Properties

Label 547.2.j.a.11.16
Level $547$
Weight $2$
Character 547.11
Analytic conductor $4.368$
Analytic rank $0$
Dimension $1080$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [547,2,Mod(11,547)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(547, base_ring=CyclotomicField(78))
 
chi = DirichletCharacter(H, H._module([10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("547.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.j (of order \(39\), degree \(24\), 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: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(1080\)
Relative dimension: \(45\) over \(\Q(\zeta_{39})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{39}]$

Embedding invariants

Embedding label 11.16
Character \(\chi\) \(=\) 547.11
Dual form 547.2.j.a.199.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.959893 - 0.408972i) q^{2} -1.71601 q^{3} +(-0.631312 - 0.657265i) q^{4} +(-0.863810 + 0.140383i) q^{5} +(1.64718 + 0.701799i) q^{6} +(-3.57814 - 2.68879i) q^{7} +(1.07717 + 2.84026i) q^{8} -0.0553205 q^{9} +O(q^{10})\) \(q+(-0.959893 - 0.408972i) q^{2} -1.71601 q^{3} +(-0.631312 - 0.657265i) q^{4} +(-0.863810 + 0.140383i) q^{5} +(1.64718 + 0.701799i) q^{6} +(-3.57814 - 2.68879i) q^{7} +(1.07717 + 2.84026i) q^{8} -0.0553205 q^{9} +(0.886578 + 0.218522i) q^{10} +(-3.68262 + 0.297291i) q^{11} +(1.08334 + 1.12787i) q^{12} +(0.809100 - 1.40140i) q^{13} +(2.33499 + 4.04431i) q^{14} +(1.48230 - 0.240898i) q^{15} +(0.0542283 - 1.34566i) q^{16} +(0.169742 + 0.357723i) q^{17} +(0.0531018 + 0.0226246i) q^{18} +(-0.0988150 - 2.45207i) q^{19} +(0.637603 + 0.479127i) q^{20} +(6.14011 + 4.61399i) q^{21} +(3.65650 + 1.22072i) q^{22} +(0.230063 - 1.12692i) q^{23} +(-1.84843 - 4.87390i) q^{24} +(-4.01622 + 1.34081i) q^{25} +(-1.34978 + 1.01430i) q^{26} +5.24295 q^{27} +(0.491668 + 4.04925i) q^{28} +(-5.55203 + 4.91867i) q^{29} +(-1.52137 - 0.374985i) q^{30} +(9.61575 - 5.04674i) q^{31} +(2.00205 - 4.21923i) q^{32} +(6.31939 - 0.510154i) q^{33} +(-0.0166351 - 0.412796i) q^{34} +(3.46829 + 1.82030i) q^{35} +(0.0349245 + 0.0363603i) q^{36} +(0.312149 + 1.52901i) q^{37} +(-0.907977 + 2.39414i) q^{38} +(-1.38842 + 2.40482i) q^{39} +(-1.32919 - 2.30223i) q^{40} +(-2.17498 + 3.76717i) q^{41} +(-4.00685 - 6.94007i) q^{42} +(0.229738 - 0.793148i) q^{43} +(2.52028 + 2.23277i) q^{44} +(0.0477864 - 0.00776605i) q^{45} +(-0.681717 + 0.987638i) q^{46} +(11.5336 + 3.85048i) q^{47} +(-0.0930562 + 2.30916i) q^{48} +(3.62592 + 12.5181i) q^{49} +(4.40350 + 0.355487i) q^{50} +(-0.291278 - 0.613855i) q^{51} +(-1.43189 + 0.352929i) q^{52} +(3.19263 + 3.91027i) q^{53} +(-5.03267 - 2.14422i) q^{54} +(3.13935 - 0.773779i) q^{55} +(3.78262 - 13.0591i) q^{56} +(0.169567 + 4.20777i) q^{57} +(7.34096 - 2.45077i) q^{58} +(0.283222 - 7.02809i) q^{59} +(-1.09413 - 0.822186i) q^{60} +(-2.92095 - 1.24450i) q^{61} +(-11.2941 + 0.911752i) q^{62} +(0.197944 + 0.148746i) q^{63} +(-5.66342 + 5.01735i) q^{64} +(-0.502176 + 1.32413i) q^{65} +(-6.27458 - 2.09476i) q^{66} +(0.998497 - 3.44721i) q^{67} +(0.127959 - 0.337400i) q^{68} +(-0.394790 + 1.93381i) q^{69} +(-2.58474 - 3.16573i) q^{70} +(-0.978758 + 0.618929i) q^{71} +(-0.0595895 - 0.157125i) q^{72} +(-2.54245 - 0.413189i) q^{73} +(0.325692 - 1.59535i) q^{74} +(6.89186 - 2.30084i) q^{75} +(-1.54928 + 1.61297i) q^{76} +(13.9763 + 8.83805i) q^{77} +(2.31624 - 1.74054i) q^{78} +(-7.37271 + 1.81721i) q^{79} +(0.142065 + 1.17001i) q^{80} -8.83098 q^{81} +(3.62841 - 2.72658i) q^{82} +(-0.796777 - 0.975874i) q^{83} +(-0.843706 - 6.94855i) q^{84} +(-0.196843 - 0.285176i) q^{85} +(-0.544900 + 0.667381i) q^{86} +(9.52732 - 8.44047i) q^{87} +(-4.81118 - 10.1393i) q^{88} +(-1.01951 + 8.39645i) q^{89} +(-0.0490460 - 0.0120887i) q^{90} +(-6.66315 + 2.83890i) q^{91} +(-0.885930 + 0.560228i) q^{92} +(-16.5007 + 8.66023i) q^{93} +(-9.49628 - 8.41297i) q^{94} +(0.429586 + 2.10425i) q^{95} +(-3.43553 + 7.24023i) q^{96} +(-5.76267 - 0.465211i) q^{97} +(1.63907 - 13.4990i) q^{98} +(0.203724 - 0.0164463i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1080 q - 25 q^{2} - 74 q^{3} + 21 q^{4} - 27 q^{5} - 75 q^{6} - 28 q^{7} + 4 q^{8} + 1010 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1080 q - 25 q^{2} - 74 q^{3} + 21 q^{4} - 27 q^{5} - 75 q^{6} - 28 q^{7} + 4 q^{8} + 1010 q^{9} - 16 q^{10} - 14 q^{11} - 69 q^{12} - 10 q^{13} - 15 q^{14} - 97 q^{15} + 39 q^{16} - 22 q^{17} - 145 q^{18} - 24 q^{19} - 51 q^{20} - 77 q^{21} - 19 q^{22} - 53 q^{23} - 45 q^{24} + 40 q^{25} - 68 q^{26} - 278 q^{27} - 50 q^{28} + 39 q^{29} + 14 q^{30} - 2 q^{31} - 45 q^{32} - 105 q^{33} - 98 q^{34} - 18 q^{35} - 172 q^{36} - 16 q^{37} - 37 q^{38} + 30 q^{39} - 33 q^{40} + 62 q^{41} + 170 q^{42} + 12 q^{43} - 22 q^{44} - 128 q^{45} + 79 q^{46} - 58 q^{47} - 27 q^{48} + 17 q^{49} - 40 q^{50} - 39 q^{51} + 97 q^{52} + 17 q^{53} - 278 q^{54} + 9 q^{55} + 47 q^{56} - 174 q^{57} - 134 q^{58} - 126 q^{59} - 414 q^{60} - 79 q^{61} + 15 q^{62} - 398 q^{63} - 308 q^{64} + 47 q^{65} - 142 q^{66} + 22 q^{67} + 7 q^{68} - 77 q^{69} + 396 q^{70} - 22 q^{71} - 172 q^{72} + 9 q^{73} - 43 q^{74} - 143 q^{75} + 46 q^{76} + 56 q^{77} - 33 q^{78} + 72 q^{79} + 131 q^{80} + 944 q^{81} + 74 q^{82} + 41 q^{83} - 582 q^{84} - 66 q^{85} + 20 q^{86} - 182 q^{87} - 459 q^{88} - 92 q^{89} - 265 q^{90} + 65 q^{91} + 86 q^{92} - 28 q^{93} - 17 q^{94} + 37 q^{95} - 70 q^{96} + 91 q^{97} + 139 q^{98} - 237 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{39}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959893 0.408972i −0.678747 0.289187i 0.0249485 0.999689i \(-0.492058\pi\)
−0.703696 + 0.710502i \(0.748468\pi\)
\(3\) −1.71601 −0.990737 −0.495369 0.868683i \(-0.664967\pi\)
−0.495369 + 0.868683i \(0.664967\pi\)
\(4\) −0.631312 0.657265i −0.315656 0.328633i
\(5\) −0.863810 + 0.140383i −0.386308 + 0.0627811i −0.350464 0.936576i \(-0.613976\pi\)
−0.0358439 + 0.999357i \(0.511412\pi\)
\(6\) 1.64718 + 0.701799i 0.672460 + 0.286508i
\(7\) −3.57814 2.68879i −1.35241 1.01627i −0.996658 0.0816879i \(-0.973969\pi\)
−0.355750 0.934581i \(-0.615775\pi\)
\(8\) 1.07717 + 2.84026i 0.380836 + 1.00418i
\(9\) −0.0553205 −0.0184402
\(10\) 0.886578 + 0.218522i 0.280361 + 0.0691027i
\(11\) −3.68262 + 0.297291i −1.11035 + 0.0896368i −0.622005 0.783014i \(-0.713682\pi\)
−0.488346 + 0.872650i \(0.662399\pi\)
\(12\) 1.08334 + 1.12787i 0.312732 + 0.325589i
\(13\) 0.809100 1.40140i 0.224404 0.388679i −0.731736 0.681588i \(-0.761290\pi\)
0.956140 + 0.292909i \(0.0946231\pi\)
\(14\) 2.33499 + 4.04431i 0.624051 + 1.08089i
\(15\) 1.48230 0.240898i 0.382729 0.0621996i
\(16\) 0.0542283 1.34566i 0.0135571 0.336415i
\(17\) 0.169742 + 0.357723i 0.0411684 + 0.0867606i 0.922993 0.384818i \(-0.125736\pi\)
−0.881824 + 0.471578i \(0.843684\pi\)
\(18\) 0.0531018 + 0.0226246i 0.0125162 + 0.00533266i
\(19\) −0.0988150 2.45207i −0.0226697 0.562543i −0.970118 0.242634i \(-0.921989\pi\)
0.947448 0.319909i \(-0.103652\pi\)
\(20\) 0.637603 + 0.479127i 0.142572 + 0.107136i
\(21\) 6.14011 + 4.61399i 1.33988 + 1.00686i
\(22\) 3.65650 + 1.22072i 0.779569 + 0.260258i
\(23\) 0.230063 1.12692i 0.0479715 0.234980i −0.948735 0.316072i \(-0.897636\pi\)
0.996707 + 0.0810924i \(0.0258409\pi\)
\(24\) −1.84843 4.87390i −0.377309 0.994881i
\(25\) −4.01622 + 1.34081i −0.803244 + 0.268162i
\(26\) −1.34978 + 1.01430i −0.264715 + 0.198920i
\(27\) 5.24295 1.00901
\(28\) 0.491668 + 4.04925i 0.0929166 + 0.765237i
\(29\) −5.55203 + 4.91867i −1.03099 + 0.913374i −0.996293 0.0860237i \(-0.972584\pi\)
−0.0346933 + 0.999398i \(0.511045\pi\)
\(30\) −1.52137 0.374985i −0.277764 0.0684626i
\(31\) 9.61575 5.04674i 1.72704 0.906421i 0.760719 0.649081i \(-0.224846\pi\)
0.966321 0.257340i \(-0.0828459\pi\)
\(32\) 2.00205 4.21923i 0.353916 0.745862i
\(33\) 6.31939 0.510154i 1.10007 0.0888064i
\(34\) −0.0166351 0.412796i −0.00285290 0.0707939i
\(35\) 3.46829 + 1.82030i 0.586248 + 0.307687i
\(36\) 0.0349245 + 0.0363603i 0.00582075 + 0.00606004i
\(37\) 0.312149 + 1.52901i 0.0513170 + 0.251368i 0.997355 0.0726894i \(-0.0231582\pi\)
−0.946038 + 0.324057i \(0.894953\pi\)
\(38\) −0.907977 + 2.39414i −0.147293 + 0.388380i
\(39\) −1.38842 + 2.40482i −0.222325 + 0.385079i
\(40\) −1.32919 2.30223i −0.210164 0.364014i
