Properties

Label 572.2.bn.a.95.13
Level $572$
Weight $2$
Character 572.95
Analytic conductor $4.567$
Analytic rank $0$
Dimension $640$
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(95,572)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(572, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([15, 21, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("572.95");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 572.bn (of order \(30\), degree \(8\), 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: \(640\)
Relative dimension: \(80\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 95.13
Character \(\chi\) \(=\) 572.95
Dual form 572.2.bn.a.283.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.25254 + 0.656612i) q^{2} +(-1.23162 + 1.10895i) q^{3} +(1.13772 - 1.64487i) q^{4} +(0.467022 + 0.642801i) q^{5} +(0.814500 - 2.19770i) q^{6} +(3.46433 + 3.11929i) q^{7} +(-0.345007 + 2.80731i) q^{8} +(-0.0264818 + 0.251958i) q^{9} +O(q^{10})\) \(q+(-1.25254 + 0.656612i) q^{2} +(-1.23162 + 1.10895i) q^{3} +(1.13772 - 1.64487i) q^{4} +(0.467022 + 0.642801i) q^{5} +(0.814500 - 2.19770i) q^{6} +(3.46433 + 3.11929i) q^{7} +(-0.345007 + 2.80731i) q^{8} +(-0.0264818 + 0.251958i) q^{9} +(-1.00703 - 0.498483i) q^{10} +(1.80498 - 2.78245i) q^{11} +(0.422841 + 3.28753i) q^{12} +(2.62434 - 2.47242i) q^{13} +(-6.38738 - 1.63233i) q^{14} +(-1.28803 - 0.273779i) q^{15} +(-1.41117 - 3.74280i) q^{16} +(2.86786 - 6.44131i) q^{17} +(-0.132269 - 0.332976i) q^{18} +(1.32072 + 6.21351i) q^{19} +(1.58866 - 0.0368603i) q^{20} -7.72587 q^{21} +(-0.433830 + 4.67031i) q^{22} +(3.12267 + 1.80287i) q^{23} +(-2.68825 - 3.84012i) q^{24} +(1.35000 - 4.15488i) q^{25} +(-1.66368 + 4.81998i) q^{26} +(-3.16921 - 4.36204i) q^{27} +(9.07226 - 2.14946i) q^{28} +(-0.733459 + 3.45065i) q^{29} +(1.79307 - 0.502814i) q^{30} +(4.33166 + 3.14713i) q^{31} +(4.22512 + 3.76143i) q^{32} +(0.862556 + 5.42855i) q^{33} +(0.637329 + 9.95108i) q^{34} +(-0.387167 + 3.68365i) q^{35} +(0.384308 + 0.330217i) q^{36} +(-0.663412 + 3.12111i) q^{37} +(-5.73413 - 6.91548i) q^{38} +(-0.490385 + 5.95534i) q^{39} +(-1.96566 + 1.08930i) q^{40} +(-5.12144 - 5.68794i) q^{41} +(9.67697 - 5.07289i) q^{42} +(0.251423 + 0.435478i) q^{43} +(-2.52319 - 6.13462i) q^{44} +(-0.174326 + 0.100647i) q^{45} +(-5.09506 - 0.207795i) q^{46} +(-1.22687 + 3.77593i) q^{47} +(5.88862 + 3.04477i) q^{48} +(1.53986 + 14.6508i) q^{49} +(1.03721 + 6.09059i) q^{50} +(3.61101 + 11.1135i) q^{51} +(-1.08103 - 7.12961i) q^{52} +(-3.82494 - 2.77898i) q^{53} +(6.83373 + 3.38270i) q^{54} +(2.63153 - 0.139220i) q^{55} +(-9.95203 + 8.64925i) q^{56} +(-8.51711 - 6.18805i) q^{57} +(-1.34705 - 4.80368i) q^{58} +(-2.36178 + 2.62302i) q^{59} +(-1.91575 + 1.80715i) q^{60} +(-4.20071 + 9.43495i) q^{61} +(-7.49203 - 1.09770i) q^{62} +(-0.877672 + 0.790259i) q^{63} +(-7.76194 - 1.93708i) q^{64} +(2.81489 + 0.532253i) q^{65} +(-4.64484 - 6.23313i) q^{66} +(-1.03603 + 1.79445i) q^{67} +(-7.33227 - 12.0457i) q^{68} +(-5.84523 + 1.24244i) q^{69} +(-1.93378 - 4.86814i) q^{70} +(-3.65434 - 1.62702i) q^{71} +(-0.698186 - 0.161270i) q^{72} +(-1.37563 - 4.23375i) q^{73} +(-1.21840 - 4.34492i) q^{74} +(2.94488 + 6.61430i) q^{75} +(11.7230 + 4.89684i) q^{76} +(14.9323 - 4.00904i) q^{77} +(-3.29611 - 7.78130i) q^{78} +(0.0159630 + 0.0115978i) q^{79} +(1.74683 - 2.65508i) q^{80} +(7.99712 + 1.69984i) q^{81} +(10.1496 + 3.76158i) q^{82} +(-7.59491 - 10.4535i) q^{83} +(-8.78989 + 12.7080i) q^{84} +(5.47983 - 1.16477i) q^{85} +(-0.600858 - 0.380367i) q^{86} +(-2.92327 - 5.06325i) q^{87} +(7.18846 + 6.02711i) q^{88} +(11.5020 + 6.64068i) q^{89} +(0.152265 - 0.240530i) q^{90} +(16.8038 - 0.379179i) q^{91} +(6.51822 - 3.08521i) q^{92} +(-8.82496 + 0.927541i) q^{93} +(-0.942607 - 5.53508i) q^{94} +(-3.37724 + 3.75081i) q^{95} +(-9.37497 + 0.0528275i) q^{96} +(17.1519 + 1.80273i) q^{97} +(-11.5487 - 17.3397i) q^{98} +(0.653261 + 0.528464i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9} - 4 q^{12} - 20 q^{13} - 12 q^{14} - 19 q^{16} - 10 q^{17} - 45 q^{20} - 15 q^{22} - 15 q^{24} + 104 q^{25} - 20 q^{26} - 15 q^{28} - 10 q^{29} + 45 q^{30} - 24 q^{33} + 4 q^{36} - 18 q^{37} - 14 q^{38} - 20 q^{40} - 30 q^{41} - 13 q^{42} - 108 q^{45} - 15 q^{46} + 35 q^{48} - 74 q^{49} - 90 q^{50} + 15 q^{52} - 8 q^{53} + 50 q^{56} + 27 q^{58} - 10 q^{61} - 5 q^{62} - 84 q^{64} - 146 q^{66} - 70 q^{68} - 26 q^{69} - 15 q^{72} - 55 q^{74} + 44 q^{77} + 24 q^{78} - 39 q^{80} + 30 q^{81} - 29 q^{82} + 30 q^{84} - 30 q^{85} - 75 q^{88} - 24 q^{89} + 30 q^{90} + 14 q^{92} + 66 q^{93} - 5 q^{94} - 30 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(287\) \(353\) \(365\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.25254 + 0.656612i −0.885681 + 0.464294i
\(3\) −1.23162 + 1.10895i −0.711074 + 0.640254i −0.943121 0.332451i \(-0.892124\pi\)
0.232047 + 0.972705i \(0.425458\pi\)
\(4\) 1.13772 1.64487i 0.568861 0.822433i
\(5\) 0.467022 + 0.642801i 0.208859 + 0.287469i 0.900576 0.434700i \(-0.143145\pi\)
−0.691717 + 0.722169i \(0.743145\pi\)
\(6\) 0.814500 2.19770i 0.332518 0.897208i
\(7\) 3.46433 + 3.11929i 1.30939 + 1.17898i 0.971297 + 0.237870i \(0.0764491\pi\)
0.338095 + 0.941112i \(0.390218\pi\)
\(8\) −0.345007 + 2.80731i −0.121978 + 0.992533i
\(9\) −0.0264818 + 0.251958i −0.00882728 + 0.0839859i
\(10\) −1.00703 0.498483i −0.318452 0.157634i
\(11\) 1.80498 2.78245i 0.544223 0.838940i
\(12\) 0.422841 + 3.28753i 0.122064 + 0.949027i
\(13\) 2.62434 2.47242i 0.727861 0.685725i
\(14\) −6.38738 1.63233i −1.70710 0.436258i
\(15\) −1.28803 0.273779i −0.332567 0.0706893i
\(16\) −1.41117 3.74280i −0.352794 0.935701i
\(17\) 2.86786 6.44131i 0.695557 1.56225i −0.125942 0.992038i \(-0.540195\pi\)
0.821499 0.570209i \(-0.193138\pi\)
\(18\) −0.132269 0.332976i −0.0311761 0.0784832i
\(19\) 1.32072 + 6.21351i 0.302995 + 1.42548i 0.821405 + 0.570346i \(0.193191\pi\)
−0.518410 + 0.855132i \(0.673476\pi\)
\(20\) 1.58866 0.0368603i 0.355236 0.00824221i
\(21\) −7.72587 −1.68592
\(22\) −0.433830 + 4.67031i −0.0924929 + 0.995713i
\(23\) 3.12267 + 1.80287i 0.651122 + 0.375925i 0.788886 0.614540i \(-0.210658\pi\)
−0.137764 + 0.990465i \(0.543992\pi\)
\(24\) −2.68825 3.84012i −0.548737 0.783861i
\(25\) 1.35000 4.15488i 0.270000 0.830976i
\(26\) −1.66368 + 4.81998i −0.326274 + 0.945275i
\(27\) −3.16921 4.36204i −0.609915 0.839475i
\(28\) 9.07226 2.14946i 1.71450 0.406211i
\(29\) −0.733459 + 3.45065i −0.136200 + 0.640770i 0.856090 + 0.516828i \(0.172887\pi\)
−0.992289 + 0.123942i \(0.960446\pi\)
\(30\) 1.79307 0.502814i 0.327369 0.0918009i
\(31\) 4.33166 + 3.14713i 0.777989 + 0.565242i 0.904375 0.426739i \(-0.140338\pi\)
−0.126386 + 0.991981i \(0.540338\pi\)
\(32\) 4.22512 + 3.76143i 0.746903 + 0.664932i
\(33\) 0.862556 + 5.42855i 0.150152 + 0.944990i
\(34\) 0.637329 + 9.95108i 0.109301 + 1.70660i
\(35\) −0.387167 + 3.68365i −0.0654432 + 0.622650i
\(36\) 0.384308 + 0.330217i 0.0640513 + 0.0550362i
\(37\) −0.663412 + 3.12111i −0.109064 + 0.513107i 0.889371 + 0.457186i \(0.151143\pi\)
−0.998435 + 0.0559207i \(0.982191\pi\)
\(38\) −5.73413 6.91548i −0.930198 1.12184i
\(39\) −0.490385 + 5.95534i −0.0785245 + 0.953617i
\(40\) −1.96566 + 1.08930i −0.310799 + 0.172234i
\(41\) −5.12144 5.68794i −0.799835 0.888306i 0.195895 0.980625i \(-0.437239\pi\)
−0.995730 + 0.0923185i \(0.970572\pi\)
\(42\) 9.67697 5.07289i 1.49319 0.782764i
\(43\) 0.251423 + 0.435478i 0.0383417 + 0.0664098i 0.884559 0.466427i \(-0.154459\pi\)
−0.846218 + 0.532837i \(0.821126\pi\)
\(44\) −2.52319 6.13462i −0.380385 0.924828i
\(45\) −0.174326 + 0.100647i −0.0259870 + 0.0150036i
\(46\) −5.09506 0.207795i −0.751226 0.0306376i
\(47\) −1.22687 + 3.77593i −0.178958 + 0.550775i −0.999792 0.0203910i \(-0.993509\pi\)
0.820834 + 0.571166i \(0.193509\pi\)
\(48\) 5.88862 + 3.04477i 0.849949 + 0.439475i
\(49\) 1.53986 + 14.6508i 0.219981 + 2.09298i
\(50\) 1.03721 + 6.09059i 0.146683 + 0.861339i
\(51\) 3.61101 + 11.1135i 0.505642 + 1.55621i
\(52\) −1.08103 7.12961i −0.149912 0.988699i
\(53\) −3.82494 2.77898i −0.525395 0.381722i 0.293237 0.956040i \(-0.405267\pi\)
−0.818633 + 0.574318i \(0.805267\pi\)
