Properties

Label 380.2.bj.a.23.8
Level $380$
Weight $2$
Character 380.23
Analytic conductor $3.034$
Analytic rank $0$
Dimension $672$
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] = [380,2,Mod(23,380)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(380, base_ring=CyclotomicField(36))
 
chi = DirichletCharacter(H, H._module([18, 27, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("380.23");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 380.bj (of order \(36\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.03431527681\)
Analytic rank: \(0\)
Dimension: \(672\)
Relative dimension: \(56\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 23.8
Character \(\chi\) \(=\) 380.23
Dual form 380.2.bj.a.347.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.31289 - 0.525665i) q^{2} +(1.78355 + 1.24886i) q^{3} +(1.44735 + 1.38028i) q^{4} +(-1.31769 + 1.80657i) q^{5} +(-1.68512 - 2.57716i) q^{6} +(-4.05211 + 1.08576i) q^{7} +(-1.17465 - 2.57297i) q^{8} +(0.595352 + 1.63572i) q^{9} +O(q^{10})\) \(q+(-1.31289 - 0.525665i) q^{2} +(1.78355 + 1.24886i) q^{3} +(1.44735 + 1.38028i) q^{4} +(-1.31769 + 1.80657i) q^{5} +(-1.68512 - 2.57716i) q^{6} +(-4.05211 + 1.08576i) q^{7} +(-1.17465 - 2.57297i) q^{8} +(0.595352 + 1.63572i) q^{9} +(2.67963 - 1.67916i) q^{10} +(0.636513 - 0.367491i) q^{11} +(0.857659 + 4.26933i) q^{12} +(-3.61545 + 2.53156i) q^{13} +(5.89071 + 0.704570i) q^{14} +(-4.60631 + 1.57650i) q^{15} +(0.189663 + 3.99550i) q^{16} +(-3.04089 + 1.41799i) q^{17} +(0.0782073 - 2.46047i) q^{18} +(-2.00344 - 3.87121i) q^{19} +(-4.40073 + 0.795965i) q^{20} +(-8.58310 - 3.12399i) q^{21} +(-1.02885 + 0.147882i) q^{22} +(7.79780 - 0.682219i) q^{23} +(1.11823 - 6.05600i) q^{24} +(-1.52739 - 4.76100i) q^{25} +(6.07743 - 1.42315i) q^{26} +(0.709658 - 2.64848i) q^{27} +(-7.36348 - 4.02156i) q^{28} +(2.65230 + 7.28713i) q^{29} +(6.87628 + 0.351602i) q^{30} +(-2.23860 - 1.29246i) q^{31} +(1.85129 - 5.34535i) q^{32} +(1.59420 + 0.139474i) q^{33} +(4.73774 - 0.263175i) q^{34} +(3.37793 - 8.75111i) q^{35} +(-1.39606 + 3.18921i) q^{36} +(-4.73432 + 4.73432i) q^{37} +(0.595338 + 6.13560i) q^{38} -9.60989 q^{39} +(6.19608 + 1.26830i) q^{40} +(1.21984 + 6.91803i) q^{41} +(9.62648 + 8.61329i) q^{42} +(-0.898247 + 10.2670i) q^{43} +(1.42850 + 0.346676i) q^{44} +(-3.73952 - 1.07982i) q^{45} +(-10.5963 - 3.20335i) q^{46} +(-1.71365 - 0.799087i) q^{47} +(-4.65153 + 7.36304i) q^{48} +(9.17854 - 5.29923i) q^{49} +(-0.497401 + 7.05355i) q^{50} +(-7.19444 - 1.26857i) q^{51} +(-8.72709 - 1.32626i) q^{52} +(0.729246 + 8.33532i) q^{53} +(-2.32391 + 3.10412i) q^{54} +(-0.174829 + 1.63414i) q^{55} +(7.55344 + 9.15059i) q^{56} +(1.26134 - 9.40650i) q^{57} +(0.348414 - 10.9614i) q^{58} +(5.52905 + 2.01241i) q^{59} +(-8.84297 - 4.07623i) q^{60} +(5.21429 + 4.37531i) q^{61} +(2.25963 + 2.87360i) q^{62} +(-4.18842 - 5.98169i) q^{63} +(-5.24039 + 6.04469i) q^{64} +(0.190595 - 9.86737i) q^{65} +(-2.01969 - 1.02113i) q^{66} +(3.86215 + 1.80095i) q^{67} +(-6.35846 - 2.14494i) q^{68} +(14.7598 + 8.52155i) q^{69} +(-9.03499 + 9.71358i) q^{70} +(1.55696 + 1.85551i) q^{71} +(3.50932 - 3.45322i) q^{72} +(-2.94518 + 4.20615i) q^{73} +(8.70430 - 3.72697i) q^{74} +(3.22163 - 10.3990i) q^{75} +(2.44366 - 8.36831i) q^{76} +(-2.18021 + 2.18021i) q^{77} +(12.6167 + 5.05158i) q^{78} +(-0.591642 - 3.35537i) q^{79} +(-7.46807 - 4.92219i) q^{80} +(8.57362 - 7.19412i) q^{81} +(2.03506 - 9.72383i) q^{82} +(0.616624 + 2.30127i) q^{83} +(-8.11080 - 16.3686i) q^{84} +(1.44525 - 7.36205i) q^{85} +(6.57630 - 13.0073i) q^{86} +(-4.37006 + 16.3093i) q^{87} +(-1.69323 - 1.20606i) q^{88} +(-2.79224 - 0.492347i) q^{89} +(4.34195 + 3.38342i) q^{90} +(11.9015 - 14.1837i) q^{91} +(12.2278 + 9.77572i) q^{92} +(-2.37857 - 5.10085i) q^{93} +(1.82978 + 1.94992i) q^{94} +(9.63351 + 1.48170i) q^{95} +(9.97743 - 7.22171i) q^{96} +(1.00171 - 0.467106i) q^{97} +(-14.8360 + 2.13247i) q^{98} +(0.980060 + 0.822368i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 672 q - 12 q^{2} - 24 q^{5} - 36 q^{6} - 6 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 672 q - 12 q^{2} - 24 q^{5} - 36 q^{6} - 6 q^{8} - 12 q^{10} - 6 q^{12} - 24 q^{13} - 36 q^{16} - 24 q^{17} - 24 q^{18} + 36 q^{20} - 48 q^{21} - 24 q^{22} - 24 q^{25} - 60 q^{26} - 24 q^{28} - 6 q^{30} + 18 q^{32} - 60 q^{33} + 24 q^{36} - 48 q^{37} - 114 q^{38} - 42 q^{40} - 24 q^{41} - 48 q^{42} - 12 q^{45} - 12 q^{46} - 96 q^{48} - 6 q^{50} - 12 q^{52} - 24 q^{53} - 48 q^{56} - 24 q^{57} + 120 q^{58} - 12 q^{60} - 48 q^{61} + 36 q^{62} - 12 q^{65} - 96 q^{66} - 6 q^{68} - 12 q^{70} + 120 q^{72} - 24 q^{73} - 96 q^{76} - 360 q^{77} - 126 q^{78} + 48 q^{80} - 48 q^{81} + 228 q^{82} - 24 q^{85} - 132 q^{86} - 102 q^{88} + 78 q^{90} + 108 q^{92} - 60 q^{93} - 144 q^{96} - 24 q^{97} + 18 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(e\left(\frac{3}{4}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.31289 0.525665i −0.928352 0.371701i
\(3\) 1.78355 + 1.24886i 1.02973 + 0.721027i 0.960983 0.276607i \(-0.0892100\pi\)
0.0687501 + 0.997634i \(0.478099\pi\)
\(4\) 1.44735 + 1.38028i 0.723677 + 0.690139i
\(5\) −1.31769 + 1.80657i −0.589289 + 0.807922i
\(6\) −1.68512 2.57716i −0.687949 1.05212i
\(7\) −4.05211 + 1.08576i −1.53155 + 0.410378i −0.923525 0.383537i \(-0.874706\pi\)
−0.608028 + 0.793916i \(0.708039\pi\)
\(8\) −1.17465 2.57297i −0.415302 0.909684i
\(9\) 0.595352 + 1.63572i 0.198451 + 0.545238i
\(10\) 2.67963 1.67916i 0.847373 0.530997i
\(11\) 0.636513 0.367491i 0.191916 0.110803i −0.400963 0.916094i \(-0.631324\pi\)
0.592879 + 0.805291i \(0.297991\pi\)
\(12\) 0.857659 + 4.26933i 0.247585 + 1.23245i
\(13\) −3.61545 + 2.53156i −1.00274 + 0.702130i −0.954962 0.296728i \(-0.904104\pi\)
−0.0477829 + 0.998858i \(0.515216\pi\)
\(14\) 5.89071 + 0.704570i 1.57436 + 0.188304i
\(15\) −4.60631 + 1.57650i −1.18934 + 0.407051i
\(16\) 0.189663 + 3.99550i 0.0474158 + 0.998875i
\(17\) −3.04089 + 1.41799i −0.737524 + 0.343913i −0.754815 0.655937i \(-0.772274\pi\)
0.0172912 + 0.999850i \(0.494496\pi\)
\(18\) 0.0782073 2.46047i 0.0184336 0.579938i
\(19\) −2.00344 3.87121i −0.459621 0.888115i
\(20\) −4.40073 + 0.795965i −0.984034 + 0.177983i
\(21\) −8.58310 3.12399i −1.87299 0.681711i
\(22\) −1.02885 + 0.147882i −0.219351 + 0.0315286i
\(23\) 7.79780 0.682219i 1.62595 0.142252i 0.762606 0.646863i \(-0.223920\pi\)
0.863347 + 0.504611i \(0.168364\pi\)
\(24\) 1.11823 6.05600i 0.228257 1.23618i
\(25\) −1.52739 4.76100i −0.305477 0.952199i
\(26\) 6.07743 1.42315i 1.19188 0.279102i
\(27\) 0.709658 2.64848i 0.136574 0.509700i
\(28\) −7.36348 4.02156i −1.39157 0.760004i
\(29\) 2.65230 + 7.28713i 0.492519 + 1.35319i 0.898367 + 0.439245i \(0.144754\pi\)
−0.405848 + 0.913941i \(0.633024\pi\)
\(30\) 6.87628 + 0.351602i 1.25543 + 0.0641935i
\(31\) −2.23860 1.29246i −0.402064 0.232132i 0.285310 0.958435i \(-0.407903\pi\)
−0.687374 + 0.726303i \(0.741237\pi\)
\(32\) 1.85129 5.34535i 0.327264 0.944933i
\(33\) 1.59420 + 0.139474i 0.277514 + 0.0242793i
\(34\) 4.73774 0.263175i 0.812515 0.0451341i
\(35\) 3.37793 8.75111i 0.570974 1.47921i
\(36\) −1.39606 + 3.18921i −0.232676 + 0.531535i
\(37\) −4.73432 + 4.73432i −0.778318 + 0.778318i −0.979545 0.201227i \(-0.935507\pi\)
0.201227 + 0.979545i \(0.435507\pi\)
\(38\) 0.595338 + 6.13560i 0.0965766 + 0.995326i
\(39\) −9.60989 −1.53881
\(40\) 6.19608 + 1.26830i 0.979686 + 0.200535i
\(41\) 1.21984 + 6.91803i 0.190506 + 1.08041i 0.918674 + 0.395016i \(0.129261\pi\)
−0.728168 + 0.685399i \(0.759628\pi\)
\(42\) 9.62648 + 8.61329i 1.48540 + 1.32906i
\(43\) −0.898247 + 10.2670i −0.136981 + 1.56570i 0.547583 + 0.836751i \(0.315548\pi\)
−0.684564 + 0.728952i \(0.740008\pi\)
\(44\) 1.42850 + 0.346676i 0.215354 + 0.0522634i
\(45\) −3.73952 1.07982i −0.557455 0.160970i
\(46\) −10.5963 3.20335i −1.56233 0.472308i
\(47\) −1.71365 0.799087i −0.249961 0.116559i 0.293600 0.955928i \(-0.405147\pi\)
−0.543561 + 0.839370i \(0.682924\pi\)
\(48\) −4.65153 + 7.36304i −0.671390 + 1.06276i
\(49\) 9.17854 5.29923i 1.31122 0.757033i
\(50\) −0.497401 + 7.05355i −0.0703432 + 0.997523i
\(51\) −7.19444 1.26857i −1.00742 0.177636i
