680i
\(666\) −22.9542 26.0527i −0.889456 1.00952i
\(667\) −8.65478 + 14.9905i −0.335114 + 0.580435i
\(668\) 1.53907 0.0595482
\(669\) −0.206472 + 4.10372i −0.00798266 + 0.158659i
\(670\) −35.8186 17.2493i −1.38379 0.666400i
\(671\) 29.3338 + 4.42135i 1.13242 + 0.170685i
\(672\) −7.66845 9.47859i −0.295817 0.365644i
\(673\) 42.3920 6.38957i 1.63409 0.246300i 0.733095 0.680126i \(-0.238075\pi\)
0.900997 + 0.433826i \(0.142837\pi\)
\(674\) 33.7817 + 10.4203i 1.30122 + 0.401374i
\(675\) −3.48935 + 22.9613i −0.134305 + 0.883780i
\(676\) −0.111456 1.48727i −0.00428676 0.0572028i
\(677\) −27.1456 4.09154i −1.04329 0.157251i −0.395029 0.918669i \(-0.629266\pi\)
−0.648261 + 0.761418i \(0.724504\pi\)
\(678\) 21.1080 3.71311i 0.810649 0.142601i
\(679\) 6.40417 25.9555i 0.245769 0.996079i
\(680\) −2.15110 28.7044i −0.0824909 1.10076i
\(681\) −1.45503 1.73547i −0.0557570 0.0665032i
\(682\) 0.846722 3.70973i 0.0324227 0.142053i
\(683\) 41.2612 + 28.1314i 1.57882 + 1.07642i 0.955722 + 0.294270i \(0.0950766\pi\)
0.623093 + 0.782148i \(0.285876\pi\)
\(684\) −1.41975 11.4041i −0.0542856 0.436047i
\(685\) −2.58897 −0.0989196
\(686\) 10.3568 + 20.3343i 0.395426 + 0.776367i
\(687\) 0.439492 + 1.72892i 0.0167676 + 0.0659622i
\(688\) −17.8014 22.3223i −0.678674 0.851030i
\(689\) −1.99935 + 26.6794i −0.0761690 + 1.01640i
\(690\) 23.5789 + 38.6203i 0.897634 + 1.47025i
\(691\) −23.9862 16.3535i −0.912477 0.622116i 0.0134127 0.999910i \(-0.495730\pi\)
−0.925890 + 0.377794i \(0.876683\pi\)
\(692\) −2.26666 1.09156i −0.0861654 0.0414951i
\(693\) −17.9584 + 17.7496i −0.682183 + 0.674251i
\(694\) 40.6185 19.5608i 1.54186 0.742519i
\(695\) 10.8051 + 1.62860i 0.409860 + 0.0617765i
\(696\) 9.97332 + 8.80869i 0.378038 + 0.333892i
\(697\) −19.4160 + 2.92650i −0.735435 + 0.110849i
\(698\) −0.122409 0.536311i −0.00463326 0.0202997i
\(699\) 4.50400 + 10.6968i 0.170357 + 0.404591i
\(700\) −5.17563 + 2.38176i −0.195621 + 0.0900221i
\(701\) 12.4190 15.5729i 0.469058 0.588181i −0.489882 0.871789i \(-0.662960\pi\)
0.958940 + 0.283608i \(0.0915315\pi\)
\(702\) 25.0354 + 5.74614i 0.944901 + 0.216874i
\(703\) 54.7497 50.8003i 2.06492 1.91597i
\(704\) −28.2706 −1.06549
\(705\) 9.22951 8.99493i 0.347603 0.338769i
\(706\) −25.1997 + 23.3819i −0.948405 + 0.879991i
\(707\) −25.6070 + 22.9389i −0.963049 + 0.862705i
\(708\) −3.92188 6.42371i −0.147393 0.241418i
\(709\) 10.7219 3.30726i 0.402668 0.124207i −0.0868045 0.996225i \(-0.527666\pi\)