\(54\) 6.83373 + 3.38270i 0.929953 + 0.460327i
\(55\) 2.63153 0.139220i 0.354835 0.0187724i
\(56\) −9.95203 + 8.64925i −1.32990 + 1.15580i
\(57\) −8.51711 6.18805i −1.12812 0.819627i
\(58\) −1.34705 4.80368i −0.176876 0.630755i
\(59\) −2.36178 + 2.62302i −0.307477 + 0.341488i −0.877003 0.480486i \(-0.840460\pi\)
0.569525 + 0.821974i \(0.307127\pi\)
\(60\) −1.91575 + 1.80715i −0.247322 + 0.233302i
\(61\) −4.20071 + 9.43495i −0.537846 + 1.20802i 0.416450 + 0.909158i \(0.363274\pi\)
−0.954296 + 0.298863i \(0.903393\pi\)
\(62\) −7.49203 1.09770i −0.951489 0.139408i
\(63\) −0.877672 + 0.790259i −0.110576 + 0.0995633i
\(64\) −7.76194 1.93708i −0.970243 0.242135i
\(65\) 2.81489 + 0.532253i 0.349145 + 0.0660179i
\(66\) −4.64484 6.23313i −0.571740 0.767245i
\(67\) −1.03603 + 1.79445i −0.126571 + 0.219227i −0.922346 0.386365i \(-0.873730\pi\)
0.795775 + 0.605592i \(0.207064\pi\)
\(68\) −7.33227 12.0457i −0.889169 1.46075i
\(69\) −5.84523 + 1.24244i −0.703683 + 0.149573i
\(70\) −1.93378 4.86814i −0.231131 0.581854i
\(71\) −3.65434 1.62702i −0.433690 0.193091i 0.178267 0.983982i \(-0.442951\pi\)
−0.611957 + 0.790891i \(0.709618\pi\)
\(72\) −0.698186 0.161270i −0.0822821 0.0190058i
\(73\) −1.37563 4.23375i −0.161005 0.495523i 0.837715 0.546108i \(-0.183891\pi\)
−0.998720 + 0.0505852i \(0.983891\pi\)
\(74\) −1.21840 4.34492i −0.141637 0.505087i
\(75\) 2.94488 + 6.61430i 0.340045 + 0.763754i
\(76\) 11.7230 + 4.89684i 1.34472 + 0.561706i
\(77\) 14.9323 4.00904i 1.70170 0.456872i
\(78\) −3.29611 7.78130i −0.373211 0.881059i
\(79\) 0.0159630 + 0.0115978i 0.00179597 + 0.00130485i 0.588683 0.808364i \(-0.299647\pi\)
−0.586887 + 0.809669i \(0.699647\pi\)
\(80\) 1.74683 2.65508i 0.195301 0.296846i
\(81\) 7.99712 + 1.69984i 0.888569 + 0.188871i
\(82\) 10.1496 + 3.76158i 1.12083 + 0.415397i
\(83\) −7.59491 10.4535i −0.833650 1.14742i −0.987233 0.159285i \(-0.949081\pi\)
0.153583 0.988136i \(-0.450919\pi\)
\(84\) −8.78989 + 12.7080i −0.959056 + 1.38656i
\(85\) 5.47983 1.16477i 0.594371 0.126337i
\(86\) −0.600858 0.380367i −0.0647922 0.0410160i
\(87\) −2.92327 5.06325i −0.313407 0.542837i
\(88\) 7.18846 + 6.02711i 0.766292 + 0.642492i
\(89\) 11.5020 + 6.64068i 1.21921 + 0.703911i 0.964749 0.263172i \(-0.0847687\pi\)
0.254461 + 0.967083i \(0.418102\pi\)
\(90\) 0.152265 0.240530i 0.0160501 0.0253540i
\(91\) 16.8038 0.379179i 1.76151 0.0397488i
\(92\) 6.51822 3.08521i 0.679571 0.321655i
\(93\) −8.82496 + 0.927541i −0.915106 + 0.0961815i
\(94\) −0.942607 5.53508i −0.0972225 0.570900i
\(95\) −3.37724 + 3.75081i −0.346498 + 0.384825i
\(96\) −9.37497 + 0.0528275i −0.956829 + 0.00539168i
\(97\) 17.1519 + 1.80273i 1.74151 + 0.183040i 0.921255 0.388960i \(-0.127166\pi\)
0.820254 + 0.572000i \(0.193832\pi\)
\(98\) −11.5487 17.3397i −1.16659 1.75157i
\(99\) 0.653261 + 0.528464i 0.0656552 + 0.0531127i
\(100\) −5.29830 6.94767i −0.529830 0.694767i
\(101\) −1.89568 4.25776i −0.188627 0.423663i 0.794333 0.607482i \(-0.207820\pi\)
−0.982960 + 0.183819i \(0.941154\pi\)
\(102\) −11.8202 11.5491i −1.17038 1.14354i
\(103\) −9.22947 + 2.99884i −0.909407 + 0.295484i −0.726114 0.687574i \(-0.758676\pi\)
−0.183293 + 0.983058i \(0.558676\pi\)
\(104\) 6.03542 + 8.22032i 0.591822 + 0.806069i
\(105\) −3.60815 4.96619i −0.352119 0.484651i
\(106\) 6.61560 + 0.969290i 0.642564 + 0.0941458i
\(107\) −3.34143 3.71103i −0.323028 0.358759i 0.559657 0.828725i \(-0.310933\pi\)
−0.882685 + 0.469965i \(0.844266\pi\)
\(108\) −10.7807 + 0.250134i −1.03737 + 0.0240691i
\(109\) −5.13498 −0.491842 −0.245921 0.969290i \(-0.579090\pi\)
−0.245921 + 0.969290i \(0.579090\pi\)
\(110\) −3.20469 + 1.90227i −0.305555 + 0.181374i
\(111\) −2.64409 4.57970i −0.250966 0.434686i
\(112\) 6.78613 17.3682i 0.641229 1.64114i
\(113\) 1.27443 0.270889i 0.119888 0.0254831i −0.147577 0.989051i \(-0.547147\pi\)
0.267465 + 0.963568i \(0.413814\pi\)
\(114\) 14.7312 + 2.15835i 1.37970 + 0.202148i
\(115\) 0.299467 + 2.84924i 0.0279254 + 0.265693i
\(116\) 4.84139 + 5.13233i 0.449512 + 0.476525i
\(117\) 0.553448 + 0.726697i 0.0511662 + 0.0671831i
\(118\) 1.23592 4.83622i 0.113776 0.445210i
\(119\) 30.0275 13.3691i 2.75262 1.22554i
\(120\) 1.21296 3.52143i 0.110727 0.321461i
\(121\) −4.48406 10.0446i −0.407642 0.913142i
\(122\) −0.933531 14.5759i −0.0845179 1.31964i
\(123\) 12.6153 + 1.32592i 1.13748 + 0.119554i
\(124\) 10.1048 3.54444i 0.907442 0.318300i
\(125\) 7.07953 2.30028i 0.633212 0.205743i
\(126\) 0.580427 1.56612i 0.0517086 0.139521i
\(127\) −0.0212329 0.202018i −0.00188412 0.0179262i 0.993539 0.113487i \(-0.0362021\pi\)
−0.995424 + 0.0955611i \(0.969535\pi\)
\(128\) 10.9941 2.67031i 0.971747 0.236024i
\(129\) −0.792582 0.257525i −0.0697829 0.0226739i
\(130\) −3.87526 + 1.18162i −0.339883 + 0.103635i
\(131\) −17.7611 −1.55179 −0.775897 0.630859i \(-0.782703\pi\)
−0.775897 + 0.630859i \(0.782703\pi\)
\(132\) 9.91060 + 4.75740i 0.862607 + 0.414078i
\(133\) −14.8063 + 25.6454i −1.28387 + 2.22373i
\(134\) 0.119410 2.92789i 0.0103154 0.252931i
\(135\) 1.32383 4.07434i 0.113937 0.350663i
\(136\) 17.0933 + 10.2732i 1.46574 + 0.880923i
\(137\) −2.64054 + 5.93074i −0.225596 + 0.506697i −0.990511 0.137434i \(-0.956114\pi\)
0.764915 + 0.644132i \(0.222781\pi\)
\(138\) 6.50560 5.39426i 0.553793 0.459190i
\(139\) 4.56133 5.06587i 0.386887 0.429681i −0.517969 0.855399i \(-0.673312\pi\)
0.904856 + 0.425718i \(0.139978\pi\)
\(140\) 5.61862 + 4.82781i 0.474860 + 0.408024i
\(141\) −2.67629 6.01104i −0.225384 0.506220i
\(142\) 5.64553 0.361574i 0.473762 0.0303427i
\(143\) −2.14249 11.7648i −0.179164 0.983819i
\(144\) 0.980399 0.256440i 0.0816999 0.0213700i
\(145\) −2.56062 + 1.14006i −0.212648 + 0.0946770i
\(146\) 4.50296 + 4.39970i 0.372668 + 0.364122i
\(147\) −18.1436 16.3366i −1.49646 1.34742i
\(148\) 4.37903 + 4.64218i 0.359954 + 0.381585i
\(149\) −7.92139 3.52683i −0.648945 0.288929i 0.0557439 0.998445i \(-0.482247\pi\)
−0.704689 + 0.709516i \(0.748914\pi\)
\(150\) −8.03161 6.35105i −0.655778 0.518561i
\(151\) −7.80537 2.53612i −0.635192 0.206386i −0.0263182 0.999654i \(-0.508378\pi\)
−0.608874 + 0.793267i \(0.708378\pi\)
\(152\) −17.8989 + 1.56397i −1.45179 + 0.126855i
\(153\) 1.54699 + 0.893156i 0.125067 + 0.0722074i
\(154\) −16.0710 + 14.8262i −1.29504 + 1.19473i
\(155\) 4.25417i 0.341703i
\(156\) 9.23781 + 7.58214i 0.739617 + 0.607057i
\(157\) 3.09563 9.52738i 0.247058 0.760368i −0.748233 0.663436i \(-0.769097\pi\)
0.995291 0.0969313i \(-0.0309027\pi\)
\(158\) −0.0276095 0.00404523i −0.00219650 0.000321821i
\(159\) 7.79261 0.819036i 0.617994 0.0649538i
\(160\) −0.444621 + 4.47258i −0.0351504 + 0.353589i
\(161\) 5.19425 + 15.9863i 0.409364 + 1.25989i
\(162\) −11.1329 + 3.12188i −0.874680 + 0.245278i
\(163\) 2.11058 20.0808i 0.165313 1.57285i −0.526119 0.850411i \(-0.676353\pi\)
0.691432 0.722441i \(-0.256980\pi\)
\(164\) −15.1827 + 1.95280i −1.18557 + 0.152488i
\(165\) −3.08664 + 3.08971i −0.240295 + 0.240533i
\(166\) 16.3768 + 8.10654i 1.27109 + 0.629189i
\(167\) 0.996969 + 2.23923i 0.0771478 + 0.173277i 0.948002 0.318265i \(-0.103100\pi\)
−0.870854 + 0.491542i \(0.836434\pi\)
\(168\) 2.66547 21.6889i 0.205646 1.67333i
\(169\) 0.774304 12.9769i 0.0595619 0.998225i
\(170\) −6.09891 + 5.05705i −0.467765 + 0.387858i
\(171\) −1.60052 + 0.168221i −0.122395 + 0.0128642i
\(172\) 1.00235 + 0.0818952i 0.0764288 + 0.00624445i
\(173\) −0.954366 4.48994i −0.0725591 0.341364i 0.926861 0.375404i \(-0.122496\pi\)
−0.999420 + 0.0340400i \(0.989163\pi\)
\(174\) 6.98611 + 4.42248i 0.529615 + 0.335267i
\(175\) 17.6371 10.1828i 1.33324 0.769747i
\(176\) −12.9613 2.82918i −0.976996 0.213258i
\(177\) 5.84966i 0.439687i
\(178\) −18.7671 0.765388i −1.40665 0.0573682i
\(179\) −7.05957 + 6.35646i −0.527657 + 0.475104i −0.889372 0.457184i \(-0.848858\pi\)
0.361715 + 0.932289i \(0.382191\pi\)
\(180\) −0.0327835 + 0.401252i −0.00244354 + 0.0299076i
\(181\) −15.4622 + 11.2340i −1.14930 + 0.835013i −0.988387 0.151956i \(-0.951443\pi\)
−0.160910 + 0.986969i \(0.551443\pi\)
\(182\) −20.7984 + 11.5085i −1.54168 + 0.853065i
\(183\) −5.28925 16.2786i −0.390992 1.20335i
\(184\) −6.13856 + 8.14429i −0.452541 + 0.600405i
