Properties

Label 441.2.y.a.121.26
Level $441$
Weight $2$
Character 441.121
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
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] = [441,2,Mod(25,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([28, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 121.26
Character \(\chi\) \(=\) 441.121
Dual form 441.2.y.a.277.26

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0497214 + 0.0239445i) q^{2} +(0.670713 + 1.59692i) q^{3} +(-1.24508 + 1.56128i) q^{4} +(-2.85636 + 0.881071i) q^{5} +(-0.0715862 - 0.0633410i) q^{6} +(2.26871 + 1.36123i) q^{7} +(0.0490832 - 0.215048i) q^{8} +(-2.10029 + 2.14215i) q^{9} +O(q^{10})\) \(q+(-0.0497214 + 0.0239445i) q^{2} +(0.670713 + 1.59692i) q^{3} +(-1.24508 + 1.56128i) q^{4} +(-2.85636 + 0.881071i) q^{5} +(-0.0715862 - 0.0633410i) q^{6} +(2.26871 + 1.36123i) q^{7} +(0.0490832 - 0.215048i) q^{8} +(-2.10029 + 2.14215i) q^{9} +(0.120925 - 0.112202i) q^{10} +(-0.124174 + 1.65699i) q^{11} +(-3.32833 - 0.941118i) q^{12} +(0.492886 - 6.57711i) q^{13} +(-0.145397 - 0.0133590i) q^{14} +(-3.32280 - 3.97043i) q^{15} +(-0.886020 - 3.88191i) q^{16} +(-1.40631 + 3.58321i) q^{17} +(0.0531364 - 0.156801i) q^{18} +(-0.187231 + 0.324293i) q^{19} +(2.18080 - 5.55659i) q^{20} +(-0.652118 + 4.53594i) q^{21} +(-0.0335017 - 0.0853610i) q^{22} +(-3.50236 - 0.527896i) q^{23} +(0.376334 - 0.0658536i) q^{24} +(3.25133 - 2.21672i) q^{25} +(0.132979 + 0.338825i) q^{26} +(-4.82952 - 1.91722i) q^{27} +(-4.94999 + 1.84726i) q^{28} +(-2.13863 + 5.44914i) q^{29} +(0.260284 + 0.117852i) q^{30} -2.14649 q^{31} +(0.412061 + 0.516708i) q^{32} +(-2.72936 + 0.913068i) q^{33} +(-0.0158749 - 0.211835i) q^{34} +(-7.67960 - 1.88927i) q^{35} +(-0.729469 - 5.94629i) q^{36} +(6.02507 - 0.908134i) q^{37} +(0.00154431 - 0.0206074i) q^{38} +(10.8337 - 3.62426i) q^{39} +(0.0492728 + 0.657500i) q^{40} +(6.33621 + 5.87914i) q^{41} +(-0.0761868 - 0.241148i) q^{42} +(-7.14048 + 6.62540i) q^{43} +(-2.43242 - 2.25695i) q^{44} +(4.11180 - 7.96925i) q^{45} +(0.186783 - 0.0576148i) q^{46} +(10.9824 - 5.28885i) q^{47} +(5.60482 - 4.01855i) q^{48} +(3.29410 + 6.17648i) q^{49} +(-0.108582 + 0.188070i) q^{50} +(-6.66532 + 0.157553i) q^{51} +(9.65504 + 8.95857i) q^{52} +(-11.0046 - 1.65868i) q^{53} +(0.286037 - 0.0203141i) q^{54} +(-1.10524 - 4.84236i) q^{55} +(0.404085 - 0.421068i) q^{56} +(-0.643447 - 0.0814841i) q^{57} +(-0.0241416 - 0.322147i) q^{58} +(-0.762969 - 3.34278i) q^{59} +(10.3361 - 0.244322i) q^{60} +(5.50709 + 6.90567i) q^{61} +(0.106726 - 0.0513967i) q^{62} +(-7.68090 + 2.00094i) q^{63} +(7.14198 + 3.43940i) q^{64} +(4.38704 + 19.2209i) q^{65} +(0.113844 - 0.110752i) q^{66} -1.30769 q^{67} +(-3.84344 - 6.65703i) q^{68} +(-1.50608 - 5.94705i) q^{69} +(0.427078 - 0.0899474i) q^{70} +(-4.58488 + 5.74925i) q^{71} +(0.357575 + 0.556806i) q^{72} +(0.891895 + 11.9015i) q^{73} +(-0.277830 + 0.189421i) q^{74} +(5.72062 + 3.70532i) q^{75} +(-0.273196 - 0.696091i) q^{76} +(-2.53726 + 3.59020i) q^{77} +(-0.451884 + 0.439611i) q^{78} -0.940653 q^{79} +(5.95103 + 10.3075i) q^{80} +(-0.177589 - 8.99825i) q^{81} +(-0.455818 - 0.140601i) q^{82} +(0.367709 + 4.90674i) q^{83} +(-6.26994 - 6.66575i) q^{84} +(0.859858 - 11.4740i) q^{85} +(0.196392 - 0.500400i) q^{86} +(-10.1362 + 0.239597i) q^{87} +(0.350237 + 0.108034i) q^{88} +(-3.98830 + 2.71918i) q^{89} +(-0.0136240 + 0.494697i) q^{90} +(10.0712 - 14.2506i) q^{91} +(5.18492 - 4.81090i) q^{92} +(-1.43968 - 3.42776i) q^{93} +(-0.419421 + 0.525938i) q^{94} +(0.249073 - 1.09126i) q^{95} +(-0.548765 + 1.00459i) q^{96} +(-4.85740 - 8.41326i) q^{97} +(-0.311680 - 0.228227i) q^{98} +(-3.28871 - 3.74615i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{19}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0497214 + 0.0239445i −0.0351583 + 0.0169314i −0.451380 0.892332i \(-0.649068\pi\)
0.416222 + 0.909263i \(0.363354\pi\)
\(3\) 0.670713 + 1.59692i 0.387237 + 0.921980i
\(4\) −1.24508 + 1.56128i −0.622540 + 0.780641i
\(5\) −2.85636 + 0.881071i −1.27740 + 0.394027i −0.857942 0.513746i \(-0.828257\pi\)
−0.419462 + 0.907773i \(0.637781\pi\)
\(6\) −0.0715862 0.0633410i −0.0292250 0.0258588i
\(7\) 2.26871 + 1.36123i 0.857492 + 0.514497i
\(8\) 0.0490832 0.215048i 0.0173535 0.0760309i
\(9\) −2.10029 + 2.14215i −0.700096 + 0.714049i
\(10\) 0.120925 0.112202i 0.0382400 0.0354815i
\(11\) −0.124174 + 1.65699i −0.0374399 + 0.499600i 0.946689 + 0.322148i \(0.104405\pi\)
−0.984129 + 0.177453i \(0.943214\pi\)
\(12\) −3.32833 0.941118i −0.960806 0.271677i
\(13\) 0.492886 6.57711i 0.136702 1.82416i −0.334790 0.942293i \(-0.608666\pi\)
0.471493 0.881870i \(-0.343715\pi\)
\(14\) −0.145397 0.0133590i −0.0388591 0.00357034i
\(15\) −3.32280 3.97043i −0.857943 1.02516i
\(16\) −0.886020 3.88191i −0.221505 0.970476i
\(17\) −1.40631 + 3.58321i −0.341079 + 0.869056i 0.652692 + 0.757623i \(0.273639\pi\)
−0.993772 + 0.111433i \(0.964456\pi\)
\(18\) 0.0531364 0.156801i 0.0125244 0.0369583i
\(19\) −0.187231 + 0.324293i −0.0429537 + 0.0743979i −0.886703 0.462340i \(-0.847010\pi\)
0.843749 + 0.536737i \(0.180343\pi\)
\(20\) 2.18080 5.55659i 0.487642 1.24249i
\(21\) −0.652118 + 4.53594i −0.142304 + 0.989823i
\(22\) −0.0335017 0.0853610i −0.00714259 0.0181990i
