Properties

Label 403.2.cc.a.24.14
Level $403$
Weight $2$
Character 403.24
Analytic conductor $3.218$
Analytic rank $0$
Dimension $560$
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] = [403,2,Mod(24,403)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(403, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([35, 26]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("403.24");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.cc (of order \(60\), degree \(16\), 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: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(560\)
Relative dimension: \(35\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 24.14
Character \(\chi\) \(=\) 403.24
Dual form 403.2.cc.a.84.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.690768 + 0.0362016i) q^{2} +(0.0986013 - 0.0887810i) q^{3} +(-1.51319 + 0.159043i) q^{4} +(3.88062 - 1.03981i) q^{5} +(-0.0648966 + 0.0648966i) q^{6} +(-0.213808 + 1.34993i) q^{7} +(2.40591 - 0.381058i) q^{8} +(-0.311745 + 2.96606i) q^{9} +O(q^{10})\) \(q+(-0.690768 + 0.0362016i) q^{2} +(0.0986013 - 0.0887810i) q^{3} +(-1.51319 + 0.159043i) q^{4} +(3.88062 - 1.03981i) q^{5} +(-0.0648966 + 0.0648966i) q^{6} +(-0.213808 + 1.34993i) q^{7} +(2.40591 - 0.381058i) q^{8} +(-0.311745 + 2.96606i) q^{9} +(-2.64297 + 0.858752i) q^{10} +(-3.10197 - 0.491304i) q^{11} +(-0.135083 + 0.150025i) q^{12} +(3.36759 + 1.28815i) q^{13} +(0.0988219 - 0.940228i) q^{14} +(0.290319 - 0.447052i) q^{15} +(1.32843 - 0.282367i) q^{16} +(-0.437926 - 0.318172i) q^{17} +(0.107968 - 2.06014i) q^{18} +(2.26286 - 4.44112i) q^{19} +(-5.70676 + 2.19062i) q^{20} +(0.0987663 + 0.152087i) q^{21} +(2.16053 + 0.227081i) q^{22} +(-0.253728 + 2.41406i) q^{23} +(0.203395 - 0.251172i) q^{24} +(9.64789 - 5.57021i) q^{25} +(-2.37286 - 0.767901i) q^{26} +(0.466555 + 0.642158i) q^{27} +(0.108836 - 2.07671i) q^{28} +(6.70840 + 6.04027i) q^{29} +(-0.184359 + 0.319319i) q^{30} +(3.68592 + 4.17301i) q^{31} +(-5.61321 + 1.50405i) q^{32} +(-0.349477 + 0.226953i) q^{33} +(0.314023 + 0.203929i) q^{34} +(0.573962 + 5.46088i) q^{35} -4.53780i q^{36} +(-1.57986 + 0.423323i) q^{37} +(-1.40234 + 3.14970i) q^{38} +(0.446412 - 0.171965i) q^{39} +(8.94019 - 3.98043i) q^{40} +(2.72535 - 5.34879i) q^{41} +(-0.0737304 - 0.101481i) q^{42} +(2.28334 + 7.02741i) q^{43} +(4.77202 + 0.250091i) q^{44} +(1.87437 + 11.8343i) q^{45} +(0.0878743 - 1.67674i) q^{46} +(-0.961165 - 1.88639i) q^{47} +(0.105916 - 0.145781i) q^{48} +(4.88080 + 1.58587i) q^{49} +(-6.46281 + 4.19699i) q^{50} +(-0.0714276 + 0.00750735i) q^{51} +(-5.30069 - 1.41363i) q^{52} +(-3.87605 - 8.70575i) q^{53} +(-0.345529 - 0.426692i) q^{54} +(-12.5484 + 1.31889i) q^{55} +3.32928i q^{56} +(-0.171166 - 0.638799i) q^{57} +(-4.85261 - 3.92957i) q^{58} +(-5.53340 - 10.8599i) q^{59} +(-0.368208 + 0.722650i) q^{60} +(-5.03517 - 2.90706i) q^{61} +(-2.69718 - 2.74914i) q^{62} +(-3.93731 - 1.05500i) q^{63} +(1.23970 - 0.402803i) q^{64} +(14.4078 + 1.49717i) q^{65} +(0.233191 - 0.169423i) q^{66} +(-9.14951 - 9.14951i) q^{67} +(0.713269 + 0.411806i) q^{68} +(0.189305 + 0.260556i) q^{69} +(-0.594167 - 3.75142i) q^{70} +(-3.87700 + 3.13953i) q^{71} +(0.380211 + 7.25486i) q^{72} +(-3.31106 + 4.08881i) q^{73} +(1.07599 - 0.349612i) q^{74} +(0.456766 - 1.40578i) q^{75} +(-2.71782 + 7.08017i) q^{76} +(1.32645 - 4.08240i) q^{77} +(-0.302142 + 0.134949i) q^{78} +(-0.974174 - 0.102390i) q^{79} +(4.86153 - 2.47707i) q^{80} +(-8.64866 - 1.83833i) q^{81} +(-1.68895 + 3.79344i) q^{82} +(9.91104 - 6.43631i) q^{83} +(-0.173641 - 0.214429i) q^{84} +(-2.03026 - 0.779344i) q^{85} +(-1.83166 - 4.77165i) q^{86} +1.19772 q^{87} -7.65027 q^{88} +(5.75979 + 15.0048i) q^{89} +(-1.72318 - 8.10690i) q^{90} +(-2.45893 + 4.27059i) q^{91} -3.69330i q^{92} +(0.733920 + 0.0842244i) q^{93} +(0.732233 + 1.26826i) q^{94} +(4.16340 - 19.5872i) q^{95} +(-0.419938 + 0.646648i) q^{96} +(2.77783 - 3.43033i) q^{97} +(-3.42891 - 0.918774i) q^{98} +(2.42426 - 9.04747i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 560 q - 12 q^{2} - 4 q^{3} - 18 q^{4} - 8 q^{5} - 42 q^{6} - 8 q^{7} - 40 q^{8} - 72 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 560 q - 12 q^{2} - 4 q^{3} - 18 q^{4} - 8 q^{5} - 42 q^{6} - 8 q^{7} - 40 q^{8} - 72 q^{9} - 30 q^{10} - 18 q^{11} + 26 q^{12} - 24 q^{13} + 4 q^{14} - 62 q^{15} - 58 q^{16} - 30 q^{17} - 70 q^{18} - 24 q^{19} - 8 q^{20} + 114 q^{21} + 78 q^{22} - 30 q^{23} - 82 q^{24} - 24 q^{26} - 100 q^{27} - 62 q^{28} - 10 q^{29} - 4 q^{31} + 20 q^{32} - 110 q^{33} + 70 q^{34} - 2 q^{35} - 40 q^{37} - 108 q^{38} + 48 q^{39} - 28 q^{40} - 22 q^{41} - 10 q^{42} + 78 q^{43} - 24 q^{44} + 36 q^{45} + 44 q^{46} - 32 q^{47} - 10 q^{48} - 30 q^{49} - 30 q^{50} + 36 q^{51} - 252 q^{52} - 84 q^{53} + 82 q^{54} - 4 q^{55} + 164 q^{57} + 28 q^{58} - 2 q^{59} - 8 q^{60} + 36 q^{61} - 12 q^{62} + 78 q^{63} + 270 q^{64} - 72 q^{65} - 56 q^{66} - 46 q^{67} - 12 q^{68} + 150 q^{69} + 90 q^{70} - 74 q^{71} + 72 q^{72} + 30 q^{73} - 10 q^{74} - 16 q^{75} - 228 q^{76} + 72 q^{77} + 96 q^{78} - 32 q^{79} + 108 q^{80} - 104 q^{81} - 84 q^{82} + 4 q^{83} + 26 q^{84} + 12 q^{85} + 34 q^{86} + 112 q^{87} - 108 q^{88} - 154 q^{89} - 90 q^{90} - 4 q^{91} + 64 q^{93} - 24 q^{94} - 78 q^{95} - 4 q^{96} - 196 q^{97} + 50 q^{98} + 96 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{13}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.690768 + 0.0362016i −0.488447 + 0.0255984i −0.294970 0.955506i \(-0.595310\pi\)
−0.193477 + 0.981105i \(0.561976\pi\)
\(3\) 0.0986013 0.0887810i 0.0569275 0.0512577i −0.640176 0.768228i \(-0.721139\pi\)
0.697103 + 0.716971i \(0.254472\pi\)
\(4\) −1.51319 + 0.159043i −0.756597 + 0.0795215i
\(5\) 3.88062 1.03981i 1.73547 0.465017i 0.754036 0.656833i \(-0.228104\pi\)
0.981431 + 0.191816i \(0.0614378\pi\)
\(6\) −0.0648966 + 0.0648966i −0.0264939 + 0.0264939i
\(7\) −0.213808 + 1.34993i −0.0808117 + 0.510225i 0.913767 + 0.406239i \(0.133160\pi\)
−0.994579 + 0.103986i \(0.966840\pi\)
\(8\) 2.40591 0.381058i 0.850617 0.134724i
\(9\) −0.311745 + 2.96606i −0.103915 + 0.988686i
\(10\) −2.64297 + 0.858752i −0.835779 + 0.271561i
\(11\) −3.10197 0.491304i −0.935280 0.148134i −0.329851 0.944033i \(-0.606998\pi\)
−0.605429 + 0.795899i \(0.706998\pi\)
\(12\) −0.135083 + 0.150025i −0.0389951 + 0.0433084i
\(13\) 3.36759 + 1.28815i 0.934002 + 0.357269i
\(14\) 0.0988219 0.940228i 0.0264113 0.251286i
\(15\) 0.290319 0.447052i 0.0749600 0.115428i
\(16\) 1.32843 0.282367i 0.332108 0.0705917i
\(17\) −0.437926 0.318172i −0.106213 0.0771680i 0.533411 0.845856i \(-0.320910\pi\)
−0.639624 + 0.768688i \(0.720910\pi\)
\(18\) 0.107968 2.06014i 0.0254482 0.485580i
\(19\) 2.26286 4.44112i 0.519136 1.01886i −0.471440 0.881898i \(-0.656265\pi\)
0.990576 0.136964i \(-0.0437345\pi\)
\(20\) −5.70676 + 2.19062i −1.27607 + 0.489837i
\(21\) 0.0987663 + 0.152087i 0.0215526 + 0.0331881i
\(22\) 2.16053 + 0.227081i 0.460626 + 0.0484138i
\(23\) −0.253728 + 2.41406i −0.0529060 + 0.503367i 0.935695 + 0.352809i \(0.114774\pi\)
−0.988601 + 0.150558i \(0.951893\pi\)
\(24\) 0.203395 0.251172i 0.0415178 0.0512702i
\(25\) 9.64789 5.57021i 1.92958 1.11404i
\(26\) −2.37286 0.767901i −0.465356 0.150598i
\(27\) 0.466555 + 0.642158i 0.0897886 + 0.123583i
\(28\) 0.108836 2.07671i 0.0205680 0.392461i
\(29\) 6.70840 + 6.04027i 1.24572 + 1.12165i 0.987840 + 0.155472i \(0.0496899\pi\)
0.257878 + 0.966177i \(0.416977\pi\)
\(30\) −0.184359 + 0.319319i −0.0336592 + 0.0582995i
\(31\) 3.68592 + 4.17301i 0.662011 + 0.749494i
\(32\) −5.61321 + 1.50405i −0.992284 + 0.265882i
\(33\) −0.349477 + 0.226953i −0.0608361 + 0.0395074i
\(34\) 0.314023 + 0.203929i 0.0538546 + 0.0349736i
\(35\) 0.573962 + 5.46088i 0.0970172 + 0.923057i
\(36\) 4.53780i 0.756300i
\(37\) −1.57986 + 0.423323i −0.259728 + 0.0695939i −0.386333 0.922359i \(-0.626259\pi\)
0.126605 + 0.991953i \(0.459592\pi\)
\(38\) −1.40234 + 3.14970i −0.227489 + 0.510949i
\(39\) 0.446412 0.171965i 0.0714832 0.0275364i
\(40\) 8.94019 3.98043i 1.41357 0.629361i
\(41\) 2.72535 5.34879i 0.425628 0.835341i −0.574234 0.818691i \(-0.694700\pi\)
0.999861 0.0166500i \(-0.00530009\pi\)
\(42\) −0.0737304 0.101481i −0.0113768 0.0156589i
\(43\) 2.28334 + 7.02741i 0.348206 + 1.07167i 0.959845 + 0.280532i \(0.0905108\pi\)
