Properties

Label 572.2.bs.a.15.10
Level $572$
Weight $2$
Character 572.15
Analytic conductor $4.567$
Analytic rank $0$
Dimension $1280$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [572,2,Mod(15,572)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(572, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([30, 12, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("572.15");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 572.bs (of order \(60\), degree \(16\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.56744299562\)
Analytic rank: \(0\)
Dimension: \(1280\)
Relative dimension: \(80\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 15.10
Character \(\chi\) \(=\) 572.15
Dual form 572.2.bs.a.267.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.35262 - 0.412811i) q^{2} +(0.680250 + 3.20032i) q^{3} +(1.65917 + 1.11675i) q^{4} +(0.568211 - 3.58755i) q^{5} +(0.401007 - 4.60964i) q^{6} +(-0.245673 + 0.159542i) q^{7} +(-1.78323 - 2.19547i) q^{8} +(-7.03870 + 3.13383i) q^{9} +O(q^{10})\) \(q+(-1.35262 - 0.412811i) q^{2} +(0.680250 + 3.20032i) q^{3} +(1.65917 + 1.11675i) q^{4} +(0.568211 - 3.58755i) q^{5} +(0.401007 - 4.60964i) q^{6} +(-0.245673 + 0.159542i) q^{7} +(-1.78323 - 2.19547i) q^{8} +(-7.03870 + 3.13383i) q^{9} +(-2.24955 + 4.61803i) q^{10} +(2.52336 - 2.15236i) q^{11} +(-2.44532 + 6.06957i) q^{12} +(3.57891 + 0.437527i) q^{13} +(0.398164 - 0.114384i) q^{14} +(11.8678 - 0.621967i) q^{15} +(1.50572 + 3.70578i) q^{16} +(4.20193 - 0.441640i) q^{17} +(10.8144 - 1.33324i) q^{18} +(-0.0562474 + 1.07326i) q^{19} +(4.94917 - 5.31781i) q^{20} +(-0.677705 - 0.677705i) q^{21} +(-4.30167 + 1.86966i) q^{22} +(4.49732 + 7.78959i) q^{23} +(5.81318 - 7.20038i) q^{24} +(-7.79234 - 2.53188i) q^{25} +(-4.66029 - 2.06922i) q^{26} +(-9.04795 - 12.4534i) q^{27} +(-0.585784 - 0.00964841i) q^{28} +(3.02969 - 3.36481i) q^{29} +(-16.3095 - 4.05788i) q^{30} +(0.897275 + 5.66517i) q^{31} +(-0.506887 - 5.63410i) q^{32} +(8.60477 + 6.61142i) q^{33} +(-5.86593 - 1.13723i) q^{34} +(0.432770 + 0.972017i) q^{35} +(-15.1781 - 2.66092i) q^{36} +(-0.384616 + 0.0201569i) q^{37} +(0.519136 - 1.42850i) q^{38} +(1.03432 + 11.7513i) q^{39} +(-8.88961 + 5.14992i) q^{40} +(-0.192638 + 0.296637i) q^{41} +(0.636915 + 1.19644i) q^{42} +(3.31701 - 5.74524i) q^{43} +(6.59035 - 0.753173i) q^{44} +(7.24329 + 27.0323i) q^{45} +(-2.86755 - 12.3929i) q^{46} +(-2.00601 - 3.93702i) q^{47} +(-10.8354 + 7.33965i) q^{48} +(-2.81225 + 6.31643i) q^{49} +(9.49490 + 6.64144i) q^{50} +(4.27175 + 13.1471i) q^{51} +(5.44942 + 4.72269i) q^{52} +(3.60663 + 2.62037i) q^{53} +(7.09755 + 20.5799i) q^{54} +(-6.28789 - 10.2757i) q^{55} +(0.788361 + 0.254868i) q^{56} +(-3.47305 + 0.550078i) q^{57} +(-5.48706 + 3.30063i) q^{58} +(-2.77181 + 1.80003i) q^{59} +(20.3854 + 12.2215i) q^{60} +(-0.0173975 - 0.165526i) q^{61} +(1.12497 - 8.03324i) q^{62} +(1.22924 - 1.89286i) q^{63} +(-1.64019 + 7.83006i) q^{64} +(3.60322 - 12.5909i) q^{65} +(-8.90974 - 12.4949i) q^{66} +(1.23337 - 4.60300i) q^{67} +(7.46493 + 3.95976i) q^{68} +(-21.8699 + 19.6918i) q^{69} +(-0.184115 - 1.49342i) q^{70} +(-3.64342 + 4.49925i) q^{71} +(19.4318 + 9.86492i) q^{72} +(2.06059 - 4.04414i) q^{73} +(0.528561 + 0.131509i) q^{74} +(2.80211 - 26.6603i) q^{75} +(-1.29190 + 1.71792i) q^{76} +(-0.276529 + 0.931359i) q^{77} +(3.45201 - 16.3220i) q^{78} +(3.38642 - 4.66101i) q^{79} +(14.1502 - 3.29618i) q^{80} +(18.2336 - 20.2505i) q^{81} +(0.383022 - 0.321715i) q^{82} +(-6.55360 - 1.03799i) q^{83} +(-0.367601 - 1.88126i) q^{84} +(0.803178 - 15.3255i) q^{85} +(-6.85836 + 6.40184i) q^{86} +(12.8294 + 7.40708i) q^{87} +(-9.22517 - 1.70181i) q^{88} +(2.64856 - 9.88455i) q^{89} +(1.36180 - 39.5546i) q^{90} +(-0.949045 + 0.463497i) q^{91} +(-1.23721 + 17.9467i) q^{92} +(-17.5200 + 6.72530i) q^{93} +(1.08813 + 6.15340i) q^{94} +(3.81842 + 0.811631i) q^{95} +(17.6861 - 5.45480i) q^{96} +(-1.90299 + 4.95745i) q^{97} +(6.41141 - 7.38281i) q^{98} +(-11.0160 + 23.0576i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1280 q - 12 q^{2} - 18 q^{4} - 24 q^{5} - 4 q^{6} - 12 q^{8} - 156 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1280 q - 12 q^{2} - 18 q^{4} - 24 q^{5} - 4 q^{6} - 12 q^{8} - 156 q^{9} - 48 q^{10} - 24 q^{13} - 40 q^{14} + 18 q^{16} - 36 q^{17} - 8 q^{18} + 18 q^{20} - 40 q^{21} - 10 q^{22} - 100 q^{24} - 44 q^{26} - 4 q^{28} - 12 q^{29} - 114 q^{30} - 92 q^{32} - 20 q^{33} + 36 q^{34} - 72 q^{36} - 24 q^{37} + 8 q^{40} + 26 q^{42} - 20 q^{44} - 80 q^{45} + 32 q^{46} + 30 q^{48} - 36 q^{49} - 78 q^{50} + 34 q^{52} - 80 q^{53} - 188 q^{54} - 48 q^{56} - 92 q^{58} + 20 q^{60} - 28 q^{61} + 42 q^{62} - 48 q^{65} + 204 q^{66} + 26 q^{68} - 36 q^{69} + 38 q^{70} - 136 q^{72} - 24 q^{73} - 6 q^{74} - 276 q^{76} - 156 q^{78} - 80 q^{80} + 60 q^{81} + 162 q^{82} - 108 q^{84} + 16 q^{85} - 88 q^{86} + 6 q^{88} - 64 q^{89} - 16 q^{92} + 64 q^{93} + 34 q^{94} + 114 q^{96} - 8 q^{97} - 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(353\) \(365\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.35262 0.412811i −0.956448 0.291901i
\(3\) 0.680250 + 3.20032i 0.392742 + 1.84771i 0.517723 + 0.855549i \(0.326780\pi\)
−0.124980 + 0.992159i \(0.539887\pi\)
\(4\) 1.65917 + 1.11675i 0.829587 + 0.558377i
\(5\) 0.568211 3.58755i 0.254112 1.60440i −0.449142 0.893460i \(-0.648270\pi\)
0.703254 0.710939i \(-0.251730\pi\)
\(6\) 0.401007 4.60964i 0.163710 1.88188i
\(7\) −0.245673 + 0.159542i −0.0928557 + 0.0603012i −0.590232 0.807234i \(-0.700964\pi\)
0.497376 + 0.867535i \(0.334297\pi\)
\(8\) −1.78323 2.19547i −0.630467 0.776216i
\(9\) −7.03870 + 3.13383i −2.34623 + 1.04461i
\(10\) −2.24955 + 4.61803i −0.711371 + 1.46035i
\(11\) 2.52336 2.15236i 0.760821 0.648961i
\(12\) −2.44532 + 6.06957i −0.705903 + 1.75213i
\(13\) 3.57891 + 0.437527i 0.992610 + 0.121348i
\(14\) 0.398164 0.114384i 0.106414 0.0305703i
\(15\) 11.8678 0.621967i 3.06426 0.160591i
\(16\) 1.50572 + 3.70578i 0.376430 + 0.926445i
\(17\) 4.20193 0.441640i 1.01912 0.107113i 0.419793 0.907620i \(-0.362103\pi\)
0.599324 + 0.800507i \(0.295436\pi\)
\(18\) 10.8144 1.33324i 2.54897 0.314247i
\(19\) −0.0562474 + 1.07326i −0.0129040 + 0.246224i 0.984560 + 0.175048i \(0.0560082\pi\)
−0.997464 + 0.0711750i \(0.977325\pi\)
\(20\) 4.94917 5.31781i 1.10667 1.18910i
\(21\) −0.677705 0.677705i −0.147887 0.147887i
\(22\) −4.30167 + 1.86966i −0.917119 + 0.398614i
\(23\) 4.49732 + 7.78959i 0.937757 + 1.62424i 0.769643 + 0.638475i \(0.220434\pi\)
0.168114 + 0.985768i \(0.446232\pi\)
\(24\) 5.81318 7.20038i 1.18661 1.46977i
\(25\) −7.79234 2.53188i −1.55847 0.506377i
\(26\) −4.66029 2.06922i −0.913959 0.405807i
\(27\) −9.04795 12.4534i −1.74128 2.39667i
\(28\) −0.585784 0.00964841i −0.110703 0.00182338i
\(29\) 3.02969 3.36481i 0.562600 0.624830i −0.392986 0.919545i \(-0.628558\pi\)
0.955585 + 0.294714i \(0.0952245\pi\)
\(30\) −16.3095 4.05788i −2.97768 0.740865i
\(31\) 0.897275 + 5.66517i 0.161155 + 1.01750i 0.927162 + 0.374662i \(0.122241\pi\)
−0.766006 + 0.642833i \(0.777759\pi\)
\(32\) −0.506887 5.63410i −0.0896057 0.995977i
\(33\) 8.60477 + 6.61142i 1.49790 + 1.15090i
\(34\) −5.86593 1.13723i −1.00600 0.195033i
\(35\) 0.432770 + 0.972017i 0.0731515 + 0.164301i
\(36\) −15.1781 2.66092i −2.52969 0.443487i
\(37\) −0.384616 + 0.0201569i −0.0632305 + 0.00331377i −0.0839250 0.996472i \(-0.526746\pi\)
0.0206945 + 0.999786i \(0.493412\pi\)
\(38\) 0.519136 1.42850i 0.0842150 0.231733i
\(39\) 1.03432 + 11.7513i 0.165624 + 1.88171i
\(40\) −8.88961 + 5.14992i −1.40557 + 0.814274i
\(41\) −0.192638 + 0.296637i −0.0300850 + 0.0463269i −0.853393 0.521268i \(-0.825459\pi\)
0.823308 + 0.567595i \(0.192126\pi\)
\(42\) 0.636915 + 1.19644i 0.0982781 + 0.184615i
\(43\) 3.31701 5.74524i 0.505840 0.876140i −0.494137 0.869384i \(-0.664516\pi\)
0.999977 0.00675644i \(-0.00215066\pi\)
\(44\) 6.59035 0.753173i 0.993533 0.113545i
\(45\) 7.24329 + 27.0323i 1.07977 + 4.02974i
\(46\) −2.86755 12.3929i −0.422798 1.82724i
\(47\) −2.00601 3.93702i −0.292607 0.574273i 0.697169 0.716907i \(-0.254443\pi\)
−0.989776 + 0.142634i \(0.954443\pi\)
\(48\) −10.8354 + 7.33965i −1.56396 + 1.05939i
\(49\) −2.81225 + 6.31643i −0.401751 + 0.902347i