\(52\) −8.72709 1.32626i −1.21023 0.183919i
\(53\) 0.729246 + 8.33532i 0.100170 + 1.14494i 0.865364 + 0.501144i \(0.167087\pi\)
−0.765194 + 0.643800i \(0.777357\pi\)
\(54\) −2.32391 + 3.10412i −0.316245 + 0.422417i
\(55\) −0.174829 + 1.63414i −0.0235740 + 0.220348i
\(56\) 7.55344 + 9.15059i 1.00937 + 1.22280i
\(57\) 1.26134 9.40650i 0.167068 1.24592i
\(58\) 0.348414 10.9614i 0.0457490 1.43930i
\(59\) 5.52905 + 2.01241i 0.719821 + 0.261993i 0.675850 0.737039i \(-0.263777\pi\)
0.0439710 + 0.999033i \(0.485999\pi\)
\(60\) −8.84297 4.07623i −1.14162 0.526240i
\(61\) 5.21429 + 4.37531i 0.667621 + 0.560201i 0.912360 0.409388i \(-0.134258\pi\)
−0.244739 + 0.969589i \(0.578702\pi\)
\(62\) 2.25963 + 2.87360i 0.286974 + 0.364948i
\(63\) −4.18842 5.98169i −0.527692 0.753622i
\(64\) −5.24039 + 6.04469i −0.655049 + 0.755586i
\(65\) 0.190595 9.86737i 0.0236404 1.22390i
\(66\) −2.01969 1.02113i −0.248606 0.125692i
\(67\) 3.86215 + 1.80095i 0.471836 + 0.220021i 0.643967 0.765053i \(-0.277287\pi\)
−0.172131 + 0.985074i \(0.555065\pi\)
\(68\) −6.35846 2.14494i −0.771077 0.260112i
\(69\) 14.7598 + 8.52155i 1.77687 + 1.02587i
\(70\) −9.03499 + 9.71358i −1.07989 + 1.16099i
\(71\) 1.55696 + 1.85551i 0.184777 + 0.220208i 0.850479 0.526009i \(-0.176312\pi\)
−0.665702 + 0.746218i \(0.731868\pi\)
\(72\) 3.50932 3.45322i 0.413578 0.406966i
\(73\) −2.94518 + 4.20615i −0.344707 + 0.492293i −0.953649 0.300922i \(-0.902706\pi\)
0.608941 + 0.793215i \(0.291594\pi\)
\(74\) 8.70430 3.72697i 1.01185 0.433252i
\(75\) 3.22163 10.3990i 0.372002 1.20077i
\(76\) 2.44366 8.36831i 0.280306 0.959911i
\(77\) −2.18021 + 2.18021i −0.248458 + 0.248458i
\(78\) 12.6167 + 5.05158i 1.42856 + 0.571979i
\(79\) −0.591642 3.35537i −0.0665649 0.377508i −0.999832 0.0183254i \(-0.994167\pi\)
0.933267 0.359183i \(-0.116945\pi\)
\(80\) −7.46807 4.92219i −0.834955 0.550318i
\(81\) 8.57362 7.19412i 0.952625 0.799347i
\(82\) 2.03506 9.72383i 0.224734 1.07382i
\(83\) 0.616624 + 2.30127i 0.0676832 + 0.252597i 0.991475 0.130298i \(-0.0415935\pi\)
−0.923792 + 0.382896i \(0.874927\pi\)
\(84\) −8.11080 16.3686i −0.884960 1.78596i
\(85\) 1.44525 7.36205i 0.156760 0.798526i
\(86\) 6.57630 13.0073i 0.709141 1.40261i
\(87\) −4.37006 + 16.3093i −0.468520 + 1.74854i
\(88\) −1.69323 1.20606i −0.180498 0.128566i
\(89\) −2.79224 0.492347i −0.295977 0.0521887i 0.0236880 0.999719i \(-0.492459\pi\)
−0.319665 + 0.947531i \(0.603570\pi\)
\(90\) 4.34195 + 3.38342i 0.457682 + 0.356644i
\(91\) 11.9015 14.1837i 1.24762 1.48685i
\(92\) 12.2278 + 9.77572i 1.27484 + 1.01919i
\(93\) −2.37857 5.10085i −0.246646 0.528933i
\(94\) 1.82978 + 1.94992i 0.188727 + 0.201118i
\(95\) 9.63351 + 1.48170i 0.988378 + 0.152019i
\(96\) 9.97743 7.22171i 1.01832 0.737062i
\(97\) 1.00171 0.467106i 0.101709 0.0474275i −0.371098 0.928594i \(-0.621019\pi\)
0.472807 + 0.881166i \(0.343241\pi\)
\(98\) −14.8360 + 2.13247i −1.49866 + 0.215412i
\(99\) 0.980060 + 0.822368i 0.0984997 + 0.0826511i
\(100\) 4.36084 8.99906i 0.436084 0.899906i
\(101\) 0.536895 3.04489i 0.0534231 0.302977i −0.946375 0.323070i \(-0.895285\pi\)
0.999798 + 0.0200927i \(0.00639613\pi\)
\(102\) 8.77866 + 5.44736i 0.869217 + 0.539369i
\(103\) −10.7586 2.88275i −1.06007 0.284046i −0.313665 0.949534i \(-0.601557\pi\)
−0.746408 + 0.665488i \(0.768223\pi\)
\(104\) 10.7605 + 6.32875i 1.05516 + 0.620585i
\(105\) 16.9536 11.3895i 1.65450 1.11150i
\(106\) 3.42416 11.3267i 0.332584 1.10014i
\(107\) −2.31153 + 0.619373i −0.223464 + 0.0598770i −0.368814 0.929503i \(-0.620236\pi\)
0.145350 + 0.989380i \(0.453569\pi\)
\(108\) 4.68277 2.85376i 0.450599 0.274603i
\(109\) −8.71555 10.3868i −0.834798 0.994874i −0.999963 0.00860757i \(-0.997260\pi\)
0.165165 0.986266i \(-0.447184\pi\)
\(110\) 1.08854 2.05355i 0.103789 0.195798i
\(111\) −14.3564 + 2.53142i −1.36265 + 0.240272i
\(112\) −5.10669 15.9843i −0.482537 1.51037i
\(113\) −6.15406 6.15406i −0.578926 0.578926i 0.355682 0.934607i \(-0.384249\pi\)
−0.934607 + 0.355682i \(0.884249\pi\)
\(114\) −6.60066 + 11.6866i −0.618209 + 1.09455i
\(115\) −9.04261 + 14.9862i −0.843227 + 1.39747i
\(116\) −6.21945 + 14.2080i −0.577462 + 1.31918i
\(117\) −6.29338 4.40667i −0.581823 0.407397i
\(118\) −6.20117 5.54849i −0.570864 0.510780i
\(119\) 10.7824 9.04753i 0.988423 0.829385i
\(120\) 9.46710 + 10.0001i 0.864224 + 0.912878i
\(121\) −5.22990 + 9.05845i −0.475446 + 0.823496i
\(122\) −4.54583 8.48526i −0.411560 0.768219i
\(123\) −6.46398 + 13.8621i −0.582838 + 1.24990i
\(124\) −1.45610 4.96053i −0.130761 0.445469i
\(125\) 10.6137 + 3.51419i 0.949317 + 0.314319i
\(126\) 2.35457 + 10.0550i 0.209762 + 0.895770i
\(127\) 7.95475 5.56998i 0.705870 0.494256i −0.164673 0.986348i \(-0.552657\pi\)
0.870543 + 0.492093i \(0.163768\pi\)
\(128\) 10.0575 5.18131i 0.888969 0.457968i
\(129\) −14.4241 + 17.1899i −1.26997 + 1.51349i
\(130\) −5.43716 + 12.8546i −0.476870 + 1.12742i
\(131\) 6.53947 17.9670i 0.571356 1.56979i −0.231007 0.972952i \(-0.574202\pi\)
0.802363 0.596836i \(-0.203576\pi\)
\(132\) 2.11485 + 2.40230i 0.184074 + 0.209094i
\(133\) 12.3214 + 13.5113i 1.06840 + 1.17158i
\(134\) −4.12387 4.39464i −0.356248 0.379639i
\(135\) 3.84955 + 4.77192i 0.331317 + 0.410702i
\(136\) 7.22043 + 6.15849i 0.619147 + 0.528086i
\(137\) 11.5266 1.00845i 0.984785 0.0861575i 0.416627 0.909077i \(-0.363212\pi\)
0.568157 + 0.822920i \(0.307656\pi\)
\(138\) −14.8984 18.9465i −1.26824 1.61284i
\(139\) −2.15897 + 12.2441i −0.183122 + 1.03853i 0.745223 + 0.666815i \(0.232343\pi\)
−0.928345 + 0.371720i \(0.878768\pi\)
\(140\) 16.9680 8.00347i 1.43406 0.676417i
\(141\) −2.05843 3.56531i −0.173351 0.300253i
\(142\) −1.06873 3.25451i −0.0896862 0.273112i
\(143\) −1.37095 + 2.94002i −0.114645 + 0.245857i
\(144\) −6.42259 + 2.68896i −0.535215 + 0.224080i
\(145\) −16.6596 4.81062i −1.38351 0.399500i
\(146\) 6.07772 3.97403i 0.502996 0.328893i
\(147\) 22.9884 + 2.01122i 1.89605 + 0.165883i
\(148\) −13.3869 + 0.317554i −1.10040 + 0.0261028i
\(149\) 10.9446 1.92983i 0.896620 0.158098i 0.293698 0.955898i \(-0.405114\pi\)
0.602922 + 0.797800i \(0.294003\pi\)
\(150\) −9.69601 + 11.9592i −0.791676 + 0.976463i
\(151\) 7.10576i 0.578259i −0.957290 0.289129i \(-0.906634\pi\)
0.957290 0.289129i \(-0.0933658\pi\)
\(152\) −7.60717 + 9.70211i −0.617023 + 0.786945i
\(153\) −4.12983 4.12983i −0.333877 0.333877i
\(154\) 4.00844 1.71632i 0.323009 0.138305i
\(155\) 5.28469 2.34113i 0.424477 0.188044i
\(156\) −13.9089 13.2643i −1.11360 1.06200i
\(157\) 0.367492 4.20045i 0.0293290 0.335232i −0.967328 0.253529i \(-0.918409\pi\)
0.996657 0.0817031i \(-0.0260359\pi\)
\(158\) −0.987038 + 4.71623i −0.0785246 + 0.375203i
\(159\) −9.10896 + 15.7772i −0.722388 + 1.25121i
\(160\) 7.21732 + 10.3880i 0.570579 + 0.821243i
\(161\) −30.8568 + 11.2310i −2.43186 + 0.885123i
\(162\) −15.0379 + 4.93823i −1.18149 + 0.387984i
\(163\) 10.3140 + 2.76363i 0.807856 + 0.216464i 0.639030 0.769182i \(-0.279336\pi\)
0.168826 + 0.985646i \(0.446002\pi\)
\(164\) −7.78327 + 11.6965i −0.607772 + 0.913347i
\(165\) −2.35263 + 2.69624i −0.183152 + 0.209902i
\(166\) 0.400139 3.34545i 0.0310568 0.259657i
\(167\) −0.585922 6.69712i −0.0453400 0.518239i −0.984575 0.174964i \(-0.944019\pi\)
0.939235 0.343275i \(-0.111536\pi\)
\(168\) 2.04419 + 25.7537i 0.157712 + 1.98694i
\(169\) 2.21639 6.08947i 0.170491 0.468421i
\(170\) −5.76743 + 8.90583i −0.442341 + 0.683046i
\(171\) 5.13944 5.58179i 0.393023 0.426850i
\(172\) −15.4714 + 13.6202i −1.17968 + 1.03853i
\(173\) −10.5441 22.6120i −0.801656 1.71916i −0.688088 0.725627i \(-0.741550\pi\)
−0.113568 0.993530i \(-0.536228\pi\)
\(174\) 14.3106 19.1151i 1.08489 1.44911i
\(175\) 11.3584 + 17.6337i 0.858617 + 1.33298i
\(176\) 1.58903 + 2.47349i 0.119778 + 0.186446i
\(177\) 7.34813 + 10.4942i 0.552319 + 0.788793i
\(178\) 3.40709 + 2.11418i 0.255372 + 0.158464i
\(179\) 1.96648 + 3.40603i 0.146981 + 0.254579i 0.930110 0.367280i \(-0.119711\pi\)
−0.783129 + 0.621859i \(0.786378\pi\)
\(180\) −3.92195 6.72447i −0.292325 0.501212i
\(181\) 5.87245 2.13740i 0.436496 0.158872i −0.114420 0.993433i \(-0.536501\pi\)
0.550916 + 0.834561i \(0.314279\pi\)