\(185\) −2.31608 + 1.03118i −0.170281 + 0.0758142i
\(186\) 10.4446 6.95636i 0.765835 0.510065i
\(187\) −12.7462 19.6061i −0.932093 1.43374i
\(188\) 4.81505 + 6.31400i 0.351174 + 0.460496i
\(189\) 2.62731 24.9972i 0.191109 1.81828i
\(190\) 1.76731 6.91558i 0.128214 0.501709i
\(191\) 18.5011 + 16.6585i 1.33870 + 1.20537i 0.960051 + 0.279825i \(0.0902764\pi\)
0.378645 + 0.925542i \(0.376390\pi\)
\(192\) 11.7079 6.22189i 0.844942 0.449026i
\(193\) −1.53899 14.6425i −0.110779 1.05399i −0.898805 0.438348i \(-0.855564\pi\)
0.788027 0.615641i \(-0.211103\pi\)
\(194\) −22.6671 + 9.00411i −1.62740 + 0.646458i
\(195\) −4.05711 + 2.46605i −0.290536 + 0.176598i
\(196\) 25.8506 + 14.1357i 1.84647 + 1.00969i
\(197\) −1.57458 + 2.72726i −0.112184 + 0.194309i −0.916651 0.399689i \(-0.869118\pi\)
0.804466 + 0.593998i \(0.202451\pi\)
\(198\) −1.16523 0.232985i −0.0828095 0.0165575i
\(199\) −7.98430 + 4.60974i −0.565992 + 0.326776i −0.755547 0.655095i \(-0.772629\pi\)
0.189555 + 0.981870i \(0.439295\pi\)
\(200\) 11.1983 + 5.22333i 0.791836 + 0.369345i
\(201\) −0.713972 3.35898i −0.0503597 0.236924i
\(202\) 5.17011 + 4.08830i 0.363768 + 0.287652i
\(203\) −13.3045 + 9.66631i −0.933795 + 0.678442i
\(204\) 22.3886 + 6.70450i 1.56752 + 0.469409i
\(205\) 1.26438 5.94846i 0.0883084 0.415458i
\(206\) 9.59123 9.81634i 0.668252 0.683937i
\(207\) −0.536942 + 0.739038i −0.0373201 + 0.0513667i
\(208\) −12.9572 6.33337i −0.898418 0.439140i
\(209\) 19.6727 + 7.54045i 1.36079 + 0.521584i
\(210\) 7.78022 + 3.85121i 0.536886 + 0.265759i
\(211\) −7.92774 + 3.52966i −0.545768 + 0.242992i −0.661051 0.750341i \(-0.729889\pi\)
0.115283 + 0.993333i \(0.463223\pi\)
\(212\) −8.92277 + 3.12980i −0.612818 + 0.214956i
\(213\) 6.30502 2.04863i 0.432013 0.140370i
\(214\) 6.62199 + 2.45420i 0.452670 + 0.167766i
\(215\) −0.162505 + 0.364993i −0.0110828 + 0.0248923i
\(216\) 13.3390 7.39201i 0.907603 0.502962i
\(217\) 5.18944 + 24.4144i 0.352282 + 1.65736i
\(218\) 6.43178 3.37169i 0.435615 0.228360i
\(219\) 6.38928 + 3.68885i 0.431747 + 0.249269i
\(220\) 2.76495 4.48691i 0.186413 0.302507i
\(221\) −8.39938 23.9947i −0.565004 1.61406i
\(222\) 6.31892 + 4.00013i 0.424098 + 0.268471i
\(223\) 7.49545 + 8.32454i 0.501932 + 0.557452i 0.939861 0.341557i \(-0.110954\pi\)
−0.437929 + 0.899010i \(0.644288\pi\)
\(224\) 2.90422 + 26.2102i 0.194046 + 1.75124i
\(225\) 1.01110 + 0.450172i 0.0674069 + 0.0300115i
\(226\) −1.41841 + 1.17611i −0.0943512 + 0.0782334i
\(227\) −15.8110 14.2363i −1.04942 0.944898i −0.0508644 0.998706i \(-0.516198\pi\)
−0.998551 + 0.0538074i \(0.982864\pi\)
\(228\) −19.8686 + 6.96924i −1.31583 + 0.461549i
\(229\) 16.1248 22.1938i 1.06556 1.46661i 0.191059 0.981579i \(-0.438808\pi\)
0.874496 0.485032i \(-0.161192\pi\)
\(230\) −2.24594 3.37215i −0.148093 0.222353i
\(231\) −13.9451 + 21.4968i −0.917518 + 1.41439i
\(232\) −9.43399 3.24954i −0.619372 0.213343i
\(233\) −5.26820 + 7.25105i −0.345131 + 0.475032i −0.945931 0.324367i \(-0.894849\pi\)
0.600800 + 0.799399i \(0.294849\pi\)
\(234\) −1.17037 0.546818i −0.0765097 0.0357466i
\(235\) −3.00014 + 0.974806i −0.195708 + 0.0635893i
\(236\) 1.62747 + 6.86908i 0.105939 + 0.447139i
\(237\) −0.0325216 + 0.00341816i −0.00211251 + 0.000222034i
\(238\) −28.8324 + 36.4618i −1.86893 + 2.36347i
\(239\) 2.28954 + 0.743916i 0.148098 + 0.0481199i 0.382128 0.924109i \(-0.375191\pi\)
−0.234030 + 0.972229i \(0.575191\pi\)
\(240\) 0.792931 + 5.20718i 0.0511835 + 0.336122i
\(241\) 12.5643 + 21.7620i 0.809338 + 1.40182i 0.913323 + 0.407236i \(0.133507\pi\)
−0.103984 + 0.994579i \(0.533159\pi\)
\(242\) 12.2118 + 9.63695i 0.785007 + 0.619487i
\(243\) 2.27383 1.31280i 0.145866 0.0842160i
\(244\) 10.7400 + 17.6440i 0.687558 + 1.12954i
\(245\) −8.69841 + 7.83209i −0.555721 + 0.500374i
\(246\) −16.6718 + 6.62258i −1.06296 + 0.422240i
\(247\) 18.8284 + 13.0410i 1.19802 + 0.829778i
\(248\) −10.3294 + 11.0745i −0.655919 + 0.703232i
\(249\) 20.9464 + 4.45231i 1.32743 + 0.282153i
\(250\) −7.35701 + 7.52969i −0.465298 + 0.476220i
\(251\) −8.11648 0.853076i −0.512308 0.0538457i −0.155152 0.987891i \(-0.549587\pi\)
−0.357156 + 0.934045i \(0.616253\pi\)
\(252\) 0.301324 + 2.34275i 0.0189816 + 0.147579i
\(253\) 10.6528 5.43451i 0.669735 0.341665i
\(254\) 0.159242 + 0.239094i 0.00999176 + 0.0150021i
\(255\) −5.45737 + 7.51142i −0.341754 + 0.470384i
\(256\) −12.0172 + 10.5635i −0.751073 + 0.660219i
\(257\) −3.34522 0.711049i −0.208669 0.0443540i 0.102391 0.994744i \(-0.467351\pi\)
−0.311060 + 0.950390i \(0.600684\pi\)
\(258\) 1.16184 0.197857i 0.0723328 0.0123180i
\(259\) −12.0339 + 8.74316i −0.747752 + 0.543273i
\(260\) 4.07805 4.02457i 0.252910 0.249593i
\(261\) −0.849995 0.276180i −0.0526134 0.0170951i
\(262\) 22.2465 11.6621i 1.37440 0.720490i
\(263\) 9.16533 15.8748i 0.565159 0.978884i −0.431876 0.901933i \(-0.642148\pi\)
0.997035 0.0769507i \(-0.0245184\pi\)
\(264\) −15.5372 + 0.548572i −0.956249 + 0.0337623i
\(265\) 3.75652i 0.230761i
\(266\) 1.70654 41.8439i 0.104635 2.56561i
\(267\) −21.5303 + 4.57640i −1.31763 + 0.280071i
\(268\) 1.77292 + 3.74571i 0.108298 + 0.228806i
\(269\) 14.3263 + 6.37849i 0.873492 + 0.388904i 0.793990 0.607931i \(-0.208000\pi\)
0.0795021 + 0.996835i \(0.474667\pi\)
\(270\) 1.01710 + 5.97252i 0.0618988 + 0.363476i
\(271\) 4.61433 21.7087i 0.280301 1.31871i −0.582361 0.812930i \(-0.697871\pi\)
0.862662 0.505781i \(-0.168796\pi\)
\(272\) −28.1556 1.64401i −1.70718 0.0996828i
\(273\) −20.2753 + 19.1016i −1.22712 + 1.15608i
\(274\) −0.586811 9.16230i −0.0354505 0.553515i
\(275\) −9.12401 11.2558i −0.550199 0.678751i
\(276\) −4.60660 + 11.0282i −0.277285 + 0.663819i
\(277\) 20.2954 + 2.13313i 1.21943 + 0.128167i 0.692295 0.721615i \(-0.256600\pi\)
0.527135 + 0.849782i \(0.323266\pi\)
\(278\) −2.38695 + 9.34024i −0.143160 + 0.560190i
\(279\) −0.907655 + 1.00805i −0.0543399 + 0.0603506i
\(280\) −10.2076 2.35778i −0.610018 0.140904i
\(281\) −8.88677 + 6.45661i −0.530140 + 0.385169i −0.820410 0.571775i \(-0.806255\pi\)
0.290270 + 0.956945i \(0.406255\pi\)
\(282\) 7.29907 + 5.77179i 0.434654 + 0.343705i
\(283\) 7.45025 + 8.27434i 0.442871 + 0.491858i 0.922708 0.385499i \(-0.125971\pi\)
−0.479837 + 0.877358i \(0.659304\pi\)
\(284\) −6.83385 + 4.15981i −0.405514 + 0.246839i
\(285\) 8.36476i 0.495486i
\(286\) 10.4084 + 13.3291i 0.615464 + 0.788165i
\(287\) 35.6801i 2.10613i
\(288\) −1.05961 + 0.964944i −0.0624381 + 0.0568598i
\(289\) −21.8906 24.3120i −1.28769 1.43012i
\(290\) 2.45871 3.10931i 0.144380 0.182585i
\(291\) −23.1237 + 16.8003i −1.35553 + 0.984853i
\(292\) −8.52904 2.55411i −0.499125 0.149468i
\(293\) 5.80843 6.45091i 0.339332 0.376866i −0.549192 0.835696i \(-0.685065\pi\)
0.888524 + 0.458830i \(0.151731\pi\)
\(294\) 33.4524 + 8.54894i 1.95098 + 0.498584i
\(295\) −2.78908 0.293144i −0.162387 0.0170675i
\(296\) −8.53303 2.93920i −0.495972 0.170838i
\(297\) −17.8575 + 0.944746i −1.03620 + 0.0548197i
\(298\) 12.2376 0.783773i 0.708907 0.0454028i
\(299\) 12.6524 2.98919i 0.731707 0.172869i
\(300\) 14.2301 + 2.68131i 0.821576 + 0.154806i
\(301\) −0.487371 + 2.29290i −0.0280916 + 0.132161i
\(302\) 11.4418 1.94850i 0.658401 0.112124i
\(303\) 7.05640 + 3.14171i 0.405380 + 0.180487i
\(304\) 21.3922 13.7116i 1.22693 0.786412i
\(305\) −8.02661 + 1.70611i −0.459603 + 0.0976915i
\(306\) −2.52413 0.102943i −0.144295 0.00588485i
\(307\) 26.8381i 1.53173i 0.643002 + 0.765864i \(0.277689\pi\)
−0.643002 + 0.765864i \(0.722311\pi\)
\(308\) 10.3945 29.1229i 0.592283 1.65943i
\(309\) 8.04160 13.9285i 0.457471 0.792362i
\(310\) −2.79334 5.32853i −0.158651 0.302640i
\(311\) 7.70658 + 2.50402i 0.437000 + 0.141990i 0.519251 0.854622i \(-0.326211\pi\)
−0.0822509 + 0.996612i \(0.526211\pi\)
\(312\) −16.5493 3.43129i −0.936918 0.194259i
\(313\) −9.61363 + 6.98471i −0.543394 + 0.394799i −0.825344 0.564630i \(-0.809019\pi\)
0.281950 + 0.959429i \(0.409019\pi\)
\(314\) 2.37838 + 13.9661i 0.134220 + 0.788151i
\(315\) −0.917871 0.195099i −0.0517162 0.0109926i
\(316\) 0.0372382 0.0130619i 0.00209481 0.000734790i
\(317\) −6.73037 + 9.26356i −0.378015 + 0.520293i −0.955057 0.296421i \(-0.904207\pi\)
0.577042 + 0.816714i \(0.304207\pi\)
