Properties

Label 882.2.bb.a.151.13
Level $882$
Weight $2$
Character 882.151
Analytic conductor $7.043$
Analytic rank $0$
Dimension $336$
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] = [882,2,Mod(25,882)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(882, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([28, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("882.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 882.bb (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: \(7.04280545828\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 151.13
Character \(\chi\) \(=\) 882.151
Dual form 882.2.bb.a.625.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.900969 + 0.433884i) q^{2} +(-0.400259 + 1.68517i) q^{3} +(0.623490 - 0.781831i) q^{4} +(1.56628 + 1.45329i) q^{5} +(-0.370546 - 1.69195i) q^{6} +(-2.55067 - 0.702916i) q^{7} +(-0.222521 + 0.974928i) q^{8} +(-2.67959 - 1.34901i) q^{9} +O(q^{10})\) \(q+(-0.900969 + 0.433884i) q^{2} +(-0.400259 + 1.68517i) q^{3} +(0.623490 - 0.781831i) q^{4} +(1.56628 + 1.45329i) q^{5} +(-0.370546 - 1.69195i) q^{6} +(-2.55067 - 0.702916i) q^{7} +(-0.222521 + 0.974928i) q^{8} +(-2.67959 - 1.34901i) q^{9} +(-2.04173 - 0.629790i) q^{10} +(-0.485938 - 0.331307i) q^{11} +(1.06796 + 1.36362i) q^{12} +(-1.64981 - 1.12482i) q^{13} +(2.60306 - 0.473388i) q^{14} +(-3.07596 + 2.05775i) q^{15} +(-0.222521 - 0.974928i) q^{16} +(0.678229 - 0.102227i) q^{17} +(2.99954 + 0.0527861i) q^{18} +(-1.58297 - 2.74178i) q^{19} +(2.11279 - 0.318452i) q^{20} +(2.20546 - 4.01696i) q^{21} +(0.581563 + 0.0876566i) q^{22} +(-2.29450 - 5.84628i) q^{23} +(-1.55385 - 0.765209i) q^{24} +(-0.0324858 - 0.433493i) q^{25} +(1.97447 + 0.297603i) q^{26} +(3.34583 - 3.97560i) q^{27} +(-2.13988 + 1.55593i) q^{28} +(-5.59129 + 0.842751i) q^{29} +(1.87852 - 3.18858i) q^{30} -6.38016 q^{31} +(0.623490 + 0.781831i) q^{32} +(0.752809 - 0.686278i) q^{33} +(-0.566709 + 0.386375i) q^{34} +(-2.97351 - 4.80783i) q^{35} +(-2.72539 + 1.25389i) q^{36} +(-3.99397 + 10.1765i) q^{37} +(2.61582 + 1.78344i) q^{38} +(2.55587 - 2.32999i) q^{39} +(-1.76539 + 1.20362i) q^{40} +(7.52024 - 2.31969i) q^{41} +(-0.244158 + 4.57607i) q^{42} +(1.73179 + 0.534186i) q^{43} +(-0.562003 + 0.173355i) q^{44} +(-2.23647 - 6.00715i) q^{45} +(4.60387 + 4.27177i) q^{46} +(-1.41673 + 0.682263i) q^{47} +(1.73198 + 0.0152386i) q^{48} +(6.01182 + 3.58581i) q^{49} +(0.217354 + 0.376469i) q^{50} +(-0.0991984 + 1.18385i) q^{51} +(-1.90806 + 0.588559i) q^{52} +(0.779432 + 1.98596i) q^{53} +(-1.28955 + 5.03359i) q^{54} +(-0.279628 - 1.22513i) q^{55} +(1.25287 - 2.33030i) q^{56} +(5.25397 - 1.57015i) q^{57} +(4.67192 - 3.18526i) q^{58} +(-2.63788 - 11.5573i) q^{59} +(-0.309019 + 3.68787i) q^{60} +(-2.42537 - 3.04132i) q^{61} +(5.74833 - 2.76825i) q^{62} +(5.88649 + 5.32440i) q^{63} +(-0.900969 - 0.433884i) q^{64} +(-0.949366 - 4.15944i) q^{65} +(-0.380492 + 0.944947i) q^{66} -2.33933 q^{67} +(0.342945 - 0.593998i) q^{68} +(10.7704 - 1.52658i) q^{69} +(4.76508 + 3.04155i) q^{70} +(7.99592 - 10.0266i) q^{71} +(1.91145 - 2.31222i) q^{72} +(-7.43966 + 5.07227i) q^{73} +(-0.816962 - 10.9016i) q^{74} +(0.743512 + 0.118766i) q^{75} +(-3.13058 - 0.471859i) q^{76} +(1.00659 + 1.18663i) q^{77} +(-1.29181 + 3.20820i) q^{78} -10.1055 q^{79} +(1.06833 - 1.85040i) q^{80} +(5.36035 + 7.22957i) q^{81} +(-5.76903 + 5.35288i) q^{82} +(-2.54756 + 1.73690i) q^{83} +(-1.76550 - 4.22883i) q^{84} +(1.21086 + 0.825551i) q^{85} +(-1.79206 + 0.270110i) q^{86} +(0.817787 - 9.75958i) q^{87} +(0.431132 - 0.400032i) q^{88} +(-0.381881 - 5.09584i) q^{89} +(4.62139 + 4.44188i) q^{90} +(3.41747 + 4.02873i) q^{91} +(-6.00140 - 1.85119i) q^{92} +(2.55372 - 10.7516i) q^{93} +(0.980411 - 1.22940i) q^{94} +(1.50525 - 6.59492i) q^{95} +(-1.56708 + 0.737750i) q^{96} +(9.06134 - 15.6947i) q^{97} +(-6.97229 - 0.622273i) q^{98} +(0.855176 + 1.54330i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 56 q^{2} - 5 q^{3} - 56 q^{4} + 2 q^{5} - 5 q^{6} - 56 q^{8} - 15 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 56 q^{2} - 5 q^{3} - 56 q^{4} + 2 q^{5} - 5 q^{6} - 56 q^{8} - 15 q^{9} + 2 q^{10} + 2 q^{12} - 21 q^{13} - 7 q^{15} - 56 q^{16} + 7 q^{17} + 6 q^{18} - 34 q^{19} + 2 q^{20} + 16 q^{21} - 36 q^{23} + 2 q^{24} + 32 q^{25} + 7 q^{26} + 49 q^{27} - 16 q^{29} - 7 q^{30} + 92 q^{31} - 56 q^{32} + 14 q^{33} + 7 q^{34} + 16 q^{35} - 15 q^{36} - 26 q^{37} + q^{38} + 44 q^{39} + 2 q^{40} + 3 q^{41} - 33 q^{42} - 3 q^{43} + 106 q^{45} - 36 q^{46} + 27 q^{47} + 2 q^{48} - 74 q^{49} - 164 q^{50} - 7 q^{51} + 21 q^{52} - 78 q^{53} - 28 q^{54} - 53 q^{55} - 18 q^{57} + 40 q^{58} - 16 q^{59} - 7 q^{60} - 45 q^{61} - 20 q^{62} - 50 q^{63} - 56 q^{64} - 14 q^{65} + 14 q^{66} + 86 q^{67} - 21 q^{68} - 85 q^{69} - 26 q^{70} + 7 q^{71} + 6 q^{72} + 36 q^{73} + 2 q^{74} - 35 q^{75} + 8 q^{76} - 37 q^{77} - 12 q^{78} - 2 q^{79} - 12 q^{80} + 41 q^{81} + 3 q^{82} + 191 q^{83} - 5 q^{84} + 159 q^{85} - 3 q^{86} + 72 q^{87} + 59 q^{89} + 22 q^{90} - 29 q^{91} + 27 q^{92} + 23 q^{93} + 6 q^{94} + 26 q^{95} + 2 q^{96} - 113 q^{97} - 18 q^{98} - 33 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(785\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.900969 + 0.433884i −0.637081 + 0.306802i
\(3\) −0.400259 + 1.68517i −0.231090 + 0.972932i
\(4\) 0.623490 0.781831i 0.311745 0.390916i
\(5\) 1.56628 + 1.45329i 0.700461 + 0.649933i 0.947752 0.319008i \(-0.103350\pi\)
−0.247291 + 0.968941i \(0.579540\pi\)
\(6\) −0.370546 1.69195i −0.151275 0.690736i
\(7\) −2.55067 0.702916i −0.964062 0.265677i
\(8\) −0.222521 + 0.974928i −0.0786730 + 0.344689i
\(9\) −2.67959 1.34901i −0.893195 0.449669i
\(10\) −2.04173 0.629790i −0.645651 0.199157i
\(11\) −0.485938 0.331307i −0.146516 0.0998927i 0.487844 0.872931i \(-0.337784\pi\)
−0.634359 + 0.773038i \(0.718736\pi\)
\(12\) 1.06796 + 1.36362i 0.308294 + 0.393643i
\(13\) −1.64981 1.12482i −0.457575 0.311969i 0.312506 0.949916i \(-0.398832\pi\)
−0.770081 + 0.637946i \(0.779784\pi\)
\(14\) 2.60306 0.473388i 0.695696 0.126518i
\(15\) −3.07596 + 2.05775i −0.794210 + 0.531308i
\(16\) −0.222521 0.974928i −0.0556302 0.243732i
\(17\) 0.678229 0.102227i 0.164495 0.0247936i −0.0662785 0.997801i \(-0.521113\pi\)
0.230773 + 0.973008i \(0.425874\pi\)
\(18\) 2.99954 + 0.0527861i 0.706997 + 0.0124418i
\(19\) −1.58297 2.74178i −0.363158 0.629008i 0.625321 0.780368i \(-0.284968\pi\)
−0.988479 + 0.151360i \(0.951635\pi\)
\(20\) 2.11279 0.318452i 0.472434 0.0712080i
\(21\) 2.20546 4.01696i 0.481271 0.876572i
\(22\) 0.581563 + 0.0876566i 0.123990 + 0.0186884i
\(23\) −2.29450 5.84628i −0.478435 1.21903i −0.942791 0.333385i \(-0.891809\pi\)
0.464355 0.885649i \(-0.346286\pi\)
\(24\) −1.55385 0.765209i −0.317179 0.156198i
\(25\) −0.0324858 0.433493i −0.00649716 0.0866986i
\(26\) 1.97447 + 0.297603i 0.387225 + 0.0583648i
\(27\) 3.34583 3.97560i 0.643906 0.765104i
\(28\) −2.13988 + 1.55593i −0.404399 + 0.294044i
\(29\) −5.59129 + 0.842751i −1.03828 + 0.156495i −0.645988 0.763348i \(-0.723554\pi\)
−0.392288 + 0.919843i \(0.628316\pi\)
\(30\) 1.87852 3.18858i 0.342970 0.582152i
\(31\) −6.38016 −1.14591 −0.572956 0.819586i \(-0.694203\pi\)
−0.572956 + 0.819586i \(0.694203\pi\)
\(32\) 0.623490 + 0.781831i 0.110218 + 0.138210i
\(33\) 0.752809 0.686278i 0.131047 0.119466i
\(34\) −0.566709 + 0.386375i −0.0971897 + 0.0662628i
\(35\) −2.97351 4.80783i −0.502616 0.812672i
\(36\) −2.72539 + 1.25389i −0.454232 + 0.208982i
\(37\) −3.99397 + 10.1765i −0.656605 + 1.67300i 0.0800999 + 0.996787i \(0.474476\pi\)
−0.736705 + 0.676215i \(0.763619\pi\)
\(38\) 2.61582 + 1.78344i 0.424342 + 0.289312i
\(39\) 2.55587 2.32999i 0.409266 0.373097i
\(40\) −1.76539 + 1.20362i −0.279132 + 0.190309i
\(41\) 7.52024 2.31969i 1.17446 0.362274i 0.354703 0.934979i \(-0.384582\pi\)
0.819762 + 0.572705i \(0.194106\pi\)
\(42\) −0.244158 + 4.57607i −0.0376745 + 0.706102i
\(43\) 1.73179 + 0.534186i 0.264095 + 0.0814627i 0.423975 0.905674i \(-0.360634\pi\)
−0.159880 + 0.987137i \(0.551111\pi\)
\(44\) −0.562003 + 0.173355i −0.0847252 + 0.0261343i
\(45\) −2.23647 6.00715i −0.333393 0.895493i
\(46\) 4.60387 + 4.27177i 0.678804 + 0.629838i