\(23\) −3.50236 0.527896i −0.730293 0.110074i −0.226638 0.973979i \(-0.572774\pi\)
−0.503655 + 0.863905i \(0.668012\pi\)
\(24\) 0.376334 0.0658536i 0.0768189 0.0134423i
\(25\) 3.25133 2.21672i 0.650265 0.443343i
\(26\) 0.132979 + 0.338825i 0.0260793 + 0.0664490i
\(27\) −4.82952 1.91722i −0.929442 0.368969i
\(28\) −4.94999 + 1.84726i −0.935461 + 0.349098i
\(29\) −2.13863 + 5.44914i −0.397133 + 1.01188i 0.582811 + 0.812608i \(0.301953\pi\)
−0.979944 + 0.199272i \(0.936142\pi\)
\(30\) 0.260284 + 0.117852i 0.0475212 + 0.0215168i
\(31\) −2.14649 −0.385520 −0.192760 0.981246i \(-0.561744\pi\)
−0.192760 + 0.981246i \(0.561744\pi\)
\(32\) 0.412061 + 0.516708i 0.0728428 + 0.0913420i
\(33\) −2.72936 + 0.913068i −0.475120 + 0.158945i
\(34\) −0.0158749 0.211835i −0.00272252 0.0363295i
\(35\) −7.67960 1.88927i −1.29809 0.319345i
\(36\) −0.729469 5.94629i −0.121578 0.991048i
\(37\) 6.02507 0.908134i 0.990516 0.149296i 0.366257 0.930514i \(-0.380639\pi\)
0.624259 + 0.781218i \(0.285401\pi\)
\(38\) 0.00154431 0.0206074i 0.000250521 0.00334297i
\(39\) 10.8337 3.62426i 1.73478 0.580346i
\(40\) 0.0492728 + 0.657500i 0.00779072 + 0.103960i
\(41\) 6.33621 + 5.87914i 0.989549 + 0.918168i 0.996648 0.0818071i \(-0.0260691\pi\)
−0.00709871 + 0.999975i \(0.502260\pi\)
\(42\) −0.0761868 0.241148i −0.0117559 0.0372099i
\(43\) −7.14048 + 6.62540i −1.08891 + 1.01036i −0.0890163 + 0.996030i \(0.528372\pi\)
−0.999897 + 0.0143340i \(0.995437\pi\)
\(44\) −2.43242 2.25695i −0.366701 0.340249i
\(45\) 4.11180 7.96925i 0.612951 1.18799i
\(46\) 0.186783 0.0576148i 0.0275396 0.00849484i
\(47\) 10.9824 5.28885i 1.60195 0.771458i 0.602308 0.798264i \(-0.294248\pi\)
0.999641 + 0.0268057i \(0.00853353\pi\)
\(48\) 5.60482 4.01855i 0.808985 0.580027i
\(49\) 3.29410 + 6.17648i 0.470586 + 0.882354i
\(50\) −0.108582 + 0.188070i −0.0153558 + 0.0265971i
\(51\) −6.66532 + 0.157553i −0.933331 + 0.0220618i
\(52\) 9.65504 + 8.95857i 1.33891 + 1.24233i
\(53\) −11.0046 1.65868i −1.51160 0.227838i −0.659698 0.751531i \(-0.729316\pi\)
−0.851907 + 0.523693i \(0.824554\pi\)
\(54\) 0.286037 0.0203141i 0.0389247 0.00276440i
\(55\) −1.10524 4.84236i −0.149030 0.652944i
\(56\) 0.404085 0.421068i 0.0539982 0.0562675i
\(57\) −0.643447 0.0814841i −0.0852267 0.0107928i
\(58\) −0.0241416 0.322147i −0.00316994 0.0423000i
\(59\) −0.762969 3.34278i −0.0993301 0.435193i −1.00000 0.000689010i \(-0.999781\pi\)
0.900670 0.434504i \(-0.143076\pi\)
\(60\) 10.3361 0.244322i 1.33439 0.0315418i
\(61\) 5.50709 + 6.90567i 0.705110 + 0.884180i 0.997394 0.0721517i \(-0.0229866\pi\)
−0.292284 + 0.956332i \(0.594415\pi\)
\(62\) 0.106726 0.0513967i 0.0135542 0.00652738i