−0.611638 + 0.791138i \(0.709489\pi\)
\(44\) 4.77202 + 0.250091i 0.719410 + 0.0377027i
\(45\) 1.87437 + 11.8343i 0.279415 + 1.76415i
\(46\) 0.0878743 1.67674i 0.0129564 0.247222i
\(47\) −0.961165 1.88639i −0.140200 0.275159i 0.810221 0.586125i \(-0.199347\pi\)
−0.950421 + 0.310966i \(0.899347\pi\)
\(48\) 0.105916 0.145781i 0.0152877 0.0210417i
\(49\) 4.88080 + 1.58587i 0.697257 + 0.226553i
\(50\) −6.46281 + 4.19699i −0.913979 + 0.593545i
\(51\) −0.0714276 + 0.00750735i −0.0100019 + 0.00105124i
\(52\) −5.30069 1.41363i −0.735073 0.196035i
\(53\) −3.87605 8.70575i −0.532416 1.19583i −0.956907 0.290394i \(-0.906214\pi\)
0.424491 0.905432i \(-0.360453\pi\)
\(54\) −0.345529 0.426692i −0.0470205 0.0580655i
\(55\) −12.5484 + 1.31889i −1.69203 + 0.177840i
\(56\) 3.32928i 0.444893i
\(57\) −0.171166 0.638799i −0.0226715 0.0846110i
\(58\) −4.85261 3.92957i −0.637179 0.515978i
\(59\) −5.53340 10.8599i −0.720388 1.41384i −0.902556 0.430573i \(-0.858311\pi\)
0.182168 0.983267i \(-0.441689\pi\)
\(60\) −0.368208 + 0.722650i −0.0475355 + 0.0932937i
\(61\) −5.03517 2.90706i −0.644687 0.372210i 0.141730 0.989905i \(-0.454733\pi\)
−0.786418 + 0.617695i \(0.788067\pi\)
\(62\) −2.69718 2.74914i −0.342543 0.349142i
\(63\) −3.93731 1.05500i −0.496055 0.132917i
\(64\) 1.23970 0.402803i 0.154962 0.0503503i
\(65\) 14.4078 + 1.49717i 1.78706 + 0.185701i
\(66\) 0.233191 0.169423i 0.0287039 0.0208546i
\(67\) −9.14951 9.14951i −1.11779 1.11779i −0.992065 0.125725i \(-0.959874\pi\)
−0.125725 0.992065i \(-0.540126\pi\)
\(68\) 0.713269 + 0.411806i 0.0864966 + 0.0499389i
\(69\) 0.189305 + 0.260556i 0.0227896 + 0.0313672i
\(70\) −0.594167 3.75142i −0.0710166 0.448381i
\(71\) −3.87700 + 3.13953i −0.460115 + 0.372594i −0.831171 0.556017i \(-0.812329\pi\)
0.371056 + 0.928610i \(0.378996\pi\)
\(72\) 0.380211 + 7.25486i 0.0448083 + 0.854993i
\(73\) −3.31106 + 4.08881i −0.387530 + 0.478560i −0.933157 0.359468i \(-0.882958\pi\)
0.545627 + 0.838028i \(0.316291\pi\)
\(74\) 1.07599 0.349612i 0.125082 0.0406415i
\(75\) 0.456766 1.40578i 0.0527428 0.162325i
\(76\) −2.71782 + 7.08017i −0.311756 + 0.812151i
\(77\) 1.32645 4.08240i 0.151163 0.465232i
\(78\) −0.302142 + 0.134949i −0.0342108 + 0.0152799i
\(79\) −0.974174 0.102390i −0.109603 0.0115198i 0.0495681 0.998771i \(-0.484216\pi\)
−0.159171 + 0.987251i \(0.550882\pi\)
\(80\) 4.86153 2.47707i 0.543536 0.276945i
\(81\) −8.64866 1.83833i −0.960962 0.204259i
\(82\) −1.68895 + 3.79344i −0.186513 + 0.418915i
\(83\) 9.91104 6.43631i 1.08788 0.706476i 0.129386 0.991594i \(-0.458699\pi\)
0.958492 + 0.285118i \(0.0920327\pi\)
\(84\) −0.173641 0.214429i −0.0189458 0.0233961i
\(85\) −2.03026 0.779344i −0.220213 0.0845318i
\(86\) −1.83166 4.77165i −0.197513 0.514540i
\(87\) 1.19772 0.128409
\(88\) −7.65027 −0.815522
\(89\) 5.75979 + 15.0048i 0.610536 + 1.59050i 0.794297 + 0.607530i \(0.207839\pi\)
−0.183761 + 0.982971i \(0.558827\pi\)
\(90\) −1.72318 8.10690i −0.181639 0.854543i
\(91\) −2.45893 + 4.27059i −0.257766 + 0.447680i
\(92\) 3.69330i 0.385053i
\(93\) 0.733920 + 0.0842244i 0.0761040 + 0.00873366i
\(94\) 0.732233 + 1.26826i 0.0755240 + 0.130811i
\(95\) 4.16340 19.5872i 0.427156 2.00961i
\(96\) −0.419938 + 0.646648i −0.0428598 + 0.0659982i
\(97\) 2.77783 3.43033i 0.282046 0.348297i −0.616360 0.787465i \(-0.711393\pi\)
0.898405 + 0.439168i \(0.144727\pi\)
\(98\) −3.42891 0.918774i −0.346373 0.0928102i
\(99\) 2.42426 9.04747i 0.243647 0.909305i
\(100\) −13.7132 + 9.96324i −1.37132 + 0.996324i
\(101\) −12.7364 1.33865i −1.26732 0.133200i −0.553094 0.833119i \(-0.686553\pi\)
−0.714223 + 0.699919i \(0.753220\pi\)
\(102\) 0.0490681 0.00777163i 0.00485847 0.000769506i
\(103\) −2.18017 + 10.2569i −0.214819 + 1.01064i 0.730100 + 0.683340i \(0.239473\pi\)
−0.944919 + 0.327304i \(0.893860\pi\)
\(104\) 8.59297 + 1.81592i 0.842610 + 0.178066i
\(105\) 0.541416 + 0.487493i 0.0528368 + 0.0475745i
\(106\) 2.99261 + 5.87333i 0.290668 + 0.570468i
\(107\) −3.81316 + 1.69773i −0.368632 + 0.164126i −0.582688 0.812696i \(-0.697999\pi\)
0.214056 + 0.976821i \(0.431332\pi\)
\(108\) −0.808119 0.897507i −0.0777613 0.0863627i
\(109\) −9.11461 + 4.64413i −0.873021 + 0.444827i −0.832288 0.554343i \(-0.812969\pi\)
−0.0407333 + 0.999170i \(0.512969\pi\)
\(110\) 8.62032 1.36532i 0.821915 0.130179i
\(111\) −0.118194 + 0.182002i −0.0112184 + 0.0172749i
\(112\) 0.0971461 + 1.85366i 0.00917945 + 0.175154i
\(113\) −9.68309 4.31119i −0.910909 0.405563i −0.102872 0.994695i \(-0.532803\pi\)
−0.808037 + 0.589132i \(0.799470\pi\)
\(114\) 0.141361 + 0.435066i 0.0132397 + 0.0407476i
\(115\) 1.52554 + 9.63189i 0.142257 + 0.898178i
\(116\) −11.1118 8.07317i −1.03170 0.749575i
\(117\) −4.87056 + 9.58689i −0.450283 + 0.886309i
\(118\) 4.21544 + 7.30136i 0.388063 + 0.672145i
\(119\) 0.523141 0.523141i 0.0479562 0.0479562i
\(120\) 0.528128 1.18619i 0.0482113 0.108284i
\(121\) −1.08077 0.351164i −0.0982519 0.0319240i
\(122\) 3.58337 + 1.82582i 0.324423 + 0.165302i
\(123\) −0.206149 0.769357i −0.0185878 0.0693706i
\(124\) −6.24120 5.72835i −0.560476 0.514421i
\(125\) 17.4438 17.4438i 1.56022 1.56022i
\(126\) 2.75796 + 0.586223i 0.245699 + 0.0522249i
\(127\) 0.390932 + 0.434174i 0.0346896 + 0.0385267i 0.760240 0.649642i \(-0.225081\pi\)
−0.725550 + 0.688169i \(0.758415\pi\)
\(128\) 10.0087 3.84199i 0.884654 0.339587i
\(129\) 0.849041 + 0.490194i 0.0747539 + 0.0431592i
\(130\) −10.0066 0.512614i −0.877640 0.0449592i
\(131\) −16.7977 7.47881i −1.46762 0.653426i −0.491543 0.870853i \(-0.663567\pi\)
−0.976077 + 0.217427i \(0.930234\pi\)
\(132\) 0.492731 0.399006i 0.0428867 0.0347290i
\(133\) 5.51138 + 4.00425i 0.477897 + 0.347212i
\(134\) 6.65141 + 5.98896i 0.574595 + 0.517367i
\(135\) 2.47825 + 2.00684i 0.213293 + 0.172722i
\(136\) −1.17485 0.598616i −0.100743 0.0513309i
\(137\) 14.1752 + 9.20550i 1.21107 + 0.786479i 0.982357 0.187014i \(-0.0598810\pi\)
0.228715 + 0.973493i \(0.426548\pi\)
\(138\) −0.140198 0.173131i −0.0119345 0.0147378i
\(139\) −0.576547 + 0.519125i −0.0489021 + 0.0440316i −0.693219 0.720727i \(-0.743808\pi\)
0.644317 + 0.764758i \(0.277142\pi\)
\(140\) −1.73703 8.17209i −0.146806 0.690667i
\(141\) −0.262248 0.100668i −0.0220853 0.00847774i
\(142\) 2.56445 2.30904i 0.215204 0.193771i
\(143\) −9.81330 5.65032i −0.820629 0.472503i
\(144\) 0.423384 + 4.02823i 0.0352820 + 0.335686i
\(145\) 32.3135 + 16.4645i 2.68349 + 1.36731i
\(146\) 2.13915 2.94429i 0.177037 0.243671i
\(147\) 0.622048 0.276954i 0.0513057 0.0228428i
\(148\) 2.32331 0.891836i 0.190975 0.0733085i
\(149\) −11.1732 11.1732i −0.915347 0.915347i 0.0813391 0.996686i \(-0.474080\pi\)
−0.996686 + 0.0813391i \(0.974080\pi\)
\(150\) −0.264628 + 0.987604i −0.0216068 + 0.0806375i
\(151\) −20.8192 3.29743i −1.69424 0.268341i −0.766684 0.642024i \(-0.778095\pi\)
−0.927556 + 0.373683i \(0.878095\pi\)
\(152\) 3.75191 11.5472i 0.304320 0.936602i
\(153\) 1.08024 1.19972i 0.0873320 0.0969920i
\(154\) −0.768480 + 2.86801i −0.0619259 + 0.231111i
\(155\) 18.6428 + 12.3612i 1.49743 + 0.992877i
\(156\) −0.648158 + 0.331215i −0.0518942 + 0.0265184i
\(157\) −0.775826 2.38775i −0.0619177 0.190563i 0.915313 0.402744i \(-0.131943\pi\)
−0.977230 + 0.212181i \(0.931943\pi\)
\(158\) 0.676635 + 0.0354609i 0.0538302 + 0.00282112i
\(159\) −1.15509 0.514278i −0.0916045 0.0407849i
\(160\) −20.2188 + 11.6733i −1.59844 + 0.922858i
\(161\) −3.20456 0.858660i −0.252555 0.0676719i
\(162\) 6.04076 + 0.956763i 0.474607 + 0.0751704i
\(163\) 5.63803 14.6876i 0.441604 1.15042i −0.514525 0.857475i \(-0.672032\pi\)
0.956130 0.292944i \(-0.0946349\pi\)
\(164\) −3.27329 + 8.52721i −0.255601 + 0.665863i
\(165\) −1.12020 + 1.24411i −0.0872074 + 0.0968537i
\(166\) −6.61323 + 4.80479i −0.513286 + 0.372924i
\(167\) 5.45812 + 8.40476i 0.422362 + 0.650380i 0.984240 0.176840i \(-0.0565875\pi\)
−0.561878 + 0.827220i \(0.689921\pi\)
\(168\) 0.295577 + 0.328271i 0.0228042 + 0.0253267i
\(169\) 9.68134 + 8.67593i 0.744718 + 0.667379i
\(170\) 1.43065 + 0.464847i 0.109726 + 0.0356522i
\(171\) 12.4672 + 8.09628i 0.953389 + 0.619138i
\(172\) −4.57280 10.2707i −0.348673 0.783132i
\(173\) 0.00351983 + 0.0165595i 0.000267608 + 0.00125900i 0.978281 0.207282i \(-0.0664618\pi\)
−0.978014 + 0.208541i \(0.933128\pi\)
\(174\) −0.827345 + 0.0433593i −0.0627209 + 0.00328706i
\(175\) 5.45660 + 14.2149i 0.412480 + 1.07455i
