Properties

Label 441.2.z.a.142.53
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 142.53
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.53

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.999259 - 2.54607i) q^{2} +(-0.421209 - 1.68005i) q^{3} +(-4.01786 - 3.72803i) q^{4} +(2.24814 - 1.08265i) q^{5} +(-4.69844 - 0.606381i) q^{6} +(1.30103 + 2.30376i) q^{7} +(-8.57815 + 4.13102i) q^{8} +(-2.64517 + 1.41531i) q^{9} +O(q^{10})\) \(q+(0.999259 - 2.54607i) q^{2} +(-0.421209 - 1.68005i) q^{3} +(-4.01786 - 3.72803i) q^{4} +(2.24814 - 1.08265i) q^{5} +(-4.69844 - 0.606381i) q^{6} +(1.30103 + 2.30376i) q^{7} +(-8.57815 + 4.13102i) q^{8} +(-2.64517 + 1.41531i) q^{9} +(-0.510021 - 6.80576i) q^{10} +(-1.80157 - 2.25910i) q^{11} +(-4.57093 + 8.32050i) q^{12} +(0.380963 - 0.970677i) q^{13} +(7.16561 - 1.01045i) q^{14} +(-2.76584 - 3.32097i) q^{15} +(1.12688 + 15.0372i) q^{16} +(2.08917 - 1.93847i) q^{17} +(0.960273 + 8.14904i) q^{18} +(-2.06219 + 3.57182i) q^{19} +(-13.0688 - 4.03120i) q^{20} +(3.32244 - 3.15617i) q^{21} +(-7.55206 + 2.32950i) q^{22} +(1.43238 - 6.27565i) q^{23} +(10.5535 + 12.6717i) q^{24} +(0.764550 - 0.958716i) q^{25} +(-2.09073 - 1.93992i) q^{26} +(3.49197 + 3.84788i) q^{27} +(3.36114 - 14.1065i) q^{28} +(8.99708 + 2.77523i) q^{29} +(-11.2192 + 3.72352i) q^{30} +(3.80863 - 6.59674i) q^{31} +(21.2158 + 6.54420i) q^{32} +(-3.03657 + 3.97829i) q^{33} +(-2.84786 - 7.25622i) q^{34} +(5.41905 + 3.77062i) q^{35} +(15.9042 + 4.17474i) q^{36} +(1.99989 + 0.616885i) q^{37} +(7.03344 + 8.81965i) q^{38} +(-1.79126 - 0.231180i) q^{39} +(-14.8124 + 18.5742i) q^{40} +(-5.51762 - 3.76185i) q^{41} +(-4.71584 - 11.6130i) q^{42} +(-0.626070 + 0.426847i) q^{43} +(-1.18352 + 15.7930i) q^{44} +(-4.41442 + 6.04559i) q^{45} +(-14.5469 - 9.91793i) q^{46} +(0.937634 - 2.38905i) q^{47} +(24.7887 - 8.22703i) q^{48} +(-3.61465 + 5.99452i) q^{49} +(-1.67698 - 2.90461i) q^{50} +(-4.13671 - 2.69342i) q^{51} +(-5.14936 + 2.47980i) q^{52} +(9.05602 - 2.79341i) q^{53} +(13.2864 - 5.04576i) q^{54} +(-6.49598 - 3.12830i) q^{55} +(-20.6773 - 14.3875i) q^{56} +(6.86946 + 1.96011i) q^{57} +(16.0564 - 20.1340i) q^{58} +(-11.5534 + 7.87697i) q^{59} +(-1.26792 + 23.6543i) q^{60} +(-1.81595 + 1.68495i) q^{61} +(-12.9900 - 16.2889i) q^{62} +(-6.70197 - 4.25248i) q^{63} +(19.0584 - 23.8985i) q^{64} +(-0.194443 - 2.59466i) q^{65} +(7.09469 + 11.7067i) q^{66} +(0.605218 - 1.04827i) q^{67} -15.6207 q^{68} +(-11.1468 + 0.236893i) q^{69} +(15.0153 - 10.0295i) q^{70} +(-1.92470 + 8.43266i) q^{71} +(16.8440 - 23.0680i) q^{72} +(-2.53828 - 0.382584i) q^{73} +(3.56904 - 4.47544i) q^{74} +(-1.93273 - 0.880666i) q^{75} +(21.6014 - 6.66315i) q^{76} +(2.86053 - 7.08954i) q^{77} +(-2.37853 + 4.32966i) q^{78} +(-1.42236 - 2.46361i) q^{79} +(18.8133 + 32.5857i) q^{80} +(4.99380 - 7.48745i) q^{81} +(-15.0915 + 10.2892i) q^{82} +(0.443784 + 1.13074i) q^{83} +(-25.1154 + 0.294869i) q^{84} +(2.59807 - 6.61978i) q^{85} +(0.461178 + 2.02055i) q^{86} +(0.872885 - 16.2845i) q^{87} +(24.7865 + 11.9366i) q^{88} +(3.75864 + 9.57686i) q^{89} +(10.9814 + 17.2805i) q^{90} +(2.73185 - 0.385231i) q^{91} +(-29.1509 + 19.8747i) q^{92} +(-12.6871 - 3.62009i) q^{93} +(-5.14576 - 4.77457i) q^{94} +(-0.769072 + 10.2626i) q^{95} +(2.05833 - 38.4001i) q^{96} +(-4.19882 + 7.27257i) q^{97} +(11.6505 + 15.1932i) q^{98} +(7.96278 + 3.42591i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.999259 2.54607i 0.706583 1.80034i 0.116193 0.993227i \(-0.462931\pi\)
0.590390 0.807118i \(-0.298974\pi\)
\(3\) −0.421209 1.68005i −0.243185 0.969980i
\(4\) −4.01786 3.72803i −2.00893 1.86401i
\(5\) 2.24814 1.08265i 1.00540 0.484174i 0.142631 0.989776i \(-0.454444\pi\)
0.862767 + 0.505602i \(0.168730\pi\)
\(6\) −4.69844 0.606381i −1.91813 0.247554i
\(7\) 1.30103 + 2.30376i 0.491743 + 0.870741i
\(8\) −8.57815 + 4.13102i −3.03283 + 1.46054i
\(9\) −2.64517 + 1.41531i −0.881722 + 0.471770i
\(10\) −0.510021 6.80576i −0.161283 2.15217i
\(11\) −1.80157 2.25910i −0.543194 0.681144i 0.432158 0.901798i \(-0.357752\pi\)
−0.975352 + 0.220654i \(0.929181\pi\)
\(12\) −4.57093 + 8.32050i −1.31951 + 2.40192i
\(13\) 0.380963 0.970677i 0.105660 0.269217i −0.868260 0.496110i \(-0.834761\pi\)
0.973920 + 0.226892i \(0.0728566\pi\)
\(14\) 7.16561 1.01045i 1.91509 0.270055i
\(15\) −2.76584 3.32097i −0.714137 0.857471i
\(16\) 1.12688 + 15.0372i 0.281721 + 3.75930i
\(17\) 2.08917 1.93847i 0.506699 0.470148i −0.384910 0.922954i \(-0.625768\pi\)
0.891609 + 0.452806i \(0.149577\pi\)
\(18\) 0.960273 + 8.14904i 0.226338 + 1.92075i
\(19\) −2.06219 + 3.57182i −0.473099 + 0.819431i −0.999526 0.0307893i \(-0.990198\pi\)
0.526427 + 0.850220i \(0.323531\pi\)
\(20\) −13.0688 4.03120i −2.92228 0.901404i
\(21\) 3.32244 3.15617i 0.725016 0.688732i
\(22\) −7.55206 + 2.32950i −1.61011 + 0.496652i
\(23\) 1.43238 6.27565i 0.298671 1.30856i −0.573437 0.819250i \(-0.694390\pi\)
0.872108 0.489313i \(-0.162753\pi\)
\(24\) 10.5535 + 12.6717i 2.15423 + 2.58661i
\(25\) 0.764550 0.958716i 0.152910 0.191743i
\(26\) −2.09073 1.93992i −0.410026 0.380449i
\(27\) 3.49197 + 3.84788i 0.672029 + 0.740525i
\(28\) 3.36114 14.1065i 0.635197 2.66587i
\(29\) 8.99708 + 2.77523i 1.67072 + 0.515347i 0.978483 0.206327i \(-0.0661511\pi\)
0.692232 + 0.721675i \(0.256627\pi\)
\(30\) −11.2192 + 3.72352i −2.04834 + 0.679818i
\(31\) 3.80863 6.59674i 0.684050 1.18481i −0.289685 0.957122i \(-0.593550\pi\)
0.973734 0.227687i \(-0.0731162\pi\)
\(32\) 21.2158 + 6.54420i 3.75045 + 1.15686i
\(33\) −3.03657 + 3.97829i −0.528599 + 0.692532i
\(34\) −2.84786 7.25622i −0.488403 1.24443i
\(35\) 5.41905 + 3.77062i 0.915987 + 0.637352i
\(36\) 15.9042 + 4.17474i 2.65070 + 0.695789i
\(37\) 1.99989 + 0.616885i 0.328780 + 0.101415i 0.454751 0.890619i \(-0.349728\pi\)
−0.125971 + 0.992034i \(0.540205\pi\)
\(38\) 7.03344 + 8.81965i 1.14097 + 1.43074i
\(39\) −1.79126 0.231180i −0.286830 0.0370184i
\(40\) −14.8124 + 18.5742i −2.34205 + 2.93684i
\(41\) −5.51762 3.76185i −0.861707 0.587502i 0.0498125 0.998759i \(-0.484138\pi\)
−0.911520 + 0.411257i \(0.865090\pi\)
\(42\) −4.71584 11.6130i −0.727670 1.79193i
\(43\) −0.626070 + 0.426847i −0.0954748 + 0.0650936i −0.610116 0.792312i \(-0.708877\pi\)
0.514642 + 0.857405i \(0.327925\pi\)
\(44\) −1.18352 + 15.7930i −0.178423 + 2.38089i
\(45\) −4.41442 + 6.04559i −0.658062 + 0.901223i
\(46\) −14.5469 9.91793i −2.14483 1.46232i
\(47\) 0.937634 2.38905i 0.136768 0.348479i −0.846037 0.533124i \(-0.821018\pi\)
0.982805 + 0.184644i \(0.0591133\pi\)
\(48\) 24.7887 8.22703i 3.57793 1.18747i
\(49\) −3.61465 + 5.99452i −0.516379 + 0.856360i
\(50\) −1.67698 2.90461i −0.237160 0.410773i
\(51\) −4.13671 2.69342i −0.579256 0.377155i
\(52\) −5.14936 + 2.47980i −0.714088 + 0.343887i
\(53\) 9.05602 2.79341i 1.24394 0.383704i 0.398199 0.917299i \(-0.369635\pi\)
0.845740 + 0.533595i \(0.179159\pi\)
\(54\) 13.2864 5.04576i 1.80804 0.686641i
\(55\) −6.49598 3.12830i −0.875918 0.421820i
\(56\) −20.6773 14.3875i −2.76312 1.92260i
\(57\) 6.86946 + 1.96011i 0.909882 + 0.259623i
\(58\) 16.0564 20.1340i 2.10830 2.64373i
\(59\) −11.5534 + 7.87697i −1.50412 + 1.02549i −0.518780 + 0.854908i \(0.673614\pi\)
−0.985343 + 0.170586i \(0.945434\pi\)
\(60\) −1.26792 + 23.6543i −0.163688 + 3.05376i
\(61\) −1.81595 + 1.68495i −0.232508 + 0.215736i −0.787819 0.615907i \(-0.788790\pi\)
0.555311 + 0.831643i \(0.312599\pi\)
\(62\) −12.9900 16.2889i −1.64973 2.06869i
\(63\) −6.70197 4.25248i −0.844369 0.535762i
\(64\) 19.0584 23.8985i 2.38230 2.98731i
\(65\) −0.194443 2.59466i −0.0241177 0.321828i
\(66\) 7.09469 + 11.7067i 0.873296 + 1.44099i
\(67\) 0.605218 1.04827i 0.0739391 0.128066i −0.826685 0.562665i \(-0.809776\pi\)
0.900624 + 0.434598i \(0.143110\pi\)
\(68\) −15.6207 −1.89428
\(69\) −11.1468 + 0.236893i −1.34191 + 0.0285186i
\(70\) 15.0153 10.0295i 1.79467 1.19875i