0.489473 + 0.872019i \(0.337189\pi\)
\(710\) 1.41681 + 0.213550i 0.0531719 + 0.00801438i
\(711\) 42.6761 15.4938i 1.60048 0.581061i
\(712\) 4.49186 + 4.16784i 0.168340 + 0.156196i
\(713\) −4.90307 4.54938i −0.183621 0.170376i
\(714\) −3.72503 + 16.8656i −0.139406 + 0.631178i
\(715\) −28.7901 + 26.7133i −1.07669 + 0.999021i
\(716\) 12.4694 0.466004
\(717\) 25.5719 24.9219i 0.954999 0.930726i
\(718\) −0.324485 1.42166i −0.0121097 0.0530560i
\(719\) −24.8756 + 16.9599i −0.927702 + 0.632497i −0.930023 0.367501i \(-0.880214\pi\)
0.00232115 + 0.999997i \(0.499261\pi\)
\(720\) 24.3348 8.83486i 0.906905 0.329256i
\(721\) 31.2110 27.9590i 1.16236 1.04125i
\(722\) −53.8772 + 8.12068i −2.00510 + 0.302220i
\(723\) −23.4278 + 11.9988i −0.871291 + 0.446240i
\(724\) −1.53294 + 0.231053i −0.0569713 + 0.00858704i
\(725\) 9.27783 6.32551i 0.344570 0.234924i
\(726\) −0.186268 1.86910i −0.00691306 0.0693687i
\(727\) 0.131157 1.75017i 0.00486435 0.0649102i −0.994243 0.107146i \(-0.965829\pi\)
0.999108 + 0.0422354i \(0.0134479\pi\)
\(728\) 11.3279 + 30.4181i 0.419838 + 1.12737i
\(729\) 13.5567 23.3499i 0.502100 0.864810i
\(730\) 1.41836 18.9267i 0.0524959 0.700510i
\(731\) 6.93007 30.3626i 0.256318 1.12300i
\(732\) −4.99955 5.96312i −0.184789 0.220403i
\(733\) −13.3717 16.7676i −0.493897 0.619327i 0.470944 0.882163i \(-0.343913\pi\)
−0.964840 + 0.262836i \(0.915342\pi\)
\(734\) 8.38071 + 14.5158i 0.309338 + 0.535789i
\(735\) 36.9495 5.17375i 1.36290 0.190837i
\(736\) −9.16554 + 15.8752i −0.337846 + 0.585167i
\(737\) −32.9818 + 4.97121i −1.21490 + 0.183117i
\(738\) −9.74148 21.6360i −0.358589 0.796432i
\(739\) 16.6133 5.12452i 0.611129 0.188508i 0.0262856 0.999654i \(-0.491632\pi\)
0.584844 + 0.811146i \(0.301156\pi\)
\(740\) −11.5066 7.84504i −0.422990 0.288389i
\(741\) −10.9697 + 54.1512i −0.402982 + 1.98930i
\(742\) −4.46579 21.2761i −0.163944 0.781069i
\(743\) −22.2422 15.1645i −0.815989 0.556332i 0.0818557 0.996644i \(-0.473915\pi\)
−0.897845 + 0.440312i \(0.854868\pi\)
\(744\) −4.17596 + 2.99975i −0.153098 + 0.109976i
\(745\) −13.2156 6.36429i −0.484182 0.233170i
\(746\) 5.80607 14.7936i 0.212575 0.541633i
\(747\) −14.7002 + 2.95933i −0.537852 + 0.108276i
\(748\) −2.92306 3.66540i −0.106878 0.134020i
\(749\) 7.44259 + 9.67542i 0.271946 + 0.353532i
\(750\) 0.345408 + 3.46598i 0.0126125 + 0.126560i
\(751\) −26.3205 12.6753i −0.960450 0.462529i −0.113112 0.993582i \(-0.536082\pi\)
−0.847338 + 0.531054i \(0.821796\pi\)