\(318\) −9.22278 + 6.14259i −0.517188 + 0.344460i
\(319\) 8.27739 + 8.26919i 0.463445 + 0.462986i
\(320\) −2.37984 5.89404i −0.133037 0.329487i
\(321\) 8.23072 + 0.865084i 0.459394 + 0.0482843i
\(322\) −17.0028 16.6129i −0.947528 0.925798i
\(323\) 43.8108 + 9.31227i 2.43770 + 0.518149i
\(324\) 11.8945 11.2202i 0.660806 0.623347i
\(325\) −6.72973 14.2416i −0.373298 0.789980i
\(326\) 10.5417 + 26.5379i 0.583852 + 1.46980i
\(327\) 6.32433 5.69445i 0.349736 0.314904i
\(328\) 17.7347 12.4151i 0.979236 0.685508i
\(329\) −16.0285 + 9.25406i −0.883680 + 0.510193i
\(330\) 1.83742 5.89671i 0.101146 0.324603i
\(331\) 2.03299 + 3.52124i 0.111743 + 0.193545i 0.916473 0.400096i \(-0.131023\pi\)
−0.804730 + 0.593641i \(0.797690\pi\)
\(332\) −25.8355 + 0.599437i −1.41791 + 0.0328984i
\(333\) −0.768819 0.249804i −0.0421310 0.0136892i
\(334\) −2.71905 2.15011i −0.148780 0.117649i
\(335\) −1.63732 + 0.172089i −0.0894563 + 0.00940224i
\(336\) 10.9025 + 28.9164i 0.594783 + 1.57752i
\(337\) 0.798223 0.259358i 0.0434820 0.0141281i −0.287195 0.957872i \(-0.592723\pi\)
0.330677 + 0.943744i \(0.392723\pi\)
\(338\) 7.55095 + 16.7626i 0.410717 + 0.911763i
\(339\) −1.26921 + 1.74691i −0.0689339 + 0.0948793i
\(340\) 4.31863 10.3388i 0.234210 0.560699i
\(341\) 16.5753 6.37209i 0.897604 0.345068i
\(342\) 1.89426 1.26162i 0.102430 0.0682208i
\(343\) −21.1851 + 29.1587i −1.14389 + 1.57442i
\(344\) −1.30926 + 0.555580i −0.0705908 + 0.0299549i
\(345\) −3.52849 3.17707i −0.189968 0.171048i
\(346\) 4.14353 + 4.99719i 0.222758 + 0.268651i
\(347\) −20.9062 9.30802i −1.12230 0.499681i −0.240192 0.970725i \(-0.577210\pi\)
−0.882109 + 0.471044i \(0.843877\pi\)
\(348\) −11.6542 0.952186i −0.624733 0.0510425i
\(349\) −8.86273 9.84306i −0.474411 0.526887i 0.457677 0.889118i \(-0.348682\pi\)
−0.932088 + 0.362232i \(0.882015\pi\)
\(350\) −15.4051 + 24.3351i −0.823437 + 1.30077i
\(351\) −19.1019 3.61187i −1.01958 0.192787i
\(352\) 18.0923 4.96688i 0.964321 0.264736i
\(353\) 8.07909 + 4.66447i 0.430007 + 0.248264i 0.699350 0.714780i \(-0.253473\pi\)
−0.269343 + 0.963044i \(0.586806\pi\)
\(354\) 3.84095 + 7.32694i 0.204144 + 0.389423i
\(355\) −0.660809 3.10886i −0.0350721 0.165001i
\(356\) 24.0091 11.3640i 1.27248 0.602291i
\(357\) −22.1567 + 49.7647i −1.17266 + 2.63383i
\(358\) 4.66868 12.5971i 0.246747 0.665779i
\(359\) 12.5527 4.07861i 0.662505 0.215261i 0.0415853 0.999135i \(-0.486759\pi\)
0.620920 + 0.783874i \(0.286759\pi\)
\(360\) −0.222404 0.524111i −0.0117217 0.0276231i
\(361\) −19.5061 + 8.68466i −1.02664 + 0.457087i
\(362\) 11.9907 24.2237i 0.630218 1.27317i
\(363\) 16.6616 + 7.39844i 0.874506 + 0.388317i
\(364\) 18.4943 28.0713i 0.969365 1.47134i
\(365\) 2.07901 2.86151i 0.108820 0.149778i
\(366\) 17.3137 + 16.9167i 0.905003 + 0.884249i
\(367\) 3.03898 14.2973i 0.158633 0.746312i −0.824856 0.565344i \(-0.808744\pi\)
0.983489 0.180968i \(-0.0579231\pi\)
\(368\) 2.34117 14.2317i 0.122042 0.741879i
\(369\) 1.56875 1.13976i 0.0816656 0.0593335i
\(370\) 2.22390 2.81237i 0.115615 0.146208i
\(371\) −4.58238 21.5584i −0.237905 1.11926i
\(372\) −8.51468 + 15.5712i −0.441466 + 0.807328i
\(373\) −9.67149 + 5.58383i −0.500771 + 0.289120i −0.729032 0.684480i \(-0.760029\pi\)
0.228261 + 0.973600i \(0.426696\pi\)
\(374\) 28.8387 + 16.1882i 1.49122 + 0.837072i
\(375\) −6.16836 + 10.6839i −0.318533 + 0.551715i
\(376\) −10.1769 4.74693i −0.524834 0.244804i
\(377\) 6.60661 + 10.8691i 0.340258 + 0.559787i
\(378\) 13.1226 + 33.0352i 0.674956 + 1.69915i
\(379\) −2.88311 27.4309i −0.148095 1.40903i −0.775995 0.630739i \(-0.782752\pi\)
0.627900 0.778294i \(-0.283915\pi\)
\(380\) 2.32722 + 9.82249i 0.119384 + 0.503883i
\(381\) 0.250179 + 0.225262i 0.0128171 + 0.0115405i
\(382\) −34.1116 8.71741i −1.74530 0.446022i
\(383\) −3.84101 + 36.5448i −0.196266 + 1.86735i 0.244394 + 0.969676i \(0.421411\pi\)
−0.440660 + 0.897674i \(0.645256\pi\)
\(384\) −10.5792 + 15.4807i −0.539869 + 0.789996i
\(385\) 9.55074 + 7.72620i 0.486751 + 0.393764i
\(386\) 11.5421 + 17.3298i 0.587476 + 0.882064i
\(387\) −0.116380 + 0.0518158i −0.00591594 + 0.00263395i
\(388\) 22.4793 26.1615i 1.14121 1.32815i
\(389\) 4.56314 + 14.0439i 0.231360 + 0.712054i 0.997583 + 0.0694794i \(0.0221338\pi\)
−0.766223 + 0.642575i \(0.777866\pi\)
\(390\) 3.46247 5.75278i 0.175329 0.291303i
\(391\) 20.5682 14.9437i 1.04018 0.755735i
\(392\) −41.6606 0.731762i −2.10418 0.0369596i
\(393\) 21.8749 19.6962i 1.10344 0.993543i
\(394\) 0.181482 4.44989i 0.00914294 0.224182i
\(395\) 0.0156774i 0.000788817i
\(396\) 1.61248 0.473281i 0.0810303 0.0237833i
\(397\) 28.4948 16.4515i 1.43011 0.825675i 0.432983 0.901402i \(-0.357461\pi\)
0.997129 + 0.0757268i \(0.0241277\pi\)
\(398\) 6.97386 11.0165i 0.349568 0.552206i
\(399\) −10.2037 48.0048i −0.510825 2.40324i
\(400\) −17.4560 + 0.810466i −0.872799 + 0.0405233i
\(401\) −29.5875 + 3.10978i −1.47753 + 0.155295i −0.808745 0.588160i \(-0.799853\pi\)
−0.668786 + 0.743455i \(0.733186\pi\)
\(402\) 3.09982 + 3.73846i 0.154605 + 0.186457i
\(403\) 19.1488 2.45052i 0.953868 0.122069i
\(404\) −9.16020 1.72601i −0.455737 0.0858724i
\(405\) 2.64217 + 5.93441i 0.131291 + 0.294883i
\(406\) 10.3175 20.8434i 0.512048 1.03444i
\(407\) 7.48688 + 7.47946i 0.371111 + 0.370743i
\(408\) −32.4449 + 6.30296i −1.60626 + 0.312043i
\(409\) 1.05914 10.0771i 0.0523712 0.498278i −0.936625 0.350335i \(-0.886068\pi\)
0.988996 0.147944i \(-0.0472655\pi\)
\(410\) 2.32213 + 8.28090i 0.114682 + 0.408964i
\(411\) −3.32478 10.2326i −0.163999 0.504738i
\(412\) −5.56789 + 18.5931i −0.274310 + 0.916016i
\(413\) −16.3639 + 1.71992i −0.805217 + 0.0846317i
\(414\) 0.187282 1.27824i 0.00920441 0.0628220i
\(415\) 3.17252 9.76403i 0.155733 0.479297i
\(416\) 20.3880 0.575016i 0.999603 0.0281925i
\(417\) 11.2975i 0.553241i
\(418\) −29.5920 + 3.47257i −1.44739 + 0.169849i
\(419\) 32.5476 + 18.7914i 1.59006 + 0.918019i 0.993296 + 0.115599i \(0.0368786\pi\)
0.596759 + 0.802420i \(0.296455\pi\)
\(420\) −12.2738 + 0.284777i −0.598900 + 0.0138957i
\(421\) 8.20199 + 2.66499i 0.399740 + 0.129884i 0.501986 0.864876i \(-0.332603\pi\)
−0.102246 + 0.994759i \(0.532603\pi\)
\(422\) 7.61221 9.62649i 0.370557 0.468610i
\(423\) −0.918884 0.409114i −0.0446777 0.0198918i
\(424\) 9.12107 9.77900i 0.442958 0.474910i
\(425\) −22.8912 20.6114i −1.11039 0.999798i
\(426\) −6.55215 + 6.70594i −0.317453 + 0.324904i
\(427\) −43.9830 + 19.5825i −2.12849 + 0.947663i
\(428\) −9.90578 + 1.27408i −0.478814 + 0.0615850i
\(429\) 15.6853 + 12.1138i 0.757293 + 0.584858i
\(430\) −0.0361138 0.563872i −0.00174156 0.0271923i
\(431\) −8.88548 19.9571i −0.427999 0.961301i −0.990878 0.134762i \(-0.956973\pi\)
0.562879 0.826539i \(-0.309694\pi\)
\(432\) −11.8540 + 18.0173i −0.570324 + 0.866859i
\(433\) 11.6492 12.9378i 0.559825 0.621749i −0.395085 0.918645i \(-0.629285\pi\)
0.954910 + 0.296896i \(0.0959514\pi\)
\(434\) −22.5308 27.1726i −1.08151 1.30433i
\(435\) 1.88943 4.24373i 0.0905912 0.203471i
\(436\) −5.84219 + 8.44636i −0.279790 + 0.404507i
\(437\) −7.07800 + 21.7838i −0.338587 + 1.04206i
\(438\) −10.4250 0.425167i −0.498125 0.0203153i
\(439\) −4.35796 + 7.54821i −0.207994 + 0.360256i −0.951083 0.308937i \(-0.900027\pi\)
0.743088 + 0.669193i \(0.233360\pi\)
\(440\) −0.517061 + 7.43554i −0.0246499 + 0.354475i
\(441\) −3.73217 −0.177722
\(442\) 26.2758 + 24.5393i 1.24981 + 1.16721i
\(443\) 10.9813 + 3.56805i 0.521739 + 0.169523i 0.558034 0.829818i \(-0.311556\pi\)
−0.0362952 + 0.999341i \(0.511556\pi\)
\(444\) −10.5412 0.861250i −0.500265 0.0408731i
\(445\) 1.10305 + 10.4948i 0.0522897 + 0.497503i
\(446\) −14.8544 5.50524i −0.703374 0.260681i
\(447\) 13.6672 4.44074i 0.646436 0.210040i
\(448\) −20.8476 30.9224i −0.984955 1.46095i
\(449\) 3.90218 + 0.410135i 0.184155 + 0.0193555i 0.196157 0.980572i \(-0.437154\pi\)
−0.0120019 + 0.999928i \(0.503820\pi\)
\(450\) −1.56204 + 0.100043i −0.0736352 + 0.00471605i
\(451\) −25.0705 + 3.98352i −1.18052 + 0.187576i
\(452\) 1.00437 2.40447i 0.0472417 0.113097i
\(453\) 12.4257 5.53226i 0.583808 0.259928i
\(454\) 29.1517 + 7.44988i 1.36816 + 0.349640i
\(455\) 8.09146 + 10.6244i 0.379333 + 0.498079i
\(456\) 20.3102 21.7752i 0.951112 1.01972i