\(182\) −23.0812 + 12.3654i −1.71089 + 0.916583i
\(183\) 3.83582 + 14.3155i 0.283552 + 1.05823i
\(184\) −10.9150 19.2622i −0.804666 1.42003i
\(185\) −2.31451 14.7912i −0.170166 1.08747i
\(186\) 0.441455 + 7.94717i 0.0323690 + 0.582715i
\(187\) −1.41447 + 2.02007i −0.103436 + 0.147722i
\(188\) −1.37729 3.52187i −0.100449 0.256859i
\(189\) 11.5024i 0.836680i
\(190\) −11.8689 7.00930i −0.861057 0.508508i
\(191\) 20.3147i 1.46992i 0.678108 + 0.734962i \(0.262800\pi\)
−0.678108 + 0.734962i \(0.737200\pi\)
\(192\) −16.8955 + 4.23651i −1.21932 + 0.305744i
\(193\) 5.39360 7.70286i 0.388240 0.554464i −0.576693 0.816961i \(-0.695657\pi\)
0.964933 + 0.262497i \(0.0845460\pi\)
\(194\) −1.56068 + 0.0866936i −0.112050 + 0.00622424i
\(195\) 12.6629 17.3609i 0.906806 1.24324i
\(196\) 20.5990 + 4.99908i 1.47136 + 0.357077i
\(197\) 3.39320 + 12.6636i 0.241755 + 0.902244i 0.974986 + 0.222264i \(0.0713447\pi\)
−0.733231 + 0.679980i \(0.761989\pi\)
\(198\) −0.854420 1.59486i −0.0607210 0.113342i
\(199\) −7.27516 + 2.64794i −0.515723 + 0.187708i −0.586752 0.809766i \(-0.699594\pi\)
0.0710295 + 0.997474i \(0.477372\pi\)
\(200\) −10.4558 + 9.52243i −0.739335 + 0.673337i
\(201\) 4.63921 + 8.03535i 0.327225 + 0.566770i
\(202\) −2.30547 + 3.71537i −0.162213 + 0.261412i
\(203\) −18.6595 26.6485i −1.30964 1.87036i
\(204\) −8.66192 11.7664i −0.606456 0.823814i
\(205\) −14.1053 6.91210i −0.985154 0.482762i
\(206\) 12.6094 + 9.44013i 0.878541 + 0.657725i
\(207\) 5.75835 + 12.3488i 0.400233 + 0.858302i
\(208\) −10.8006 13.9654i −0.748886 0.968325i
\(209\) −2.69785 1.72783i −0.186614 0.119516i
\(210\) −28.2452 + 6.04126i −1.94910 + 0.416887i
\(211\) −3.23927 + 8.89981i −0.223000 + 0.612688i −0.999856 0.0169908i \(-0.994591\pi\)
0.776855 + 0.629679i \(0.216814\pi\)
\(212\) −10.4496 + 13.0707i −0.717680 + 0.897700i
\(213\) 0.459648 + 5.25380i 0.0314946 + 0.359985i
\(214\) 3.36036 + 0.401922i 0.229710 + 0.0274748i
\(215\) −17.3644 15.1515i −1.18425 1.03332i
\(216\) −7.64807 + 1.28511i −0.520385 + 0.0874403i
\(217\) 10.4743 + 2.80659i 0.711045 + 0.190524i
\(218\) 5.98258 + 18.2181i 0.405191 + 1.23389i
\(219\) −10.5058 + 3.82378i −0.709913 + 0.258387i
\(220\) −2.50861 + 2.12387i −0.169131 + 0.143191i
\(221\) 7.40445 12.8249i 0.498077 0.862695i
\(222\) 20.1790 + 4.22317i 1.35433 + 0.283441i
\(223\) 0.151522 1.73191i 0.0101467 0.115977i −0.989432 0.144996i \(-0.953683\pi\)
0.999579 + 0.0290195i \(0.00923848\pi\)
\(224\) −1.69786 + 23.6700i −0.113443 + 1.58152i
\(225\) 6.87830 5.33284i 0.458554 0.355522i
\(226\) 4.84463 + 11.3146i 0.322260 + 0.752634i
\(227\) −6.64263 6.64263i −0.440887 0.440887i 0.451423 0.892310i \(-0.350917\pi\)
−0.892310 + 0.451423i \(0.850917\pi\)
\(228\) 14.8092 11.8735i 0.980762 0.786343i
\(229\) 5.07048i 0.335067i −0.985866 0.167533i \(-0.946420\pi\)
0.985866 0.167533i \(-0.0535802\pi\)
\(230\) 19.7497 14.9219i 1.30225 0.983918i
\(231\) −6.61129 + 1.16575i −0.434991 + 0.0767007i
\(232\) 15.6341 15.3841i 1.02643 1.01002i
\(233\) 6.48452 + 0.567322i 0.424815 + 0.0371665i 0.297559 0.954703i \(-0.403828\pi\)
0.127256 + 0.991870i \(0.459383\pi\)
\(234\) 5.94608 + 9.09368i 0.388707 + 0.594472i
\(235\) 3.70166 2.04287i 0.241470 0.133262i
\(236\) 5.22480 + 10.5443i 0.340106 + 0.686375i
\(237\) 3.13515 6.72334i 0.203650 0.436728i
\(238\) −18.9121 + 6.21046i −1.22589 + 0.402564i
\(239\) 4.37579 + 7.57908i 0.283046 + 0.490250i 0.972133 0.234428i \(-0.0753217\pi\)
−0.689087 + 0.724678i \(0.741988\pi\)
\(240\) −7.17257 18.1055i −0.462987 1.16871i
\(241\) −4.07950 + 23.1360i −0.262784 + 1.49032i 0.512488 + 0.858694i \(0.328724\pi\)
−0.775272 + 0.631627i \(0.782387\pi\)
\(242\) 11.6280 9.14357i 0.747475 0.587771i
\(243\) 16.0815 1.40695i 1.03163 0.0902557i
\(244\) 1.50777 + 13.5298i 0.0965254 + 0.866155i
\(245\) −2.52104 + 23.5644i −0.161063 + 1.50548i
\(246\) 15.7733 14.8014i 1.00567 0.943706i
\(247\) 17.0435 + 8.92430i 1.08445 + 0.567840i
\(248\) −0.695885 + 7.27804i −0.0441888 + 0.462156i
\(249\) −1.77418 + 4.87451i −0.112434 + 0.308909i
\(250\) −12.0873 10.1930i −0.764469 0.644661i
\(251\) −11.7076 + 13.9525i −0.738976 + 0.880677i −0.996326 0.0856414i \(-0.972706\pi\)
0.257351 + 0.966318i \(0.417151\pi\)
\(252\) 2.19427 14.4388i 0.138226 0.909559i
\(253\) 4.71269 3.29986i 0.296284 0.207461i
\(254\) −13.3716 + 3.13123i −0.839012 + 0.196471i
\(255\) 11.7718 11.3257i 0.737180 0.709241i
\(256\) −15.9281 + 1.51560i −0.995503 + 0.0947249i
\(257\) 9.70661 20.8159i 0.605482 1.29846i −0.329631 0.944110i \(-0.606924\pi\)
0.935113 0.354350i \(-0.115298\pi\)
\(258\) 27.9734 14.9863i 1.74154 0.933003i
\(259\) 14.0437 24.3243i 0.872630 1.51144i
\(260\) 13.8956 14.0185i 0.861767 0.869391i
\(261\) −10.3406 + 8.67681i −0.640068 + 0.537081i
\(262\) −18.0302 + 20.1512i −1.11391 + 1.24494i
\(263\) −5.80453 4.06438i −0.357923 0.250620i 0.380759 0.924674i \(-0.375663\pi\)
−0.738682 + 0.674054i \(0.764552\pi\)
\(264\) −1.51376 4.26566i −0.0931655 0.262533i
\(265\) −16.0192 9.66593i −0.984055 0.593774i
\(266\) −9.07416 24.2157i −0.556372 1.48476i
\(267\) −4.36523 4.36523i −0.267148 0.267148i
\(268\) 3.10408 + 7.93745i 0.189612 + 0.484857i
\(269\) 16.3726 2.88693i 0.998254 0.176019i 0.349434 0.936961i \(-0.386374\pi\)
0.648820 + 0.760942i \(0.275263\pi\)
\(270\) −2.54560 8.28858i −0.154920 0.504427i
\(271\) −2.74990 3.27720i −0.167045 0.199076i 0.676028 0.736876i \(-0.263700\pi\)
−0.843072 + 0.537800i \(0.819255\pi\)
\(272\) −6.24233 11.8809i −0.378497 0.720388i
\(273\) 38.9403 10.4340i 2.35678 0.631496i
\(274\) −15.6633 4.73515i −0.946252 0.286061i
\(275\) −2.72182 2.46914i −0.164132 0.148895i
\(276\) 9.60047 + 32.7063i 0.577880 + 1.96869i
\(277\) −6.99734 1.87493i −0.420429 0.112654i 0.0424008 0.999101i \(-0.486499\pi\)
−0.462830 + 0.886447i \(0.653166\pi\)
\(278\) 9.27080 14.9403i 0.556026 0.896060i
\(279\) 0.781336 4.43118i 0.0467774 0.265288i
\(280\) −26.4843 + 1.58818i −1.58274 + 0.0949118i
\(281\) −4.26965 3.58266i −0.254706 0.213724i 0.506490 0.862246i \(-0.330943\pi\)
−0.761196 + 0.648522i \(0.775387\pi\)
\(282\) 0.828335 + 5.76290i 0.0493266 + 0.343176i
\(283\) 5.99533 2.79567i 0.356385 0.166185i −0.236177 0.971710i \(-0.575894\pi\)
0.592562 + 0.805525i \(0.298117\pi\)
\(284\) −0.307652 + 4.83461i −0.0182558 + 0.286881i
\(285\) 15.3314 + 14.6735i 0.908156 + 0.869186i
\(286\) 3.34537 3.13926i 0.197816 0.185628i
\(287\) −12.4542 26.7082i −0.735149 1.57653i
\(288\) 9.84563 0.154182i 0.580159 0.00908529i
\(289\) −3.69107 + 4.39885i −0.217122 + 0.258756i
\(290\) 19.3434 + 15.0732i 1.13589 + 0.885127i
\(291\) 2.36995 + 0.417887i 0.138929 + 0.0244970i
\(292\) −10.0684 + 2.02262i −0.589207 + 0.118365i
\(293\) −7.61199 + 28.4083i −0.444697 + 1.65963i 0.272038 + 0.962287i \(0.412302\pi\)
−0.716735 + 0.697346i \(0.754364\pi\)
\(294\) −29.1239 14.7247i −1.69854 0.858761i
\(295\) −10.9211 + 7.33688i −0.635853 + 0.427169i
\(296\) 17.7425 + 6.62012i 1.03126 + 0.384786i
\(297\) −0.521586 1.94659i −0.0302655 0.112952i
\(298\) −15.3835 3.21955i −0.891144 0.186504i
\(299\) −26.4655 + 22.2072i −1.53054 + 1.28427i
\(300\) 19.0163 10.6042i 1.09791 0.612235i
\(301\) −7.50771 42.5783i −0.432737 2.45417i
\(302\) −3.73525 + 9.32908i −0.214939 + 0.536828i
\(303\) 4.76020 4.76020i 0.273466 0.273466i
\(304\) 15.0874 8.73897i 0.865323 0.501214i
\(305\) −14.7751 + 3.65467i −0.846020 + 0.209266i
\(306\) 3.25110 + 7.59291i 0.185853 + 0.434058i
\(307\) 10.2539 14.6441i 0.585222 0.835783i −0.411929 0.911216i \(-0.635145\pi\)
0.997151 + 0.0754327i \(0.0240338\pi\)
\(308\) −6.16484 + 0.146238i −0.351275 + 0.00833266i
\(309\) −15.5883 18.5774i −0.886788 1.05683i
\(310\) −8.16886 + 0.295665i −0.463960 + 0.0167927i
\(311\) −17.1629 9.90903i −0.973221 0.561889i −0.0730042 0.997332i \(-0.523259\pi\)
−0.900217 + 0.435442i \(0.856592\pi\)
\(312\) 11.2883 + 24.7260i 0.639072 + 1.39983i
\(313\) 29.0795 + 13.5600i 1.64367 + 0.766455i 0.999999 + 0.00115199i \(0.000366691\pi\)
0.643670 + 0.765303i \(0.277411\pi\)
\(314\) −2.69050 + 5.32155i −0.151834 + 0.300312i
\(315\) 16.3254 + 0.315335i 0.919831 + 0.0177671i
\(316\) 3.77503 5.67303i 0.212362 0.319133i
\(317\) −1.21393 1.73367i −0.0681811 0.0973727i 0.783613 0.621249i \(-0.213374\pi\)