\(752\) −6.47945 1.99865i −0.236281 0.0728831i
\(753\) −2.39622 9.42647i −0.0873230 0.343520i
\(754\) −6.20955 10.7553i −0.226138 0.391683i
\(755\) −3.75720 16.4614i −0.136738 0.599090i
\(756\) 6.61303 0.371256i 0.240514 0.0135024i
\(757\) −7.66341 + 33.5756i −0.278531 + 1.22033i 0.621120 + 0.783716i \(0.286678\pi\)
−0.899651 + 0.436610i \(0.856179\pi\)
\(758\) 5.73769 1.76984i 0.208402 0.0642836i
\(759\) 34.5975 + 15.6278i 1.25581 + 0.567255i
\(760\) 27.3352 + 69.6489i 0.991552 + 2.52643i
\(761\) 9.15770 40.1225i 0.331966 1.45444i −0.483351 0.875426i \(-0.660581\pi\)
0.815318 0.579014i \(-0.196562\pi\)
\(762\) 9.78243 + 16.0228i 0.354380 + 0.580445i
\(763\) 0.536209 5.79258i 0.0194121 0.209705i
\(764\) 1.18698 + 5.20051i 0.0429435 + 0.188148i
\(765\) 24.0845 + 14.7445i 0.870777 + 0.533088i
\(766\) −8.91234 15.4366i −0.322016 0.557748i
\(767\) 8.05181 + 35.2773i 0.290734 + 1.27379i
\(768\) 14.0698 + 12.4268i 0.507701 + 0.448414i
\(769\) −33.5770 5.06092i −1.21082 0.182501i −0.487566 0.873086i \(-0.662115\pi\)
−0.723252 + 0.690584i \(0.757353\pi\)
\(770\) 16.4379 27.3540i 0.592381 0.985771i
\(771\) −19.7857 + 26.0988i −0.712565 + 0.939926i
\(772\) 0.913012 0.847151i 0.0328600 0.0304896i
\(773\) 10.3836 26.4570i 0.373473 0.951594i −0.613353 0.789809i \(-0.710180\pi\)
0.986826 0.161785i \(-0.0517250\pi\)
\(774\) 37.5893 1.84553i 1.35112 0.0663361i
\(775\) 1.58521 + 4.03904i 0.0569424 + 0.145087i
\(776\) −2.30908 + 30.8125i −0.0828912 + 1.10611i
\(777\) 27.0743 + 33.4652i 0.971284 + 1.20056i
\(778\) 1.44759 + 19.3167i 0.0518985 + 0.692538i
\(779\) 45.9841 22.1448i 1.64755 0.793418i
\(780\) 10.2992 0.252679i 0.368771 0.00904735i
\(781\) 1.08306 0.521575i 0.0387550 0.0186634i
\(782\) 25.6787 3.87044i 0.918269 0.138407i
\(783\) −12.7304 + 2.88939i −0.454949 + 0.103258i
\(784\) −11.6945 15.7665i −0.417661 0.563090i
\(785\) 19.3425 33.5022i 0.690363 1.19574i
\(786\) 37.4227 + 4.70505i 1.33482 + 0.167824i
\(787\) 1.75900 23.4723i 0.0627017 0.836697i −0.873856 0.486184i \(-0.838388\pi\)
0.936558 0.350512i \(-0.113993\pi\)
\(788\) 2.93430 + 2.72264i 0.104530 + 0.0969899i
\(789\) 14.3031 + 17.0598i 0.509205 + 0.607346i
\(790\) −47.4121 + 32.3250i −1.68685 + 1.15007i
\(791\) −26.3382 + 3.49951i −0.936480 + 0.124428i
\(792\) 17.0549 23.6815i 0.606020 0.841486i
\(793\) 13.6682 + 34.8260i 0.485372 + 1.23671i
\(794\) −26.1229 12.5801i −0.927066 0.446452i
\(795\) −35.2663 4.43392i −1.25077 0.157255i