\(63\) −7.68090 + 2.00094i −0.967703 + 0.252094i
\(64\) 7.14198 + 3.43940i 0.892747 + 0.429925i
\(65\) 4.38704 + 19.2209i 0.544146 + 2.38406i
\(66\) 0.113844 0.110752i 0.0140133 0.0136327i
\(67\) −1.30769 −0.159760 −0.0798798 0.996805i \(-0.525454\pi\)
−0.0798798 + 0.996805i \(0.525454\pi\)
\(68\) −3.84344 6.65703i −0.466085 0.807283i
\(69\) −1.50608 5.94705i −0.181310 0.715941i
\(70\) 0.427078 0.0899474i 0.0510456 0.0107508i
\(71\) −4.58488 + 5.74925i −0.544125 + 0.682311i −0.975535 0.219845i \(-0.929445\pi\)
0.431410 + 0.902156i \(0.358016\pi\)
\(72\) 0.357575 + 0.556806i 0.0421406 + 0.0656202i
\(73\) 0.891895 + 11.9015i 0.104388 + 1.39297i 0.765865 + 0.643001i \(0.222311\pi\)
−0.661477 + 0.749966i \(0.730070\pi\)
\(74\) −0.277830 + 0.189421i −0.0322971 + 0.0220198i
\(75\) 5.72062 + 3.70532i 0.660561 + 0.427853i
\(76\) −0.273196 0.696091i −0.0313377 0.0798471i
\(77\) −2.53726 + 3.59020i −0.289147 + 0.409141i
\(78\) −0.451884 + 0.439611i −0.0511658 + 0.0497761i
\(79\) −0.940653 −0.105832 −0.0529159 0.998599i \(-0.516852\pi\)
−0.0529159 + 0.998599i \(0.516852\pi\)
\(80\) 5.95103 + 10.3075i 0.665345 + 1.15241i
\(81\) −0.177589 8.99825i −0.0197321 0.999805i
\(82\) −0.455818 0.140601i −0.0503367 0.0155268i
\(83\) 0.367709 + 4.90674i 0.0403613 + 0.538584i 0.980335 + 0.197339i \(0.0632298\pi\)
−0.939974 + 0.341246i \(0.889151\pi\)
\(84\) −6.26994 6.66575i −0.684107 0.727293i
\(85\) 0.859858 11.4740i 0.0932647 1.24453i
\(86\) 0.196392 0.500400i 0.0211775 0.0539595i
\(87\) −10.1362 + 0.239597i −1.08672 + 0.0256875i
\(88\) 0.350237 + 0.108034i 0.0373353 + 0.0115164i
\(89\) −3.98830 + 2.71918i −0.422759 + 0.288232i −0.755953 0.654626i \(-0.772826\pi\)
0.333194 + 0.942858i \(0.391874\pi\)
\(90\) −0.0136240 + 0.494697i −0.00143610 + 0.0521457i
\(91\) 10.0712 14.2506i 1.05575 1.49387i
\(92\) 5.18492 4.81090i 0.540565 0.501571i
\(93\) −1.43968 3.42776i −0.149288 0.355442i
\(94\) −0.419421 + 0.525938i −0.0432600 + 0.0542463i
\(95\) 0.249073 1.09126i 0.0255544 0.111961i
\(96\) −0.548765 + 1.00459i −0.0560081 + 0.102531i
\(97\) −4.85740 8.41326i −0.493194 0.854237i 0.506775 0.862078i \(-0.330837\pi\)
−0.999969 + 0.00784086i \(0.997504\pi\)
\(98\) −0.311680 0.228227i −0.0314845 0.0230544i
\(99\) −3.28871 3.74615i −0.330528 0.376502i
\(100\) −0.587244 + 7.83623i −0.0587244 + 0.783623i
\(101\) 3.54500 + 3.28928i 0.352741 + 0.327296i 0.836563 0.547870i \(-0.184561\pi\)
−0.483822 + 0.875166i \(0.660752\pi\)
\(102\) 0.327636 0.167432i 0.0324408 0.0165782i
\(103\) −3.93708 + 1.21443i −0.387933 + 0.119661i −0.482585 0.875849i \(-0.660302\pi\)
0.0946527 + 0.995510i \(0.469826\pi\)