\(41\) −2.17498 + 3.76717i −0.339674 + 0.588333i −0.984371 0.176105i \(-0.943650\pi\)
0.644697 + 0.764438i \(0.276984\pi\)
\(42\) −4.00685 6.94007i −0.618271 1.07088i
\(43\) 0.229738 0.793148i 0.0350347 0.120954i −0.941095 0.338142i \(-0.890201\pi\)
0.976130 + 0.217188i \(0.0696886\pi\)
\(44\) 2.52028 + 2.23277i 0.379946 + 0.336603i
\(45\) 0.0477864 0.00776605i 0.00712358 0.00115769i
\(46\) −0.681717 + 0.987638i −0.100514 + 0.145619i
\(47\) 11.5336 + 3.85048i 1.68235 + 0.561650i 0.987515 0.157522i \(-0.0503505\pi\)
0.694832 + 0.719172i \(0.255479\pi\)
\(48\) −0.0930562 + 2.30916i −0.0134315 + 0.333299i
\(49\) 3.62592 + 12.5181i 0.517988 + 1.78830i
\(50\) 4.40350 + 0.355487i 0.622749 + 0.0502735i
\(51\) −0.291278 0.613855i −0.0407871 0.0859570i
\(52\) −1.43189 + 0.352929i −0.198567 + 0.0489424i
\(53\) 3.19263 + 3.91027i 0.438542 + 0.537116i 0.945831 0.324660i \(-0.105250\pi\)
−0.507289 + 0.861776i \(0.669352\pi\)
\(54\) −5.03267 2.14422i −0.684860 0.291792i
\(55\) 3.13935 0.773779i 0.423309 0.104336i
\(56\) 3.78262 13.0591i 0.505474 1.74510i
\(57\) 0.169567 + 4.20777i 0.0224597 + 0.557333i
\(58\) 7.34096 2.45077i 0.963915 0.321802i
\(59\) 0.283222 7.02809i 0.0368724 0.914980i −0.869866 0.493287i \(-0.835795\pi\)
0.906739 0.421692i \(-0.138564\pi\)
\(60\) −1.09413 0.822186i −0.141252 0.106144i
\(61\) −2.92095 1.24450i −0.373989 0.159342i 0.196790 0.980446i \(-0.436948\pi\)
−0.570779 + 0.821104i \(0.693359\pi\)
\(62\) −11.2941 + 0.911752i −1.43435 + 0.115793i
\(63\) 0.197944 + 0.148746i 0.0249386 + 0.0187402i
\(64\) −5.66342 + 5.01735i −0.707928 + 0.627169i
\(65\) −0.502176 + 1.32413i −0.0622873 + 0.164238i
\(66\) −6.27458 2.09476i −0.772348 0.257848i
\(67\) 0.998497 3.44721i 0.121986 0.421144i −0.876159 0.482021i \(-0.839903\pi\)
0.998145 + 0.0608776i \(0.0193899\pi\)
\(68\) 0.127959 0.337400i 0.0155173 0.0409158i
\(69\) −0.394790 + 1.93381i −0.0475271 + 0.232803i
\(70\) −2.58474 3.16573i −0.308935 0.378377i
\(71\) −0.978758 + 0.618929i −0.116157 + 0.0734534i −0.591281 0.806466i \(-0.701378\pi\)
0.475124 + 0.879919i \(0.342403\pi\)
\(72\) −0.0595895 0.157125i −0.00702269 0.0185173i
\(73\) −2.54245 0.413189i −0.297571 0.0483601i 0.00979269 0.999952i \(-0.496883\pi\)
−0.307364 + 0.951592i \(0.599447\pi\)
\(74\) 0.325692 1.59535i 0.0378609 0.185455i
\(75\) 6.89186 2.30084i 0.795804 0.265678i
\(76\) −1.54928 + 1.61297i −0.177714 + 0.185020i
\(77\) 13.9763 + 8.83805i 1.59274 + 1.00719i
\(78\) 2.31624 1.74054i 0.262263 0.197077i
\(79\) −7.37271 + 1.81721i −0.829495 + 0.204452i −0.631131 0.775676i \(-0.717409\pi\)
−0.198364 + 0.980128i \(0.563563\pi\)
\(80\) 0.142065 + 1.17001i 0.0158833 + 0.130811i
\(81\) −8.83098 −0.981220
\(82\) 3.62841 2.72658i 0.400691 0.301100i
\(83\) −0.796777 0.975874i −0.0874576 0.107116i 0.729022 0.684490i \(-0.239975\pi\)
−0.816480 + 0.577374i \(0.804078\pi\)
\(84\) −0.843706 6.94855i −0.0920559 0.758149i
\(85\) −0.196843 0.285176i −0.0213506 0.0309317i
\(86\) −0.544900 + 0.667381i −0.0587580 + 0.0719655i
\(87\) 9.52732 8.44047i 1.02144 0.904914i
\(88\) −4.81118 10.1393i −0.512874 1.08086i
\(89\) −1.01951 + 8.39645i −0.108068 + 0.890022i 0.833342 + 0.552758i \(0.186425\pi\)
−0.941410 + 0.337264i \(0.890499\pi\)
\(90\) −0.0490460 0.0120887i −0.00516990 0.00127427i
\(91\) −6.66315 + 2.83890i −0.698488 + 0.297598i
\(92\) −0.885930 + 0.560228i −0.0923646 + 0.0584078i
\(93\) −16.5007 + 8.66023i −1.71104 + 0.898025i
\(94\) −9.49628 8.41297i −0.979466 0.867732i
\(95\) 0.429586 + 2.10425i 0.0440746 + 0.215892i
\(96\) −3.43553 + 7.24023i −0.350637 + 0.738953i
\(97\) −5.76267 0.465211i −0.585110 0.0472350i −0.215633 0.976475i \(-0.569181\pi\)
−0.369478 + 0.929240i \(0.620463\pi\)
\(98\) 1.63907 13.4990i 0.165571 1.36360i
\(99\) 0.203724 0.0164463i 0.0204751 0.00165292i
\(100\) 3.41676 + 1.79325i 0.341676 + 0.179325i
\(101\) −3.38405 8.92300i −0.336725 0.887872i −0.991270 0.131849i \(-0.957909\pi\)
0.654544 0.756024i \(-0.272860\pi\)
\(102\) 0.0285459 + 0.708360i 0.00282647 + 0.0701381i
\(103\) −5.72264 + 8.29067i −0.563868 + 0.816904i −0.996405 0.0847118i \(-0.973003\pi\)
0.432537 + 0.901616i \(0.357618\pi\)
\(104\) 4.85188 + 0.788508i 0.475766 + 0.0773195i
\(105\) −5.95161 3.12365i −0.580818 0.304837i
\(106\) −1.46540 5.05914i −0.142332 0.491387i
\(107\) −5.54012 8.02626i −0.535584 0.775927i 0.458009 0.888948i \(-0.348563\pi\)
−0.993593 + 0.113020i \(0.963947\pi\)
\(108\) −3.30994 3.44601i −0.318499 0.331593i
\(109\) −9.49317 6.00312i −0.909281 0.574995i −0.00408645 0.999992i \(-0.501301\pi\)
−0.905195 + 0.424997i \(0.860275\pi\)
\(110\) −3.32989 0.541160i −0.317493 0.0515976i
\(111\) −0.535651 2.62379i −0.0508417 0.249039i
\(112\) −3.81224 + 4.66915i −0.360223 + 0.441193i
\(113\) 10.2446 + 6.47830i 0.963731 + 0.609427i 0.920960 0.389658i \(-0.127407\pi\)
0.0427717 + 0.999085i \(0.486381\pi\)
\(114\) 1.55809 4.10836i 0.145929 0.384783i
\(115\) −0.0405302 + 1.00575i −0.00377946 + 0.0937863i
\(116\) 6.73794 + 0.543942i 0.625602 + 0.0505038i
\(117\) −0.0447598 + 0.0775263i −0.00413805 + 0.00716731i
\(118\) −3.14616 + 6.63039i −0.289627 + 0.610377i
\(119\) 0.354485 1.73638i 0.0324956 0.159174i
\(120\) 2.28090 + 3.95064i 0.208217 + 0.360642i
\(121\) 2.61572 0.425096i 0.237793 0.0386451i
\(122\) 2.29483 + 2.38917i 0.207764 + 0.216306i
\(123\) 3.73227 6.46449i 0.336528 0.582883i
\(124\) −9.38759 3.13404i −0.843030 0.281445i
\(125\) 7.15553 3.75551i 0.640010 0.335903i
\(126\) −0.129173 0.223734i −0.0115076 0.0199318i
\(127\) 2.87976 + 9.94209i 0.255538 + 0.882218i 0.981008 + 0.193965i \(0.0621349\pi\)
−0.725471 + 0.688253i \(0.758378\pi\)
\(128\) −1.37134 + 0.457820i −0.121210 + 0.0404659i
\(129\) −0.394232 + 1.36105i −0.0347102 + 0.119834i
\(130\) 1.02357 1.06565i 0.0897728 0.0934634i
\(131\) 2.96873 + 4.30095i 0.259379 + 0.375776i 0.930939 0.365175i \(-0.118991\pi\)
−0.671560 + 0.740950i \(0.734375\pi\)
\(132\) −4.32482 3.83145i −0.376427 0.333485i
\(133\) −6.23954 + 9.03953i −0.541037 + 0.783827i
\(134\) −2.36826 + 2.90060i −0.204587 + 0.250573i
\(135\) −4.52891 + 0.736020i −0.389787 + 0.0633465i
\(136\) −0.833186 + 0.867438i −0.0714451 + 0.0743822i
\(137\) 10.2115 10.6313i 0.872427 0.908293i −0.124040 0.992277i \(-0.539585\pi\)
0.996467 + 0.0839846i \(0.0267647\pi\)
\(138\) 1.16983 1.69479i 0.0995826 0.144270i
\(139\) −14.8132 + 15.4221i −1.25644 + 1.30809i −0.324311 + 0.945950i \(0.605133\pi\)
−0.932124 + 0.362138i \(0.882047\pi\)
\(140\) −0.993154 3.42876i −0.0839368 0.289784i
\(141\) −19.7917 6.60745i −1.66676 0.556448i
\(142\) 1.19263 0.193821i 0.100083 0.0162651i
\(143\) −2.56298 + 5.40137i −0.214327 + 0.451685i
\(144\) −0.00299994 + 0.0744427i −0.000249995 + 0.00620356i
\(145\) 4.10540 5.02821i 0.340935 0.417570i
\(146\) 2.27150 + 1.43641i 0.187991 + 0.118878i
\(147\) −6.22210 21.4812i −0.513190 1.77174i
\(148\) 0.807901 1.17045i 0.0664091 0.0962101i
\(149\) 0.815200 + 0.427850i 0.0667837 + 0.0350508i 0.497784 0.867301i \(-0.334147\pi\)
−0.431001 + 0.902352i \(0.641839\pi\)
\(150\) −7.55643 0.610018i −0.616980 0.0498078i
\(151\) −1.36508 1.20935i −0.111088 0.0984158i 0.605750 0.795655i \(-0.292873\pi\)
−0.716839 + 0.697239i \(0.754412\pi\)
\(152\) 6.85807 2.92195i 0.556263 0.237002i
\(153\) −0.00939020 0.0197894i −0.000759153 0.00159988i
\(154\) −9.80120 14.1995i −0.789803 1.14423i
\(155\) −7.59771 + 5.70931i −0.610263 + 0.458583i
\(156\) 2.45713 0.605628i 0.196728 0.0484891i
\(157\) 10.1057 10.5212i 0.806525 0.839681i −0.183139 0.983087i \(-0.558626\pi\)
0.989664 + 0.143406i \(0.0458054\pi\)
\(158\) 7.82021 + 1.27091i 0.622142 + 0.101108i
\(159\) −5.47858 6.71004i −0.434480 0.532141i
\(160\) −1.13708 + 3.92567i −0.0898944 + 0.310351i
\(161\) −3.85327 + 3.41370i −0.303680 + 0.269037i
\(162\) 8.47680 + 3.61163i 0.666000 + 0.283756i
\(163\) 0.622189 0.207717i 0.0487336 0.0162697i −0.292197 0.956358i \(-0.594386\pi\)
0.340930 + 0.940089i \(0.389258\pi\)
\(164\) 3.84912 0.948723i 0.300566 0.0740828i
\(165\) −5.38714 + 1.32781i −0.419388 + 0.103370i
\(166\) 0.365715 + 1.26259i 0.0283850 + 0.0979963i
\(167\) 4.09806 5.93706i 0.317117 0.459423i −0.631717 0.775199i \(-0.717649\pi\)
0.948834 + 0.315776i \(0.102265\pi\)
\(168\) −6.49100 + 22.4095i −0.500792 + 1.72893i
\(169\) 5.19071 + 8.99058i 0.399286 + 0.691583i
\(170\) 0.0723190 + 0.354242i 0.00554661 + 0.0271691i