\(796\) −1.25882 5.51523i −0.0446176 0.195482i
\(797\) −2.28575 + 5.82398i −0.0809652 + 0.206296i −0.965624 0.259943i \(-0.916296\pi\)
0.884659 + 0.466239i \(0.154391\pi\)
\(798\) −3.66940 44.7453i −0.129895 1.58397i
\(799\) −2.70218 6.88504i −0.0955962 0.243575i
\(800\) 9.82535 6.69881i 0.347379 0.236839i
\(801\) −5.89326 + 1.18639i −0.208228 + 0.0419189i
\(802\) −4.12936 7.15226i −0.145813 0.252555i
\(803\) −7.96188 13.7904i −0.280969 0.486652i
\(804\) 7.34782 + 4.74994i 0.259138 + 0.167517i
\(805\) −27.1934 49.0642i −0.958440 1.72929i
\(806\) 4.58565 1.41449i 0.161523 0.0498231i
\(807\) 10.7152 + 17.5506i 0.377193 + 0.617810i
\(808\) 24.7744 31.0661i 0.871560 1.09290i
\(809\) −30.7505 4.63489i −1.08113 0.162954i −0.415764 0.909473i \(-0.636486\pi\)
−0.665364 + 0.746519i \(0.731724\pi\)
\(810\) −9.29562 + 32.8348i −0.326615 + 1.15370i
\(811\) −3.77836 + 16.5541i −0.132676 + 0.581292i 0.864258 + 0.503049i \(0.167788\pi\)
−0.996934 + 0.0782436i \(0.975069\pi\)
\(812\) −2.30901 2.21892i −0.0810305 0.0778689i
\(813\) 1.40981 28.0205i 0.0494440 0.982722i
\(814\) 36.8192 1.29051
\(815\) −6.05636 + 10.4899i −0.212145 + 0.367446i
\(816\) 0.746602 14.8390i 0.0261363 0.519470i
\(817\) 6.04952 + 80.7253i 0.211646 + 2.82422i
\(818\) −14.5139 + 18.1998i −0.507466 + 0.636343i
\(819\) −30.7100 8.42150i −1.07309 0.294271i
\(820\) −5.93363 7.44053i −0.207211 0.259835i
\(821\) −0.543744 + 0.504521i −0.0189768 + 0.0176079i −0.689604 0.724187i \(-0.742215\pi\)
0.670627 + 0.741794i \(0.266025\pi\)
\(822\) −1.78149 0.223981i −0.0621365 0.00781224i
\(823\) −24.3528 + 16.6035i −0.848887 + 0.578761i −0.907753 0.419505i \(-0.862204\pi\)
0.0588663 + 0.998266i \(0.481251\pi\)
\(824\) −30.1962 + 37.8649i −1.05194 + 1.31909i
\(825\) −15.8226 18.8721i −0.550872 0.657043i
\(826\) −14.2533 25.7167i −0.495934 0.894799i
\(827\) −8.54092 4.11309i −0.296997 0.143026i 0.279451 0.960160i \(-0.409847\pi\)
−0.576448 + 0.817134i \(0.695562\pi\)
\(828\) −4.08844 9.08049i −0.142083 0.315569i
\(829\) −18.0493 + 5.56748i −0.626879 + 0.193366i −0.591887 0.806021i \(-0.701617\pi\)
−0.0349919 + 0.999388i \(0.511141\pi\)
\(830\) 17.0754 8.22309i 0.592697 0.285428i
\(831\) −2.84910 + 3.75818i −0.0988342 + 0.130370i
\(832\) −17.8267 30.8768i −0.618031 1.07046i
\(833\) 5.49251 20.6960i 0.190304 0.717073i
\(834\) 7.29414 + 2.05544i 0.252576 + 0.0711740i
\(835\) 3.59144 9.15084i 0.124287 0.316678i
\(836\) 10.0687 + 6.86471i 0.348233 + 0.237421i