\(104\) −1.39020 0.428820i −0.136320 0.0420493i
\(105\) −2.13380 13.5308i −0.208238 1.32048i
\(106\) 0.586883 0.181029i 0.0570031 0.0175831i
\(107\) −8.28430 + 5.64814i −0.800873 + 0.546026i −0.893177 0.449705i \(-0.851529\pi\)
0.0923042 + 0.995731i \(0.470577\pi\)
\(108\) 9.00646 5.15315i 0.866647 0.495863i
\(109\) 10.0208 + 6.83209i 0.959822 + 0.654395i 0.938464 0.345376i \(-0.112249\pi\)
0.0213576 + 0.999772i \(0.493201\pi\)
\(110\) 0.170902 + 0.214304i 0.0162949 + 0.0204331i
\(111\) 5.49131 + 9.01244i 0.521212 + 0.855423i
\(112\) 3.27405 10.0130i 0.309368 0.946140i
\(113\) 0.258019 0.175914i 0.0242724 0.0165486i −0.551123 0.834424i \(-0.685801\pi\)
0.575395 + 0.817875i \(0.304848\pi\)
\(114\) 0.0339442 0.0113555i 0.00317916 0.00106354i
\(115\) 10.4691 1.57797i 0.976252 0.147146i
\(116\) −5.84487 10.1236i −0.542683 0.939954i
\(117\) 13.0539 + 14.8697i 1.20684 + 1.37470i
\(118\) 0.117977 + 0.147939i 0.0108607 + 0.0136189i
\(119\) −8.06808 + 6.21496i −0.739600 + 0.569725i
\(120\) −1.01693 + 0.519679i −0.0928321 + 0.0474400i
\(121\) 8.14695 + 1.22796i 0.740632 + 0.111632i
\(122\) −0.439173 0.211494i −0.0397608 0.0191478i
\(123\) −5.13872 + 14.0616i −0.463343 + 1.26789i
\(124\) 2.67255 3.35127i 0.240002 0.300953i
\(125\) 1.98468 2.48871i 0.177515 0.222597i
\(126\) 0.333993 0.283405i 0.0297545 0.0252477i
\(127\) 0.182335 + 0.228641i 0.0161796 + 0.0202886i 0.789855 0.613293i \(-0.210156\pi\)
−0.773676 + 0.633582i \(0.781584\pi\)
\(128\) −1.75925 −0.155497
\(129\) −15.3694 6.95901i −1.35320 0.612707i
\(130\) −0.678365 0.850643i −0.0594965 0.0746063i
\(131\) 15.7136 14.5800i 1.37290 1.27386i 0.447803 0.894132i \(-0.352207\pi\)
0.925096 0.379732i \(-0.123984\pi\)
\(132\) 1.97271 5.39814i 0.171703 0.469848i
\(133\) −0.866210 + 0.480863i −0.0751099 + 0.0416961i
\(134\) 0.0650201 0.0313120i 0.00561688 0.00270495i
\(135\) 15.4841 + 1.22111i 1.33266 + 0.105097i
\(136\) 0.701535 + 0.478299i 0.0601562 + 0.0410138i
\(137\) 6.00228 + 1.85146i 0.512810 + 0.158181i 0.540351 0.841440i \(-0.318292\pi\)
−0.0275412 + 0.999621i \(0.508768\pi\)
\(138\) 0.217284 + 0.259633i 0.0184964 + 0.0221014i
\(139\) 1.72952 + 1.60476i 0.146696 + 0.136114i 0.750107 0.661316i \(-0.230002\pi\)
−0.603411 + 0.797430i \(0.706192\pi\)
\(140\) 12.5114 9.63773i 1.05741 0.814537i
\(141\) 15.8119 + 13.9907i 1.33160 + 1.17823i
\(142\) 0.0903030 0.395643i 0.00757806 0.0332017i
\(143\) 10.8370 + 1.63341i 0.906234 + 0.136593i
\(144\) 10.1765 + 6.25513i 0.848042 + 0.521261i
\(145\) 1.30762 17.4490i 0.108592 1.44906i
\(146\) −0.329323 0.570403i −0.0272549 0.0472069i
\(147\) −7.65393 + 9.40305i −0.631285 + 0.775551i