\(71\) −1.92470 + 8.43266i −0.228420 + 1.00077i 0.722508 + 0.691362i \(0.242989\pi\)
−0.950928 + 0.309411i \(0.899868\pi\)
\(72\) 16.8440 23.0680i 1.98508 2.71859i
\(73\) −2.53828 0.382584i −0.297083 0.0447780i −0.00119041 0.999999i \(-0.500379\pi\)
−0.295892 + 0.955221i \(0.595617\pi\)
\(74\) 3.56904 4.47544i 0.414893 0.520259i
\(75\) −1.93273 0.880666i −0.223173 0.101691i
\(76\) 21.6014 6.66315i 2.47785 0.764316i
\(77\) 2.86053 7.08954i 0.325988 0.807929i
\(78\) −2.37853 + 4.32966i −0.269315 + 0.490237i
\(79\) −1.42236 2.46361i −0.160028 0.277177i 0.774850 0.632145i \(-0.217825\pi\)
−0.934879 + 0.354968i \(0.884492\pi\)
\(80\) 18.8133 + 32.5857i 2.10340 + 3.64319i
\(81\) 4.99380 7.48745i 0.554866 0.831939i
\(82\) −15.0915 + 10.2892i −1.66657 + 1.13625i
\(83\) 0.443784 + 1.13074i 0.0487116 + 0.124115i 0.953159 0.302471i \(-0.0978114\pi\)
−0.904447 + 0.426586i \(0.859716\pi\)
\(84\) −25.1154 + 0.294869i −2.74031 + 0.0321729i
\(85\) 2.59807 6.61978i 0.281801 0.718016i
\(86\) 0.461178 + 2.02055i 0.0497301 + 0.217882i
\(87\) 0.872885 16.2845i 0.0935831 1.74589i
\(88\) 24.7865 + 11.9366i 2.64225 + 1.27244i
\(89\) 3.75864 + 9.57686i 0.398415 + 1.01515i 0.979525 + 0.201321i \(0.0645233\pi\)
−0.581110 + 0.813825i \(0.697381\pi\)
\(90\) 10.9814 + 17.2805i 1.15754 + 1.82153i
\(91\) 2.73185 0.385231i 0.286376 0.0403831i
\(92\) −29.1509 + 19.8747i −3.03919 + 2.07208i
\(93\) −12.6871 3.62009i −1.31559 0.375386i
\(94\) −5.14576 4.77457i −0.530745 0.492459i
\(95\) −0.769072 + 10.2626i −0.0789051 + 1.05292i
\(96\) 2.05833 38.4001i 0.210077 3.91919i
\(97\) −4.19882 + 7.27257i −0.426325 + 0.738417i −0.996543 0.0830763i \(-0.973525\pi\)
0.570218 + 0.821494i \(0.306859\pi\)
\(98\) 11.6505 + 15.1932i 1.17688 + 1.53475i
\(99\) 7.96278 + 3.42591i 0.800289 + 0.344317i
\(100\) −6.64597 + 1.00172i −0.664597 + 0.100172i
\(101\) 4.41280 2.12509i 0.439090 0.211455i −0.201260 0.979538i \(-0.564504\pi\)
0.640350 + 0.768083i \(0.278789\pi\)
\(102\) −10.9913 + 7.84094i −1.08830 + 0.776369i
\(103\) 7.15697 3.44662i 0.705197 0.339605i −0.0466783 0.998910i \(-0.514864\pi\)
0.751876 + 0.659305i \(0.229149\pi\)
\(104\) 0.741931 + 9.90038i 0.0727523 + 0.970812i
\(105\) 4.05230 10.6925i 0.395464 1.04348i
\(106\) 1.93709 25.8486i 0.188146 2.51064i
\(107\) 2.75228 + 7.01269i 0.266073 + 0.677942i 0.999999 0.00128689i \(-0.000409631\pi\)
−0.733927 + 0.679229i \(0.762314\pi\)
\(108\) 0.314780 28.4784i 0.0302897 2.74033i
\(109\) 4.82795 12.3014i 0.462434 1.17826i −0.489513 0.871996i \(-0.662825\pi\)
0.951946 0.306265i \(-0.0990795\pi\)
\(110\) −14.4560 + 13.4133i −1.37833 + 1.27890i
\(111\) 0.194027 3.61976i 0.0184162 0.343573i
\(112\) −33.1760 + 22.1599i −3.13484 + 2.09391i
\(113\) 14.3982 + 2.17017i 1.35446 + 0.204153i 0.785833 0.618439i \(-0.212235\pi\)
0.568632 + 0.822592i \(0.307473\pi\)
\(114\) 11.8549 15.5315i 1.11032 1.45466i
\(115\) −3.57413 15.6593i −0.333289 1.46023i
\(116\) −25.8028 44.6918i −2.39573 4.14953i
\(117\) 0.366099 + 3.10678i 0.0338459 + 0.287222i
\(118\) 8.51049 + 37.2869i 0.783454 + 3.43254i
\(119\) 7.18385 + 2.29096i 0.658542 + 0.210012i
\(120\) 37.4448 + 17.0621i 3.41823 + 1.55755i
\(121\) 0.589862 2.58435i 0.0536238 0.234941i
\(122\) 2.47541 + 6.30724i 0.224113 + 0.571031i
\(123\) −3.99604 + 10.8544i −0.360310 + 0.978710i
\(124\) −39.8953 + 12.3061i −3.58271 + 1.10512i
\(125\) −2.09536 + 9.18035i −0.187414 + 0.821116i
\(126\) −17.5241 + 12.8144i −1.56117 + 1.14160i
\(127\) 1.60253 + 7.02116i 0.142202 + 0.623027i 0.994921 + 0.100658i \(0.0320947\pi\)
−0.852719 + 0.522369i \(0.825048\pi\)
\(128\) −19.6008 33.9495i −1.73248 3.00074i
\(129\) 0.980834 + 0.872040i 0.0863576 + 0.0767788i
\(130\) −6.80050 2.09768i −0.596443 0.183978i
\(131\) −13.2570 6.38424i −1.15827 0.557794i −0.246762 0.969076i \(-0.579367\pi\)
−0.911508 + 0.411282i \(0.865081\pi\)
\(132\) 27.0317 4.66379i 2.35281 0.405931i
\(133\) −10.9116 0.103761i −0.946154 0.00899720i
\(134\) −2.06420 2.58842i −0.178319 0.223605i
\(135\) 12.0163 + 4.87000i 1.03420 + 0.419143i
\(136\) −9.91339 + 25.2589i −0.850066 + 2.16593i
\(137\) 4.22856 + 2.03637i 0.361270 + 0.173979i 0.605709 0.795686i \(-0.292889\pi\)
−0.244439 + 0.969665i \(0.578604\pi\)
\(138\) −10.5354 + 28.6172i −0.896829 + 2.43605i
\(139\) −3.52868 2.40581i −0.299299 0.204058i 0.404354 0.914603i \(-0.367496\pi\)
−0.703652 + 0.710544i \(0.748449\pi\)
\(140\) −7.71599 35.3522i −0.652120 2.98781i
\(141\) −4.40868 0.568985i −0.371278 0.0479172i
\(142\) 19.5469 + 13.3268i 1.64034 + 1.11836i
\(143\) −2.87919 + 0.888111i −0.240770 + 0.0742676i
\(144\) −24.2631 38.1810i −2.02192 3.18175i
\(145\) 23.2313 3.50155i 1.92925 0.290788i
\(146\) −3.51048 + 6.08034i −0.290530 + 0.503212i
\(147\) 11.5936 + 3.54786i 0.956228 + 0.292622i
\(148\) −5.73552 9.93421i −0.471457 0.816587i
\(149\) 11.1363 + 13.9644i 0.912317 + 1.14401i 0.989142 + 0.146965i \(0.0469505\pi\)
−0.0768245 + 0.997045i \(0.524478\pi\)
\(150\) −4.17354 + 4.04086i −0.340768 + 0.329935i
\(151\) −1.55328 + 6.80535i −0.126404 + 0.553812i 0.871575 + 0.490263i \(0.163099\pi\)
−0.997979 + 0.0635491i \(0.979758\pi\)
\(152\) 2.93453 39.1585i 0.238021 3.17618i
\(153\) −2.78267 + 8.08440i −0.224966 + 0.653585i
\(154\) −15.1921 14.3674i −1.22421 1.15776i
\(155\) 1.42039 18.9538i 0.114088 1.52240i
\(156\) 6.33516 + 7.60670i 0.507219 + 0.609023i
\(157\) −0.542978 + 0.370196i −0.0433343 + 0.0295449i −0.584794 0.811182i \(-0.698824\pi\)
0.541459 + 0.840727i \(0.317872\pi\)
\(158\) −7.69383 + 1.15966i −0.612088 + 0.0922574i
\(159\) −8.50756 14.0380i −0.674693 1.11328i
\(160\) 54.7810 8.25691i 4.33082 0.652766i
\(161\) 16.3212 4.86494i 1.28629 0.383411i
\(162\) −14.0735 20.1965i −1.10572 1.58679i
\(163\) −18.3646 + 12.5208i −1.43843 + 0.980704i −0.441933 + 0.897048i \(0.645707\pi\)
−0.996495 + 0.0836557i \(0.973340\pi\)
\(164\) 8.14473 + 35.6844i 0.635997 + 2.78648i
\(165\) −2.51955 + 12.2313i −0.196146 + 0.952203i
\(166\) 3.32241 0.257869
\(167\) 8.22738 7.63390i 0.636654 0.590729i −0.294368 0.955692i \(-0.595109\pi\)
0.931022 + 0.364964i \(0.118919\pi\)
\(168\) −15.4622 + 40.7991i −1.19294 + 3.14772i
\(169\) 8.73259 + 8.10266i 0.671738 + 0.623282i
\(170\) −14.2583 13.2298i −1.09356 1.01468i
\(171\) 0.399606 12.3667i 0.0305586 0.945704i
\(172\) 4.10676 + 0.618994i 0.313137 + 0.0471979i
\(173\) 6.71284 2.07064i 0.510368 0.157428i −0.0288665 0.999583i \(-0.509190\pi\)
0.539235 + 0.842156i \(0.318714\pi\)
\(174\) −40.5894 18.4949i −3.07707 1.40209i
\(175\) 3.20336 + 0.514026i 0.242151 + 0.0388567i
\(176\) 31.9404 29.6363i 2.40760 2.23392i
\(177\) 18.1001 + 16.0925i 1.36049 + 1.20958i
\(178\) 28.1392 2.10912
\(179\) 9.38257 8.70575i 0.701286 0.650699i −0.246670 0.969100i \(-0.579336\pi\)
0.947956 + 0.318401i \(0.103146\pi\)
\(180\) 40.2746 7.83325i 3.00189 0.583856i
\(181\) 5.60032 7.02257i 0.416268 0.521984i −0.528849 0.848716i \(-0.677376\pi\)
0.945117 + 0.326732i \(0.105948\pi\)
\(182\) 1.74901 7.34044i 0.129645 0.544110i
\(183\) 3.59571 + 2.34117i 0.265803 + 0.173065i
\(184\) 13.6377 + 59.7506i 1.00538 + 4.40487i
\(185\) 5.16390 0.778333i 0.379657 0.0572242i
\(186\) −21.8947 + 28.6849i −1.60540 + 2.10328i
\(187\) −8.14299 1.22736i −0.595474 0.0897533i
\(188\) −12.6737 + 6.10335i −0.924327 + 0.445132i
\(189\) −4.32146 + 13.0509i −0.314340 + 0.949311i
\(190\) 25.3607 + 12.2131i 1.83986 + 0.886029i
\(191\) −3.50814 2.39181i −0.253840 0.173065i 0.429714 0.902965i \(-0.358614\pi\)
−0.683554 + 0.729900i \(0.739567\pi\)
\(192\) −48.1783 21.9529i −3.47697 1.58431i
\(193\) −0.963018 + 12.8506i −0.0693196 + 0.925005i 0.848803 + 0.528709i \(0.177324\pi\)
−0.918123 + 0.396296i \(0.870295\pi\)
\(194\) 14.3208 + 17.9577i 1.02817 + 1.28929i
\(195\) −4.27727 + 1.41957i −0.306302 + 0.101658i
\(196\) 36.8709 10.6096i 2.63364 0.757830i
\(197\) 4.25401 0.303086 0.151543 0.988451i \(-0.451576\pi\)
0.151543 + 0.988451i \(0.451576\pi\)