\(47\) −1.41673 + 0.682263i −0.206652 + 0.0995183i −0.534347 0.845265i \(-0.679442\pi\)
0.327695 + 0.944784i \(0.393728\pi\)
\(48\) 1.73198 + 0.0152386i 0.249990 + 0.00219951i
\(49\) 6.01182 + 3.58581i 0.858831 + 0.512259i
\(50\) 0.217354 + 0.376469i 0.0307385 + 0.0532407i
\(51\) −0.0991984 + 1.18385i −0.0138906 + 0.165772i
\(52\) −1.90806 + 0.588559i −0.264601 + 0.0816185i
\(53\) 0.779432 + 1.98596i 0.107063 + 0.272793i 0.974358 0.225002i \(-0.0722387\pi\)
−0.867295 + 0.497794i \(0.834143\pi\)
\(54\) −1.28955 + 5.03359i −0.175485 + 0.684985i
\(55\) −0.279628 1.22513i −0.0377050 0.165196i
\(56\) 1.25287 2.33030i 0.167422 0.311400i
\(57\) 5.25397 1.57015i 0.695905 0.207971i
\(58\) 4.67192 3.18526i 0.613453 0.418245i
\(59\) −2.63788 11.5573i −0.343422 1.50463i −0.791796 0.610785i \(-0.790854\pi\)
0.448374 0.893846i \(-0.352003\pi\)
\(60\) −0.309019 + 3.68787i −0.0398941 + 0.476102i
\(61\) −2.42537 3.04132i −0.310537 0.389401i 0.601932 0.798547i \(-0.294398\pi\)
−0.912469 + 0.409147i \(0.865826\pi\)
\(62\) 5.74833 2.76825i 0.730038 0.351568i
\(63\) 5.88649 + 5.32440i 0.741629 + 0.670811i
\(64\) −0.900969 0.433884i −0.112621 0.0542355i
\(65\) −0.949366 4.15944i −0.117754 0.515916i
\(66\) −0.380492 + 0.944947i −0.0468354 + 0.116315i
\(67\) −2.33933 −0.285794 −0.142897 0.989738i \(-0.545642\pi\)
−0.142897 + 0.989738i \(0.545642\pi\)
\(68\) 0.342945 0.593998i 0.0415882 0.0720328i
\(69\) 10.7704 1.52658i 1.29660 0.183779i
\(70\) 4.76508 + 3.04155i 0.569536 + 0.363535i
\(71\) 7.99592 10.0266i 0.948941 1.18993i −0.0327523 0.999463i \(-0.510427\pi\)
0.981693 0.190470i \(-0.0610013\pi\)
\(72\) 1.91145 2.31222i 0.225267 0.272498i
\(73\) −7.43966 + 5.07227i −0.870746 + 0.593665i −0.914142 0.405393i \(-0.867135\pi\)
0.0433962 + 0.999058i \(0.486182\pi\)
\(74\) −0.816962 10.9016i −0.0949699 1.26729i
\(75\) 0.743512 + 0.118766i 0.0858533 + 0.0137139i
\(76\) −3.13058 0.471859i −0.359102 0.0541259i
\(77\) 1.00659 + 1.18663i 0.114711 + 0.135229i
\(78\) −1.29181 + 3.20820i −0.146269 + 0.363257i
\(79\) −10.1055 −1.13696 −0.568480 0.822697i \(-0.692468\pi\)
−0.568480 + 0.822697i \(0.692468\pi\)
\(80\) 1.06833 1.85040i 0.119443 0.206881i
\(81\) 5.36035 + 7.22957i 0.595595 + 0.803285i
\(82\) −5.76903 + 5.35288i −0.637083 + 0.591126i
\(83\) −2.54756 + 1.73690i −0.279631 + 0.190649i −0.695012 0.718998i \(-0.744601\pi\)
0.415380 + 0.909648i \(0.363648\pi\)
\(84\) −1.76550 4.22883i −0.192632 0.461403i
\(85\) 1.21086 + 0.825551i 0.131336 + 0.0895435i
\(86\) −1.79206 + 0.270110i −0.193243 + 0.0291267i
\(87\) 0.817787 9.75958i 0.0876759 1.04634i
\(88\) 0.431132 0.400032i 0.0459588 0.0426435i
\(89\) −0.381881 5.09584i −0.0404793 0.540158i −0.980173 0.198142i \(-0.936509\pi\)
0.939694 0.342016i \(-0.111110\pi\)
\(90\) 4.62139 + 4.44188i 0.487138 + 0.468216i
\(91\) 3.41747 + 4.02873i 0.358248 + 0.422325i
\(92\) −6.00140 1.85119i −0.625689 0.193000i
\(93\) 2.55372 10.7516i 0.264808 1.11489i
\(94\) 0.980411 1.22940i 0.101122 0.126803i
\(95\) 1.50525 6.59492i 0.154435 0.676624i
\(96\) −1.56708 + 0.737750i −0.159939 + 0.0752963i
\(97\) 9.06134 15.6947i 0.920040 1.59356i 0.120690 0.992690i \(-0.461489\pi\)
0.799350 0.600866i \(-0.205177\pi\)
\(98\) −6.97229 0.622273i −0.704307 0.0628591i
\(99\) 0.855176 + 1.54330i 0.0859484 + 0.155107i
\(100\) −0.359173 0.244880i −0.0359173 0.0244880i
\(101\) −1.88109 + 0.580241i −0.187176 + 0.0577361i −0.386926 0.922111i \(-0.626463\pi\)
0.199750 + 0.979847i \(0.435987\pi\)
\(102\) −0.424277 1.10965i −0.0420097 0.109872i
\(103\) 2.65516 + 2.46362i 0.261620 + 0.242748i 0.800066 0.599912i \(-0.204798\pi\)
−0.538446 + 0.842660i \(0.680988\pi\)
\(104\) 1.46374 1.35815i 0.143531 0.133178i
\(105\) 9.29218 3.08649i 0.906824 0.301211i
\(106\) −1.56392 1.45111i −0.151901 0.140944i
\(107\) 0.248572 + 3.31697i 0.0240304 + 0.320664i 0.996245 + 0.0865739i \(0.0275919\pi\)
−0.972215 + 0.234090i \(0.924789\pi\)
\(108\) −1.02215 5.09462i −0.0983569 0.490230i
\(109\) −0.861557 + 11.4967i −0.0825222 + 1.10118i 0.790162 + 0.612898i \(0.209996\pi\)
−0.872684 + 0.488285i \(0.837623\pi\)
\(110\) 0.783499 + 0.982477i 0.0747037 + 0.0936755i
\(111\) −15.5504 10.8037i −1.47598 1.02545i
\(112\) −0.117715 + 2.64313i −0.0111230 + 0.249752i
\(113\) −0.0872447 1.16420i −0.00820729 0.109519i 0.991596 0.129377i \(-0.0412976\pi\)
−0.999803 + 0.0198580i \(0.993679\pi\)
\(114\) −4.05240 + 3.69426i −0.379542 + 0.345999i
\(115\) 4.90254 12.4915i 0.457165 1.16484i
\(116\) −2.82722 + 4.89689i −0.262501 + 0.454665i
\(117\) 2.90341 + 5.23966i 0.268421 + 0.484407i
\(118\) 7.39116 + 9.26823i 0.680412 + 0.853209i
\(119\) −1.80179 0.215992i −0.165170 0.0197999i
\(120\) −1.32169 3.45673i −0.120653 0.315555i
\(121\) −3.89238 9.91762i −0.353853 0.901602i
\(122\) 3.50476 + 1.68780i 0.317306 + 0.152807i
\(123\) 0.899018 + 13.6013i 0.0810617 + 1.22639i
\(124\) −3.97797 + 4.98821i −0.357232 + 0.447955i
\(125\) 7.24002 9.07870i 0.647567 0.812024i
\(126\) −7.61372 2.24306i −0.678284 0.199828i
\(127\) 0.925787 + 1.16090i 0.0821503 + 0.103013i 0.821208 0.570629i \(-0.193300\pi\)
−0.739058 + 0.673642i \(0.764729\pi\)
\(128\) 1.00000 0.0883883
\(129\) −1.59336 + 2.70454i −0.140287 + 0.238122i
\(130\) 2.66006 + 3.33562i 0.233303 + 0.292553i
\(131\) −3.62070 1.11684i −0.316342 0.0975785i 0.132518 0.991181i \(-0.457694\pi\)
−0.448860 + 0.893602i \(0.648170\pi\)
\(132\) −0.0671855 1.01646i −0.00584774 0.0884712i
\(133\) 2.11039 + 8.10607i 0.182994 + 0.702886i
\(134\) 2.10766 1.01500i 0.182074 0.0876823i
\(135\) 11.0182 1.36441i 0.948298 0.117430i
\(136\) −0.0512566 + 0.683972i −0.00439522 + 0.0586501i
\(137\) 4.36124 4.04664i 0.372606 0.345727i −0.471537 0.881846i \(-0.656301\pi\)
0.844142 + 0.536119i \(0.180110\pi\)
\(138\) −9.04140 + 6.04849i −0.769655 + 0.514882i
\(139\) −8.34845 + 2.57516i −0.708106 + 0.218422i −0.627830 0.778351i \(-0.716057\pi\)
−0.0802766 + 0.996773i \(0.525580\pi\)
\(140\) −5.61287 0.672848i −0.474374 0.0568661i
\(141\) −0.582668 2.66052i −0.0490695 0.224056i
\(142\) −2.85371 + 12.5029i −0.239478 + 1.04922i
\(143\) 0.429044 + 1.09319i 0.0358785 + 0.0914169i
\(144\) −0.718922 + 2.91258i −0.0599102 + 0.242715i
\(145\) −9.98227 6.80580i −0.828983 0.565191i
\(146\) 4.50212 7.79791i 0.372598 0.645359i
\(147\) −8.44898 + 8.69567i −0.696860 + 0.717207i
\(148\) 5.46609 + 9.46754i 0.449309 + 0.778227i
\(149\) −1.60203 + 21.3776i −0.131243 + 1.75132i 0.411489 + 0.911415i \(0.365009\pi\)
−0.542732 + 0.839906i \(0.682610\pi\)
\(150\) −0.721411 + 0.215594i −0.0589030 + 0.0176031i
\(151\) 9.38359 + 1.41435i 0.763626 + 0.115098i 0.519297 0.854594i \(-0.326194\pi\)
0.244330 + 0.969692i \(0.421432\pi\)
\(152\) 3.02529 0.933177i 0.245383 0.0756906i
\(153\) −1.95528 0.641012i −0.158075 0.0518227i
\(154\) −1.42176 0.632373i −0.114569 0.0509581i
\(155\) −9.99311 9.27225i −0.802666 0.744765i
\(156\) −0.228102 3.45098i −0.0182628 0.276300i
\(157\) 2.44105 + 10.6950i 0.194817 + 0.853550i 0.973963 + 0.226707i \(0.0727960\pi\)
−0.779146 + 0.626843i \(0.784347\pi\)
\(158\) 9.10475 4.38462i 0.724335 0.348821i
\(159\) −3.65865 + 0.518575i −0.290150 + 0.0411257i
\(160\) −0.159672 + 2.13068i −0.0126232 + 0.168445i
\(161\) 1.74306 + 16.5248i 0.137372 + 1.30233i
\(162\) −7.96630 4.18784i −0.625892 0.329028i
\(163\) −17.6152 + 16.3445i −1.37973 + 1.28020i −0.459845 + 0.887999i \(0.652095\pi\)
−0.919880 + 0.392199i \(0.871714\pi\)
\(164\) 2.87519 7.32586i 0.224515 0.572054i
\(165\) 2.17647 + 0.0191494i 0.169438 + 0.00149078i
\(166\) 1.54166 2.67024i 0.119656 0.207251i
\(167\) −3.93471 + 10.0255i −0.304477 + 0.775794i 0.693966 + 0.720008i \(0.255862\pi\)
−0.998443 + 0.0557864i \(0.982233\pi\)
\(168\) 3.42548 + 3.04402i 0.264282 + 0.234851i
\(169\) −3.29278 8.38987i −0.253291 0.645375i
\(170\) −1.44914 0.218423i −0.111144 0.0167523i
\(171\) 0.543013 + 9.48228i 0.0415252 + 0.725128i
\(172\) 1.49740 1.02091i 0.114175 0.0778435i
\(173\) −5.78373 + 7.25256i −0.439729 + 0.551402i −0.951472 0.307736i \(-0.900429\pi\)
0.511743 + 0.859139i \(0.329000\pi\)
\(174\) 3.49772 + 9.14790i 0.265162 + 0.693500i
\(175\) −0.221849 + 1.12853i −0.0167702 + 0.0853090i
\(176\) −0.214869 + 0.547477i −0.0161964 + 0.0412676i
\(177\) 20.5318 + 0.180646i 1.54327 + 0.0135782i
\(178\) 2.55507 + 4.42551i 0.191510 + 0.331706i