\(176\) −4.25948 + 0.223230i −0.321071 + 0.0168266i
\(177\) −1.50976 0.579541i −0.113480 0.0435609i
\(178\) −4.52187 10.1563i −0.338929 0.761246i
\(179\) −2.20466 20.9760i −0.164784 1.56782i −0.694406 0.719583i \(-0.744333\pi\)
0.529622 0.848234i \(-0.322334\pi\)
\(180\) −4.71845 17.6095i −0.351692 1.31253i
\(181\) −0.467612 + 0.809928i −0.0347573 + 0.0602015i −0.882881 0.469597i \(-0.844399\pi\)
0.848123 + 0.529799i \(0.177732\pi\)
\(182\) 1.54395 3.03900i 0.114445 0.225266i
\(183\) −0.754566 + 0.160388i −0.0557791 + 0.0118562i
\(184\) 0.309452 + 5.90470i 0.0228131 + 0.435300i
\(185\) −5.69068 + 3.28551i −0.418387 + 0.241556i
\(186\) −0.510018 0.0316104i −0.0373963 0.00231779i
\(187\) 1.20211 + 1.20211i 0.0879073 + 0.0879073i
\(188\) 1.75445 + 2.70161i 0.127956 + 0.197035i
\(189\) −0.966621 + 0.492518i −0.0703113 + 0.0358254i
\(190\) −2.16685 + 13.6810i −0.157200 + 0.992522i
\(191\) 4.23132 + 7.32887i 0.306168 + 0.530298i 0.977521 0.210840i \(-0.0676198\pi\)
−0.671353 + 0.741138i \(0.734286\pi\)
\(192\) 0.0864747 0.149779i 0.00624078 0.0108093i
\(193\) 0.926422 + 0.750202i 0.0666853 + 0.0540007i 0.662084 0.749430i \(-0.269672\pi\)
−0.595398 + 0.803431i \(0.703006\pi\)
\(194\) −1.79465 + 2.47012i −0.128848 + 0.177345i
\(195\) 1.55355 1.13151i 0.111252 0.0810294i
\(196\) −7.63782 1.62347i −0.545559 0.115962i
\(197\) 4.12662 26.0544i 0.294009 1.85630i −0.190729 0.981643i \(-0.561085\pi\)
0.484738 0.874659i \(-0.338915\pi\)
\(198\) −1.34707 + 6.33746i −0.0957320 + 0.450384i
\(199\) 10.2358 2.17569i 0.725599 0.154231i 0.169718 0.985493i \(-0.445714\pi\)
0.555881 + 0.831262i \(0.312381\pi\)
\(200\) 21.0894 17.0778i 1.49124 1.20759i
\(201\) −1.71446 0.0898508i −0.120928 0.00633759i
\(202\) 8.84634 + 0.463617i 0.622426 + 0.0326200i
\(203\) −9.58824 + 7.76440i −0.672962 + 0.544954i
\(204\) 0.106890 0.0227201i 0.00748379 0.00159073i
\(205\) 5.01431 23.5905i 0.350215 1.64763i
\(206\) 1.13468 7.16407i 0.0790567 0.499145i
\(207\) −7.08115 1.50514i −0.492174 0.104615i
\(208\) 4.83734 + 0.760324i 0.335409 + 0.0527190i
\(209\) −9.20128 + 12.6645i −0.636466 + 0.876020i
\(210\) −0.391641 0.317144i −0.0270258 0.0218850i
\(211\) −8.72505 + 15.1122i −0.600657 + 1.04037i 0.392064 + 0.919938i \(0.371761\pi\)
−0.992722 + 0.120431i \(0.961572\pi\)
\(212\) 7.24980 + 12.5570i 0.497918 + 0.862420i
\(213\) −0.103546 + 0.653766i −0.00709488 + 0.0447953i
\(214\) 2.57255 1.31078i 0.175856 0.0896030i
\(215\) 16.1680 + 24.8965i 1.10265 + 1.69792i
\(216\) 1.36719 + 1.36719i 0.0930254 + 0.0930254i
\(217\) −6.42134 + 4.08351i −0.435909 + 0.277206i
\(218\) 6.12796 3.53798i 0.415038 0.239622i
\(219\) 0.0365346 + 0.697121i 0.00246878 + 0.0471071i
\(220\) 18.7785 3.99149i 1.26604 0.269106i
\(221\) −1.06490 1.63559i −0.0716330 0.110021i
\(222\) 0.0750555 0.130000i 0.00503740 0.00872503i
\(223\) 6.61045 + 24.6705i 0.442669 + 1.65206i 0.722020 + 0.691872i \(0.243214\pi\)
−0.279351 + 0.960189i \(0.590119\pi\)
\(224\) −0.830219 7.89901i −0.0554714 0.527775i
\(225\) 13.5139 + 30.3527i 0.900926 + 2.02351i
\(226\) 6.84484 + 2.62749i 0.455312 + 0.174778i
\(227\) 12.8045 0.671054i 0.849863 0.0445394i 0.377570 0.925981i \(-0.376760\pi\)
0.472293 + 0.881442i \(0.343426\pi\)
\(228\) 0.360604 + 0.939405i 0.0238816 + 0.0622136i
\(229\) 3.65614 0.191610i 0.241605 0.0126620i 0.0688507 0.997627i \(-0.478067\pi\)
0.172754 + 0.984965i \(0.444733\pi\)
\(230\) −1.40249 6.59817i −0.0924771 0.435071i
\(231\) −0.231649 0.520293i −0.0152414 0.0342328i
\(232\) 18.4415 + 11.9760i 1.21074 + 0.786265i
\(233\) 3.97292 + 1.29088i 0.260275 + 0.0845684i 0.436248 0.899827i \(-0.356307\pi\)
−0.175973 + 0.984395i \(0.556307\pi\)
\(234\) 3.01737 6.79864i 0.197251 0.444441i
\(235\) −5.69141 6.32095i −0.371267 0.412333i
\(236\) 10.1003 + 15.5531i 0.657474 + 1.01242i
\(237\) −0.105145 + 0.0763924i −0.00682991 + 0.00496222i
\(238\) −0.342430 + 0.380307i −0.0221965 + 0.0246517i
\(239\) 8.67484 22.5987i 0.561129 1.46179i −0.300266 0.953855i \(-0.597076\pi\)
0.861395 0.507935i \(-0.169591\pi\)
\(240\) 0.259436 0.675854i 0.0167465 0.0436262i
\(241\) 2.30481 + 0.365046i 0.148466 + 0.0235147i 0.230225 0.973137i \(-0.426054\pi\)
−0.0817591 + 0.996652i \(0.526054\pi\)
\(242\) 0.759274 + 0.203447i 0.0488080 + 0.0130781i
\(243\) −3.07820 + 1.77720i −0.197467 + 0.114008i
\(244\) 8.08154 + 3.59813i 0.517367 + 0.230347i
\(245\) 20.5895 + 1.07905i 1.31542 + 0.0689381i
\(246\) 0.170253 + 0.523984i 0.0108549 + 0.0334080i
\(247\) 13.3412 12.0410i 0.848882 0.766148i
\(248\) 10.4581 + 8.63532i 0.664093 + 0.548344i
\(249\) 0.405820 1.51454i 0.0257178 0.0959801i
\(250\) −11.4181 + 12.6811i −0.722146 + 0.802024i
\(251\) −1.16509 + 3.58576i −0.0735395 + 0.226331i −0.981070 0.193656i \(-0.937965\pi\)
0.907530 + 0.419987i \(0.137965\pi\)
\(252\) 6.12571 + 0.970217i 0.385883 + 0.0611179i
\(253\) 1.97310 7.36370i 0.124047 0.462952i
\(254\) −0.285761 0.285761i −0.0179302 0.0179302i
\(255\) −0.269377 + 0.103404i −0.0168691 + 0.00647543i
\(256\) −9.15623 + 4.07661i −0.572264 + 0.254788i
\(257\) 9.10163 12.5273i 0.567744 0.781432i −0.424541 0.905409i \(-0.639565\pi\)
0.992285 + 0.123976i \(0.0395647\pi\)
\(258\) −0.604236 0.307874i −0.0376181 0.0191674i
\(259\) −0.233669 2.22321i −0.0145195 0.138144i
\(260\) −22.0399 + 0.0259447i −1.36686 + 0.00160902i
\(261\) −20.0071 + 18.0145i −1.23841 + 1.11507i
\(262\) 11.8740 + 4.55802i 0.733581 + 0.281595i
\(263\) −1.55123 7.29797i −0.0956530 0.450012i −0.999743 0.0226700i \(-0.992783\pi\)
0.904090 0.427342i \(-0.140550\pi\)
\(264\) −0.754327 + 0.679199i −0.0464256 + 0.0418018i
\(265\) −24.0938 29.7534i −1.48007 1.82773i
\(266\) −3.95204 2.56649i −0.242315 0.157361i
\(267\) 1.90006 + 0.968129i 0.116282 + 0.0592485i
\(268\) 15.3001 + 12.3898i 0.934605 + 0.756828i
\(269\) 5.84142 + 5.25964i 0.356158 + 0.320686i 0.827714 0.561150i \(-0.189641\pi\)
−0.471556 + 0.881836i \(0.656308\pi\)
\(270\) −1.78454 1.29655i −0.108604 0.0789053i
\(271\) 0.739829 0.599102i 0.0449414 0.0363928i −0.606587 0.795017i \(-0.707462\pi\)
0.651528 + 0.758625i \(0.274128\pi\)
\(272\) −0.671595 0.299013i −0.0407214 0.0181303i
\(273\) 0.136694 + 0.639392i 0.00827309 + 0.0386978i
\(274\) −10.1251 5.84570i −0.611677 0.353152i
\(275\) −32.6642 + 12.5386i −1.96972 + 0.756106i
\(276\) −0.327895 0.364164i −0.0197369 0.0219201i
\(277\) −18.7678 3.98922i −1.12765 0.239689i −0.393929 0.919141i \(-0.628884\pi\)
−0.733720 + 0.679452i \(0.762218\pi\)
\(278\) 0.379467 0.379467i 0.0227589 0.0227589i
\(279\) −13.5265 + 9.63173i −0.809807 + 0.576637i
\(280\) 3.46181 + 12.9197i 0.206883 + 0.772098i
\(281\) −2.90466 1.48000i −0.173277 0.0882893i 0.365200 0.930929i \(-0.381000\pi\)
−0.538478 + 0.842640i \(0.681000\pi\)
\(282\) 0.184797 + 0.0600441i 0.0110045 + 0.00357558i
\(283\) −2.08114 + 4.67432i −0.123711 + 0.277859i −0.964775 0.263076i \(-0.915263\pi\)
0.841064 + 0.540935i \(0.181930\pi\)
\(284\) 5.36733 5.36733i 0.318493 0.318493i
\(285\) −1.32846 2.30096i −0.0786911 0.136297i
\(286\) 6.98326 + 3.54780i 0.412929 + 0.209786i
\(287\) 6.63779 + 4.82264i 0.391816 + 0.284671i
\(288\) −2.71122 17.1180i −0.159760 1.00869i
\(289\) −5.16274 15.8893i −0.303691 0.934664i
\(290\) −22.9172 10.2034i −1.34574 0.599163i
\(291\) −0.0306509 0.584853i −0.00179679 0.0342847i
\(292\) 4.35997 6.71377i 0.255148 0.392894i
\(293\) −8.25531 + 1.30751i −0.482280 + 0.0763857i −0.392841 0.919607i \(-0.628508\pi\)
−0.0894396 + 0.995992i \(0.528508\pi\)
\(294\) −0.419665 + 0.213830i −0.0244754 + 0.0124708i
\(295\) −32.7653 36.3895i −1.90767 2.11868i
\(296\) −3.63970 + 1.62050i −0.211553 + 0.0941895i
\(297\) −1.13175 2.22118i −0.0656706 0.128886i
\(298\) 8.12261 + 7.31363i 0.470530 + 0.423667i
\(299\) −3.96413 + 7.80273i −0.229251 + 0.451244i
\(300\) −0.467595 + 2.19986i −0.0269966 + 0.127009i
\(301\) −9.97469 + 1.57984i −0.574932 + 0.0910602i
\(302\) 14.5006 + 1.52407i 0.834415 + 0.0877006i
\(303\) −1.37467 + 0.998756i −0.0789727 + 0.0573770i
\(304\) 1.75203 6.53868i 0.100486 0.375019i
\(305\) −22.5624 6.04557i −1.29192 0.346168i
\(306\) −0.702761 + 0.867838i −0.0401742 + 0.0496110i
\(307\) 6.36968 9.80845i 0.363537 0.559798i −0.608817 0.793311i \(-0.708355\pi\)
0.972354 + 0.233513i \(0.0750222\pi\)
\(308\) −1.35790 + 6.38842i −0.0773736 + 0.364014i
\(309\) 0.695651 + 1.20490i 0.0395742 + 0.0685445i