\(837\) 0.00611986 5.04426i 0.000211533 0.174355i
\(838\) 0.180509 2.40873i 0.00623558 0.0832081i
\(839\) 29.2697 19.9557i 1.01050 0.688949i 0.0595307 0.998226i \(-0.481040\pi\)
0.950972 + 0.309277i \(0.100087\pi\)
\(840\) −41.1167 + 12.9998i −1.41866 + 0.448535i
\(841\) −18.7461 12.7808i −0.646416 0.440719i
\(842\) 7.62178 9.55741i 0.262664 0.329370i
\(843\) 23.6437 + 20.8827i 0.814331 + 0.719237i
\(844\) −4.62354 5.79773i −0.159149 0.199566i
\(845\) −9.10299 2.80790i −0.313152 0.0965947i
\(846\) 7.12906 5.39098i 0.245102 0.185346i
\(847\) 0.133344 + 2.32481i 0.00458176 + 0.0798813i
\(848\) 6.83224 + 17.4083i 0.234620 + 0.597802i
\(849\) 8.54292 + 7.54532i 0.293192 + 0.258955i
\(850\) −16.0979 4.96555i −0.552154 0.170317i
\(851\) 32.3599 56.0490i 1.10928 1.92134i
\(852\) −0.303513 0.0855278i −0.0103982 0.00293013i
\(853\) 4.78005 + 1.47445i 0.163666 + 0.0504842i 0.375505 0.926820i \(-0.377469\pi\)
−0.211840 + 0.977304i \(0.567945\pi\)
\(854\) −18.5352 24.0959i −0.634261 0.824543i
\(855\) −71.1186 18.1703i −2.43220 0.621410i
\(856\) −10.3423 9.59627i −0.353493 0.327994i
\(857\) −15.8482 + 19.8730i −0.541364 + 0.678848i −0.974991 0.222244i \(-0.928662\pi\)
0.433628 + 0.901092i \(0.357233\pi\)
\(858\) −22.1217 + 15.8908i −0.755222 + 0.542504i
\(859\) 8.40963 36.8450i 0.286933 1.25714i −0.601777 0.798664i \(-0.705540\pi\)
0.888710 0.458471i \(-0.151603\pi\)
\(860\) 14.4239 4.44919i 0.491851 0.151716i
\(861\) 10.9389 + 27.3063i 0.372795 + 0.930595i
\(862\) −28.9606 8.93316i −0.986402 0.304265i
\(863\) −13.6705 + 23.6780i −0.465349 + 0.806008i −0.999217 0.0395598i \(-0.987404\pi\)
0.533868 + 0.845568i \(0.320738\pi\)
\(864\) −13.4817 + 3.05991i −0.458657 + 0.104100i
\(865\) −11.7794 + 10.9297i −0.400512 + 0.371621i
\(866\) −2.07397 27.6752i −0.0704762 0.940440i
\(867\) −10.7517 + 7.72332i −0.365145 + 0.262298i
\(868\) 1.03445 0.679062i 0.0351116 0.0230489i
\(869\) −17.5888 + 44.8155i −0.596659 + 1.52026i
\(870\) 14.6852 7.52117i 0.497875 0.254992i
\(871\) −26.2270 32.8877i −0.888670 1.11436i
\(872\) 0.502461 + 6.70487i 0.0170155 + 0.227056i
\(873\) −23.2056 19.5038i −0.785391 0.660104i
\(874\) −60.8163 + 29.2876i −2.05714 + 0.990667i
\(875\) −0.247268 4.31102i −0.00835918 0.145739i
\(876\) −0.829327 + 4.09392i −0.0280204 + 0.138321i
\(877\) 17.3120 8.33700i 0.584583 0.281520i −0.118125 0.992999i \(-0.537688\pi\)
0.702708 + 0.711478i \(0.251974\pi\)
\(878\) 5.64694 + 5.23959i 0.190575 + 0.176828i