\(50\) 9.49490 + 6.64144i 1.34278 + 0.939242i
\(51\) 4.27175 + 13.1471i 0.598165 + 1.84096i
\(52\) 5.44942 + 4.72269i 0.755699 + 0.654920i
\(53\) 3.60663 + 2.62037i 0.495408 + 0.359935i 0.807260 0.590195i \(-0.200949\pi\)
−0.311852 + 0.950131i \(0.600949\pi\)
\(54\) 7.09755 + 20.5799i 0.965855 + 2.80057i
\(55\) −6.28789 10.2757i −0.847860 1.38557i
\(56\) 0.788361 + 0.254868i 0.105349 + 0.0340582i
\(57\) −3.47305 + 0.550078i −0.460017 + 0.0728596i
\(58\) −5.48706 + 3.30063i −0.720486 + 0.433394i
\(59\) −2.77181 + 1.80003i −0.360858 + 0.234344i −0.712315 0.701860i \(-0.752353\pi\)
0.351456 + 0.936204i \(0.385687\pi\)
\(60\) 20.3854 + 12.2215i 2.63174 + 1.57779i
\(61\) −0.0173975 0.165526i −0.00222752 0.0211934i 0.993352 0.115119i \(-0.0367250\pi\)
−0.995579 + 0.0939258i \(0.970058\pi\)
\(62\) 1.12497 8.03324i 0.142871 1.02022i
\(63\) 1.22924 1.89286i 0.154870 0.238479i
\(64\) −1.64019 + 7.83006i −0.205024 + 0.978757i
\(65\) 3.60322 12.5909i 0.446925 1.56171i
\(66\) −8.90974 12.4949i −1.09671 1.53802i
\(67\) 1.23337 4.60300i 0.150680 0.562345i −0.848757 0.528784i \(-0.822648\pi\)
0.999437 0.0335617i \(-0.0106850\pi\)
\(68\) 7.46493 + 3.95976i 0.905256 + 0.480191i
\(69\) −21.8699 + 19.6918i −2.63283 + 2.37061i
\(70\) −0.184115 1.49342i −0.0220060 0.178498i
\(71\) −3.64342 + 4.49925i −0.432394 + 0.533962i −0.946044 0.324037i \(-0.894960\pi\)
0.513650 + 0.858000i \(0.328293\pi\)
\(72\) 19.4318 + 9.86492i 2.29006 + 1.16259i
\(73\) 2.06059 4.04414i 0.241174 0.473330i −0.738414 0.674348i \(-0.764425\pi\)
0.979588 + 0.201018i \(0.0644248\pi\)
\(74\) 0.528561 + 0.131509i 0.0614440 + 0.0152876i
\(75\) 2.80211 26.6603i 0.323560 3.07847i
\(76\) −1.29190 + 1.71792i −0.148191 + 0.197059i
\(77\) −0.276529 + 0.931359i −0.0315134 + 0.106138i
\(78\) 3.45201 16.3220i 0.390863 1.84811i
\(79\) 3.38642 4.66101i 0.381003 0.524405i −0.574847 0.818261i \(-0.694939\pi\)
0.955850 + 0.293856i \(0.0949385\pi\)
\(80\) 14.1502 3.29618i 1.58204 0.368524i
\(81\) 18.2336 20.2505i 2.02596 2.25005i
\(82\) 0.383022 0.321715i 0.0422977 0.0355274i
\(83\) −6.55360 1.03799i −0.719351 0.113934i −0.213982 0.976838i \(-0.568643\pi\)
−0.505369 + 0.862904i \(0.668643\pi\)
\(84\) −0.367601 1.88126i −0.0401086 0.205262i
\(85\) 0.803178 15.3255i 0.0871169 1.66229i
\(86\) −6.85836 + 6.40184i −0.739556 + 0.690328i
\(87\) 12.8294 + 7.40708i 1.37546 + 0.794123i
\(88\) −9.22517 1.70181i −0.983407 0.181413i
\(89\) 2.64856 9.88455i 0.280747 1.04776i −0.671145 0.741326i \(-0.734197\pi\)
0.951892 0.306435i \(-0.0991361\pi\)
\(90\) 1.36180 39.5546i 0.143546 4.16942i
\(91\) −0.949045 + 0.463497i −0.0994869 + 0.0485877i
\(92\) −1.23721 + 17.9467i −0.128988 + 1.87107i
\(93\) −17.5200 + 6.72530i −1.81674 + 0.697381i
\(94\) 1.08813 + 6.15340i 0.112232 + 0.634675i
\(95\) 3.81842 + 0.811631i 0.391762 + 0.0832715i
\(96\) 17.6861 5.45480i 1.80508 0.556728i
\(97\) −1.90299 + 4.95745i −0.193219 + 0.503353i −0.995626 0.0934238i \(-0.970219\pi\)
0.802407 + 0.596777i \(0.203552\pi\)
\(98\) 6.41141 7.38281i 0.647650 0.745777i
\(99\) −11.0160 + 23.0576i −1.10715 + 2.31738i
\(100\) −10.1014 12.9030i −1.01014 1.29030i
\(101\) 8.16064 + 0.857718i 0.812014 + 0.0853461i 0.501428 0.865199i \(-0.332808\pi\)
0.310586 + 0.950545i \(0.399475\pi\)
\(102\) −0.350803 19.5465i −0.0347347 1.93539i
\(103\) 1.88728 + 5.80847i 0.185960 + 0.572325i 0.999964 0.00853433i \(-0.00271659\pi\)
−0.814004 + 0.580859i \(0.802717\pi\)
\(104\) −5.42143 8.63760i −0.531615 0.846986i
\(105\) −2.81638 + 2.04622i −0.274850 + 0.199690i
\(106\) −3.79669 5.03322i −0.368767 0.488870i
\(107\) 0.503364 + 2.36814i 0.0486620 + 0.228937i 0.995758 0.0920147i \(-0.0293307\pi\)
−0.947096 + 0.320951i \(0.895997\pi\)
\(108\) −1.10471 30.7668i −0.106300 2.96053i
\(109\) −13.2693 + 13.2693i −1.27097 + 1.27097i −0.325387 + 0.945581i \(0.605495\pi\)
−0.945581 + 0.325387i \(0.894505\pi\)
\(110\) 4.26324 + 16.4948i 0.406484 + 1.57272i
\(111\) −0.326143 1.21718i −0.0309562 0.115530i
\(112\) −0.961143 0.670185i −0.0908194 0.0633265i
\(113\) −7.94952 8.82884i −0.747828 0.830547i 0.242375 0.970183i \(-0.422074\pi\)
−0.990203 + 0.139636i \(0.955407\pi\)
\(114\) 4.92481 + 0.689666i 0.461250 + 0.0645932i
\(115\) 30.5009 11.7082i 2.84423 1.09180i
\(116\) 8.78446 2.19939i 0.815617 0.204209i
\(117\) −26.5620 + 8.13606i −2.45565 + 0.752179i
\(118\) 4.49228 1.29053i 0.413548 0.118803i
\(119\) −0.961840 + 0.778883i −0.0881717 + 0.0714000i
\(120\) −22.5286 24.9464i −2.05657 2.27728i
\(121\) 1.73468 10.8624i 0.157698 0.987487i
\(122\) −0.0447987 + 0.231076i −0.00405588 + 0.0209206i
\(123\) −1.08038 0.414718i −0.0974143 0.0373938i
\(124\) −4.83787 + 10.4015i −0.434453 + 0.934086i
\(125\) −5.26587 + 10.3349i −0.470994 + 0.924378i
\(126\) −2.44409 + 2.05289i −0.217737 + 0.182886i
\(127\) −1.74137 0.775307i −0.154521 0.0687974i 0.328019 0.944671i \(-0.393619\pi\)
−0.482540 + 0.875874i \(0.660286\pi\)
\(128\) 5.45089 9.91402i 0.481795 0.876284i
\(129\) 20.6430 + 6.70732i 1.81752 + 0.590547i
\(130\) −10.0715 + 15.5433i −0.883325 + 1.36323i
\(131\) 9.39329i 0.820695i 0.911929 + 0.410348i \(0.134593\pi\)
−0.911929 + 0.410348i \(0.865407\pi\)
\(132\) 6.89348 + 20.5789i 0.600001 + 1.79116i
\(133\) −0.157412 0.272646i −0.0136494 0.0236414i
\(134\) −3.56845 + 5.71697i −0.308267 + 0.493871i
\(135\) −49.8184 + 25.3838i −4.28769 + 2.18469i
\(136\) −8.46260 8.43766i −0.725662 0.723524i
\(137\) −5.12375 + 6.32731i −0.437752 + 0.540578i −0.947504 0.319743i \(-0.896404\pi\)
0.509753 + 0.860321i \(0.329737\pi\)
\(138\) 37.7107 17.6074i 3.21015 1.49884i
\(139\) 0.632447 2.97543i 0.0536435 0.252373i −0.943152 0.332361i \(-0.892155\pi\)
0.996796 + 0.0799880i \(0.0254882\pi\)
\(140\) −0.367463 + 2.09604i −0.0310563 + 0.177148i
\(141\) 11.2351 9.09804i 0.946170 0.766193i
\(142\) 6.78551 4.58174i 0.569427 0.384491i
\(143\) 9.97258 6.59906i 0.833949 0.551841i
\(144\) −22.2116 21.3652i −1.85097 1.78043i
\(145\) −10.3499 12.7811i −0.859514 1.06141i
\(146\) −4.45666 + 4.61955i −0.368836 + 0.382317i
\(147\) −22.1276 4.70338i −1.82506 0.387928i
\(148\) −0.660655 0.396078i −0.0543055 0.0325574i
\(149\) −6.65048 5.38545i −0.544828 0.441193i 0.316976 0.948433i \(-0.397332\pi\)
−0.861805 + 0.507240i \(0.830666\pi\)
\(150\) −14.7959 + 34.9046i −1.20808 + 2.84995i
\(151\) 2.51565 + 4.93724i 0.204721 + 0.401787i 0.970424 0.241407i \(-0.0776089\pi\)
−0.765703 + 0.643194i \(0.777609\pi\)
\(152\) 2.45662 1.79038i 0.199258 0.145219i
\(153\) −28.1920 + 16.2767i −2.27919 + 1.31589i
\(154\) 0.758515 1.14562i 0.0611229 0.0923169i
\(155\) 20.8339 1.67342
\(156\) −11.4072 + 20.6525i −0.913305 + 1.65352i
\(157\) 4.94717 15.2258i 0.394827 1.21515i −0.534269 0.845315i \(-0.679413\pi\)
0.929096 0.369839i \(-0.120587\pi\)
\(158\) −6.50467 + 4.90664i −0.517484 + 0.390351i
\(159\) −5.93262 + 13.3249i −0.470487 + 1.05673i
\(160\) −20.5006 1.38288i −1.62072 0.109326i
\(161\) −2.34764 1.19618i −0.185020 0.0942723i
\(162\) −33.0228 + 19.8642i −2.59451 + 1.56068i
\(163\) 1.26229 3.28837i 0.0988699 0.257565i −0.875220 0.483724i \(-0.839284\pi\)
0.974090 + 0.226160i \(0.0726171\pi\)
\(164\) −0.650891 + 0.277043i −0.0508261 + 0.0216334i
\(165\) 28.6081 27.1133i 2.22714 2.11077i
\(166\) 8.43605 + 4.10940i 0.654765 + 0.318951i
\(167\) −10.8851 13.4420i −0.842313 1.04017i −0.998623 0.0524619i \(-0.983293\pi\)
0.156310 0.987708i \(-0.450040\pi\)
\(168\) −0.279379 + 2.69639i −0.0215546 + 0.208031i
\(169\) 12.6171 + 3.13174i 0.970549 + 0.240903i
\(170\) −7.41294 + 20.3981i −0.568547 + 1.56446i
\(171\) −2.96752 7.73064i −0.226932 0.591177i
\(172\) 11.9195 5.82806i 0.908855 0.444386i
\(173\) 4.77901 4.30304i 0.363341 0.327154i −0.467158 0.884174i \(-0.654722\pi\)
0.830499 + 0.557020i \(0.188055\pi\)
\(174\) −14.2957 15.3151i −1.08375 1.16104i
\(175\) 2.31831 0.621189i 0.175248 0.0469575i
\(176\) 11.7757 + 6.11016i 0.887623 + 0.460570i
\(177\) −7.64621 7.64621i −0.574724 0.574724i
\(178\) −7.66295 + 12.2767i −0.574362 + 0.920179i
\(179\) −4.22512 + 0.898078i −0.315801 + 0.0671255i −0.363085 0.931756i \(-0.618277\pi\)
0.0472845 + 0.998881i \(0.484943\pi\)
\(180\) −18.1706 + 52.9403i −1.35435 + 3.94594i
\(181\) −6.93986 9.55190i −0.515836 0.709987i 0.469054 0.883170i \(-0.344595\pi\)