\(179\) −18.8686 + 2.84399i −1.41031 + 0.212570i −0.809639 0.586929i \(-0.800337\pi\)
−0.600669 + 0.799498i \(0.705099\pi\)
\(180\) −6.09099 1.99685i −0.453996 0.148837i
\(181\) −10.4967 5.05496i −0.780216 0.375732i 0.000994933 1.00000i \(-0.499683\pi\)
−0.781211 + 0.624267i \(0.785398\pi\)
\(182\) −4.82703 2.14697i −0.357803 0.159144i
\(183\) 6.09591 2.86984i 0.450623 0.212145i
\(184\) 6.21027 0.936048i 0.457828 0.0690064i
\(185\) −21.0451 + 10.1348i −1.54726 + 0.745123i
\(186\) 2.36414 + 10.7949i 0.173347 + 0.791522i
\(187\) −0.363445 0.175026i −0.0265778 0.0127992i
\(188\) −0.349905 + 1.53303i −0.0255194 + 0.111808i
\(189\) −11.3286 + 7.78860i −0.824036 + 0.566537i
\(190\) 1.50525 + 6.59492i 0.109202 + 0.478446i
\(191\) 2.70868 11.8675i 0.195993 0.858702i −0.777299 0.629132i \(-0.783411\pi\)
0.973292 0.229571i \(-0.0737322\pi\)
\(192\) 1.09179 1.34462i 0.0787930 0.0970395i
\(193\) −4.58606 + 20.0928i −0.330112 + 1.44631i 0.488800 + 0.872396i \(0.337435\pi\)
−0.818912 + 0.573919i \(0.805422\pi\)
\(194\) −1.35431 + 18.0720i −0.0972338 + 1.29749i
\(195\) 7.38936 + 0.0650142i 0.529163 + 0.00465577i
\(196\) 6.55181 2.46451i 0.467986 0.176037i
\(197\) 10.5890 0.754437 0.377218 0.926124i \(-0.376881\pi\)
0.377218 + 0.926124i \(0.376881\pi\)
\(198\) −1.44010 1.01942i −0.102343 0.0724468i
\(199\) −13.6765 12.6899i −0.969502 0.899566i 0.0254746 0.999675i \(-0.491890\pi\)
−0.994976 + 0.100109i \(0.968081\pi\)
\(200\) 0.429853 + 0.0647900i 0.0303952 + 0.00458134i
\(201\) 0.936337 3.94216i 0.0660441 0.278058i
\(202\) 1.44305 1.33895i 0.101533 0.0942085i
\(203\) 14.8539 + 1.78063i 1.04254 + 0.124975i
\(204\) 0.863720 + 0.815673i 0.0604725 + 0.0571085i
\(205\) 15.1500 + 7.29584i 1.05812 + 0.509564i
\(206\) −3.46114 1.06762i −0.241149 0.0743846i
\(207\) −1.73838 + 18.7609i −0.120826 + 1.30397i
\(208\) −0.729503 + 1.85874i −0.0505819 + 0.128881i
\(209\) −0.139147 + 1.85678i −0.00962498 + 0.128436i
\(210\) −7.03279 + 6.81256i −0.485309 + 0.470111i
\(211\) −1.16091 15.4913i −0.0799206 1.06647i −0.882621 0.470085i \(-0.844223\pi\)
0.802701 0.596382i \(-0.203396\pi\)
\(212\) 2.03865 + 0.628842i 0.140015 + 0.0431890i
\(213\) 13.6960 + 17.4877i 0.938435 + 1.19824i
\(214\) −1.66314 2.88063i −0.113690 0.196916i
\(215\) 1.93614 + 3.35348i 0.132043 + 0.228706i
\(216\) 3.13140 + 4.14660i 0.213065 + 0.282141i
\(217\) 16.2737 + 4.48472i 1.10473 + 0.304442i
\(218\) −4.21199 10.7320i −0.285272 0.726861i
\(219\) −5.56984 14.5673i −0.376375 0.984367i
\(220\) −1.13219 0.545234i −0.0763322 0.0367596i
\(221\) −1.23394 0.594232i −0.0830035 0.0399724i
\(222\) 18.6980 + 2.98675i 1.25493 + 0.200457i
\(223\) −5.55801 14.1616i −0.372192 0.948330i −0.987154 0.159773i \(-0.948924\pi\)
0.614962 0.788557i \(-0.289171\pi\)
\(224\) −1.04075 2.43245i −0.0695383 0.162525i
\(225\) −0.497737 + 1.20541i −0.0331825 + 0.0803604i
\(226\) 0.583732 + 1.01105i 0.0388293 + 0.0672543i
\(227\) −3.17540 5.49995i −0.210759 0.365044i 0.741194 0.671291i \(-0.234260\pi\)
−0.951952 + 0.306247i \(0.900927\pi\)
\(228\) 2.04820 5.08669i 0.135646 0.336874i
\(229\) −14.3948 4.44020i −0.951233 0.293416i −0.219966 0.975508i \(-0.570594\pi\)
−0.731267 + 0.682091i \(0.761071\pi\)
\(230\) 1.00281 + 13.3816i 0.0661233 + 0.882354i
\(231\) −2.40256 + 1.22131i −0.158077 + 0.0803561i
\(232\) 0.422557 5.63863i 0.0277422 0.370194i
\(233\) −5.41898 + 13.8073i −0.355009 + 0.904549i 0.636113 + 0.771596i \(0.280541\pi\)
−0.991122 + 0.132953i \(0.957554\pi\)
\(234\) −4.88929 3.46103i −0.319623 0.226255i
\(235\) −3.21053 0.990317i −0.209432 0.0646012i
\(236\) −10.6805 5.14348i −0.695244 0.334812i
\(237\) 4.04482 17.0295i 0.262740 1.10618i
\(238\) 1.71708 0.587167i 0.111301 0.0380604i
\(239\) −0.189102 + 0.175461i −0.0122320 + 0.0113496i −0.686265 0.727352i \(-0.740751\pi\)
0.674033 + 0.738701i \(0.264561\pi\)
\(240\) 2.69062 + 2.54095i 0.173679 + 0.164018i
\(241\) −16.6066 2.50304i −1.06972 0.161235i −0.409504 0.912308i \(-0.634298\pi\)
−0.660219 + 0.751074i \(0.729536\pi\)
\(242\) 7.81001 + 7.24663i 0.502046 + 0.465831i
\(243\) −14.3286 + 6.13940i −0.919178 + 0.393843i
\(244\) −3.88999 −0.249031
\(245\) 4.20495 + 14.3533i 0.268644 + 0.917000i
\(246\) −6.71139 11.8643i −0.427903 0.756442i
\(247\) −0.472418 + 6.30398i −0.0300593 + 0.401113i
\(248\) 1.41972 6.22020i 0.0901523 0.394983i
\(249\) −1.90728 4.98828i −0.120869 0.316119i
\(250\) −2.58393 + 11.3210i −0.163422 + 0.716000i
\(251\) 3.94379 + 17.2789i 0.248930 + 1.09063i 0.932620 + 0.360861i \(0.117517\pi\)
−0.683690 + 0.729773i \(0.739626\pi\)
\(252\) 7.83295 1.28254i 0.493429 0.0807924i
\(253\) −0.821930 + 3.60111i −0.0516743 + 0.226400i
\(254\) −1.33780 0.644251i −0.0839411 0.0404239i
\(255\) −1.87585 + 1.71007i −0.117470 + 0.107089i
\(256\) −0.900969 + 0.433884i −0.0563106 + 0.0271177i
\(257\) −1.76441 + 0.265942i −0.110061 + 0.0165890i −0.203842 0.979004i \(-0.565343\pi\)
0.0937810 + 0.995593i \(0.470105\pi\)
\(258\) 0.262109 3.12804i 0.0163182 0.194743i
\(259\) 17.3405 23.1494i 1.07749 1.43843i
\(260\) −3.84390 1.85113i −0.238389 0.114802i
\(261\) 16.1192 + 5.28447i 0.997754 + 0.327100i
\(262\) 3.74671 0.564726i 0.231473 0.0348889i
\(263\) 4.42768 + 7.66896i 0.273022 + 0.472888i 0.969634 0.244560i \(-0.0786434\pi\)
−0.696612 + 0.717448i \(0.745310\pi\)
\(264\) 0.501556 + 0.886646i 0.0308687 + 0.0545693i
\(265\) −1.66538 + 4.24331i −0.102303 + 0.260665i
\(266\) −5.41849 6.38766i −0.332229 0.391652i
\(267\) 8.74021 + 1.39613i 0.534892 + 0.0854415i
\(268\) −1.45855 + 1.82896i −0.0890949 + 0.111721i
\(269\) 10.9409 7.45941i 0.667081 0.454808i −0.181840 0.983328i \(-0.558205\pi\)
0.848921 + 0.528520i \(0.177253\pi\)
\(270\) −9.33508 + 6.00992i −0.568115 + 0.365752i
\(271\) 3.46309 + 0.521977i 0.210368 + 0.0317078i 0.253380 0.967367i \(-0.418458\pi\)
−0.0430128 + 0.999075i \(0.513696\pi\)
\(272\) −0.250584 0.638477i −0.0151939 0.0387133i
\(273\) −8.15695 + 4.14647i −0.493681 + 0.250956i
\(274\) −2.17357 + 5.53816i −0.131310 + 0.334573i
\(275\) −0.127833 + 0.221413i −0.00770863 + 0.0133517i
\(276\) 5.52168 9.37242i 0.332366 0.564153i
\(277\) 3.21805 8.19947i 0.193354 0.492658i −0.801013 0.598647i \(-0.795705\pi\)
0.994367 + 0.105988i \(0.0338006\pi\)
\(278\) 6.40437 5.94239i 0.384109 0.356401i
\(279\) 17.0962 + 8.60689i 1.02352 + 0.515281i
\(280\) 5.34896 1.82912i 0.319661 0.109311i
\(281\) −0.143274 + 1.91186i −0.00854703 + 0.114052i −0.999845 0.0175817i \(-0.994403\pi\)
0.991298 + 0.131634i \(0.0420223\pi\)
\(282\) 1.67932 + 2.14423i 0.100002 + 0.127687i
\(283\) −18.3528 + 8.83822i −1.09096 + 0.525378i −0.890805 0.454387i \(-0.849858\pi\)
−0.200154 + 0.979764i \(0.564144\pi\)
\(284\) −2.85371 12.5029i −0.169336 0.741912i
\(285\) 10.5111 + 5.17627i 0.622621 + 0.306616i
\(286\) −0.860872 0.798772i −0.0509044 0.0472324i
\(287\) −20.8122 + 0.630656i −1.22850 + 0.0372265i
\(288\) −0.615997 2.93608i −0.0362980 0.173010i
\(289\) −15.7952 + 4.87217i −0.929129 + 0.286598i
\(290\) 11.9466 + 1.80067i 0.701531 + 0.105739i
\(291\) 22.8213 + 21.5518i 1.33781 + 1.26339i
\(292\) −0.672888 + 8.97907i −0.0393778 + 0.525460i
\(293\) 6.55628 + 11.3558i 0.383022 + 0.663414i 0.991493 0.130163i \(-0.0415500\pi\)
−0.608471 + 0.793576i \(0.708217\pi\)
\(294\) 3.83936 11.5004i 0.223916 0.670717i
\(295\) 12.6645 21.9355i 0.737355 1.27714i
\(296\) −9.03258 6.15831i −0.525008 0.357945i
\(297\) −2.94301 + 0.823396i −0.170771 + 0.0477783i
\(298\) −7.83201 19.9556i −0.453696 1.15600i
\(299\) −2.79054 + 12.2262i −0.161381 + 0.707057i
\(300\) 0.556427 0.507252i 0.0321253 0.0292862i
\(301\) −4.04173 2.57984i −0.232962 0.148699i
\(302\) −9.06799 + 2.79710i −0.521804 + 0.160955i
\(303\) −0.224878 3.40221i −0.0129189 0.195452i
\(304\) −2.32080 + 2.15339i −0.133107 + 0.123505i
\(305\) 0.621124 8.28833i 0.0355655 0.474588i
\(306\) 2.03977 0.270831i 0.116606 0.0154824i
\(307\) 7.37965 3.55385i 0.421179 0.202829i −0.211276 0.977427i \(-0.567762\pi\)
0.632455 + 0.774597i \(0.282047\pi\)
\(308\) 1.55534 0.0471303i 0.0886236 0.00268550i
\(309\) −5.21437 + 3.48830i −0.296635 + 0.198442i
\(310\) 13.0266 + 4.01816i 0.739859 + 0.228216i
\(311\) −5.72600 7.18017i −0.324691 0.407150i 0.592517 0.805558i \(-0.298134\pi\)