\(171\) 0.00546650 + 0.135650i 0.000418034 + 0.0103734i
\(172\) −0.666345 + 0.349725i −0.0508083 + 0.0266663i
\(173\) 2.60543 + 21.4577i 0.198088 + 1.63140i 0.664823 + 0.747001i \(0.268507\pi\)
−0.466736 + 0.884397i \(0.654570\pi\)
\(174\) −12.5971 + 4.20554i −0.954986 + 0.318821i
\(175\) 17.9758 + 6.00119i 1.35884 + 0.453647i
\(176\) 0.200352 + 4.97168i 0.0151021 + 0.374754i
\(177\) −0.486012 + 12.0603i −0.0365309 + 0.906504i
\(178\) 4.41254 7.64274i 0.330734 0.572848i
\(179\) −8.73804 2.15373i −0.653112 0.160978i −0.101182 0.994868i \(-0.532262\pi\)
−0.551930 + 0.833890i \(0.686108\pi\)
\(180\) −0.0352725 0.0265056i −0.00262906 0.00197561i
\(181\) 2.87020 + 2.98819i 0.213340 + 0.222110i 0.819271 0.573407i \(-0.194379\pi\)
−0.605931 + 0.795517i \(0.707199\pi\)
\(182\) 7.55695 0.560158
\(183\) 5.01237 + 2.13557i 0.370525 + 0.157866i
\(184\) 3.44857 0.560448i 0.254232 0.0413168i
\(185\) −0.484284 1.27695i −0.0356053 0.0938835i
\(186\) 19.3807 1.56457i 1.42106 0.114720i
\(187\) −0.731442 1.26689i −0.0534883 0.0926445i
\(188\) −4.75051 10.0115i −0.346466 0.730163i
\(189\) −18.7600 14.0972i −1.36459 1.02542i
\(190\) 0.448224 2.19555i 0.0325176 0.159282i
\(191\) −0.609559 + 0.458054i −0.0441061 + 0.0331436i −0.622567 0.782567i \(-0.713910\pi\)
0.578461 + 0.815710i \(0.303654\pi\)
\(192\) 9.71847 8.60982i 0.701370 0.621360i
\(193\) 10.1123 21.3113i 0.727901 1.53402i −0.113458 0.993543i \(-0.536193\pi\)
0.841359 0.540476i \(-0.181756\pi\)
\(194\) 5.34129 + 2.80332i 0.383482 + 0.201267i
\(195\) 0.861738 2.27222i 0.0617103 0.162717i
\(196\) 5.93864 10.2860i 0.424189 0.734716i
\(197\) 20.2802 + 17.9667i 1.44491 + 1.28008i 0.895899 + 0.444258i \(0.146533\pi\)
0.549008 + 0.835817i \(0.315006\pi\)
\(198\) −0.202280 0.0675309i −0.0143754 0.00479921i
\(199\) −20.2114 1.63163i −1.43275 0.115663i −0.660425 0.750892i \(-0.729624\pi\)
−0.772324 + 0.635229i \(0.780906\pi\)
\(200\) −8.13440 9.96283i −0.575189 0.704478i
\(201\) −1.71343 + 5.91544i −0.120856 + 0.417243i
\(202\) −0.400936 + 9.94911i −0.0282097 + 0.700017i
\(203\) 33.0912 2.67140i 2.32255 0.187495i
\(204\) −0.219579 + 0.578981i −0.0153736 + 0.0405368i
\(205\) 1.34992 3.55945i 0.0942826 0.248603i
\(206\) 8.88378 5.61776i 0.618962 0.391408i
\(207\) −0.0127272 + 0.0623420i −0.000884603 + 0.00433307i
\(208\) −1.84194 1.16477i −0.127715 0.0807623i
\(209\) 1.09288 + 9.00065i 0.0755959 + 0.622588i
\(210\) 4.43543 + 5.43241i 0.306074 + 0.374872i
\(211\) 10.0126 12.2632i 0.689293 0.844230i −0.304839 0.952404i \(-0.598603\pi\)
0.994132 + 0.108174i \(0.0345002\pi\)
\(212\) 0.554535 4.56700i 0.0380856 0.313663i
\(213\) 1.67956 1.06209i 0.115081 0.0727730i
\(214\) 2.03541 + 9.97011i 0.139138 + 0.681542i
\(215\) −0.0871058 + 0.717381i −0.00594056 + 0.0489250i
\(216\) 5.64754 + 14.8913i 0.384266 + 1.01323i
\(217\) −47.9761 7.79688i −3.25683 0.529287i
\(218\) 6.65732 + 9.64480i 0.450891 + 0.653228i
\(219\) 4.36286 + 0.709034i 0.294815 + 0.0479121i
\(220\) −2.49049 1.57489i −0.167909 0.106179i
\(221\) 0.638652 + 0.0515573i 0.0429604 + 0.00346812i
\(222\) −0.558890 + 2.73762i −0.0375102 + 0.183737i
\(223\) 8.99612 + 9.36595i 0.602424 + 0.627190i 0.950667 0.310214i \(-0.100401\pi\)
−0.348242 + 0.937405i \(0.613221\pi\)
\(224\) −18.5083 + 9.71388i −1.23663 + 0.649036i
\(225\) 0.222179 0.0741744i 0.0148120 0.00494496i
\(226\) −7.18428 10.4082i −0.477891 0.692345i
\(227\) −17.1333 + 20.9845i −1.13718 + 1.39279i −0.229406 + 0.973331i \(0.573678\pi\)
−0.907773 + 0.419461i \(0.862219\pi\)
\(228\) 2.65857 2.76787i 0.176068 0.183306i
\(229\) 3.37405 + 11.6486i 0.222964 + 0.769760i 0.991517 + 0.129974i \(0.0414895\pi\)
−0.768554 + 0.639785i \(0.779023\pi\)
\(230\) 0.450227 0.948833i 0.0296871 0.0625642i
\(231\) −23.9834 15.1662i −1.57799 0.997860i
\(232\) −19.9508 10.4710i −1.30983 0.687453i
\(233\) 17.1311 7.29888i 1.12230 0.478165i 0.250540 0.968106i \(-0.419392\pi\)
0.871756 + 0.489941i \(0.162982\pi\)
\(234\) 0.0746708 0.0561115i 0.00488138 0.00366812i
\(235\) −10.5034 1.70696i −0.685165 0.111350i
\(236\) −4.79812 + 4.25077i −0.312331 + 0.276701i
\(237\) 12.6516 3.11835i 0.821812 0.202558i
\(238\) −1.05040 + 1.52177i −0.0680873 + 0.0986415i
\(239\) 1.39711 + 6.84349i 0.0903715 + 0.442669i 0.999649 + 0.0264793i \(0.00842959\pi\)
−0.909278 + 0.416190i \(0.863365\pi\)
\(240\) −0.243784 2.00774i −0.0157362 0.129599i
\(241\) 1.11787 + 27.7397i 0.0720085 + 1.78687i 0.483385 + 0.875408i \(0.339407\pi\)
−0.411377 + 0.911465i \(0.634952\pi\)
\(242\) −2.68467 0.661711i −0.172577 0.0425364i
\(243\) −0.574834 −0.0368756
\(244\) 1.02606 + 2.70551i 0.0656869 + 0.173202i
\(245\) −4.88943 10.3043i −0.312374 0.658315i
\(246\) −6.22638 + 4.67882i −0.396980 + 0.298311i
\(247\) −3.51629 1.84549i −0.223736 0.117426i
\(248\) 24.6918 + 21.8750i 1.56793 + 1.38907i
\(249\) 1.36727 + 1.67461i 0.0866475 + 0.106124i
\(250\) −8.40445 + 0.678477i −0.531544 + 0.0429106i
\(251\) 16.6308 10.5167i 1.04973 0.663806i 0.105942 0.994372i \(-0.466214\pi\)
0.943783 + 0.330566i \(0.107240\pi\)
\(252\) −0.0271994 0.224007i −0.00171340 0.0141111i
\(253\) −0.512210 + 4.21843i −0.0322023 + 0.265210i
\(254\) 1.30178 10.7211i 0.0816807 0.672701i
\(255\) 0.337784 + 0.489364i 0.0211528 + 0.0306452i
\(256\) 16.5870 + 1.33904i 1.03669 + 0.0836901i
\(257\) −1.67956 + 0.881500i −0.104768 + 0.0549864i −0.516293 0.856412i \(-0.672689\pi\)
0.411525 + 0.911398i \(0.364996\pi\)
\(258\) 0.935051 1.14523i 0.0582138 0.0712989i
\(259\) 2.99428 6.31031i 0.186055 0.392103i
\(260\) 1.18733 0.505876i 0.0736354 0.0313731i
\(261\) 0.307141 0.272103i 0.0190116 0.0168428i
\(262\) −1.09070 5.34258i −0.0673834 0.330066i
\(263\) 1.25822 + 0.310124i 0.0775852 + 0.0191230i 0.277917 0.960605i \(-0.410356\pi\)
−0.200332 + 0.979728i \(0.564202\pi\)
\(264\) 8.25602 + 17.3992i 0.508123 + 1.07085i
\(265\) −3.30676 2.92954i −0.203133 0.179960i
\(266\) 9.68621 6.12519i 0.593900 0.375559i
\(267\) 1.74949 14.4084i 0.107067 0.881777i
\(268\) −2.89609 + 1.51999i −0.176907 + 0.0928480i
\(269\) −6.56820 + 2.79845i −0.400470 + 0.170624i −0.582805 0.812612i \(-0.698045\pi\)
0.182335 + 0.983237i \(0.441635\pi\)
\(270\) 4.64829 + 1.14570i 0.282886 + 0.0697251i
\(271\) 24.8969 15.7438i 1.51238 0.956370i 0.517457 0.855709i \(-0.326879\pi\)
0.994921 0.100661i \(-0.0320958\pi\)
\(272\) 0.490579 0.209016i 0.0297457 0.0126735i
\(273\) 11.4340 4.87158i 0.692018 0.294841i
\(274\) −14.1498 + 6.02869i −0.854824 + 0.364206i
\(275\) 14.3916 6.13168i 0.867845 0.369754i
\(276\) 1.52026 0.961356i 0.0915090 0.0578668i
\(277\) 7.48265 + 1.84431i 0.449589 + 0.110814i 0.457608 0.889154i \(-0.348706\pi\)
−0.00801890 + 0.999968i \(0.502553\pi\)
\(278\) 20.5263 8.74543i 1.23108 0.524516i
\(279\) −0.531949 + 0.279188i −0.0318469 + 0.0167146i
\(280\) −1.43419 + 11.8116i −0.0857092 + 0.705879i
\(281\) −3.45588 + 2.18536i −0.206160 + 0.130368i −0.633556 0.773697i \(-0.718405\pi\)
0.427396 + 0.904065i \(0.359431\pi\)
\(282\) 16.2957 + 14.4367i 0.970394 + 0.859694i
\(283\) 0.413649 + 0.871746i 0.0245889 + 0.0518199i 0.915373 0.402606i \(-0.131896\pi\)
−0.890784 + 0.454426i \(0.849844\pi\)
\(284\) 1.02470 + 0.252566i 0.0608049 + 0.0149871i
\(285\) −0.737172 3.61091i −0.0436663 0.213892i
\(286\) 4.66920 4.13655i 0.276095 0.244599i
\(287\) 17.9115 7.63138i 1.05728 0.450466i
\(288\) −0.110754 + 0.233410i −0.00652627 + 0.0137538i
\(289\) 10.6524 13.0468i 0.626613 0.767461i
\(290\) −5.99715 + 3.14755i −0.352165 + 0.184830i
\(291\) 9.88878 + 0.798305i 0.579690 + 0.0467975i
\(292\) 1.33351 + 1.93192i 0.0780375 + 0.113057i
\(293\) −0.232173 + 1.91211i −0.0135637 + 0.111707i −0.997918 0.0644923i \(-0.979457\pi\)
0.984355 + 0.176199i \(0.0563803\pi\)
\(294\) −2.81266 + 23.1643i −0.164037 + 1.35097i
\(295\) 0.741973 + 6.11070i 0.0431993 + 0.355779i
\(296\) −4.00654 + 2.53358i −0.232876 + 0.147262i
\(297\) −19.3078 + 1.55868i −1.12035 + 0.0904441i
\(298\) −0.607526 0.744084i −0.0351930 0.0431036i
\(299\) −1.39313 1.23421i −0.0805668 0.0713760i
\(300\) −5.86318 3.07723i −0.338511 0.177664i
\(301\) −2.95465 + 2.22027i −0.170303 + 0.127974i
\(302\) 0.815737 + 1.71913i 0.0469404 + 0.0989248i
\(303\) 5.80705 + 15.3119i 0.333606 + 0.879648i
\(304\) −3.30502 −0.189556
\(305\) 2.69785 + 0.664960i 0.154478 + 0.0380755i
\(306\) 0.000920262 0.0228361i 5.26079e−5 0.00130545i