\(310\) −13.3253 7.86383i −0.756828 0.446636i
\(311\) 5.06099i 0.286982i −0.989652 0.143491i \(-0.954167\pi\)
0.989652 0.143491i \(-0.0458329\pi\)
\(312\) 1.00850 0.583840i 0.0570949 0.0330535i
\(313\) −1.81608 8.54400i −0.102651 0.482935i −0.999200 0.0399906i \(-0.987267\pi\)
0.896549 0.442945i \(-0.146066\pi\)
\(314\) 0.622356 + 1.62129i 0.0351216 + 0.0914949i
\(315\) −16.3762 −0.922695
\(316\) 1.49040 0.0838415
\(317\) 3.60000 + 9.37832i 0.202196 + 0.526739i 0.996759 0.0804425i \(-0.0256334\pi\)
−0.794563 + 0.607182i \(0.792300\pi\)
\(318\) 0.816516 + 0.313431i 0.0457879 + 0.0175763i
\(319\) −17.8417 22.0326i −0.998941 1.23359i
\(320\) 4.39197 2.85218i 0.245518 0.159442i
\(321\) −0.225257 + 0.505935i −0.0125726 + 0.0282385i
\(322\) 2.24469 + 0.477124i 0.125092 + 0.0265891i
\(323\) −2.40400 + 1.22490i −0.133762 + 0.0681553i
\(324\) 13.3795 + 1.40624i 0.743304 + 0.0781244i
\(325\) 39.6654 6.33026i 2.20024 0.351140i
\(326\) −3.36286 + 10.3498i −0.186251 + 0.573223i
\(327\) −0.486402 + 1.26712i −0.0268981 + 0.0700720i
\(328\) 4.51873 13.9072i 0.249505 0.767898i
\(329\) 2.75200 0.894179i 0.151723 0.0492977i
\(330\) 0.728760 0.899943i 0.0401169 0.0495402i
\(331\) 0.265609 + 5.06812i 0.0145992 + 0.278569i 0.996168 + 0.0874602i \(0.0278751\pi\)
−0.981569 + 0.191109i \(0.938792\pi\)
\(332\) −13.9737 + 11.3157i −0.766905 + 0.621028i
\(333\) −0.763086 4.81794i −0.0418169 0.264021i
\(334\) −4.07456 5.60815i −0.222950 0.306864i
\(335\) −45.0195 25.9920i −2.45968 1.42010i
\(336\) 0.174148 + 0.174148i 0.00950058 + 0.00950058i
\(337\) −2.61018 + 1.89641i −0.142185 + 0.103304i −0.656604 0.754235i \(-0.728008\pi\)
0.514419 + 0.857539i \(0.328008\pi\)
\(338\) −7.00164 5.64257i −0.380839 0.306916i
\(339\) −1.33752 + 0.434586i −0.0726440 + 0.0236035i
\(340\) 3.19613 + 0.856400i 0.173334 + 0.0464448i
\(341\) −9.38340 14.7555i −0.508140 0.799053i
\(342\) −8.90503 5.14132i −0.481529 0.278011i
\(343\) −7.52782 + 14.7742i −0.406464 + 0.797731i
\(344\) 8.17136 + 16.0372i 0.440570 + 0.864668i
\(345\) 1.00555 + 0.814278i 0.0541370 + 0.0438392i
\(346\) −0.00303087 0.0113114i −0.000162941 0.000608102i
\(347\) 2.33109i 0.125139i −0.998041 0.0625697i \(-0.980070\pi\)
0.998041 0.0625697i \(-0.0199296\pi\)
\(348\) −1.81238 + 0.190489i −0.0971537 + 0.0102113i
\(349\) −3.51666 4.34271i −0.188242 0.232460i 0.674284 0.738472i \(-0.264452\pi\)
−0.862526 + 0.506012i \(0.831119\pi\)
\(350\) −4.28385 9.62167i −0.228981 0.514300i
\(351\) 0.743970 + 2.76352i 0.0397102 + 0.147506i
\(352\) 18.1510 1.90774i 0.967450 0.101683i
\(353\) 14.7574 9.58359i 0.785459 0.510083i −0.0885041 0.996076i \(-0.528209\pi\)
0.873963 + 0.485993i \(0.161542\pi\)
\(354\) 1.06387 + 0.345673i 0.0565441 + 0.0183723i
\(355\) −11.7807 + 16.2147i −0.625252 + 0.860586i
\(356\) −11.1021 21.7890i −0.588409 1.15482i
\(357\) 0.00513739 0.0980273i 0.000271900 0.00518816i
\(358\) 2.28227 + 14.4097i 0.120622 + 0.761577i
\(359\) −3.42020 0.179245i −0.180511 0.00946019i −0.0381338 0.999273i \(-0.512141\pi\)
−0.142377 + 0.989812i \(0.545475\pi\)
\(360\) 9.01912 + 27.7580i 0.475349 + 1.46298i
\(361\) −3.43507 4.72797i −0.180793 0.248840i
\(362\) 0.293691 0.576400i 0.0154360 0.0302949i
\(363\) −0.137742 + 0.0613267i −0.00722958 + 0.00321882i
\(364\) 3.04163 6.85331i 0.159425 0.359211i
\(365\) −8.59737 + 19.3100i −0.450007 + 1.01073i
\(366\) 0.515424 0.138107i 0.0269416 0.00721899i
\(367\) 27.3302i 1.42663i 0.700845 + 0.713314i \(0.252807\pi\)
−0.700845 + 0.713314i \(0.747193\pi\)
\(368\) 0.344590 + 3.27856i 0.0179630 + 0.170907i
\(369\) 15.0152 + 9.75100i 0.781661 + 0.507617i
\(370\) 3.81200 2.47554i 0.198176 0.128697i
\(371\) 12.5809 3.37103i 0.653166 0.175015i
\(372\) −1.12396 0.0107229i −0.0582746 0.000555957i
\(373\) 16.5891 28.7331i 0.858950 1.48775i −0.0139806 0.999902i \(-0.504450\pi\)
0.872931 0.487844i \(-0.162216\pi\)
\(374\) −0.873900 0.786864i −0.0451883 0.0406877i
\(375\) 0.171303 3.26866i 0.00884606 0.168793i
\(376\) −3.03130 4.17223i −0.156327 0.215166i
\(377\) 14.8104 + 28.9826i 0.762773 + 1.49268i
\(378\) 0.649881 0.375209i 0.0334263 0.0192987i
\(379\) 4.48450 5.53790i 0.230353 0.284463i −0.648843 0.760922i \(-0.724747\pi\)
0.879196 + 0.476460i \(0.158080\pi\)
\(380\) −3.18481 + 30.3015i −0.163377 + 1.55443i
\(381\) 0.0770928 + 0.00810278i 0.00394958 + 0.000415118i
\(382\) −3.18818 4.90937i −0.163122 0.251185i
\(383\) 9.83734 3.77620i 0.502664 0.192955i −0.0938050 0.995591i \(-0.529903\pi\)
0.596469 + 0.802636i \(0.296570\pi\)
\(384\) 0.645777 1.26741i 0.0329547 0.0646772i
\(385\) 0.902540 17.2215i 0.0459977 0.877688i
\(386\) −0.667101 0.484677i −0.0339546 0.0246694i
\(387\) −21.5555 + 4.58177i −1.09573 + 0.232904i
\(388\) −3.65782 + 5.63255i −0.185698 + 0.285949i
\(389\) −1.27172 + 12.0996i −0.0644790 + 0.613476i 0.913797 + 0.406171i \(0.133136\pi\)
−0.978276 + 0.207306i \(0.933531\pi\)
\(390\) −1.03218 + 0.837854i −0.0522663 + 0.0424264i
\(391\) 0.879200 0.976451i 0.0444631 0.0493812i
\(392\) 12.3471 + 1.95558i 0.623621 + 0.0987719i
\(393\) −2.32025 + 0.753894i −0.117041 + 0.0380289i
\(394\) −1.90732 + 18.1470i −0.0960895 + 0.914231i
\(395\) −3.88687 + 0.615619i −0.195569 + 0.0309752i
\(396\) −2.22944 + 14.0761i −0.112034 + 0.707352i
\(397\) −19.2662 + 19.2662i −0.966943 + 0.966943i −0.999471 0.0325281i \(-0.989644\pi\)
0.0325281 + 0.999471i \(0.489644\pi\)
\(398\) −6.99183 + 1.87345i −0.350469 + 0.0939078i
\(399\) 0.898930 0.0944814i 0.0450028 0.00472998i
\(400\) 11.2437 10.1239i 0.562186 0.506194i
\(401\) −14.3366 + 0.751350i −0.715936 + 0.0375206i −0.406826 0.913506i \(-0.633365\pi\)
−0.309110 + 0.951026i \(0.600031\pi\)
\(402\) 1.18754 0.0592293
\(403\) 7.03720 + 18.8010i 0.350548 + 0.936545i
\(404\) 19.4855 0.969440
\(405\) −35.4737 + 1.85910i −1.76270 + 0.0923792i
\(406\) 6.34216 5.71051i 0.314756 0.283408i
\(407\) 5.10867 0.536943i 0.253228 0.0266153i
\(408\) −0.168988 + 0.0452801i −0.00836613 + 0.00224170i
\(409\) 14.0470 14.0470i 0.694580 0.694580i −0.268656 0.963236i \(-0.586579\pi\)
0.963236 + 0.268656i \(0.0865794\pi\)
\(410\) −2.60971 + 16.4771i −0.128885 + 0.813745i
\(411\) 2.21497 0.350817i 0.109256 0.0173045i
\(412\) 1.66774 15.8674i 0.0821634 0.781733i
\(413\) 15.8432 5.14777i 0.779593 0.253305i
\(414\) 4.94592 + 0.783357i 0.243079 + 0.0384999i
\(415\) 31.7685 35.2825i 1.55945 1.73195i
\(416\) −20.8404 2.16562i −1.02179 0.106178i
\(417\) −0.0107598 + 0.102373i −0.000526911 + 0.00501322i
\(418\) 5.89747 9.08131i 0.288455 0.444182i
\(419\) −13.2841 + 2.82361i −0.648969 + 0.137943i −0.520623 0.853787i \(-0.674300\pi\)
−0.128346 + 0.991729i \(0.540967\pi\)
\(420\) −0.896800 0.651563i −0.0437593 0.0317930i
\(421\) −1.58958 + 30.3310i −0.0774714 + 1.47824i 0.632800 + 0.774315i \(0.281905\pi\)
−0.710272 + 0.703927i \(0.751428\pi\)
\(422\) 5.47990 10.7549i 0.266757 0.523541i
\(423\) 5.89479 2.26280i 0.286615 0.110021i
\(424\) −12.6428 19.4682i −0.613989 0.945460i
\(425\) −5.99734 0.630346i −0.290914 0.0305763i
\(426\) 0.0478591 0.455349i 0.00231878 0.0220617i
\(427\) 5.00088 6.17557i 0.242009 0.298857i
\(428\) 5.50004 3.17545i 0.265855 0.153491i
\(429\) −1.46925 + 0.314106i −0.0709358 + 0.0151652i
\(430\) −12.0696 16.6124i −0.582048 0.801120i
\(431\) 0.672005 12.8226i 0.0323694 0.617644i −0.933494 0.358593i \(-0.883257\pi\)
0.965863 0.259052i \(-0.0834100\pi\)
\(432\) 0.801110 + 0.721323i 0.0385434 + 0.0347047i
\(433\) −3.30994 + 5.73299i −0.159066 + 0.275510i −0.934532 0.355879i \(-0.884182\pi\)
0.775466 + 0.631389i \(0.217515\pi\)
\(434\) 4.28783 3.05322i 0.205822 0.146559i
\(435\) 4.64789 1.24540i 0.222849 0.0597123i
\(436\) 13.0536 8.47708i 0.625152 0.405978i
\(437\) 10.1470 + 6.58953i 0.485396 + 0.315220i
\(438\) −0.0504738 0.480227i −0.00241173 0.0229461i
\(439\) 7.91009i 0.377528i 0.982022 + 0.188764i \(0.0604481\pi\)
−0.982022 + 0.188764i \(0.939552\pi\)
\(440\) −29.6878 + 7.95483i −1.41531 + 0.379232i
\(441\) −6.22535 + 13.9824i −0.296445 + 0.665826i
\(442\) 0.794811 + 1.09126i 0.0378053 + 0.0519059i
\(443\) 29.4109 13.0946i 1.39735 0.622143i 0.436629 0.899642i \(-0.356172\pi\)
0.960726 + 0.277499i \(0.0895056\pi\)
\(444\) 0.149904 0.294202i 0.00711411 0.0139622i
\(445\) 37.9536 + 52.2387i 1.79917 + 2.47635i
\(446\) −5.45940 16.8023i −0.258510 0.795612i
\(447\) −2.09367 0.109724i −0.0990271 0.00518979i