\(198\) 16.6795 16.8504i 1.18536 1.19751i
\(199\) −9.31747 6.35255i −0.660498 0.450320i 0.186116 0.982528i \(-0.440410\pi\)
−0.846614 + 0.532208i \(0.821362\pi\)
\(200\) −2.59795 + 11.3824i −0.183703 + 0.804856i
\(201\) −2.01607 0.575259i −0.142203 0.0405756i
\(202\) −1.00111 13.3588i −0.0704376 0.939925i
\(203\) 5.31198 + 24.3378i 0.372828 + 1.70818i
\(204\) 6.57957 + 26.2436i 0.460662 + 1.83742i
\(205\) −16.4771 2.48352i −1.15081 0.173457i
\(206\) −1.62366 21.6662i −0.113126 1.50956i
\(207\) 5.09311 + 18.6274i 0.353996 + 1.29469i
\(208\) 15.0256 + 4.63477i 1.04184 + 0.321364i
\(209\) 11.7843 1.77619i 0.815135 0.122862i
\(210\) −23.1746 21.0020i −1.59920 1.44928i
\(211\) −20.8491 3.14250i −1.43531 0.216338i −0.615123 0.788431i \(-0.710894\pi\)
−0.820189 + 0.572093i \(0.806132\pi\)
\(212\) −46.7997 22.5375i −3.21422 1.54788i
\(213\) 14.9780 0.318316i 1.02628 0.0218107i
\(214\) 20.6050 1.40853
\(215\) −0.945367 + 1.63742i −0.0644735 + 0.111671i
\(216\) −45.8503 18.5823i −3.11972 1.26437i
\(217\) 20.1524 + 0.191634i 1.36804 + 0.0130090i
\(218\) −26.4959 24.5846i −1.79453 1.66508i
\(219\) 0.426385 + 4.42559i 0.0288124 + 0.299054i
\(220\) 14.4375 + 36.7863i 0.973379 + 2.48013i
\(221\) −1.08573 2.76640i −0.0730342 0.186088i
\(222\) −9.02230 4.11109i −0.605537 0.275918i
\(223\) 8.20649 + 7.61451i 0.549547 + 0.509905i 0.905356 0.424654i \(-0.139604\pi\)
−0.355809 + 0.934559i \(0.615795\pi\)
\(224\) 12.5260 + 57.3903i 0.836931 + 3.83455i
\(225\) −0.665483 + 3.61804i −0.0443655 + 0.241202i
\(226\) 19.9129 34.4902i 1.32459 2.29425i
\(227\) −25.9366 −1.72148 −0.860738 0.509049i \(-0.829997\pi\)
−0.860738 + 0.509049i \(0.829997\pi\)
\(228\) −20.2932 33.4850i −1.34395 2.21760i
\(229\) −2.55763 1.23169i −0.169013 0.0813925i 0.347464 0.937693i \(-0.387043\pi\)
−0.516478 + 0.856301i \(0.672757\pi\)
\(230\) −43.4411 6.54769i −2.86442 0.431742i
\(231\) −13.1157 1.81967i −0.862950 0.119725i
\(232\) −88.6428 + 13.3608i −5.81969 + 0.877177i
\(233\) −4.93208 1.52135i −0.323111 0.0996666i 0.128956 0.991650i \(-0.458837\pi\)
−0.452068 + 0.891984i \(0.649313\pi\)
\(234\) 8.27592 + 2.17237i 0.541014 + 0.142012i
\(235\) −0.478568 6.38604i −0.0312183 0.416580i
\(236\) 75.7854 + 11.4228i 4.93321 + 0.743562i
\(237\) −3.53988 + 3.42734i −0.229940 + 0.222630i
\(238\) 13.0115 16.0013i 0.843408 1.03721i
\(239\) −0.476873 6.36343i −0.0308464 0.411616i −0.991158 0.132687i \(-0.957640\pi\)
0.960312 0.278929i \(-0.0899795\pi\)
\(240\) 46.8213 45.3328i 3.02230 2.92622i
\(241\) 0.248196 1.08742i 0.0159877 0.0700467i −0.966305 0.257401i \(-0.917134\pi\)
0.982292 + 0.187354i \(0.0599911\pi\)
\(242\) −5.99053 4.08427i −0.385086 0.262547i
\(243\) −14.6828 5.23607i −0.941900 0.335894i
\(244\) 13.5778 0.869229
\(245\) −1.63628 + 17.3899i −0.104538 + 1.11100i
\(246\) 23.6431 + 21.0206i 1.50743 + 1.34022i
\(247\) 2.68146 + 3.36245i 0.170617 + 0.213947i
\(248\) −5.41973 + 72.3213i −0.344153 + 4.59241i
\(249\) 1.71278 1.22186i 0.108543 0.0774323i
\(250\) 21.2800 + 14.5085i 1.34587 + 0.917597i
\(251\) 25.6020 + 12.3293i 1.61598 + 0.778216i 0.999955 0.00950919i \(-0.00302691\pi\)
0.616027 + 0.787725i \(0.288741\pi\)
\(252\) 11.0742 + 42.0710i 0.697611 + 2.65022i
\(253\) −16.7578 + 8.07015i −1.05356 + 0.507366i
\(254\) 19.4777 + 2.93579i 1.22214 + 0.184208i
\(255\) −12.2159 1.57659i −0.764991 0.0987298i
\(256\) −45.5725 + 6.86894i −2.84828 + 0.429309i
\(257\) 2.57679 + 11.2896i 0.160736 + 0.704229i 0.989488 + 0.144614i \(0.0461939\pi\)
−0.828753 + 0.559615i \(0.810949\pi\)
\(258\) 3.20038 1.62588i 0.199247 0.101223i
\(259\) 1.18076 + 5.40986i 0.0733688 + 0.336152i
\(260\) −8.89173 + 11.1499i −0.551442 + 0.691486i
\(261\) −27.7266 + 5.39271i −1.71623 + 0.333800i
\(262\) −29.5019 + 27.3738i −1.82264 + 1.69116i
\(263\) 11.3737 0.701332 0.350666 0.936500i \(-0.385955\pi\)
0.350666 + 0.936500i \(0.385955\pi\)
\(264\) 9.61376 46.6705i 0.591686 2.87237i
\(265\) 17.3349 16.0844i 1.06487 0.988059i
\(266\) −11.1677 + 27.6780i −0.684735 + 1.69705i
\(267\) 14.5065 10.3486i 0.887782 0.633323i
\(268\) −6.33965 + 1.95552i −0.387256 + 0.119453i
\(269\) −9.02388 1.36013i −0.550196 0.0829287i −0.131940 0.991258i \(-0.542120\pi\)
−0.418256 + 0.908329i \(0.637359\pi\)
\(270\) 24.4068 25.7280i 1.48535 1.56576i
\(271\) 6.10452 + 5.66416i 0.370823 + 0.344074i 0.843468 0.537179i \(-0.180510\pi\)
−0.472645 + 0.881253i \(0.656701\pi\)
\(272\) 31.5034 + 29.2309i 1.91017 + 1.77238i
\(273\) −1.79789 4.42740i −0.108813 0.267958i
\(274\) 9.41016 8.73136i 0.568489 0.527481i
\(275\) −3.54323 −0.213665
\(276\) 45.6692 + 40.6036i 2.74896 + 2.44405i
\(277\) −4.85367 21.2653i −0.291629 1.27771i −0.882258 0.470765i \(-0.843978\pi\)
0.590630 0.806943i \(-0.298879\pi\)
\(278\) −9.65143 + 6.58024i −0.578854 + 0.394656i
\(279\) −0.738026 + 22.8398i −0.0441844 + 1.36739i
\(280\) −62.0620 9.95877i −3.70891 0.595150i
\(281\) 10.6219 1.60099i 0.633649 0.0955072i 0.175639 0.984455i \(-0.443801\pi\)
0.458009 + 0.888947i \(0.348563\pi\)
\(282\) −5.85409 + 10.6562i −0.348606 + 0.634570i
\(283\) 6.68373 1.00741i 0.397306 0.0598843i 0.0526496 0.998613i \(-0.483233\pi\)
0.344657 + 0.938729i \(0.387995\pi\)
\(284\) 39.1704 26.7059i 2.32433 1.58470i
\(285\) 17.5656 3.03060i 1.04050 0.179517i
\(286\) −0.615859 + 8.21807i −0.0364165 + 0.485945i
\(287\) 1.48783 17.6056i 0.0878238 1.03922i
\(288\) −65.3813 + 12.7164i −3.85263 + 0.749320i
\(289\) −0.663431 + 8.85287i −0.0390253 + 0.520757i
\(290\) 14.2989 62.6474i 0.839658 3.67878i
\(291\) 13.9869 + 3.99097i 0.819926 + 0.233955i
\(292\) 8.77215 + 10.9999i 0.513352 + 0.643722i
\(293\) −8.50630 14.7333i −0.496943 0.860731i 0.503051 0.864257i \(-0.332211\pi\)
−0.999994 + 0.00352625i \(0.998878\pi\)
\(294\) 20.6182 25.9730i 1.20248 1.51478i
\(295\) −17.4456 + 30.2167i −1.01572 + 1.75929i
\(296\) −19.7037 + 2.96986i −1.14526 + 0.172620i
\(297\) 2.40172 14.8209i 0.139362 0.859997i
\(298\) 46.6824 14.3996i 2.70424 0.834147i
\(299\) −5.54595 3.78116i −0.320730 0.218670i
\(300\) 4.48229 + 10.7437i 0.258785 + 0.620286i
\(301\) −1.79789 0.886977i −0.103629 0.0511245i
\(302\) 15.7748 + 10.7551i 0.907737 + 0.618885i
\(303\) −5.42899 6.51864i −0.311887 0.374486i
\(304\) −56.0340 26.9845i −3.21377 1.54767i
\(305\) −2.25829 + 5.75404i −0.129310 + 0.329475i
\(306\) 17.8028 + 15.1633i 1.01772 + 0.866828i
\(307\) −10.5347 13.2102i −0.601250 0.753943i 0.384323 0.923199i \(-0.374435\pi\)
−0.985572 + 0.169256i \(0.945864\pi\)
\(308\) −37.9232 + 17.8206i −2.16088 + 1.01542i
\(309\) −8.80509 10.5724i −0.500904 0.601440i
\(310\) −46.8383 22.5561i −2.66024 1.28110i
\(311\) −3.72725 1.14970i −0.211353 0.0651937i 0.187271 0.982308i \(-0.440036\pi\)
−0.398624 + 0.917115i \(0.630512\pi\)
\(312\) 16.3207 5.41662i 0.923976 0.306656i
\(313\) 2.07024 + 3.58576i 0.117017 + 0.202679i 0.918584 0.395225i \(-0.129334\pi\)
−0.801567 + 0.597904i \(0.796000\pi\)
\(314\) 0.399970 + 1.75238i 0.0225716 + 0.0988927i
\(315\) −19.6709 2.30429i −1.10833 0.129832i
\(316\) −3.46954 + 15.2010i −0.195177 + 0.855125i
\(317\) −23.2000 + 7.15624i −1.30304 + 0.401935i −0.867142 0.498062i \(-0.834045\pi\)
−0.435898 + 0.899996i \(0.643569\pi\)
\(318\) −44.2430 + 7.63327i −2.48102 + 0.428052i
\(319\) −9.93935 25.3251i −0.556497 1.41793i
\(320\) 16.9723 74.3605i 0.948780 4.15688i
\(321\) 10.6224 7.57778i 0.592885 0.422951i
\(322\) 3.92259 46.4162i 0.218597 2.58667i
\(323\) 2.61559 + 11.4596i 0.145535 + 0.637631i
\(324\) −47.9778 + 11.4665i −2.66543 + 0.637028i
\(325\) −0.639338 1.10737i −0.0354641 0.0614256i
\(326\) 13.5278 + 59.2692i 0.749235 + 3.28261i
\(327\) −22.7006 2.92974i −1.25535 0.162015i
\(328\) 62.8712 + 9.47631i 3.47148 + 0.523242i
\(329\) 6.72370 0.948139i 0.370690 0.0522726i
\(330\) 28.6240 + 18.6372i 1.57570 + 1.02594i
\(331\) −18.4981 + 17.1637i −1.01675 + 0.943403i −0.998407 0.0564288i \(-0.982029\pi\)