−0.851794 + 0.523876i \(0.824485\pi\)
\(318\) 20.2526 15.9254i 1.13571 0.893053i
\(319\) 4.36618 + 3.66366i 0.244459 + 0.205125i
\(320\) −4.01493 17.4322i −0.224442 0.974488i
\(321\) −4.89624 1.78208i −0.273281 0.0994662i
\(322\) 46.4153 + 1.47533i 2.58662 + 0.0822172i
\(323\) 11.5816 + 8.93105i 0.644416 + 0.496937i
\(324\) 22.3390 + 1.42155i 1.24105 + 0.0789749i
\(325\) 17.5750 + 13.3465i 0.974883 + 0.740329i
\(326\) −12.0884 9.05005i −0.669515 0.501236i
\(327\) −2.57303 29.4098i −0.142289 1.62637i
\(328\) 16.3670 11.2649i 0.903718 0.621998i
\(329\) 7.81150 + 1.37738i 0.430662 + 0.0759373i
\(330\) 4.50606 2.30317i 0.248050 0.126786i
\(331\) 7.33727 4.23618i 0.403293 0.232841i −0.284611 0.958643i \(-0.591864\pi\)
0.687904 + 0.725802i \(0.258531\pi\)
\(332\) −2.28392 + 4.18186i −0.125347 + 0.229510i
\(333\) −10.5626 4.92542i −0.578826 0.269911i
\(334\) −2.75119 + 9.10058i −0.150538 + 0.497961i
\(335\) −8.34265 + 4.60414i −0.455808 + 0.251551i
\(336\) 10.8540 34.8863i 0.592135 1.90320i
\(337\) −1.43205 + 16.3684i −0.0780089 + 0.891646i 0.851863 + 0.523764i \(0.175473\pi\)
−0.929872 + 0.367882i \(0.880083\pi\)
\(338\) −6.11089 + 6.82972i −0.332389 + 0.371488i
\(339\) −3.29055 18.6616i −0.178718 1.01356i
\(340\) 12.2535 8.66064i 0.664538 0.469689i
\(341\) −1.89986 −0.102883
\(342\) −9.68166 + 4.62664i −0.523524 + 0.250180i
\(343\) −10.6743 + 10.6743i −0.576358 + 0.576358i
\(344\) 27.4719 9.74897i 1.48118 0.525629i
\(345\) −34.8436 + 15.4358i −1.87591 + 0.831033i
\(346\) 1.95696 + 35.2297i 0.105207 + 1.89396i
\(347\) 12.7689 + 1.11713i 0.685471 + 0.0599709i 0.424570 0.905395i \(-0.360425\pi\)
0.260900 + 0.965366i \(0.415981\pi\)
\(348\) −28.8364 + 17.5734i −1.54579 + 0.942034i
\(349\) −25.9505 14.9825i −1.38910 0.801996i −0.395885 0.918300i \(-0.629562\pi\)
−0.993214 + 0.116304i \(0.962895\pi\)
\(350\) −5.64294 29.1218i −0.301628 1.55663i
\(351\) 4.13906 + 11.3720i 0.220927 + 0.606992i
\(352\) −0.785999 4.08272i −0.0418939 0.217609i
\(353\) −8.20822 + 30.6335i −0.436880 + 1.63046i 0.299649 + 0.954050i \(0.403131\pi\)
−0.736528 + 0.676407i \(0.763536\pi\)
\(354\) −4.13084 17.6404i −0.219551 0.937576i
\(355\) −5.40369 + 0.367764i −0.286798 + 0.0195189i
\(356\) −3.36178 4.56667i −0.178174 0.242033i
\(357\) 30.5300 2.67103i 1.61582 0.141366i
\(358\) −0.791331 5.50545i −0.0418231 0.290972i
\(359\) 11.1425 + 4.05555i 0.588080 + 0.214044i 0.618885 0.785482i \(-0.287585\pi\)
−0.0308046 + 0.999525i \(0.509807\pi\)
\(360\) 1.61428 + 10.8901i 0.0850798 + 0.573959i
\(361\) −10.9725 + 15.5115i −0.577498 + 0.816392i
\(362\) −8.83343 0.280775i −0.464275 0.0147572i
\(363\) −20.6405 + 9.62482i −1.08334 + 0.505172i
\(364\) 36.8031 4.10138i 1.92901 0.214971i
\(365\) −3.71787 10.8631i −0.194602 0.568600i
\(366\) 2.48913 20.8110i 0.130109 1.08781i
\(367\) −17.4573 + 12.2237i −0.911263 + 0.638073i −0.932292 0.361706i \(-0.882195\pi\)
0.0210295 + 0.999779i \(0.493306\pi\)
\(368\) 4.20476 + 31.0267i 0.219188 + 1.61738i
\(369\) −10.5897 + 6.11396i −0.551278 + 0.318280i
\(370\) −4.73654 + 20.6359i −0.246241 + 1.07281i
\(371\) −12.0051 32.9838i −0.623275 1.71244i
\(372\) 3.59797 10.6658i 0.186546 0.552997i
\(373\) 12.3251 3.30251i 0.638170 0.170997i 0.0747959 0.997199i \(-0.476169\pi\)
0.563375 + 0.826202i \(0.309503\pi\)
\(374\) 2.91892 1.90859i 0.150934 0.0986909i
\(375\) 14.5413 + 19.5227i 0.750911 + 1.00815i
\(376\) −0.0430940 + 5.34782i −0.00222240 + 0.275793i
\(377\) −28.0371 19.6318i −1.44398 1.01109i
\(378\) 6.04643 15.1014i 0.310995 0.776734i
\(379\) −7.74944 −0.398062 −0.199031 0.979993i \(-0.563779\pi\)
−0.199031 + 0.979993i \(0.563779\pi\)
\(380\) 11.8979 + 15.4415i 0.610352 + 0.792131i
\(381\) 21.1438 1.08323
\(382\) 10.6787 26.6710i 0.546372 1.36461i
\(383\) 1.05003 + 0.735241i 0.0536542 + 0.0375691i 0.600096 0.799928i \(-0.295129\pi\)
−0.546442 + 0.837497i \(0.684018\pi\)
\(384\) 24.4088 + 3.31927i 1.24561 + 0.169386i
\(385\) −1.06586 6.81156i −0.0543213 0.347149i
\(386\) −11.1303 + 7.27777i −0.566518 + 0.370429i
\(387\) −17.3287 + 4.64320i −0.880866 + 0.236027i
\(388\) 2.09457 + 0.706575i 0.106336 + 0.0358709i
\(389\) −0.857234 2.35523i −0.0434635 0.119415i 0.916062 0.401036i \(-0.131350\pi\)
−0.959526 + 0.281622i \(0.909128\pi\)
\(390\) −25.7510 + 16.1366i −1.30395 + 0.817106i
\(391\) −22.7449 + 13.1318i −1.15026 + 0.664101i
\(392\) −24.4164 17.3914i −1.23321 0.878398i
\(393\) 34.1017 23.8783i 1.72020 1.20450i
\(394\) 2.20191 18.4096i 0.110931 0.927461i
\(395\) 6.84130 + 3.35249i 0.344223 + 0.168682i
\(396\) 0.283396 + 2.54301i 0.0142412 + 0.127791i
\(397\) 16.9632 7.91006i 0.851357 0.396994i 0.0525768 0.998617i \(-0.483257\pi\)
0.798781 + 0.601622i \(0.205479\pi\)
\(398\) 10.9434 + 0.347842i 0.548544 + 0.0174358i
\(399\) 5.10211 + 39.4857i 0.255425 + 1.97676i
\(400\) 18.7329 7.00565i 0.936644 0.350283i
\(401\) −18.7831 6.83648i −0.937982 0.341398i −0.172614 0.984990i \(-0.555221\pi\)
−0.765369 + 0.643592i \(0.777443\pi\)
\(402\) −1.86687 12.9882i −0.0931109 0.647792i
\(403\) 11.3655 0.994351i 0.566155 0.0495321i
\(404\) 4.97987 3.66596i 0.247758 0.182388i
\(405\) 1.69930 + 24.9685i 0.0844391 + 1.24069i
\(406\) 10.4896 + 44.7951i 0.520592 + 2.22314i
\(407\) −1.27364 + 4.75328i −0.0631319 + 0.235611i
\(408\) 5.18695 + 20.0013i 0.256792 + 0.990210i
\(409\) 10.8218 + 29.7328i 0.535106 + 1.47019i 0.852922 + 0.522039i \(0.174828\pi\)
−0.317816 + 0.948152i \(0.602949\pi\)
\(410\) 14.8852 + 16.4895i 0.735127 + 0.814356i
\(411\) 21.8177 + 12.5965i 1.07619 + 0.621337i
\(412\) −11.5924 19.0222i −0.571119 0.937155i
\(413\) −24.5893 2.15128i −1.20996 0.105858i
\(414\) −1.06873 19.2396i −0.0525253 0.945574i
\(415\) −4.96992 1.91839i −0.243964 0.0941700i
\(416\) 6.83886 + 24.0125i 0.335302 + 1.17731i
\(417\) −19.1418 + 19.1418i −0.937378 + 0.937378i
\(418\) 2.63372 + 3.68661i 0.128819 + 0.180318i
\(419\) 4.91604 0.240164 0.120082 0.992764i \(-0.461684\pi\)
0.120082 + 0.992764i \(0.461684\pi\)
\(420\) 40.2585 + 6.91601i 1.96441 + 0.337467i
\(421\) 4.34038 + 24.6155i 0.211537 + 1.19969i 0.886815 + 0.462124i \(0.152912\pi\)
−0.675278 + 0.737563i \(0.735976\pi\)
\(422\) 8.93111 9.98169i 0.434760 0.485901i
\(423\) 0.286856 3.27878i 0.0139474 0.159420i
\(424\) 20.5900 11.6674i 0.999936 0.566620i
\(425\) 11.3957 + 12.3119i 0.552771 + 0.597212i
\(426\) 2.15827 7.13928i 0.104569 0.345899i
\(427\) −25.8794 12.0678i −1.25239 0.584000i
\(428\) −4.20051 2.29410i −0.203039 0.110890i
\(429\) −6.11682 + 3.53155i −0.295323 + 0.170505i
\(430\) 14.8330 + 29.0201i 0.715310 + 1.39947i
\(431\) −21.5340 3.79702i −1.03725 0.182896i −0.371010 0.928629i \(-0.620988\pi\)
−0.666245 + 0.745733i \(0.732100\pi\)
\(432\) 10.7166 + 2.33312i 0.515603 + 0.112252i
\(433\) −2.27997 26.0602i −0.109568 1.25237i −0.829571 0.558401i \(-0.811415\pi\)
0.720003 0.693971i \(-0.244140\pi\)
\(434\) −12.2763 9.19074i −0.589283 0.441170i
\(435\) −23.7055 29.3854i −1.13659 1.40892i
\(436\) 1.72218 27.0632i 0.0824774 1.29609i
\(437\) −18.2634 28.8201i −0.873658 1.37865i
\(438\) 15.8029 + 0.502304i 0.755093 + 0.0240010i
\(439\) −12.9920 4.72872i −0.620076 0.225689i 0.0128299 0.999918i \(-0.495916\pi\)
−0.632906 + 0.774228i \(0.718138\pi\)
\(440\) 4.40998 1.46972i 0.210237 0.0700660i
\(441\) 14.1325 + 11.8586i 0.672976 + 0.564694i
\(442\) −16.4628 + 12.9454i −0.783055 + 0.615749i
\(443\) 21.8012 + 31.1353i 1.03581 + 1.47928i 0.869954 + 0.493133i \(0.164148\pi\)
0.165852 + 0.986151i \(0.446963\pi\)
\(444\) −24.2728 16.1520i −1.15194 0.766538i
\(445\) 4.56877 4.39561i 0.216580 0.208372i
\(446\) −1.10933 + 2.19415i −0.0525285 + 0.103896i
\(447\) 21.9304 + 10.2263i 1.03727 + 0.483688i
\(448\) 14.6716 30.1835i 0.693167 1.42604i
\(449\) −12.6885 7.32573i −0.598809 0.345722i 0.169764 0.985485i \(-0.445699\pi\)
−0.768573 + 0.639762i \(0.779033\pi\)
\(450\) −11.8337 + 3.38574i −0.557847 + 0.159605i
\(451\) 3.31876 + 3.95514i 0.156274 + 0.186240i
\(452\) −0.412783 17.4014i −0.0194157 0.818494i
\(453\) 8.87407 12.6735i 0.416940 0.595452i
\(454\) 5.22924 + 12.2128i 0.245420 + 0.573177i
\(455\) 9.94129 + 40.1906i 0.466055 + 1.88417i