\(448\) 0.278698 + 1.75963i 0.0131672 + 0.0831346i
\(449\) 0.858469 16.3806i 0.0405137 0.773047i −0.900537 0.434780i \(-0.856826\pi\)
0.941050 0.338267i \(-0.109841\pi\)
\(450\) −10.4338 20.4774i −0.491853 0.965316i
\(451\) −11.0818 + 15.2528i −0.521823 + 0.718228i
\(452\) 15.3381 + 4.98364i 0.721442 + 0.234411i
\(453\) −2.34555 + 1.52322i −0.110203 + 0.0715670i
\(454\) −8.82063 + 0.927086i −0.413973 + 0.0435103i
\(455\) −5.10157 + 19.1294i −0.239165 + 0.896798i
\(456\) −0.655229 1.47167i −0.0306839 0.0689172i
\(457\) −12.5599 15.5102i −0.587529 0.725538i 0.393516 0.919318i \(-0.371259\pi\)
−0.981045 + 0.193780i \(0.937925\pi\)
\(458\) −2.51861 + 0.264717i −0.117687 + 0.0123694i
\(459\) 0.429662i 0.0200549i
\(460\) −3.84033 14.3323i −0.179056 0.668246i
\(461\) −10.1915 8.25295i −0.474668 0.384378i 0.361922 0.932208i \(-0.382121\pi\)
−0.836590 + 0.547830i \(0.815454\pi\)
\(462\) 0.178851 + 0.351016i 0.00832092 + 0.0163307i
\(463\) −10.8647 + 21.3232i −0.504927 + 0.990975i 0.488066 + 0.872806i \(0.337702\pi\)
−0.992994 + 0.118169i \(0.962298\pi\)
\(464\) 10.6172 + 6.12985i 0.492892 + 0.284571i
\(465\) 2.93564 0.436294i 0.136137 0.0202327i
\(466\) −2.79110 0.747873i −0.129295 0.0346445i
\(467\) −21.0551 + 6.84122i −0.974314 + 0.316574i −0.752556 0.658528i \(-0.771179\pi\)
−0.221758 + 0.975102i \(0.571179\pi\)
\(468\) 5.84537 15.2815i 0.270202 0.706386i
\(469\) 14.3074 10.3949i 0.660655 0.479994i
\(470\) 4.16027 + 4.16027i 0.191899 + 0.191899i
\(471\) −0.288484 0.166556i −0.0132926 0.00767451i
\(472\) −17.4511 24.0194i −0.803253 1.10558i
\(473\) −3.63027 22.9206i −0.166920 1.05389i
\(474\) 0.0698653 0.0565758i 0.00320902 0.00259861i
\(475\) −2.90612 55.4521i −0.133342 2.54432i
\(476\) −0.708412 + 0.874815i −0.0324700 + 0.0400971i
\(477\) 27.0301 8.78261i 1.23762 0.402128i
\(478\) −5.17419 + 15.9245i −0.236662 + 0.728371i
\(479\) −10.2922 + 26.8121i −0.470263 + 1.22508i 0.469403 + 0.882984i \(0.344469\pi\)
−0.939666 + 0.342093i \(0.888864\pi\)
\(480\) −0.957230 + 2.94605i −0.0436914 + 0.134468i
\(481\) −5.86564 0.609523i −0.267450 0.0277919i
\(482\) −1.60530 0.168724i −0.0731196 0.00768518i
\(483\) −0.392207 + 0.199839i −0.0178460 + 0.00909300i
\(484\) 1.69127 + 0.359490i 0.0768757 + 0.0163404i
\(485\) 7.21280 16.2002i 0.327517 0.735614i
\(486\) 2.06199 1.33907i 0.0935336 0.0607414i
\(487\) 15.9886 + 19.7443i 0.724513 + 0.894699i 0.997736 0.0672520i \(-0.0214231\pi\)
−0.273223 + 0.961951i \(0.588090\pi\)
\(488\) −13.2219 5.07542i −0.598528 0.229753i
\(489\) −0.748060 1.94876i −0.0338284 0.0881261i
\(490\) −14.2617 −0.644276
\(491\) −18.1065 −0.817134 −0.408567 0.912728i \(-0.633971\pi\)
−0.408567 + 0.912728i \(0.633971\pi\)
\(492\) 0.434304 + 1.13140i 0.0195799 + 0.0510075i
\(493\) −1.01594 4.77961i −0.0457555 0.215263i
\(494\) −8.77979 + 8.80049i −0.395021 + 0.395953i
\(495\) 37.6306i 1.69137i
\(496\) 6.07481 + 4.50277i 0.272767 + 0.202180i
\(497\) −3.40921 5.90493i −0.152924 0.264872i
\(498\) −0.225499 + 1.06089i −0.0101048 + 0.0475395i
\(499\) −15.3117 + 23.5780i −0.685448 + 1.05550i 0.309081 + 0.951036i \(0.399978\pi\)
−0.994529 + 0.104461i \(0.966688\pi\)
\(500\) −23.6215 + 29.1702i −1.05639 + 1.30453i
\(501\) 1.28436 + 0.344143i 0.0573810 + 0.0153752i
\(502\) 0.674993 2.51911i 0.0301264 0.112433i
\(503\) 15.2906 11.1092i 0.681772 0.495337i −0.192173 0.981361i \(-0.561553\pi\)
0.873945 + 0.486024i \(0.161553\pi\)
\(504\) −9.87483 1.03789i −0.439860 0.0462311i
\(505\) −50.8170 + 8.04862i −2.26133 + 0.358159i
\(506\) −1.09637 + 5.15803i −0.0487398 + 0.229303i
\(507\) 1.72485 0.00406090i 0.0766033 0.000180351i
\(508\) −0.660608 0.594814i −0.0293098 0.0263906i
\(509\) 2.76093 + 5.41863i 0.122376 + 0.240176i 0.944065 0.329760i \(-0.106968\pi\)
−0.821689 + 0.569936i \(0.806968\pi\)
\(510\) 0.182334 0.0811803i 0.00807388 0.00359472i
\(511\) −4.81168 5.34391i −0.212856 0.236401i
\(512\) −12.9273 + 6.58681i −0.571313 + 0.291099i
\(513\) 3.90765 0.618911i 0.172527 0.0273256i
\(514\) −5.83360 + 8.98296i −0.257309 + 0.396221i
\(515\) 2.20480 + 42.0702i 0.0971553 + 1.85383i
\(516\) −1.36273 0.606724i −0.0599906 0.0267096i
\(517\) 2.05472 + 6.32376i 0.0903663 + 0.278119i
\(518\) 0.241895 + 1.52726i 0.0106283 + 0.0671042i
\(519\) 0.00181723 + 0.00132030i 7.97676e−5 + 5.79545e-5i
\(520\) 35.2343 1.88814i 1.54513 0.0828006i
\(521\) 10.3791 + 17.9771i 0.454715 + 0.787590i 0.998672 0.0515232i \(-0.0164076\pi\)
−0.543956 + 0.839114i \(0.683074\pi\)
\(522\) 13.1681 13.1681i 0.576353 0.576353i
\(523\) 3.97673 8.93189i 0.173890 0.390564i −0.805484 0.592617i \(-0.798095\pi\)
0.979375 + 0.202053i \(0.0647613\pi\)
\(524\) 26.6076 + 8.64533i 1.16236 + 0.377673i
\(525\) 1.80004 + 0.917168i 0.0785603 + 0.0400285i
\(526\) 1.33574 + 4.98505i 0.0582410 + 0.217358i
\(527\) −0.286426 3.00022i −0.0124769 0.130692i
\(528\) −0.400172 + 0.400172i −0.0174152 + 0.0174152i
\(529\) 16.7341 + 3.55694i 0.727569 + 0.154649i
\(530\) 17.7203 + 19.6804i 0.769722 + 0.854863i
\(531\) 33.9362 13.0269i 1.47270 0.565318i
\(532\) −8.97663 5.18266i −0.389186 0.224697i
\(533\) 16.0679 14.5019i 0.695978 0.628147i
\(534\) −1.34755 0.599967i −0.0583141 0.0259631i
\(535\) −13.0321 + 10.5532i −0.563428 + 0.456255i
\(536\) −25.4994 18.5264i −1.10140 0.800217i
\(537\) −2.07965 1.87252i −0.0897435 0.0808054i
\(538\) −4.22548 3.42172i −0.182173 0.147521i
\(539\) −14.3610 7.31728i −0.618571 0.315178i
\(540\) −4.06924 2.64260i −0.175112 0.113719i
\(541\) 18.5992 + 22.9681i 0.799643 + 0.987477i 0.999970 + 0.00774798i \(0.00246628\pi\)
−0.200327 + 0.979729i \(0.564200\pi\)
\(542\) −0.489362 + 0.440623i −0.0210199 + 0.0189264i
\(543\) 0.0257990 + 0.121375i 0.00110714 + 0.00520870i
\(544\) 2.93672 + 1.12730i 0.125911 + 0.0483326i
\(545\) −30.5413 + 27.4996i −1.30825 + 1.17795i
\(546\) −0.117571 0.436723i −0.00503156 0.0186900i
\(547\) −2.64793 25.1934i −0.113217 1.07719i −0.892664 0.450723i \(-0.851166\pi\)
0.779446 0.626469i \(-0.215500\pi\)
\(548\) −22.9139 11.6752i −0.978835 0.498742i
\(549\) 10.1922 14.0283i 0.434992 0.598715i
\(550\) 22.1094 9.84376i 0.942750 0.419739i
\(551\) 42.0057 16.1245i 1.78950 0.686927i
\(552\) 0.554737 + 0.554737i 0.0236112 + 0.0236112i
\(553\) 0.346505 1.29317i 0.0147349 0.0549913i
\(554\) 13.1086 + 2.07620i 0.556932 + 0.0882094i
\(555\) −0.269417 + 0.829180i −0.0114361 + 0.0351967i
\(556\) 0.789864 0.877233i 0.0334977 0.0372030i
\(557\) 3.95279 14.7520i 0.167485 0.625063i −0.830225 0.557429i \(-0.811788\pi\)
0.997710 0.0676348i \(-0.0215453\pi\)
\(558\) 8.99496 7.14297i 0.380787 0.302386i
\(559\) −1.36299 + 26.6067i −0.0576485 + 1.12534i
\(560\) 2.30444 + 7.09233i 0.0973803 + 0.299706i
\(561\) 0.225255 + 0.0118051i 0.00951027 + 0.000498412i
\(562\) 2.06002 + 0.917182i 0.0868969 + 0.0386890i
\(563\) 31.1197 17.9670i 1.31154 0.757217i 0.329188 0.944265i \(-0.393225\pi\)
0.982351 + 0.187047i \(0.0598918\pi\)
\(564\) 0.412843 + 0.110621i 0.0173838 + 0.00465798i
\(565\) −42.0592 6.66153i −1.76945 0.280253i
\(566\) 1.26837 3.30421i 0.0533134 0.138886i
\(567\) 4.33076 11.2820i 0.181875 0.473800i
\(568\) −8.13136 + 9.03079i −0.341184 + 0.378924i
\(569\) −26.9109 + 19.5519i −1.12816 + 0.819658i −0.985426 0.170103i \(-0.945590\pi\)
−0.142736 + 0.989761i \(0.545590\pi\)
\(570\) 1.00096 + 1.54134i 0.0419254 + 0.0645595i
\(571\) −7.21041 8.00797i −0.301746 0.335123i 0.573135 0.819461i \(-0.305727\pi\)
−0.874881 + 0.484338i \(0.839060\pi\)
\(572\) 15.7481 + 6.98929i 0.658460 + 0.292237i
\(573\) 1.06788 + 0.346975i 0.0446113 + 0.0144951i
\(574\) −4.75976 3.09102i −0.198669 0.129017i
\(575\) 10.9989 + 24.7039i 0.458686 + 1.03023i
\(576\) 0.808266 + 3.80259i 0.0336777 + 0.158441i
\(577\) 36.4121 1.90828i 1.51586 0.0794427i 0.723851 0.689956i \(-0.242370\pi\)
0.792006 + 0.610514i \(0.209037\pi\)
\(578\) 4.14148 + 10.7889i 0.172263 + 0.448760i
\(579\) 0.157950 0.00827781i 0.00656418 0.000344014i
\(580\) −51.5151 19.7748i −2.13905 0.821104i
\(581\) 6.56950 + 14.7553i 0.272549 + 0.612154i
\(582\) 0.0423453 + 0.402888i 0.00175527 + 0.0167003i
\(583\) 7.74622 + 28.9093i 0.320816 + 1.19730i
\(584\) −6.40802 + 11.0990i −0.265166 + 0.459281i
\(585\) −8.93226 + 42.2676i −0.369303 + 1.74755i
\(586\) 5.65517 1.20204i 0.233613 0.0496559i
\(587\) −1.01524 19.3719i −0.0419035 0.799566i −0.936066 0.351824i \(-0.885562\pi\)