−0.0183400 + 0.999832i \(0.505838\pi\)
\(332\) 2.43238 6.19761i 0.133494 0.340138i
\(333\) −6.16313 + 1.19870i −0.337737 + 0.0656885i
\(334\) −11.2152 28.5758i −0.613666 1.56360i
\(335\) 0.225710 3.01189i 0.0123318 0.164557i
\(336\) 51.2039 + 46.4036i 2.79340 + 2.53152i
\(337\) 0.585824 + 7.81728i 0.0319119 + 0.425834i 0.990164 + 0.139910i \(0.0446814\pi\)
−0.958252 + 0.285924i \(0.907700\pi\)
\(338\) 29.3561 14.1371i 1.59676 0.768959i
\(339\) −2.41863 25.1038i −0.131362 1.36345i
\(340\) −35.1174 + 16.9117i −1.90451 + 0.917163i
\(341\) −21.7642 + 3.28042i −1.17860 + 0.177645i
\(342\) −31.0871 13.3749i −1.68100 0.723234i
\(343\) −18.5127 0.528253i −0.999593 0.0285230i
\(344\) 3.60721 6.24787i 0.194488 0.336863i
\(345\) −24.8030 + 12.6006i −1.33535 + 0.678391i
\(346\) 1.43588 19.1605i 0.0771934 1.03007i
\(347\) −13.7119 12.7228i −0.736095 0.682997i 0.220182 0.975459i \(-0.429335\pi\)
−0.956277 + 0.292462i \(0.905525\pi\)
\(348\) −64.2163 + 62.1748i −3.44236 + 3.33292i
\(349\) −20.0198 + 13.6493i −1.07164 + 0.730628i −0.964624 0.263629i \(-0.915080\pi\)
−0.107011 + 0.994258i \(0.534128\pi\)
\(350\) 4.50973 7.64233i 0.241055 0.408500i
\(351\) 5.06536 1.92367i 0.270369 0.102678i
\(352\) −23.4377 59.7183i −1.24923 3.18300i
\(353\) −23.0520 11.1013i −1.22693 0.590861i −0.295700 0.955281i \(-0.595553\pi\)
−0.931235 + 0.364420i \(0.881267\pi\)
\(354\) 59.0593 30.0037i 3.13897 1.59468i
\(355\) 4.80260 + 21.0416i 0.254895 + 1.11677i
\(356\) 20.6011 52.4908i 1.09186 2.78201i
\(357\) 0.823027 13.0342i 0.0435592 0.689845i
\(358\) −12.7899 32.5880i −0.675965 1.72233i
\(359\) −4.87354 + 3.32272i −0.257216 + 0.175367i −0.685062 0.728485i \(-0.740225\pi\)
0.427846 + 0.903852i \(0.359272\pi\)
\(360\) 12.8931 70.0960i 0.679525 3.69438i
\(361\) 0.994753 + 1.72296i 0.0523554 + 0.0906822i
\(362\) −12.2838 21.2762i −0.645623 1.11825i
\(363\) −4.59031 + 0.0975542i −0.240929 + 0.00512027i
\(364\) −12.4123 8.63662i −0.650584 0.452682i
\(365\) −6.12060 + 1.88795i −0.320367 + 0.0988201i
\(366\) 9.55385 6.81550i 0.499388 0.356252i
\(367\) −1.25706 + 1.57630i −0.0656179 + 0.0822823i −0.813557 0.581485i \(-0.802472\pi\)
0.747939 + 0.663767i \(0.231043\pi\)
\(368\) 95.9823 + 14.4670i 5.00342 + 0.754145i
\(369\) 19.9192 + 2.14157i 1.03695 + 0.111486i
\(370\) 3.17838 13.9254i 0.165236 0.723948i
\(371\) 18.2175 + 17.2286i 0.945805 + 0.894465i
\(372\) 37.4792 + 61.8429i 1.94320 + 3.20640i
\(373\) 14.6438 0.758228 0.379114 0.925350i \(-0.376229\pi\)
0.379114 + 0.925350i \(0.376229\pi\)
\(374\) −11.2619 + 19.5062i −0.582339 + 1.00864i
\(375\) 16.3061 0.346540i 0.842042 0.0178952i
\(376\) 1.82606 + 24.3670i 0.0941717 + 1.25663i
\(377\) 6.12140 7.67600i 0.315268 0.395334i
\(378\) 28.9102 + 24.0439i 1.48698 + 1.23669i
\(379\) 19.4428 + 24.3805i 0.998710 + 1.25234i 0.967511 + 0.252829i \(0.0813610\pi\)
0.0311987 + 0.999513i \(0.490068\pi\)
\(380\) 41.3491 38.3664i 2.12116 1.96815i
\(381\) 11.1209 5.64972i 0.569742 0.289444i
\(382\) −9.59526 + 6.54194i −0.490936 + 0.334715i
\(383\) −2.89741 + 3.63324i −0.148051 + 0.185650i −0.850327 0.526255i \(-0.823596\pi\)
0.702276 + 0.711905i \(0.252167\pi\)
\(384\) −48.7810 + 47.2302i −2.48935 + 2.41021i
\(385\) −1.24459 19.0352i −0.0634304 0.970124i
\(386\) 31.7562 + 15.2930i 1.61635 + 0.778392i
\(387\) 1.05194 2.01517i 0.0534730 0.102437i
\(388\) 43.9826 13.5668i 2.23288 0.688751i
\(389\) 33.1710 15.9743i 1.68184 0.809930i 0.685168 0.728385i \(-0.259729\pi\)
0.996670 0.0815457i \(-0.0259857\pi\)
\(390\) −0.659776 + 12.3088i −0.0334090 + 0.623279i
\(391\) −9.17267 15.8875i −0.463882 0.803467i
\(392\) 6.24352 66.3541i 0.315345 3.35139i
\(393\) −5.14189 + 24.9616i −0.259374 + 1.25915i
\(394\) 4.25086 10.8310i 0.214155 0.545658i
\(395\) −5.86488 3.99861i −0.295094 0.201192i
\(396\) −19.2214 43.4503i −0.965913 2.18346i
\(397\) −1.66884 + 22.2691i −0.0837567 + 1.11766i 0.784032 + 0.620721i \(0.213160\pi\)
−0.867788 + 0.496934i \(0.834459\pi\)
\(398\) −25.4846 + 17.3751i −1.27743 + 0.870936i
\(399\) 4.42174 + 18.3758i 0.221364 + 0.919939i
\(400\) 15.2780 + 10.4163i 0.763898 + 0.520817i
\(401\) 16.2796 20.4140i 0.812967 1.01943i −0.186351 0.982483i \(-0.559666\pi\)
0.999317 0.0369448i \(-0.0117626\pi\)
\(402\) −3.47923 + 4.55823i −0.173528 + 0.227344i
\(403\) −4.95236 6.21006i −0.246694 0.309345i
\(404\) −25.6524 7.91273i −1.27626 0.393673i
\(405\) 3.12048 22.2393i 0.155058 1.10508i
\(406\) 67.2738 + 10.7951i 3.33874 + 0.535751i
\(407\) −2.20934 5.62931i −0.109513 0.279035i
\(408\) 46.6119 + 6.01574i 2.30763 + 0.297824i
\(409\) 21.6889 + 6.69015i 1.07245 + 0.330807i 0.780197 0.625534i \(-0.215119\pi\)
0.292253 + 0.956341i \(0.405595\pi\)
\(410\) −22.7881 + 39.4702i −1.12543 + 1.94930i
\(411\) 1.64010 7.96195i 0.0809001 0.392734i
\(412\) −41.6048 12.8334i −2.04972 0.632255i
\(413\) −33.1780 16.3681i −1.63258 0.805422i
\(414\) 52.5160 + 5.64615i 2.58102 + 0.277493i
\(415\) 2.22188 + 2.06161i 0.109068 + 0.101200i
\(416\) 14.4347 18.1006i 0.707720 0.887453i
\(417\) −2.55558 + 6.94172i −0.125147 + 0.339938i
\(418\) 7.25323 31.7785i 0.354767 1.55434i
\(419\) 0.555824 0.171449i 0.0271538 0.00837584i −0.281149 0.959664i \(-0.590715\pi\)
0.308302 + 0.951288i \(0.400239\pi\)
\(420\) −56.1436 + 27.8540i −2.73953 + 1.35913i
\(421\) 1.88230 + 0.580613i 0.0917377 + 0.0282973i 0.340284 0.940323i \(-0.389477\pi\)
−0.248547 + 0.968620i \(0.579953\pi\)
\(422\) −28.8347 + 49.9432i −1.40365 + 2.43119i
\(423\) 0.901052 + 7.64648i 0.0438106 + 0.371785i
\(424\) −66.1442 + 61.3729i −3.21225 + 2.98053i
\(425\) −0.261163 3.48498i −0.0126683 0.169046i
\(426\) 14.1565 38.4532i 0.685884 1.86307i
\(427\) −6.24434 1.99134i −0.302185 0.0963679i
\(428\) 15.0852 38.4365i 0.729172 1.85790i
\(429\) 2.70482 + 4.46311i 0.130590 + 0.215481i
\(430\) 3.22433 + 4.04318i 0.155491 + 0.194980i
\(431\) −0.00863274 0.115196i −0.000415824 0.00554879i 0.996992 0.0775042i \(-0.0246951\pi\)
−0.997408 + 0.0719554i \(0.977076\pi\)
\(432\) −53.9263 + 56.8455i −2.59453 + 2.73498i
\(433\) −30.9809 + 14.9196i −1.48885 + 0.716990i −0.988833 0.149028i \(-0.952386\pi\)
−0.500013 + 0.866018i \(0.666671\pi\)
\(434\) 20.6254 51.1181i 0.990053 2.45375i
\(435\) −15.6680 37.5549i −0.751224 1.80062i
\(436\) −65.2580 + 31.4266i −3.12529 + 1.50506i
\(437\) 19.4616 + 18.0578i 0.930976 + 0.863819i
\(438\) 11.6939 + 3.33671i 0.558758 + 0.159434i
\(439\) 8.29480 21.1348i 0.395889 1.00871i −0.584457 0.811425i \(-0.698692\pi\)
0.980346 0.197285i \(-0.0632124\pi\)
\(440\) 68.6466 3.27260
\(441\) 1.07724 20.9724i 0.0512972 0.998683i
\(442\) −8.12837 −0.386627
\(443\) −10.0187 + 25.5272i −0.476003 + 1.21283i 0.468245 + 0.883599i \(0.344886\pi\)
−0.944248 + 0.329236i \(0.893209\pi\)
\(444\) −14.2742 + 13.8204i −0.677421 + 0.655885i
\(445\) 18.8183 + 17.4608i 0.892073 + 0.827722i
\(446\) 27.5875 13.2854i 1.30631 0.629084i
\(447\) 18.7703 24.5915i 0.887804 1.16314i
\(448\) 79.8519 + 12.8134i 3.77265 + 0.605378i
\(449\) −16.6220 + 8.00474i −0.784441 + 0.377767i −0.782833 0.622232i \(-0.786226\pi\)
−0.00160815 + 0.999999i \(0.500512\pi\)
\(450\) 8.54679 + 5.30972i 0.402900 + 0.250303i
\(451\) 1.44199 + 19.2421i 0.0679009 + 0.906074i
\(452\) −49.7593 62.3962i −2.34048 2.93487i
\(453\) 12.0876 0.256888i 0.567926 0.0120697i
\(454\) −25.9174 + 66.0365i −1.21637 + 3.09925i
\(455\) 5.72451 3.82368i 0.268369 0.179257i
\(456\) −67.0245 + 11.5638i −3.13871 + 0.541523i
\(457\) −1.95757 26.1220i −0.0915714 1.22194i −0.833906 0.551906i \(-0.813901\pi\)
0.742335 0.670029i \(-0.233718\pi\)
\(458\) −5.69172 + 5.28114i −0.265956 + 0.246771i
\(459\) 14.7543 + 1.26982i 0.688673 + 0.0592701i
\(460\) −44.0179 + 76.2412i −2.05234 + 3.55476i
\(461\) −17.9204 5.52771i −0.834637 0.257451i −0.152157 0.988356i \(-0.548622\pi\)
−0.682479 + 0.730905i \(0.739098\pi\)
\(462\) −17.7390 + 31.5752i −0.825293 + 1.46901i