−0.917208 + 0.398408i \(0.869563\pi\)
\(312\) 1.70284 + 3.01026i 0.0964042 + 0.170422i
\(313\) −4.56255 −0.257891 −0.128945 0.991652i \(-0.541159\pi\)
−0.128945 + 0.991652i \(0.541159\pi\)
\(314\) −6.83968 8.57668i −0.385985 0.484010i
\(315\) 1.48198 + 16.8943i 0.0834999 + 0.951886i
\(316\) −6.30068 + 7.90081i −0.354441 + 0.444455i
\(317\) −6.31464 + 7.91831i −0.354666 + 0.444737i −0.926875 0.375371i \(-0.877515\pi\)
0.572209 + 0.820108i \(0.306087\pi\)
\(318\) 3.07133 2.05465i 0.172232 0.115219i
\(319\) 2.99623 + 1.44291i 0.167756 + 0.0807872i
\(320\) −0.780607 1.98896i −0.0436373 0.111186i
\(321\) −5.68915 0.908761i −0.317537 0.0507221i
\(322\) −8.74026 14.1320i −0.487076 0.787546i
\(323\) −1.35390 1.69774i −0.0753329 0.0944645i
\(324\) 8.99443 + 0.316668i 0.499690 + 0.0175926i
\(325\) −0.434007 + 0.751722i −0.0240744 + 0.0416981i
\(326\) 8.77911 22.3688i 0.486230 1.23889i
\(327\) −19.0290 6.05352i −1.05231 0.334761i
\(328\) 0.588117 + 7.84787i 0.0324733 + 0.433326i
\(329\) 4.09319 0.744383i 0.225665 0.0410391i
\(330\) −1.96924 + 0.927083i −0.108403 + 0.0510342i
\(331\) 13.6981 + 17.1769i 0.752918 + 0.944130i 0.999689 0.0249443i \(-0.00794083\pi\)
−0.246771 + 0.969074i \(0.579369\pi\)
\(332\) −0.230417 + 3.07470i −0.0126458 + 0.168746i
\(333\) 24.4303 21.8808i 1.33877 1.19906i
\(334\) −0.804840 10.7398i −0.0440389 0.587658i
\(335\) −3.66404 3.39973i −0.200188 0.185747i
\(336\) −4.40700 1.25631i −0.240422 0.0685372i
\(337\) 26.4134 24.5080i 1.43883 1.33504i 0.588826 0.808260i \(-0.299590\pi\)
0.850003 0.526778i \(-0.176600\pi\)
\(338\) 6.60692 + 6.13033i 0.359369 + 0.333446i
\(339\) 1.99679 + 0.318960i 0.108451 + 0.0173235i
\(340\) 1.40040 0.431966i 0.0759474 0.0234267i
\(341\) 3.10036 + 2.11379i 0.167894 + 0.114468i
\(342\) −4.60345 8.30764i −0.248926 0.449225i
\(343\) −12.8136 13.3720i −0.691871 0.722021i
\(344\) −0.906153 + 1.56950i −0.0488565 + 0.0846219i
\(345\) 19.0880 + 13.2614i 1.02766 + 0.713972i
\(346\) 2.06419 9.04380i 0.110971 0.486198i
\(347\) 16.3284 20.4751i 0.876554 1.09916i −0.117799 0.993037i \(-0.537584\pi\)
0.994353 0.106126i \(-0.0338447\pi\)
\(348\) −7.12046 6.72437i −0.381697 0.360464i
\(349\) −24.9567 7.69811i −1.33590 0.412070i −0.457165 0.889382i \(-0.651135\pi\)
−0.878734 + 0.477312i \(0.841611\pi\)
\(350\) −0.289773 1.11303i −0.0154890 0.0594939i
\(351\) −9.99184 + 2.79552i −0.533325 + 0.149214i
\(352\) −0.0439512 0.586488i −0.00234261 0.0312599i
\(353\) −18.7808 + 17.4260i −0.999600 + 0.927494i −0.997368 0.0725039i \(-0.976901\pi\)
−0.00223222 + 0.999998i \(0.500711\pi\)
\(354\) −18.5769 + 8.74566i −0.987351 + 0.464827i
\(355\) 27.0954 4.08397i 1.43807 0.216755i
\(356\) −4.22219 2.87864i −0.223776 0.152568i
\(357\) 1.08517 2.94987i 0.0574331 0.156124i
\(358\) 15.7661 10.7491i 0.833263 0.568109i
\(359\) −19.5236 + 18.1152i −1.03042 + 0.956086i −0.999057 0.0434224i \(-0.986174\pi\)
−0.0313586 + 0.999508i \(0.509983\pi\)
\(360\) 6.35420 0.843682i 0.334896 0.0444659i
\(361\) 4.48842 7.77416i 0.236232 0.409167i
\(362\) 11.6505 0.612336
\(363\) 18.2708 2.58970i 0.958970 0.135924i
\(364\) 5.28054 0.160012i 0.276775 0.00838692i
\(365\) −19.0241 2.86742i −0.995766 0.150088i
\(366\) −4.24705 + 5.23055i −0.221997 + 0.273405i
\(367\) 1.71147 + 22.8379i 0.0893378 + 1.19213i 0.844120 + 0.536154i \(0.180123\pi\)
−0.754782 + 0.655975i \(0.772258\pi\)
\(368\) −5.18913 + 3.53789i −0.270502 + 0.184425i
\(369\) −23.2804 3.92907i −1.21193 0.204539i
\(370\) 14.5636 18.2622i 0.757128 0.949408i
\(371\) −0.592110 5.61340i −0.0307408 0.291433i
\(372\) −6.81376 8.70012i −0.353277 0.451080i
\(373\) −8.41429 + 14.5740i −0.435676 + 0.754612i −0.997351 0.0727458i \(-0.976824\pi\)
0.561675 + 0.827358i \(0.310157\pi\)
\(374\) 0.403394 0.0208590
\(375\) 12.4013 + 15.8345i 0.640398 + 0.817690i
\(376\) −0.349905 1.53303i −0.0180449 0.0790601i
\(377\) 10.1725 + 4.89882i 0.523911 + 0.252302i
\(378\) 6.82740 11.9326i 0.351163 0.613746i
\(379\) −5.01175 + 2.41353i −0.257436 + 0.123975i −0.558151 0.829739i \(-0.688489\pi\)
0.300715 + 0.953714i \(0.402775\pi\)
\(380\) −4.21761 5.28871i −0.216359 0.271305i
\(381\) −2.32687 + 1.09545i −0.119209 + 0.0561214i
\(382\) 2.70868 + 11.8675i 0.138588 + 0.607194i
\(383\) 20.3087 13.8462i 1.03772 0.707509i 0.0804705 0.996757i \(-0.474358\pi\)
0.957254 + 0.289248i \(0.0934053\pi\)
\(384\) −0.400259 + 1.68517i −0.0204256 + 0.0859959i
\(385\) −0.147925 + 3.32145i −0.00753896 + 0.169277i
\(386\) −4.58606 20.0928i −0.233424 1.02270i
\(387\) −3.91986 3.76760i −0.199258 0.191518i
\(388\) −6.62096 16.8699i −0.336128 0.856441i
\(389\) 15.8799 4.89829i 0.805141 0.248353i 0.135249 0.990812i \(-0.456817\pi\)
0.669892 + 0.742458i \(0.266340\pi\)
\(390\) −6.68579 + 3.14755i −0.338548 + 0.159382i
\(391\) −2.15384 3.73056i −0.108924 0.188662i
\(392\) −4.83366 + 5.06317i −0.244137 + 0.255729i
\(393\) 3.33128 5.65446i 0.168041 0.285230i
\(394\) −9.54038 + 4.59440i −0.480637 + 0.231463i
\(395\) −15.8280 14.6863i −0.796395 0.738947i
\(396\) 1.73979 + 0.293627i 0.0874279 + 0.0147553i
\(397\) 6.92783 2.13695i 0.347698 0.107251i −0.115987 0.993251i \(-0.537003\pi\)
0.463685 + 0.886000i \(0.346527\pi\)
\(398\) 17.8281 + 5.49923i 0.893640 + 0.275652i
\(399\) −14.5048 + 0.311827i −0.726148 + 0.0156109i
\(400\) −0.415396 + 0.128133i −0.0207698 + 0.00640663i
\(401\) 27.1009 18.4771i 1.35335 0.922700i 0.353434 0.935460i \(-0.385014\pi\)
0.999919 + 0.0127595i \(0.00406159\pi\)
\(402\) 0.866828 + 3.95802i 0.0432335 + 0.197408i
\(403\) 10.5261 + 7.17655i 0.524341 + 0.357489i
\(404\) −0.719192 + 1.83247i −0.0357812 + 0.0911689i
\(405\) −2.11088 + 19.1137i −0.104890 + 0.949766i
\(406\) −14.1555 + 4.84058i −0.702525 + 0.240234i
\(407\) 5.31235 3.62190i 0.263324 0.179531i
\(408\) −1.13209 0.360142i −0.0560469 0.0178297i
\(409\) 7.62023 + 9.55546i 0.376796 + 0.472487i 0.933683 0.358101i \(-0.116576\pi\)
−0.556887 + 0.830588i \(0.688004\pi\)
\(410\) −16.8152 −0.830444
\(411\) 5.07364 + 8.96912i 0.250264 + 0.442414i
\(412\) 3.58160 0.539839i 0.176453 0.0265960i
\(413\) −1.39545 + 31.3330i −0.0686659 + 1.54180i
\(414\) −6.57382 17.6572i −0.323086 0.867806i
\(415\) −6.51441 0.981890i −0.319780 0.0481991i
\(416\) −0.149219 1.99119i −0.00731606 0.0976261i
\(417\) −0.998027 15.0993i −0.0488736 0.739415i
\(418\) −0.680262 1.73328i −0.0332727 0.0847774i
\(419\) 28.8836 + 4.35350i 1.41105 + 0.212682i 0.809955 0.586492i \(-0.199491\pi\)
0.601099 + 0.799174i \(0.294730\pi\)
\(420\) 3.38047 9.18932i 0.164950 0.448393i
\(421\) 3.77848 0.569515i 0.184152 0.0277564i −0.0563187 0.998413i \(-0.517936\pi\)
0.240471 + 0.970656i \(0.422698\pi\)
\(422\) 7.76738 + 13.4535i 0.378110 + 0.654906i
\(423\) 4.71664 + 0.0830038i 0.229331 + 0.00403579i
\(424\) −2.10961 + 0.317972i −0.102452 + 0.0154421i
\(425\) −0.0663473 0.290687i −0.00321832 0.0141004i
\(426\) −19.9273 9.81339i −0.965481 0.475460i
\(427\) 4.04853 + 9.46223i 0.195922 + 0.457909i
\(428\) 2.74829 + 1.87375i 0.132844 + 0.0905714i
\(429\) −2.01393 + 0.285454i −0.0972336 + 0.0137818i
\(430\) −3.19942 2.18133i −0.154290 0.105193i
\(431\) −10.9811 3.38723i −0.528942 0.163157i 0.0187701 0.999824i \(-0.494025\pi\)
−0.547712 + 0.836667i \(0.684501\pi\)
\(432\) −4.62044 2.37729i −0.222301 0.114378i
\(433\) 6.08244 26.6489i 0.292304 1.28067i −0.589007 0.808128i \(-0.700481\pi\)
0.881310 0.472538i \(-0.156662\pi\)
\(434\) −16.6079 + 3.02029i −0.797206 + 0.144979i
\(435\) 15.4644 14.0977i 0.741462 0.675934i
\(436\) 8.45130 + 7.84166i 0.404744 + 0.375547i
\(437\) −12.3971 + 15.5455i −0.593035 + 0.743642i
\(438\) 11.3388 + 10.7080i 0.541787 + 0.511649i
\(439\) −19.4170 + 9.35073i −0.926722 + 0.446286i −0.835466 0.549542i \(-0.814802\pi\)
−0.0912558 + 0.995827i \(0.529088\pi\)
\(440\) 1.25664 0.0599077
\(441\) −11.2719 17.7185i −0.536757 0.843737i
\(442\) 1.36957 0.0651436
\(443\) 6.87680 3.31169i 0.326726 0.157343i −0.263329 0.964706i \(-0.584820\pi\)
0.590055 + 0.807363i \(0.299106\pi\)
\(444\) −18.1422 + 5.42181i −0.860993 + 0.257307i
\(445\) 6.80763 8.53650i 0.322713 0.404669i
\(446\) 11.1521 + 10.3476i 0.528066 + 0.489974i
\(447\) −35.3836 11.2563i −1.67359 0.532403i
\(448\) 1.99309 + 1.74000i 0.0941646 + 0.0822072i