\(457\) −2.51868 23.9637i −0.117819 1.12097i −0.880450 0.474139i \(-0.842759\pi\)
0.762631 0.646834i \(-0.223907\pi\)
\(458\) −5.62422 + 38.3864i −0.262803 + 1.79368i
\(459\) −37.1861 + 7.90415i −1.73570 + 0.368934i
\(460\) 5.02732 + 2.74906i 0.234400 + 0.128175i
\(461\) −2.55875 4.43188i −0.119173 0.206413i 0.800267 0.599643i \(-0.204691\pi\)
−0.919440 + 0.393230i \(0.871358\pi\)
\(462\) 3.35172 36.0822i 0.155936 1.67870i
\(463\) −25.5847 −1.18902 −0.594511 0.804088i \(-0.702654\pi\)
−0.594511 + 0.804088i \(0.702654\pi\)
\(464\) 13.9502 2.12428i 0.647620 0.0986172i
\(465\) −4.71768 5.23951i −0.218777 0.242976i
\(466\) 1.83751 12.5414i 0.0851212 0.580970i
\(467\) 16.8046 + 23.1296i 0.777626 + 1.07031i 0.995540 + 0.0943419i \(0.0300747\pi\)
−0.217914 + 0.975968i \(0.569925\pi\)
\(468\) 1.82499 0.0835684i 0.0843602 0.00386295i
\(469\) −9.18654 + 2.98489i −0.424195 + 0.137829i
\(470\) 3.11774 3.19091i 0.143810 0.147186i
\(471\) 6.75278 + 15.1670i 0.311152 + 0.698858i
\(472\) −6.54880 7.53520i −0.301433 0.346836i
\(473\) 1.66551 + 0.0864583i 0.0765803 + 0.00397536i
\(474\) 0.0384903 0.0256355i 0.00176792 0.00117748i
\(475\) 27.5994 + 2.90081i 1.26635 + 0.133098i
\(476\) 12.1726 64.6016i 0.557929 2.96101i
\(477\) 0.801477 0.890130i 0.0366971 0.0407563i
\(478\) −3.35620 + 0.571551i −0.153509 + 0.0261421i
\(479\) 28.5240 2.99799i 1.30330 0.136982i 0.572684 0.819776i \(-0.305902\pi\)
0.730611 + 0.682794i \(0.239235\pi\)
\(480\) −4.41228 6.00157i −0.201392 0.273933i
\(481\) 5.97566 + 9.83107i 0.272467 + 0.448258i
\(482\) −30.0265 19.0080i −1.36767 0.865790i
\(483\) −24.1253 13.9288i −1.09774 0.633781i
\(484\) −21.6236 4.05224i −0.982890 0.184193i
\(485\) 6.85150 + 11.8671i 0.311111 + 0.538859i
\(486\) −1.98607 + 3.13736i −0.0900901 + 0.142314i
\(487\) −25.2549 + 5.36810i −1.14441 + 0.243252i −0.740830 0.671693i \(-0.765567\pi\)
−0.403580 + 0.914945i \(0.632234\pi\)
\(488\) −25.0375 15.0478i −1.13340 0.681182i
\(489\) 19.6693 + 27.0724i 0.889475 + 1.22426i
\(490\) 5.75249 15.5215i 0.259871 0.701190i
\(491\) −35.8374 7.61747i −1.61732 0.343771i −0.691686 0.722198i \(-0.743132\pi\)
−0.925631 + 0.378427i \(0.876465\pi\)
\(492\) 16.5337 19.2420i 0.745396 0.867495i
\(493\) 20.1233 + 14.6204i 0.906306 + 0.658470i
\(494\) −32.1462 3.97142i −1.44633 0.178683i
\(495\) −0.0346101 + 0.666721i −0.00155561 + 0.0299669i
\(496\) 5.66638 20.6537i 0.254428 0.927379i
\(497\) −7.58467 17.0355i −0.340219 0.764145i
\(498\) −29.1597 + 8.17698i −1.30668 + 0.366419i
\(499\) 6.69847 + 20.6158i 0.299865 + 0.922888i 0.981544 + 0.191237i \(0.0612500\pi\)
−0.681679 + 0.731651i \(0.738750\pi\)
\(500\) 4.27089 14.2620i 0.191000 0.637814i
\(501\) −3.71108 1.65228i −0.165799 0.0738184i
\(502\) 10.7264 4.26086i 0.478741 0.190172i
\(503\) 28.0469 5.96156i 1.25055 0.265813i 0.465390 0.885105i \(-0.345914\pi\)
0.785160 + 0.619293i \(0.212581\pi\)
\(504\) −1.91570 2.73654i −0.0853319 0.121895i
\(505\) 1.85157 3.20701i 0.0823937 0.142710i
\(506\) −9.77469 + 13.8017i −0.434538 + 0.613560i
\(507\) 13.4371 + 16.8413i 0.596764 + 0.747946i
\(508\) −0.356450 0.194915i −0.0158149 0.00864795i
\(509\) 9.76441 8.79192i 0.432800 0.389695i −0.423733 0.905787i \(-0.639280\pi\)
0.856533 + 0.516092i \(0.172614\pi\)
\(510\) 1.90350 12.9917i 0.0842882 0.575284i
\(511\) 8.44068 18.9581i 0.373394 0.838656i
\(512\) 8.11589 21.1218i 0.358675 0.933462i
\(513\) 22.9180 25.4530i 1.01185 1.12378i
\(514\) 4.65692 1.30589i 0.205408 0.0576005i
\(515\) −6.23802 4.53219i −0.274880 0.199712i
\(516\) −1.32533 + 1.01070i −0.0583445 + 0.0444936i
\(517\) 8.29184 + 10.2292i 0.364675 + 0.449880i
\(518\) 9.33214 18.8528i 0.410030 0.828344i
\(519\) 6.15454 + 4.47154i 0.270154 + 0.196279i
\(520\) −2.46535 + 7.71864i −0.108113 + 0.338485i
\(521\) −5.83996 17.9736i −0.255853 0.787436i −0.993660 0.112424i \(-0.964139\pi\)
0.737807 0.675012i \(-0.235861\pi\)
\(522\) 1.24600 0.212189i 0.0545359 0.00928728i
\(523\) −2.02883 19.3030i −0.0887146 0.844063i −0.944892 0.327382i \(-0.893834\pi\)
0.856178 0.516682i \(-0.172833\pi\)
\(524\) −20.2072 + 29.2147i −0.882756 + 1.27625i
\(525\) −10.4299 + 32.1000i −0.455200 + 1.40096i
\(526\) −1.05637 + 25.9019i −0.0460600 + 1.12938i
\(527\) 32.6942 18.8760i 1.42418 0.822253i
\(528\) 19.1008 10.8890i 0.831256 0.473884i
\(529\) −4.99929 8.65902i −0.217360 0.376479i
\(530\) 2.46657 + 4.70519i 0.107141 + 0.204381i
\(531\) −0.598347 0.664531i −0.0259660 0.0288382i
\(532\) 25.3377 + 53.5318i 1.09853 + 2.32090i
\(533\) −27.5033 2.26473i −1.19130 0.0980964i
\(534\) 23.9626 19.8691i 1.03696 0.859822i
\(535\) 0.824934 3.88101i 0.0356650 0.167791i
\(536\) −4.68013 3.52754i −0.202151 0.152366i
\(537\) 1.64566 15.6575i 0.0710157 0.675669i
\(538\) −22.1325 + 1.41750i −0.954201 + 0.0611129i
\(539\) 43.5446 + 22.1599i 1.87560 + 0.954496i
\(540\) −5.19559 6.81300i −0.223583 0.293185i
\(541\) −13.6742 9.93487i −0.587899 0.427133i 0.253664 0.967292i \(-0.418364\pi\)
−0.841563 + 0.540159i \(0.818364\pi\)
\(542\) 8.47456 + 30.2209i 0.364013 + 1.29810i
\(543\) 6.58559 30.9828i 0.282615 1.32960i
\(544\) 36.3456 16.4281i 1.55830 0.704349i
\(545\) −2.39815 3.30077i −0.102725 0.141389i
\(546\) 12.8533 37.2385i 0.550072 1.59366i
\(547\) 1.07295 3.30221i 0.0458761 0.141192i −0.925495 0.378761i \(-0.876350\pi\)
0.971371 + 0.237568i \(0.0763504\pi\)
\(548\) 6.75108 + 11.0909i 0.288392 + 0.473778i
\(549\) −2.26597 1.30826i −0.0967091 0.0558350i
\(550\) 18.8189 + 8.10744i 0.802440 + 0.345702i
\(551\) −22.4094 −0.954671
\(552\) −1.47127 16.8380i −0.0626216 0.716673i
\(553\) 0.0191241 + 0.0899717i 0.000813238 + 0.00382598i
\(554\) −26.8214 + 10.6543i −1.13953 + 0.452659i
\(555\) 1.70899 3.83844i 0.0725424 0.162933i
\(556\) −3.14315 13.2663i −0.133299 0.562618i
\(557\) 45.5830 + 9.68897i 1.93141 + 0.410535i 0.998761 + 0.0497599i \(0.0158456\pi\)
0.932653 + 0.360775i \(0.117488\pi\)
\(558\) 0.474977 1.85861i 0.0201074 0.0786811i
\(559\) 1.73650 + 0.521218i 0.0734463 + 0.0220452i
\(560\) 14.3335 3.74918i 0.605702 0.158432i
\(561\) 37.4407 + 10.0123i 1.58075 + 0.422720i
\(562\) 6.89156 13.9223i 0.290703 0.587278i
\(563\) 3.30054 31.4025i 0.139101 1.32346i −0.672870 0.739760i \(-0.734939\pi\)
0.811971 0.583697i \(-0.198395\pi\)
\(564\) −12.9322 2.43676i −0.544545 0.102606i
\(565\) 0.769315 + 0.692694i 0.0323653 + 0.0291419i
\(566\) −14.7648 5.47204i −0.620610 0.230007i
\(567\) 22.4023 + 30.8342i 0.940809 + 1.29491i
\(568\) 5.82830 9.69751i 0.244550 0.406899i
\(569\) −14.8031 + 13.3287i −0.620577 + 0.558770i −0.918302 0.395882i \(-0.870439\pi\)
0.297724 + 0.954652i \(0.403772\pi\)
\(570\) 5.49240 + 10.4772i 0.230051 + 0.438842i
\(571\) −17.2381 −0.721394 −0.360697 0.932683i \(-0.617461\pi\)
−0.360697 + 0.932683i \(0.617461\pi\)
\(572\) −21.7890 9.86093i −0.911045 0.412306i
\(573\) −41.2598 −1.72365
\(574\) 23.4280 + 44.6909i 0.977865 + 1.86536i
\(575\) 11.7063 10.5404i 0.488188 0.439566i
\(576\) 0.693612 1.90438i 0.0289005 0.0793493i
\(577\) −27.1324 37.3446i −1.12954 1.55468i −0.788943 0.614466i \(-0.789371\pi\)
−0.340595 0.940210i \(-0.610629\pi\)
\(578\) 43.3825 + 16.0782i 1.80447 + 0.668764i
\(579\) 18.1333 + 16.3273i 0.753593 + 0.678538i
\(580\) −1.03803 + 5.50896i −0.0431017 + 0.228747i
\(581\) 6.29628 59.9051i 0.261214 2.48528i
\(582\) 17.9321 36.2264i 0.743308 1.50163i
\(583\) −14.6363 + 5.62668i −0.606175 + 0.233033i
\(584\) 12.3600 2.40114i 0.511462 0.0993599i
\(585\) −0.208649 + 0.695140i −0.00862657 + 0.0287405i
\(586\) −3.03956 + 11.8939i −0.125563 + 0.491333i
\(587\) −12.2645 2.60689i −0.506208 0.107598i −0.0522735 0.998633i \(-0.516647\pi\)
−0.453935 + 0.891035i \(0.649980\pi\)
\(588\) −47.5139 + 11.2573i −1.95944 + 0.464244i
\(589\) −13.8338 + 31.0713i −0.570013 + 1.28027i
\(590\) 3.68593 1.46417i 0.151747 0.0602789i
\(591\) −1.08512 5.10507i −0.0446357 0.209994i
\(592\) 12.6179 1.92141i 0.518592 0.0789693i
\(593\) 17.1107 0.702650 0.351325 0.936254i \(-0.385731\pi\)
0.351325 + 0.936254i \(0.385731\pi\)
\(594\) 21.7470 12.9088i 0.892290 0.529655i
\(595\) 22.6172 + 13.0580i 0.927214 + 0.535327i
\(596\) −14.8135 + 9.01708i −0.606785 + 0.369354i