\(463\) 12.6262 3.89466i 0.586788 0.181000i 0.0128758 0.999917i \(-0.495901\pi\)
0.573912 + 0.818917i \(0.305425\pi\)
\(464\) −31.5931 + 138.418i −1.46667 + 6.42590i
\(465\) −32.4416 + 5.59717i −1.50444 + 0.259563i
\(466\) −8.80188 + 11.0372i −0.407739 + 0.511289i
\(467\) 3.24314 + 3.00919i 0.150074 + 0.139249i 0.751637 0.659577i \(-0.229264\pi\)
−0.601563 + 0.798826i \(0.705455\pi\)
\(468\) 10.1112 13.8474i 0.467392 0.640098i
\(469\) 3.20237 + 0.0304521i 0.147872 + 0.00140615i
\(470\) −16.7375 5.16285i −0.772045 0.238144i
\(471\) 0.850657 + 0.756302i 0.0391962 + 0.0348486i
\(472\) 66.5668 115.297i 3.06399 5.30698i
\(473\) 2.09220 + 0.645358i 0.0961995 + 0.0296736i
\(474\) 5.18900 + 12.4376i 0.238339 + 0.571277i
\(475\) 1.84771 + 4.70789i 0.0847787 + 0.216013i
\(476\) −20.3229 35.9863i −0.931500 1.64943i
\(477\) −20.0011 + 20.2061i −0.915788 + 0.925174i
\(478\) −16.6783 5.14457i −0.762846 0.235307i
\(479\) 2.25771 + 2.83108i 0.103158 + 0.129355i 0.830730 0.556675i \(-0.187923\pi\)
−0.727573 + 0.686030i \(0.759352\pi\)
\(480\) −36.9463 88.5572i −1.68636 4.04206i
\(481\) 1.36068 1.70624i 0.0620417 0.0777978i
\(482\) −2.52063 1.71854i −0.114812 0.0782772i
\(483\) −15.0480 25.3713i −0.684707 1.15443i
\(484\) −12.0045 + 8.18455i −0.545660 + 0.372025i
\(485\) −1.56591 + 20.8956i −0.0711041 + 0.948819i
\(486\) −28.0033 + 32.1512i −1.27026 + 1.45841i
\(487\) 17.5927 + 11.9945i 0.797200 + 0.543522i 0.892033 0.451971i \(-0.149279\pi\)
−0.0948320 + 0.995493i \(0.530231\pi\)
\(488\) 8.61691 21.9555i 0.390069 0.993880i
\(489\) 28.7710 + 25.5797i 1.30107 + 1.15675i
\(490\) 42.6409 + 21.5431i 1.92632 + 0.973219i
\(491\) 3.77466 + 6.53791i 0.170348 + 0.295052i 0.938542 0.345166i \(-0.112177\pi\)
−0.768193 + 0.640218i \(0.778844\pi\)
\(492\) 56.5211 28.7142i 2.54817 1.29454i
\(493\) 24.1762 11.6426i 1.08884 0.524357i
\(494\) 11.2405 3.46724i 0.505735 0.155998i
\(495\) 21.6105 0.918954i 0.971318 0.0413039i
\(496\) 103.488 + 49.8373i 4.64676 + 2.23776i
\(497\) −21.9310 + 6.53708i −0.983738 + 0.293228i
\(498\) −1.39943 5.58183i −0.0627100 0.250128i
\(499\) 10.3622 12.9938i 0.463875 0.581680i −0.493785 0.869584i \(-0.664387\pi\)
0.957659 + 0.287904i \(0.0929584\pi\)
\(500\) 42.6434 29.0738i 1.90707 1.30022i
\(501\) −16.2908 10.6070i −0.727820 0.473885i
\(502\) 56.9742 52.8643i 2.54288 2.35945i
\(503\) 0.119020 + 0.149246i 0.00530682 + 0.00665455i 0.784478 0.620157i \(-0.212931\pi\)
−0.779171 + 0.626811i \(0.784360\pi\)
\(504\) 75.0576 + 8.79240i 3.34333 + 0.391645i
\(505\) 7.61987 9.55501i 0.339080 0.425192i
\(506\) 3.80175 + 50.7308i 0.169008 + 2.25526i
\(507\) 9.93466 18.0841i 0.441214 0.803145i
\(508\) 19.7363 34.1843i 0.875657 1.51668i
\(509\) −33.9021 −1.50268 −0.751342 0.659913i \(-0.770593\pi\)
−0.751342 + 0.659913i \(0.770593\pi\)
\(510\) −16.2210 + 29.5272i −0.718277 + 1.30749i
\(511\) −2.42099 6.34534i −0.107098 0.280701i
\(512\) −10.6036 + 46.4573i −0.468616 + 2.05314i
\(513\) −20.9450 + 4.53760i −0.924745 + 0.200340i
\(514\) 31.3191 + 4.72060i 1.38143 + 0.208217i
\(515\) 12.3584 15.4969i 0.544576 0.682877i
\(516\) −0.689862 7.16031i −0.0303695 0.315215i
\(517\) −7.08632 + 2.18584i −0.311656 + 0.0961331i
\(518\) 14.9538 + 2.39956i 0.657031 + 0.105431i
\(519\) −6.30630 10.4058i −0.276816 0.456763i
\(520\) 12.3866 + 21.4542i 0.543187 + 0.940827i
\(521\) −12.8981 22.3401i −0.565074 0.978737i −0.997043 0.0768483i \(-0.975514\pi\)
0.431969 0.901889i \(-0.357819\pi\)
\(522\) −13.9758 + 75.9825i −0.611705 + 3.32567i
\(523\) 2.75666 1.87946i 0.120540 0.0821830i −0.501549 0.865129i \(-0.667236\pi\)
0.622089 + 0.782946i \(0.286284\pi\)
\(524\) 29.4642 + 75.0735i 1.28715 + 3.27960i
\(525\) −0.485691 5.59833i −0.0211973 0.244331i
\(526\) 11.3653 28.9583i 0.495550 1.26264i
\(527\) −4.83069 21.1646i −0.210428 0.921946i
\(528\) −63.2442 41.1784i −2.75235 1.79206i
\(529\) −16.6098 7.99884i −0.722164 0.347776i
\(530\) −23.6301 60.2084i −1.02642 2.61529i
\(531\) 19.4123 37.1875i 0.842421 1.61380i
\(532\) 43.4544 + 41.0956i 1.88399 + 1.78172i
\(533\) −5.75355 + 3.92270i −0.249214 + 0.169911i
\(534\) −11.8525 47.2754i −0.512908 2.04581i
\(535\) 13.7798 + 12.7857i 0.595751 + 0.552776i
\(536\) −0.861234 + 11.4924i −0.0371996 + 0.496395i
\(537\) −18.5782 12.0963i −0.801707 0.521993i
\(538\) −12.4802 + 21.6163i −0.538059 + 0.931946i
\(539\) 20.0543 2.63371i 0.863798 0.113442i
\(540\) −30.1243 64.3641i −1.29634 2.76979i
\(541\) −17.2361 + 2.59792i −0.741037 + 0.111693i −0.508702 0.860943i \(-0.669875\pi\)
−0.232335 + 0.972636i \(0.574636\pi\)
\(542\) 20.5214 9.88257i 0.881468 0.424493i
\(543\) −14.1572 6.45086i −0.607544 0.276833i
\(544\) 57.0091 27.4541i 2.44425 1.17709i
\(545\) −2.46418 32.8822i −0.105554 1.40852i
\(546\) −13.0690 + 0.153438i −0.559303 + 0.00656654i
\(547\) −0.618243 + 8.24988i −0.0264342 + 0.352739i 0.968266 + 0.249922i \(0.0804049\pi\)
−0.994700 + 0.102818i \(0.967214\pi\)
\(548\) −9.39812 23.9460i −0.401468 1.02292i
\(549\) 2.41875 7.02711i 0.103230 0.299910i
\(550\) −3.54060 + 9.02131i −0.150972 + 0.384670i
\(551\) −28.4663 + 26.4129i −1.21270 + 1.12523i
\(552\) 94.6400 48.0796i 4.02814 2.04640i
\(553\) 3.82503 6.48201i 0.162657 0.275643i
\(554\) −58.9931 8.89177i −2.50637 0.377775i
\(555\) −3.48272 8.34779i −0.147833 0.354344i
\(556\) 5.20879 + 22.8212i 0.220902 + 0.967835i
\(557\) 11.5207 + 19.9545i 0.488149 + 0.845500i 0.999907 0.0136303i \(-0.00433879\pi\)
−0.511758 + 0.859130i \(0.671005\pi\)
\(558\) 57.4144 + 24.7020i 2.43055 + 1.04572i
\(559\) 0.175822 + 0.770325i 0.00743646 + 0.0325813i
\(560\) −50.5930 + 85.7364i −2.13794 + 3.62302i
\(561\) 1.36788 + 14.1976i 0.0577517 + 0.599425i
\(562\) 6.53778 28.6439i 0.275780 1.20827i
\(563\) −15.4516 39.3701i −0.651209 1.65925i −0.747796 0.663929i \(-0.768888\pi\)
0.0965864 0.995325i \(-0.469208\pi\)
\(564\) 15.5923 + 18.7218i 0.656552 + 0.788329i
\(565\) 34.7186 10.7093i 1.46062 0.450542i
\(566\) 4.11384 18.0239i 0.172918 0.757602i
\(567\) 23.7464 + 1.76314i 0.997255 + 0.0740448i
\(568\) −18.3251 80.2876i −0.768905 3.36879i
\(569\) −0.404074 0.699877i −0.0169397 0.0293404i 0.857431 0.514598i \(-0.172059\pi\)
−0.874371 + 0.485258i \(0.838726\pi\)
\(570\) 9.83645 47.7516i 0.412004 2.00009i
\(571\) −32.0113 9.87419i −1.33963 0.413222i −0.459596 0.888128i \(-0.652006\pi\)
−0.880037 + 0.474906i \(0.842482\pi\)
\(572\) 14.8791 + 7.16538i 0.622125 + 0.299600i
\(573\) −2.54071 + 6.90132i −0.106140 + 0.288307i
\(574\) −43.3383 21.3806i −1.80890 0.892411i
\(575\) −4.92144 6.17129i −0.205238 0.257361i
\(576\) −16.5889 + 90.1889i −0.691203 + 3.75787i
\(577\) −16.3823 + 41.7415i −0.682006 + 1.73772i −0.00692905 + 0.999976i \(0.502206\pi\)
−0.675077 + 0.737747i \(0.735890\pi\)
\(578\) 21.8771 + 10.5355i 0.909967 + 0.438217i
\(579\) 21.9953 3.79486i 0.914094 0.157709i
\(580\) −106.394 72.5380i −4.41776 3.01198i
\(581\) −2.02759 + 2.49350i −0.0841186 + 0.103448i
\(582\) 24.1378 31.6236i 1.00055 1.31084i
\(583\) −22.6256 15.4259i −0.937058 0.638876i
\(584\) 23.3542 7.20381i 0.966403 0.298096i
\(585\) 4.18659 + 6.58812i 0.173094 + 0.272385i
\(586\) −46.0121 + 6.93521i −1.90074 + 0.286491i
\(587\) 4.75045 8.22803i 0.196072 0.339607i −0.751179 0.660098i \(-0.770515\pi\)
0.947251 + 0.320491i \(0.103848\pi\)
\(588\) −33.3551 57.4762i −1.37554 2.37028i
\(589\) 15.7082 + 27.2074i 0.647246 + 1.12106i
\(590\) 59.5012 + 74.6122i 2.44963 + 3.07174i
\(591\) −1.79183 7.14697i −0.0737060 0.293987i
\(592\) −7.02258 + 30.7679i −0.288626 + 1.26455i
\(593\) −0.915234 + 12.2130i −0.0375842 + 0.501526i 0.946368 + 0.323092i \(0.104722\pi\)
−0.983952 + 0.178434i \(0.942897\pi\)
\(594\) −35.3352 20.9249i −1.44982 0.858559i
\(595\) 18.6306 2.62718i 0.763779 0.107704i
\(596\) 7.31585 97.6233i 0.299669 3.99881i
\(597\) −6.74801 + 18.3296i −0.276178 + 0.750181i
\(598\) −15.1689 + 10.3420i −0.620304 + 0.422916i
\(599\) 36.2132 5.45826i 1.47963 0.223019i 0.640926 0.767603i \(-0.278551\pi\)