\(456\) −25.6843 + 7.80395i −1.20278 + 0.365453i
\(457\) −9.42430 + 9.42430i −0.440850 + 0.440850i −0.892298 0.451447i \(-0.850908\pi\)
0.451447 + 0.892298i \(0.350908\pi\)
\(458\) −2.66537 + 6.65698i −0.124545 + 0.311060i
\(459\) 1.59753 + 9.06002i 0.0745662 + 0.422886i
\(460\) −33.7730 + 9.20903i −1.57467 + 0.429373i
\(461\) −17.9103 + 15.0285i −0.834165 + 0.699947i −0.956243 0.292573i \(-0.905488\pi\)
0.122079 + 0.992520i \(0.461044\pi\)
\(462\) 9.29269 + 1.94482i 0.432335 + 0.0904814i
\(463\) 1.65700 + 6.18402i 0.0770074 + 0.287396i 0.993681 0.112241i \(-0.0358029\pi\)
−0.916674 + 0.399637i \(0.869136\pi\)
\(464\) −28.6127 + 11.9794i −1.32831 + 0.556128i
\(465\) 12.3492 + 2.42430i 0.572683 + 0.112424i
\(466\) −8.21523 4.15351i −0.380563 0.192408i
\(467\) 2.68367 10.0156i 0.124185 0.463466i −0.875624 0.482993i \(-0.839549\pi\)
0.999809 + 0.0195274i \(0.00621616\pi\)
\(468\) −3.02631 15.0646i −0.139891 0.696363i
\(469\) −17.6052 3.10428i −0.812934 0.143342i
\(470\) −5.93374 + 0.736233i −0.273703 + 0.0339599i
\(471\) 5.90120 7.03277i 0.271913 0.324053i
\(472\) −1.31682 16.5900i −0.0606116 0.763615i
\(473\) 3.20129 + 6.86518i 0.147195 + 0.315661i
\(474\) −7.65032 + 7.17896i −0.351391 + 0.329741i
\(475\) −15.3708 + 15.4512i −0.705259 + 0.708949i
\(476\) 28.0941 + 1.78778i 1.28769 + 0.0819426i
\(477\) −13.2000 + 6.15528i −0.604389 + 0.281831i
\(478\) −1.76086 12.2507i −0.0805400 0.560333i
\(479\) −0.105633 0.0886370i −0.00482652 0.00404993i 0.640371 0.768066i \(-0.278781\pi\)
−0.645198 + 0.764016i \(0.723225\pi\)
\(480\) −0.100649 + 27.5409i −0.00459400 + 1.25706i
\(481\) 5.13146 29.1019i 0.233974 1.32693i
\(482\) 17.5177 28.2306i 0.797910 1.28587i
\(483\) −69.0605 18.5047i −3.14236 0.841993i
\(484\) −20.0727 + 5.89206i −0.912396 + 0.267821i
\(485\) −0.476087 + 2.42516i −0.0216180 + 0.110121i
\(486\) −21.8528 6.60630i −0.991262 0.299668i
\(487\) −21.0712 + 5.64602i −0.954829 + 0.255846i −0.702410 0.711772i \(-0.747893\pi\)
−0.252419 + 0.967618i \(0.581226\pi\)
\(488\) 5.13259 18.5557i 0.232341 0.839976i
\(489\) 14.9442 + 17.8098i 0.675800 + 0.805387i
\(490\) 15.6968 29.6122i 0.709110 1.33774i
\(491\) 19.0722 3.36295i 0.860717 0.151768i 0.274169 0.961682i \(-0.411597\pi\)
0.586549 + 0.809914i \(0.300486\pi\)
\(492\) −28.4892 + 11.1412i −1.28439 + 0.502284i
\(493\) −18.3984 18.3984i −0.828623 0.828623i
\(494\) −17.6851 20.6758i −0.795689 0.930248i
\(495\) −2.77708 + 0.686920i −0.124820 + 0.0308748i
\(496\) 4.73943 9.18946i 0.212807 0.412619i
\(497\) −8.32359 5.82824i −0.373364 0.261432i
\(498\) 4.89165 5.46706i 0.219200 0.244985i
\(499\) 24.8191 20.8257i 1.11106 0.932288i 0.112939 0.993602i \(-0.463974\pi\)
0.998119 + 0.0613142i \(0.0195292\pi\)
\(500\) 10.5112 + 19.7361i 0.470075 + 0.882626i
\(501\) 7.31872 12.6764i 0.326976 0.566339i
\(502\) 22.7051 12.1639i 1.01338 0.542900i
\(503\) 10.6427 22.8234i 0.474535 1.01764i −0.512729 0.858551i \(-0.671365\pi\)
0.987264 0.159093i \(-0.0508568\pi\)
\(504\) −10.4708 + 17.8031i −0.466406 + 0.793013i
\(505\) 4.79333 + 4.98215i 0.213301 + 0.221703i
\(506\) −7.92186 + 1.85506i −0.352170 + 0.0824673i
\(507\) 11.5579 8.09294i 0.513305 0.359420i
\(508\) 19.2015 + 2.91805i 0.851927 + 0.129467i
\(509\) 6.23859 7.43486i 0.276521 0.329544i −0.609853 0.792514i \(-0.708772\pi\)
0.886374 + 0.462970i \(0.153216\pi\)
\(510\) −21.4086 + 8.68132i −0.947988 + 0.384415i
\(511\) 7.36732 20.2416i 0.325911 0.895434i
\(512\) 21.7085 + 6.38301i 0.959387 + 0.282092i
\(513\) −11.6746 + 2.55884i −0.515445 + 0.112975i
\(514\) −23.6859 + 22.2265i −1.04474 + 0.980370i
\(515\) 19.3843 15.6375i 0.854176 0.689072i
\(516\) −44.6036 + 4.97068i −1.96357 + 0.218822i
\(517\) −1.38442 + 0.121121i −0.0608866 + 0.00532688i
\(518\) −31.2242 + 24.5529i −1.37191 + 1.07879i
\(519\) 9.43309 53.4977i 0.414067 2.34829i
\(520\) −25.6124 + 11.1003i −1.12318 + 0.486781i
\(521\) 9.94072 + 17.2178i 0.435511 + 0.754327i 0.997337 0.0729284i \(-0.0232345\pi\)
−0.561826 + 0.827255i \(0.689901\pi\)
\(522\) 18.1372 5.95599i 0.793842 0.260686i
\(523\) 10.6909 22.9267i 0.467481 1.00252i −0.521331 0.853354i \(-0.674564\pi\)
0.988813 0.149162i \(-0.0476577\pi\)
\(524\) 34.2645 16.9784i 1.49685 0.741704i
\(525\) −1.76362 + 45.6356i −0.0769707 + 1.99170i
\(526\) 5.48420 + 8.38731i 0.239123 + 0.365704i
\(527\) 8.64003 + 0.755904i 0.376365 + 0.0329277i
\(528\) −0.254909 + 6.39607i −0.0110935 + 0.278353i
\(529\) 37.6896 6.64570i 1.63868 0.288943i
\(530\) 15.9505 + 21.1110i 0.692843 + 0.917005i
\(531\) 10.2420i 0.444467i
\(532\) −0.815991 + 36.5625i −0.0353777 + 1.58519i
\(533\) −21.9237 21.9237i −0.949620 0.949620i
\(534\) 3.43641 + 8.02571i 0.148708 + 0.347306i
\(535\) 1.92694 4.99208i 0.0833089 0.215826i
\(536\) 0.0971235 12.0527i 0.00419510 0.520597i
\(537\) −0.746338 + 8.53068i −0.0322068 + 0.368126i
\(538\) −23.0129 4.81628i −0.992159 0.207644i
\(539\) 3.89484 6.74606i 0.167763 0.290573i
\(540\) −1.01492 + 12.2201i −0.0436751 + 0.525870i
\(541\) 22.0102 8.01107i 0.946294 0.344423i 0.177646 0.984095i \(-0.443152\pi\)
0.768648 + 0.639672i \(0.220930\pi\)
\(542\) 1.88760 + 5.74813i 0.0810795 + 0.246903i
\(543\) 13.1431 + 3.52169i 0.564025 + 0.151130i
\(544\) 1.95009 + 18.8797i 0.0836094 + 0.809461i
\(545\) 30.2488 2.05868i 1.29572 0.0881840i
\(546\) −56.6091 6.77084i −2.42265 0.289765i
\(547\) 0.797963 + 9.12076i 0.0341184 + 0.389975i 0.993985 + 0.109518i \(0.0349306\pi\)
−0.959866 + 0.280458i \(0.909514\pi\)
\(548\) 18.0750 + 14.4504i 0.772126 + 0.617288i
\(549\) −4.05242 + 11.1339i −0.172953 + 0.475185i
\(550\) 2.27551 + 4.67247i 0.0970283 + 0.199235i
\(551\) 22.8962 24.8669i 0.975413 1.05937i
\(552\) 4.58818 47.9863i 0.195286 2.04243i
\(553\) 6.04052 + 12.9539i 0.256869 + 0.550857i
\(554\) 8.20114 + 6.13983i 0.348433 + 0.260856i
\(555\) 14.3441 29.2714i 0.608872 1.24250i
\(556\) −20.0251 + 14.7416i −0.849254 + 0.625184i
\(557\) 4.72272 + 6.74474i 0.200108 + 0.285784i 0.906647 0.421891i \(-0.138633\pi\)
−0.706539 + 0.707674i \(0.749744\pi\)
\(558\) −3.35512 + 5.40692i −0.142034 + 0.228893i
\(559\) −22.7440 39.3938i −0.961970 1.66618i
\(560\) 35.6057 + 11.8367i 1.50462 + 0.500194i
\(561\) −5.04555 + 1.83643i −0.213023 + 0.0775341i
\(562\) 3.72229 + 6.94804i 0.157015 + 0.293085i
\(563\) −1.68491 6.28819i −0.0710107 0.265016i 0.921288 0.388880i \(-0.127138\pi\)
−0.992299 + 0.123864i \(0.960471\pi\)
\(564\) 1.94184 8.00147i 0.0817662 0.336923i
\(565\) 19.2269 3.00859i 0.808882 0.126572i
\(566\) −9.34078 + 0.518868i −0.392622 + 0.0218096i
\(567\) −26.9302 + 38.4603i −1.13096 + 1.61518i
\(568\) 2.94529 6.18558i 0.123582 0.259541i
\(569\) 37.4721i 1.57091i 0.618918 + 0.785455i \(0.287571\pi\)
−0.618918 + 0.785455i \(0.712429\pi\)
\(570\) −12.4151 27.3239i −0.520011 1.14447i
\(571\) 7.53775i 0.315445i 0.987483 + 0.157723i \(0.0504152\pi\)
−0.987483 + 0.157723i \(0.949585\pi\)
\(572\) −6.04230 + 2.36295i −0.252641 + 0.0987999i
\(573\) −25.3702 + 36.2324i −1.05985 + 1.51363i
\(574\) 2.31147 + 41.6116i 0.0964788 + 1.73683i
\(575\) −15.1583 36.0833i −0.632144 1.50478i
\(576\) −13.0073 4.97308i −0.541970 0.207212i
\(577\) 1.42168 + 5.30580i 0.0591855 + 0.220883i 0.989184 0.146680i \(-0.0468588\pi\)
−0.929998 + 0.367563i \(0.880192\pi\)
\(578\) 7.15829 3.83493i 0.297746 0.159512i
\(579\) 19.2395 7.00261i 0.799567 0.291018i
\(580\) −17.4723 29.9576i −0.725500 1.24392i
\(581\) −4.99725 8.65550i −0.207321 0.359090i
\(582\) −2.89182 1.79444i −0.119870 0.0743819i
\(583\) 3.52733 + 5.03755i 0.146087 + 0.208634i
\(584\) 14.2819 + 2.63712i 0.590989 + 0.109125i
\(585\) 16.2537 5.56280i 0.672007 0.229993i
\(586\) 24.9270 33.2956i 1.02972 1.37543i
\(587\) 17.0818 + 36.6320i 0.705041 + 1.51196i 0.852405 + 0.522882i \(0.175143\pi\)
−0.147364 + 0.989082i \(0.547079\pi\)
\(588\) 30.4962 + 34.6413i 1.25764 + 1.42858i
\(589\) −0.518463 + 11.2554i −0.0213629 + 0.463772i
\(590\) 18.1950 3.89165i 0.749075 0.160217i
\(591\) −9.76306 + 26.8238i −0.401598 + 1.10338i
\(592\) −19.8139 18.0181i −0.814347 0.740538i
\(593\) 0.200240 + 2.28875i 0.00822286 + 0.0939877i 0.999197 0.0400649i \(-0.0127565\pi\)
−0.990974 + 0.134053i \(0.957201\pi\)
\(594\) −0.338467 + 2.82983i −0.0138875 + 0.116109i