\(449\) 3.00122 13.1492i 0.141636 0.620550i −0.853419 0.521226i \(-0.825475\pi\)
0.995055 0.0993240i \(-0.0316680\pi\)
\(450\) −0.0745600 1.30199i −0.00351479 0.0613765i
\(451\) −4.42290 1.36428i −0.208266 0.0642416i
\(452\) −0.964604 0.657656i −0.0453711 0.0309335i
\(453\) −6.13929 + 15.2468i −0.288449 + 0.716359i
\(454\) 5.24727 + 3.57753i 0.246267 + 0.167902i
\(455\) −0.502221 + 11.2767i −0.0235445 + 0.528659i
\(456\) 0.361662 + 5.47163i 0.0169364 + 0.256232i
\(457\) −4.10436 17.9824i −0.191994 0.841181i −0.975536 0.219841i \(-0.929446\pi\)
0.783542 0.621339i \(-0.213411\pi\)
\(458\) 14.8958 2.24517i 0.696033 0.104910i
\(459\) 1.86283 3.03840i 0.0869495 0.141820i
\(460\) −6.70954 11.6213i −0.312834 0.541845i
\(461\) 25.7560 3.88209i 1.19958 0.180807i 0.481294 0.876559i \(-0.340167\pi\)
0.718282 + 0.695752i \(0.244929\pi\)
\(462\) 1.63473 2.14279i 0.0760544 0.0996917i
\(463\) 14.3238 + 2.15897i 0.665686 + 0.100336i 0.473188 0.880961i \(-0.343103\pi\)
0.192498 + 0.981297i \(0.438341\pi\)
\(464\) 2.06580 + 5.26357i 0.0959023 + 0.244355i
\(465\) 19.6251 13.1288i 0.910094 0.608832i
\(466\) −1.10845 14.7912i −0.0513478 0.685189i
\(467\) −35.5314 5.35550i −1.64420 0.247823i −0.739277 0.673401i \(-0.764833\pi\)
−0.904922 + 0.425578i \(0.860071\pi\)
\(468\) 5.90678 + 0.996897i 0.273041 + 0.0460816i
\(469\) 5.96685 + 1.64435i 0.275523 + 0.0759290i
\(470\) 3.32227 0.500752i 0.153245 0.0230980i
\(471\) −18.9998 0.167168i −0.875467 0.00770267i
\(472\) 11.8545 0.545648
\(473\) −0.664563 0.833335i −0.0305566 0.0383168i
\(474\) 3.74456 + 17.0980i 0.171993 + 0.785338i
\(475\) −1.13712 + 0.775275i −0.0521747 + 0.0355721i
\(476\) −1.29227 + 1.27403i −0.0592311 + 0.0583951i
\(477\) 0.590523 6.37301i 0.0270382 0.291800i
\(478\) 0.0942453 0.240133i 0.00431068 0.0109834i
\(479\) −4.87696 3.32505i −0.222834 0.151926i 0.446758 0.894655i \(-0.352579\pi\)
−0.669592 + 0.742729i \(0.733531\pi\)
\(480\) −3.52664 1.12190i −0.160969 0.0512074i
\(481\) 18.0360 12.2967i 0.822371 0.560683i
\(482\) 16.0480 4.95016i 0.730967 0.225474i
\(483\) −28.5447 3.67685i −1.29883 0.167302i
\(484\) −10.1808 3.14035i −0.462762 0.142743i
\(485\) 37.0016 11.4135i 1.68016 0.518260i
\(486\) 10.2458 11.7483i 0.464759 0.532915i
\(487\) −8.26745 7.67107i −0.374634 0.347609i 0.470275 0.882520i \(-0.344155\pi\)
−0.844909 + 0.534911i \(0.820345\pi\)
\(488\) 3.50476 1.68780i 0.158653 0.0764033i
\(489\) −20.4926 36.2265i −0.926706 1.63822i
\(490\) −10.0162 11.1074i −0.452486 0.501783i
\(491\) −6.02776 10.4404i −0.272029 0.471168i 0.697352 0.716728i \(-0.254361\pi\)
−0.969381 + 0.245561i \(0.921028\pi\)
\(492\) 11.1945 + 7.77742i 0.504687 + 0.350633i
\(493\) −3.70602 + 1.14316i −0.166911 + 0.0514851i
\(494\) −2.30956 5.88467i −0.103912 0.264764i
\(495\) −0.903423 + 3.66006i −0.0406058 + 0.164507i
\(496\) 1.41972 + 6.22020i 0.0637473 + 0.279295i
\(497\) −27.4428 + 19.9540i −1.23098 + 0.895058i
\(498\) 3.88273 + 3.66675i 0.173989 + 0.164311i
\(499\) 23.4091 15.9600i 1.04793 0.714469i 0.0884062 0.996085i \(-0.471823\pi\)
0.959527 + 0.281616i \(0.0908703\pi\)
\(500\) −2.58393 11.3210i −0.115557 0.506288i
\(501\) −15.3197 10.6434i −0.684434 0.475513i
\(502\) −11.0503 13.8566i −0.493197 0.618450i
\(503\) −17.1261 + 8.24749i −0.763614 + 0.367737i −0.774805 0.632200i \(-0.782152\pi\)
0.0111908 + 0.999937i \(0.496438\pi\)
\(504\) −6.50077 + 4.55412i −0.289567 + 0.202857i
\(505\) −3.78958 1.82496i −0.168634 0.0812098i
\(506\) −0.821930 3.60111i −0.0365392 0.160089i
\(507\) 15.4563 2.19077i 0.686439 0.0972955i
\(508\) 1.48485 0.0658794
\(509\) 21.4265 37.1117i 0.949711 1.64495i 0.203679 0.979038i \(-0.434710\pi\)
0.746032 0.665910i \(-0.231957\pi\)
\(510\) 0.948111 2.35462i 0.0419831 0.104264i
\(511\) 22.5415 7.70823i 0.997176 0.340992i
\(512\) 0.623490 0.781831i 0.0275546 0.0345524i
\(513\) −16.1966 2.88030i −0.715097 0.127168i
\(514\) 1.47429 1.00515i 0.0650280 0.0443354i
\(515\) 0.578342 + 7.71744i 0.0254848 + 0.340071i
\(516\) 1.12106 + 2.93199i 0.0493517 + 0.129074i
\(517\) 0.914483 + 0.137836i 0.0402189 + 0.00606203i
\(518\) −5.57911 + 28.3806i −0.245132 + 1.24697i
\(519\) −9.90680 12.6495i −0.434860 0.555250i
\(520\) 4.26641 0.187095
\(521\) −19.5314 + 33.8294i −0.855686 + 1.48209i 0.0203215 + 0.999793i \(0.493531\pi\)
−0.876007 + 0.482298i \(0.839802\pi\)
\(522\) −16.8157 + 2.23272i −0.736005 + 0.0977234i
\(523\) −0.413656 + 0.383817i −0.0180879 + 0.0167831i −0.689165 0.724605i \(-0.742022\pi\)
0.671077 + 0.741388i \(0.265832\pi\)
\(524\) −3.13065 + 2.13444i −0.136763 + 0.0932434i
\(525\) −1.81297 0.825558i −0.0791245 0.0360303i
\(526\) −7.31663 4.98840i −0.319020 0.217504i
\(527\) −4.32721 + 0.652222i −0.188496 + 0.0284112i
\(528\) −0.836588 0.581223i −0.0364078 0.0252945i
\(529\) −12.0541 + 11.1846i −0.524091 + 0.486285i
\(530\) −0.340651 4.54567i −0.0147969 0.197451i
\(531\) −8.52247 + 34.5273i −0.369844 + 1.49836i
\(532\) 7.65339 + 3.40409i 0.331817 + 0.147586i
\(533\) −15.0162 4.63189i −0.650424 0.200629i
\(534\) −8.48041 + 2.53437i −0.366983 + 0.109673i
\(535\) −4.43120 + 5.55655i −0.191577 + 0.240230i
\(536\) 0.520549 2.28067i 0.0224843 0.0985102i
\(537\) 2.75974 32.9351i 0.119092 1.42126i
\(538\) −6.62093 + 11.4678i −0.285449 + 0.494412i
\(539\) −1.73337 3.73424i −0.0746614 0.160845i
\(540\) 5.80301 9.46509i 0.249722 0.407313i
\(541\) 11.7774 + 8.02972i 0.506352 + 0.345225i 0.789398 0.613881i \(-0.210393\pi\)
−0.283046 + 0.959106i \(0.591345\pi\)
\(542\) −3.34661 + 1.03229i −0.143749 + 0.0443408i
\(543\) 12.7199 15.6655i 0.545862 0.672269i
\(544\) 0.502793 + 0.466523i 0.0215571 + 0.0200020i
\(545\) −18.0575 + 16.7549i −0.773498 + 0.717702i
\(546\) 5.55008 7.27501i 0.237521 0.311342i
\(547\) 23.6071 + 21.9042i 1.00937 + 0.936556i 0.997990 0.0633792i \(-0.0201878\pi\)
0.0113779 + 0.999935i \(0.496378\pi\)
\(548\) −0.444601 5.93279i −0.0189924 0.253436i
\(549\) 2.39622 + 11.4213i 0.102268 + 0.487450i
\(550\) 0.0191060 0.254951i 0.000814681 0.0108712i
\(551\) 11.1615 + 13.9960i 0.475495 + 0.596252i
\(552\) −0.908321 + 10.8400i −0.0386607 + 0.461382i
\(553\) 25.7758 + 7.10332i 1.09610 + 0.302064i
\(554\) 0.658249 + 8.78373i 0.0279663 + 0.373185i
\(555\) −8.65532 39.5210i −0.367398 1.67757i
\(556\) −3.19184 + 8.13266i −0.135364 + 0.344902i
\(557\) 7.96870 13.8022i 0.337644 0.584817i −0.646345 0.763046i \(-0.723703\pi\)
0.983989 + 0.178228i \(0.0570365\pi\)
\(558\) −19.1375 0.336784i −0.810156 0.0142572i
\(559\) −2.25626 2.82926i −0.0954297 0.119665i
\(560\) −4.02562 + 3.96880i −0.170114 + 0.167713i
\(561\) 0.440421 0.542411i 0.0185946 0.0229006i
\(562\) −0.700440 1.78469i −0.0295463 0.0752827i
\(563\) −36.5880 17.6199i −1.54200 0.742589i −0.546512 0.837452i \(-0.684045\pi\)
−0.995490 + 0.0948625i \(0.969759\pi\)
\(564\) −2.44336 1.20326i −0.102884 0.0506663i
\(565\) 1.55527 1.95025i 0.0654309 0.0820477i
\(566\) 12.7005 15.9259i 0.533842 0.669417i
\(567\) −8.59071 22.2081i −0.360776 0.932653i
\(568\) 7.99592 + 10.0266i 0.335501 + 0.420705i
\(569\) 8.54358 0.358166 0.179083 0.983834i \(-0.442687\pi\)
0.179083 + 0.983834i \(0.442687\pi\)
\(570\) −11.7160 0.103082i −0.490731 0.00431763i
\(571\) −19.6234 24.6069i −0.821212 1.02977i −0.998956 0.0456908i \(-0.985451\pi\)
0.177743 0.984077i \(-0.443120\pi\)
\(572\) 1.12219 + 0.346151i 0.0469212 + 0.0144733i
\(573\) 18.9146 + 9.31466i 0.790167 + 0.389126i
\(574\) 18.4775 9.59827i 0.771236 0.400624i
\(575\) −2.45978 + 1.18457i −0.102580 + 0.0494000i
\(576\) 1.82891 + 2.37804i 0.0762046 + 0.0990851i
\(577\) 1.39217 18.5772i 0.0579566 0.773377i −0.890199 0.455571i \(-0.849435\pi\)
0.948156 0.317806i \(-0.102946\pi\)
\(578\) 12.1170 11.2430i 0.504002 0.467645i
\(579\) −32.0242 15.7706i −1.33088 0.655405i
\(580\) −11.5448 + 3.56111i −0.479373 + 0.147867i
\(581\) 7.71888 2.63953i 0.320233 0.109506i
\(582\) −29.9123 9.51573i −1.23990 0.394440i
\(583\) 0.279207 1.22328i 0.0115636 0.0506633i
\(584\) −3.28962 8.38182i −0.136125 0.346842i
\(585\) −3.06722 + 12.4263i −0.126814 + 0.513764i
\(586\) −10.8341 7.38657i −0.447553 0.305136i
\(587\) −11.8890 + 20.5923i −0.490711 + 0.849937i −0.999943 0.0106927i \(-0.996596\pi\)
0.509232 + 0.860630i \(0.329930\pi\)
\(588\) 1.53070 + 12.0273i 0.0631249 + 0.495999i