\(879\) −11.3548 + 31.1578i −0.382987 + 1.05093i
\(880\) −10.0295 + 25.5547i −0.338094 + 0.861449i
\(881\) 13.4366 0.452692 0.226346 0.974047i \(-0.427322\pi\)
0.226346 + 0.974047i \(0.427322\pi\)
\(882\) 25.8728 0.363453i 0.871182 0.0122381i
\(883\) −19.9939 −0.672850 −0.336425 0.941710i \(-0.609218\pi\)
−0.336425 + 0.941710i \(0.609218\pi\)
\(884\) 2.16010 5.50384i 0.0726520 0.185114i
\(885\) −47.3454 + 8.32853i −1.59150 + 0.279960i
\(886\) −14.3049 13.2730i −0.480583 0.445916i
\(887\) −31.9647 + 15.3934i −1.07327 + 0.516860i −0.885159 0.465288i \(-0.845951\pi\)
−0.188111 + 0.982148i \(0.560236\pi\)
\(888\) −37.2899 32.9354i −1.25137 1.10524i
\(889\) −11.2820 20.3558i −0.378386 0.682711i
\(890\) 6.84548 3.29661i 0.229461 0.110503i
\(891\) 9.07454 + 27.1544i 0.304008 + 0.909707i
\(892\) 0.0854112 + 1.13973i 0.00285978 + 0.0381611i
\(893\) 11.9868 + 15.0310i 0.401123 + 0.502993i
\(894\) −8.54312 5.52263i −0.285725 0.184704i
\(895\) 29.0977 74.1396i 0.972628 2.47821i
\(896\) 10.7381 + 10.3191i 0.358736 + 0.344739i
\(897\) 4.74780 + 47.6416i 0.158524 + 1.59071i
\(898\) 2.93737 + 39.1965i 0.0980213 + 1.30800i
\(899\) −1.78780 + 1.65884i −0.0596266 + 0.0553254i
\(900\) −0.166281 + 6.45806i −0.00554269 + 0.215269i
\(901\) −10.1994 + 17.6659i −0.339792 + 0.588537i
\(902\) 24.0430 + 7.41629i 0.800545 + 0.246935i
\(903\) −46.6550 + 0.327682i −1.55258 + 0.0109046i
\(904\) 29.3449 9.05170i 0.975996 0.301055i
\(905\) −2.20337 + 9.65359i −0.0732425 + 0.320896i
\(906\) −1.16122 11.6522i −0.0385789 0.387118i
\(907\) −31.8235 + 39.9054i −1.05668 + 1.32504i −0.113215 + 0.993570i \(0.536115\pi\)
−0.943467 + 0.331467i \(0.892456\pi\)
\(908\) −0.461788 0.428476i −0.0153250 0.0142195i
\(909\) 10.5276 + 37.5336i 0.349177 + 1.24491i
\(910\) 40.2411 + 0.704512i 1.33398 + 0.0233543i
\(911\) −46.9881 14.4939i −1.55679 0.480205i −0.607421 0.794380i \(-0.707796\pi\)
−0.949365 + 0.314176i \(0.898272\pi\)
\(912\) 9.51466 + 37.4297i 0.315062 + 1.23942i
\(913\) 7.95034 13.7704i 0.263118 0.455734i
\(914\) −11.7968 3.63883i −0.390203 0.120362i
\(915\) −47.1216 + 15.8108i −1.55779 + 0.522689i
\(916\) 0.181285 + 0.461907i 0.00598982 + 0.0152618i
\(917\) −46.1074 7.77731i −1.52260 0.256830i
\(918\) 15.2971 + 12.2294i 0.504879 + 0.403630i
\(919\) −7.12532 2.19787i −0.235042 0.0725010i 0.174996 0.984569i \(-0.444009\pi\)
−0.410039 + 0.912068i \(0.634485\pi\)
\(920\) 40.4244 + 50.6906i 1.33275 + 1.67122i
\(921\) −2.38197 + 11.7585i −0.0784887 + 0.387454i