\(307\) 1.46417 + 12.0585i 0.0835645 + 0.688215i 0.972943 + 0.231044i \(0.0742142\pi\)
−0.889379 + 0.457171i \(0.848863\pi\)
\(308\) −3.01443 14.7657i −0.171763 0.841352i
\(309\) 9.82009 14.2269i 0.558645 0.809337i
\(310\) 9.62794 2.37307i 0.546830 0.134782i
\(311\) 6.42074 5.68828i 0.364087 0.322553i −0.461168 0.887313i \(-0.652570\pi\)
0.825255 + 0.564760i \(0.191031\pi\)
\(312\) −8.32586 1.35308i −0.471359 0.0766033i
\(313\) 22.5045 16.9110i 1.27203 0.955866i 0.272048 0.962284i \(-0.412299\pi\)
0.999979 + 0.00641754i \(0.00204278\pi\)
\(314\) −14.0033 + 5.96624i −0.790251 + 0.336695i
\(315\) −0.191868 0.100700i −0.0108105 0.00567380i
\(316\) 5.84887 + 3.69860i 0.329025 + 0.208063i
\(317\) −14.6637 + 30.9030i −0.823594 + 1.73569i −0.160660 + 0.987010i \(0.551362\pi\)
−0.662934 + 0.748678i \(0.730689\pi\)
\(318\) 2.51463 + 8.68151i 0.141013 + 0.486835i
\(319\) 18.9837 19.7641i 1.06288 1.10658i
\(320\) 4.18777 5.12909i 0.234104 0.286725i
\(321\) 9.50689 + 13.7731i 0.530623 + 0.768740i
\(322\) 5.09483 1.70090i 0.283924 0.0947877i
\(323\) 0.860389 0.451567i 0.0478733 0.0251259i
\(324\) 5.57510 + 5.80430i 0.309728 + 0.322461i
\(325\) −1.37051 + 6.71319i −0.0760221 + 0.372381i
\(326\) −0.682186 0.0550717i −0.0377828 0.00305014i
\(327\) 16.2904 + 10.3014i 0.900859 + 0.569668i
\(328\) −13.0426 2.11962i −0.720154 0.117036i
\(329\) −30.9156 44.7890i −1.70443 2.46930i
\(330\) 5.71412 + 0.928634i 0.314552 + 0.0511196i
\(331\) 6.21594 + 16.3901i 0.341659 + 0.900880i 0.990194 + 0.139696i \(0.0446125\pi\)
−0.648536 + 0.761184i \(0.724618\pi\)
\(332\) −0.138394 + 1.13977i −0.00759534 + 0.0625533i
\(333\) −0.0172683 0.0845856i −0.000946295 0.00463526i
\(334\) −6.36179 + 4.02295i −0.348102 + 0.220126i
\(335\) −0.378582 + 3.11791i −0.0206842 + 0.170349i
\(336\) 6.54184 8.01230i 0.356887 0.437107i
\(337\) 10.8782 + 13.3233i 0.592571 + 0.725768i 0.980631 0.195867i \(-0.0627520\pi\)
−0.388060 + 0.921634i \(0.626855\pi\)
\(338\) −1.30563 10.7529i −0.0710171 0.584878i
\(339\) −17.5798 11.1168i −0.954804 0.603782i
\(340\) −0.0631671 + 0.309413i −0.00342572 + 0.0167803i
\(341\) −33.9108 + 21.4439i −1.83637 + 1.16125i
\(342\) 0.0502297 0.132445i 0.00271611 0.00716180i
\(343\) 9.57468 25.2463i 0.516984 1.36317i
\(344\) 2.50021 0.201838i 0.134802 0.0108824i
\(345\) 0.0695500 1.72587i 0.00374445 0.0929175i
\(346\) 6.27466 21.6626i 0.337328 1.16459i
\(347\) −1.64450 2.01415i −0.0882815 0.108125i 0.728575 0.684966i \(-0.240183\pi\)
−0.816857 + 0.576841i \(0.804285\pi\)
\(348\) −11.5623 0.933409i −0.619807 0.0500360i
\(349\) −34.2500 11.4343i −1.83336 0.612065i −0.998059 0.0622711i \(-0.980166\pi\)
−0.835300 0.549794i \(-0.814706\pi\)
\(350\) −14.8005 13.1121i −0.791119 0.700870i
\(351\) 4.24207 7.34749i 0.226425 0.392180i
\(352\) −6.11844 + 16.1330i −0.326114 + 0.859892i
\(353\) 28.1182 + 14.7576i 1.49658 + 0.785466i 0.996742 0.0806521i \(-0.0257003\pi\)
0.499839 + 0.866118i \(0.333393\pi\)
\(354\) 5.39883 11.3778i 0.286945 0.604723i
\(355\) 0.758574 0.672038i 0.0402609 0.0356681i
\(356\) 6.16232 4.63069i 0.326603 0.245426i
\(357\) −0.608299 + 2.97965i −0.0321946 + 0.157700i
\(358\) 7.50677 + 5.64097i 0.396745 + 0.298134i
\(359\) 8.51554 + 17.9461i 0.449433 + 0.947160i 0.994096 + 0.108505i \(0.0346063\pi\)
−0.544663 + 0.838655i \(0.683342\pi\)
\(360\) 0.0735316 + 0.127360i 0.00387546 + 0.00671249i
\(361\) 12.9355 1.04426i 0.680816 0.0549612i
\(362\) −1.53299 4.04218i −0.0805724 0.212452i
\(363\) −4.48860 + 0.729468i −0.235590 + 0.0382872i
\(364\) 6.07244 + 2.58723i 0.318283 + 0.135608i
\(365\) 2.25420 0.117990
\(366\) −3.93795 4.09984i −0.205840 0.214302i
\(367\) −6.98464 5.24862i −0.364595 0.273976i 0.402617 0.915368i \(-0.368101\pi\)
−0.767213 + 0.641393i \(0.778357\pi\)
\(368\) −1.50398 0.370699i −0.0784005 0.0193240i
\(369\) 0.120321 0.208402i 0.00626365 0.0108490i
\(370\) −0.0573771 + 1.42380i −0.00298289 + 0.0740197i
\(371\) −0.909773 22.5758i −0.0472331 1.17208i
\(372\) 16.1092 + 5.37803i 0.835221 + 0.278838i
\(373\) 6.65079 2.22036i 0.344365 0.114966i −0.139225 0.990261i \(-0.544461\pi\)
0.483589 + 0.875295i \(0.339333\pi\)
\(374\) 0.183981 + 1.51522i 0.00951345 + 0.0783503i
\(375\) −12.2789 + 6.44448i −0.634082 + 0.332792i
\(376\) 1.48726 + 36.9060i 0.0766996 + 1.90328i
\(377\) 2.40089 + 11.7603i 0.123652 + 0.605688i
\(378\) 12.2422 + 21.2041i 0.629672 + 1.09062i
\(379\) −4.24137 + 14.6429i −0.217865 + 0.752156i 0.774900 + 0.632083i \(0.217800\pi\)
−0.992765 + 0.120073i \(0.961687\pi\)
\(380\) 1.11185 1.61079i 0.0570366 0.0826318i
\(381\) −4.94169 17.0607i −0.253171 0.874046i
\(382\) 0.772443 0.190390i 0.0395216 0.00974120i
\(383\) −17.5503 + 4.32576i −0.896779 + 0.221036i −0.660658 0.750687i \(-0.729722\pi\)
−0.236121 + 0.971724i \(0.575876\pi\)
\(384\) 2.35322 0.785622i 0.120087 0.0400911i
\(385\) −13.3135 5.67237i −0.678521 0.289091i
\(386\) −18.4225 + 16.3209i −0.937679 + 0.830711i
\(387\) −0.0127092 + 0.0438774i −0.000646047 + 0.00223041i
\(388\) 3.33227 + 4.08130i 0.169171 + 0.207196i
\(389\) −21.4685 3.48897i −1.08850 0.176898i −0.410425 0.911894i \(-0.634620\pi\)
−0.678071 + 0.734997i \(0.737184\pi\)
\(390\) −1.75645 + 1.82866i −0.0889413 + 0.0925977i
\(391\) 0.442178 0.108987i 0.0223619 0.00551172i
\(392\) −31.6490 + 23.7827i −1.59851 + 1.20121i
\(393\) −5.09437 7.38046i −0.256977 0.372295i
\(394\) −12.1190 25.5402i −0.610545 1.28670i
\(395\) 6.11352 2.60473i 0.307605 0.131058i
\(396\) −0.139423 0.123518i −0.00700628 0.00620702i
\(397\) −27.4597 2.21678i −1.37816 0.111257i −0.630941 0.775831i \(-0.717331\pi\)
−0.747223 + 0.664574i \(0.768613\pi\)
\(398\) 18.7335 + 9.83210i 0.939025 + 0.492839i
\(399\) 10.7071 15.5119i 0.536025 0.776566i
\(400\) 1.58649 + 5.47719i 0.0793243 + 0.273859i
\(401\) −20.0037 12.6496i −0.998937 0.631689i −0.0683120 0.997664i \(-0.521761\pi\)
−0.930625 + 0.365975i \(0.880736\pi\)
\(402\) 4.06396 4.97744i 0.202692 0.248252i
\(403\) 0.707598 17.5589i 0.0352480 0.874669i
\(404\) −3.72839 + 7.85742i −0.185494 + 0.390921i
\(405\) 7.62829 1.23972i 0.379053 0.0616021i
\(406\) −32.8566 10.9691i −1.63064 0.544389i
\(407\) −1.60409 5.53795i −0.0795117 0.274506i
\(408\) 1.42975 1.48853i 0.0707833 0.0736932i
\(409\) −15.9225 + 23.0678i −0.787318 + 1.14063i 0.199674 + 0.979862i \(0.436012\pi\)
−0.986993 + 0.160765i \(0.948604\pi\)
\(410\) −2.75150 + 2.86461i −0.135887 + 0.141473i
\(411\) −17.5230 + 18.2434i −0.864346 + 0.899879i
\(412\) 9.06194 1.47271i 0.446450 0.0725552i
\(413\) −19.9105 + 24.3859i −0.979732 + 1.19995i
\(414\) 0.0377129 0.0546366i 0.00185349 0.00268524i
\(415\) 0.825260 + 0.731116i 0.0405104 + 0.0358891i
\(416\) −4.29298 6.21946i −0.210481 0.304934i
\(417\) 25.4195 26.4645i 1.24480 1.29597i
\(418\) 2.63197 9.08662i 0.128734 0.444441i
\(419\) 14.6044 4.87567i 0.713472 0.238192i 0.0633167 0.997993i \(-0.479832\pi\)
0.650155 + 0.759802i \(0.274704\pi\)
\(420\) 1.70426 + 5.88378i 0.0831593 + 0.287099i
\(421\) 12.4987 + 21.6484i 0.609151 + 1.05508i 0.991381 + 0.131013i \(0.0418228\pi\)
−0.382230 + 0.924067i \(0.624844\pi\)
\(422\) −14.6263 + 7.67646i −0.711996 + 0.373684i
\(423\) −0.638044 0.213011i −0.0310228 0.0103569i
\(424\) −7.66716 + 13.2799i −0.372350 + 0.644930i
\(425\) −1.16136 1.20910i −0.0563342 0.0586501i
\(426\) −2.04656 + 0.332598i −0.0991561 + 0.0161144i
\(427\) 7.10534 + 12.3068i 0.343852 + 0.595569i
\(428\) −1.77783 + 8.70840i −0.0859348 + 0.420937i
\(429\) 4.39809 9.26878i 0.212342 0.447501i
\(430\) 0.377001 0.652985i 0.0181806 0.0314897i
\(431\) −3.59027 0.289837i −0.172937 0.0139609i −0.00630545 0.999980i \(-0.502007\pi\)
−0.166632 + 0.986019i \(0.553289\pi\)
\(432\) 0.284316 7.05524i 0.0136792 0.339445i
\(433\) 13.6093 35.8849i 0.654023 1.72452i −0.0346045 0.999401i \(-0.511017\pi\)
0.688627 0.725115i \(-0.258214\pi\)
\(434\) 42.8632 + 27.1051i 2.05750 + 1.30109i
\(435\) −7.04490 + 8.62844i −0.337777 + 0.413702i
\(436\) 2.04751 + 10.0294i 0.0980580 + 0.480320i
\(437\) −2.78603 0.452774i −0.133274 0.0216591i
\(438\) −3.89791 2.46489i −0.186249 0.117777i
\(439\) 7.37084 + 7.67386i 0.351791 + 0.366253i 0.873461 0.486894i \(-0.161870\pi\)
−0.521670 + 0.853147i \(0.674691\pi\)
\(440\) 5.57934 + 8.08307i 0.265984 + 0.385345i
\(441\) −0.200588 0.692509i −0.00955179 0.0329766i
\(442\) −0.591953 0.310681i −0.0281563 0.0147776i