\(589\) 10.0996 + 17.4930i 0.416147 + 0.720788i
\(590\) −1.89284 + 25.2582i −0.0779269 + 1.03986i
\(591\) −4.23835 + 17.8443i −0.174343 + 0.734016i
\(592\) 10.8101 + 1.62936i 0.444291 + 0.0669661i
\(593\) 39.4359 12.1644i 1.61944 0.499530i 0.653200 0.757185i \(-0.273426\pi\)
0.966237 + 0.257655i \(0.0829498\pi\)
\(594\) 2.29430 2.01878i 0.0941364 0.0828315i
\(595\) −2.50821 2.95684i −0.102827 0.121219i
\(596\) 15.7148 + 14.5812i 0.643704 + 0.597270i
\(597\) 26.8588 17.9680i 1.09926 0.735379i
\(598\) −2.79054 12.2262i −0.114114 0.499965i
\(599\) 31.0650 14.9601i 1.26928 0.611255i 0.326669 0.945139i \(-0.394074\pi\)
0.942614 + 0.333884i \(0.108359\pi\)
\(600\) −0.281235 + 0.698442i −0.0114814 + 0.0285138i
\(601\) 1.64963 22.0128i 0.0672899 0.897921i −0.856776 0.515688i \(-0.827536\pi\)
0.924066 0.382233i \(-0.124845\pi\)
\(602\) 4.76082 + 0.570709i 0.194037 + 0.0232603i
\(603\) 6.26843 + 3.15577i 0.255270 + 0.128513i
\(604\) 6.95636 6.45456i 0.283050 0.262632i
\(605\) 8.31667 21.1905i 0.338121 0.861518i
\(606\) 1.67877 + 2.96771i 0.0681954 + 0.120555i
\(607\) −4.12675 + 7.14774i −0.167500 + 0.290118i −0.937540 0.347877i \(-0.886903\pi\)
0.770040 + 0.637995i \(0.220236\pi\)
\(608\) 1.15665 2.94709i 0.0469082 0.119520i
\(609\) −8.94606 + 24.3186i −0.362513 + 0.985440i
\(610\) 3.03656 + 7.73702i 0.122947 + 0.313263i
\(611\) 3.10477 + 0.467969i 0.125605 + 0.0189320i
\(612\) −1.72026 + 1.12903i −0.0695373 + 0.0456384i
\(613\) 6.19670 4.22484i 0.250282 0.170640i −0.431680 0.902027i \(-0.642079\pi\)
0.681963 + 0.731387i \(0.261127\pi\)
\(614\) −5.10688 + 6.40382i −0.206097 + 0.258437i
\(615\) −18.3586 + 22.6100i −0.740292 + 0.911725i
\(616\) −1.38086 + 0.717299i −0.0556365 + 0.0289008i
\(617\) −13.9855 + 35.6345i −0.563036 + 1.43459i 0.311788 + 0.950152i \(0.399072\pi\)
−0.874824 + 0.484440i \(0.839023\pi\)
\(618\) 3.18447 5.40528i 0.128098 0.217432i
\(619\) −7.23868 12.5378i −0.290947 0.503935i 0.683087 0.730337i \(-0.260637\pi\)
−0.974034 + 0.226402i \(0.927304\pi\)
\(620\) −13.4799 + 2.03177i −0.541368 + 0.0815980i
\(621\) −30.9195 10.4387i −1.24076 0.418890i
\(622\) 8.27430 + 3.98469i 0.331769 + 0.159772i
\(623\) −2.60790 + 13.2662i −0.104483 + 0.531501i
\(624\) −2.84030 1.97331i −0.113703 0.0789958i
\(625\) 22.3846 3.37394i 0.895386 0.134958i
\(626\) 4.11072 1.97962i 0.164297 0.0791214i
\(627\) −3.07330 0.977681i −0.122736 0.0390448i
\(628\) 9.88362 + 4.75970i 0.394399 + 0.189933i
\(629\) −1.66852 + 7.31027i −0.0665283 + 0.291479i
\(630\) −8.66537 14.5782i −0.345237 0.580810i
\(631\) 10.8755 + 47.6489i 0.432948 + 1.89687i 0.442205 + 0.896914i \(0.354196\pi\)
−0.00925620 + 0.999957i \(0.502946\pi\)
\(632\) 2.24869 9.85215i 0.0894480 0.391897i
\(633\) 26.5702 + 4.24421i 1.05607 + 0.168692i
\(634\) 2.25367 9.87397i 0.0895046 0.392145i
\(635\) −0.237089 + 3.16373i −0.00940859 + 0.125549i
\(636\) −1.87569 + 3.18378i −0.0743761 + 0.126245i
\(637\) −5.88497 12.6781i −0.233171 0.502326i
\(638\) −3.32556 −0.131660
\(639\) −34.9517 + 16.0805i −1.38267 + 0.636133i
\(640\) 1.56628 + 1.45329i 0.0619126 + 0.0574465i
\(641\) 7.85368 + 1.18375i 0.310202 + 0.0467554i 0.302298 0.953213i \(-0.402246\pi\)
0.00790338 + 0.999969i \(0.497484\pi\)
\(642\) 5.52004 1.64966i 0.217859 0.0651070i
\(643\) 8.41668 7.80954i 0.331922 0.307978i −0.496551 0.868007i \(-0.665401\pi\)
0.828473 + 0.560029i \(0.189210\pi\)
\(644\) 14.0064 + 8.94024i 0.551928 + 0.352295i
\(645\) −6.42614 + 1.92045i −0.253029 + 0.0756177i
\(646\) 1.95644 + 0.942172i 0.0769751 + 0.0370693i
\(647\) 24.3692 + 7.51689i 0.958051 + 0.295520i 0.734070 0.679074i \(-0.237618\pi\)
0.223981 + 0.974594i \(0.428095\pi\)
\(648\) −8.24110 + 3.61723i −0.323741 + 0.142098i
\(649\) −2.54716 + 6.49007i −0.0999850 + 0.254758i
\(650\) 0.0648668 0.865587i 0.00254428 0.0339511i
\(651\) −14.0712 + 25.6288i −0.551494 + 1.00447i
\(652\) 1.79576 + 23.9627i 0.0703272 + 0.938452i
\(653\) −26.5786 8.19842i −1.04010 0.320829i −0.272770 0.962079i \(-0.587940\pi\)
−0.767332 + 0.641250i \(0.778416\pi\)
\(654\) 19.7711 2.80234i 0.773110 0.109580i
\(655\) −4.04793 7.01122i −0.158166 0.273951i
\(656\) −3.93494 6.81551i −0.153634 0.266101i
\(657\) 26.7777 3.55543i 1.04470 0.138710i
\(658\) −3.36486 + 2.44664i −0.131176 + 0.0953798i
\(659\) 18.1207 + 46.1707i 0.705881 + 1.79856i 0.593410 + 0.804900i \(0.297781\pi\)
0.112471 + 0.993655i \(0.464124\pi\)
\(660\) 1.37198 1.68970i 0.0534042 0.0657713i
\(661\) 18.9332 + 9.11773i 0.736415 + 0.354639i 0.764203 0.644975i \(-0.223132\pi\)
−0.0277889 + 0.999614i \(0.508847\pi\)
\(662\) −19.7944 9.53248i −0.769331 0.370490i
\(663\) 1.49528 1.84154i 0.0580717 0.0715196i
\(664\) −1.12646 2.87019i −0.0437153 0.111385i
\(665\) −8.47506 + 15.7634i −0.328649 + 0.611278i
\(666\) −12.5172 + 30.3139i −0.485033 + 1.17464i
\(667\) 17.7561 + 30.7545i 0.687520 + 1.19082i
\(668\) 5.38498 + 9.32706i 0.208351 + 0.360875i
\(669\) 26.0893 3.69788i 1.00867 0.142968i
\(670\) 4.77627 + 1.47328i 0.184523 + 0.0569179i
\(671\) 0.170970 + 2.28143i 0.00660021 + 0.0880737i
\(672\) 4.51567 0.780234i 0.174196 0.0300982i
\(673\) 2.02799 27.0616i 0.0781732 1.04315i −0.810840 0.585268i \(-0.800989\pi\)
0.889013 0.457881i \(-0.151392\pi\)
\(674\) −13.1640 + 33.5413i −0.507058 + 1.29196i
\(675\) −1.83209 1.32125i −0.0705171 0.0508548i
\(676\) −8.61248 2.65660i −0.331249 0.102177i
\(677\) 42.7753 + 20.5995i 1.64399 + 0.791704i 0.999636 + 0.0269762i \(0.00858785\pi\)
0.644354 + 0.764728i \(0.277126\pi\)
\(678\) −1.93744 + 0.579003i −0.0744069 + 0.0222365i
\(679\) −34.1445 + 33.6626i −1.31035 + 1.29185i
\(680\) −1.07429 + 0.996799i −0.0411973 + 0.0382255i
\(681\) 10.5393 3.14967i 0.403868 0.120696i
\(682\) −3.71047 0.559263i −0.142081 0.0214153i
\(683\) 11.2084 + 10.3999i 0.428879 + 0.397942i 0.864859 0.502015i \(-0.167408\pi\)
−0.435980 + 0.899956i \(0.643598\pi\)
\(684\) 7.75211 + 5.48756i 0.296409 + 0.209822i
\(685\) 12.7119 0.485695
\(686\) 17.3466 + 6.48814i 0.662296 + 0.247718i
\(687\) 13.2441 22.4804i 0.505294 0.857680i
\(688\) 0.135434 1.80724i 0.00516336 0.0689003i
\(689\) 0.947937 4.15318i 0.0361135 0.158224i
\(690\) −22.9516 3.66619i −0.873752 0.139570i
\(691\) 4.42905 19.4049i 0.168489 0.738198i −0.818114 0.575057i \(-0.804980\pi\)
0.986603 0.163142i \(-0.0521628\pi\)
\(692\) 2.06419 + 9.04380i 0.0784687 + 0.343794i
\(693\) −1.09646 4.53756i −0.0416511 0.172368i
\(694\) −5.82753 + 25.5321i −0.221210 + 0.969185i
\(695\) −16.8185 8.09934i −0.637960 0.307225i
\(696\) 9.33291 + 2.96899i 0.353763 + 0.112539i
\(697\) 4.86331 2.34205i 0.184211 0.0887113i
\(698\) 25.8253 3.89253i 0.977500 0.147334i
\(699\) −21.0987 14.6584i −0.798026 0.554432i
\(700\) 0.744002 + 0.877076i 0.0281206 + 0.0331504i
\(701\) 32.6591 + 15.7278i 1.23352 + 0.594031i 0.933045 0.359759i \(-0.117141\pi\)
0.300474 + 0.953790i \(0.402855\pi\)
\(702\) 7.78940 6.85397i 0.293992 0.258686i
\(703\) 34.2240 5.15844i 1.29078 0.194554i
\(704\) 0.294066 + 0.509338i 0.0110830 + 0.0191964i
\(705\) 2.95390 5.01390i 0.111250 0.188834i
\(706\) 9.36004 23.8490i 0.352270 0.897568i
\(707\) 5.20591 0.157751i 0.195788 0.00593283i
\(708\) 12.9426 15.9398i 0.486413 0.599054i
\(709\) −21.8427 + 27.3899i −0.820321 + 1.02865i 0.178677 + 0.983908i \(0.442818\pi\)
−0.998999 + 0.0447427i \(0.985753\pi\)
\(710\) −22.6401 + 15.4358i −0.849668 + 0.579294i
\(711\) 27.0786 + 13.6324i 1.01553 + 0.511256i
\(712\) 5.05306 + 0.761626i 0.189371 + 0.0285431i
\(713\) 14.6393 + 37.3002i 0.548244 + 1.39690i
\(714\) 0.302200 + 3.12858i 0.0113096 + 0.117084i
\(715\) −0.916719 + 2.33576i −0.0342834 + 0.0873526i
\(716\) −9.54088 + 16.5253i −0.356559 + 0.617579i
\(717\) −0.219992 0.388899i −0.00821573 0.0145237i
\(718\) 9.73023 24.7922i 0.363129 0.925238i
\(719\) 12.7462 11.8268i 0.475353 0.441063i −0.405752 0.913983i \(-0.632990\pi\)
0.881106 + 0.472920i \(0.156800\pi\)
\(720\) −5.35887 + 3.51711i −0.199713 + 0.131075i
\(721\) −5.04070 8.15024i −0.187725 0.303531i
\(722\) −0.670839 + 8.95173i −0.0249661 + 0.333149i
\(723\) 10.8650 26.9830i 0.404072 1.00351i
\(724\) −10.4967 + 5.05496i −0.390108 + 0.187866i
\(725\) 0.546964 + 2.39641i 0.0203137 + 0.0890003i
\(726\) −15.3378 + 10.2606i −0.569240 + 0.380808i