\(597\) 4.72161 14.5316i 0.193243 0.594740i
\(598\) −13.8849 + 12.0518i −0.567797 + 0.492835i
\(599\) −20.5993 28.3525i −0.841665 1.15845i −0.985638 0.168871i \(-0.945988\pi\)
0.143973 0.989582i \(-0.454012\pi\)
\(600\) −19.5844 + 5.98520i −0.799529 + 0.244345i
\(601\) 1.03107 4.85079i 0.0420581 0.197868i −0.952102 0.305779i \(-0.901083\pi\)
0.994160 + 0.107912i \(0.0344163\pi\)
\(602\) −0.895093 3.19197i −0.0364813 0.130095i
\(603\) −0.424690 0.308555i −0.0172947 0.0125653i
\(604\) −13.0519 + 9.95339i −0.531075 + 0.404998i
\(605\) 4.36250 7.57339i 0.177361 0.307902i
\(606\) −10.9013 + 0.698188i −0.442836 + 0.0283620i
\(607\) −0.346638 + 3.29804i −0.0140696 + 0.133863i −0.999302 0.0373599i \(-0.988105\pi\)
0.985232 + 0.171223i \(0.0547719\pi\)
\(608\) −17.7915 + 31.2207i −0.721539 + 1.26617i
\(609\) 5.66660 26.6593i 0.229622 1.08029i
\(610\) 8.93342 7.40734i 0.361704 0.299914i
\(611\) 6.11594 + 12.9426i 0.247424 + 0.523604i
\(612\) 3.22917 1.52843i 0.130531 0.0617832i
\(613\) −7.11502 7.90203i −0.287373 0.319160i 0.582122 0.813101i \(-0.302222\pi\)
−0.869495 + 0.493941i \(0.835556\pi\)
\(614\) −17.6222 33.6158i −0.711173 1.35662i
\(615\) 5.03932 + 8.72836i 0.203205 + 0.351961i
\(616\) 6.10284 + 43.3028i 0.245891 + 1.74472i
\(617\) 0.993804 0.573773i 0.0400091 0.0230992i −0.479862 0.877344i \(-0.659313\pi\)
0.519871 + 0.854245i \(0.325980\pi\)
\(618\) −0.926854 + 22.7262i −0.0372835 + 0.914181i
\(619\) −10.6128 + 32.6629i −0.426566 + 1.31283i 0.474922 + 0.880028i \(0.342476\pi\)
−0.901487 + 0.432806i \(0.857524\pi\)
\(620\) 6.99755 + 4.84007i 0.281028 + 0.194382i
\(621\) −2.03218 19.3349i −0.0815486 0.775883i
\(622\) −11.2970 + 1.92384i −0.452968 + 0.0771390i
\(623\) 19.1324 + 58.8836i 0.766525 + 2.35912i
\(624\) 22.9817 6.56860i 0.920003 0.262955i
\(625\) −12.8868 9.36284i −0.515474 0.374514i
\(626\) 7.45523 15.0611i 0.297971 0.601961i
\(627\) −32.5912 + 12.5291i −1.30157 + 0.500365i
\(628\) −12.1493 15.9314i −0.484810 0.635733i
\(629\) 18.2015 + 13.2241i 0.725739 + 0.527281i
\(630\) 1.27778 0.358314i 0.0509078 0.0142756i
\(631\) 0.0105984 0.0117707i 0.000421915 0.000468584i −0.742934 0.669365i \(-0.766566\pi\)
0.743356 + 0.668896i \(0.233233\pi\)
\(632\) −0.0380659 + 0.0408117i −0.00151418 + 0.00162340i
\(633\) 5.84971 13.1387i 0.232505 0.522215i
\(634\) 2.34751 16.0222i 0.0932315 0.636324i
\(635\) 0.119941 0.107995i 0.00475971 0.00428566i
\(636\) 7.51862 13.7496i 0.298133 0.545209i
\(637\) 40.2641 + 34.6416i 1.59532 + 1.37255i
\(638\) −15.7974 4.92248i −0.625426 0.194883i
\(639\) 0.506713 0.877652i 0.0200452 0.0347194i
\(640\) 6.85094 + 5.81990i 0.270807 + 0.230052i
\(641\) 10.7698 2.28919i 0.425381 0.0904175i 0.00975353 0.999952i \(-0.496895\pi\)
0.415628 + 0.909535i \(0.363562\pi\)
\(642\) −10.8773 + 4.32083i −0.429295 + 0.170530i
\(643\) −9.00716 4.01025i −0.355208 0.158149i 0.221372 0.975189i \(-0.428946\pi\)
−0.576580 + 0.817041i \(0.695613\pi\)
\(644\) 32.2049 + 9.64408i 1.26905 + 0.380030i
\(645\) −0.204616 0.629742i −0.00805673 0.0247961i
\(646\) −60.9894 + 17.1027i −2.39960 + 0.672895i
\(647\) −5.46481 12.2742i −0.214844 0.482547i 0.773687 0.633568i \(-0.218410\pi\)
−0.988531 + 0.151021i \(0.951744\pi\)
\(648\) −7.53103 + 21.8639i −0.295847 + 0.858895i
\(649\) 3.03545 + 11.3060i 0.119152 + 0.443801i
\(650\) 17.7805 + 13.4194i 0.697407 + 0.526350i
\(651\) −33.4658 24.3143i −1.31163 0.952954i
\(652\) −30.6290 26.3180i −1.19953 1.03069i
\(653\) −27.2196 5.78571i −1.06519 0.226413i −0.358204 0.933643i \(-0.616611\pi\)
−0.706983 + 0.707231i \(0.749944\pi\)
\(654\) −4.18245 + 11.2852i −0.163547 + 0.441285i
\(655\) −8.29483 11.4168i −0.324106 0.446093i
\(656\) −14.0616 + 27.1952i −0.549013 + 1.06180i
\(657\) 1.10316 0.234483i 0.0430382 0.00914805i
\(658\) 14.0000 22.1156i 0.545779 0.862156i
\(659\) 12.6273 + 21.8712i 0.491892 + 0.851981i 0.999956 0.00933766i \(-0.00297231\pi\)
−0.508065 + 0.861319i \(0.669639\pi\)
\(660\) 1.57041 + 8.59235i 0.0611281 + 0.334457i
\(661\) 20.7714 + 11.9924i 0.807915 + 0.466450i 0.846231 0.532816i \(-0.178866\pi\)
−0.0383161 + 0.999266i \(0.512199\pi\)
\(662\) −4.85849 3.07562i −0.188831 0.119537i
\(663\) 36.9538 + 20.2378i 1.43517 + 0.785970i
\(664\) 31.9665 17.7147i 1.24054 0.687464i
\(665\) −23.3997 + 2.45941i −0.907403 + 0.0953719i
\(666\) 1.12700 0.191925i 0.0436705 0.00743694i
\(667\) −8.51144 + 9.45291i −0.329564 + 0.366018i
\(668\) 4.81751 + 0.907740i 0.186395 + 0.0351215i
\(669\) −18.4630 1.94054i −0.713822 0.0750257i
\(670\) 1.93782 1.29063i 0.0748644 0.0498615i
\(671\) 18.6701 + 28.7182i 0.720750 + 1.10865i
\(672\) −32.6427 29.0603i −1.25922 1.12102i
\(673\) −5.39865 12.1256i −0.208103 0.467406i 0.779095 0.626905i \(-0.215679\pi\)
−0.987198 + 0.159499i \(0.949012\pi\)
\(674\) −0.829510 + 0.848979i −0.0319515 + 0.0327015i
\(675\) −22.4022 + 7.27891i −0.862261 + 0.280166i
\(676\) −20.4644 16.0378i −0.787091 0.616837i
\(677\) 3.28260 + 4.51812i 0.126161 + 0.173645i 0.867425 0.497568i \(-0.165773\pi\)
−0.741264 + 0.671213i \(0.765773\pi\)
\(678\) 0.442692 3.02146i 0.0170015 0.116038i
\(679\) 53.7964 + 59.7469i 2.06452 + 2.29288i
\(680\) 1.37930 + 15.7854i 0.0528937 + 0.605343i
\(681\) 35.2605 1.35119
\(682\) −16.5773 + 18.8649i −0.634777 + 0.722373i
\(683\) 3.25484 + 5.63755i 0.124543 + 0.215715i 0.921554 0.388250i \(-0.126920\pi\)
−0.797011 + 0.603965i \(0.793587\pi\)
\(684\) −1.54424 + 2.82403i −0.0590456 + 0.107979i
\(685\) −5.04547 + 1.07245i −0.192777 + 0.0409761i
\(686\) 7.38921 50.4329i 0.282121 1.92554i
\(687\) 4.75238 + 45.2159i 0.181315 + 1.72509i
\(688\) 1.27511 1.55556i 0.0486130 0.0593053i
\(689\) −16.9087 + 2.16386i −0.644171 + 0.0824364i
\(690\) 6.50569 + 1.66256i 0.247667 + 0.0632927i
\(691\) −7.72793 + 3.44070i −0.293984 + 0.130890i −0.548429 0.836197i \(-0.684774\pi\)
0.254445 + 0.967087i \(0.418107\pi\)
\(692\) −8.47116 3.53850i −0.322025 0.134514i
\(693\) 0.614673 + 3.86848i 0.0233495 + 0.146952i
\(694\) 32.2976 2.06854i 1.22600 0.0785206i
\(695\) 5.38659 + 0.566153i 0.204325 + 0.0214754i
\(696\) 15.2226 6.45966i 0.577013 0.244853i
\(697\) −51.3253 + 16.6766i −1.94408 + 0.631671i
\(698\) 17.5640 + 6.50947i 0.664807 + 0.246387i
\(699\) −1.55267 14.7727i −0.0587275 0.558755i
\(700\) 3.31681 40.5959i 0.125363 1.53438i
\(701\) −26.5420 8.62402i −1.00248 0.325725i −0.238623 0.971112i \(-0.576696\pi\)
−0.763855 + 0.645387i \(0.776696\pi\)
\(702\) 26.2975 8.01849i 0.992534 0.302638i
\(703\) −20.2692 −0.764468
\(704\) −19.4000 + 18.1008i −0.731165 + 0.682200i
\(705\) 2.61401 4.52760i 0.0984494 0.170519i
\(706\) −13.1821 0.537614i −0.496117 0.0202334i
\(707\) 6.71396 20.6634i 0.252504 0.777129i
\(708\) −9.62191 6.65529i −0.361613 0.250121i
\(709\) −10.4099 + 23.3810i −0.390952 + 0.878093i 0.605650 + 0.795731i \(0.292913\pi\)
−0.996602 + 0.0823623i \(0.973754\pi\)
\(710\) 2.86901 + 3.46008i 0.107672 + 0.129855i
\(711\) −0.00334488 + 0.00371487i −0.000125443 + 0.000139318i
\(712\) −22.6107 + 29.9986i −0.847372 + 1.12424i
\(713\) 7.85245 + 17.6369i 0.294077 + 0.660507i
\(714\) −4.92392 76.8807i −0.184273 2.87719i
\(715\) 6.56181 6.87160i 0.245398 0.256983i
\(716\) 2.42371 + 18.8439i 0.0905782 + 0.704231i
\(717\) −3.64480 + 1.62277i −0.136117 + 0.0606034i
\(718\) −13.0447 + 13.3509i −0.486824 + 0.498250i
\(719\) 9.98152 + 8.98740i 0.372248 + 0.335174i 0.833928 0.551873i \(-0.186087\pi\)
−0.461680 + 0.887046i \(0.652753\pi\)
\(720\) 0.622708 + 0.510438i 0.0232070 + 0.0190229i
\(721\) −41.3281 18.4005i −1.53914 0.685269i
\(722\) 18.7297 23.6858i 0.697048 0.881495i
\(723\) −39.6075 12.8692i −1.47302 0.478612i
\(724\) 0.886653 + 38.2144i 0.0329522 + 1.42023i
\(725\) 13.3469 + 7.70582i 0.495690 + 0.286187i
\(726\) −25.7272 + 1.67333i −0.954827 + 0.0621031i
\(727\) 52.5080i 1.94741i −0.227802 0.973707i \(-0.573154\pi\)
0.227802 0.973707i \(-0.426846\pi\)
\(728\) −4.73293 + 47.3041i −0.175414 + 1.75321i
\(729\) −8.92402 + 27.4653i −0.330519 + 1.01723i
\(730\) −0.725145 + 4.94926i −0.0268388 + 0.183180i
\(731\) 3.52610 0.370608i 0.130417 0.0137074i
\(732\) −32.7939 9.82045i −1.21210 0.362974i
\(733\) −4.36482 13.4335i −0.161218 0.496178i 0.837520 0.546407i \(-0.184005\pi\)