\(443\) −34.9973 5.68762i −1.66277 0.270227i −0.744922 0.667151i \(-0.767513\pi\)
−0.917851 + 0.396924i \(0.870078\pi\)
\(444\) −1.38636 + 2.00849i −0.0657939 + 0.0953189i
\(445\) −0.298051 7.39606i −0.0141290 0.350607i
\(446\) −4.80490 12.6695i −0.227518 0.599917i
\(447\) −1.39889 0.734193i −0.0661651 0.0347261i
\(448\) 33.7551 2.72500i 1.59478 0.128744i
\(449\) 2.40487 19.8059i 0.113493 0.934698i −0.819071 0.573692i \(-0.805510\pi\)
0.932564 0.361006i \(-0.117566\pi\)
\(450\) −0.243604 0.0196657i −0.0114836 0.000927052i
\(451\) 6.88966 14.5196i 0.324421 0.683703i
\(452\) −2.20958 10.8232i −0.103930 0.509083i
\(453\) 2.34248 + 2.07526i 0.110059 + 0.0975042i
\(454\) 25.0283 13.1358i 1.17463 0.616496i
\(455\) 5.35717 3.38767i 0.251148 0.158816i
\(456\) −11.7685 + 5.01409i −0.551110 + 0.234806i
\(457\) 11.7763 + 2.90261i 0.550874 + 0.135778i 0.504921 0.863165i \(-0.331522\pi\)
0.0459525 + 0.998944i \(0.485368\pi\)
\(458\) 1.52522 12.5613i 0.0712687 0.586950i
\(459\) 0.889948 + 1.87553i 0.0415392 + 0.0875420i
\(460\) 0.686629 0.608300i 0.0320142 0.0283621i
\(461\) −12.9525 + 15.8639i −0.603256 + 0.738854i −0.982463 0.186457i \(-0.940299\pi\)
0.379207 + 0.925312i \(0.376197\pi\)
\(462\) 16.8189 + 24.3664i 0.782487 + 1.13363i
\(463\) 0.664642 + 5.47382i 0.0308885 + 0.254390i 0.999971 + 0.00765186i \(0.00243569\pi\)
−0.969082 + 0.246738i \(0.920641\pi\)
\(464\) 6.31779 + 7.73789i 0.293296 + 0.359222i
\(465\) 13.0377 9.79721i 0.604610 0.454335i
\(466\) −19.4291 −0.900034
\(467\) −2.24312 18.4737i −0.103799 0.854862i −0.947876 0.318640i \(-0.896774\pi\)
0.844077 0.536222i \(-0.180149\pi\)
\(468\) 0.0792128 0.0195242i 0.00366161 0.000902507i
\(469\) −12.8416 + 9.64983i −0.592970 + 0.445588i
\(470\) 9.38402 + 5.93409i 0.432853 + 0.273719i
\(471\) −17.3415 + 18.0544i −0.799054 + 0.831903i
\(472\) 20.2667 6.76601i 0.932849 0.311431i
\(473\) −0.610241 + 2.98916i −0.0280589 + 0.137442i
\(474\) −13.4195 2.18089i −0.616379 0.100171i
\(475\) 3.68463 + 9.71556i 0.169062 + 0.445781i
\(476\) −1.36506 + 0.863209i −0.0625672 + 0.0395651i
\(477\) −0.176618 0.216318i −0.00808679 0.00990452i
\(478\) 1.45772 7.14040i 0.0666747 0.326594i
\(479\) −3.10522 + 8.18779i −0.141881 + 0.374110i −0.987055 0.160382i \(-0.948728\pi\)
0.845174 + 0.534491i \(0.179497\pi\)
\(480\) 1.95124 6.73647i 0.0890617 0.307477i
\(481\) 2.39532 + 0.799674i 0.109217 + 0.0364620i
\(482\) 10.2717 27.0844i 0.467865 1.23366i
\(483\) 6.61223 5.85793i 0.300867 0.266545i
\(484\) −1.93074 1.45086i −0.0877608 0.0659480i
\(485\) 5.04316 0.407126i 0.228998 0.0184866i
\(486\) 0.551779 + 0.235091i 0.0250292 + 0.0106640i
\(487\) −27.1346 20.3903i −1.22959 0.923973i −0.230788 0.973004i \(-0.574130\pi\)
−0.998797 + 0.0490307i \(0.984387\pi\)
\(488\) 0.388349 9.63678i 0.0175797 0.436237i
\(489\) −1.06768 + 0.356444i −0.0482822 + 0.0161190i
\(490\) 0.479176 + 11.8906i 0.0216470 + 0.537164i
\(491\) −5.94918 + 20.5389i −0.268483 + 0.926910i 0.707070 + 0.707144i \(0.250017\pi\)
−0.975553 + 0.219766i \(0.929471\pi\)
\(492\) −6.60512 + 1.62801i −0.297782 + 0.0733966i
\(493\) −2.70193 1.15119i −0.121689 0.0518468i
\(494\) 2.62051 + 3.20954i 0.117902 + 0.144404i
\(495\) −0.173670 + 0.0428059i −0.00780590 + 0.00192398i
\(496\) −6.26975 13.2132i −0.281520 0.593291i
\(497\) 5.16630 + 0.417067i 0.231740 + 0.0187080i
\(498\) −0.627569 2.16662i −0.0281221 0.0970886i
\(499\) 0.0549576 1.36376i 0.00246024 0.0610502i −0.997492 0.0707723i \(-0.977454\pi\)
0.999953 + 0.00972202i \(0.00309467\pi\)
\(500\) −6.98574 2.33218i −0.312412 0.104298i
\(501\) −7.03229 + 10.1880i −0.314180 + 0.455168i
\(502\) −20.2648 + 3.29335i −0.904462 + 0.146989i
\(503\) −28.3568 25.1219i −1.26437 1.12013i −0.987230 0.159301i \(-0.949076\pi\)
−0.277137 0.960830i \(-0.589386\pi\)
\(504\) −0.209256 + 0.722437i −0.00932102 + 0.0321799i
\(505\) 4.17581 + 7.23272i 0.185821 + 0.321852i
\(506\) 2.21689 3.83976i 0.0985526 0.170698i
\(507\) −8.90730 15.4279i −0.395587 0.685177i
\(508\) 4.71657 8.16933i 0.209264 0.362455i
\(509\) 12.5086 32.9825i 0.554435 1.46192i −0.305835 0.952085i \(-0.598936\pi\)
0.860270 0.509839i \(-0.170295\pi\)
\(510\) −0.124100 0.607882i −0.00549524 0.0269174i
\(511\) 7.98626 + 8.31457i 0.353291 + 0.367815i
\(512\) −12.8139 6.72523i −0.566298 0.297216i
\(513\) −0.518082 12.8561i −0.0228739 0.567610i
\(514\) 1.97270 0.159253i 0.0870123 0.00702436i
\(515\) 3.77941 7.96493i 0.166541 0.350977i
\(516\) 1.14345 0.600130i 0.0503377 0.0264193i
\(517\) −43.6185 10.7510i −1.91834 0.472828i
\(518\) −5.45493 + 4.83265i −0.239676 + 0.212334i
\(519\) −4.47094 36.8215i −0.196253 1.61629i
\(520\) −4.30180 −0.188646
\(521\) −25.7500 + 19.3499i −1.12813 + 0.847735i −0.989773 0.142648i \(-0.954438\pi\)
−0.138356 + 0.990383i \(0.544182\pi\)
\(522\) −0.406106 + 0.135578i −0.0177748 + 0.00593409i
\(523\) −5.83016 15.3729i −0.254935 0.672209i −0.999986 0.00520177i \(-0.998344\pi\)
0.745051 0.667007i \(-0.232425\pi\)
\(524\) 0.952670 4.66649i 0.0416176 0.203856i
\(525\) −30.8465 10.2981i −1.34625 0.449445i
\(526\) −1.08093 0.812263i −0.0471306 0.0354164i
\(527\) 3.43753 + 2.58314i 0.149741 + 0.112523i
\(528\) −0.343805 8.53143i −0.0149622 0.371283i
\(529\) 19.9425 + 8.49670i 0.867065 + 0.369422i
\(530\) 1.97604 + 4.16442i 0.0858337 + 0.180891i
\(531\) −0.0156680 + 0.388798i −0.000679934 + 0.0168724i
\(532\) 9.88047 1.60573i 0.428373 0.0696173i
\(533\) 3.51955 + 6.09604i 0.152449 + 0.264049i
\(534\) −7.57194 + 13.1150i −0.327670 + 0.567541i
\(535\) 5.91236 + 6.15542i 0.255614 + 0.266122i
\(536\) 10.8665 0.877236i 0.469362 0.0378908i
\(537\) 14.9945 + 3.69582i 0.647062 + 0.159486i
\(538\) 7.44926 0.321160
\(539\) −17.0744 45.0215i −0.735446 1.93921i
\(540\) 3.34292 + 2.51204i 0.143856 + 0.108101i
\(541\) 16.8335 + 7.17207i 0.723727 + 0.308351i 0.722235 0.691648i \(-0.243115\pi\)
0.00149200 + 0.999999i \(0.499525\pi\)
\(542\) −30.3371 + 4.93027i −1.30309 + 0.211773i
\(543\) −4.92528 5.12776i −0.211364 0.220053i
\(544\) 1.84915 0.0792816
\(545\) 9.04304 + 3.85288i 0.387361 + 0.165039i
\(546\) −12.9678 −0.554970
\(547\) −14.5025 18.3487i −0.620084 0.784535i
\(548\) −13.4342 −0.573881
\(549\) 0.161588 + 0.0688464i 0.00689642 + 0.00293829i
\(550\) −16.3221 −0.695976
\(551\) 12.6095 + 13.1279i 0.537185 + 0.559269i
\(552\) −5.91778 + 0.961732i −0.251877 + 0.0409340i
\(553\) 31.2667 + 13.3215i 1.32959 + 0.566487i
\(554\) −6.42828 4.83054i −0.273111 0.205230i
\(555\) 0.831035 + 2.19126i 0.0352755 + 0.0930138i
\(556\) 19.4882 0.826482
\(557\) 9.96566 + 2.45631i 0.422258 + 0.104077i 0.444719 0.895670i \(-0.353304\pi\)
−0.0224601 + 0.999748i \(0.507150\pi\)
\(558\) 0.624794 0.0504386i 0.0264496 0.00213524i
\(559\) −0.925639 0.963692i −0.0391503 0.0407598i
\(560\) 2.63759 4.56844i 0.111458 0.193052i
\(561\) 1.25516 + 2.17400i 0.0529929 + 0.0917863i
\(562\) 4.21103 0.684358i 0.177631 0.0288679i
\(563\) −0.292666 + 7.26243i −0.0123344 + 0.306075i 0.981233 + 0.192828i \(0.0617660\pi\)
−0.993567 + 0.113247i \(0.963875\pi\)
\(564\) 8.15191 + 17.1798i 0.343257 + 0.723399i
\(565\) −9.75884 4.15785i −0.410557 0.174922i
\(566\) −0.0405386 1.00595i −0.00170396 0.0422834i
\(567\) 31.5984 + 23.7447i 1.32701 + 0.997183i
\(568\) −2.81221 2.11324i −0.117998 0.0886694i
\(569\) 3.57785 + 1.19446i 0.149991 + 0.0500744i 0.390672 0.920530i \(-0.372243\pi\)
−0.240681 + 0.970604i \(0.577371\pi\)
\(570\) −0.769155 + 3.76757i −0.0322164 + 0.157806i
\(571\) −15.4639 40.7749i −0.647143 1.70638i −0.706096 0.708116i \(-0.749545\pi\)
0.0589531 0.998261i \(-0.481224\pi\)
\(572\) 5.16817 1.72539i 0.216092 0.0721421i
\(573\) 1.04601 0.786023i 0.0436976 0.0328366i
\(574\) −20.3142 −0.847897
\(575\) 0.587008 + 4.83445i 0.0244799 + 0.201610i
\(576\) 0.313304 0.277563i 0.0130543 0.0115651i
\(577\) −4.97945 1.22733i −0.207297 0.0510942i 0.134299 0.990941i \(-0.457122\pi\)
−0.341597 + 0.939847i \(0.610968\pi\)
\(578\) −15.5610 + 8.16703i −0.647251 + 0.339704i
\(579\) −17.3528 + 36.5703i −0.721159 + 1.51981i
\(580\) −5.89666 + 0.476028i −0.244845 + 0.0197660i
\(581\) 0.227050 + 5.63418i 0.00941961 + 0.233745i
\(582\) −9.16569 4.81052i −0.379930 0.199403i
\(583\) −12.9197 13.4509i −0.535080 0.557078i
\(584\) −1.56508 7.66629i −0.0647637 0.317233i
\(585\) 0.0277806 0.0732515i 0.00114859 0.00302858i
\(586\) 1.00486 1.74047i 0.0415105 0.0718983i