\(595\) 2.13709 + 31.4010i 0.0876122 + 1.28732i
\(596\) 18.5045 + 12.3135i 0.757973 + 0.504380i
\(597\) −16.2825 4.36289i −0.666399 0.178561i
\(598\) 46.4197 15.2436i 1.89824 0.623356i
\(599\) −30.5487 + 11.1188i −1.24819 + 0.454302i −0.879788 0.475366i \(-0.842316\pi\)
−0.368397 + 0.929668i \(0.620093\pi\)
\(600\) −30.5405 + 3.92597i −1.24681 + 0.160277i
\(601\) −4.90533 + 8.49628i −0.200093 + 0.346571i −0.948558 0.316603i \(-0.897458\pi\)
0.748465 + 0.663174i \(0.230791\pi\)
\(602\) −12.5251 + 59.8471i −0.510486 + 2.43919i
\(603\) −0.646504 + 7.38957i −0.0263277 + 0.300927i
\(604\) 9.80793 10.2846i 0.399079 0.418472i
\(605\) −9.47334 21.3844i −0.385146 0.869400i
\(606\) −8.75189 + 3.74735i −0.355521 + 0.152225i
\(607\) −10.2565 10.2565i −0.416297 0.416297i 0.467628 0.883925i \(-0.345109\pi\)
−0.883925 + 0.467628i \(0.845109\pi\)
\(608\) −24.4019 + 3.54237i −0.989627 + 0.143662i
\(609\) 70.8319i 2.87025i
\(610\) 21.3192 + 2.96857i 0.863189 + 0.120194i
\(611\) 8.21854 1.44915i 0.332487 0.0586264i
\(612\) −0.277008 11.6776i −0.0111974 0.472040i
\(613\) 44.7677 + 3.91667i 1.80815 + 0.158193i 0.940680 0.339296i \(-0.110189\pi\)
0.867470 + 0.497489i \(0.165744\pi\)
\(614\) −21.1601 + 13.8360i −0.853953 + 0.558374i
\(615\) −16.5252 29.9435i −0.666362 1.20744i
\(616\) 8.17062 + 3.04865i 0.329204 + 0.122833i
\(617\) 7.89633 16.9337i 0.317894 0.681727i −0.680818 0.732452i \(-0.738376\pi\)
0.998713 + 0.0507257i \(0.0161534\pi\)
\(618\) 10.7002 + 32.5843i 0.430426 + 1.31073i
\(619\) 7.34363 + 12.7195i 0.295165 + 0.511241i 0.975023 0.222102i \(-0.0712920\pi\)
−0.679858 + 0.733344i \(0.737959\pi\)
\(620\) 10.8802 + 3.90591i 0.436960 + 0.156865i
\(621\) 3.72693 21.1364i 0.149556 0.848176i
\(622\) 17.3242 + 22.0314i 0.694637 + 0.883378i
\(623\) 11.8490 1.03666i 0.474721 0.0415327i
\(624\) −1.82264 38.3963i −0.0729640 1.53708i
\(625\) −20.3342 + 14.5438i −0.813368 + 0.581750i
\(626\) −31.0501 33.0888i −1.24101 1.32249i
\(627\) −2.65394 6.45089i −0.105988 0.257624i
\(628\) 6.32968 5.57230i 0.252582 0.222359i
\(629\) 7.68333 21.1098i 0.306354 0.841702i
\(630\) −21.2676 8.99568i −0.847323 0.358396i
\(631\) −6.37634 + 7.59902i −0.253838 + 0.302512i −0.877882 0.478877i \(-0.841044\pi\)
0.624044 + 0.781389i \(0.285489\pi\)
\(632\) −7.93830 + 5.46366i −0.315769 + 0.217333i
\(633\) −16.8920 + 11.8279i −0.671396 + 0.470116i
\(634\) 0.682425 + 2.91424i 0.0271025 + 0.115739i
\(635\) −0.419348 + 21.7103i −0.0166413 + 0.861548i
\(636\) −34.9608 + 10.2623i −1.38629 + 0.406925i
\(637\) −19.7692 + 42.3952i −0.783284 + 1.67976i
\(638\) −3.80645 7.10512i −0.150699 0.281294i
\(639\) −2.10815 + 3.65141i −0.0833969 + 0.144448i
\(640\) −3.89231 + 24.9970i −0.153857 + 0.988093i
\(641\) −1.53016 + 1.28396i −0.0604379 + 0.0507134i −0.672506 0.740091i \(-0.734782\pi\)
0.612068 + 0.790805i \(0.290338\pi\)
\(642\) 5.49143 + 4.91346i 0.216730 + 0.193919i
\(643\) −38.0005 26.6082i −1.49859 1.04933i −0.981069 0.193657i \(-0.937965\pi\)
−0.517524 0.855669i \(-0.673146\pi\)
\(644\) −60.1625 26.3358i −2.37074 1.03778i
\(645\) −12.0484 48.7091i −0.474404 1.91792i
\(646\) −10.5106 17.8135i −0.413533 0.700863i
\(647\) 8.45933 + 8.45933i 0.332571 + 0.332571i 0.853562 0.520991i \(-0.174438\pi\)
−0.520991 + 0.853562i \(0.674438\pi\)
\(648\) −28.5813 13.6091i −1.12278 0.534617i
\(649\) 4.25885 0.750951i 0.167175 0.0294774i
\(650\) −16.0582 26.7610i −0.629854 1.04965i
\(651\) 15.1765 + 18.0866i 0.594814 + 0.708872i
\(652\) 11.1134 + 18.2362i 0.435236 + 0.714183i
\(653\) 13.0943 3.50860i 0.512419 0.137302i 0.00666129 0.999978i \(-0.497880\pi\)
0.505758 + 0.862676i \(0.331213\pi\)
\(654\) −12.0816 + 39.9644i −0.472428 + 1.56273i
\(655\) 23.8417 + 35.4890i 0.931573 + 1.38667i
\(656\) −27.4096 + 6.18595i −1.07017 + 0.241521i
\(657\) −8.63349 2.31334i −0.336825 0.0902519i
\(658\) −9.53159 5.91457i −0.371580 0.230574i
\(659\) −2.39148 + 13.5628i −0.0931589 + 0.528331i 0.902137 + 0.431450i \(0.141998\pi\)
−0.995296 + 0.0968810i \(0.969113\pi\)
\(660\) −7.12665 + 0.655136i −0.277404 + 0.0255011i
\(661\) 7.08365 + 5.94389i 0.275522 + 0.231190i 0.770069 0.637960i \(-0.220222\pi\)
−0.494547 + 0.869151i \(0.664666\pi\)
\(662\) −11.8598 + 1.70468i −0.460946 + 0.0662544i
\(663\) 29.2226 13.6267i 1.13491 0.529218i
\(664\) 5.19679 4.28974i 0.201675 0.166474i
\(665\) −40.6448 + 4.45569i −1.57614 + 0.172784i
\(666\) 11.2784 + 12.0189i 0.437029 + 0.465723i
\(667\) 25.6535 + 55.0141i 0.993307 + 2.13015i
\(668\) 8.39586 10.5018i 0.324846 0.406328i
\(669\) 2.43315 2.89971i 0.0940709 0.112109i
\(670\) 13.3732 1.65929i 0.516652 0.0641040i
\(671\) 4.92685 + 0.868736i 0.190199 + 0.0335372i
\(672\) −32.5886 + 40.0962i −1.25713 + 1.54675i
\(673\) 4.04925 15.1120i 0.156087 0.582526i −0.842923 0.538035i \(-0.819167\pi\)
0.999010 0.0444906i \(-0.0141665\pi\)
\(674\) 10.4844 20.7372i 0.403846 0.798766i
\(675\) −13.6933 + 0.666569i −0.527056 + 0.0256563i
\(676\) 11.6131 5.75439i 0.446656 0.221323i
\(677\) −9.73875 36.3455i −0.374291 1.39687i −0.854378 0.519651i \(-0.826062\pi\)
0.480088 0.877221i \(-0.340605\pi\)
\(678\) −5.48963 + 26.2304i −0.210828 + 1.00737i
\(679\) −3.55188 + 2.98039i −0.136309 + 0.114377i
\(680\) −20.6400 + 4.92923i −0.791509 + 0.189027i
\(681\) −3.55178 20.1432i −0.136105 0.771887i
\(682\) 2.49431 + 0.998692i 0.0955121 + 0.0382419i
\(683\) −9.06027 + 9.06027i −0.346682 + 0.346682i −0.858872 0.512190i \(-0.828834\pi\)
0.512190 + 0.858872i \(0.328834\pi\)
\(684\) 15.1430 0.984961i 0.579007 0.0376609i
\(685\) −13.3667 + 22.1524i −0.510714 + 0.846401i
\(686\) 19.6253 8.40307i 0.749297 0.320831i
\(687\) 6.33230 9.04346i 0.241592 0.345029i
\(688\) −41.1922 1.64167i −1.57044 0.0625882i
\(689\) −23.7379 28.2898i −0.904344 1.07775i
\(690\) 53.8597 1.94941i 2.05041 0.0742127i
\(691\) 18.1492 + 10.4785i 0.690429 + 0.398619i 0.803773 0.594937i \(-0.202823\pi\)
−0.113344 + 0.993556i \(0.536156\pi\)
\(692\) 15.9497 47.2814i 0.606318 1.79737i
\(693\) −4.86420 2.26822i −0.184776 0.0861624i
\(694\) −16.1769 8.17883i −0.614067 0.310464i
\(695\) −19.2750 20.0343i −0.731144 0.759945i
\(696\) 47.0967 7.91366i 1.78520 0.299966i
\(697\) −13.5191 19.3072i −0.512072 0.731314i
\(698\) 26.1943 + 33.3116i 0.991470 + 1.26086i
\(699\) 10.8570 + 9.11007i 0.410648 + 0.344575i
\(700\) −7.89977 + 41.2000i −0.298583 + 1.55721i
\(701\) 21.1527 + 7.69896i 0.798927 + 0.290786i 0.709042 0.705166i \(-0.249128\pi\)
0.0898855 + 0.995952i \(0.471350\pi\)
\(702\) 0.543721 17.1059i 0.0205214 0.645621i
\(703\) 27.8125 + 8.84260i 1.04897 + 0.333505i
\(704\) −1.11421 + 5.77332i −0.0419934 + 0.217590i
\(705\) 9.15335 + 0.979272i 0.344735 + 0.0368815i
\(706\) 26.8794 35.9036i 1.01162 1.35125i
\(707\) 1.13045 + 12.9211i 0.0425151 + 0.485950i
\(708\) −3.84960 + 25.3313i −0.144677 + 0.952008i
\(709\) −22.8469 4.02852i −0.858032 0.151294i −0.272711 0.962096i \(-0.587920\pi\)
−0.585321 + 0.810802i \(0.699032\pi\)
\(710\) 7.28776 + 2.35769i 0.273505 + 0.0884827i
\(711\) 5.13619 2.96538i 0.192622 0.111210i
\(712\) 2.01311 + 7.76270i 0.0754444 + 0.290919i
\(713\) −18.3379 8.55110i −0.686759 0.320241i
\(714\) −41.4866 12.5418i −1.55260 0.469365i
\(715\) −3.50486 6.35076i −0.131074 0.237505i
\(716\) −1.85509 + 7.64402i −0.0693280 + 0.285670i
\(717\) −1.66074 + 18.9824i −0.0620217 + 0.708911i
\(718\) −12.4970 11.1817i −0.466386 0.417298i
\(719\) −2.58088 14.6369i −0.0962504 0.545863i −0.994357 0.106085i \(-0.966168\pi\)
0.898107 0.439778i \(-0.144943\pi\)
\(720\) 3.60518 15.1461i 0.134357 0.564461i
\(721\) 46.7249 1.74012
\(722\) 22.5594 14.5970i 0.839575 0.543243i
\(723\) −36.1695 + 36.1695i −1.34516 + 1.34516i
\(724\) 11.4497 + 5.01205i 0.425525 + 0.186271i
\(725\) 30.6429 23.7578i 1.13805 0.882344i
\(726\) 32.1581 1.78634i 1.19350 0.0662972i
\(727\) −47.2506 4.13389i −1.75243 0.153318i −0.834747 0.550634i \(-0.814386\pi\)
−0.917682 + 0.397316i \(0.869942\pi\)
\(728\) −50.4744 13.9614i −1.87070 0.517446i
\(729\) 1.36136 + 0.785983i 0.0504208 + 0.0291105i
\(730\) −0.829185 + 16.2164i −0.0306895 + 0.600195i
\(731\) −11.8270 32.4945i −0.437439 1.20185i
\(732\) −14.2075 + 26.0140i −0.525126 + 0.961507i