−0.984890 + 0.173182i \(0.944595\pi\)
\(182\) 1.47504 0.235161i 0.109337 0.0174313i
\(183\) 0.517902 0.168277i 0.0382844 0.0124394i
\(184\) 9.08207 23.7644i 0.669539 1.75193i
\(185\) −0.146229 + 1.39128i −0.0107510 + 0.102289i
\(186\) 26.4742 1.86435i 1.94119 0.136701i
\(187\) 9.65240 10.1585i 0.705853 0.742862i
\(188\) 1.06836 8.77242i 0.0779181 0.639795i
\(189\) 4.20969 + 1.61595i 0.306210 + 0.117543i
\(190\) −4.82983 2.67411i −0.350393 0.194001i
\(191\) 0.904953 4.25747i 0.0654801 0.308060i −0.933204 0.359348i \(-0.882999\pi\)
0.998684 + 0.0512878i \(0.0163326\pi\)
\(192\) −26.1745 + 0.0772551i −1.88898 + 0.00557541i
\(193\) −6.81253 17.7472i −0.490377 1.27747i −0.926060 0.377375i \(-0.876827\pi\)
0.435684 0.900100i \(-0.356507\pi\)
\(194\) 4.62051 5.91999i 0.331733 0.425030i
\(195\) 42.7460 + 2.96654i 3.06110 + 0.212438i
\(196\) −11.7199 + 7.33946i −0.837137 + 0.524247i
\(197\) 13.4402 + 3.60130i 0.957578 + 0.256582i 0.703575 0.710621i \(-0.251586\pi\)
0.254003 + 0.967203i \(0.418253\pi\)
\(198\) 24.4189 26.6407i 1.73538 1.89327i
\(199\) −9.97398 + 17.2754i −0.707037 + 1.22462i 0.258915 + 0.965900i \(0.416635\pi\)
−0.965952 + 0.258723i \(0.916698\pi\)
\(200\) 8.33684 + 21.6228i 0.589504 + 1.52896i
\(201\) 15.5701 + 0.815993i 1.09823 + 0.0575557i
\(202\) −10.6842 4.52897i −0.751737 0.318657i
\(203\) −0.207485 + 1.31001i −0.0145626 + 0.0919445i
\(204\) −7.59449 + 26.5838i −0.531721 + 1.86124i
\(205\) 0.954739 + 0.859651i 0.0666819 + 0.0600406i
\(206\) −0.154987 8.63575i −0.0107985 0.601681i
\(207\) −56.0665 40.7347i −3.89689 2.83126i
\(208\) 3.76746 + 13.9214i 0.261226 + 0.965278i
\(209\) 2.16812 + 2.82929i 0.149972 + 0.195706i
\(210\) 4.65420 1.60513i 0.321170 0.110764i
\(211\) −23.8885 2.51078i −1.64455 0.172849i −0.763480 0.645832i \(-0.776511\pi\)
−0.881072 + 0.472982i \(0.843178\pi\)
\(212\) 3.05772 + 8.37536i 0.210005 + 0.575222i
\(213\) −16.8775 8.59951i −1.15643 0.589229i
\(214\) 0.296733 3.41099i 0.0202842 0.233171i
\(215\) −18.7265 15.1644i −1.27714 1.03421i
\(216\) −11.2066 + 42.0719i −0.762513 + 2.86263i
\(217\) −1.12427 1.24863i −0.0763204 0.0847623i
\(218\) 23.4261 12.4706i 1.58661 0.844618i
\(219\) 14.3443 + 3.84353i 0.969295 + 0.259722i
\(220\) 1.04267 24.0711i 0.0702968 1.62288i
\(221\) 15.2315 + 0.257868i 1.02458 + 0.0173461i
\(222\) −0.0613176 + 1.78103i −0.00411537 + 0.119535i
\(223\) −7.03756 4.57024i −0.471270 0.306046i 0.287066 0.957911i \(-0.407320\pi\)
−0.758335 + 0.651865i \(0.773987\pi\)
\(224\) 1.02340 + 1.30328i 0.0683790 + 0.0870788i
\(225\) 62.7824 6.59869i 4.18549 0.439913i
\(226\) 7.10806 + 15.2237i 0.472821 + 1.01267i
\(227\) 0.262263 + 0.403850i 0.0174070 + 0.0268045i 0.847267 0.531167i \(-0.178246\pi\)
−0.829860 + 0.557972i \(0.811580\pi\)
\(228\) −6.37670 2.96587i −0.422307 0.196420i
\(229\) 2.91617 + 18.4120i 0.192706 + 1.21670i 0.874453 + 0.485110i \(0.161221\pi\)
−0.681747 + 0.731588i \(0.738779\pi\)
\(230\) −46.0895 + 3.24568i −3.03905 + 0.214014i
\(231\) −3.16876 0.251427i −0.208489 0.0165426i
\(232\) −12.7900 0.651369i −0.839704 0.0427645i
\(233\) 9.72611 13.3868i 0.637179 0.877001i −0.361283 0.932456i \(-0.617661\pi\)
0.998461 + 0.0554553i \(0.0176610\pi\)
\(234\) 39.2870 0.0399526i 2.56827 0.00261178i
\(235\) −15.2641 + 4.95960i −0.995719 + 0.323529i
\(236\) −6.60910 0.108858i −0.430216 0.00708606i
\(237\) 17.2204 + 7.66700i 1.11858 + 0.498025i
\(238\) 1.62254 0.656476i 0.105173 0.0425530i
\(239\) 19.7238 10.0498i 1.27582 0.650065i 0.320956 0.947094i \(-0.395996\pi\)
0.954868 + 0.297030i \(0.0959960\pi\)
\(240\) 20.1745 + 43.0431i 1.30226 + 2.77842i
\(241\) −14.7414 + 3.94993i −0.949574 + 0.254438i −0.700182 0.713965i \(-0.746898\pi\)
−0.249393 + 0.968402i \(0.580231\pi\)
\(242\) −6.83046 + 13.9766i −0.439079 + 0.898449i
\(243\) 37.2185 + 21.4881i 2.38757 + 1.37846i
\(244\) 0.155986 0.294065i 0.00998601 0.0188256i
\(245\) 21.0625 + 13.6782i 1.34563 + 0.873866i
\(246\) 1.29014 + 1.00695i 0.0822564 + 0.0642006i
\(247\) −0.670886 + 3.81650i −0.0426875 + 0.242838i
\(248\) 10.8377 12.0722i 0.688193 0.766588i
\(249\) −1.13619 21.6797i −0.0720029 1.37390i
\(250\) 11.3891 11.8054i 0.720309 0.746636i
\(251\) 6.47483 2.88278i 0.408687 0.181959i −0.192087 0.981378i \(-0.561526\pi\)
0.600775 + 0.799419i \(0.294859\pi\)
\(252\) 4.15339 1.76783i 0.261639 0.111363i
\(253\) 28.1144 + 9.97607i 1.76754 + 0.627190i
\(254\) 2.03536 + 1.76755i 0.127710 + 0.110906i
\(255\) 49.5931 7.85477i 3.10564 0.491885i
\(256\) −11.4656 + 11.1597i −0.716600 + 0.697484i
\(257\) −9.51378 8.56624i −0.593453 0.534348i 0.316750 0.948509i \(-0.397408\pi\)
−0.910203 + 0.414161i \(0.864075\pi\)
\(258\) −25.1533 17.5941i −1.56598 1.09536i
\(259\) 0.0912739 0.0663144i 0.00567149 0.00412058i
\(260\) 20.0393 16.8666i 1.24278 1.04602i
\(261\) −10.7803 + 33.1784i −0.667286 + 2.05369i
\(262\) 3.87765 12.7056i 0.239562 0.784953i
\(263\) 0.532334 0.307343i 0.0328252 0.0189516i −0.483498 0.875346i \(-0.660634\pi\)
0.516323 + 0.856394i \(0.327300\pi\)
\(264\) −0.829085 30.6812i −0.0510266 1.88830i
\(265\) 11.4500 11.4500i 0.703369 0.703369i
\(266\) 0.100368 + 0.433768i 0.00615396 + 0.0265960i
\(267\) 33.4355 + 1.75228i 2.04622 + 0.107238i
\(268\) 7.18679 6.25980i 0.439003 0.382378i
\(269\) −0.699467 6.65498i −0.0426473 0.405762i −0.994932 0.100550i \(-0.967940\pi\)
0.952285 0.305211i \(-0.0987270\pi\)
\(270\) 77.8642 13.7691i 4.73867 0.837958i
\(271\) 1.40217 + 26.7549i 0.0851755 + 1.62525i 0.623023 + 0.782204i \(0.285904\pi\)
−0.537847 + 0.843042i \(0.680762\pi\)
\(272\) 7.96355 + 14.9064i 0.482861 + 0.903835i
\(273\) −2.12893 2.72196i −0.128849 0.164740i
\(274\) 9.54248 6.44332i 0.576483 0.389255i
\(275\) −25.1124 + 10.3831i −1.51433 + 0.626123i
\(276\) −58.2769 + 8.24875i −3.50785 + 0.496517i
\(277\) −1.92540 4.32451i −0.115686 0.259835i 0.846417 0.532520i \(-0.178755\pi\)
−0.962103 + 0.272685i \(0.912088\pi\)
\(278\) −2.08375 + 3.76355i −0.124975 + 0.225723i
\(279\) −24.0693 37.0635i −1.44099 2.21893i
\(280\) 1.36231 2.68346i 0.0814135 0.160368i
\(281\) −31.1173 4.92850i −1.85630 0.294010i −0.874660 0.484737i \(-0.838915\pi\)
−0.981643 + 0.190728i \(0.938915\pi\)
\(282\) −18.9527 + 7.66823i −1.12862 + 0.456636i
\(283\) 1.26157 0.268155i 0.0749925 0.0159402i −0.170263 0.985399i \(-0.554462\pi\)
0.245255 + 0.969459i \(0.421128\pi\)
\(284\) −11.0696 + 3.39624i −0.656861 + 0.201529i
\(285\) 12.7723i 0.756566i
\(286\) −16.2133 + 4.80925i −0.958713 + 0.284377i
\(287\) 0.103610i 0.00611588i
\(288\) 21.2241 + 38.0682i 1.25064 + 2.24319i
\(289\) 0.832620 0.176979i 0.0489777 0.0104105i
\(290\) 8.72336 + 21.5605i 0.512254 + 1.26608i
\(291\) −17.1600 2.71787i −1.00593 0.159324i
\(292\) 7.93518 4.40876i 0.464371 0.258003i
\(293\) 0.800443 + 1.23257i 0.0467624 + 0.0720077i 0.861279 0.508133i \(-0.169664\pi\)
−0.814516 + 0.580141i \(0.802998\pi\)
\(294\) 27.9887 + 15.4964i 1.63234 + 0.903770i
\(295\) 4.88273 + 10.9668i 0.284283 + 0.638511i
\(296\) 0.730112 + 0.808469i 0.0424369 + 0.0469913i
\(297\) −49.6355 11.9500i −2.88015 0.693411i
\(298\) 6.77241 + 10.0299i 0.392315 + 0.581015i
\(299\) 12.6873 + 29.8459i 0.733728 + 1.72603i
\(300\) 34.4222 41.1048i 1.98737 2.37319i
\(301\) 0.101705 + 1.94065i 0.00586220 + 0.111857i
\(302\) −1.36458 7.71671i −0.0785226 0.444047i
\(303\) 2.80630 + 26.7002i 0.161218 + 1.53388i
\(304\) −4.06197 + 1.40760i −0.232970 + 0.0807311i
\(305\) −0.603718 0.0316395i −0.0345688 0.00181167i
\(306\) 44.8524 10.3782i 2.56404 0.593284i
\(307\) 7.65794 7.65794i 0.437062 0.437062i −0.453960 0.891022i \(-0.649989\pi\)
0.891022 + 0.453960i \(0.149989\pi\)
\(308\) −1.49891 + 1.23647i −0.0854083 + 0.0704545i
\(309\) −17.3051 + 9.99113i −0.984455 + 0.568376i
\(310\) −28.1804 8.60046i −1.60054 0.488473i
\(311\) −2.96887 + 9.13725i −0.168349 + 0.518126i −0.999267 0.0382686i \(-0.987816\pi\)
0.830918 + 0.556395i \(0.187816\pi\)
\(312\) 23.9552 23.2261i 1.35620 1.31492i
\(313\) −1.59840 + 1.16131i −0.0903470 + 0.0656409i −0.632042 0.774934i \(-0.717783\pi\)
0.541695 + 0.840575i \(0.317783\pi\)
\(314\) −12.9770 + 18.5526i −0.732337 + 1.04698i
\(315\) −6.09227 5.48550i −0.343261 0.309073i
\(316\) 10.8239 3.95163i 0.608891 0.222297i