\(148\) −6.08385 + 10.5375i −0.500089 + 0.866180i
\(149\) −12.6213 8.60502i −1.03397 0.704951i −0.0775660 0.996987i \(-0.524715\pi\)
−0.956407 + 0.292036i \(0.905667\pi\)
\(150\) −0.373159 0.0472557i −0.0304683 0.00385841i
\(151\) 6.08973 + 15.5164i 0.495575 + 1.26271i 0.931834 + 0.362884i \(0.118208\pi\)
−0.436259 + 0.899821i \(0.643697\pi\)
\(152\) 0.0605486 + 0.0561809i 0.00491114 + 0.00455687i
\(153\) −4.72212 10.5383i −0.381761 0.851970i
\(154\) 0.0401903 0.239263i 0.00323862 0.0192804i
\(155\) 6.13115 1.89121i 0.492465 0.151905i
\(156\) −7.83032 + 21.4269i −0.626928 + 1.71553i
\(157\) 1.84825 + 8.09772i 0.147506 + 0.646268i 0.993573 + 0.113191i \(0.0361073\pi\)
−0.846067 + 0.533077i \(0.821036\pi\)
\(158\) 0.0467706 0.0225235i 0.00372087 0.00179187i
\(159\) −4.73219 18.6860i −0.375287 1.48190i
\(160\) −1.63225 1.11285i −0.129041 0.0879786i
\(161\) −7.22726 5.96517i −0.569588 0.470121i
\(162\) 0.224289 + 0.443153i 0.0176218 + 0.0348174i
\(163\) 2.24106 + 0.691276i 0.175533 + 0.0541449i 0.381276 0.924461i \(-0.375485\pi\)
−0.205743 + 0.978606i \(0.565961\pi\)
\(164\) −17.0681 + 2.57260i −1.33279 + 0.200886i
\(165\) 6.99155 5.01281i 0.544292 0.390247i
\(166\) −0.135773 0.235165i −0.0105380 0.0182523i
\(167\) −5.17261 + 0.779646i −0.400269 + 0.0603308i −0.346092 0.938201i \(-0.612492\pi\)
−0.0541767 + 0.998531i \(0.517253\pi\)
\(168\) 0.943435 + 0.362875i 0.0727876 + 0.0279964i
\(169\) −30.1607 4.54599i −2.32005 0.349691i
\(170\) 0.231987 + 0.591092i 0.0177926 + 0.0453347i
\(171\) −0.301445 1.08218i −0.0230521 0.0827567i
\(172\) −1.45364 19.3975i −0.110839 1.47904i
\(173\) 14.3074 17.9409i 1.08777 1.36402i 0.161628 0.986852i \(-0.448326\pi\)
0.926144 0.377171i \(-0.123103\pi\)
\(174\) 0.498250 0.254620i 0.0377722 0.0193027i
\(175\) 10.3938 0.603284i 0.785696 0.0456040i
\(176\) 6.54229 0.986091i 0.493144 0.0743294i
\(177\) 4.82641 3.46045i 0.362776 0.260103i
\(178\) 0.133194 0.230699i 0.00998333 0.0172916i
\(179\) 1.29916 3.31022i 0.0971041 0.247417i −0.874065 0.485809i \(-0.838525\pi\)
0.971169 + 0.238392i \(0.0766203\pi\)
\(180\) 7.32273 + 16.3420i 0.545804 + 1.21806i
\(181\) −14.0932 6.78690i −1.04754 0.504467i −0.170733 0.985317i \(-0.554614\pi\)
−0.876803 + 0.480851i \(0.840328\pi\)
\(182\) −0.159528 + 0.949711i −0.0118250 + 0.0703973i
\(183\) −7.33410 + 13.4261i −0.542152 + 0.992484i
\(184\) −0.285430 + 0.727265i −0.0210422 + 0.0536147i
\(185\) −16.4097 + 7.90248i −1.20646 + 0.581002i
\(186\) 0.153659 + 0.135961i 0.0112668 + 0.00996911i
\(187\) −5.76271 2.77517i −0.421411 0.202941i
\(188\) −5.41660 + 23.7317i −0.395046 + 1.73081i