\(733\) −7.10733 + 26.5249i −0.262515 + 0.979720i 0.701238 + 0.712927i \(0.252631\pi\)
−0.963754 + 0.266794i \(0.914036\pi\)
\(734\) 29.3451 6.87171i 1.08315 0.253639i
\(735\) −33.9249 + 38.8799i −1.25134 + 1.43411i
\(736\) 10.7893 42.9449i 0.397698 1.58297i
\(737\) 3.12014 0.272977i 0.114932 0.0100552i
\(738\) 17.1170 2.46032i 0.630085 0.0905658i
\(739\) 21.9164 + 7.97691i 0.806207 + 0.293435i 0.712056 0.702122i \(-0.247764\pi\)
0.0941511 + 0.995558i \(0.469986\pi\)
\(740\) 17.0661 24.6028i 0.627363 0.904418i
\(741\) 19.2528 + 37.2019i 0.707271 + 1.36664i
\(742\) −1.57703 + 49.6148i −0.0578947 + 1.82142i
\(743\) 11.2895 5.26438i 0.414171 0.193131i −0.204352 0.978897i \(-0.565509\pi\)
0.618524 + 0.785766i \(0.287731\pi\)
\(744\) −10.3304 + 12.1117i −0.378730 + 0.444036i
\(745\) −10.9353 + 22.3152i −0.400637 + 0.817565i
\(746\) −17.9175 2.14306i −0.656007 0.0784629i
\(747\) −3.39712 + 2.37869i −0.124294 + 0.0870316i
\(748\) −4.83549 + 0.971395i −0.176803 + 0.0355177i
\(749\) 8.69408 5.01953i 0.317675 0.183410i
\(750\) −8.82876 33.2750i −0.322381 1.21503i
\(751\) 16.7952 + 46.1443i 0.612864 + 1.68383i 0.723806 + 0.690004i \(0.242391\pi\)
−0.110942 + 0.993827i \(0.535387\pi\)
\(752\) 2.86774 6.99844i 0.104576 0.255207i
\(753\) −38.3058 + 10.2640i −1.39594 + 0.374041i
\(754\) 26.4898 + 40.5124i 0.964703 + 1.47538i
\(755\) 12.8371 + 9.36320i 0.467188 + 0.340762i
\(756\) −15.8766 + 16.6481i −0.577426 + 0.605486i
\(757\) 41.6411 + 29.1574i 1.51347 + 1.05975i 0.976338 + 0.216249i \(0.0693823\pi\)
0.537135 + 0.843496i \(0.319507\pi\)
\(758\) 10.1741 + 4.07360i 0.369542 + 0.147960i
\(759\) 12.5264 0.454679
\(760\) −7.50364 26.5273i −0.272186 0.962245i
\(761\) −8.74427 −0.316980 −0.158490 0.987361i \(-0.550662\pi\)
−0.158490 + 0.987361i \(0.550662\pi\)
\(762\) −27.7594 11.1145i −1.00562 0.402638i
\(763\) 46.5939 + 32.6254i 1.68681 + 1.18112i
\(764\) −28.0400 + 29.4026i −1.01445 + 1.06375i
\(765\) 12.9027 2.01899i 0.466496 0.0729966i
\(766\) −0.992087 1.51726i −0.0358455 0.0548207i
\(767\) −25.0845 + 6.72138i −0.905750 + 0.242695i
\(768\) −30.3013 17.1887i −1.09340 0.620244i
\(769\) −1.74290 4.78858i −0.0628506 0.172681i 0.904292 0.426914i \(-0.140399\pi\)
−0.967143 + 0.254233i \(0.918177\pi\)
\(770\) −2.18124 + 9.50310i −0.0786063 + 0.342468i
\(771\) 43.3083 25.0040i 1.55971 0.900499i
\(772\) 18.4385 3.70409i 0.663617 0.133313i
\(773\) −10.5454 + 7.38395i −0.379291 + 0.265582i −0.747639 0.664106i \(-0.768812\pi\)
0.368348 + 0.929688i \(0.379924\pi\)
\(774\) 25.1914 + 3.01306i 0.905486 + 0.108302i
\(775\) −2.73418 + 12.6320i −0.0982145 + 0.453757i
\(776\) −2.37851 2.02869i −0.0853837 0.0728259i
\(777\) 55.4251 25.8452i 1.98837 0.927190i
\(778\) −0.112609 + 3.54277i −0.00403723 + 0.127015i
\(779\) 24.3372 18.5821i 0.871972 0.665772i
\(780\) 42.2906 7.64913i 1.51424 0.273883i
\(781\) 1.67290 + 0.608888i 0.0598612 + 0.0217877i
\(782\) 36.7644 5.28436i 1.31469 0.188968i
\(783\) 21.1820 1.85319i 0.756984 0.0662275i
\(784\) 22.9139 + 35.6678i 0.818354 + 1.27385i
\(785\) 7.10417 + 6.19879i 0.253559 + 0.221244i
\(786\) −57.3237 + 13.4235i −2.04467 + 0.478799i
\(787\) 6.48699 24.2098i 0.231236 0.862985i −0.748574 0.663052i \(-0.769261\pi\)
0.979810 0.199933i \(-0.0640724\pi\)
\(788\) −12.5681 + 23.0123i −0.447721 + 0.819778i
\(789\) −5.27686 14.4980i −0.187861 0.516144i
\(790\) −7.21958 7.99768i −0.256861 0.284545i
\(791\) 31.6188 + 18.2551i 1.12423 + 0.649077i
\(792\) 0.964704 3.48766i 0.0342793 0.123929i
\(793\) −29.9284 2.61839i −1.06279 0.0929818i
\(794\) −26.4288 + 1.46808i −0.937923 + 0.0521004i
\(795\) −16.4998 37.2454i −0.585187 1.32096i
\(796\) −14.1846 6.20924i −0.502761 0.220081i
\(797\) 39.4005 39.4005i 1.39564 1.39564i 0.583584 0.812053i \(-0.301650\pi\)
0.812053 0.583584i \(-0.198350\pi\)
\(798\) 14.0577 54.5223i 0.497638 1.93007i
\(799\) 6.34411 0.224438
\(800\) −28.2768 0.649569i −0.999736 0.0229657i
\(801\) −0.857025 4.86043i −0.0302815 0.171735i
\(802\) 21.0664 + 18.8491i 0.743880 + 0.665586i
\(803\) −0.328922 + 3.75960i −0.0116074 + 0.132673i
\(804\) −4.37644 + 18.0334i −0.154345 + 0.635988i
\(805\) 20.3702 70.5439i 0.717955 2.48634i
\(806\) −15.4443 4.66896i −0.544002 0.164457i
\(807\) 32.8067 + 15.2980i 1.15485 + 0.538516i
\(808\) −8.46508 + 2.19526i −0.297800 + 0.0772289i
\(809\) 34.3420 19.8274i 1.20740 0.697093i 0.245210 0.969470i \(-0.421143\pi\)
0.962191 + 0.272377i \(0.0878097\pi\)
\(810\) 10.8940 33.6741i 0.382778 1.18319i
\(811\) 34.2203 + 6.03397i 1.20164 + 0.211881i 0.738407 0.674356i \(-0.235579\pi\)
0.463232 + 0.886237i \(0.346690\pi\)
\(812\) 9.77548 64.3250i 0.343052 2.25737i
\(813\) −0.811833 9.27929i −0.0284722 0.325439i
\(814\) 4.17077 5.57102i 0.146186 0.195264i
\(815\) −18.5834 + 14.9914i −0.650947 + 0.525125i
\(816\) 3.70407 28.9860i 0.129668 1.01471i
\(817\) 41.5453 17.0920i 1.45349 0.597975i
\(818\) 1.42159 44.7245i 0.0497048 1.56375i
\(819\) 30.2861 + 11.0232i 1.05828 + 0.385183i
\(820\) −10.8747 29.4734i −0.379760 1.02926i
\(821\) 12.2159 + 10.2504i 0.426339 + 0.357741i 0.830568 0.556917i \(-0.188016\pi\)
−0.404229 + 0.914658i \(0.632460\pi\)
\(822\) −22.0227 28.0065i −0.768130 0.976840i
\(823\) −26.3244 37.5952i −0.917612 1.31049i −0.950402 0.311023i \(-0.899328\pi\)
0.0327907 0.999462i \(-0.489561\pi\)
\(824\) 5.22031 + 31.0677i 0.181858 + 1.08230i
\(825\) −1.77092 7.80300i −0.0616554 0.271665i
\(826\) 31.1522 + 15.7501i 1.08392 + 0.548017i
\(827\) −20.7610 9.68099i −0.721929 0.336641i 0.0266878 0.999644i \(-0.491504\pi\)
−0.748617 + 0.663003i \(0.769282\pi\)
\(828\) −8.71044 + 25.8212i −0.302709 + 0.897350i
\(829\) −26.5054 15.3029i −0.920572 0.531493i −0.0367546 0.999324i \(-0.511702\pi\)
−0.883818 + 0.467832i \(0.845035\pi\)
\(830\) 5.51653 + 5.13114i 0.191481 + 0.178105i
\(831\) −10.1386 12.0827i −0.351704 0.419144i
\(832\) 3.64386 35.1207i 0.126328 1.21759i
\(833\) −20.3967 + 29.1295i −0.706703 + 1.00928i
\(834\) 35.1932 15.0689i 1.21864 0.521793i
\(835\) 12.8709 + 7.76623i 0.445415 + 0.268761i
\(836\) −1.51986 6.22456i −0.0525654 0.215281i
\(837\) −5.01169 + 5.01169i −0.173229 + 0.173229i
\(838\) −6.45421 2.58419i −0.222957 0.0892693i
\(839\) −0.332282 1.88447i −0.0114717 0.0650590i 0.978535 0.206083i \(-0.0660717\pi\)
−0.990006 + 0.141024i \(0.954961\pi\)
\(840\) −49.2194 30.2424i −1.69823 1.04346i
\(841\) −23.8523 + 20.0144i −0.822492 + 0.690153i
\(842\) 7.24107 34.5990i 0.249544 1.19236i
\(843\) −3.14091 11.7220i −0.108179 0.403728i
\(844\) −16.9726 + 8.41008i −0.584220 + 0.289487i
\(845\) 8.08054 + 12.0281i 0.277979 + 0.413779i
\(846\) −2.10015 + 4.15388i −0.0722045 + 0.142813i
\(847\) 11.3568 42.3843i 0.390225 1.45634i
\(848\) −33.1655 + 4.49460i −1.13891 + 0.154345i
\(849\) 14.1843 + 2.50108i 0.486806 + 0.0858370i
\(850\) −8.48932 22.1544i −0.291181 0.759889i
\(851\) −33.6874 + 40.1471i −1.15479 + 1.37623i
\(852\) −6.58644 + 8.23855i −0.225648 + 0.282248i
\(853\) 9.10156 + 19.5184i 0.311631 + 0.668296i 0.998276 0.0586977i \(-0.0186948\pi\)
−0.686644 + 0.726993i \(0.740917\pi\)
\(854\) 27.6332 + 29.4475i 0.945587 + 1.00767i
\(855\) 3.31170 + 16.6398i 0.113258 + 0.569070i
\(856\) 4.30887 + 5.21996i 0.147274 + 0.178415i
\(857\) −33.6867 + 15.7084i −1.15072 + 0.536588i −0.901892 0.431961i \(-0.857822\pi\)
−0.248824 + 0.968549i \(0.580044\pi\)
\(858\) 9.88712 1.42113i 0.337541 0.0485167i
\(859\) −18.0015 15.1050i −0.614203 0.515377i 0.281773 0.959481i \(-0.409078\pi\)
−0.895975 + 0.444104i \(0.853522\pi\)
\(860\) −4.21923 45.8973i −0.143875 1.56509i
\(861\) 11.1419 63.1889i 0.379715 2.15347i
\(862\) 26.2757 + 16.3047i 0.894956 + 0.555341i
\(863\) 24.1147 + 6.46152i 0.820875 + 0.219953i 0.644729 0.764411i \(-0.276970\pi\)
0.176146 + 0.984364i \(0.443637\pi\)
\(864\) −12.8433 8.69646i −0.436937 0.295860i
\(865\) 54.7440 + 10.7469i 1.86135 + 0.365404i
\(866\) −10.7056 + 35.4126i −0.363790 + 1.20337i
\(867\) −12.0767 + 3.23595i −0.410148 + 0.109899i
\(868\) 11.2862 + 18.5197i 0.383079 + 0.628598i
\(869\) −1.60966 1.91831i −0.0546038 0.0650743i
\(870\) 15.6758 + 51.0409i 0.531459 + 1.73045i
\(871\) −18.5226 + 3.26604i −0.627615 + 0.110665i