\(317\) −12.5192 + 1.98284i −0.703146 + 0.111367i −0.497762 0.867314i \(-0.665845\pi\)
−0.205385 + 0.978681i \(0.565845\pi\)
\(318\) 13.5252 15.5745i 0.758458 0.873373i
\(319\) 0.402703 15.0116i 0.0225471 0.840490i
\(320\) 27.1587 + 10.3334i 1.51822 + 0.577654i
\(321\) −7.23640 + 3.22185i −0.403897 + 0.179826i
\(322\) 2.68167 + 2.58711i 0.149444 + 0.144174i
\(323\) 0.237649 + 4.53461i 0.0132231 + 0.252313i
\(324\) 52.8675 13.2366i 2.93708 0.735367i
\(325\) −26.7803 12.4707i −1.48550 0.691752i
\(326\) −3.06487 + 3.92683i −0.169747 + 0.217487i
\(327\) −51.4925 33.4396i −2.84754 1.84921i
\(328\) 0.994776 0.106040i 0.0549273 0.00585506i
\(329\) 1.12094 + 0.647177i 0.0617996 + 0.0356800i
\(330\) −49.8886 + 24.8643i −2.74628 + 1.36874i
\(331\) −13.0296 + 3.49128i −0.716172 + 0.191898i −0.598463 0.801150i \(-0.704222\pi\)
−0.117709 + 0.993048i \(0.537555\pi\)
\(332\) −9.71439 9.04096i −0.533146 0.496187i
\(333\) 2.64403 1.34720i 0.144892 0.0738260i
\(334\) 9.17442 + 22.6754i 0.502002 + 1.24074i
\(335\) −15.8126 7.04024i −0.863937 0.384649i
\(336\) 1.49099 3.53186i 0.0813402 0.192679i
\(337\) −30.8204 + 10.0142i −1.67890 + 0.545507i −0.984697 0.174276i \(-0.944242\pi\)
−0.694200 + 0.719783i \(0.744242\pi\)
\(338\) −15.7734 9.44455i −0.857960 0.513716i
\(339\) 22.8475 31.4469i 1.24090 1.70796i
\(340\) 18.4475 24.5308i 1.00045 1.33037i
\(341\) 14.4576 + 12.3640i 0.782926 + 0.669548i
\(342\) 0.822636 + 11.6817i 0.0444831 + 0.631672i
\(343\) −0.637612 4.02572i −0.0344278 0.217369i
\(344\) −18.5285 + 2.96266i −0.998990 + 0.159736i
\(345\) 58.2183 + 89.6484i 3.13437 + 4.82651i
\(346\) −8.24053 + 3.84756i −0.443014 + 0.206846i
\(347\) −25.1231 + 2.64054i −1.34868 + 0.141752i −0.751169 0.660110i \(-0.770510\pi\)
−0.597510 + 0.801862i \(0.703843\pi\)
\(348\) 13.0144 + 26.6170i 0.697645 + 1.42682i
\(349\) 9.82698 + 6.38171i 0.526026 + 0.341605i 0.780177 0.625559i \(-0.215129\pi\)
−0.254151 + 0.967165i \(0.581796\pi\)
\(350\) −3.39223 0.116789i −0.181322 0.00624261i
\(351\) −26.9331 48.5284i −1.43758 2.59026i
\(352\) −13.4057 13.1258i −0.714525 0.699610i
\(353\) 3.20122 + 0.857764i 0.170384 + 0.0456542i 0.343002 0.939335i \(-0.388556\pi\)
−0.172619 + 0.984989i \(0.555223\pi\)
\(354\) 7.18599 + 13.4989i 0.381931 + 0.717457i
\(355\) 14.0710 + 15.6275i 0.746812 + 0.829419i
\(356\) 15.4330 13.4424i 0.817949 0.712447i
\(357\) −3.14697 2.54836i −0.166555 0.134874i
\(358\) 6.08573 + 0.529416i 0.321641 + 0.0279805i
\(359\) −27.2568 13.8880i −1.43856 0.732982i −0.451339 0.892353i \(-0.649053\pi\)
−0.987219 + 0.159371i \(0.949053\pi\)
\(360\) 46.4322 64.1072i 2.44719 3.37875i
\(361\) 17.7472 + 1.86530i 0.934062 + 0.0981739i
\(362\) 5.44389 + 15.7850i 0.286124 + 0.829640i
\(363\) 35.9431 1.83759i 1.88652 0.0964483i
\(364\) −2.09224 0.290827i −0.109663 0.0152435i
\(365\) −13.3377 9.69038i −0.698126 0.507218i
\(366\) −0.769993 + 0.0138192i −0.0402482 + 0.000722339i
\(367\) 19.8556 + 17.8781i 1.03646 + 0.933229i 0.997818 0.0660247i \(-0.0210316\pi\)
0.0386374 + 0.999253i \(0.487698\pi\)
\(368\) −22.0948 + 28.3950i −1.15177 + 1.48019i
\(369\) 0.426313 2.69163i 0.0221930 0.140121i
\(370\) 0.772129 1.82151i 0.0401411 0.0946959i
\(371\) −1.30411 0.0683455i −0.0677060 0.00354832i
\(372\) −36.5793 8.40709i −1.89655 0.435887i
\(373\) −1.44524 + 2.50322i −0.0748316 + 0.129612i −0.901013 0.433792i \(-0.857175\pi\)
0.826181 + 0.563404i \(0.190509\pi\)
\(374\) −17.2496 + 9.75597i −0.891954 + 0.504469i
\(375\) −36.6570 9.82222i −1.89296 0.507217i
\(376\) −5.06644 + 11.4247i −0.261282 + 0.589186i
\(377\) 12.3152 10.7168i 0.634264 0.551942i
\(378\) −5.02703 3.92357i −0.258563 0.201807i
\(379\) 4.07128 + 10.6060i 0.209127 + 0.544796i 0.997521 0.0703761i \(-0.0224200\pi\)
−0.788393 + 0.615172i \(0.789087\pi\)
\(380\) 5.42904 + 5.61087i 0.278504 + 0.287832i
\(381\) 1.29667 6.10034i 0.0664303 0.312530i
\(382\) −2.98159 + 5.38518i −0.152551 + 0.275530i
\(383\) −18.6212 7.14800i −0.951497 0.365246i −0.167404 0.985888i \(-0.553538\pi\)
−0.784093 + 0.620643i \(0.786872\pi\)
\(384\) 35.4360 + 10.7006i 1.80834 + 0.546063i
\(385\) 3.18417 + 1.52127i 0.162280 + 0.0775311i
\(386\) 1.88853 + 26.8176i 0.0961235 + 1.36498i
\(387\) −5.34286 + 50.8339i −0.271593 + 2.58403i
\(388\) −8.69364 + 6.10011i −0.441353 + 0.309686i
\(389\) 19.2265 6.24708i 0.974824 0.316740i 0.222062 0.975032i \(-0.428721\pi\)
0.752762 + 0.658293i \(0.228721\pi\)
\(390\) −56.5946 21.6586i −2.86578 1.09673i
\(391\) 22.3376 + 30.7451i 1.12966 + 1.55485i
\(392\) 18.8824 5.08941i 0.953707 0.257054i
\(393\) −30.0616 + 6.38978i −1.51640 + 0.322322i
\(394\) −16.6929 10.4195i −0.840977 0.524926i
\(395\) −14.7974 14.7974i −0.744538 0.744538i
\(396\) −44.0272 + 25.9544i −2.21245 + 1.30426i
\(397\) 32.0721 8.59368i 1.60965 0.431305i 0.661712 0.749758i \(-0.269830\pi\)
0.947938 + 0.318454i \(0.103164\pi\)
\(398\) 20.6225 19.2498i 1.03371 0.964904i
\(399\) 0.765475 0.689237i 0.0383217 0.0345050i
\(400\) −2.35048 32.6890i −0.117524 1.63445i
\(401\) 9.74696 + 25.3917i 0.486740 + 1.26800i 0.928655 + 0.370944i \(0.120966\pi\)
−0.441915 + 0.897057i \(0.645701\pi\)
\(402\) −20.7236 7.53122i −1.03360 0.375623i
\(403\) 0.732596 + 20.6677i 0.0364932 + 1.02953i
\(404\) 12.5821 + 10.5365i 0.625981 + 0.524212i
\(405\) −62.2889 76.9204i −3.09516 3.82221i
\(406\) 0.821434 1.68629i 0.0407671 0.0836893i
\(407\) −0.927139 + 0.878696i −0.0459566 + 0.0435553i
\(408\) 21.2466 32.8228i 1.05186 1.62497i
\(409\) −10.3477 + 26.9566i −0.511660 + 1.33292i 0.397931 + 0.917415i \(0.369728\pi\)
−0.909591 + 0.415505i \(0.863605\pi\)
\(410\) −0.936529 1.55691i −0.0462519 0.0768903i
\(411\) −23.7349 12.0935i −1.17075 0.596529i
\(412\) −3.35529 + 11.7449i −0.165303 + 0.578629i
\(413\) 0.393778 0.884439i 0.0193765 0.0435204i
\(414\) 59.0211 + 78.2436i 2.90073 + 3.84546i
\(415\) −7.44766 + 22.9215i −0.365591 + 1.12517i
\(416\) 0.650972 20.3857i 0.0319165 0.999491i
\(417\) 9.95256 0.487379
\(418\) −1.76468 4.72199i −0.0863135 0.230960i
\(419\) 17.8198 10.2882i 0.870552 0.502613i 0.00302027 0.999995i \(-0.499039\pi\)
0.867532 + 0.497382i \(0.165705\pi\)
\(420\) −6.95798 + 0.249832i −0.339515 + 0.0121906i
\(421\) 12.2382 + 24.0189i 0.596454 + 1.17061i 0.970025 + 0.243006i \(0.0781334\pi\)
−0.373570 + 0.927602i \(0.621867\pi\)
\(422\) 31.2756 + 13.2576i 1.52247 + 0.645368i
\(423\) 26.4577 + 21.4250i 1.28642 + 1.04172i
\(424\) −0.678498 12.5910i −0.0329508 0.611471i
\(425\) −33.8610 7.19738i −1.64250 0.349124i
\(426\) 19.2789 + 18.5991i 0.934065 + 0.901129i
\(427\) 0.0306824 + 0.0378897i 0.00148483 + 0.00183361i
\(428\) −1.80946 + 4.49129i −0.0874636 + 0.217095i
\(429\) 27.9030 + 27.4265i 1.34717 + 1.32416i
\(430\) 19.0699 + 28.2423i 0.919631 + 1.36196i
\(431\) −3.01452 + 2.44111i −0.145204 + 0.117584i −0.699170 0.714955i \(-0.746447\pi\)
0.553966 + 0.832539i \(0.313114\pi\)
\(432\) 32.5260 52.2811i 1.56491 2.51538i
\(433\) 3.02087 14.2121i 0.145174 0.682990i −0.844012 0.536324i \(-0.819813\pi\)
0.989186 0.146666i \(-0.0468541\pi\)
\(434\) 1.00526 + 2.15303i 0.0482543 + 0.103349i
\(435\) 33.8631 41.8174i 1.62361 2.00499i
\(436\) −36.8346 + 7.19754i −1.76406 + 0.344700i
\(437\) −8.61325 + 4.38867i −0.412028 + 0.209939i
\(438\) −17.8157 11.1203i −0.851268 0.531349i
\(439\) −7.45196 12.9072i −0.355663 0.616026i 0.631568 0.775320i \(-0.282411\pi\)
−0.987231 + 0.159294i \(0.949078\pi\)
\(440\) −11.3472 + 32.1287i −0.540955 + 1.53168i
\(441\) 53.2725i 2.53679i
\(442\) −20.4961 6.63653i −0.974898 0.315668i
\(443\) −19.2648 6.25953i −0.915300 0.297399i −0.186763 0.982405i \(-0.559800\pi\)
−0.728537 + 0.685006i \(0.759800\pi\)
\(444\) 0.818166 2.38374i 0.0388284 0.113127i
\(445\) −33.9563 15.1183i −1.60969 0.716678i
\(446\) 7.63251 + 9.08699i 0.361410 + 0.430281i
\(447\) 12.7112 24.9471i 0.601219 1.17996i
\(448\) −0.846272 2.18531i −0.0399826 0.103246i
\(449\) −7.63846 2.93213i −0.360481 0.138376i 0.171385 0.985204i \(-0.445176\pi\)
−0.531866 + 0.846828i \(0.678509\pi\)
\(450\) −87.6449 16.9917i −4.13162 0.800996i
\(451\) 0.152375 + 1.16315i 0.00717504 + 0.0547705i
\(452\) −3.33000 23.5262i −0.156630 1.10658i
\(453\) −14.0895 + 11.4094i −0.661982 + 0.536062i
\(454\) −0.188030 0.654522i −0.00882467 0.0307182i