\(727\) 6.93128 + 6.43129i 0.257067 + 0.238523i 0.798169 0.602434i \(-0.205802\pi\)
−0.541102 + 0.840957i \(0.681993\pi\)
\(728\) −4.68818 + 2.43531i −0.173755 + 0.0902585i
\(729\) −4.61078 26.6034i −0.170770 0.985311i
\(730\) 18.3842 5.67078i 0.680431 0.209885i
\(731\) 1.22916 + 0.185266i 0.0454620 + 0.00685230i
\(732\) 1.55701 6.55529i 0.0575486 0.242291i
\(733\) −0.732746 + 9.77782i −0.0270646 + 0.361152i 0.967186 + 0.254071i \(0.0817696\pi\)
−0.994250 + 0.107081i \(0.965849\pi\)
\(734\) −11.4510 19.8337i −0.422663 0.732074i
\(735\) −25.8708 + 1.34099i −0.954260 + 0.0494633i
\(736\) 3.14021 5.43900i 0.115750 0.200484i
\(737\) 1.13677 + 0.775035i 0.0418734 + 0.0285488i
\(738\) 22.6797 6.56102i 0.834850 0.241514i
\(739\) −11.3026 28.7985i −0.415773 1.05937i −0.973366 0.229257i \(-0.926370\pi\)
0.557593 0.830114i \(-0.311725\pi\)
\(740\) −5.19770 + 22.7726i −0.191071 + 0.837138i
\(741\) −10.4342 3.31933i −0.383309 0.121939i
\(742\) 2.96904 + 4.80059i 0.108997 + 0.176235i
\(743\) 6.87267 2.11994i 0.252134 0.0777730i −0.166112 0.986107i \(-0.553121\pi\)
0.418246 + 0.908334i \(0.362645\pi\)
\(744\) 9.91383 + 4.88216i 0.363459 + 0.178989i
\(745\) −33.5772 + 31.1550i −1.23017 + 1.14143i
\(746\) 1.25760 16.7815i 0.0460441 0.614415i
\(747\) 9.16950 1.21748i 0.335494 0.0445454i
\(748\) −0.363445 + 0.175026i −0.0132889 + 0.00639959i
\(749\) 1.69752 8.63521i 0.0620262 0.315524i
\(750\) −18.0435 8.88568i −0.658854 0.324459i
\(751\) −0.353435 0.109020i −0.0128970 0.00397821i 0.288300 0.957540i \(-0.406910\pi\)
−0.301197 + 0.953562i \(0.597386\pi\)
\(752\) 0.980411 + 1.22940i 0.0357519 + 0.0448315i
\(753\) −30.6964 0.270078i −1.11864 0.00984218i
\(754\) −11.2906 −0.411181
\(755\) 12.6419 + 15.8524i 0.460084 + 0.576927i
\(756\) −0.973914 + 13.7132i −0.0354209 + 0.498744i
\(757\) −25.8489 + 32.4135i −0.939494 + 1.17809i 0.0443423 + 0.999016i \(0.485881\pi\)
−0.983836 + 0.179072i \(0.942691\pi\)
\(758\) 3.46824 4.34903i 0.125972 0.157964i
\(759\) −5.73949 2.82647i −0.208330 0.102594i
\(760\) 6.09462 + 2.93501i 0.221075 + 0.106464i
\(761\) −16.6757 42.4890i −0.604494 1.54023i −0.825174 0.564879i \(-0.808923\pi\)
0.220680 0.975346i \(-0.429172\pi\)
\(762\) 1.62114 1.99655i 0.0587276 0.0723275i
\(763\) 10.2787 28.7186i 0.372116 1.03968i
\(764\) −7.58955 9.51700i −0.274580 0.344313i
\(765\) −2.13093 3.84559i −0.0770439 0.139038i
\(766\) −12.2898 + 21.2866i −0.444050 + 0.769117i
\(767\) −8.64790 + 22.0345i −0.312257 + 0.795619i
\(768\) −0.370546 1.69195i −0.0133709 0.0610530i
\(769\) 1.81022 + 24.1558i 0.0652784 + 0.871079i 0.929701 + 0.368314i \(0.120065\pi\)
−0.864423 + 0.502765i \(0.832316\pi\)
\(770\) −1.30785 3.05671i −0.0471316 0.110156i
\(771\) 0.258064 3.07977i 0.00929394 0.110915i
\(772\) 12.8499 + 16.1132i 0.462477 + 0.579927i
\(773\) 2.55471 34.0902i 0.0918865 1.22614i −0.740543 0.672009i \(-0.765432\pi\)
0.832430 0.554131i \(-0.186949\pi\)
\(774\) 5.16637 + 1.69373i 0.185701 + 0.0608797i
\(775\) 0.207265 + 2.76576i 0.00744517 + 0.0993489i
\(776\) 13.2849 + 12.3266i 0.476899 + 0.442498i
\(777\) 32.0699 + 38.4874i 1.15050 + 1.38073i
\(778\) −12.1820 + 11.3032i −0.436745 + 0.405240i
\(779\) −18.2644 16.9469i −0.654390 0.607185i
\(780\) 4.65802 5.73670i 0.166784 0.205407i
\(781\) −7.20738 + 2.22318i −0.257900 + 0.0795518i
\(782\) 3.55917 + 2.42660i 0.127276 + 0.0867751i
\(783\) −15.3571 + 25.0484i −0.548817 + 0.895157i
\(784\) 2.15815 6.65901i 0.0770768 0.237822i
\(785\) −11.7195 + 20.2988i −0.418288 + 0.724497i
\(786\) −0.547998 + 6.53988i −0.0195464 + 0.233270i
\(787\) 7.59981 33.2969i 0.270904 1.18691i −0.638045 0.769999i \(-0.720256\pi\)
0.908949 0.416908i \(-0.136886\pi\)
\(788\) 6.60215 8.27883i 0.235192 0.294921i
\(789\) −14.6957 + 4.39181i −0.523181 + 0.156352i
\(790\) 20.6327 + 6.36435i 0.734079 + 0.226433i
\(791\) −0.595802 + 3.03081i −0.0211843 + 0.107763i
\(792\) −1.69490 + 0.490319i −0.0602256 + 0.0174227i
\(793\) 0.580461 + 7.74571i 0.0206128 + 0.275058i
\(794\) −5.31457 + 4.93120i −0.188607 + 0.175002i
\(795\) −6.48411 4.50487i −0.229968 0.159771i
\(796\) −18.4486 + 2.78067i −0.653892 + 0.0985583i
\(797\) −8.94131 6.09608i −0.316717 0.215934i 0.394518 0.918888i \(-0.370912\pi\)
−0.711235 + 0.702954i \(0.751864\pi\)
\(798\) 12.9331 6.57434i 0.457826 0.232729i
\(799\) −0.891125 + 0.607559i −0.0315257 + 0.0214939i
\(800\) 0.318664 0.295677i 0.0112665 0.0104538i
\(801\) −5.85106 + 14.1699i −0.206737 + 0.500669i
\(802\) −16.4001 + 28.4059i −0.579109 + 1.00305i
\(803\) 5.29569 0.186881
\(804\) −2.49831 3.18995i −0.0881085 0.112501i
\(805\) −21.2852 + 28.4155i −0.750206 + 1.00152i
\(806\) −12.5974 1.89876i −0.443726 0.0668809i
\(807\) 8.19115 + 21.4230i 0.288342 + 0.754126i
\(808\) −0.147110 1.96305i −0.00517531 0.0690597i
\(809\) −31.4014 + 21.4091i −1.10402 + 0.752705i −0.971160 0.238430i \(-0.923367\pi\)
−0.132856 + 0.991135i \(0.542415\pi\)
\(810\) −6.39128 18.1367i −0.224567 0.637259i
\(811\) 17.7738 22.2877i 0.624124 0.782626i −0.364795 0.931088i \(-0.618861\pi\)
0.988918 + 0.148462i \(0.0474322\pi\)
\(812\) 10.6534 10.5030i 0.373861 0.368585i
\(813\) −2.26575 + 5.62696i −0.0794634 + 0.197346i
\(814\) −3.21478 + 5.56817i −0.112678 + 0.195164i
\(815\) −51.3436 −1.79849
\(816\) 1.17624 0.166719i 0.0411766 0.00583635i
\(817\) −1.27675 5.59379i −0.0446677 0.195702i
\(818\) −11.0115 5.30288i −0.385010 0.185411i
\(819\) −3.72260 15.4055i −0.130078 0.538312i
\(820\) 15.1500 7.29584i 0.529060 0.254782i
\(821\) −16.6273 20.8499i −0.580295 0.727667i 0.401868 0.915698i \(-0.368361\pi\)
−0.982163 + 0.188030i \(0.939790\pi\)
\(822\) −8.46275 5.87953i −0.295172 0.205072i
\(823\) 8.26538 + 36.2130i 0.288113 + 1.26231i 0.887112 + 0.461555i \(0.152708\pi\)
−0.598999 + 0.800750i \(0.704434\pi\)
\(824\) −2.99268 + 2.04038i −0.104255 + 0.0710799i
\(825\) −0.321953 0.304043i −0.0112089 0.0105854i
\(826\) −12.3376 28.8355i −0.429281 1.00332i
\(827\) 3.47678 + 15.2328i 0.120899 + 0.529695i 0.998714 + 0.0506948i \(0.0161436\pi\)
−0.877815 + 0.479000i \(0.840999\pi\)
\(828\) 13.5840 + 13.0564i 0.472077 + 0.453740i
\(829\) −14.5159 36.9859i −0.504158 1.28457i −0.925869 0.377844i \(-0.876666\pi\)
0.421711 0.906730i \(-0.361430\pi\)
\(830\) 6.29531 1.94185i 0.218513 0.0674025i
\(831\) 12.5294 + 8.70488i 0.434641 + 0.301969i
\(832\) 0.998386 + 1.72926i 0.0346128 + 0.0599512i
\(833\) 4.44395 + 1.81743i 0.153974 + 0.0629703i
\(834\) 7.45052 + 13.1709i 0.257990 + 0.456073i
\(835\) −20.7328 + 9.98439i −0.717488 + 0.345524i
\(836\) 1.36494 + 1.26648i 0.0472073 + 0.0438020i
\(837\) −21.3470 + 25.3650i −0.737859 + 0.876742i
\(838\) −27.9121 + 8.60974i −0.964208 + 0.297419i
\(839\) −37.8983 11.6901i −1.30839 0.403586i −0.439347 0.898317i \(-0.644790\pi\)
−0.869046 + 0.494731i \(0.835266\pi\)
\(840\) 0.941401 + 9.74602i 0.0324814 + 0.336270i
\(841\) 2.84063 0.876219i 0.0979528 0.0302144i
\(842\) −3.15719 + 2.15254i −0.108804 + 0.0741813i
\(843\) −3.16446 1.00668i −0.108990 0.0346720i
\(844\) −12.8354 8.75104i −0.441814 0.301223i
\(845\) 7.03554 17.9263i 0.242030 0.616682i
\(846\) −4.28556 + 1.97169i −0.147341 + 0.0677881i
\(847\) 2.95692 + 28.0326i 0.101601 + 0.963211i
\(848\) 1.76273 1.20181i 0.0605323 0.0412703i
\(849\) −7.54803 34.4651i −0.259048 1.18284i
\(850\) 0.185901 + 0.233113i 0.00637635 + 0.00799570i
\(851\) 68.6586 2.35359
\(852\) 22.2117 + 0.195427i 0.760962 + 0.00669522i
\(853\) −2.19752 + 0.331223i −0.0752418 + 0.0113409i −0.186555 0.982444i \(-0.559732\pi\)
0.111313 + 0.993785i \(0.464494\pi\)
\(854\) −7.75310 6.76858i −0.265306 0.231616i
\(855\) −12.9300 + 15.6410i −0.442198 + 0.534913i
\(856\) −3.28912 0.495755i −0.112420 0.0169446i
\(857\) −1.82516 24.3551i −0.0623463 0.831953i −0.937473 0.348059i \(-0.886841\pi\)
0.875126 0.483894i \(-0.160778\pi\)
\(858\) 1.69064 1.13100i 0.0577174 0.0386116i
\(859\) 2.18798 + 5.57489i 0.0746530 + 0.190213i 0.963329 0.268323i \(-0.0864694\pi\)
−0.888676 + 0.458536i \(0.848374\pi\)
\(860\) 3.82902 + 0.577132i 0.130569 + 0.0196800i
\(861\) 7.26751 35.3245i 0.247676 1.20385i
\(862\) 11.3633 1.71274i 0.387036 0.0583363i
\(863\) 3.86547 + 6.69519i 0.131582 + 0.227907i 0.924287 0.381699i \(-0.124661\pi\)
−0.792704 + 0.609606i \(0.791328\pi\)
\(864\) 5.19434 + 0.137133i 0.176715 + 0.00466537i