\(587\) 7.93153 + 13.7378i 0.327369 + 0.567020i 0.981989 0.188938i \(-0.0605046\pi\)
−0.654620 + 0.755958i \(0.727171\pi\)
\(588\) −10.1908 + 17.6509i −0.420259 + 0.727911i
\(589\) −13.3251 23.0798i −0.549053 0.950987i
\(590\) 1.78689 6.16906i 0.0735651 0.253976i
\(591\) −34.8010 30.8310i −1.43152 1.26822i
\(592\) 2.07446 0.337132i 0.0852596 0.0138560i
\(593\) −12.9663 + 18.7849i −0.532461 + 0.771403i −0.993236 0.116114i \(-0.962956\pi\)
0.460775 + 0.887517i \(0.347572\pi\)
\(594\) 19.1709 + 6.40017i 0.786590 + 0.262602i
\(595\) −0.0624495 + 1.54967i −0.00256018 + 0.0635302i
\(596\) −0.233434 0.805909i −0.00956185 0.0330113i
\(597\) 34.6829 + 2.79989i 1.41948 + 0.114592i
\(598\) 0.832501 + 1.75446i 0.0340435 + 0.0717451i
\(599\) 5.03355 1.24066i 0.205665 0.0506920i −0.135137 0.990827i \(-0.543147\pi\)
0.340802 + 0.940135i \(0.389301\pi\)
\(600\) 13.9587 + 17.0963i 0.569861 + 0.697953i
\(601\) 5.66565 + 2.41391i 0.231107 + 0.0984654i 0.504416 0.863461i \(-0.331708\pi\)
−0.273309 + 0.961926i \(0.588118\pi\)
\(602\) 3.74418 0.922856i 0.152601 0.0376128i
\(603\) −0.0552374 + 0.190701i −0.00224944 + 0.00776596i
\(604\) 0.0669238 + 1.66070i 0.00272309 + 0.0675728i
\(605\) −2.19981 + 0.734405i −0.0894351 + 0.0298578i
\(606\) 0.688008 17.0727i 0.0279484 0.693533i
\(607\) 7.68807 + 5.77721i 0.312049 + 0.234490i 0.745215 0.666825i \(-0.232347\pi\)
−0.433166 + 0.901314i \(0.642603\pi\)
\(608\) −10.5437 4.49224i −0.427603 0.182185i
\(609\) −56.7848 + 4.58414i −2.30103 + 0.185759i
\(610\) −2.31770 1.74164i −0.0938409 0.0705168i
\(611\) 14.7279 13.0478i 0.595827 0.527857i
\(612\) −0.00707876 + 0.0186652i −0.000286142 + 0.000754495i
\(613\) −35.9591 12.0049i −1.45237 0.484874i −0.522465 0.852661i \(-0.674987\pi\)
−0.929910 + 0.367787i \(0.880116\pi\)
\(614\) 3.52615 12.1737i 0.142304 0.491290i
\(615\) −2.31647 + 6.10804i −0.0934092 + 0.246300i
\(616\) −10.0476 + 49.2162i −0.404828 + 1.98298i
\(617\) 21.4914 + 26.3222i 0.865213 + 1.05969i 0.997651 + 0.0685020i \(0.0218219\pi\)
−0.132438 + 0.991191i \(0.542281\pi\)
\(618\) −15.2446 + 9.64012i −0.613229 + 0.387782i
\(619\) −1.63358 4.30739i −0.0656590 0.173129i 0.898171 0.439646i \(-0.144896\pi\)
−0.963830 + 0.266518i \(0.914127\pi\)
\(620\) 8.54906 + 1.38936i 0.343338 + 0.0557979i
\(621\) 1.20621 5.90841i 0.0484036 0.237096i
\(622\) −8.48958 + 2.83424i −0.340401 + 0.113643i
\(623\) 26.2243 27.3024i 1.05065 1.09385i
\(624\) 3.16078 + 1.99875i 0.126532 + 0.0800142i
\(625\) 11.2709 8.46952i 0.450836 0.338781i
\(626\) −28.5180 + 7.02906i −1.13981 + 0.280938i
\(627\) −1.87538 15.4452i −0.0748957 0.616821i
\(628\) −13.2951 −0.530531
\(629\) −0.493977 + 0.371200i −0.0196962 + 0.0148007i
\(630\) 0.142989 + 0.175130i 0.00569682 + 0.00697734i
\(631\) 1.96792 + 16.2073i 0.0783418 + 0.645203i 0.978000 + 0.208607i \(0.0668929\pi\)
−0.899658 + 0.436596i \(0.856184\pi\)
\(632\) −13.1030 18.9830i −0.521209 0.755102i
\(633\) −17.1816 + 21.0437i −0.682908 + 0.836410i
\(634\) 26.7140 23.6666i 1.06095 0.939920i
\(635\) −3.88327 8.18381i −0.154103 0.324765i
\(636\) −0.951585 + 7.83701i −0.0377328 + 0.310758i
\(637\) 20.4767 + 5.04704i 0.811315 + 0.199971i
\(638\) −26.3053 + 11.2077i −1.04144 + 0.443715i
\(639\) 0.0541454 0.0342395i 0.00214196 0.00135449i
\(640\) 1.12031 0.587981i 0.0442839 0.0232420i
\(641\) 10.5829 + 9.37559i 0.417998 + 0.370314i 0.845747 0.533584i \(-0.179155\pi\)
−0.427750 + 0.903897i \(0.640694\pi\)
\(642\) −3.49278 17.1088i −0.137849 0.675229i
\(643\) −13.4264 + 28.2955i −0.529485 + 1.11587i 0.445844 + 0.895111i \(0.352904\pi\)
−0.975329 + 0.220756i \(0.929148\pi\)
\(644\) 4.67632 + 0.377511i 0.184273 + 0.0148760i
\(645\) 0.149474 1.23103i 0.00588554 0.0484718i
\(646\) −1.01056 + 0.0815809i −0.0397600 + 0.00320976i
\(647\) 42.3580 + 22.2312i 1.66526 + 0.873997i 0.990745 + 0.135739i \(0.0433410\pi\)
0.674518 + 0.738258i \(0.264351\pi\)
\(648\) −9.51245 25.0823i −0.373684 0.985324i
\(649\) 1.04639 + 25.9660i 0.0410745 + 1.01925i
\(650\) 4.06105 5.88345i 0.159288 0.230768i
\(651\) 82.3273 + 13.3795i 3.22666 + 0.524384i
\(652\) −0.529321 0.277809i −0.0207298 0.0108798i
\(653\) 9.66813 + 33.3783i 0.378343 + 1.30619i 0.893487 + 0.449089i \(0.148251\pi\)
−0.515144 + 0.857104i \(0.672262\pi\)
\(654\) −11.4240 16.5505i −0.446714 0.647177i
\(655\) −3.16820 3.29845i −0.123792 0.128881i
\(656\) 4.95139 + 3.13107i 0.193319 + 0.122248i
\(657\) 0.140650 + 0.0228578i 0.00548727 + 0.000891768i
\(658\) 11.3582 + 55.6363i 0.442790 + 2.16893i
\(659\) 26.8017 32.8262i 1.04405 1.27873i 0.0847281 0.996404i \(-0.472998\pi\)
0.959320 0.282322i \(-0.0911047\pi\)
\(660\) 4.27369 + 2.70252i 0.166353 + 0.105195i
\(661\) −4.30233 + 11.3443i −0.167341 + 0.441242i −0.992286 0.123971i \(-0.960437\pi\)
0.824945 + 0.565213i \(0.191206\pi\)
\(662\) 0.736452 18.2749i 0.0286230 0.710273i
\(663\) −1.09593 0.0884728i −0.0425625 0.00343600i
\(664\) 1.91347 3.31423i 0.0742571 0.128617i
\(665\) 4.12078 8.68437i 0.159797 0.336765i
\(666\) −0.0180175 + 0.0882554i −0.000698162 + 0.00341983i
\(667\) 4.26565 + 7.38833i 0.165167 + 0.286077i
\(668\) −6.48938 + 1.05463i −0.251081 + 0.0408047i
\(669\) −15.4374 16.0720i −0.596844 0.621381i
\(670\) 1.63854 2.83803i 0.0633022 0.109643i
\(671\) 11.1267 + 3.71464i 0.429542 + 0.143402i
\(672\) 31.7603 16.6691i 1.22518 0.643024i
\(673\) 13.0514 + 22.6057i 0.503094 + 0.871385i 0.999994 + 0.00357665i \(0.00113848\pi\)
−0.496899 + 0.867808i \(0.665528\pi\)
\(674\) −4.99300 17.2378i −0.192323 0.663976i
\(675\) −21.0569 + 7.02981i −0.810479 + 0.270578i
\(676\) 2.63224 9.08754i 0.101240 0.349521i
\(677\) 6.29725 6.55613i 0.242023 0.251973i −0.589101 0.808059i \(-0.700518\pi\)
0.831124 + 0.556086i \(0.187698\pi\)
\(678\) 12.3283 + 17.8606i 0.473465 + 0.685932i
\(679\) 19.3688 + 17.1592i 0.743305 + 0.658510i
\(680\) 0.597941 0.866267i 0.0229300 0.0332198i
\(681\) 29.4009 36.0096i 1.12665 1.37989i
\(682\) 41.3207 6.71526i 1.58225 0.257141i
\(683\) 22.2156 23.1289i 0.850058 0.885004i −0.144466 0.989510i \(-0.546146\pi\)
0.994524 + 0.104505i \(0.0333260\pi\)
\(684\) 0.0857068 0.0892303i 0.00327708 0.00341181i
\(685\) −7.32834 + 10.6169i −0.280002 + 0.405652i
\(686\) −19.5157 + 20.3180i −0.745114 + 0.775746i
\(687\) −5.78990 19.9890i −0.220898 0.762629i
\(688\) −1.05485 0.352161i −0.0402158 0.0134260i
\(689\) 8.06302 1.31037i 0.307176 0.0499210i
\(690\) −0.772592 + 1.62820i −0.0294121 + 0.0619847i
\(691\) −0.744769 + 18.4812i −0.0283323 + 0.703060i 0.921144 + 0.389222i \(0.127256\pi\)
−0.949476 + 0.313838i \(0.898385\pi\)
\(692\) 12.4586 15.2590i 0.473603 0.580058i
\(693\) −0.773174 0.488925i −0.0293704 0.0185727i
\(694\) 0.754815 + 2.60592i 0.0286524 + 0.0989195i
\(695\) 10.6308 15.4013i 0.403248 0.584205i
\(696\) 34.2357 + 17.9683i 1.29770 + 0.681085i
\(697\) −1.71679 0.138593i −0.0650280 0.00524960i
\(698\) 28.2000 + 24.9830i 1.06739 + 0.945621i
\(699\) −29.3971 + 12.5249i −1.11190 + 0.473736i
\(700\) −7.40394 15.6035i −0.279842 0.589756i
\(701\) 7.70183 + 11.1580i 0.290894 + 0.421433i 0.940998 0.338413i \(-0.109890\pi\)
−0.650104 + 0.759846i \(0.725275\pi\)
\(702\) −7.07685 + 5.31791i −0.267099 + 0.200712i
\(703\) 3.71839 0.916501i 0.140242 0.0345665i
\(704\) 19.3646 20.1607i 0.729831 0.759834i
\(705\) 18.0239 + 2.92916i 0.678818 + 0.110319i
\(706\) −20.9550 25.6653i −0.788653 0.965925i
\(707\) −11.8835 + 41.0267i −0.446926 + 1.54297i
\(708\) 8.23361 7.29434i 0.309438 0.274138i
\(709\) 21.1531 + 9.01251i 0.794423 + 0.338472i 0.750761 0.660574i \(-0.229687\pi\)
0.0436622 + 0.999046i \(0.486097\pi\)
\(710\) −1.00300 + 0.334849i −0.0376417 + 0.0125667i
\(711\) 0.407862 0.100529i 0.0152960 0.00377013i
\(712\) −24.9463 + 6.14870i −0.934901 + 0.230432i
\(713\) −3.47506 11.9973i −0.130142 0.449302i
\(714\) 1.80249 2.61136i 0.0674567 0.0977278i
\(715\) 1.45567 5.02555i 0.0544389 0.187945i
\(716\) 4.10085 + 7.10289i 0.153256 + 0.265447i
\(717\) −2.39745 11.7435i −0.0895344 0.438568i
\(718\) −0.834543 20.7090i −0.0311449 0.772852i
\(719\) −32.4683 + 17.0407i −1.21086 + 0.635510i −0.944547 0.328376i \(-0.893499\pi\)
−0.266315 + 0.963886i \(0.585806\pi\)
\(720\) −0.00785910 0.0647255i −0.000292891 0.00241218i
\(721\) 42.7683 14.2782i 1.59277 0.531746i
\(722\) −12.8438 4.28788i −0.477996 0.159579i
\(723\) −1.91828 47.6016i −0.0713415 1.77032i