\(455\) 1.12356 + 3.66811i 0.0526732 + 0.171963i
\(456\) 7.40093 + 6.64407i 0.346580 + 0.311137i
\(457\) −16.4042 + 6.29697i −0.767354 + 0.294560i −0.710382 0.703816i \(-0.751478\pi\)
−0.0569721 + 0.998376i \(0.518145\pi\)
\(458\) 3.65619 26.1083i 0.170842 1.21996i
\(459\) −43.5188 48.3325i −2.03128 2.25597i
\(460\) 63.6816 + 14.6361i 2.96917 + 0.682411i
\(461\) −1.14735 4.28196i −0.0534373 0.199431i 0.934046 0.357152i \(-0.116252\pi\)
−0.987484 + 0.157721i \(0.949585\pi\)
\(462\) 4.18234 + 1.64818i 0.194580 + 0.0766804i
\(463\) 3.47242 3.47242i 0.161377 0.161377i −0.621799 0.783177i \(-0.713598\pi\)
0.783177 + 0.621799i \(0.213598\pi\)
\(464\) 17.0311 + 6.16090i 0.790650 + 0.286013i
\(465\) 14.1723 + 66.6752i 0.657223 + 3.09199i
\(466\) −18.6820 + 14.0923i −0.865426 + 0.652813i
\(467\) −5.07882 + 3.68998i −0.235020 + 0.170752i −0.699062 0.715061i \(-0.746399\pi\)
0.464042 + 0.885813i \(0.346399\pi\)
\(468\) −53.1569 16.1640i −2.45718 0.747183i
\(469\) 0.431365 + 1.32761i 0.0199186 + 0.0613032i
\(470\) 22.6939 0.407291i 1.04679 0.0187869i
\(471\) 52.0929 + 5.47518i 2.40031 + 0.252283i
\(472\) 8.89468 + 2.87555i 0.409411 + 0.132358i
\(473\) −3.99581 21.6367i −0.183728 0.994857i
\(474\) −20.1276 17.4793i −0.924493 0.802851i
\(475\) 3.15568 8.22082i 0.144792 0.377197i
\(476\) −2.46568 + 0.218164i −0.113014 + 0.00999952i
\(477\) −33.5977 7.14142i −1.53833 0.326983i
\(478\) −30.8274 + 5.45135i −1.41001 + 0.249339i
\(479\) −10.1845 + 3.90947i −0.465342 + 0.178628i −0.579731 0.814808i \(-0.696842\pi\)
0.114389 + 0.993436i \(0.463509\pi\)
\(480\) −9.51987 66.5493i −0.434520 3.03754i
\(481\) −1.38532 0.0961404i −0.0631653 0.00438363i
\(482\) 21.5701 + 0.742620i 0.982489 + 0.0338254i
\(483\) 2.23119 8.32690i 0.101523 0.378887i
\(484\) 15.0087 16.0853i 0.682215 0.731152i
\(485\) 16.7038 + 9.64393i 0.758480 + 0.437908i
\(486\) −41.4720 44.4295i −1.88121 2.01536i
\(487\) 0.616275 11.7592i 0.0279261 0.532862i −0.948469 0.316870i \(-0.897368\pi\)
0.976395 0.215992i \(-0.0692985\pi\)
\(488\) −0.332384 + 0.333367i −0.0150463 + 0.0150908i
\(489\) 11.3825 + 1.80281i 0.514735 + 0.0815260i
\(490\) −22.8431 27.1962i −1.03195 1.22860i
\(491\) −12.4865 + 13.8677i −0.563508 + 0.625839i −0.955806 0.293999i \(-0.905014\pi\)
0.392297 + 0.919838i \(0.371680\pi\)
\(492\) −1.32940 1.89460i −0.0599338 0.0854153i
\(493\) 11.2445 15.4767i 0.506427 0.697037i
\(494\) 2.48295 4.88533i 0.111713 0.219802i
\(495\) 76.4607 + 52.6221i 3.43665 + 2.36519i
\(496\) −19.6428 + 11.8553i −0.881989 + 0.532318i
\(497\) 0.177271 1.68662i 0.00795170 0.0756553i
\(498\) −7.41279 + 29.7935i −0.332175 + 1.33508i
\(499\) −5.30050 + 10.4028i −0.237283 + 0.465694i −0.978685 0.205367i \(-0.934161\pi\)
0.741402 + 0.671061i \(0.234161\pi\)
\(500\) −20.2785 + 11.2667i −0.906882 + 0.503860i
\(501\) 35.6140 43.9797i 1.59112 1.96487i
\(502\) −9.94804 + 1.22643i −0.444003 + 0.0547384i
\(503\) −25.8316 + 23.2589i −1.15177 + 1.03706i −0.152967 + 0.988231i \(0.548883\pi\)
−0.998807 + 0.0488307i \(0.984451\pi\)
\(504\) −6.34775 + 0.676648i −0.282751 + 0.0301403i
\(505\) 7.71407 28.7893i 0.343272 1.28111i
\(506\) −33.9099 25.0998i −1.50748 1.11582i
\(507\) −1.43977 + 42.5093i −0.0639423 + 1.88790i
\(508\) −2.02341 3.23105i −0.0897741 0.143355i
\(509\) 4.31780 6.64883i 0.191383 0.294704i −0.729933 0.683519i \(-0.760449\pi\)
0.921316 + 0.388815i \(0.127115\pi\)
\(510\) −70.3232 9.84801i −3.11396 0.436077i
\(511\) 0.138978 + 1.32229i 0.00614802 + 0.0584945i
\(512\) 20.1155 10.3618i 0.888988 0.457931i
\(513\) 13.8747 9.01037i 0.612585 0.397817i
\(514\) 9.33231 + 15.5143i 0.411631 + 0.684306i
\(515\) 21.9105 3.47028i 0.965492 0.152919i
\(516\) 26.7599 + 34.1818i 1.17804 + 1.50477i
\(517\) −13.5358 5.61685i −0.595303 0.247029i
\(518\) −0.150834 + 0.0520195i −0.00662728 + 0.00228560i
\(519\) 17.0220 + 12.3672i 0.747184 + 0.542861i
\(520\) −34.0683 + 14.5416i −1.49399 + 0.637693i
\(521\) −9.84394 30.2965i −0.431271 1.32732i −0.896860 0.442314i \(-0.854158\pi\)
0.465589 0.885001i \(-0.345842\pi\)
\(522\) 28.2781 40.4277i 1.23770 1.76947i
\(523\) −12.4367 + 27.9332i −0.543817 + 1.22143i 0.407496 + 0.913207i \(0.366402\pi\)
−0.951313 + 0.308226i \(0.900265\pi\)
\(524\) −10.4900 + 15.5851i −0.458257 + 0.680838i
\(525\) 3.56504 + 6.99678i 0.155591 + 0.305364i
\(526\) −0.846922 + 0.195966i −0.0369276 + 0.00854454i
\(527\) 6.27225 + 23.4084i 0.273224 + 1.01968i
\(528\) −11.5441 + 41.8423i −0.502392 + 1.82095i
\(529\) −28.9518 + 50.1460i −1.25878 + 2.18026i
\(530\) −20.2142 + 10.7609i −0.878050 + 0.467422i
\(531\) 13.8689 21.3562i 0.601859 0.926782i
\(532\) 0.0433041 0.628158i 0.00187747 0.0272341i
\(533\) −0.819221 + 0.977351i −0.0354844 + 0.0423338i
\(534\) −44.5022 16.1727i −1.92580 0.699860i
\(535\) 8.78183 0.460236i 0.379672 0.0198977i
\(536\) −12.3051 + 5.50037i −0.531500 + 0.237580i
\(537\) −5.74828 12.9108i −0.248057 0.557144i
\(538\) −1.80113 + 9.29043i −0.0776524 + 0.400539i
\(539\) 6.49891 + 21.9916i 0.279928 + 0.947245i
\(540\) −111.005 13.5188i −4.77689 0.581758i
\(541\) −4.69633 29.6514i −0.201911 1.27481i −0.855435 0.517909i \(-0.826710\pi\)
0.653525 0.756905i \(-0.273290\pi\)
\(542\) 9.14812 36.7681i 0.392945 1.57933i
\(543\) 25.8483 28.7075i 1.10926 1.23196i
\(544\) −4.61814 23.4502i −0.198001 1.00542i
\(545\) 40.0644 + 55.1440i 1.71617 + 2.36211i
\(546\) 1.75598 + 4.56062i 0.0751491 + 0.195177i
\(547\) 37.0001 + 12.0220i 1.58201 + 0.514026i 0.962573 0.271022i \(-0.0873618\pi\)
0.619435 + 0.785048i \(0.287362\pi\)
\(548\) −15.5672 + 4.77614i −0.665000 + 0.204027i
\(549\) 0.641186 + 1.11057i 0.0273652 + 0.0473978i
\(550\) 38.2538 3.67772i 1.63115 0.156818i
\(551\) 3.44092 + 3.44092i 0.146588 + 0.146588i
\(552\) 82.2318 + 12.8999i 3.50002 + 0.549055i
\(553\) −0.0883261 + 1.68536i −0.00375601 + 0.0716689i
\(554\) 0.819130 + 6.64426i 0.0348015 + 0.282287i
\(555\) −4.55202 + 0.478437i −0.193223 + 0.0203085i
\(556\) 4.37216 4.23047i 0.185421 0.179412i
\(557\) 33.1317 1.73636i 1.40383 0.0735719i 0.664690 0.747119i \(-0.268563\pi\)
0.739144 + 0.673547i \(0.235230\pi\)
\(558\) 17.2565 + 60.0690i 0.730526 + 2.54292i
\(559\) 14.3850 19.1104i 0.608420 0.808283i
\(560\) −2.95045 + 3.06734i −0.124679 + 0.129619i
\(561\) 39.0765 + 23.9805i 1.64981 + 1.01246i
\(562\) 40.0554 + 19.5120i 1.68964 + 0.823062i
\(563\) −24.7317 + 11.0113i −1.04232 + 0.464070i −0.855216 0.518271i \(-0.826576\pi\)
−0.187101 + 0.982341i \(0.559909\pi\)
\(564\) 28.8013 2.54835i 1.21276 0.107305i
\(565\) −36.1909 + 23.5026i −1.52256 + 0.988763i
\(566\) −1.81712 0.158077i −0.0763794 0.00664448i
\(567\) −1.24871 + 7.88402i −0.0524407 + 0.331098i
\(568\) 16.3750 0.0241658i 0.687081 0.00101397i
\(569\) −8.37596 39.4058i −0.351139 1.65198i −0.699512 0.714621i \(-0.746599\pi\)
0.348373 0.937356i \(-0.386734\pi\)
\(570\) 5.27254 17.2761i 0.220842 0.723616i
\(571\) −30.2022 −1.26392 −0.631960 0.775001i \(-0.717749\pi\)
−0.631960 + 0.775001i \(0.717749\pi\)
\(572\) 23.9158 + 0.187922i 0.999969 + 0.00785741i
\(573\) 14.2409 0.594921
\(574\) −0.0427712 + 0.140145i −0.00178523 + 0.00584953i
\(575\) −15.3223 72.0858i −0.638985 3.00619i
\(576\) −12.9933 60.2535i −0.541386 2.51056i
\(577\) −2.74424 + 17.3264i −0.114244 + 0.721309i 0.862365 + 0.506287i \(0.168982\pi\)
−0.976609 + 0.215022i \(0.931018\pi\)
\(578\) −1.19928 0.104329i −0.0498835 0.00433951i
\(579\) 52.1627 33.8749i 2.16781 1.40779i
\(580\) −2.89900 32.7644i −0.120374 1.36047i
\(581\) 1.77565 0.790568i 0.0736662 0.0327983i
\(582\) 22.0890 + 10.7601i 0.915617 + 0.446019i
\(583\) 14.7408 1.15064i 0.610501 0.0476545i
\(584\) −12.5533 + 2.68765i −0.519459 + 0.111216i
\(585\) 14.0957 + 99.9153i 0.582784 + 4.13099i
\(586\) −0.573877 1.99764i −0.0237066 0.0825216i
\(587\) 18.3863 0.963587i 0.758885 0.0397715i 0.331032 0.943620i \(-0.392603\pi\)
0.427853 + 0.903848i \(0.359270\pi\)
\(588\) −31.4611 32.5149i −1.29743 1.34089i
\(589\) −6.13069 + 0.644362i −0.252611 + 0.0265505i
\(590\) −2.07728 16.8496i −0.0855202 0.693685i
\(591\) −2.38261 + 45.4629i −0.0980075 + 1.87010i
\(592\) −0.653821 1.39495i −0.0268719 0.0573321i
\(593\) −1.78540 1.78540i −0.0733176 0.0733176i 0.669497 0.742815i \(-0.266510\pi\)
−0.742815 + 0.669497i \(0.766510\pi\)