\(865\) −19.5990 + 2.95408i −0.666387 + 0.100442i
\(866\) 6.08244 + 26.6489i 0.206690 + 0.905567i
\(867\) −1.88826 28.5677i −0.0641286 0.970210i
\(868\) 13.6528 9.92710i 0.463405 0.336948i
\(869\) 4.91065 + 3.34802i 0.166582 + 0.113574i
\(870\) −7.81618 + 19.4114i −0.264993 + 0.658107i
\(871\) 3.85945 + 2.63133i 0.130772 + 0.0891591i
\(872\) −11.0167 3.39821i −0.373073 0.115078i
\(873\) −45.4529 + 29.8315i −1.53835 + 1.00964i
\(874\) 4.42448 19.3849i 0.149660 0.655704i
\(875\) −24.8485 + 18.0676i −0.840031 + 0.610797i
\(876\) −14.8619 4.72789i −0.502138 0.159740i
\(877\) −35.4113 32.8569i −1.19575 1.10950i −0.991436 0.130592i \(-0.958312\pi\)
−0.204317 0.978905i \(-0.565497\pi\)
\(878\) 13.4370 16.8494i 0.453476 0.568641i
\(879\) −21.7607 + 6.50317i −0.733969 + 0.219346i
\(880\) −1.13219 + 0.545234i −0.0381661 + 0.0183798i
\(881\) 8.86403 0.298637 0.149318 0.988789i \(-0.452292\pi\)
0.149318 + 0.988789i \(0.452292\pi\)
\(882\) 17.8434 + 11.0731i 0.600818 + 0.372851i
\(883\) 13.2860 0.447110 0.223555 0.974691i \(-0.428234\pi\)
0.223555 + 0.974691i \(0.428234\pi\)
\(884\) −1.23394 + 0.594232i −0.0415018 + 0.0199862i
\(885\) 31.8960 + 30.1217i 1.07217 + 1.01253i
\(886\) −4.75889 + 5.96746i −0.159878 + 0.200481i
\(887\) 1.42105 + 1.31854i 0.0477141 + 0.0442722i 0.703669 0.710527i \(-0.251544\pi\)
−0.655955 + 0.754800i \(0.727734\pi\)
\(888\) 13.9932 12.7565i 0.469580 0.428080i
\(889\) −1.54536 3.61182i −0.0518297 0.121137i
\(890\) −2.42961 + 10.6448i −0.0814409 + 0.356816i
\(891\) −0.209594 5.28904i −0.00702167 0.177190i
\(892\) −14.5373 4.48417i −0.486746 0.150141i
\(893\) 4.11327 + 2.80438i 0.137645 + 0.0938449i
\(894\) 36.7635 5.21083i 1.22955 0.174276i
\(895\) −33.6867 22.9672i −1.12602 0.767708i
\(896\) −2.55067 0.702916i −0.0852119 0.0234828i
\(897\) −19.4862 9.59616i −0.650625 0.320406i
\(898\) 3.00122 + 13.1492i 0.100152 + 0.438795i
\(899\) 35.6733 5.37689i 1.18977 0.179329i
\(900\) 0.632090 + 1.14070i 0.0210697 + 0.0380235i
\(901\) 0.731651 + 1.26726i 0.0243748 + 0.0422185i
\(902\) 4.57683 0.689846i 0.152392 0.0229694i
\(903\) 5.96520 5.77840i 0.198509 0.192293i
\(904\) 1.15442 + 0.174001i 0.0383956 + 0.00578720i
\(905\) −9.09446 23.1723i −0.302310 0.770274i
\(906\) −1.08405 16.4007i −0.0360150 0.544875i
\(907\) 1.53193 + 20.4422i 0.0508669 + 0.678771i 0.963108 + 0.269117i \(0.0867318\pi\)
−0.912241 + 0.409655i \(0.865649\pi\)
\(908\) −6.27986 0.946537i −0.208405 0.0314119i
\(909\) 5.82330 + 0.982807i 0.193147 + 0.0325977i
\(910\) −4.44029 10.3779i −0.147194 0.344022i
\(911\) −50.8166 + 7.65937i −1.68363 + 0.253766i −0.920008 0.391900i \(-0.871818\pi\)
−0.763620 + 0.645666i \(0.776580\pi\)
\(912\) −2.69990 4.77285i −0.0894025 0.158045i
\(913\) 1.81340 0.0600149
\(914\) 11.5002 + 14.4208i 0.380392 + 0.476996i
\(915\) 13.7186 + 4.36418i 0.453523 + 0.144275i
\(916\) −12.4465 + 8.48586i −0.411243 + 0.280381i
\(917\) 8.45016 + 5.39373i 0.279049 + 0.178117i
\(918\) −0.360040 + 3.54575i −0.0118831 + 0.117027i
\(919\) −18.4268 + 46.9508i −0.607845 + 1.54876i 0.212661 + 0.977126i \(0.431787\pi\)
−0.820506 + 0.571638i \(0.806308\pi\)
\(920\) 11.0874 + 7.55924i 0.365540 + 0.249221i
\(921\) 3.03507 + 13.8584i 0.100009 + 0.456650i
\(922\) −21.5210 + 14.6727i −0.708755 + 0.483221i
\(923\) −24.4698 + 7.54795i −0.805435 + 0.248444i
\(924\) −0.543116 + 2.63987i −0.0178672 + 0.0868454i
\(925\) 4.54118 + 1.40077i 0.149313 + 0.0460570i
\(926\) −13.8421 + 4.26972i −0.454879 + 0.140312i
\(927\) −3.79127 10.1833i −0.124521 0.334464i
\(928\) −4.14500 3.84600i −0.136066 0.126251i
\(929\) 33.9125 16.3314i 1.11263 0.535815i 0.215024 0.976609i \(-0.431017\pi\)
0.897609 + 0.440793i \(0.145303\pi\)
\(930\) −11.9853 + 20.3436i −0.393013 + 0.667094i
\(931\) 0.314991 22.1593i 0.0103234 0.726243i
\(932\) 7.41634 + 12.8455i 0.242930 + 0.420767i
\(933\) 14.3917 6.77534i 0.471162 0.221815i
\(934\) 34.3364 10.5914i 1.12352 0.346560i
\(935\) −0.314892 0.802332i −0.0102981 0.0262391i
\(936\) −5.75437 + 1.66468i −0.188087 + 0.0544119i
\(937\) −9.45369 41.4193i −0.308839 1.35311i −0.856386 0.516336i \(-0.827296\pi\)
0.547548 0.836775i \(-0.315562\pi\)
\(938\) −6.08940 + 1.10741i −0.198826 + 0.0361582i
\(939\) 1.82620 7.68867i 0.0595959 0.250910i
\(940\) −2.77599 + 1.89264i −0.0905429 + 0.0617311i
\(941\) −1.24906 5.47249i −0.0407182 0.178398i 0.950480 0.310787i \(-0.100592\pi\)
−0.991198 + 0.132389i \(0.957735\pi\)
\(942\) 17.1908 8.09311i 0.560107 0.263688i
\(943\) −30.8167 38.6429i −1.00353 1.25839i
\(944\) −10.6805 + 5.14348i −0.347622 + 0.167406i
\(945\) −29.0629 4.26472i −0.945416 0.138731i
\(946\) 0.960321 + 0.462466i 0.0312227 + 0.0150361i
\(947\) 0.225659 + 0.988678i 0.00733294 + 0.0321277i 0.978462 0.206427i \(-0.0661835\pi\)
−0.971129 + 0.238555i \(0.923326\pi\)
\(948\) −10.7923 13.7801i −0.350517 0.447556i
\(949\) 17.9794 0.583637
\(950\) 0.688131 1.19188i 0.0223259 0.0386696i
\(951\) −10.8162 13.8106i −0.350739 0.447840i
\(952\) 0.611513 1.70856i 0.0198193 0.0553746i
\(953\) −2.12064 + 2.65920i −0.0686944 + 0.0861400i −0.814991 0.579473i \(-0.803258\pi\)
0.746297 + 0.665613i \(0.231830\pi\)
\(954\) 2.23310 + 5.99810i 0.0722994 + 0.194196i
\(955\) 21.4895 14.6513i 0.695385 0.474105i
\(956\) 0.0192778 + 0.257244i 0.000623488 + 0.00831987i
\(957\) −3.63081 + 4.47161i −0.117367 + 0.144547i
\(958\) 5.83667 + 0.879737i 0.188574 + 0.0284230i
\(959\) −13.9685 + 7.25604i −0.451067 + 0.234310i
\(960\) 3.66417 0.519357i 0.118261 0.0167622i
\(961\) 9.70648 0.313112
\(962\) −10.9145 + 18.9045i −0.351899 + 0.609506i
\(963\) 3.80855 9.22343i 0.122729 0.297221i
\(964\) −12.3110 + 11.4229i −0.396510 + 0.367907i
\(965\) −36.3839 + 24.8061i −1.17124 + 0.798537i
\(966\) 27.3132 9.07235i 0.878787 0.291898i
\(967\) 32.0022 + 21.8188i 1.02912 + 0.701644i 0.955303 0.295628i \(-0.0955289\pi\)
0.0738192 + 0.997272i \(0.476481\pi\)
\(968\) 10.5351 1.58791i 0.338611 0.0510374i
\(969\) 3.40288 1.60201i 0.109316 0.0514641i
\(970\) −28.3852 + 26.3376i −0.911393 + 0.845649i
\(971\) −2.72445 36.3553i −0.0874319 1.16670i −0.852493 0.522739i \(-0.824910\pi\)
0.765061 0.643958i \(-0.222709\pi\)
\(972\) −4.13374 + 15.0304i −0.132590 + 0.482100i
\(973\) 23.1042 0.700111i 0.740688 0.0224445i
\(974\) 10.7771 + 3.32428i 0.345319 + 0.106517i
\(975\) −1.09306 1.03226i −0.0350060 0.0330587i
\(976\) −2.42537 + 3.04132i −0.0776342 + 0.0973502i
\(977\) −6.67719 + 29.2547i −0.213622 + 0.935940i 0.748460 + 0.663180i \(0.230794\pi\)
−0.962082 + 0.272760i \(0.912064\pi\)
\(978\) 34.1813 + 23.7476i 1.09300 + 0.759364i
\(979\) −1.50272 + 2.60278i −0.0480271 + 0.0831853i
\(980\) 13.8436 + 5.66159i 0.442218 + 0.180853i
\(981\) 17.8177 29.6441i 0.568877 0.946463i
\(982\) 9.96073 + 6.79111i 0.317860 + 0.216713i
\(983\) 36.2909 11.1943i 1.15750 0.357042i 0.344206 0.938894i \(-0.388148\pi\)
0.813294 + 0.581852i \(0.197672\pi\)
\(984\) −13.4604 2.15011i −0.429101 0.0685429i
\(985\) 16.5854 + 15.3890i 0.528453 + 0.490333i
\(986\) 2.84301 2.63793i 0.0905399 0.0840088i
\(987\) −0.383928 + 7.19567i −0.0122206 + 0.229041i
\(988\) 4.63410 + 4.29982i 0.147430 + 0.136796i
\(989\) −0.850581 11.3502i −0.0270469 0.360916i
\(990\) −0.774083 3.68958i −0.0246020 0.117262i
\(991\) −2.23306 + 29.7981i −0.0709355 + 0.946569i 0.842266 + 0.539062i \(0.181221\pi\)
−0.913202 + 0.407507i \(0.866398\pi\)
\(992\) −3.97797 4.98821i −0.126301 0.158376i
\(993\) −34.4288 + 16.2085i −1.09257 + 0.514360i
\(994\) 16.0674 29.8849i 0.509626 0.947891i
\(995\) −2.97900 39.7520i −0.0944406 1.26022i
\(996\) −5.08916 1.61897i −0.161256 0.0512990i
\(997\) −14.3969 + 36.6827i −0.455954 + 1.16175i 0.499422 + 0.866359i \(0.333546\pi\)
−0.955376 + 0.295393i \(0.904549\pi\)
\(998\) −14.1660 + 24.5363i −0.448418 + 0.776683i
\(999\) 27.0944 + 49.9272i 0.857229 + 1.57963i
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 882.2.bb.a.151.13 yes 336
9.4 even 3 882.2.y.b.445.26 yes 336
49.37 even 21 882.2.y.b.331.26 336
441.184 even 21 inner 882.2.bb.a.625.13 yes 336
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
882.2.y.b.331.26 336 49.37 even 21
882.2.y.b.445.26 yes 336 9.4 even 3
882.2.bb.a.151.13 yes 336 1.1 even 1 trivial
882.2.bb.a.625.13 yes 336 441.184 even 21 inner