0.838706 + 0.544584i \(0.183313\pi\)
\(600\) 20.2173 0.429662i 0.825368 0.0175409i
\(601\) −21.3092 + 3.21184i −0.869219 + 0.131014i −0.568484 0.822694i \(-0.692470\pi\)
−0.300735 + 0.953708i \(0.597232\pi\)
\(602\) −4.05487 + 3.69124i −0.165264 + 0.150444i
\(603\) −0.117278 + 3.62941i −0.00477591 + 0.147801i
\(604\) 31.6114 21.5523i 1.28625 0.876950i
\(605\) −1.47185 6.44859i −0.0598392 0.262173i
\(606\) −22.0219 + 7.30878i −0.894578 + 0.296899i
\(607\) −24.3184 −0.987052 −0.493526 0.869731i \(-0.664292\pi\)
−0.493526 + 0.869731i \(0.664292\pi\)
\(608\) −67.1256 + 62.2834i −2.72230 + 2.52593i
\(609\) 38.6514 19.1757i 1.56623 0.777039i
\(610\) 12.3936 + 11.4996i 0.501801 + 0.465604i
\(611\) −1.96180 1.82028i −0.0793657 0.0736406i
\(612\) 41.3192 22.1081i 1.67023 0.893666i
\(613\) −7.02044 1.05816i −0.283553 0.0427387i 0.00572592 0.999984i \(-0.498177\pi\)
−0.289279 + 0.957245i \(0.593415\pi\)
\(614\) −44.1609 + 13.6218i −1.78219 + 0.549733i
\(615\) 2.76786 + 28.7285i 0.111611 + 1.15845i
\(616\) 4.74896 + 72.6321i 0.191341 + 2.92643i
\(617\) −11.2700 + 10.4570i −0.453712 + 0.420983i −0.873639 0.486575i \(-0.838246\pi\)
0.419927 + 0.907558i \(0.362056\pi\)
\(618\) −35.7165 + 11.8539i −1.43673 + 0.476832i
\(619\) −40.9897 −1.64751 −0.823757 0.566943i \(-0.808126\pi\)
−0.823757 + 0.566943i \(0.808126\pi\)
\(620\) −76.3671 + 70.8583i −3.06697 + 2.84574i
\(621\) 29.1497 16.4027i 1.16974 0.658219i
\(622\) −6.65172 + 8.34099i −0.266709 + 0.334443i
\(623\) −17.1727 + 21.1188i −0.688011 + 0.846106i
\(624\) 1.45776 27.1960i 0.0583571 1.08871i
\(625\) 6.59275 + 28.8847i 0.263710 + 1.15539i
\(626\) 11.1983 1.68787i 0.447574 0.0674609i
\(627\) −7.94774 19.0501i −0.317402 0.760786i
\(628\) 3.56171 + 0.536841i 0.142128 + 0.0214223i
\(629\) 5.37393 2.58795i 0.214273 0.103188i
\(630\) −25.5232 + 47.7809i −1.01687 + 1.90364i
\(631\) −1.96530 0.946437i −0.0782372 0.0376770i 0.394356 0.918958i \(-0.370968\pi\)
−0.472593 + 0.881281i \(0.656682\pi\)
\(632\) 22.3785 + 15.2574i 0.890167 + 0.606906i
\(633\) 3.50227 + 36.3513i 0.139203 + 1.44483i
\(634\) −4.96248 + 66.2197i −0.197085 + 2.62992i
\(635\) 11.2041 + 14.0496i 0.444623 + 0.557539i
\(636\) −18.1518 + 88.1191i −0.719767 + 3.49415i
\(637\) 4.44170 + 5.79235i 0.175987 + 0.229501i
\(638\) −74.4114 −2.94598
\(639\) −6.84368 25.0298i −0.270732 0.990165i
\(640\) −80.8205 55.1025i −3.19471 2.17812i
\(641\) 3.11976 13.6686i 0.123223 0.539877i −0.875201 0.483760i \(-0.839271\pi\)
0.998424 0.0561169i \(-0.0178720\pi\)
\(642\) −8.67904 34.6176i −0.342534 1.36625i
\(643\) 0.293288 + 3.91365i 0.0115661 + 0.154339i 0.999996 + 0.00266368i \(0.000847877\pi\)
−0.988430 + 0.151676i \(0.951533\pi\)
\(644\) −83.7128 41.2991i −3.29874 1.62741i
\(645\) 3.14916 + 0.898570i 0.123998 + 0.0353812i
\(646\) 31.7907 + 4.79168i 1.25079 + 0.188526i
\(647\) 2.25129 + 30.0414i 0.0885074 + 1.18105i 0.847806 + 0.530307i \(0.177923\pi\)
−0.759298 + 0.650743i \(0.774458\pi\)
\(648\) −11.9067 + 84.8580i −0.467741 + 3.33354i
\(649\) 38.6091 + 11.9093i 1.51554 + 0.467482i
\(650\) −3.45830 + 0.521255i −0.135646 + 0.0204453i
\(651\) −8.16645 33.9379i −0.320068 1.33013i
\(652\) 120.464 + 18.1571i 4.71774 + 0.711086i
\(653\) −8.88665 4.27959i −0.347762 0.167473i 0.251846 0.967767i \(-0.418962\pi\)
−0.599608 + 0.800294i \(0.704677\pi\)
\(654\) −30.1431 + 54.8698i −1.17869 + 2.14558i
\(655\) −36.7155 −1.43459
\(656\) 50.3500 87.2087i 1.96584 3.40493i
\(657\) 7.25564 2.58045i 0.283069 0.100673i
\(658\) 4.30469 18.0665i 0.167814 0.704304i
\(659\) −12.6877 11.7724i −0.494242 0.458589i 0.393238 0.919437i \(-0.371355\pi\)
−0.887479 + 0.460848i \(0.847545\pi\)
\(660\) 55.7217 39.7506i 2.16896 1.54729i
\(661\) −6.23349 15.8827i −0.242455 0.617765i 0.756906 0.653524i \(-0.226710\pi\)
−0.999360 + 0.0357595i \(0.988615\pi\)
\(662\) 25.2157 + 64.2485i 0.980034 + 2.49709i
\(663\) −4.19038 + 2.98932i −0.162741 + 0.116096i
\(664\) −8.47797 7.86641i −0.329009 0.305276i
\(665\) −24.6431 + 11.5801i −0.955618 + 0.449058i
\(666\) −3.10658 + 16.8896i −0.120378 + 0.654458i
\(667\) 30.3036 52.4873i 1.17336 2.03232i
\(668\) −61.5158 −2.38012
\(669\) 9.33614 16.9946i 0.360956 0.657051i
\(670\) −7.44294 3.58433i −0.287546 0.138475i
\(671\) 7.07804 + 1.06684i 0.273245 + 0.0411850i
\(672\) 91.1427 45.2177i 3.51591 1.74431i
\(673\) −15.4955 + 2.33557i −0.597307 + 0.0900296i −0.440736 0.897637i \(-0.645282\pi\)
−0.156572 + 0.987667i \(0.550044\pi\)
\(674\) 20.4887 + 6.31994i 0.789197 + 0.243435i
\(675\) 6.35881 0.405905i 0.244751 0.0156233i
\(676\) −4.87937 65.1107i −0.187668 2.50426i
\(677\) −6.07438 0.915565i −0.233457 0.0351880i 0.0312716 0.999511i \(-0.490044\pi\)
−0.264729 + 0.964323i \(0.585282\pi\)
\(678\) −66.3329 18.9272i −2.54750 0.726894i
\(679\) −22.2171 0.211267i −0.852612 0.00810769i
\(680\) 5.05979 + 67.5182i 0.194034 + 2.58920i
\(681\) 10.9248 + 43.5750i 0.418638 + 1.66980i
\(682\) −13.3959 + 58.6912i −0.512955 + 2.24740i
\(683\) −32.4295 22.1100i −1.24088 0.846017i −0.248427 0.968651i \(-0.579914\pi\)
−0.992452 + 0.122634i \(0.960866\pi\)
\(684\) −47.7089 + 48.1978i −1.82419 + 1.84289i
\(685\) 11.7110 0.447456
\(686\) −19.8440 + 46.6069i −0.757647 + 1.77946i
\(687\) −0.992009 + 4.81576i −0.0378475 + 0.183733i
\(688\) −7.12410 8.93334i −0.271604 0.340580i
\(689\) 0.738504 9.85465i 0.0281348 0.375432i
\(690\) 7.29732 + 75.7414i 0.277804 + 2.88342i
\(691\) 18.6274 + 12.6999i 0.708619 + 0.483128i 0.863207 0.504851i \(-0.168452\pi\)
−0.154587 + 0.987979i \(0.549405\pi\)
\(692\) −34.6906 16.7061i −1.31874 0.635072i
\(693\) 2.46732 + 22.8016i 0.0937256 + 0.866159i
\(694\) −46.0950 + 22.1982i −1.74974 + 0.842631i
\(695\) −10.5376 1.58829i −0.399714 0.0602471i
\(696\) 59.7840 + 143.297i 2.26611 + 5.43166i
\(697\) −18.8195 + 2.83658i −0.712839 + 0.107443i
\(698\) 14.7470 + 64.6110i 0.558184 + 2.44556i
\(699\) −0.478504 + 8.92697i −0.0180987 + 0.337649i
\(700\) −10.9543 14.0075i −0.414035 0.529433i
\(701\) 4.11322 5.15781i 0.155354 0.194808i −0.698063 0.716036i \(-0.745955\pi\)
0.853417 + 0.521228i \(0.174526\pi\)
\(702\) 0.163799 14.8190i 0.00618220 0.559307i
\(703\) −6.32755 + 5.87111i −0.238648 + 0.221433i
\(704\) −88.3240 −3.32884
\(705\) −10.5273 + 3.49388i −0.396482 + 0.131587i
\(706\) −51.2995 + 47.5990i −1.93068 + 1.79141i
\(707\) 10.6369 + 7.40125i 0.400042 + 0.278353i
\(708\) −12.7306 132.135i −0.478445 4.96594i
\(709\) 26.3241 8.11992i 0.988624 0.304950i 0.242058 0.970262i \(-0.422178\pi\)
0.746566 + 0.665312i \(0.231701\pi\)
\(710\) 58.3724 + 8.79822i 2.19068 + 0.330191i
\(711\) 7.24915 + 4.50356i 0.271864 + 0.168897i
\(712\) −71.8044 66.6247i −2.69098 2.49687i
\(713\) −35.9434 33.3506i −1.34609 1.24899i
\(714\) −32.3637 15.1201i −1.21118 0.565854i
\(715\) −5.51130 + 5.11374i −0.206111 + 0.191243i
\(716\) −70.1531 −2.62175
\(717\) −10.4900 + 3.48151i −0.391758 + 0.130019i
\(718\) 3.58996 + 15.7287i 0.133976 + 0.586988i
\(719\) 40.3102 27.4830i 1.50332 1.02494i 0.517773 0.855518i \(-0.326761\pi\)
0.985543 0.169426i \(-0.0541912\pi\)
\(720\) −95.8832 59.5678i −3.57336 2.21996i
\(721\) 17.2516 + 12.0038i 0.642484 + 0.447046i
\(722\) 5.38080 0.811025i 0.200253 0.0301832i
\(723\) −1.93146 + 0.0410478i −0.0718319 + 0.00152658i
\(724\) −48.6816 + 7.33757i −1.80924 + 0.272699i
\(725\) 9.53938 6.50384i 0.354284 0.241546i
\(726\) −4.33853 + 11.7847i −0.161018 + 0.437373i
\(727\) −2.46791 + 32.9320i −0.0915299 + 1.22138i 0.742570 + 0.669768i \(0.233607\pi\)
−0.834100 + 0.551613i \(0.814013\pi\)
\(728\) −21.8429 + 14.5899i −0.809550 + 0.540738i
\(729\) −2.61236 + 26.8733i −0.0967539 + 0.995308i
\(730\) −1.30920 + 17.4700i −0.0484556 + 0.646595i
\(731\) −0.480538 + 2.10538i −0.0177734 + 0.0778702i
\(732\) −5.71909 22.8114i −0.211384 0.843134i
\(733\) 0.0315145 + 0.0395180i 0.00116402 + 0.00145963i 0.782413 0.622760i \(-0.213989\pi\)