\(594\) 62.2051 + 36.6540i 2.55230 + 1.50393i
\(595\) 2.24775 + 3.89321i 0.0921487 + 0.159606i
\(596\) −5.02008 16.3624i −0.205631 0.670228i
\(597\) −62.0718 20.1683i −2.54043 0.825435i
\(598\) −4.84046 45.6077i −0.197941 1.86504i
\(599\) 5.03450 + 6.92940i 0.205704 + 0.283128i 0.899387 0.437153i \(-0.144013\pi\)
−0.693683 + 0.720280i \(0.744013\pi\)
\(600\) −63.5288 + 41.3895i −2.59355 + 1.68972i
\(601\) 24.3369 27.0289i 0.992723 1.10253i −0.00200646 0.999998i \(-0.500639\pi\)
0.994730 0.102533i \(-0.0326947\pi\)
\(602\) 0.663553 2.66696i 0.0270444 0.108697i
\(603\) 5.74369 + 36.2642i 0.233901 + 1.47679i
\(604\) −1.33978 + 11.0011i −0.0545149 + 0.447628i
\(605\) −37.9836 12.3954i −1.54425 0.503943i
\(606\) 7.22625 37.2737i 0.293546 1.51414i
\(607\) −15.5829 34.9997i −0.632489 1.42059i −0.890739 0.454516i \(-0.849812\pi\)
0.258250 0.966078i \(-0.416854\pi\)
\(608\) 6.07538 0.227120i 0.246389 0.00921092i
\(609\) −4.33359 + 0.227114i −0.175606 + 0.00920312i
\(610\) 0.803541 + 0.292017i 0.0325344 + 0.0118234i
\(611\) −5.45677 14.9679i −0.220757 0.605537i
\(612\) −64.9526 4.47772i −2.62555 0.181001i
\(613\) −17.1368 + 26.3883i −0.692148 + 1.06581i 0.301520 + 0.953460i \(0.402506\pi\)
−0.993668 + 0.112355i \(0.964161\pi\)
\(614\) −13.5196 + 7.19702i −0.545606 + 0.290448i
\(615\) −2.10170 + 3.64025i −0.0847488 + 0.146789i
\(616\) 2.53789 1.05371i 0.102254 0.0424553i
\(617\) 1.91135 + 7.13326i 0.0769481 + 0.287174i 0.993668 0.112356i \(-0.0358398\pi\)
−0.916720 + 0.399531i \(0.869173\pi\)
\(618\) 27.5318 6.37048i 1.10749 0.256258i
\(619\) −15.1541 29.7416i −0.609095 1.19542i −0.965333 0.261021i \(-0.915941\pi\)
0.356238 0.934395i \(-0.384059\pi\)
\(620\) 34.5671 + 23.2663i 1.38825 + 0.934399i
\(621\) 56.3157 126.487i 2.25987 5.07575i
\(622\) 7.78772 11.1337i 0.312259 0.446420i
\(623\) 0.926322 + 2.85093i 0.0371123 + 0.114220i
\(624\) −41.9903 + 21.5271i −1.68096 + 0.861775i
\(625\) 0.941865 + 0.684305i 0.0376746 + 0.0273722i
\(626\) 2.64143 0.910972i 0.105573 0.0364098i
\(627\) −7.57979 + 8.86331i −0.302708 + 0.353966i
\(628\) 25.2117 19.7375i 1.00606 0.787614i
\(629\) −1.60723 + 0.254559i −0.0640843 + 0.0101500i
\(630\) 5.97607 + 9.93477i 0.238092 + 0.395811i
\(631\) 7.88946 5.12348i 0.314074 0.203962i −0.377969 0.925818i \(-0.623377\pi\)
0.692043 + 0.721856i \(0.256711\pi\)
\(632\) −16.2719 + 0.876855i −0.647261 + 0.0348794i
\(633\) −8.21483 78.1589i −0.326510 3.10654i
\(634\) 17.7522 + 2.48601i 0.705032 + 0.0987321i
\(635\) −3.77091 + 5.80670i −0.149644 + 0.230432i
\(636\) −24.7239 + 15.4830i −0.980365 + 0.613942i
\(637\) −12.8284 + 21.3755i −0.508280 + 0.846927i
\(638\) −6.74167 + 20.1388i −0.266905 + 0.797304i
\(639\) 11.5450 43.0867i 0.456715 1.70448i
\(640\) −32.4697 25.1886i −1.28348 0.995666i
\(641\) 2.78971 2.51187i 0.110187 0.0992127i −0.612196 0.790706i \(-0.709714\pi\)
0.722383 + 0.691493i \(0.243047\pi\)
\(642\) 11.1181 1.37069i 0.438798 0.0540967i
\(643\) −4.94676 + 6.10874i −0.195081 + 0.240905i −0.865295 0.501263i \(-0.832869\pi\)
0.670214 + 0.742168i \(0.266202\pi\)
\(644\) −2.55930 4.60641i −0.100851 0.181518i
\(645\) 35.7924 70.2466i 1.40933 2.76596i
\(646\) 1.55049 6.23172i 0.0610031 0.245184i
\(647\) 2.58981 24.6404i 0.101816 0.968712i −0.817696 0.575650i \(-0.804749\pi\)
0.919512 0.393062i \(-0.128584\pi\)
\(648\) −76.9740 3.92014i −3.02382 0.153998i
\(649\) −3.11994 + 10.5081i −0.122468 + 0.412477i
\(650\) 31.0755 + 27.9234i 1.21888 + 1.09524i
\(651\) 3.23123 4.44740i 0.126642 0.174307i
\(652\) 5.76665 4.04631i 0.225839 0.158466i
\(653\) 10.1711 11.2962i 0.398027 0.442054i −0.510501 0.859877i \(-0.670540\pi\)
0.908528 + 0.417823i \(0.137207\pi\)
\(654\) 55.8456 + 66.4878i 2.18374 + 2.59988i
\(655\) 33.6988 + 5.33737i 1.31672 + 0.208548i
\(656\) −1.38933 0.267223i −0.0542443 0.0104333i
\(657\) −1.83024 + 34.9230i −0.0714043 + 1.36247i
\(658\) −1.24905 1.33812i −0.0486931 0.0521655i
\(659\) −21.5620 12.4488i −0.839935 0.484937i 0.0173073 0.999850i \(-0.494491\pi\)
−0.857242 + 0.514914i \(0.827824\pi\)
\(660\) 77.7447 13.0375i 3.02621 0.507484i
\(661\) −0.656779 + 2.45113i −0.0255457 + 0.0953380i −0.977522 0.210835i \(-0.932382\pi\)
0.951976 + 0.306173i \(0.0990485\pi\)
\(662\) 19.0654 + 0.656388i 0.740997 + 0.0255112i
\(663\) 9.53598 + 48.9212i 0.370347 + 1.89994i
\(664\) 9.40769 + 16.2392i 0.365089 + 0.630203i
\(665\) −1.06757 + 0.409803i −0.0413987 + 0.0158915i
\(666\) −4.13251 + 0.730769i −0.160131 + 0.0283167i
\(667\) 39.8360 + 8.46741i 1.54246 + 0.327859i
\(668\) −3.04889 34.4585i −0.117965 1.33324i
\(669\) 9.83896 25.6314i 0.380396 0.990966i
\(670\) 18.4822 + 16.0504i 0.714031 + 0.620082i
\(671\) −0.400172 0.380236i −0.0154485 0.0146788i
\(672\) −3.47474 + 4.16178i −0.134041 + 0.160544i
\(673\) 45.2266 + 4.75350i 1.74336 + 0.183234i 0.922002 0.387185i \(-0.126553\pi\)
0.821354 + 0.570419i \(0.193219\pi\)
\(674\) 45.8224 0.822381i 1.76501 0.0316769i
\(675\) 38.9740 + 119.950i 1.50011 + 4.61687i
\(676\) 17.4367 + 19.2863i 0.670641 + 0.741782i
\(677\) −11.2250 + 8.15541i −0.431410 + 0.313438i −0.782213 0.623012i \(-0.785909\pi\)
0.350802 + 0.936450i \(0.385909\pi\)
\(678\) −43.8856 + 33.1040i −1.68542 + 1.27135i
\(679\) −0.323409 1.52152i −0.0124113 0.0583905i
\(680\) −35.0790 + 25.5656i −1.34522 + 0.980396i
\(681\) −1.11405 + 1.11405i −0.0426904 + 0.0426904i
\(682\) −14.4517 22.6921i −0.553386 0.868925i
\(683\) −1.21914 4.54990i −0.0466491 0.174097i 0.938671 0.344814i \(-0.112058\pi\)
−0.985320 + 0.170717i \(0.945391\pi\)
\(684\) 3.70960 16.1405i 0.141840 0.617147i
\(685\) 19.7881 + 21.9769i 0.756066 + 0.839696i
\(686\) −0.799414 + 5.70850i −0.0305218 + 0.217951i
\(687\) −56.9406 + 21.8574i −2.17242 + 0.833914i
\(688\) 26.2851 + 3.64140i 1.00211 + 0.138827i
\(689\) 11.7613 + 10.9560i 0.448070 + 0.417392i
\(690\) −41.7396 145.294i −1.58900 5.53123i
\(691\) −32.6723 + 26.4575i −1.24291 + 1.00649i −0.243582 + 0.969880i \(0.578323\pi\)
−0.999330 + 0.0366098i \(0.988344\pi\)
\(692\) 12.7346 1.80251i 0.484098 0.0685213i
\(693\) −0.972314 7.42215i −0.0369352 0.281944i
\(694\) 35.0721 + 6.79942i 1.33132 + 0.258103i
\(695\) −10.3151 3.95961i −0.391275 0.150196i
\(696\) −6.61579 41.3752i −0.250771 1.56832i
\(697\) −0.678445 + 1.33152i −0.0256979 + 0.0504350i
\(698\) −10.6577 12.6887i −0.403402 0.480276i
\(699\) 49.4584 + 22.0203i 1.87069 + 0.832884i
\(700\) 4.54020 + 1.55832i 0.171603 + 0.0588990i
\(701\) −15.0642 4.89467i −0.568969 0.184869i 0.0103840 0.999946i \(-0.496695\pi\)
−0.579353 + 0.815077i \(0.696695\pi\)
\(702\) 16.3972 + 76.7589i 0.618873 + 2.89708i
\(703\) 0.413928i 0.0156116i
\(704\) 12.7143 + 23.2883i 0.479189 + 0.877712i
\(705\) −26.2557 45.4762i −0.988847 1.71273i
\(706\) −3.97595 2.48173i −0.149637 0.0934011i
\(707\) −2.14169 + 1.09125i −0.0805466 + 0.0410406i
\(708\) −4.14746 21.2253i −0.155871 0.797697i
\(709\) −7.72946 + 9.54508i −0.290286 + 0.358473i −0.901337 0.433118i \(-0.857413\pi\)
0.611052 + 0.791591i \(0.290747\pi\)
\(710\) −12.5816 26.9467i −0.472179 1.01129i
\(711\) −9.22919 + 43.4199i −0.346122 + 1.62837i
\(712\) −26.4242 + 11.8116i −0.990290 + 0.442658i
\(713\) −40.0940 + 32.4675i −1.50153 + 1.21592i
\(714\) 3.20467 + 4.74608i 0.119932 + 0.177617i
\(715\) −18.0079 39.5268i −0.673457 1.47822i
\(716\) −8.01315 3.22836i −0.299466 0.120649i
\(717\) 45.5796 + 56.2861i 1.70220 + 2.10204i
\(718\) 31.1350 + 30.0371i 1.16195 + 1.12098i
\(719\) −25.9030 5.50585i −0.966018 0.205334i −0.302214 0.953240i \(-0.597726\pi\)
−0.663804 + 0.747907i \(0.731059\pi\)
\(720\) −89.2694 + 67.5452i −3.32688 + 2.51726i
\(721\) −1.39035 1.12588i −0.0517793 0.0419301i
\(722\) −23.2352 9.84928i −0.864725 0.366552i
\(723\) −22.6689 44.4902i −0.843064 1.65461i
\(724\) −0.847321 23.5984i −0.0314904 0.877028i
\(725\) −32.1277 + 18.5489i −1.19319 + 0.688890i
\(726\) −49.3760 12.3521i −1.83252 0.458430i
\(727\) −31.9744 −1.18587 −0.592933 0.805252i \(-0.702030\pi\)
−0.592933 + 0.805252i \(0.702030\pi\)
\(728\) 2.70996 + 1.25708i 0.100438 + 0.0465905i
\(729\) −18.1892 + 55.9804i −0.673672 + 2.07335i
\(730\) 14.0405 + 18.6134i 0.519664 + 0.688911i
\(731\) 11.4005 25.6060i 0.421663 0.947071i
\(732\) 1.04721 + 0.299169i 0.0387061 + 0.0110576i