\(724\) 0.152045 3.77296i 0.00565071 0.140221i
\(725\) 15.7032 27.1987i 0.583201 1.01013i
\(726\) 4.60691 + 1.13550i 0.170978 + 0.0421424i
\(727\) 3.02359 + 2.27208i 0.112139 + 0.0842667i 0.655332 0.755341i \(-0.272529\pi\)
−0.543194 + 0.839607i \(0.682785\pi\)
\(728\) −15.2406 15.8671i −0.564853 0.588074i
\(729\) 27.4794 1.01775
\(730\) −2.16379 0.921905i −0.0800855 0.0341212i
\(731\) 0.322724 0.0524477i 0.0119364 0.00193985i
\(732\) −1.76073 4.64267i −0.0650785 0.171598i
\(733\) 44.0409 3.55535i 1.62669 0.131320i 0.766830 0.641851i \(-0.221833\pi\)
0.859860 + 0.510531i \(0.170551\pi\)
\(734\) 4.55797 + 7.89464i 0.168238 + 0.291396i
\(735\) 8.39030 + 17.6822i 0.309481 + 0.652217i
\(736\) −4.29416 3.22685i −0.158285 0.118943i
\(737\) −2.65225 + 12.9916i −0.0976970 + 0.478552i
\(738\) −0.200726 + 0.150836i −0.00738882 + 0.00555234i
\(739\) −9.19909 + 8.14968i −0.338394 + 0.299791i −0.815156 0.579242i \(-0.803349\pi\)
0.476762 + 0.879032i \(0.341810\pi\)
\(740\) −0.533563 + 1.12446i −0.0196142 + 0.0413359i
\(741\) 6.03398 + 3.16687i 0.221664 + 0.116338i
\(742\) −8.35959 + 22.0424i −0.306890 + 0.809203i
\(743\) −5.81770 + 10.0766i −0.213431 + 0.369673i −0.952786 0.303643i \(-0.901797\pi\)
0.739355 + 0.673316i \(0.235130\pi\)
\(744\) −42.3713 37.5377i −1.55341 1.37620i
\(745\) −0.764240 0.255141i −0.0279996 0.00934764i
\(746\) −7.29212 0.588680i −0.266983 0.0215531i
\(747\) 0.0440781 + 0.0539859i 0.00161273 + 0.00197524i
\(748\) −0.370918 + 1.28056i −0.0135621 + 0.0468218i
\(749\) −1.75764 + 43.6153i −0.0642226 + 1.59367i
\(750\) 14.4221 1.16427i 0.526620 0.0425132i
\(751\) 4.35008 11.4702i 0.158737 0.418555i −0.831927 0.554886i \(-0.812762\pi\)
0.990663 + 0.136331i \(0.0435312\pi\)
\(752\) 5.80689 15.3115i 0.211756 0.558353i
\(753\) −28.5385 + 18.0467i −1.04000 + 0.657657i
\(754\) 2.50505 12.2706i 0.0912286 0.446867i
\(755\) 1.34894 + 0.853018i 0.0490930 + 0.0310445i
\(756\) 2.57779 + 21.2300i 0.0937534 + 0.772129i
\(757\) −26.1173 31.9879i −0.949249 1.16262i −0.986574 0.163315i \(-0.947781\pi\)
0.0373253 0.999303i \(-0.488116\pi\)
\(758\) 10.0598 12.3210i 0.365389 0.447520i
\(759\) 0.878955 7.23885i 0.0319040 0.262753i
\(760\) −5.51388 + 3.48677i −0.200009 + 0.126478i
\(761\) 9.60389 + 47.0430i 0.348141 + 1.70531i 0.656743 + 0.754115i \(0.271934\pi\)
−0.308602 + 0.951191i \(0.599861\pi\)
\(762\) −2.23386 + 18.3975i −0.0809241 + 0.666470i
\(763\) 17.8267 + 47.0052i 0.645370 + 1.70170i
\(764\) 0.685885 + 0.111467i 0.0248144 + 0.00403274i
\(765\) 0.0108895 + 0.0157761i 0.000393709 + 0.000570386i
\(766\) 18.6155 + 3.02532i 0.672607 + 0.109309i
\(767\) −9.62003 6.08334i −0.347359 0.219657i
\(768\) −28.4634 2.29781i −1.02709 0.0829149i
\(769\) −3.25824 + 15.9599i −0.117495 + 0.575529i 0.877832 + 0.478969i \(0.158989\pi\)
−0.995327 + 0.0965605i \(0.969216\pi\)
\(770\) 10.4597 + 10.8897i 0.376943 + 0.392439i
\(771\) 2.88213 1.51266i 0.103797 0.0544771i
\(772\) −20.3912 + 6.80758i −0.733895 + 0.245010i
\(773\) 12.1910 + 17.6618i 0.438481 + 0.635249i 0.978462 0.206428i \(-0.0661839\pi\)
−0.539981 + 0.841677i \(0.681569\pi\)
\(774\) 0.0301441 0.0369199i 0.00108351 0.00132706i
\(775\) −31.8523 + 33.1617i −1.14417 + 1.19120i
\(776\) −4.88604 16.8686i −0.175399 0.605547i
\(777\) −5.13820 + 10.8285i −0.184332 + 0.388471i
\(778\) 19.1806 + 12.1291i 0.687656 + 0.434848i
\(779\) 9.45228 + 4.96094i 0.338663 + 0.177744i
\(780\) −2.03747 + 0.868087i −0.0729533 + 0.0310825i
\(781\) 3.42039 2.57025i 0.122391 0.0919709i
\(782\) −0.469017 0.0762226i −0.0167720 0.00272572i
\(783\) −29.1090 + 25.7884i −1.04027 + 0.921600i
\(784\) 17.0418 4.20042i 0.608635 0.150015i
\(785\) −7.25244 + 10.5070i −0.258851 + 0.375010i
\(786\) 1.87164 + 9.16791i 0.0667593 + 0.327009i
\(787\) 1.27749 + 10.5211i 0.0455376 + 0.375036i 0.997606 + 0.0691514i \(0.0220291\pi\)
−0.952069 + 0.305885i \(0.901048\pi\)
\(788\) −0.994251 24.6721i −0.0354187 0.878907i
\(789\) −2.15912 0.532174i −0.0768666 0.0189459i
\(790\) −6.93359 −0.246686
\(791\) −19.2378 50.7259i −0.684017 1.80360i
\(792\) 0.266157 + 0.560914i 0.00945748 + 0.0199312i
\(793\) −4.10738 + 3.08650i −0.145857 + 0.109605i
\(794\) 25.4518 + 13.3581i 0.903251 + 0.474063i
\(795\) 5.67443 + 5.02710i 0.201251 + 0.178293i
\(796\) 11.6873 + 14.3143i 0.414245 + 0.507358i
\(797\) −32.4919 + 2.62302i −1.15092 + 0.0929121i −0.641163 0.767404i \(-0.721548\pi\)
−0.509760 + 0.860317i \(0.670266\pi\)
\(798\) −16.6216 + 10.5109i −0.588398 + 0.372081i
\(799\) 0.580327 + 4.77942i 0.0205305 + 0.169084i
\(800\) −2.38348 + 19.6297i −0.0842688 + 0.694016i
\(801\) 0.0564000 0.464496i 0.00199280 0.0164122i
\(802\) 14.0281 + 20.3232i 0.495349 + 0.717637i
\(803\) 9.48571 + 0.765766i 0.334743 + 0.0270233i
\(804\) 4.96972 2.60831i 0.175268 0.0919880i
\(805\) 2.84927 3.48972i 0.100423 0.122996i
\(806\) −7.86030 + 16.5652i −0.276867 + 0.583486i
\(807\) 11.2711 4.80215i 0.396760 0.169044i
\(808\) 21.6984 19.2231i 0.763349 0.676268i
\(809\) 6.30985 + 30.9077i 0.221842 + 1.08666i 0.926264 + 0.376874i \(0.123001\pi\)
−0.704422 + 0.709781i \(0.748794\pi\)
\(810\) −7.82935 1.92976i −0.275095 0.0678049i
\(811\) −19.4330 40.9542i −0.682385 1.43810i −0.888177 0.459501i \(-0.848028\pi\)
0.205792 0.978596i \(-0.434023\pi\)
\(812\) −22.6467 20.0632i −0.794744 0.704081i
\(813\) −42.7232 + 27.0165i −1.49837 + 0.947511i
\(814\) −0.725116 + 5.97187i −0.0254153 + 0.209314i
\(815\) −0.508293 + 0.266773i −0.0178047 + 0.00934465i
\(816\) −0.841837 + 0.358673i −0.0294702 + 0.0125561i
\(817\) −1.96756 0.484959i −0.0688361 0.0169666i
\(818\) 24.7180 15.6307i 0.864245 0.546515i
\(819\) 0.368609 0.157050i 0.0128802 0.00548776i
\(820\) −3.19172 + 1.35987i −0.111460 + 0.0474886i
\(821\) 6.72003 2.86314i 0.234531 0.0999242i −0.271504 0.962437i \(-0.587521\pi\)
0.506035 + 0.862513i \(0.331111\pi\)
\(822\) 24.2812 10.3453i 0.846905 0.360833i
\(823\) 3.77344 2.38618i 0.131534 0.0831769i −0.467078 0.884216i \(-0.654693\pi\)
0.598612 + 0.801039i \(0.295719\pi\)
\(824\) −29.7119 7.32333i −1.03506 0.255120i
\(825\) −24.6961 + 10.5220i −0.859807 + 0.366329i
\(826\) 29.0851 15.2651i 1.01200 0.531139i
\(827\) −3.36855 + 27.7425i −0.117136 + 0.964702i 0.809077 + 0.587702i \(0.199967\pi\)
−0.926213 + 0.377000i \(0.876956\pi\)
\(828\) 0.0490101 0.0309921i 0.00170322 0.00107705i
\(829\) −9.46733 8.38732i −0.328814 0.291304i 0.482522 0.875884i \(-0.339721\pi\)
−0.811336 + 0.584580i \(0.801259\pi\)
\(830\) −0.493155 1.03930i −0.0171177 0.0360747i
\(831\) −12.8403 3.16485i −0.445424 0.109787i
\(832\) 2.44906 + 11.9963i 0.0849058 + 0.415896i
\(833\) −3.86255 + 3.42192i −0.133830 + 0.118563i
\(834\) −35.2232 + 15.0072i −1.21968 + 0.519657i
\(835\) −2.70648 + 5.70379i −0.0936617 + 0.197388i
\(836\) 5.22587 6.40053i 0.180741 0.221367i
\(837\) 50.4149 26.4598i 1.74259 0.914584i
\(838\) −16.0127 1.29268i −0.553149 0.0446548i
\(839\) 5.99354 + 8.68314i 0.206920 + 0.299775i 0.912679 0.408676i \(-0.134009\pi\)
−0.705760 + 0.708451i \(0.749394\pi\)
\(840\) 2.46108 20.2688i 0.0849153 0.699340i
\(841\) 3.13617 25.8287i 0.108144 0.890644i
\(842\) −3.14383 25.8918i −0.108344 0.892291i
\(843\) 5.93031 3.75010i 0.204251 0.129160i
\(844\) −14.3812 + 1.16097i −0.495021 + 0.0399622i
\(845\) −5.74591 7.03747i −0.197665 0.242096i
\(846\) 0.525339 + 0.465410i 0.0180615 + 0.0160011i
\(847\) −10.5024 5.51209i −0.360867 0.189398i
\(848\) 5.43503 4.08416i 0.186640 0.140251i
\(849\) −0.709824 1.49592i −0.0243611 0.0513399i
\(850\) 0.620292 + 1.63557i 0.0212758 + 0.0560997i
\(851\) 1.79489 0.0615281
\(852\) −1.75840 0.433406i −0.0602417 0.0148482i
\(853\) −2.20749 54.7784i −0.0755831 1.87558i −0.382658 0.923890i \(-0.624991\pi\)
0.307075 0.951685i \(-0.400650\pi\)
\(854\) −1.78722 14.7191i −0.0611576 0.503678i
\(855\) −0.0237649 0.116408i −0.000812743 0.00398108i
\(856\) 16.8290 24.3810i 0.575203 0.833326i
\(857\) −19.1125 + 4.71080i −0.652869 + 0.160918i −0.551820 0.833964i \(-0.686066\pi\)
−0.101050 + 0.994881i \(0.532220\pi\)
\(858\) −8.01237 + 7.09834i −0.273538 + 0.242333i
\(859\) −19.5564 3.17823i −0.667256 0.108440i −0.182658 0.983176i \(-0.558470\pi\)
−0.484598 + 0.874737i \(0.661034\pi\)
\(860\) 0.526500 0.395639i 0.0179535 0.0134912i
\(861\) −30.7363 + 13.0955i −1.04749 + 0.446294i
\(862\) 3.32774 + 1.74653i 0.113343 + 0.0594872i