−0.781249 + 0.624219i \(0.785417\pi\)
\(734\) 2.75725 + 4.77570i 0.101772 + 0.176274i
\(735\) 29.9052 4.57574i 1.10307 0.168779i
\(736\) 71.4580 123.769i 2.63398 4.56218i
\(737\) −3.45848 + 0.521283i −0.127395 + 0.0192017i
\(738\) 25.3570 48.5757i 0.933405 1.78810i
\(739\) −48.0494 + 14.8213i −1.76752 + 0.545209i −0.995867 0.0908285i \(-0.971048\pi\)
−0.771658 + 0.636038i \(0.780572\pi\)
\(740\) −23.6495 16.1239i −0.869371 0.592727i
\(741\) 4.51964 5.92130i 0.166033 0.217524i
\(742\) 62.0693 29.1672i 2.27863 1.07076i
\(743\) −2.66344 1.81590i −0.0977120 0.0666189i 0.513478 0.858103i \(-0.328357\pi\)
−0.611190 + 0.791484i \(0.709309\pi\)
\(744\) 123.787 21.3570i 4.53824 0.782985i
\(745\) 40.1543 + 19.3373i 1.47114 + 0.708464i
\(746\) 14.6330 37.2842i 0.535751 1.36507i
\(747\) −2.77423 2.36291i −0.101504 0.0864544i
\(748\) 28.1417 + 35.2886i 1.02896 + 1.29028i
\(749\) −12.5748 + 15.4643i −0.459472 + 0.565053i
\(750\) 15.4117 41.8627i 0.562755 1.52861i
\(751\) 36.9359 + 17.7874i 1.34781 + 0.649071i 0.961884 0.273458i \(-0.0881676\pi\)
0.385926 + 0.922530i \(0.373882\pi\)
\(752\) 36.9813 + 11.4072i 1.34857 + 0.415978i
\(753\) 9.93003 48.2059i 0.361871 1.75672i
\(754\) −13.4268 23.2558i −0.488974 0.846928i
\(755\) 3.87581 + 16.9810i 0.141055 + 0.618002i
\(756\) 66.0170 36.3260i 2.40101 1.32116i
\(757\) −10.3200 + 45.2151i −0.375089 + 1.64337i 0.337163 + 0.941446i \(0.390533\pi\)
−0.712252 + 0.701924i \(0.752325\pi\)
\(758\) 81.5029 25.1403i 2.96032 0.913137i
\(759\) 20.6168 + 24.7548i 0.748344 + 0.898544i
\(760\) −35.7976 91.2108i −1.29852 3.30856i
\(761\) 7.45505 32.6627i 0.270246 1.18402i −0.639478 0.768809i \(-0.720850\pi\)
0.909724 0.415214i \(-0.136293\pi\)
\(762\) −3.27191 33.9602i −0.118529 1.23025i
\(763\) 34.6208 4.88204i 1.25336 0.176742i
\(764\) 5.17848 + 22.6884i 0.187351 + 0.820837i
\(765\) 2.49671 + 21.1875i 0.0902686 + 0.766035i
\(766\) 6.35522 + 11.0076i 0.229624 + 0.397720i
\(767\) 3.24458 + 14.2154i 0.117155 + 0.513290i
\(768\) 30.7358 + 73.6710i 1.10908 + 2.65837i
\(769\) 10.7636 + 1.62235i 0.388144 + 0.0585033i 0.340216 0.940347i \(-0.389500\pi\)
0.0479284 + 0.998851i \(0.484738\pi\)
\(770\) −49.7087 15.8523i −1.79138 0.571277i
\(771\) 17.8818 9.08445i 0.643999 0.327168i
\(772\) 51.7766 48.0417i 1.86348 1.72906i
\(773\) −2.55637 + 6.51352i −0.0919462 + 0.234275i −0.969447 0.245299i \(-0.921114\pi\)
0.877501 + 0.479575i \(0.159209\pi\)
\(774\) −4.07960 4.69198i −0.146638 0.168650i
\(775\) −3.41251 8.69493i −0.122581 0.312331i
\(776\) 5.97498 79.7306i 0.214489 2.86216i
\(777\) 8.59152 4.26242i 0.308219 0.152914i
\(778\) −7.52531 100.418i −0.269796 3.60017i
\(779\) 24.8150 11.9503i 0.889090 0.428163i
\(780\) 22.4777 + 10.2422i 0.804830 + 0.366728i
\(781\) 22.5177 10.8440i 0.805747 0.388027i
\(782\) −49.6167 + 7.47851i −1.77429 + 0.267431i
\(783\) 20.7387 + 44.3107i 0.741142 + 1.58353i
\(784\) −94.2141 47.5991i −3.36479 1.69997i
\(785\) −0.819898 + 1.42010i −0.0292634 + 0.0506857i
\(786\) 58.4159 + 38.0347i 2.08363 + 1.35665i
\(787\) −2.29791 + 30.6635i −0.0819117 + 1.09304i 0.793151 + 0.609025i \(0.208439\pi\)
−0.875062 + 0.484010i \(0.839180\pi\)
\(788\) −17.0920 15.8591i −0.608877 0.564956i
\(789\) −4.79071 19.1084i −0.170554 0.680278i
\(790\) −16.0413 + 10.9368i −0.570723 + 0.389113i
\(791\) 13.7328 + 35.9934i 0.488284 + 1.27978i
\(792\) −82.4584 + 3.50643i −2.93003 + 0.124595i
\(793\) 0.943738 + 2.40461i 0.0335131 + 0.0853900i
\(794\) 55.0312 + 26.5016i 1.95298 + 0.940507i
\(795\) −34.3243 22.3486i −1.21736 0.792625i
\(796\) 13.7538 + 60.2594i 0.487491 + 2.13584i
\(797\) −15.7591 + 40.1536i −0.558217 + 1.42231i 0.321543 + 0.946895i \(0.395799\pi\)
−0.879760 + 0.475418i \(0.842297\pi\)
\(798\) 51.2045 + 7.10409i 1.81262 + 0.251482i
\(799\) −2.67223 6.80872i −0.0945366 0.240875i
\(800\) 22.4945 15.3365i 0.795302 0.542228i
\(801\) −23.4965 20.0127i −0.830206 0.707115i
\(802\) −35.7080 61.8481i −1.26089 2.18393i
\(803\) 3.70859 + 6.42347i 0.130873 + 0.226679i
\(804\) 5.95571 + 9.82727i 0.210042 + 0.346581i
\(805\) 31.4252 28.6071i 1.10759 1.00827i
\(806\) −20.7599 + 6.40359i −0.731238 + 0.225557i
\(807\) 1.51585 + 15.7335i 0.0533604 + 0.553846i
\(808\) −29.0749 + 36.4588i −1.02285 + 1.28261i
\(809\) −7.16391 1.07979i −0.251870 0.0379632i 0.0218938 0.999760i \(-0.493030\pi\)
−0.273763 + 0.961797i \(0.588269\pi\)
\(810\) −53.5048 30.1678i −1.87997 1.05999i
\(811\) 11.1691 48.9351i 0.392201 1.71834i −0.264668 0.964340i \(-0.585262\pi\)
0.656869 0.754005i \(-0.271881\pi\)
\(812\) 69.3892 117.589i 2.43508 4.12656i
\(813\) 6.94482 12.6417i 0.243566 0.443365i
\(814\) −16.5403 −0.579739
\(815\) −27.7306 + 48.0308i −0.971361 + 1.68245i
\(816\) 35.8400 65.2398i 1.25465 2.28385i
\(817\) −0.233545 3.11645i −0.00817072 0.109031i
\(818\) 38.7065 48.5364i 1.35334 1.69704i
\(819\) −6.68098 + 4.88542i −0.233452 + 0.170710i
\(820\) 56.9440 + 71.4056i 1.98857 + 2.49359i
\(821\) 25.6423 23.7926i 0.894923 0.830367i −0.0912940 0.995824i \(-0.529100\pi\)
0.986217 + 0.165457i \(0.0529098\pi\)
\(822\) −18.6328 12.1319i −0.649894 0.423147i
\(823\) −0.0391565 + 0.0266965i −0.00136491 + 0.000930581i −0.564002 0.825773i \(-0.690739\pi\)
0.562637 + 0.826704i \(0.309787\pi\)
\(824\) −47.1556 + 59.1312i −1.64274 + 2.05993i
\(825\) 1.49244 + 5.95281i 0.0519601 + 0.207250i
\(826\) −74.8278 + 68.1174i −2.60359 + 2.37011i
\(827\) 15.7017 + 7.56152i 0.546000 + 0.262940i 0.686486 0.727143i \(-0.259152\pi\)
−0.140486 + 0.990083i \(0.544866\pi\)
\(828\) 48.9800 93.8294i 1.70217 3.26080i
\(829\) 21.0650 6.49768i 0.731617 0.225674i 0.0935063 0.995619i \(-0.470192\pi\)
0.638110 + 0.769945i \(0.279716\pi\)
\(830\) 7.46923 3.59699i 0.259261 0.124853i
\(831\) −33.6825 + 17.1116i −1.16843 + 0.593594i
\(832\) −15.9372 27.6040i −0.552521 0.956995i
\(833\) 4.06857 + 19.5305i 0.140968 + 0.676691i
\(834\) 15.1204 + 13.4433i 0.523578 + 0.465503i
\(835\) 10.2315 26.0694i 0.354075 0.902168i
\(836\) −53.9692 36.7956i −1.86656 1.27260i
\(837\) 38.6830 8.38043i 1.33708 0.289670i
\(838\) 0.118891 1.58649i 0.00410702 0.0548044i
\(839\) −5.04455 + 3.43932i −0.174157 + 0.118738i −0.647261 0.762268i \(-0.724086\pi\)
0.473104 + 0.881007i \(0.343133\pi\)
\(840\) 9.40981 + 108.462i 0.324669 + 3.74230i
\(841\) 49.2846 + 33.6017i 1.69947 + 1.15868i
\(842\) 3.35919 4.21229i 0.115765 0.145165i
\(843\) −7.16379 17.1710i −0.246734 0.591401i
\(844\) 72.0534 + 90.3522i 2.48018 + 3.11005i
\(845\) 28.4044 + 8.76159i 0.977140 + 0.301408i
\(846\) 20.3689 + 5.34668i 0.700296 + 0.183823i
\(847\) 6.72117 2.00342i 0.230942 0.0688382i
\(848\) 52.2101 + 133.029i 1.79290 + 4.56824i
\(849\) −4.50775 10.8047i −0.154706 0.370816i
\(850\) −9.13398 2.81746i −0.313293 0.0966381i
\(851\) 6.73595 11.6670i 0.230905 0.399940i
\(852\) −61.3663 54.5596i −2.10238 1.86918i
\(853\) 18.3786 + 5.66903i 0.629270 + 0.194104i 0.592954 0.805236i \(-0.297962\pi\)
0.0363157 + 0.999340i \(0.488438\pi\)
\(854\) −11.3098 + 13.9087i −0.387014 + 0.475945i
\(855\) −12.4904 28.2346i −0.427162 0.965604i
\(856\) −52.5790 48.7862i −1.79711 1.66748i
\(857\) −28.0111 + 35.1248i −0.956840 + 1.19984i 0.0229345 + 0.999737i \(0.492699\pi\)
−0.979775 + 0.200103i \(0.935872\pi\)
\(858\) 14.0662 2.42685i 0.480212 0.0828513i
\(859\) −8.70774 + 38.1511i −0.297104 + 1.30170i 0.577313 + 0.816523i \(0.304101\pi\)
−0.874417 + 0.485176i \(0.838756\pi\)
\(860\) 9.90271 3.05458i 0.337680 0.104160i
\(861\) −30.2050 + 4.91599i −1.02938 + 0.167537i
\(862\) −0.301923 0.0931310i −0.0102835 0.00317205i
\(863\) 10.0187 17.3528i 0.341040 0.590698i −0.643586 0.765373i \(-0.722554\pi\)
0.984626 + 0.174676i \(0.0558877\pi\)
\(864\) 48.9034 + 104.488i 1.66373 + 3.55475i
\(865\) 12.8496 11.9227i 0.436900 0.405384i
\(866\) 7.02845 + 93.7881i 0.238836 + 3.18705i
\(867\) 15.1527 2.61431i 0.514614 0.0887867i
\(868\) −80.2553 75.8988i −2.72404 2.57617i