\(922\) 6.98341 8.75692i 0.229986 0.288394i
\(923\) 1.25261 + 0.854016i 0.0412302 + 0.0281103i
\(924\) −4.34037 + 5.52177i −0.142788 + 0.181653i
\(925\) −34.6895 + 23.6509i −1.14058 + 0.777636i
\(926\) 1.05314 14.0532i 0.0346084 0.461817i
\(927\) −12.8315 45.7477i −0.421442 1.50255i
\(928\) 5.52262 + 3.76526i 0.181289 + 0.123601i
\(929\) 19.9705 50.8841i 0.655212 1.66945i −0.0844108 0.996431i \(-0.526901\pi\)
0.739623 0.673022i \(-0.235004\pi\)
\(930\) 1.57069 + 6.17893i 0.0515049 + 0.202615i
\(931\) 2.21397 + 55.6135i 0.0725599 + 1.82266i
\(932\) 1.61421 + 2.79589i 0.0528752 + 0.0915825i
\(933\) 7.47118 + 17.7438i 0.244595 + 0.580905i
\(934\) 3.29187 1.58528i 0.107713 0.0518719i
\(935\) −28.6144 + 8.82638i −0.935792 + 0.288654i
\(936\) 36.6191 + 3.69421i 1.19693 + 0.120749i
\(937\) −20.7368 9.98632i −0.677442 0.326239i 0.0633325 0.997992i \(-0.479827\pi\)
−0.740775 + 0.671754i \(0.765541\pi\)
\(938\) 27.9001 + 19.7461i 0.910970 + 0.644733i
\(939\) 3.94676 10.8300i 0.128798 0.353424i
\(940\) 2.23510 2.80273i 0.0729009 0.0914149i
\(941\) 9.57334 6.52699i 0.312082 0.212774i −0.397142 0.917757i \(-0.629998\pi\)
0.709224 + 0.704983i \(0.249046\pi\)
\(942\) 16.2081 21.3796i 0.528087 0.696586i
\(943\) 32.4208 30.0821i 1.05577 0.979607i
\(944\) 15.7697 + 19.7746i 0.513261 + 0.643608i
\(945\) 13.2243 40.1856i 0.430186 1.30724i
\(946\) −24.8818 + 31.2008i −0.808979 + 1.01443i
\(947\) 1.20150 + 16.0329i 0.0390434 + 0.520999i 0.982099 + 0.188364i \(0.0603185\pi\)
−0.943056 + 0.332635i \(0.892062\pi\)
\(948\) 11.2404 5.75687i 0.365071 0.186975i
\(949\) 10.0411 17.3918i 0.325949 0.564560i
\(950\) 43.7890 1.42070
\(951\) −5.21678 3.37235i −0.169166 0.109356i
\(952\) −2.28117 + 24.6431i −0.0739331 + 0.798686i
\(953\) 3.18847 13.9696i 0.103285 0.452520i −0.896667 0.442705i \(-0.854019\pi\)
0.999952 0.00981458i \(-0.00312413\pi\)
\(954\) −23.8833 6.10201i −0.773251 0.197560i
\(955\) 33.6906 + 5.07804i 1.09020 + 0.164322i
\(956\) 6.19271 7.76541i 0.200287 0.251151i
\(957\) 6.62518 12.1542i 0.214162 0.392888i
\(958\) −0.177594 + 0.0547804i −0.00573779 + 0.00176987i
\(959\) 2.19492 + 0.370234i 0.0708775 + 0.0119555i
\(960\) 42.1592 21.5922i 1.36068 0.696886i
\(961\) 15.0288 + 26.0307i 0.484800 + 0.839698i
\(962\) 23.2173 + 40.2135i 0.748555 + 1.29654i
\(963\) 13.5690 2.73161i 0.437254 0.0880248i
\(964\) −6.04941 + 4.12442i −0.194838 + 0.132839i
\(965\) −2.90639 7.40535i −0.0935599 0.238387i