−0.998738 + 0.0502289i \(0.984005\pi\)
\(734\) 5.58131 + 19.9034i 0.206010 + 0.734647i
\(735\) 2.02770 19.2923i 0.0747927 0.711605i
\(736\) 6.41229 + 19.3631i 0.236360 + 0.713732i
\(737\) 3.12295 + 6.12164i 0.115036 + 0.225494i
\(738\) −1.21654 + 2.45765i −0.0447814 + 0.0904675i
\(739\) −2.30678 5.18111i −0.0848562 0.190590i 0.866133 0.499813i \(-0.166598\pi\)
−0.950990 + 0.309223i \(0.899931\pi\)
\(740\) −0.938893 + 4.98284i −0.0345144 + 0.183173i
\(741\) −37.6512 + 4.81834i −1.38315 + 0.177006i
\(742\) 19.8951 + 23.9939i 0.730372 + 0.880845i
\(743\) −6.94491 + 0.729940i −0.254784 + 0.0267789i −0.231059 0.972940i \(-0.574219\pi\)
−0.0237247 + 0.999719i \(0.507553\pi\)
\(744\) 0.440778 25.0944i 0.0161597 0.920005i
\(745\) −1.43241 6.73898i −0.0524796 0.246897i
\(746\) 8.44753 13.3444i 0.309286 0.488573i
\(747\) 2.83497 1.63677i 0.103726 0.0598863i
\(748\) −46.7511 1.34056i −1.70939 0.0490156i
\(749\) 23.2791i 0.850601i
\(750\) 0.710949 17.4323i 0.0259602 0.636537i
\(751\) −7.15901 + 6.44600i −0.261236 + 0.235218i −0.789332 0.613967i \(-0.789573\pi\)
0.528096 + 0.849185i \(0.322906\pi\)
\(752\) 15.8639 0.736546i 0.578496 0.0268591i
\(753\) 10.9424 7.95013i 0.398764 0.289719i
\(754\) −15.4118 9.27602i −0.561266 0.337813i
\(755\) −2.01506 6.20172i −0.0733355 0.225704i
\(756\) −38.1280 32.7615i −1.38670 1.19152i
\(757\) −12.1718 + 5.41925i −0.442393 + 0.196966i −0.615830 0.787879i \(-0.711179\pi\)
0.173437 + 0.984845i \(0.444513\pi\)
\(758\) 21.6227 + 32.4653i 0.785371 + 1.17919i
\(759\) −7.09352 + 18.5067i −0.257479 + 0.671749i
\(760\) −9.36450 10.7750i −0.339686 0.390851i
\(761\) −3.04897 + 29.0090i −0.110525 + 1.05158i 0.788906 + 0.614513i \(0.210648\pi\)
−0.899431 + 0.437062i \(0.856019\pi\)
\(762\) −0.461270 0.117880i −0.0167100 0.00427034i
\(763\) −17.7893 16.0175i −0.644014 0.579873i
\(764\) 48.4502 11.4792i 1.75287 0.415302i
\(765\) 0.148358 + 1.41153i 0.00536389 + 0.0510340i
\(766\) −19.1847 48.2959i −0.693171 1.74500i
\(767\) 0.287096 + 12.7230i 0.0103664 + 0.459401i
\(768\) 3.08613 26.3367i 0.111361 0.950342i
\(769\) −21.9361 + 37.9945i −0.791038 + 1.37012i 0.134288 + 0.990942i \(0.457125\pi\)
−0.925325 + 0.379175i \(0.876208\pi\)
\(770\) −17.0358 3.40627i −0.613928 0.122753i
\(771\) 4.90855 2.83395i 0.176777 0.102062i
\(772\) −25.8359 14.1277i −0.929854 0.508465i
\(773\) −3.80939 17.9218i −0.137014 0.644602i −0.992030 0.126000i \(-0.959786\pi\)
0.855016 0.518602i \(-0.173547\pi\)
\(774\) 0.111748 0.141318i 0.00401671 0.00507958i
\(775\) 18.9237 13.7489i 0.679760 0.493874i
\(776\) −10.9783 + 47.5286i −0.394099 + 1.70618i
\(777\) 5.12543 24.1133i 0.183874 0.865059i
\(778\) −14.9369 14.5944i −0.535514 0.523233i
\(779\) 28.5781 39.3343i 1.02392 1.40930i
\(780\) −0.559541 + 9.47910i −0.0200348 + 0.339406i
\(781\) −11.1231 + 7.23127i −0.398016 + 0.258755i
\(782\) −15.9504 + 32.2230i −0.570384 + 1.15229i
\(783\) 17.3764 7.73646i 0.620981 0.276479i
\(784\) 52.6622 26.4383i 1.88079 0.944225i
\(785\) 7.56993 2.45962i 0.270183 0.0877876i
\(786\) −14.4664 + 39.0336i −0.516000 + 1.39228i
\(787\) −21.1227 + 47.4425i −0.752944 + 1.69114i −0.0306746 + 0.999529i \(0.509766\pi\)
−0.722270 + 0.691611i \(0.756901\pi\)
\(788\) 2.69454 + 5.69284i 0.0959888 + 0.202799i
\(789\) 6.31625 + 29.7156i 0.224864 + 1.05790i
\(790\) −0.0102940 0.0196366i −0.000366243 0.000698640i
\(791\) 5.26002 + 3.03688i 0.187025 + 0.107979i
\(792\) −1.70894 + 1.65158i −0.0607246 + 0.0586863i
\(793\) 12.3030 + 35.1464i 0.436894 + 1.24809i
\(794\) −24.8887 + 39.3161i −0.883266 + 1.39528i
\(795\) 4.16580 + 4.62659i 0.147746 + 0.164088i
\(796\) −1.50151 + 18.3777i −0.0532197 + 0.651381i
\(797\) 24.5815 + 10.9444i 0.870723 + 0.387671i 0.792940 0.609299i \(-0.208549\pi\)
0.0777829 + 0.996970i \(0.475216\pi\)
\(798\) 44.3011 + 53.4281i 1.56824 + 1.89133i
\(799\) 20.8034 + 18.7315i 0.735972 + 0.662672i
\(800\) 21.3322 12.4769i 0.754207 0.441127i
\(801\) −1.97777 + 2.72216i −0.0698809 + 0.0961828i
\(802\) 35.0177 23.3226i 1.23652 0.823551i
\(803\) −14.2632 3.81424i −0.503337 0.134602i
\(804\) −6.33737 2.64719i −0.223502 0.0933593i
\(805\) −7.85015 + 10.8048i −0.276681 + 0.380819i
\(806\) −22.3756 + 15.6427i −0.788147 + 0.550990i
\(807\) −24.7180 + 8.03136i −0.870115 + 0.282717i
\(808\) 12.6069 3.85279i 0.443508 0.135541i
\(809\) 33.6570 3.53749i 1.18332 0.124372i 0.507640 0.861569i \(-0.330518\pi\)
0.675677 + 0.737197i \(0.263851\pi\)
\(810\) −7.20604 5.69822i −0.253194 0.200215i
\(811\) 19.6977 + 6.40018i 0.691680 + 0.224741i 0.633702 0.773577i \(-0.281535\pi\)
0.0579784 + 0.998318i \(0.481535\pi\)
\(812\) 0.762925 + 32.8818i 0.0267734 + 1.15392i
\(813\) 18.3909 + 31.8539i 0.644996 + 1.11717i
\(814\) −14.2887 4.45237i −0.500820 0.156056i
\(815\) 13.8937 8.02151i 0.486674 0.280981i
\(816\) 36.5000 29.1984i 1.27776 1.02215i
\(817\) −2.37379 + 2.13737i −0.0830484 + 0.0747771i
\(818\) 5.29009 + 13.3174i 0.184964 + 0.465631i
\(819\) −0.349457 + 4.24388i −0.0122110 + 0.148293i
\(820\) −8.34590 8.84744i −0.291452 0.308966i
\(821\) 4.85149 + 1.03122i 0.169318 + 0.0359897i 0.291791 0.956482i \(-0.405749\pi\)
−0.122472 + 0.992472i \(0.539082\pi\)
\(822\) 10.8833 + 10.6337i 0.379598 + 0.370893i
\(823\) −35.7665 3.75921i −1.24674 0.131038i −0.541925 0.840427i \(-0.682305\pi\)
−0.704818 + 0.709389i \(0.748971\pi\)
\(824\) −5.23442 26.9446i −0.182350 0.938658i
\(825\) 23.7194 + 3.74474i 0.825805 + 0.130375i
\(826\) 19.3672 12.8990i 0.673871 0.448815i
\(827\) 4.94510 6.80635i 0.171958 0.236680i −0.714336 0.699803i \(-0.753271\pi\)
0.886294 + 0.463123i \(0.153271\pi\)
\(828\) 0.604727 + 1.72402i 0.0210157 + 0.0599138i
\(829\) 2.30319 + 0.489558i 0.0799931 + 0.0170031i 0.247734 0.968828i \(-0.420314\pi\)
−0.167741 + 0.985831i \(0.553647\pi\)
\(830\) 2.43745 + 14.3130i 0.0846052 + 0.496810i
\(831\) −27.3616 + 19.8794i −0.949164 + 0.689608i
\(832\) −25.1592 + 14.1072i −0.872239 + 0.489079i
\(833\) 98.7867 + 32.0977i 3.42275 + 1.11212i
\(834\) −7.41807 14.1506i −0.256867 0.489995i
\(835\) −0.973772 + 1.68662i −0.0336988 + 0.0583680i
\(836\) 34.7851 23.7800i 1.20307 0.822448i
\(837\) 28.8688i 0.997852i
\(838\) −53.1059 2.16585i −1.83451 0.0748179i
\(839\) −15.4043 + 3.27428i −0.531814 + 0.113041i −0.465989 0.884791i \(-0.654301\pi\)
−0.0658254 + 0.997831i \(0.520968\pi\)
\(840\) 15.1865 8.41581i 0.523983 0.290373i
\(841\) 15.1238 + 6.73354i 0.521510 + 0.232191i
\(842\) −12.0232 + 2.04751i −0.414347 + 0.0705619i
\(843\) 3.78501 17.8071i 0.130363 0.613308i
\(844\) −3.21375 + 17.0558i −0.110622 + 0.587087i
\(845\) 8.70319 5.56278i 0.299399 0.191366i
\(846\) 1.41957 0.0909180i 0.0488058 0.00312583i
\(847\) 15.7977 48.7847i 0.542815 1.67626i
\(848\) −5.00352 + 18.2376i −0.171822 + 0.626282i
\(849\) −18.3517 1.92884i −0.629828 0.0661976i
\(850\) 42.2059 + 10.7860i 1.44765 + 0.369955i
\(851\) −7.69858 + 8.55014i −0.263904 + 0.293095i
\(852\) 3.80365 12.7017i 0.130311 0.435153i
\(853\) 42.4707 30.8568i 1.45417 1.05652i 0.469335 0.883020i \(-0.344494\pi\)
0.984835 0.173496i \(-0.0555065\pi\)
\(854\) 42.2324 53.4076i 1.44516 1.82757i
\(855\) −0.855610 0.950251i −0.0292612 0.0324979i
\(856\) 11.5708 8.10009i 0.395483 0.276855i
\(857\) 18.6298i 0.636383i −0.948026 0.318192i \(-0.896924\pi\)
0.948026 0.318192i \(-0.103076\pi\)
\(858\) −27.6005 4.87386i −0.942266 0.166391i
\(859\) 8.18405i 0.279236i 0.990205 + 0.139618i \(0.0445875\pi\)
−0.990205 + 0.139618i \(0.955413\pi\)
\(860\) 0.415479 + 0.682560i 0.0141677 + 0.0232751i
\(861\) 39.5676 + 43.9442i 1.34846 + 1.49762i
\(862\) 24.2335 + 19.1628i 0.825397 + 0.652688i
\(863\) 27.8062 20.2024i 0.946533 0.687697i −0.00345109 0.999994i \(-0.501099\pi\)
0.949984 + 0.312297i \(0.101099\pi\)
\(864\) 3.01720 30.3509i 0.102647 1.03256i
\(865\) 2.44043 2.71037i 0.0829770 0.0921553i
\(866\) −6.09604 + 23.8541i −0.207152 + 0.810595i
\(867\) 53.9218 + 5.66741i 1.83128 + 0.192475i
\(868\) 46.0626 + 19.2409i 1.56347 + 0.653078i
\(869\) 0.0610832 0.0234824i 0.00207210 0.000796585i
\(870\) 0.419891 + 6.55607i 0.0142356 + 0.222272i
\(871\) 1.71775 + 7.27073i 0.0582036 + 0.246359i
\(872\) 1.77160 14.4155i 0.0599941 0.488170i