\(869\) −3.00304 + 7.65162i −0.101871 + 0.259563i
\(870\) −111.274 + 2.36481i −3.77254 + 0.0801747i
\(871\) −0.786964 0.986822i −0.0266653 0.0334372i
\(872\) 9.40251 + 125.468i 0.318409 + 4.24887i
\(873\) 0.813636 25.1798i 0.0275374 0.852206i
\(874\) 65.4235 31.5063i 2.21298 1.06572i
\(875\) −23.8755 + 7.11670i −0.807139 + 0.240588i
\(876\) 14.7856 19.3710i 0.499558 0.654484i
\(877\) −20.7881 + 10.0110i −0.701963 + 0.338048i −0.750589 0.660769i \(-0.770230\pi\)
0.0486258 + 0.998817i \(0.484516\pi\)
\(878\) −45.5221 42.2383i −1.53630 1.42547i
\(879\) −21.1699 + 20.4969i −0.714042 + 0.691342i
\(880\) 39.7207 101.207i 1.33898 3.41167i
\(881\) −15.5005 −0.522225 −0.261112 0.965308i \(-0.584089\pi\)
−0.261112 + 0.965308i \(0.584089\pi\)
\(882\) −52.3207 23.6996i −1.76173 0.798006i
\(883\) −13.4662 −0.453173 −0.226586 0.973991i \(-0.572757\pi\)
−0.226586 + 0.973991i \(0.572757\pi\)
\(884\) −5.95089 + 15.1626i −0.200150 + 0.509974i
\(885\) 58.1140 + 16.5820i 1.95348 + 0.557399i
\(886\) 54.9829 + 51.0166i 1.84719 + 1.71394i
\(887\) 34.5378 16.6325i 1.15967 0.558465i 0.247742 0.968826i \(-0.420312\pi\)
0.911923 + 0.410361i \(0.134597\pi\)
\(888\) 13.2889 + 31.8524i 0.445947 + 1.06890i
\(889\) −14.0901 + 12.8266i −0.472568 + 0.430190i
\(890\) 63.2609 30.4648i 2.12051 1.02118i
\(891\) −25.9116 + 2.20770i −0.868071 + 0.0739607i
\(892\) −4.58541 61.1880i −0.153531 2.04873i
\(893\) 6.59968 + 8.27574i 0.220850 + 0.276937i
\(894\) −43.8552 72.3637i −1.46674 2.42021i
\(895\) 11.6681 29.7297i 0.390020 0.993755i
\(896\) 52.7105 89.3248i 1.76093 2.98413i
\(897\) −4.01655 + 10.9102i −0.134109 + 0.364279i
\(898\) 3.77094 + 50.3196i 0.125838 + 1.67919i
\(899\) 52.5740 48.7815i 1.75344 1.62696i
\(900\) 16.1620 12.0558i 0.538732 0.401861i
\(901\) 13.5046 23.3907i 0.449905 0.779258i
\(902\) 50.4326 + 15.5564i 1.67922 + 0.517972i
\(903\) −0.732881 + 3.39416i −0.0243887 + 0.112950i
\(904\) −132.475 + 40.8630i −4.40604 + 1.35908i
\(905\) 4.98732 21.8509i 0.165784 0.726348i
\(906\) 11.4246 31.0326i 0.379557 1.03099i
\(907\) −18.6699 + 23.4113i −0.619922 + 0.777358i −0.988334 0.152305i \(-0.951330\pi\)
0.368411 + 0.929663i \(0.379902\pi\)
\(908\) 104.210 + 96.6925i 3.45832 + 3.20885i
\(909\) −8.66493 + 11.8667i −0.287398 + 0.393594i
\(910\) −4.01509 18.3959i −0.133099 0.609817i
\(911\) −4.47969 1.38180i −0.148419 0.0457811i 0.219656 0.975577i \(-0.429507\pi\)
−0.368074 + 0.929796i \(0.619983\pi\)
\(912\) −21.7334 + 105.506i −0.719666 + 3.49366i
\(913\) 1.75495 3.03967i 0.0580805 0.100598i
\(914\) −68.4646 21.1185i −2.26461 0.698539i
\(915\) 10.6183 + 1.37040i 0.351031 + 0.0453041i
\(916\) 5.68443 + 14.4837i 0.187819 + 0.478555i
\(917\) −2.53997 38.8471i −0.0838772 1.28284i
\(918\) 17.9764 36.2967i 0.593311 1.19797i
\(919\) 14.0939 + 4.34738i 0.464913 + 0.143407i 0.518357 0.855164i \(-0.326544\pi\)
−0.0534441 + 0.998571i \(0.517020\pi\)
\(920\) 95.3482 + 119.563i 3.14354 + 3.94187i
\(921\) −17.7564 + 23.2632i −0.585095 + 0.766548i
\(922\) −31.9811 + 40.1030i −1.05324 + 1.32072i
\(923\) 7.45216 + 5.08079i 0.245291 + 0.167236i
\(924\) 45.9133 + 56.2069i 1.51044 + 1.84907i
\(925\) 2.12044 1.44569i 0.0697195 0.0475339i
\(926\) 2.70074 36.0389i 0.0887519 1.18431i
\(927\) −14.0533 + 19.2462i −0.461572 + 0.632128i
\(928\) 172.718 + 117.757i 5.66975 + 3.86557i
\(929\) 0.599325 1.52705i 0.0196632 0.0501010i −0.920705 0.390259i \(-0.872385\pi\)
0.940368 + 0.340158i \(0.110481\pi\)
\(930\) −18.1668 + 88.1917i −0.595713 + 2.89192i
\(931\) −13.9572 25.2727i −0.457430 0.828279i
\(932\) 14.1448 + 24.4995i 0.463328 + 0.802507i
\(933\) −0.361613 + 6.74624i −0.0118387 + 0.220862i
\(934\) 10.9024 5.25030i 0.356736 0.171795i
\(935\) −19.6353 + 6.05670i −0.642145 + 0.198075i
\(936\) −15.9746 25.1381i −0.522147 0.821664i
\(937\) 25.2492 + 12.1594i 0.824855 + 0.397229i 0.798183 0.602415i \(-0.205795\pi\)
0.0266721 + 0.999644i \(0.491509\pi\)
\(938\) 3.27753 8.12303i 0.107015 0.265226i
\(939\) 5.15226 4.98847i 0.168138 0.162792i
\(940\) −21.8845 + 27.4423i −0.713795 + 0.895070i
\(941\) −46.6558 + 31.8094i −1.52093 + 1.03696i −0.540216 + 0.841526i \(0.681658\pi\)
−0.980718 + 0.195429i \(0.937390\pi\)
\(942\) 2.77563 1.41009i 0.0904348 0.0459432i
\(943\) −31.5113 + 29.2382i −1.02615 + 0.952128i
\(944\) −131.467 164.854i −4.27888 5.36555i
\(945\) 4.41423 + 34.0187i 0.143595 + 1.10663i
\(946\) 3.73378 4.68201i 0.121396 0.152225i
\(947\) −2.64397 35.2813i −0.0859174 1.14649i −0.858929 0.512095i \(-0.828869\pi\)
0.773011 0.634392i \(-0.218750\pi\)
\(948\) 27.0000 0.573808i 0.876918 0.0186364i
\(949\) −1.33835 + 2.31810i −0.0434448 + 0.0752486i
\(950\) 13.8330 0.448800
\(951\) 21.7949 + 35.9629i 0.706749 + 1.16618i
\(952\) −71.0881 + 10.0245i −2.30398 + 0.324894i
\(953\) 12.8206 56.1708i 0.415300 1.81955i −0.142770 0.989756i \(-0.545601\pi\)
0.558070 0.829794i \(-0.311542\pi\)
\(954\) 31.4599 + 71.1154i 1.01855 + 2.30245i
\(955\) −10.4763 1.57904i −0.339004 0.0510966i
\(956\) −21.8070 + 27.3452i −0.705290 + 0.884405i
\(957\) −38.3609 + 27.3658i −1.24003 + 0.884611i
\(958\) 9.46418 2.91931i 0.305774 0.0943187i
\(959\) 0.810169 + 12.3910i 0.0261617 + 0.400125i
\(960\) −132.079 + 2.80696i −4.26282 + 0.0905942i
\(961\) −13.5113 23.4022i −0.435848 0.754911i
\(962\) −2.98453 5.16936i −0.0962252 0.166667i
\(963\) −17.2053 14.6544i −0.554435 0.472231i
\(964\) −5.05114 + 3.44381i −0.162686 + 0.110918i
\(965\) 11.7476 + 29.9325i 0.378170 + 0.963561i
\(966\) −79.6340 + 12.9608i −2.56218 + 0.417006i
\(967\) 14.6002 37.2008i 0.469512 1.19630i −0.478507 0.878084i \(-0.658822\pi\)
0.948019 0.318213i \(-0.103083\pi\)
\(968\) 5.61609 + 24.6057i 0.180508 + 0.790858i
\(969\) 18.1511 9.22123i 0.583097 0.296229i
\(970\) 51.6369 + 24.8670i 1.65796 + 0.798431i
\(971\) −3.34951 8.53441i −0.107491 0.273882i 0.867000 0.498307i \(-0.166045\pi\)
−0.974491 + 0.224425i \(0.927950\pi\)
\(972\) 39.4731 + 75.7755i 1.26610 + 2.43050i
\(973\) 0.951510 11.2593i 0.0305040 0.360956i
\(974\) 48.1185 32.8066i 1.54182 1.05119i
\(975\) −1.59114 + 1.54056i −0.0509573 + 0.0493373i
\(976\) −27.3834 25.4080i −0.876520 0.813292i
\(977\) 3.34724 44.6658i 0.107088 1.42899i −0.642096 0.766624i \(-0.721935\pi\)
0.749184 0.662362i \(-0.230446\pi\)
\(978\) 93.8774 47.6922i 3.00187 1.52503i
\(979\) 14.8636 25.7445i 0.475043 0.822799i
\(980\) 71.4044 63.7700i 2.28093 2.03706i
\(981\) 4.63958 + 39.3723i 0.148130 + 1.25706i
\(982\) 20.4178 3.07749i 0.651560 0.0982068i
\(983\) −1.68549 + 0.811689i −0.0537588 + 0.0258889i −0.460570 0.887623i \(-0.652355\pi\)
0.406811 + 0.913512i \(0.366641\pi\)
\(984\) −10.5612 109.619i −0.336680 3.49451i
\(985\) 9.56360 4.60559i 0.304722 0.146746i
\(986\) −5.48470 73.1882i −0.174668 2.33079i
\(987\) −4.42501 10.8968i −0.140850 0.346850i
\(988\) 1.76156 23.5064i 0.0560427 0.747838i
\(989\) 1.78198 + 4.54040i 0.0566635 + 0.144376i
\(990\) 19.2547 55.9401i 0.611956 1.77789i
\(991\) 0.0250601 0.0638521i 0.000796060 0.00202833i −0.930475 0.366355i \(-0.880606\pi\)
0.931271 + 0.364327i \(0.118701\pi\)
\(992\) 123.973 115.030i 3.93615 3.65222i
\(993\) 36.6275 + 23.8483i 1.16234 + 0.756802i
\(994\) −5.27083 + 62.3700i −0.167181 + 1.97826i
\(995\) −27.8245 4.19387i −0.882096 0.132955i
\(996\) −11.4369 1.47604i −0.362391 0.0467702i
\(997\) −13.1767 57.7310i −0.417311 1.82836i −0.547420 0.836858i \(-0.684390\pi\)
0.130109 0.991500i \(-0.458467\pi\)
\(998\) −22.7285 39.3670i −0.719459 1.24614i
\(999\) 4.60985 + 9.84948i 0.145849 + 0.311624i
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.142.53 yes 648
9.4 even 3 441.2.y.a.436.53 yes 648
49.39 even 21 441.2.y.a.88.53 648
441.382 even 21 inner 441.2.z.a.382.53 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.88.53 648 49.39 even 21
441.2.y.a.436.53 yes 648 9.4 even 3
441.2.z.a.142.53 yes 648 1.1 even 1 trivial
441.2.z.a.382.53 yes 648 441.382 even 21 inner