\(966\) −14.4672 36.1139i −0.465474 1.16195i
\(967\) −12.2656 + 31.2522i −0.394435 + 1.00500i 0.586376 + 0.810039i \(0.300554\pi\)
−0.980810 + 0.194964i \(0.937541\pi\)
\(968\) −0.598898 2.62394i −0.0192493 0.0843367i
\(969\) −25.4497 + 33.5701i −0.817562 + 1.07843i
\(970\) 34.5188 + 16.6234i 1.10833 + 0.533745i
\(971\) 21.6450 + 55.1506i 0.694622 + 1.76987i 0.636132 + 0.771581i \(0.280534\pi\)
0.0584906 + 0.998288i \(0.481371\pi\)
\(972\) 2.93124 6.91463i 0.0940197 0.221787i
\(973\) −8.92759 2.92590i −0.286205 0.0937999i
\(974\) −37.9304 + 25.8605i −1.21537 + 0.828625i
\(975\) 10.6346 29.1816i 0.340579 0.934558i
\(976\) 19.1699 + 17.7871i 0.613614 + 0.569350i
\(977\) −0.0858119 + 1.14508i −0.00274537 + 0.0366344i −0.998408 0.0564003i \(-0.982038\pi\)
0.995663 + 0.0930347i \(0.0296567\pi\)
\(978\) −5.07494 + 6.69422i −0.162279 + 0.214058i
\(979\) 3.18727 5.52051i 0.101865 0.176436i
\(980\) 10.0180 2.70999i 0.320014 0.0865675i
\(981\) −5.62573 3.44407i −0.179616 0.109961i
\(982\) −25.5796 + 3.85550i −0.816278 + 0.123034i
\(983\) 51.4967 24.7995i 1.64249 0.790981i 0.642800 0.766034i \(-0.277772\pi\)
0.999689 0.0249475i \(-0.00794186\pi\)
\(984\) −17.7164 29.0180i −0.564778 0.925059i
\(985\) 23.0353 11.0932i 0.733965 0.353459i
\(986\) −0.707618 9.44250i −0.0225351 0.300710i
\(987\) −9.11104 + 6.30599i −0.290007 + 0.200722i
\(988\) −1.14850 + 15.3256i −0.0365385 + 0.487573i
\(989\) 25.6280 + 65.2991i 0.814923 + 2.07639i
\(990\) −19.6080 30.4131i −0.623184 0.966593i
\(991\) 6.16283 15.7026i 0.195769 0.498811i −0.798956 0.601389i \(-0.794614\pi\)
0.994725 + 0.102579i \(0.0327093\pi\)
\(992\) −1.89331 + 1.75673i −0.0601127 + 0.0557764i
\(993\) 7.26279 + 0.913130i 0.230478 + 0.0289773i
\(994\) −1.17062 0.383656i −0.0371299 0.0121688i
\(995\) −35.7295 5.38535i −1.13270 0.170727i
\(996\) −3.95436 + 1.32682i −0.125299 + 0.0420417i
\(997\) −3.59200 15.7376i −0.113760 0.498415i −0.999419 0.0340789i \(-0.989150\pi\)
0.885659 0.464336i \(-0.153707\pi\)
\(998\) −12.3740 21.4324i −0.391692 0.678430i
\(999\) 47.5987 10.8033i 1.50595 0.341803i
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 441.2.z.a.142.37 yes 648
9.4 even 3 441.2.y.a.436.37 yes 648
49.39 even 21 441.2.y.a.88.37 648
441.382 even 21 inner 441.2.z.a.382.37 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.88.37 648 49.39 even 21
441.2.y.a.436.37 yes 648 9.4 even 3
441.2.z.a.142.37 yes 648 1.1 even 1 trivial
441.2.z.a.382.37 yes 648 441.382 even 21 inner