\(873\) −0.908426 + 4.27381i −0.0307456 + 0.144646i
\(874\) −5.43803 31.9327i −0.183944 1.08014i
\(875\) 31.7010 + 14.1142i 1.07169 + 0.477147i
\(876\) 13.3369 6.31262i 0.450612 0.213284i
\(877\) 31.2671 6.64603i 1.05582 0.224421i 0.352876 0.935670i \(-0.385204\pi\)
0.702940 + 0.711250i \(0.251870\pi\)
\(878\) 0.502287 12.3159i 0.0169514 0.415643i
\(879\) 14.3863i 0.485239i
\(880\) −4.23462 9.65283i −0.142749 0.325397i
\(881\) 8.22707 14.2497i 0.277177 0.480085i −0.693505 0.720452i \(-0.743934\pi\)
0.970682 + 0.240367i \(0.0772678\pi\)
\(882\) 4.67470 2.45059i 0.157405 0.0825155i
\(883\) 33.5850 + 10.9124i 1.13023 + 0.367233i 0.813662 0.581338i \(-0.197471\pi\)
0.316565 + 0.948571i \(0.397471\pi\)
\(884\) −49.0243 13.4835i −1.64886 0.453498i
\(885\) 3.76016 2.73192i 0.126397 0.0918324i
\(886\) −16.0974 + 2.74134i −0.540803 + 0.0920971i
\(887\) −37.7709 8.02844i −1.26822 0.269569i −0.475806 0.879550i \(-0.657843\pi\)
−0.792416 + 0.609982i \(0.791177\pi\)
\(888\) 13.7689 5.84275i 0.462052 0.196070i
\(889\) 0.556595 0.766087i 0.0186676 0.0256937i
\(890\) −8.27265 12.4209i −0.277300 0.416351i
\(891\) 19.1644 19.1834i 0.642032 0.642668i
\(892\) 22.2205 2.85800i 0.743997 0.0956929i
\(893\) −25.0821 2.63624i −0.839341 0.0882183i
\(894\) −14.2029 + 14.5363i −0.475016 + 0.486165i
\(895\) −7.38291 1.56929i −0.246784 0.0524555i
\(896\) 46.4165 + 25.0429i 1.55067 + 0.836624i
\(897\) −12.2680 + 17.7124i −0.409618 + 0.591401i
\(898\) −5.15694 + 2.04850i −0.172089 + 0.0683594i
\(899\) −14.0368 + 12.6388i −0.468152 + 0.421526i
\(900\) 1.89083 1.15096i 0.0630276 0.0383653i
\(901\) −28.8696 + 16.6679i −0.961787 + 0.555288i
\(902\) 28.7863 21.4511i 0.958478 0.714244i
\(903\) −1.94246 3.36445i −0.0646412 0.111962i
\(904\) 0.320780 + 3.67118i 0.0106690 + 0.122102i
\(905\) −14.4424 4.69261i −0.480081 0.155988i
\(906\) −11.9311 + 15.0882i −0.396384 + 0.501272i
\(907\) 3.21407 0.337813i 0.106721 0.0112169i −0.0510171 0.998698i \(-0.516246\pi\)
0.157739 + 0.987481i \(0.449580\pi\)
\(908\) −41.4054 + 9.81007i −1.37409 + 0.325559i
\(909\) 1.12298 0.364877i 0.0372468 0.0121022i
\(910\) −17.1110 7.99453i −0.567223 0.265016i
\(911\) −10.4830 + 14.4287i −0.347318 + 0.478043i −0.946561 0.322525i \(-0.895468\pi\)
0.599243 + 0.800567i \(0.295468\pi\)
\(912\) −11.1415 + 40.6103i −0.368932 + 1.34474i
\(913\) −42.7950 + 2.26406i −1.41631 + 0.0749293i
\(914\) 18.8896 + 28.3617i 0.624812 + 0.938122i
\(915\) 7.99372 11.0024i 0.264264 0.363728i
\(916\) −18.1604 51.7736i −0.600037 1.71065i
\(917\) −61.5302 55.4021i −2.03191 1.82954i
\(918\) 41.3872 34.3171i 1.36598 1.13263i
\(919\) −28.4818 12.6809i −0.939529 0.418305i −0.120924 0.992662i \(-0.538586\pi\)
−0.818605 + 0.574356i \(0.805252\pi\)
\(920\) −8.10200 0.142310i −0.267115 0.00469183i
\(921\) −29.7621 33.0542i −0.980695 1.08917i
\(922\) 6.11496 + 3.87101i 0.201386 + 0.127485i
\(923\) −13.6129 + 4.76521i −0.448073 + 0.156849i
\(924\) 19.4938 + 47.3952i 0.641299 + 1.55919i
\(925\) 12.0722 + 6.96990i 0.396932 + 0.229169i
\(926\) 32.0459 16.7992i 1.05309 0.552056i
\(927\) −0.511167 2.40485i −0.0167889 0.0789857i
\(928\) −16.0783 + 11.8206i −0.527797 + 0.388030i
\(929\) −16.7004 + 37.5098i −0.547923 + 1.23066i 0.401270 + 0.915960i \(0.368569\pi\)
−0.949193 + 0.314695i \(0.898098\pi\)
\(930\) 9.34941 + 3.46503i 0.306579 + 0.113623i
\(931\) −88.9994 + 28.9177i −2.91684 + 0.947738i
\(932\) 5.93327 + 16.9152i 0.194351 + 0.554075i
\(933\) −12.2684 + 5.46224i −0.401649 + 0.178826i
\(934\) −36.2357 17.9367i −1.18567 0.586906i
\(935\) 6.65008 17.3497i 0.217481 0.567397i
\(936\) −2.23100 + 1.30298i −0.0729226 + 0.0425893i
\(937\) 21.2191 29.2056i 0.693198 0.954105i −0.306800 0.951774i \(-0.599258\pi\)
0.999997 0.00233043i \(-0.000741801\pi\)
\(938\) 9.54662 9.77069i 0.311708 0.319024i
\(939\) 4.09459 19.2635i 0.133622 0.628642i
\(940\) −1.80991 + 6.04390i −0.0590326 + 0.197130i
\(941\) −3.10050 + 2.25265i −0.101073 + 0.0734341i −0.637174 0.770720i \(-0.719897\pi\)
0.536101 + 0.844154i \(0.319897\pi\)
\(942\) −18.4170 14.5633i −0.600057 0.474499i
\(943\) −5.73793 26.9949i −0.186853 0.879074i
\(944\) 13.1503 + 5.13814i 0.428007 + 0.167232i
\(945\) 17.2952 9.98541i 0.562614 0.324825i
\(946\) −2.14289 + 0.985302i −0.0696715 + 0.0320349i
\(947\) −11.4267 + 19.7916i −0.371318 + 0.643142i −0.989769 0.142682i \(-0.954427\pi\)
0.618450 + 0.785824i \(0.287761\pi\)
\(948\) −0.0313782 + 0.0573827i −0.00101912 + 0.00186370i
\(949\) −14.0777 7.70967i −0.456982 0.250266i
\(950\) −36.4741 + 14.4887i −1.18338 + 0.470075i
\(951\) −1.98361 18.8728i −0.0643230 0.611993i
\(952\) 27.1715 + 88.9089i 0.880633 + 2.88155i
\(953\) −20.0768 18.0772i −0.650351 0.585578i 0.276498 0.961015i \(-0.410826\pi\)
−0.926848 + 0.375436i \(0.877493\pi\)
\(954\) −0.419413 + 1.64118i −0.0135790 + 0.0531353i
\(955\) −2.06766 + 19.6724i −0.0669078 + 0.636585i
\(956\) 3.82850 2.91961i 0.123823 0.0944271i
\(957\) −19.3647 1.00524i −0.625972 0.0324948i
\(958\) −33.7590 + 22.4843i −1.09070 + 0.726435i
\(959\) −27.6474 + 12.3094i −0.892780 + 0.397491i
\(960\) 9.46726 + 4.62006i 0.305554 + 0.149112i
\(961\) −0.720715 2.21813i −0.0232489 0.0715526i
\(962\) −13.9400 8.39014i −0.449443 0.270509i
\(963\) 1.02351 0.743624i 0.0329822 0.0239630i
\(964\) 50.0903 + 4.09253i 1.61330 + 0.131811i
\(965\) 8.69346 7.82762i 0.279852 0.251980i
\(966\) 39.3638 + 1.60539i 1.26651 + 0.0516527i
\(967\) 41.8724i 1.34653i 0.739403 + 0.673263i \(0.235108\pi\)
−0.739403 + 0.673263i \(0.764892\pi\)
\(968\) 29.7452 9.12269i 0.956047 0.293214i
\(969\) −64.2850 + 37.1149i −2.06513 + 1.19230i
\(970\) −16.3739 10.3653i −0.525734 0.332810i
\(971\) −11.7933 55.4829i −0.378464 1.78053i −0.594446 0.804135i \(-0.702629\pi\)
0.215982 0.976397i \(-0.430705\pi\)
\(972\) 0.427613 5.23375i 0.0137157 0.167873i
\(973\) 31.6039 3.32170i 1.01317 0.106489i
\(974\) 28.1081 23.3064i 0.900641 0.746786i
\(975\) 24.0817 + 10.0772i 0.771231 + 0.322729i
\(976\) 41.2411 + 2.40807i 1.32010 + 0.0770806i
\(977\) −10.4854 23.5506i −0.335458 0.753451i −0.999981 0.00618319i \(-0.998032\pi\)
0.664523 0.747268i \(-0.268635\pi\)
\(978\) −42.4126 20.9943i −1.35621 0.671323i
\(979\) 39.2383 20.0174i 1.25406 0.639759i
\(980\) 2.98636 + 23.2185i 0.0953957 + 0.741687i
\(981\) 0.135984 1.29380i 0.00434163 0.0413078i
\(982\) 49.8895 13.9900i 1.59204 0.446440i
\(983\) 0.372030 + 1.14499i 0.0118659 + 0.0365195i 0.956814 0.290700i \(-0.0938883\pi\)
−0.944948 + 0.327220i \(0.893888\pi\)
\(984\) −8.07463 + 34.9576i −0.257410 + 1.11441i
\(985\) −2.48845 + 0.261546i −0.0792885 + 0.00833355i
\(986\) −34.8052 5.09951i −1.10842 0.162401i
\(987\) 9.47865 29.1723i 0.301709 0.928564i
\(988\) 42.8722 16.1332i 1.36395 0.513266i
\(989\) 1.81314i 0.0576545i
\(990\) −0.394426 0.857821i −0.0125357 0.0272633i
\(991\) −9.66873 5.58224i −0.307137 0.177326i 0.338508 0.940964i \(-0.390078\pi\)
−0.645645 + 0.763638i \(0.723411\pi\)
\(992\) 6.46408 + 29.5902i 0.205235 + 0.939491i
\(993\) −6.40875 2.08233i −0.203376 0.0660807i
\(994\) 20.6858 + 16.3574i 0.656114 + 0.518826i
\(995\) −6.69198 2.97946i −0.212150 0.0944553i
\(996\) 31.1547 29.3886i 0.987174 0.931215i
\(997\) 18.2615 + 16.4427i 0.578347 + 0.520746i 0.905568 0.424202i \(-0.139445\pi\)
−0.327221 + 0.944948i \(0.606112\pi\)
\(998\) −21.9267 21.4238i −0.694076 0.678159i
\(999\) 15.7169 6.99761i 0.497261 0.221395i
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.bn.a.95.13 yes 640
4.3 odd 2 inner 572.2.bn.a.95.10 640
11.8 odd 10 inner 572.2.bn.a.459.36 yes 640
13.10 even 6 inner 572.2.bn.a.491.40 yes 640
44.19 even 10 inner 572.2.bn.a.459.40 yes 640
52.23 odd 6 inner 572.2.bn.a.491.36 yes 640
143.140 odd 30 inner 572.2.bn.a.283.10 yes 640
572.283 even 30 inner 572.2.bn.a.283.13 yes 640
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
572.2.bn.a.95.10 640 4.3 odd 2 inner
572.2.bn.a.95.13 yes 640 1.1 even 1 trivial
572.2.bn.a.283.10 yes 640 143.140 odd 30 inner
572.2.bn.a.283.13 yes 640 572.283 even 30 inner
572.2.bn.a.459.36 yes 640 11.8 odd 10 inner
572.2.bn.a.459.40 yes 640 44.19 even 10 inner
572.2.bn.a.491.36 yes 640 52.23 odd 6 inner
572.2.bn.a.491.40 yes 640 13.10 even 6 inner