\(872\) −16.4872 + 34.6257i −0.558327 + 1.17257i
\(873\) 1.36042 + 1.36042i 0.0460434 + 0.0460434i
\(874\) 8.82815 + 47.4380i 0.298616 + 1.60461i
\(875\) −46.8234 2.71597i −1.58292 0.0918167i
\(876\) −20.4834 8.96651i −0.692071 0.302950i
\(877\) 19.0082 + 13.3097i 0.641861 + 0.449436i 0.848654 0.528949i \(-0.177414\pi\)
−0.206792 + 0.978385i \(0.566302\pi\)
\(878\) 14.5714 + 13.0377i 0.491761 + 0.440002i
\(879\) −49.0543 + 41.1614i −1.65456 + 1.38834i
\(880\) −6.56238 0.388593i −0.221218 0.0130995i
\(881\) 1.46272 2.53351i 0.0492803 0.0853560i −0.840333 0.542070i \(-0.817641\pi\)
0.889613 + 0.456715i \(0.150974\pi\)
\(882\) −12.3208 22.9979i −0.414862 0.774381i
\(883\) 19.5377 41.8987i 0.657496 1.41000i −0.240784 0.970579i \(-0.577404\pi\)
0.898279 0.439425i \(-0.144818\pi\)
\(884\) 28.4188 8.34193i 0.955826 0.280570i
\(885\) −28.6411 0.553221i −0.962759 0.0185963i
\(886\) −12.2558 52.3373i −0.411741 1.75831i
\(887\) 27.1700 19.0246i 0.912278 0.638784i −0.0202840 0.999794i \(-0.506457\pi\)
0.932562 + 0.361010i \(0.117568\pi\)
\(888\) 23.3770 + 33.9651i 0.784481 + 1.13979i
\(889\) −26.1859 + 31.2071i −0.878246 + 1.04665i
\(890\) −8.30890 + 3.36931i −0.278515 + 0.112940i
\(891\) 2.81345 7.72988i 0.0942540 0.258961i
\(892\) 2.60982 2.29754i 0.0873832 0.0769272i
\(893\) 0.339760 + 8.23480i 0.0113696 + 0.275567i
\(894\) −23.4166 24.9540i −0.783167 0.834588i
\(895\) −8.74444 0.935525i −0.292295 0.0312712i
\(896\) −35.1286 + 31.9153i −1.17356 + 1.06622i
\(897\) −74.9360 + 6.55605i −2.50204 + 0.218900i
\(898\) 12.8078 + 16.2878i 0.427400 + 0.543530i
\(899\) 3.48086 19.7409i 0.116093 0.658397i
\(900\) 17.3161 + 1.77548i 0.577204 + 0.0591826i
\(901\) −14.0370 24.3127i −0.467639 0.809974i
\(902\) −2.27808 6.93721i −0.0758517 0.230984i
\(903\) 39.7838 85.3166i 1.32392 2.83916i
\(904\) −8.60538 + 23.0631i −0.286211 + 0.767068i
\(905\) −3.87672 + 13.4254i −0.128866 + 0.446276i
\(906\) −18.3127 + 11.9741i −0.608398 + 0.397813i
\(907\) −44.8791 3.92641i −1.49019 0.130374i −0.687242 0.726428i \(-0.741179\pi\)
−0.802945 + 0.596054i \(0.796735\pi\)
\(908\) −0.445554 18.7829i −0.0147862 0.623333i
\(909\) 5.30021 0.934570i 0.175797 0.0309977i
\(910\) 8.07499 57.9916i 0.267683 1.92240i
\(911\) 44.2891i 1.46736i 0.679493 + 0.733682i \(0.262200\pi\)
−0.679493 + 0.733682i \(0.737800\pi\)
\(912\) 37.8229 + 3.25562i 1.25244 + 0.107804i
\(913\) 1.23819 + 1.23819i 0.0409780 + 0.0409780i
\(914\) 17.3271 7.41904i 0.573129 0.245400i
\(915\) −30.9163 11.9337i −1.02206 0.394515i
\(916\) 6.99867 7.33878i 0.231243 0.242480i
\(917\) −6.99076 + 79.9047i −0.230855 + 2.63869i
\(918\) 2.66516 12.7346i 0.0879634 0.420303i
\(919\) 25.6252 44.3841i 0.845297 1.46410i −0.0400670 0.999197i \(-0.512757\pi\)
0.885363 0.464899i \(-0.153910\pi\)
\(920\) 49.1810 + 5.66283i 1.62145 + 0.186698i
\(921\) 36.5767 13.3128i 1.20524 0.438673i
\(922\) 31.4141 10.3160i 1.03457 0.339738i
\(923\) −10.3264 2.76696i −0.339898 0.0910755i
\(924\) −11.1779 7.43818i −0.367727 0.244698i
\(925\) 29.7712 + 15.3090i 0.978872 + 0.503355i
\(926\) 1.07526 8.98995i 0.0353352 0.295428i
\(927\) −1.68977 19.3142i −0.0554994 0.634362i
\(928\) 43.8624 0.686884i 1.43985 0.0225481i
\(929\) 5.70683 15.6794i 0.187235 0.514424i −0.810188 0.586170i \(-0.800635\pi\)
0.997423 + 0.0717462i \(0.0228572\pi\)
\(930\) −14.9388 9.67440i −0.489863 0.317236i
\(931\) −38.9031 24.9153i −1.27500 0.816566i
\(932\) 8.60232 + 9.77155i 0.281779 + 0.320078i
\(933\) −18.2360 39.1073i −0.597020 1.28031i
\(934\) −8.78820 + 11.7386i −0.287559 + 0.384100i
\(935\) −1.78556 5.21716i −0.0583942 0.170619i
\(936\) −3.94574 + 21.3690i −0.128970 + 0.698468i
\(937\) −9.81895 14.0229i −0.320771 0.458109i 0.626090 0.779751i \(-0.284654\pi\)
−0.946861 + 0.321642i \(0.895765\pi\)
\(938\) 21.4819 + 13.3300i 0.701409 + 0.435241i
\(939\) 34.9302 + 60.5010i 1.13991 + 1.97437i
\(940\) 8.17735 + 2.15256i 0.266716 + 0.0702089i
\(941\) 41.6834 15.1715i 1.35884 0.494578i 0.443145 0.896450i \(-0.353863\pi\)
0.915696 + 0.401872i \(0.131640\pi\)
\(942\) −11.4445 + 6.13120i −0.372882 + 0.199765i
\(943\) 14.2316 + 53.1132i 0.463446 + 1.72960i
\(944\) −6.99193 + 22.4730i −0.227568 + 0.731434i
\(945\) −20.7800 15.1567i −0.675972 0.493046i
\(946\) −0.594150 10.6960i −0.0193175 0.347758i
\(947\) −3.47946 + 4.96918i −0.113067 + 0.161477i −0.871697 0.490045i \(-0.836980\pi\)
0.758630 + 0.651522i \(0.225869\pi\)
\(948\) 13.8177 5.40368i 0.448780 0.175503i
\(949\) 22.6630i 0.735674i
\(950\) 28.3023 12.2058i 0.918247 0.396009i
\(951\) 4.60811i 0.149428i
\(952\) −35.9446 17.1152i −1.16497 0.554707i
\(953\) 9.70663 13.8625i 0.314429 0.449051i −0.630566 0.776135i \(-0.717177\pi\)
0.944995 + 0.327085i \(0.106066\pi\)
\(954\) 20.5658 1.14240i 0.665843 0.0369867i
\(955\) −36.7000 26.7685i −1.18758 0.866210i
\(956\) −4.12794 + 17.0094i −0.133507 + 0.550124i
\(957\) 3.21192 + 11.9870i 0.103827 + 0.387486i
\(958\) 0.0920917 + 0.171898i 0.00297535 + 0.00555378i
\(959\) −45.6122 + 16.6015i −1.47289 + 0.536089i
\(960\) 14.6094 36.1052i 0.471517 1.16529i
\(961\) −12.1591 21.0602i −0.392229 0.679361i
\(962\) −22.0349 + 35.5102i −0.710433 + 1.14489i
\(963\) −2.38929 3.41226i −0.0769938 0.109959i
\(964\) −37.8386 + 27.8551i −1.21870 + 0.897154i
\(965\) 6.80865 + 19.8939i 0.219178 + 0.640407i
\(966\) 80.9415 + 60.5973i 2.60425 + 1.94969i
\(967\) 0.583075 + 1.25041i 0.0187504 + 0.0402104i 0.915460 0.402409i \(-0.131827\pi\)
−0.896710 + 0.442619i \(0.854049\pi\)
\(968\) 29.4505 + 2.81589i 0.946574 + 0.0905060i
\(969\) 9.50273 + 30.3927i 0.305272 + 0.976354i
\(970\) 1.89987 2.93371i 0.0610012 0.0941957i
\(971\) −5.76500 + 15.8392i −0.185008 + 0.508304i −0.997174 0.0751212i \(-0.976066\pi\)
0.812167 + 0.583425i \(0.198288\pi\)
\(972\) 25.2176 + 20.1606i 0.808854 + 0.646651i
\(973\) −4.54580 51.9587i −0.145732 1.66572i
\(974\) 30.6321 + 3.66381i 0.981516 + 0.117396i
\(975\) 14.6780 + 45.7527i 0.470072 + 1.46526i
\(976\) −16.4926 + 21.6635i −0.527915 + 0.693432i
\(977\) 32.9295 + 8.82345i 1.05351 + 0.282287i 0.743701 0.668512i \(-0.233068\pi\)
0.309808 + 0.950799i \(0.399735\pi\)
\(978\) −10.2581 31.2379i −0.328017 0.998878i
\(979\) −1.95823 + 0.712738i −0.0625853 + 0.0227792i
\(980\) −36.1743 + 30.6263i −1.15555 + 0.978321i
\(981\) 11.8010 20.4399i 0.376777 0.652597i
\(982\) −26.8075 5.61042i −0.855461 0.179036i
\(983\) 4.57878 52.3356i 0.146040 1.66925i −0.470861 0.882207i \(-0.656057\pi\)
0.616902 0.787040i \(-0.288388\pi\)
\(984\) 43.2596 + 0.348597i 1.37907 + 0.0111129i
\(985\) −27.3488 10.5566i −0.871407 0.336363i
\(986\) 14.4837 + 33.8265i 0.461254 + 1.07725i
\(987\) 12.2121 + 12.2121i 0.388714 + 0.388714i
\(988\) 12.3500 + 36.4414i 0.392906 + 1.15936i
\(989\) 80.6728i 2.56525i
\(990\) 4.00709 + 0.557963i 0.127354 + 0.0177332i
\(991\) −3.52997 + 0.622429i −0.112133 + 0.0197721i −0.229433 0.973324i \(-0.573687\pi\)
0.117300 + 0.993097i \(0.462576\pi\)
\(992\) −11.0529 + 9.57339i −0.350931 + 0.303955i
\(993\) 18.3768 + 1.60776i 0.583169 + 0.0510207i
\(994\) 7.86424 + 12.0272i 0.249439 + 0.381481i
\(995\) 4.80272 16.6323i 0.152256 0.527278i
\(996\) −9.29603 + 4.60628i −0.294556 + 0.145955i
\(997\) −25.5604 + 54.8144i −0.809505 + 1.73599i −0.144025 + 0.989574i \(0.546005\pi\)
−0.665480 + 0.746416i \(0.731773\pi\)
\(998\) −43.5321 + 14.2953i −1.37799 + 0.452510i
\(999\) 9.17901 + 15.8985i 0.290411 + 0.503006i
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 380.2.bj.a.23.8 672
4.3 odd 2 inner 380.2.bj.a.23.24 yes 672
5.2 odd 4 inner 380.2.bj.a.327.36 yes 672
19.5 even 9 inner 380.2.bj.a.43.6 yes 672
20.7 even 4 inner 380.2.bj.a.327.6 yes 672
76.43 odd 18 inner 380.2.bj.a.43.36 yes 672
95.62 odd 36 inner 380.2.bj.a.347.24 yes 672
380.347 even 36 inner 380.2.bj.a.347.8 yes 672
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
380.2.bj.a.23.8 672 1.1 even 1 trivial
380.2.bj.a.23.24 yes 672 4.3 odd 2 inner
380.2.bj.a.43.6 yes 672 19.5 even 9 inner
380.2.bj.a.43.36 yes 672 76.43 odd 18 inner
380.2.bj.a.327.6 yes 672 20.7 even 4 inner
380.2.bj.a.327.36 yes 672 5.2 odd 4 inner
380.2.bj.a.347.8 yes 672 380.347 even 36 inner
380.2.bj.a.347.24 yes 672 95.62 odd 36 inner