0.894163 0.447742i \(-0.147772\pi\)
\(588\) −0.897232 + 0.518017i −0.0370012 + 0.0213627i
\(589\) 26.8736 6.92666i 1.10731 0.285408i
\(590\) 23.9506 + 23.9506i 0.986029 + 0.986029i
\(591\) −1.90625 2.93537i −0.0784126 0.120745i
\(592\) −1.97921 + 1.00846i −0.0813449 + 0.0414473i
\(593\) 1.82102 11.4974i 0.0747801 0.472143i −0.921671 0.387972i \(-0.873176\pi\)
0.996451 0.0841712i \(-0.0268243\pi\)
\(594\) 0.862184 + 1.49335i 0.0353758 + 0.0612728i
\(595\) 1.48614 2.57408i 0.0609260 0.105527i
\(596\) 18.6843 + 15.1303i 0.765339 + 0.619759i
\(597\) 0.816107 1.12327i 0.0334010 0.0459726i
\(598\) 2.45582 5.53339i 0.100426 0.226277i
\(599\) 29.5516 + 6.28138i 1.20744 + 0.256650i 0.767307 0.641280i \(-0.221596\pi\)
0.440138 + 0.897930i \(0.354930\pi\)
\(600\) 0.563252 3.55623i 0.0229947 0.145183i
\(601\) 7.34296 34.5459i 0.299526 1.40916i −0.528722 0.848795i \(-0.677328\pi\)
0.828247 0.560363i \(-0.189338\pi\)
\(602\) 6.83301 1.45240i 0.278492 0.0591954i
\(603\) 29.9903 24.2856i 1.22130 0.988988i
\(604\) 32.0279 + 1.67851i 1.30320 + 0.0682976i
\(605\) −4.55920 0.238938i −0.185358 0.00971420i
\(606\) 0.913421 0.739674i 0.0371052 0.0300472i
\(607\) 4.17148 0.886675i 0.169315 0.0359890i −0.122474 0.992472i \(-0.539083\pi\)
0.291789 + 0.956483i \(0.405749\pi\)
\(608\) −6.02224 + 28.3324i −0.244234 + 1.14903i
\(609\) −0.256081 + 1.61683i −0.0103769 + 0.0655174i
\(610\) 15.8042 + 3.35929i 0.639894 + 0.136014i
\(611\) −0.806853 7.59073i −0.0326418 0.307088i
\(612\) −1.44380 + 1.98722i −0.0583621 + 0.0803286i
\(613\) 32.8757 + 26.6222i 1.32784 + 1.07526i 0.991023 + 0.133688i \(0.0426821\pi\)
0.336812 + 0.941572i \(0.390651\pi\)
\(614\) −4.04489 + 7.00596i −0.163239 + 0.282737i
\(615\) −1.59997 2.77123i −0.0645170 0.111747i
\(616\) 1.63569 10.3273i 0.0659037 0.416100i
\(617\) −14.3681 + 7.32092i −0.578438 + 0.294729i −0.718627 0.695396i \(-0.755229\pi\)
0.140189 + 0.990125i \(0.455229\pi\)
\(618\) −0.524153 0.807125i −0.0210845 0.0324673i
\(619\) 1.74545 + 1.74545i 0.0701554 + 0.0701554i 0.741314 0.671159i \(-0.234203\pi\)
−0.671159 + 0.741314i \(0.734203\pi\)
\(620\) −30.1761 15.7399i −1.21190 0.632130i
\(621\) −1.66859 + 0.963359i −0.0669581 + 0.0386583i
\(622\) 0.183216 + 3.49597i 0.00734629 + 0.140176i
\(623\) −21.4868 + 4.56717i −0.860852 + 0.182980i
\(624\) 0.544470 0.354495i 0.0217963 0.0141912i
\(625\) 21.7035 37.5916i 0.868140 1.50366i
\(626\) 1.56380 + 5.83617i 0.0625019 + 0.233260i
\(627\) 0.217107 + 2.06563i 0.00867041 + 0.0824934i
\(628\) 1.55373 + 3.48974i 0.0620006 + 0.139256i
\(629\) 0.826552 + 0.317284i 0.0329568 + 0.0126509i
\(630\) 11.3122 0.592846i 0.450688 0.0236195i
\(631\) −2.86299 7.45835i −0.113974 0.296912i 0.864714 0.502264i \(-0.167499\pi\)
−0.978688 + 0.205352i \(0.934166\pi\)
\(632\) −2.38279 + 0.124877i −0.0947823 + 0.00496733i
\(633\) 0.481378 + 2.26470i 0.0191331 + 0.0900139i
\(634\) −2.82628 6.34792i −0.112246 0.252108i
\(635\) 1.96852 + 1.27837i 0.0781182 + 0.0507306i
\(636\) 1.82966 + 0.594494i 0.0725509 + 0.0235732i
\(637\) 14.3937 + 11.6278i 0.570299 + 0.460709i
\(638\) 13.1221 + 14.5735i 0.519507 + 0.576971i
\(639\) −8.10340 12.4781i −0.320566 0.493628i
\(640\) 34.8451 25.3165i 1.37737 1.00072i
\(641\) −12.2240 + 13.5761i −0.482819 + 0.536225i −0.934504 0.355953i \(-0.884156\pi\)
0.451685 + 0.892178i \(0.350823\pi\)
\(642\) 0.137284 0.357638i 0.00541818 0.0141149i
\(643\) −3.38194 + 8.81026i −0.133371 + 0.347443i −0.983960 0.178387i \(-0.942912\pi\)
0.850590 + 0.525830i \(0.176245\pi\)
\(644\) 4.98569 + 0.789655i 0.196464 + 0.0311168i
\(645\) 3.80451 + 1.01942i 0.149803 + 0.0401395i
\(646\) 1.61627 0.933151i 0.0635911 0.0367143i
\(647\) 7.37660 + 3.28427i 0.290004 + 0.129118i 0.546582 0.837405i \(-0.315929\pi\)
−0.256578 + 0.966523i \(0.582595\pi\)
\(648\) −21.5084 1.12721i −0.844929 0.0442808i
\(649\) 11.8289 + 36.4057i 0.464327 + 1.42905i
\(650\) −27.1704 + 5.80869i −1.06571 + 0.227836i
\(651\) −0.270615 + 0.972732i −0.0106062 + 0.0381244i
\(652\) −6.19547 + 23.1218i −0.242634 + 0.905521i
\(653\) 10.9701 12.1835i 0.429292 0.476777i −0.489226 0.872157i \(-0.662721\pi\)
0.918517 + 0.395381i \(0.129387\pi\)
\(654\) 0.290119 0.892895i 0.0113446 0.0349150i
\(655\) −72.9619 11.5560i −2.85086 0.451532i
\(656\) 2.11011 7.87505i 0.0823861 0.307469i
\(657\) −11.0955 11.0955i −0.432875 0.432875i
\(658\) −1.86862 + 0.717297i −0.0728465 + 0.0279632i
\(659\) −30.0125 + 13.3624i −1.16912 + 0.520527i −0.897127 0.441772i \(-0.854350\pi\)
−0.271995 + 0.962299i \(0.587683\pi\)
\(660\) 1.49721 2.06074i 0.0582789 0.0802141i
\(661\) −15.0298 7.65806i −0.584591 0.297864i 0.136571 0.990630i \(-0.456392\pi\)
−0.721162 + 0.692766i \(0.756392\pi\)
\(662\) −0.366948 3.49128i −0.0142619 0.135693i
\(663\) −0.250210 0.0667279i −0.00971734 0.00259150i
\(664\) 21.3924 19.2618i 0.830188 0.747505i
\(665\) 25.5512 + 9.80819i 0.990834 + 0.380345i
\(666\) 0.701532 + 3.30045i 0.0271838 + 0.127890i
\(667\) −16.2837 + 14.6619i −0.630507 + 0.567711i
\(668\) −9.59591 11.8500i −0.371277 0.458489i
\(669\) 2.84207 + 1.84566i 0.109881 + 0.0713575i
\(670\) 32.0390 + 16.3247i 1.23777 + 0.630678i
\(671\) 14.1907 + 11.4914i 0.547826 + 0.443621i
\(672\) −0.783143 0.705145i −0.0302104 0.0272016i
\(673\) −32.5726 23.6654i −1.25558 0.912232i −0.257048 0.966399i \(-0.582750\pi\)
−0.998532 + 0.0541661i \(0.982750\pi\)
\(674\) 1.73437 1.40447i 0.0668056 0.0540981i
\(675\) 8.07823 + 3.59666i 0.310931 + 0.138436i
\(676\) −16.0296 11.5886i −0.616522 0.445716i
\(677\) −4.22460 2.43907i −0.162365 0.0937412i 0.416616 0.909083i \(-0.363216\pi\)
−0.578981 + 0.815341i \(0.696549\pi\)
\(678\) 0.908181 0.348618i 0.0348785 0.0133886i
\(679\) 4.03678 + 4.48330i 0.154917 + 0.172053i
\(680\) −5.18160 1.10138i −0.198705 0.0422361i
\(681\) 1.20296 1.20296i 0.0460976 0.0460976i
\(682\) 7.01593 + 9.85291i 0.268654 + 0.377287i
\(683\) −7.30148 27.2495i −0.279383 1.04267i −0.952847 0.303453i \(-0.901861\pi\)
0.673463 0.739221i \(-0.264806\pi\)
\(684\) −20.1529 10.2684i −0.770566 0.392623i
\(685\) 64.5807 + 20.9835i 2.46750 + 0.801740i
\(686\) 4.66513 10.4780i 0.178115 0.400054i
\(687\) 0.343489 0.343489i 0.0131049 0.0131049i
\(688\) 5.01757 + 8.69068i 0.191293 + 0.331329i
\(689\) −1.83863 34.3103i −0.0700462 1.30712i
\(690\) −0.724079 0.526074i −0.0275652 0.0200273i
\(691\) 0.358170 + 2.26140i 0.0136254 + 0.0860277i 0.993564 0.113272i \(-0.0361332\pi\)
−0.979939 + 0.199300i \(0.936133\pi\)
\(692\) −0.00795987 0.0244979i −0.000302589 0.000931272i
\(693\) 11.6951 + 5.20700i 0.444260 + 0.197797i
\(694\) 0.0843892 + 1.61024i 0.00320337 + 0.0611239i
\(695\) −1.69757 + 2.61403i −0.0643925 + 0.0991557i
\(696\) 2.88160 0.456400i 0.109227 0.0172998i
\(697\) −2.89533 + 1.47525i −0.109669 + 0.0558789i
\(698\) 2.58641 + 2.87250i 0.0978970 + 0.108726i
\(699\) 0.506341 0.225438i 0.0191516 0.00852683i
\(700\) −10.5177 20.6421i −0.397531 0.780198i
\(701\) 6.44285 + 5.80117i 0.243343 + 0.219107i 0.781773 0.623563i \(-0.214316\pi\)
−0.538430 + 0.842670i \(0.680982\pi\)
\(702\) −0.613955 1.88202i −0.0231722 0.0710322i
\(703\) −1.69499 + 7.97428i −0.0639276 + 0.300756i
\(704\) −4.04341 + 0.640414i −0.152392 + 0.0241365i
\(705\) −1.12236 0.117965i −0.0422705 0.00444281i
\(706\) −9.84702 + 7.15428i −0.370597 + 0.269255i
\(707\) 4.53021 16.9070i 0.170376 0.635853i
\(708\) 2.37672 + 0.636841i 0.0893228 + 0.0239340i
\(709\) −17.0904 + 21.1048i −0.641842 + 0.792609i −0.989426 0.145040i \(-0.953669\pi\)
0.347584 + 0.937649i \(0.387002\pi\)
\(710\) 7.55070 11.6271i 0.283373 0.436356i
\(711\) 0.607388 2.85754i 0.0227788 0.107166i
\(712\) 19.5752 + 33.9052i 0.733612 + 1.27065i
\(713\) −11.0091 + 7.83923i −0.412295 + 0.293581i
\(714\) 0.0679001i 0.00254110i
\(715\) −43.9570 11.7228i −1.64390 0.438407i
\(716\) 6.67216 + 31.3901i 0.249350 + 1.17310i
\(717\) −1.15099 2.99843i −0.0429844 0.111978i
\(718\) 2.36905 0.0884123
\(719\) −42.7306 −1.59358 −0.796792 0.604254i \(-0.793471\pi\)
−0.796792 + 0.604254i \(0.793471\pi\)
\(720\) 5.83158 + 15.1918i 0.217330 + 0.566165i
\(721\) −13.3800 5.13609i −0.498296 0.191278i
\(722\) 2.54400 + 3.14157i 0.0946777 + 0.116917i
\(723\) 0.259667 0.168629i 0.00965710 0.00627139i
\(724\) 0.578774 1.29995i 0.0215100 0.0483122i
\(725\) 98.3675 + 20.9087i 3.65328 + 0.776528i