\(863\) 9.73260 + 6.15452i 0.331302 + 0.209502i 0.689751 0.724047i \(-0.257720\pi\)
−0.358449 + 0.933549i \(0.616694\pi\)
\(864\) 10.4967 22.1212i 0.357103 0.752579i
\(865\) −5.26289 18.1696i −0.178944 0.617785i
\(866\) −27.7394 + 28.8798i −0.942624 + 0.981375i
\(867\) −18.2796 + 22.3885i −0.620809 + 0.760352i
\(868\) 25.1633 + 36.4553i 0.854097 + 1.23737i
\(869\) 26.6106 8.88393i 0.902704 0.301367i
\(870\) 10.2911 5.40121i 0.348903 0.183118i
\(871\) −4.02305 4.18843i −0.136316 0.141920i
\(872\) 6.82467 33.4294i 0.231112 1.13206i
\(873\) 0.318794 + 0.0257357i 0.0107895 + 0.000871021i
\(874\) 2.48912 + 1.57402i 0.0841957 + 0.0532422i
\(875\) −35.7013 5.80202i −1.20692 0.196144i
\(876\) −2.28830 3.31518i −0.0773146 0.112010i
\(877\) −2.38391 0.387423i −0.0804989 0.0130823i 0.120028 0.992770i \(-0.461701\pi\)
−0.200527 + 0.979688i \(0.564266\pi\)
\(878\) −3.93683 10.3806i −0.132861 0.350327i
\(879\) 0.398410 3.28120i 0.0134380 0.110672i
\(880\) −0.871004 4.26646i −0.0293615 0.143822i
\(881\) 13.2861 8.40161i 0.447619 0.283057i −0.291577 0.956547i \(-0.594180\pi\)
0.739196 + 0.673490i \(0.235206\pi\)
\(882\) −0.0906742 + 0.746769i −0.00305316 + 0.0251450i
\(883\) −20.0281 + 24.5300i −0.674001 + 0.825501i −0.992477 0.122430i \(-0.960931\pi\)
0.318476 + 0.947931i \(0.396829\pi\)
\(884\) −0.369302 0.452313i −0.0124210 0.0152129i
\(885\) −1.27323 10.4860i −0.0427992 0.352483i
\(886\) 31.2676 + 19.7724i 1.05046 + 0.664268i
\(887\) 0.576250 2.82266i 0.0193486 0.0947756i −0.968970 0.247179i \(-0.920496\pi\)
0.988318 + 0.152404i \(0.0487014\pi\)
\(888\) 6.87526 4.34765i 0.230718 0.145898i
\(889\) 16.4281 43.3173i 0.550980 1.45281i
\(890\) −2.73869 + 7.22132i −0.0918010 + 0.242059i
\(891\) 32.5211 2.62537i 1.08950 0.0879534i
\(892\) 0.476558 11.8257i 0.0159564 0.395953i
\(893\) 8.30195 28.6617i 0.277814 0.959126i
\(894\) 1.04252 + 1.27685i 0.0348670 + 0.0427044i
\(895\) 7.85035 + 0.633746i 0.262408 + 0.0211838i
\(896\) 6.13781 + 2.04910i 0.205050 + 0.0684557i
\(897\) 2.39062 + 2.11791i 0.0798205 + 0.0707148i
\(898\) −10.4085 + 18.0280i −0.347336 + 0.601603i
\(899\) −28.5637 + 75.3164i −0.952654 + 2.51194i
\(900\) −0.189017 0.0992037i −0.00630056 0.00330679i
\(901\) −0.856869 + 1.80581i −0.0285465 + 0.0601604i
\(902\) −12.5515 + 11.1196i −0.417918 + 0.370243i
\(903\) 5.07019 3.81000i 0.168725 0.126789i
\(904\) −7.36487 + 36.0755i −0.244952 + 1.19985i
\(905\) −2.89880 2.17830i −0.0963592 0.0724093i
\(906\) −1.39981 2.95004i −0.0465056 0.0980084i
\(907\) 28.4168 + 49.2194i 0.943565 + 1.63430i 0.758599 + 0.651558i \(0.225884\pi\)
0.184966 + 0.982745i \(0.440782\pi\)
\(908\) 24.6089 1.98663i 0.816674 0.0659288i
\(909\) 0.187207 + 0.493625i 0.00620928 + 0.0163725i
\(910\) −6.52777 + 1.06087i −0.216394 + 0.0351674i
\(911\) −23.2396 9.90145i −0.769961 0.328050i −0.0289836 0.999580i \(-0.509227\pi\)
−0.740977 + 0.671530i \(0.765637\pi\)
\(912\) 5.67143 0.187800
\(913\) 3.22434 + 3.35689i 0.106710 + 0.111097i
\(914\) −10.1169 7.60239i −0.334639 0.251465i
\(915\) −4.62953 1.14108i −0.153048 0.0377228i
\(916\) 5.52613 9.57153i 0.182588 0.316252i
\(917\) 0.941848 23.3717i 0.0311025 0.771802i
\(918\) −0.0872170 2.16427i −0.00287859 0.0714315i
\(919\) 41.0005 + 13.6880i 1.35248 + 0.451524i 0.898299 0.439384i \(-0.144803\pi\)
0.454182 + 0.890909i \(0.349932\pi\)
\(920\) −2.90024 + 0.968241i −0.0956179 + 0.0319220i
\(921\) −2.51252 20.6925i −0.0827904 0.681840i
\(922\) 18.9209 9.93043i 0.623125 0.327041i
\(923\) 0.0754555 + 1.87241i 0.00248365 + 0.0616311i
\(924\) 5.17279 + 25.3380i 0.170172 + 0.833559i
\(925\) −3.30377 5.72231i −0.108627 0.188148i
\(926\) 1.60066 5.52610i 0.0526008 0.181599i
\(927\) 0.316579 0.458644i 0.0103978 0.0150639i
\(928\) 9.63756 + 33.2727i 0.316369 + 1.09223i
\(929\) 13.2686 3.27042i 0.435329 0.107299i −0.0155599 0.999879i \(-0.504953\pi\)
0.450889 + 0.892580i \(0.351107\pi\)
\(930\) −16.5216 + 4.07221i −0.541765 + 0.133533i
\(931\) 30.3370 10.1280i 0.994255 0.331931i
\(932\) −15.6124 6.65181i −0.511400 0.217887i
\(933\) −11.0180 + 9.76113i −0.360714 + 0.319565i
\(934\) −5.40209 + 18.6502i −0.176762 + 0.610252i
\(935\) 0.809677 + 0.991674i 0.0264793 + 0.0324312i
\(936\) −0.268409 0.0436207i −0.00877321 0.00142579i
\(937\) 11.9972 12.4905i 0.391933 0.408046i −0.495776 0.868450i \(-0.665116\pi\)
0.887709 + 0.460405i \(0.152296\pi\)
\(938\) 16.2731 4.01095i 0.531335 0.130962i
\(939\) −38.6178 + 29.0194i −1.26024 + 0.947012i
\(940\) 5.50898 + 7.98113i 0.179683 + 0.260316i
\(941\) 13.5505 + 28.5571i 0.441735 + 0.930936i 0.995181 + 0.0980513i \(0.0312609\pi\)
−0.553447 + 0.832885i \(0.686688\pi\)
\(942\) 24.0297 10.2381i 0.782931 0.333576i
\(943\) 3.74493 + 3.31772i 0.121952 + 0.108040i
\(944\) −9.44208 0.762243i −0.307313 0.0248089i
\(945\) 18.1841 + 9.54374i 0.591528 + 0.310458i
\(946\) 1.80825 2.61970i 0.0587913 0.0851738i
\(947\) −4.87974 16.8468i −0.158570 0.547447i −0.999975 0.00704259i \(-0.997758\pi\)
0.841405 0.540405i \(-0.181729\pi\)
\(948\) −10.0367 6.34683i −0.325977 0.206135i
\(949\) −2.63614 + 3.22869i −0.0855728 + 0.104808i
\(950\) 0.436547 10.8328i 0.0141635 0.351463i
\(951\) 25.1630 53.0298i 0.815965 1.71961i
\(952\) 5.31362 0.863547i 0.172215 0.0279877i
\(953\) −35.7132 11.9228i −1.15686 0.386218i −0.327458 0.944866i \(-0.606192\pi\)
−0.829405 + 0.558648i \(0.811320\pi\)
\(954\) 0.0810665 + 0.279874i 0.00262462 + 0.00906126i
\(955\) 0.462240 0.481243i 0.0149577 0.0155727i
\(956\) 3.61598 5.23865i 0.116949 0.169430i
\(957\) −32.5762 + 33.9154i −1.05304 + 1.09633i
\(958\) 6.32926 6.58945i 0.204489 0.212896i
\(959\) −65.1235 + 10.5836i −2.10295 + 0.341762i
\(960\) −7.18625 + 8.80155i −0.231935 + 0.284069i
\(961\) 49.3832 71.5439i 1.59301 2.30787i
\(962\) −1.97220 1.74722i −0.0635864 0.0563327i
\(963\) 0.306483 + 0.444017i 0.00987626 + 0.0143082i
\(964\) 17.5266 18.2472i 0.564495 0.587702i
\(965\) −5.74339 + 19.8285i −0.184886 + 0.638302i
\(966\) −8.74276 + 2.91876i −0.281294 + 0.0939097i
\(967\) 12.3230 + 42.5438i 0.396280 + 1.36812i 0.872424 + 0.488749i \(0.162547\pi\)
−0.476145 + 0.879367i \(0.657966\pi\)
\(968\) 4.02496 + 6.97143i 0.129367 + 0.224070i
\(969\) −1.47643 + 0.774892i −0.0474299 + 0.0248931i
\(970\) −5.00740 1.67172i −0.160778 0.0536755i
\(971\) −8.73158 + 15.1235i −0.280210 + 0.485338i −0.971436 0.237301i \(-0.923737\pi\)
0.691226 + 0.722638i \(0.257071\pi\)
\(972\) 0.362900 + 0.377819i 0.0116400 + 0.0121185i
\(973\) 94.4705 15.3529i 3.02858 0.492193i
\(974\) 17.7072 + 30.6698i 0.567376 + 0.982724i
\(975\) 2.35180 11.5199i 0.0753179 0.368932i
\(976\) −1.83307 + 3.86312i −0.0586752 + 0.123655i
\(977\) 19.6605 34.0529i 0.628994 1.08945i −0.358760 0.933430i \(-0.616800\pi\)
0.987754 0.156020i \(-0.0498664\pi\)
\(978\) 1.17064 + 0.0945034i 0.0374328 + 0.00302189i
\(979\) 1.25828 31.2240i 0.0402149 0.997923i
\(980\) −3.68588 + 9.71886i −0.117741 + 0.310458i
\(981\) 0.525167 + 0.332096i 0.0167673 + 0.0106030i
\(982\) 14.1104 17.2821i 0.450282 0.551495i
\(983\) −8.39505 41.1217i −0.267760 1.31158i −0.861844 0.507174i \(-0.830690\pi\)
0.594083 0.804404i \(-0.297515\pi\)
\(984\) 22.3811 + 3.63728i 0.713484 + 0.115952i
\(985\) −20.0405 12.6728i −0.638543 0.403790i
\(986\) 2.12277 + 2.21003i 0.0676026 + 0.0703818i
\(987\) 53.0514 + 76.8582i 1.68865 + 2.44642i
\(988\) 1.00690 + 3.47622i 0.0320337 + 0.110593i
\(989\) −0.840963 0.441372i −0.0267411 0.0140348i
\(990\) 0.184211 + 0.0299373i 0.00585462 + 0.000951469i
\(991\) −18.4740 + 26.7643i −0.586847 + 0.850195i −0.998118 0.0613181i \(-0.980470\pi\)
0.411271 + 0.911513i \(0.365085\pi\)
\(992\) −2.04213 50.6749i −0.0648377 1.60893i
\(993\) −10.6666 28.1255i −0.338494 0.892535i
\(994\) −4.78853 2.51321i −0.151883 0.0797143i
\(995\) 17.6879 1.42791i 0.560743 0.0452679i
\(996\) 0.237485 1.95586i 0.00752499 0.0619738i
\(997\) 17.9481 + 1.44892i 0.568422 + 0.0458878i 0.361337 0.932435i \(-0.382320\pi\)
0.207085 + 0.978323i \(0.433602\pi\)
\(998\) −0.610493 + 1.28659i −0.0193248 + 0.0407262i
\(999\) 1.63658 + 8.01652i 0.0517792 + 0.253631i
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 547.2.j.a.11.16 1080
547.199 even 39 inner 547.2.j.a.199.16 yes 1080
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
547.2.j.a.11.16 1080 1.1 even 1 trivial
547.2.j.a.199.16 yes 1080 547.199 even 39 inner