\(733\) −16.9827 8.65312i −0.627271 0.319610i 0.111299 0.993787i \(-0.464499\pi\)
−0.738570 + 0.674176i \(0.764499\pi\)
\(734\) −19.4769 32.3789i −0.718906 1.19513i
\(735\) −29.4468 + 76.7114i −1.08616 + 2.82954i
\(736\) 41.6077 29.2868i 1.53368 1.07953i
\(737\) −6.79508 14.2697i −0.250300 0.525630i
\(738\) −1.68777 + 3.46478i −0.0621279 + 0.127540i
\(739\) −2.03550 2.51364i −0.0748771 0.0924656i 0.738331 0.674439i \(-0.235614\pi\)
−0.813208 + 0.581973i \(0.802281\pi\)
\(740\) −1.79634 + 2.14508i −0.0660347 + 0.0788545i
\(741\) −12.6704 + 0.449121i −0.465459 + 0.0164989i
\(742\) 1.73575 + 0.630796i 0.0637215 + 0.0231573i
\(743\) −1.55707 4.05631i −0.0571235 0.148812i 0.902049 0.431634i \(-0.142063\pi\)
−0.959172 + 0.282822i \(0.908729\pi\)
\(744\) 46.0074 + 26.4719i 1.68671 + 0.970508i
\(745\) −23.0994 + 20.7988i −0.846298 + 0.762010i
\(746\) 2.98822 2.78931i 0.109406 0.102124i
\(747\) 49.3817 13.2318i 1.80678 0.484125i
\(748\) 27.3595 6.07534i 1.00036 0.222136i
\(749\) −0.501481 0.501481i −0.0183237 0.0183237i
\(750\) 45.5284 + 28.4182i 1.66246 + 1.03768i
\(751\) −44.8943 + 9.54259i −1.63822 + 0.348214i −0.932749 0.360527i \(-0.882597\pi\)
−0.705469 + 0.708741i \(0.749264\pi\)
\(752\) 11.5692 13.3619i 0.421887 0.487258i
\(753\) 13.6303 + 18.7605i 0.496717 + 0.683672i
\(754\) −21.0818 + 9.41192i −0.767754 + 0.342762i
\(755\) 19.1420 6.21961i 0.696648 0.226355i
\(756\) 5.17999 + 7.38232i 0.188394 + 0.268492i
\(757\) −2.66674 + 25.3723i −0.0969242 + 0.922172i 0.832715 + 0.553702i \(0.186785\pi\)
−0.929639 + 0.368471i \(0.879881\pi\)
\(758\) −1.12861 16.0266i −0.0409931 0.582114i
\(759\) −12.8018 + 96.7613i −0.464678 + 3.51221i
\(760\) −5.02721 9.83056i −0.182356 0.356592i
\(761\) −28.3898 10.8978i −1.02913 0.395046i −0.215546 0.976494i \(-0.569153\pi\)
−0.813584 + 0.581447i \(0.802487\pi\)
\(762\) −4.27219 + 7.71618i −0.154765 + 0.279528i
\(763\) 1.14290 5.37692i 0.0413757 0.194658i
\(764\) 6.25602 6.05328i 0.226335 0.219000i
\(765\) 42.3743 + 110.389i 1.53205 + 3.99112i
\(766\) 22.2366 + 17.3556i 0.803442 + 0.627082i
\(767\) −10.7076 + 5.22941i −0.386629 + 0.188823i
\(768\) −43.5143 29.1022i −1.57019 1.05014i
\(769\) 29.8192 + 7.99002i 1.07531 + 0.288127i 0.752672 0.658396i \(-0.228765\pi\)
0.322635 + 0.946524i \(0.395431\pi\)
\(770\) −3.67898 3.37216i −0.132581 0.121524i
\(771\) 20.9430 36.2743i 0.754244 1.30639i
\(772\) 8.51613 37.0537i 0.306502 1.33359i
\(773\) 28.8633 + 1.51266i 1.03814 + 0.0544067i 0.563781 0.825924i \(-0.309346\pi\)
0.474360 + 0.880331i \(0.342680\pi\)
\(774\) 28.2117 66.5535i 1.01405 2.39222i
\(775\) 7.35169 46.4167i 0.264080 1.66734i
\(776\) 14.2774 4.66232i 0.512529 0.167367i
\(777\) 0.274317 + 0.246996i 0.00984105 + 0.00886092i
\(778\) −28.5851 + 0.513021i −1.02483 + 0.0183927i
\(779\) −0.307534 0.223437i −0.0110186 0.00800545i
\(780\) 67.6102 + 52.6588i 2.42083 + 1.88549i
\(781\) 0.490356 + 19.1952i 0.0175463 + 0.686857i
\(782\) −17.5225 50.8077i −0.626602 1.81688i
\(783\) −69.3160 7.28541i −2.47715 0.260359i
\(784\) −27.6418 0.910818i −0.987206 0.0325292i
\(785\) −51.8123 26.3997i −1.84926 0.942246i
\(786\) 43.2997 + 3.76677i 1.54445 + 0.134356i
\(787\) −37.7390 30.5604i −1.34525 1.08936i −0.987850 0.155408i \(-0.950331\pi\)
−0.357398 0.933952i \(-0.616336\pi\)
\(788\) 18.2780 + 20.9846i 0.651125 + 0.747547i
\(789\) 1.34572 + 1.49457i 0.0479089 + 0.0532082i
\(790\) 13.9068 + 26.1238i 0.494780 + 0.929443i
\(791\) 3.36155 + 0.900725i 0.119523 + 0.0320261i
\(792\) 70.2664 16.9316i 2.49681 0.601639i
\(793\) 0.0101582 0.600014i 0.000360727 0.0213071i
\(794\) −46.9289 1.61568i −1.66545 0.0573384i
\(795\) 44.4326 + 28.8549i 1.57586 + 1.02338i
\(796\) −35.8410 + 17.5245i −1.27035 + 0.621139i
\(797\) −54.7707 + 5.75663i −1.94008 + 0.203910i −0.993089 0.117361i \(-0.962557\pi\)
−0.946987 + 0.321271i \(0.895890\pi\)
\(798\) −1.31992 + 0.616281i −0.0467248 + 0.0218161i
\(799\) −10.1679 15.6571i −0.359713 0.553909i
\(800\) −10.3151 + 45.1862i −0.364692 + 1.59757i
\(801\) 12.3341 + 77.8745i 0.435804 + 2.75156i
\(802\) −2.70199 38.3690i −0.0954107 1.35486i
\(803\) −3.50483 14.6399i −0.123683 0.516632i
\(804\) 24.9222 + 18.7418i 0.878939 + 0.660973i
\(805\) −5.62531 + 7.74258i −0.198266 + 0.272890i
\(806\) 7.54092 28.2580i 0.265618 0.995346i
\(807\) 20.8223 6.76557i 0.732979 0.238159i
\(808\) −12.6692 19.4460i −0.445701 0.684107i
\(809\) 49.4310 + 22.0081i 1.73790 + 0.773763i 0.994479 + 0.104939i \(0.0334648\pi\)
0.743421 + 0.668824i \(0.233202\pi\)
\(810\) 52.4998 + 129.758i 1.84466 + 4.55922i
\(811\) 13.7710 7.01666i 0.483564 0.246388i −0.195174 0.980769i \(-0.562527\pi\)
0.678738 + 0.734380i \(0.262527\pi\)
\(812\) −1.80721 + 1.94182i −0.0634206 + 0.0681446i
\(813\) −84.6706 + 22.6874i −2.96953 + 0.795682i
\(814\) 1.61680 0.805810i 0.0566690 0.0282436i
\(815\) −11.0799 6.39700i −0.388113 0.224077i
\(816\) −42.2882 + 35.6260i −1.48038 + 1.24716i
\(817\) 5.97958 + 3.88318i 0.209199 + 0.135855i
\(818\) 25.1245 32.1905i 0.878458 1.12552i
\(819\) 5.22752 6.23656i 0.182664 0.217923i
\(820\) 0.624060 + 2.49252i 0.0217931 + 0.0870426i
\(821\) 0.403227 + 7.69402i 0.0140727 + 0.268523i 0.996599 + 0.0824008i \(0.0262588\pi\)
−0.982527 + 0.186122i \(0.940408\pi\)
\(822\) 27.1120 + 26.1560i 0.945639 + 0.912294i
\(823\) 48.8926 21.7684i 1.70429 0.758799i 0.705548 0.708662i \(-0.250701\pi\)
0.998742 0.0501372i \(-0.0159658\pi\)
\(824\) 9.38686 14.5013i 0.327007 0.505177i
\(825\) −50.3119 73.3047i −1.75164 2.55214i
\(826\) −0.897738 + 1.03376i −0.0312363 + 0.0359690i
\(827\) 33.7650 5.34785i 1.17412 0.185963i 0.461260 0.887265i \(-0.347398\pi\)
0.712864 + 0.701302i \(0.247398\pi\)
\(828\) −47.5335 130.199i −1.65190 4.52471i
\(829\) 33.8946 + 30.5188i 1.17721 + 1.05996i 0.997084 + 0.0763179i \(0.0243164\pi\)
0.180123 + 0.983644i \(0.442350\pi\)
\(830\) 19.5361 27.9297i 0.678109 0.969454i
\(831\) 12.5301 9.10364i 0.434664 0.315802i
\(832\) −9.29595 + 27.3054i −0.322279 + 0.946645i
\(833\) −9.02730 + 27.7832i −0.312777 + 0.962630i
\(834\) −13.4621 4.10852i −0.466153 0.142267i
\(835\) −54.4087 + 31.4129i −1.88289 + 1.08709i
\(836\) 0.437663 + 7.11555i 0.0151369 + 0.246096i
\(837\) 62.4324 62.4324i 2.15798 2.15798i
\(838\) −28.3505 + 6.55992i −0.979351 + 0.226609i
\(839\) −1.29241 0.0677321i −0.0446188 0.00233837i 0.0300135 0.999549i \(-0.490445\pi\)
−0.0746323 + 0.997211i \(0.523778\pi\)
\(840\) 9.51466 + 2.53440i 0.328287 + 0.0874452i
\(841\) 0.888386 + 8.45243i 0.0306340 + 0.291463i
\(842\) −6.63845 37.5405i −0.228776 1.29373i
\(843\) −5.39476 102.938i −0.185805 3.54538i
\(844\) −36.8313 30.8434i −1.26778 1.06167i
\(845\) 18.4045 43.4851i 0.633133 1.49593i
\(846\) −26.9428 39.9019i −0.926311 1.37186i
\(847\) 1.30684 + 2.94534i 0.0449035 + 0.101203i
\(848\) −4.27993 + 17.3109i −0.146973 + 0.594459i
\(849\) 1.71636 + 3.85502i 0.0589055 + 0.132304i
\(850\) 42.8300 + 23.7135i 1.46906 + 0.813367i
\(851\) −1.88676 2.90535i −0.0646772 0.0995941i
\(852\) −18.3992 33.1161i −0.630345 1.13454i
\(853\) 52.4092 + 8.30080i 1.79446 + 0.284214i 0.962630 0.270821i \(-0.0872952\pi\)
0.831827 + 0.555035i \(0.187295\pi\)
\(854\) −0.0258605 0.0639165i −0.000884928 0.00218718i
\(855\) −29.4202 + 6.25346i −1.00615 + 0.213864i
\(856\) 4.30157 5.32806i 0.147025 0.182109i
\(857\) 35.0921i 1.19872i −0.800479 0.599361i \(-0.795421\pi\)
0.800479 0.599361i \(-0.204579\pi\)
\(858\) −26.4203 48.6163i −0.901973 1.65973i
\(859\) 11.0084i 0.375603i −0.982207 0.187801i \(-0.939864\pi\)
0.982207 0.187801i \(-0.0601361\pi\)
\(860\) −14.1356 46.0734i −0.482021 1.57109i
\(861\) 0.331584 0.0704804i 0.0113004 0.00240197i
\(862\) 5.08522 2.05747i 0.173203 0.0700778i
\(863\) 13.6472 + 2.16151i 0.464557 + 0.0735786i 0.384325 0.923198i \(-0.374434\pi\)
0.0802315 + 0.996776i \(0.474434\pi\)
\(864\) −65.5776 + 57.2896i −2.23100 + 1.94903i
\(865\) −12.7219 19.5899i −0.432556 0.666078i
\(866\) −9.95300 + 17.9765i −0.338217 + 0.610868i
\(867\) 1.13278 + 2.54426i 0.0384712 + 0.0864078i
\(868\) −0.470949 3.32722i −0.0159851 0.112933i
\(869\) −1.48702 19.0502i −0.0504438 0.646234i
\(870\) −63.0666 + 42.5841i −2.13816 + 1.44374i
\(871\) 6.42805 15.9341i 0.217806 0.539905i
\(872\) 52.7945 + 5.47017i 1.78785 + 0.185243i