\(726\) 0.0929277 0.0473490i 0.00344887 0.00175729i
\(727\) 16.2420 + 1.70711i 0.602383 + 0.0633131i 0.400811 0.916161i \(-0.368728\pi\)
0.201572 + 0.979474i \(0.435395\pi\)
\(728\) −4.28861 + 11.2116i −0.158946 + 0.415531i
\(729\) 8.05113 24.7788i 0.298190 0.917735i
\(730\) 5.23973 13.6500i 0.193931 0.505208i
\(731\) 1.23599 3.80398i 0.0457146 0.140695i
\(732\) 1.11630 0.362706i 0.0412595 0.0134060i
\(733\) −25.0681 + 30.9566i −0.925913 + 1.14341i 0.0634569 + 0.997985i \(0.479787\pi\)
−0.989370 + 0.145422i \(0.953546\pi\)
\(734\) −0.989399 18.8789i −0.0365194 0.696831i
\(735\) 2.12596 1.72156i 0.0784171 0.0635009i
\(736\) −2.20665 13.9323i −0.0813383 0.513550i
\(737\) 23.8863 + 32.8767i 0.879864 + 1.21103i
\(738\) −10.7250 6.19210i −0.394794 0.227934i
\(739\) −2.70831 2.70831i −0.0996266 0.0996266i 0.655537 0.755163i \(-0.272442\pi\)
−0.755163 + 0.655537i \(0.772442\pi\)
\(740\) 8.08856 5.87668i 0.297341 0.216031i
\(741\) 0.246454 2.37170i 0.00905370 0.0871267i
\(742\) −8.56842 + 2.78405i −0.314557 + 0.102206i
\(743\) −22.2333 5.95740i −0.815662 0.218556i −0.173213 0.984884i \(-0.555415\pi\)
−0.642449 + 0.766328i \(0.722082\pi\)
\(744\) 1.79784 0.0770303i 0.0659120 0.00282407i
\(745\) −54.9772 31.7411i −2.01421 1.16290i
\(746\) −10.4190 + 20.4485i −0.381468 + 0.748672i
\(747\) 16.0007 + 31.4032i 0.585436 + 1.14898i
\(748\) −2.01022 1.62784i −0.0735009 0.0595199i
\(749\) −1.47653 5.51048i −0.0539512 0.201349i
\(750\) 2.26409i 0.0826728i
\(751\) −41.0455 + 4.31406i −1.49777 + 0.157422i −0.817667 0.575691i \(-0.804733\pi\)
−0.680106 + 0.733114i \(0.738066\pi\)
\(752\) −1.80950 2.23454i −0.0659855 0.0814854i
\(753\) 0.203469 + 0.456998i 0.00741482 + 0.0166539i
\(754\) −11.2797 19.4841i −0.410784 0.709568i
\(755\) −84.2201 + 8.85188i −3.06508 + 0.322153i
\(756\) 1.38435 0.899009i 0.0503484 0.0326967i
\(757\) −5.81221 1.88850i −0.211248 0.0686387i 0.201481 0.979492i \(-0.435425\pi\)
−0.412729 + 0.910854i \(0.635425\pi\)
\(758\) −2.89727 + 3.98775i −0.105234 + 0.144841i
\(759\) −0.459206 0.901243i −0.0166681 0.0327131i
\(760\) 2.55287 48.7116i 0.0926022 1.76696i
\(761\) −1.48721 9.38986i −0.0539113 0.340382i −0.999870 0.0160966i \(-0.994876\pi\)
0.945959 0.324286i \(-0.105124\pi\)
\(762\) −0.0535466 0.00280626i −0.00193979 0.000101660i
\(763\) −4.32046 13.2970i −0.156411 0.481385i
\(764\) −7.56842 10.4170i −0.273816 0.376875i
\(765\) 2.94451 5.77892i 0.106459 0.208937i
\(766\) −6.65861 + 2.96461i −0.240585 + 0.107116i
\(767\) −4.64503 43.6996i −0.167722 1.57790i
\(768\) −0.540890 + 1.21486i −0.0195177 + 0.0438374i
\(769\) 5.79012 1.55146i 0.208797 0.0559470i −0.152904 0.988241i \(-0.548863\pi\)
0.361701 + 0.932294i \(0.382196\pi\)
\(770\) 11.9287i 0.429882i
\(771\) −0.214755 2.04326i −0.00773423 0.0735862i
\(772\) −1.52117 0.987860i −0.0547481 0.0355538i
\(773\) 26.0285 16.9031i 0.936181 0.607963i 0.0161756 0.999869i \(-0.494851\pi\)
0.920005 + 0.391906i \(0.128184\pi\)
\(774\) 14.7240 3.94528i 0.529243 0.141810i
\(775\) 58.8059 + 19.7294i 2.11237 + 0.708700i
\(776\) 5.37604 9.31157i 0.192989 0.334266i
\(777\) −0.220419 0.198466i −0.00790749 0.00711994i
\(778\) 0.440439 8.40409i 0.0157905 0.301301i
\(779\) −17.5875 24.2072i −0.630139 0.867312i
\(780\) −2.17086 + 1.95928i −0.0777291 + 0.0701535i
\(781\) 13.5688 7.83396i 0.485530 0.280321i
\(782\) −0.571974 + 0.706329i −0.0204538 + 0.0252583i
\(783\) −0.748970 + 7.12597i −0.0267660 + 0.254661i
\(784\) 6.93160 + 0.728541i 0.247557 + 0.0260193i
\(785\) −5.49349 8.45923i −0.196071 0.301923i
\(786\) 1.57546 0.604763i 0.0561948 0.0215712i
\(787\) −4.64140 + 9.10927i −0.165448 + 0.324710i −0.958814 0.284035i \(-0.908327\pi\)
0.793366 + 0.608745i \(0.208327\pi\)
\(788\) −2.10059 + 40.0817i −0.0748306 + 1.42785i
\(789\) −0.800875 0.581869i −0.0285119 0.0207151i
\(790\) 2.66264 0.565961i 0.0947323 0.0201360i
\(791\) 7.89012 12.1497i 0.280540 0.431994i
\(792\) 2.38494 22.6912i 0.0847450 0.806295i
\(793\) −13.2117 16.2758i −0.469160 0.577972i
\(794\) 12.6110 14.0059i 0.447548 0.497052i
\(795\) −5.01721 0.794648i −0.177942 0.0281833i
\(796\) −15.1428 + 4.92019i −0.536722 + 0.174391i
\(797\) 0.171709 1.63370i 0.00608225 0.0578688i −0.991060 0.133419i \(-0.957405\pi\)
0.997142 + 0.0755498i \(0.0240712\pi\)
\(798\) −0.617532 + 0.0978074i −0.0218604 + 0.00346235i
\(799\) −0.179278 + 1.13192i −0.00634239 + 0.0400443i
\(800\) −45.7777 + 45.7777i −1.61849 + 1.61849i
\(801\) −46.3006 + 12.4062i −1.63595 + 0.438351i
\(802\) 9.87608 1.03802i 0.348736 0.0366537i
\(803\) 12.2797 11.0567i 0.433340 0.390181i
\(804\) 2.60859 0.136711i 0.0919980 0.00482141i
\(805\) −13.3285 −0.469769
\(806\) −5.54170 12.7324i −0.195198 0.448479i
\(807\) 1.04293 0.0367128
\(808\) −31.1526 + 1.63264i −1.09595 + 0.0574361i
\(809\) 9.78807 8.81322i 0.344130 0.309856i −0.478883 0.877879i \(-0.658958\pi\)
0.823013 + 0.568023i \(0.192291\pi\)
\(810\) 24.4368 2.56841i 0.858621 0.0902447i
\(811\) −8.77523 + 2.35132i −0.308140 + 0.0825659i −0.409575 0.912276i \(-0.634323\pi\)
0.101435 + 0.994842i \(0.467656\pi\)
\(812\) 13.2740 13.2740i 0.465826 0.465826i
\(813\) 0.0197592 0.124755i 0.000692987 0.00437535i
\(814\) −3.50947 + 0.555845i −0.123007 + 0.0194824i
\(815\) 6.60679 62.8594i 0.231426 2.20187i
\(816\) −0.0927668 + 0.0301418i −0.00324749 + 0.00105517i
\(817\) 36.3764 + 5.76146i 1.27265 + 0.201568i
\(818\) −9.19471 + 10.2118i −0.321485 + 0.357046i
\(819\) −11.9003 8.62466i −0.415829 0.301370i
\(820\) −3.83572 + 36.4945i −0.133949 + 1.27444i
\(821\) 10.1630 15.6496i 0.354691 0.546176i −0.615618 0.788045i \(-0.711094\pi\)
0.970309 + 0.241868i \(0.0777602\pi\)
\(822\) −1.51733 + 0.322519i −0.0529230 + 0.0112491i
\(823\) 37.8857 + 27.5256i 1.32061 + 0.959480i 0.999924 + 0.0122952i \(0.00391378\pi\)
0.320687 + 0.947185i \(0.396086\pi\)
\(824\) −1.33682 + 25.5080i −0.0465702 + 0.888612i
\(825\) −2.10754 + 4.13628i −0.0733751 + 0.144007i
\(826\) −10.7576 + 4.12946i −0.374305 + 0.143682i
\(827\) −7.48386 11.5241i −0.260239 0.400733i 0.684264 0.729234i \(-0.260123\pi\)
−0.944504 + 0.328501i \(0.893457\pi\)
\(828\) 10.9545 + 1.15137i 0.380696 + 0.0400128i
\(829\) −3.90204 + 37.1254i −0.135523 + 1.28942i 0.689485 + 0.724300i \(0.257837\pi\)
−0.825009 + 0.565120i \(0.808830\pi\)
\(830\) −20.6674 + 25.5221i −0.717375 + 0.885884i
\(831\) −2.20470 + 1.27288i −0.0764802 + 0.0441558i
\(832\) 4.69367 + 0.240445i 0.162724 + 0.00833592i
\(833\) −1.63285 2.24743i −0.0565749 0.0778687i
\(834\) 0.00372648 0.0711054i 0.000129037 0.00246218i
\(835\) 29.9202 + 26.9403i 1.03543 + 0.932308i
\(836\) 11.9091 20.6272i 0.411886 0.713407i
\(837\) −0.960046 + 4.31388i −0.0331841 + 0.149110i
\(838\) 9.07399 2.43137i 0.313456 0.0839902i
\(839\) 29.3369 19.0516i 1.01282 0.657734i 0.0722701 0.997385i \(-0.476976\pi\)
0.940552 + 0.339651i \(0.110309\pi\)
\(840\) 1.48836 + 0.966552i 0.0513533 + 0.0333492i
\(841\) 5.48643 + 52.1999i 0.189187 + 1.80000i
\(842\) 21.0092i 0.724026i
\(843\) −0.417799 + 0.111949i −0.0143898 + 0.00385572i
\(844\) 10.7992 24.2554i 0.371724 0.834905i
\(845\) 46.5909 + 23.6013i 1.60278 + 0.811908i
\(846\) −3.99002 + 1.77647i −0.137180 + 0.0610763i
\(847\) 0.705123 1.38388i 0.0242283 0.0475507i
\(848\) −7.60727 10.4705i −0.261235 0.359559i
\(849\) 0.209787 + 0.645659i 0.00719989 + 0.0221590i
\(850\) 4.16559 + 0.218309i 0.142879 + 0.00748795i
\(851\) −0.621073 3.92130i −0.0212901 0.134420i
\(852\) 0.0527088 1.00574i 0.00180577 0.0344562i
\(853\) 8.04332 + 15.7859i 0.275398 + 0.540499i 0.986732 0.162355i \(-0.0519089\pi\)
−0.711335 + 0.702854i \(0.751909\pi\)
\(854\) −3.23088 + 4.44693i −0.110558 + 0.152171i
\(855\) 56.7990 + 18.4551i 1.94248 + 0.631152i
\(856\) −8.52718 + 5.53762i −0.291453 + 0.189272i
\(857\) −30.1556 + 3.16948i −1.03009 + 0.108267i −0.604466 0.796631i \(-0.706614\pi\)
−0.425628 + 0.904898i \(0.639947\pi\)
\(858\) 1.00354 0.270163i 0.0342602 0.00922322i
\(859\) 21.7670 + 48.8896i 0.742682 + 1.66809i 0.744078 + 0.668092i \(0.232889\pi\)
−0.00139633 + 0.999999i \(0.500444\pi\)
\(860\) −28.4249 35.1018i −0.969280 1.19696i
\(861\) 1.08265 0.113791i 0.0368967 0.00387800i
\(862\) 8.88179i 0.302515i
\(863\) 7.27859 + 27.1641i 0.247766 + 0.924675i 0.971973 + 0.235093i \(0.0755393\pi\)
−0.724207 + 0.689583i \(0.757794\pi\)
\(864\) −3.58471 2.90284i −0.121954 0.0987567i