\(189\) −8.34702 10.9237i −0.607156 0.794583i
\(190\) 0.0137455 + 0.0602230i 0.000997204 + 0.00436903i
\(191\) −2.62978 + 11.5218i −0.190284 + 0.833690i 0.786178 + 0.618000i \(0.212057\pi\)
−0.976462 + 0.215689i \(0.930800\pi\)
\(192\) −0.702208 + 13.7120i −0.0506775 + 0.989578i
\(193\) −1.63334 + 7.15615i −0.117571 + 0.515111i 0.881507 + 0.472171i \(0.156530\pi\)
−0.999078 + 0.0429398i \(0.986328\pi\)
\(194\) 0.442968 + 0.302011i 0.0318033 + 0.0216831i
\(195\) −27.7517 + 19.8974i −1.98734 + 1.42489i
\(196\) −13.7446 2.54720i −0.981760 0.181943i
\(197\) 6.23581 0.444283 0.222142 0.975014i \(-0.428695\pi\)
0.222142 + 0.975014i \(0.428695\pi\)
\(198\) 0.253219 + 0.107517i 0.0179955 + 0.00764089i
\(199\) 12.2311 3.77279i 0.867039 0.267446i 0.170844 0.985298i \(-0.445351\pi\)
0.696196 + 0.717852i \(0.254875\pi\)
\(200\) −0.317114 0.807994i −0.0224234 0.0571338i
\(201\) −0.877084 2.08827i −0.0618648 0.147295i
\(202\) −0.255023 0.0786641i −0.0179433 0.00553479i
\(203\) −12.2695 + 9.45135i −0.861148 + 0.663355i
\(204\) 8.05287 10.6026i 0.563814 0.742331i
\(205\) −23.2785 11.2103i −1.62584 0.782962i
\(206\) 0.166678 0.154655i 0.0116130 0.0107753i
\(207\) 8.48680 6.39384i 0.589873 0.444403i
\(208\) −25.9684 + 3.91411i −1.80059 + 0.271395i
\(209\) −0.514100 0.350508i −0.0355611 0.0242451i
\(210\) 0.430086 + 0.621679i 0.0296787 + 0.0428999i
\(211\) −19.0385 + 12.9802i −1.31067 + 0.893596i −0.998408 0.0564013i \(-0.982037\pi\)
−0.312257 + 0.949998i \(0.601085\pi\)
\(212\) 16.2913 15.1162i 1.11889 1.03818i
\(213\) −12.2562 3.46557i −0.839782 0.237457i
\(214\) 0.276664 0.479197i 0.0189124 0.0327572i
\(215\) 14.5584 25.2158i 0.992872 1.71970i
\(216\) −0.649342 + 0.944475i −0.0441821 + 0.0642634i
\(217\) −4.86976 2.92186i −0.330581 0.198349i
\(218\) −0.661841 0.0997564i −0.0448255 0.00675636i
\(219\) −18.4075 + 9.40679i −1.24386 + 0.635652i
\(220\) 8.93640 + 4.30355i 0.602492 + 0.290145i
\(221\) 22.8740 + 11.0156i 1.53867 + 0.740986i
\(222\) −0.488834 0.316624i −0.0328084 0.0212504i
\(223\) 10.8562 + 1.63630i 0.726983 + 0.109575i 0.502099 0.864810i \(-0.332561\pi\)
0.224884 + 0.974385i \(0.427800\pi\)
\(224\) 0.231488 + 1.73317i 0.0154670 + 0.115802i
\(225\) −2.08019 + 11.6206i −0.138679 + 0.774704i
\(226\) −0.00861686 + 0.0149248i −0.000573185 + 0.000992786i
\(227\) 5.24600 9.08634i 0.348189 0.603081i −0.637739 0.770253i \(-0.720130\pi\)
0.985928 + 0.167171i \(0.0534634\pi\)
\(228\) 0.928363 0.903148i 0.0614824 0.0598124i
\(229\) 8.78377 8.15015i 0.580448 0.538577i −0.334371 0.942442i \(-0.608524\pi\)
0.914819 + 0.403865i \(0.132333\pi\)
\(230\) −0.482756 + 0.329137i −0.0318320 + 0.0217027i