\(873\) −2.14126 40.8576i −0.0724706 1.38282i
\(874\) 13.4622 2.38057i 0.455364 0.0805240i
\(875\) −0.355160 3.37912i −0.0120066 0.114235i
\(876\) 19.5073 + 22.3961i 0.659092 + 0.756694i
\(877\) 38.7215 + 2.02931i 1.30753 + 0.0685249i 0.693328 0.720622i \(-0.256144\pi\)
0.614204 + 0.789147i \(0.289477\pi\)
\(878\) 4.75147 + 20.5348i 0.160354 + 0.693015i
\(879\) −3.40013 + 3.40013i −0.114684 + 0.114684i
\(880\) 28.6115 38.7738i 0.964494 1.30707i
\(881\) 37.7802 21.8124i 1.27285 0.734879i 0.297325 0.954776i \(-0.403906\pi\)
0.975523 + 0.219897i \(0.0705722\pi\)
\(882\) −21.9915 + 72.0576i −0.740491 + 2.42631i
\(883\) 3.77598 11.6213i 0.127072 0.391087i −0.867201 0.497958i \(-0.834083\pi\)
0.994273 + 0.106871i \(0.0340832\pi\)
\(884\) 24.9838 + 17.4377i 0.840296 + 0.586494i
\(885\) −31.7758 + 23.0865i −1.06813 + 0.776043i
\(886\) 23.4741 + 16.4195i 0.788626 + 0.551624i
\(887\) 2.72416 + 2.45284i 0.0914683 + 0.0823585i 0.713596 0.700557i \(-0.247065\pi\)
−0.622128 + 0.782915i \(0.713732\pi\)
\(888\) −2.09070 + 2.88656i −0.0701594 + 0.0968665i
\(889\) 0.551501 0.0873492i 0.0184968 0.00292960i
\(890\) 39.6891 + 34.4669i 1.33038 + 1.15533i
\(891\) 2.42359 90.3445i 0.0811933 3.02665i
\(892\) −6.57270 15.4420i −0.220070 0.517038i
\(893\) 4.33829 1.93153i 0.145175 0.0646363i
\(894\) −27.4919 + 28.4967i −0.919467 + 0.953073i
\(895\) 0.821132 + 15.6681i 0.0274474 + 0.523728i
\(896\) 0.242566 + 3.30525i 0.00810356 + 0.110421i
\(897\) −86.8861 + 60.9063i −2.90104 + 2.03360i
\(898\) 9.12154 + 7.11930i 0.304390 + 0.237574i
\(899\) 21.7807 + 14.1446i 0.726428 + 0.471748i
\(900\) 111.536 + 59.1641i 3.71787 + 1.97214i
\(901\) 16.3120 + 9.41776i 0.543433 + 0.313751i
\(902\) 0.274055 1.63620i 0.00912504 0.0544796i
\(903\) −6.14153 + 1.64562i −0.204377 + 0.0547628i
\(904\) −5.20765 + 33.1968i −0.173204 + 1.10411i
\(905\) −38.2112 + 19.4696i −1.27018 + 0.647191i
\(906\) 23.7677 9.61638i 0.789629 0.319483i
\(907\) 31.2664 + 13.9207i 1.03818 + 0.462229i 0.853787 0.520623i \(-0.174300\pi\)
0.184397 + 0.982852i \(0.440967\pi\)
\(908\) −0.0158606 + 0.962942i −0.000526351 + 0.0319564i
\(909\) −60.1282 + 19.5368i −1.99433 + 0.647996i
\(910\) −0.00551730 5.42538i −0.000182897 0.179850i
\(911\) −8.51844 + 11.7246i −0.282229 + 0.388454i −0.926470 0.376367i \(-0.877173\pi\)
0.644242 + 0.764822i \(0.277173\pi\)
\(912\) −7.26792 12.0421i −0.240665 0.398754i
\(913\) −18.7712 + 11.4865i −0.621236 + 0.380148i
\(914\) 24.7881 1.74561i 0.819917 0.0577395i
\(915\) −0.309422 1.95361i −0.0102292 0.0645845i
\(916\) −15.7232 + 33.8054i −0.519510 + 1.11696i
\(917\) −1.49862 2.30768i −0.0494889 0.0762062i
\(918\) 38.9123 + 83.3406i 1.28430 + 2.75065i
\(919\) 45.3392 4.76534i 1.49560 0.157194i 0.678891 0.734239i \(-0.262461\pi\)
0.816712 + 0.577045i \(0.195794\pi\)
\(920\) −80.0952 46.0855i −2.64066 1.51940i
\(921\) 29.7172 + 19.2986i 0.979215 + 0.635910i
\(922\) −0.215710 + 6.26551i −0.00710405 + 0.206344i
\(923\) −15.0080 + 14.5083i −0.493994 + 0.477546i
\(924\) −4.97674 3.95588i −0.163723 0.130139i
\(925\) 3.04809 + 0.816734i 0.100221 + 0.0268540i
\(926\) −6.13033 + 3.26342i −0.201455 + 0.107243i
\(927\) −31.4868 34.9696i −1.03416 1.14855i
\(928\) −20.4934 15.3640i −0.672729 0.504348i
\(929\) −9.27176 7.50812i −0.304197 0.246334i 0.465052 0.885284i \(-0.346036\pi\)
−0.769248 + 0.638950i \(0.779369\pi\)
\(930\) 8.35454 96.0369i 0.273956 3.14917i
\(931\) −6.62101 3.37357i −0.216995 0.110564i
\(932\) 31.0871 11.3494i 1.01829 0.371763i
\(933\) −31.2617 3.28574i −1.02346 0.107570i
\(934\) 8.39299 2.89456i 0.274627 0.0947128i
\(935\) −30.9594 40.4006i −1.01248 1.32124i
\(936\) 65.2286 + 43.8076i 2.13206 + 1.43190i
\(937\) −27.5208 19.9951i −0.899067 0.653210i 0.0391592 0.999233i \(-0.487532\pi\)
−0.938226 + 0.346023i \(0.887532\pi\)
\(938\) −0.0354245 1.97382i −0.00115665 0.0644476i
\(939\) −4.80387 4.32542i −0.156768 0.141155i
\(940\) −30.8644 8.81738i −1.00669 0.287591i
\(941\) −7.10775 + 44.8766i −0.231706 + 1.46293i 0.547836 + 0.836585i \(0.315452\pi\)
−0.779543 + 0.626349i \(0.784548\pi\)
\(942\) −68.2018 28.9104i −2.22214 0.941951i
\(943\) −3.17704 0.166501i −0.103459 0.00542203i
\(944\) −10.8441 7.56136i −0.352945 0.246101i
\(945\) 8.18927 14.1842i 0.266397 0.461413i
\(946\) −3.52704 + 30.9158i −0.114674 + 1.00516i
\(947\) 50.1137 + 13.4279i 1.62848 + 0.436349i 0.953476 0.301468i \(-0.0974767\pi\)
0.675000 + 0.737817i \(0.264143\pi\)
\(948\) 20.0094 + 31.9518i 0.649876 + 1.03775i
\(949\) 9.14408 13.5720i 0.296829 0.440566i
\(950\) −7.66208 + 9.81697i −0.248591 + 0.318504i
\(951\) −14.8619 38.7166i −0.481930 1.25547i
\(952\) 3.42519 + 0.722766i 0.111011 + 0.0234250i
\(953\) −4.75459 + 22.3686i −0.154016 + 0.724589i 0.831571 + 0.555419i \(0.187442\pi\)
−0.985587 + 0.169170i \(0.945891\pi\)
\(954\) 42.4970 + 23.5291i 1.37589 + 0.761784i
\(955\) −14.7597 5.66570i −0.477612 0.183338i
\(956\) 43.9483 + 5.35228i 1.42139 + 0.173105i
\(957\) 48.3160 8.92288i 1.56183 0.288436i
\(958\) 15.3897 1.08376i 0.497218 0.0350147i
\(959\) 0.249297 2.37190i 0.00805022 0.0765928i
\(960\) −14.5955 + 93.9459i −0.471067 + 3.03209i
\(961\) −1.80633 + 0.586911i −0.0582686 + 0.0189326i
\(962\) 1.83413 + 0.701918i 0.0591348 + 0.0226307i
\(963\) −10.9644 15.0912i −0.353322 0.486306i
\(964\) −28.8696 9.90884i −0.929827 0.319142i
\(965\) −67.5400 + 14.3561i −2.17419 + 0.462138i
\(966\) −6.45539 + 10.3421i −0.207699 + 0.332752i
\(967\) 9.85322 + 9.85322i 0.316858 + 0.316858i 0.847559 0.530701i \(-0.178071\pi\)
−0.530701 + 0.847559i \(0.678071\pi\)
\(968\) −26.9413 + 15.5616i −0.865927 + 0.500170i
\(969\) −14.3506 + 3.84522i −0.461007 + 0.123526i
\(970\) −18.6128 19.9401i −0.597621 0.640238i
\(971\) 0.483263 0.435132i 0.0155086 0.0139640i −0.661340 0.750086i \(-0.730012\pi\)
0.676848 + 0.736122i \(0.263345\pi\)
\(972\) 37.7550 + 77.2164i 1.21099 + 2.47672i
\(973\) 0.319331 + 0.831885i 0.0102373 + 0.0266690i
\(974\) −5.68793 + 15.6514i −0.182253 + 0.501503i
\(975\) 21.6931 94.1888i 0.694735 3.01645i
\(976\) 0.587207 0.313707i 0.0187960 0.0100415i
\(977\) 29.7447 + 36.7316i 0.951616 + 1.17515i 0.984446 + 0.175687i \(0.0562147\pi\)
−0.0328299 + 0.999461i \(0.510452\pi\)
\(978\) −14.6520 7.13735i −0.468520 0.228227i
\(979\) −14.5919 30.6429i −0.466358 0.979352i
\(980\) 19.6713 + 46.2161i 0.628375 + 1.47632i
\(981\) 51.8148 134.982i 1.65432 4.30965i
\(982\) 22.6143 13.6032i 0.721650 0.434094i
\(983\) 19.8930 + 10.1360i 0.634488 + 0.323288i 0.741483 0.670972i \(-0.234123\pi\)
−0.106995 + 0.994260i \(0.534123\pi\)
\(984\) 1.01606 + 3.11147i 0.0323907 + 0.0991901i
\(985\) 20.5567 46.1712i 0.654992 1.47114i
\(986\) −21.5985 + 16.2923i −0.687837 + 0.518853i
\(987\) −1.30865 + 4.02762i −0.0416549 + 0.128201i
\(988\) −5.37521 + 5.58303i −0.171008 + 0.177620i
\(989\) 59.6707 1.89742
\(990\) −81.6996 102.742i −2.59658 3.26534i
\(991\) 20.8227 12.0220i 0.661454 0.381891i −0.131376 0.991333i \(-0.541940\pi\)
0.792831 + 0.609442i \(0.208606\pi\)
\(992\) 31.4633 7.92694i 0.998962 0.251680i
\(993\) −20.0366 39.3240i −0.635842 1.24791i
\(994\) −0.936037 + 2.20818i −0.0296893 + 0.0700393i
\(995\) 56.3091 + 45.5982i 1.78512 + 1.44556i
\(996\) 22.3258 37.2393i 0.707420 1.17997i
\(997\) 25.7241 + 5.46783i 0.814691 + 0.173168i 0.596371 0.802709i \(-0.296609\pi\)
0.218320 + 0.975877i \(0.429942\pi\)
\(998\) 11.4640 11.8830i 0.362886 0.376149i
\(999\) 3.73101 + 4.60741i 0.118044 + 0.145772i
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 572.2.bs.a.15.10 1280
4.3 odd 2 inner 572.2.bs.a.15.38 yes 1280
11.3 even 5 inner 572.2.bs.a.223.26 yes 1280
13.7 odd 12 inner 572.2.bs.a.59.7 yes 1280
44.3 odd 10 inner 572.2.bs.a.223.7 yes 1280
52.7 even 12 inner 572.2.bs.a.59.26 yes 1280
143.124 odd 60 inner 572.2.bs.a.267.38 yes 1280
572.267 even 60 inner 572.2.bs.a.267.10 yes 1280
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
572.2.bs.a.15.10 1280 1.1 even 1 trivial
572.2.bs.a.15.38 yes 1280 4.3 odd 2 inner
572.2.bs.a.59.7 yes 1280 13.7 odd 12 inner
572.2.bs.a.59.26 yes 1280 52.7 even 12 inner
572.2.bs.a.223.7 yes 1280 44.3 odd 10 inner
572.2.bs.a.223.26 yes 1280 11.3 even 5 inner
572.2.bs.a.267.10 yes 1280 572.267 even 60 inner
572.2.bs.a.267.38 yes 1280 143.124 odd 60 inner