\(865\) 0.0308779 + 0.0606012i 0.00104988 + 0.00206050i
\(866\) 2.07886 4.07999i 0.0706425 0.138644i
\(867\) −1.91972 1.10835i −0.0651971 0.0376416i
\(868\) 9.06728 7.20041i 0.307764 0.244398i
\(869\) 2.97156 + 0.796226i 0.100803 + 0.0270101i
\(870\) −3.16553 + 1.02854i −0.107321 + 0.0348709i
\(871\) −19.0259 42.5977i −0.644666 1.44337i
\(872\) −20.1592 + 14.6465i −0.682678 + 0.495994i
\(873\) 9.30858 + 9.30858i 0.315048 + 0.315048i
\(874\) −7.24776 4.18450i −0.245159 0.141543i
\(875\) 19.8183 + 27.2775i 0.669980 + 0.922148i
\(876\) −0.166156 1.04907i −0.00561390 0.0354448i
\(877\) 21.4803 17.3944i 0.725339 0.587368i −0.193922 0.981017i \(-0.562121\pi\)
0.919261 + 0.393649i \(0.128787\pi\)
\(878\) −0.286358 5.46404i −0.00966412 0.184402i
\(879\) −0.697902 + 0.861837i −0.0235396 + 0.0290690i
\(880\) −16.2973 + 5.29532i −0.549383 + 0.178505i
\(881\) −11.5231 + 35.4645i −0.388224 + 1.19483i 0.545891 + 0.837856i \(0.316191\pi\)
−0.934115 + 0.356973i \(0.883809\pi\)
\(882\) 3.79409 9.88393i 0.127754 0.332809i
\(883\) −5.25701 + 16.1794i −0.176912 + 0.544480i −0.999716 0.0238459i \(-0.992409\pi\)
0.822803 + 0.568326i \(0.192409\pi\)
\(884\) 1.87153 + 2.30559i 0.0629464 + 0.0775455i
\(885\) −6.46140 0.679121i −0.217198 0.0228284i
\(886\) −19.8421 + 10.1100i −0.666608 + 0.339654i
\(887\) −5.31009 1.12869i −0.178295 0.0378979i 0.117899 0.993026i \(-0.462384\pi\)
−0.296194 + 0.955128i \(0.595718\pi\)
\(888\) −0.215009 + 0.482919i −0.00721524 + 0.0162057i
\(889\) −0.669688 + 0.434901i −0.0224606 + 0.0145861i
\(890\) −28.1083 34.7108i −0.942192 1.16351i
\(891\) 25.9247 + 9.95156i 0.868510 + 0.333390i
\(892\) −13.9266 36.2800i −0.466296 1.21474i
\(893\) −10.5527 −0.353132
\(894\) 1.45021 0.0485023
\(895\) −30.3665 79.1073i −1.01504 2.64427i
\(896\) 3.04647 + 14.3325i 0.101775 + 0.478815i
\(897\) 0.301866 + 1.12130i 0.0100790 + 0.0374391i
\(898\) 11.3463i 0.378629i
\(899\) −0.479478 + 50.2581i −0.0159915 + 1.67620i
\(900\) −25.2765 43.7802i −0.842551 1.45934i
\(901\) −1.07250 + 5.04572i −0.0357302 + 0.168097i
\(902\) 7.10280 10.9374i 0.236497 0.364174i
\(903\) −0.843258 + 1.04134i −0.0280619 + 0.0346535i
\(904\) −24.9394 6.68250i −0.829474 0.222257i
\(905\) −0.972455 + 3.62925i −0.0323255 + 0.120640i
\(906\) 1.56509 1.13710i 0.0519965 0.0377777i
\(907\) 5.06933 + 0.532808i 0.168324 + 0.0176916i 0.188316 0.982109i \(-0.439697\pi\)
−0.0199913 + 0.999800i \(0.506364\pi\)
\(908\) −19.2689 + 3.05190i −0.639462 + 0.101281i
\(909\) 7.94101 37.3595i 0.263387 1.23914i
\(910\) 2.83149 13.3986i 0.0938629 0.444160i
\(911\) −8.22565 7.40641i −0.272528 0.245385i 0.521522 0.853238i \(-0.325364\pi\)
−0.794050 + 0.607853i \(0.792031\pi\)
\(912\) −0.407758 0.800269i −0.0135022 0.0264996i
\(913\) −33.9060 + 15.0959i −1.12212 + 0.499602i
\(914\) 9.23750 + 10.2593i 0.305549 + 0.339347i
\(915\) −2.76141 + 1.40701i −0.0912894 + 0.0465143i
\(916\) −5.50198 + 0.871428i −0.181790 + 0.0287928i
\(917\) 13.6873 21.0766i 0.451995 0.696012i
\(918\) 0.0155545 + 0.296797i 0.000513374 + 0.00979576i
\(919\) 17.0780 + 7.60362i 0.563351 + 0.250820i 0.668596 0.743626i \(-0.266896\pi\)
−0.105244 + 0.994446i \(0.533562\pi\)
\(920\) 7.34062 + 22.5921i 0.242013 + 0.744840i
\(921\) −0.242745 1.53263i −0.00799873 0.0505020i
\(922\) 7.33877 + 5.33193i 0.241689 + 0.175598i
\(923\) −17.1003 + 5.57850i −0.562865 + 0.183619i
\(924\) 0.433280 + 0.750462i 0.0142539 + 0.0246884i
\(925\) −12.8844 + 12.8844i −0.423635 + 0.423635i
\(926\) 6.73308 15.1227i 0.221263 0.496964i
\(927\) −29.7429 9.66407i −0.976886 0.317410i
\(928\) −46.7405 23.8155i −1.53433 0.781782i
\(929\) −6.35465 23.7159i −0.208489 0.778093i −0.988358 0.152149i \(-0.951381\pi\)
0.779868 0.625944i \(-0.215286\pi\)
\(930\) −2.01205 + 0.407653i −0.0659779 + 0.0133675i
\(931\) 18.0876 18.0876i 0.592798 0.592798i
\(932\) −6.21711 1.32149i −0.203648 0.0432868i
\(933\) −0.449320 0.499020i −0.0147101 0.0163372i
\(934\) 14.2965 5.48792i 0.467797 0.179570i
\(935\) 5.91492 + 3.41498i 0.193439 + 0.111682i
\(936\) −8.06495 + 24.9212i −0.263611 + 0.814573i
\(937\) −14.5806 6.49168i −0.476326 0.212074i 0.154508 0.987991i \(-0.450621\pi\)
−0.630834 + 0.775917i \(0.717287\pi\)
\(938\) −9.50679 + 7.69845i −0.310408 + 0.251363i
\(939\) −0.937613 0.681215i −0.0305978 0.0222306i
\(940\) 9.61751 + 8.65964i 0.313689 + 0.282446i
\(941\) −37.7647 30.5813i −1.23109 0.996921i −0.999711 0.0240579i \(-0.992341\pi\)
−0.231384 0.972863i \(-0.574325\pi\)
\(942\) 0.205305 + 0.104608i 0.00668920 + 0.00340832i
\(943\) 12.2208 + 7.93630i 0.397965 + 0.258441i
\(944\) −10.4172 12.8642i −0.339052 0.418694i
\(945\) −3.23896 + 2.91638i −0.105364 + 0.0948697i
\(946\) 3.33744 + 15.7014i 0.108510 + 0.510497i
\(947\) 45.0964 + 17.3109i 1.46544 + 0.562528i 0.954795 0.297266i \(-0.0960748\pi\)
0.510641 + 0.859794i \(0.329408\pi\)
\(948\) 0.146955 0.132319i 0.00477288 0.00429752i
\(949\) −16.4173 + 9.50431i −0.532928 + 0.308523i
\(950\) 4.01491 + 38.1993i 0.130261 + 1.23935i
\(951\) 1.18758 + 0.605103i 0.0385100 + 0.0196218i
\(952\) 1.05928 1.45798i 0.0343315 0.0472533i
\(953\) 22.9323 10.2101i 0.742852 0.330739i −0.000175652 1.00000i \(-0.500056\pi\)
0.743027 + 0.669261i \(0.233389\pi\)
\(954\) −18.3536 + 7.04528i −0.594219 + 0.228099i
\(955\) 24.0408 + 24.0408i 0.777942 + 0.777942i
\(956\) −9.53254 + 35.5759i −0.308305 + 1.15061i
\(957\) −3.71529 0.588444i −0.120098 0.0190217i
\(958\) 6.13889 18.8936i 0.198338 0.610423i
\(959\) −15.4575 + 17.1673i −0.499150 + 0.554362i
\(960\) 0.179834 0.671151i 0.00580413 0.0216613i
\(961\) −3.82800 + 30.7627i −0.123484 + 0.992347i
\(962\) 4.07386 + 0.208693i 0.131347 + 0.00672855i
\(963\) −3.84683 11.8393i −0.123962 0.381517i
\(964\) −3.54568 0.185821i −0.114199 0.00598490i
\(965\) 4.37516 + 1.94795i 0.140841 + 0.0627066i
\(966\) 0.263689 0.152241i 0.00848406 0.00489828i
\(967\) 27.2811 + 7.30995i 0.877301 + 0.235072i 0.669242 0.743044i \(-0.266619\pi\)
0.208059 + 0.978116i \(0.433285\pi\)
\(968\) −2.73405 0.433031i −0.0878756 0.0139181i
\(969\) −0.128290 + 0.334207i −0.00412127 + 0.0107363i
\(970\) −4.39590 + 11.4517i −0.141144 + 0.367692i
\(971\) −5.82210 + 6.46609i −0.186840 + 0.207507i −0.829286 0.558824i \(-0.811253\pi\)
0.642446 + 0.766331i \(0.277920\pi\)
\(972\) 4.37527 3.17882i 0.140337 0.101961i
\(973\) −0.577512 0.889290i −0.0185142 0.0285093i
\(974\) −11.7592 13.0599i −0.376789 0.418466i
\(975\) 3.34906 4.14571i 0.107256 0.132769i
\(976\) −7.50973 2.44006i −0.240381 0.0781044i
\(977\) −20.9202 13.5857i −0.669297 0.434646i 0.164754 0.986335i \(-0.447317\pi\)
−0.834050 + 0.551688i \(0.813984\pi\)
\(978\) 0.587284 + 1.31906i 0.0187793 + 0.0421790i
\(979\) −10.4948 49.3741i −0.335415 1.57800i
\(980\) −31.3276 + 1.64181i −1.00072 + 0.0524457i
\(981\) −10.9333 28.4822i −0.349074 0.909368i
\(982\) 12.5074 0.655484i 0.399127 0.0209173i
\(983\) 56.3143 + 21.6170i 1.79615 + 0.689476i 0.995968 + 0.0897138i \(0.0285952\pi\)
0.800178 + 0.599762i \(0.204738\pi\)
\(984\) −0.789145 1.77245i −0.0251570 0.0565036i
\(985\) −11.0778 105.398i −0.352968 3.35827i
\(986\) 0.874807 + 3.26482i 0.0278595 + 0.103973i
\(987\) 0.191965 0.332493i 0.00611030 0.0105834i
\(988\) −18.2728 + 20.3421i −0.581336 + 0.647170i
\(989\) −17.5439 + 3.72908i −0.557865 + 0.118578i
\(990\) 1.36229 + 25.9940i 0.0432963 + 0.826143i
\(991\) −50.1475 + 28.9527i −1.59299 + 0.919712i −0.600198 + 0.799851i \(0.704912\pi\)
−0.992791 + 0.119861i \(0.961755\pi\)
\(992\) −26.9663 17.8801i −0.856180 0.567695i
\(993\) 0.476142 + 0.476142i 0.0151099 + 0.0151099i
\(994\) 2.56874 + 3.95552i 0.0814756 + 0.125461i
\(995\) 37.4591 19.0864i 1.18753 0.605079i
\(996\) −0.373207 + 2.35634i −0.0118255 + 0.0746634i
\(997\) −17.4489 30.2223i −0.552611 0.957151i −0.998085 0.0618560i \(-0.980298\pi\)
0.445474 0.895295i \(-0.353035\pi\)
\(998\) 9.72330 16.8412i 0.307786 0.533100i
\(999\) −1.00893 0.817019i −0.0319213 0.0258493i
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 403.2.cc.a.24.14 560
13.6 odd 12 403.2.ch.a.396.22 yes 560
31.22 odd 30 403.2.ch.a.115.22 yes 560
403.84 even 60 inner 403.2.cc.a.84.14 yes 560
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
403.2.cc.a.24.14 560 1.1 even 1 trivial
403.2.cc.a.84.14 yes 560 403.84 even 60 inner
403.2.ch.a.115.22 yes 560 31.22 odd 30
403.2.ch.a.396.22 yes 560 13.6 odd 12