\(231\) −7.43502 1.64380i −0.489188 0.108154i
\(232\) 1.06685 + 0.727369i 0.0700424 + 0.0477541i
\(233\) 25.7457 3.88054i 1.68666 0.254223i 0.765506 0.643429i \(-0.222489\pi\)
0.921151 + 0.389206i \(0.127251\pi\)
\(234\) −1.00511 0.426769i −0.0657059 0.0278988i
\(235\) −26.7099 + 24.7832i −1.74236 + 1.61667i
\(236\) 6.16899 + 2.97083i 0.401567 + 0.193384i
\(237\) −0.630909 1.50214i −0.0409819 0.0975748i
\(238\) 0.252341 0.502203i 0.0163569 0.0325530i
\(239\) −14.5144 4.47709i −0.938857 0.289599i −0.212692 0.977119i \(-0.568223\pi\)
−0.726165 + 0.687520i \(0.758699\pi\)
\(240\) −12.4688 + 16.4167i −0.804855 + 1.05969i
\(241\) −8.88133 22.6293i −0.572097 1.45768i −0.865116 0.501572i \(-0.832755\pi\)
0.293019 0.956107i \(-0.405340\pi\)
\(242\) −0.434480 + 0.134019i −0.0279295 + 0.00861510i
\(243\) 14.2503 6.31884i 0.914160 0.405354i
\(244\) −17.6385 −1.12919
\(245\) −14.8511 14.7399i −0.948800 0.941699i
\(246\) −0.0811948 0.822207i −0.00517679 0.0524220i
\(247\) 2.04063 + 1.39128i 0.129842 + 0.0885248i
\(248\) −0.105357 + 0.461597i −0.00669015 + 0.0293115i
\(249\) −7.58902 + 3.87822i −0.480935 + 0.245772i
\(250\) −0.0390899 + 0.171264i −0.00247226 + 0.0108317i
\(251\) −0.654124 2.86590i −0.0412879 0.180894i 0.950079 0.312008i \(-0.101002\pi\)
−0.991367 + 0.131114i \(0.958145\pi\)
\(252\) 6.43931 14.4834i 0.405639 0.912367i
\(253\) 1.30962 5.73782i 0.0823351 0.360734i
\(254\) −0.0145407 0.00700242i −0.000912363 0.000439371i
\(255\) 18.8998 6.32265i 1.18355 0.395940i
\(256\) −14.1965 + 6.83667i −0.887280 + 0.427292i
\(257\) −3.51753 + 8.96251i −0.219417 + 0.559066i −0.997620 0.0689466i \(-0.978036\pi\)
0.778203 + 0.628013i \(0.216131\pi\)
\(258\) 0.930819 0.0220024i 0.0579503 0.00136981i
\(259\) 14.9053 + 6.14122i 0.926172 + 0.381597i
\(260\) −35.4714 17.0821i −2.19985 1.05939i
\(261\) −7.18112 16.0260i −0.444500 0.991985i
\(262\) −0.432187 + 1.10119i −0.0267006 + 0.0680320i
\(263\) −5.73098 + 9.92635i −0.353387 + 0.612085i −0.986841 0.161696i \(-0.948304\pi\)
0.633453 + 0.773781i \(0.281637\pi\)
\(264\) 0.0623876 + 0.631758i 0.00383969 + 0.0388820i
\(265\) 32.8947 4.95808i 2.02070 0.304572i
\(266\) 0.0315551 0.0446502i 0.00193477 0.00273768i
\(267\) −7.01731 4.54520i −0.429452 0.278161i
\(268\) 1.62818 2.04167i 0.0994568 0.124715i
\(269\) 1.56326 + 20.8603i 0.0953137 + 1.27187i 0.815772 + 0.578374i \(0.196313\pi\)
−0.720458 + 0.693499i \(0.756068\pi\)
\(270\) −0.799128 + 0.310044i −0.0486334 + 0.0188687i
\(271\) 8.10766 + 20.6580i 0.492505 + 1.25488i 0.933889 + 0.357564i \(0.116393\pi\)
−0.441383 + 0.897319i \(0.645512\pi\)
\(272\) 15.1557 + 2.28435i 0.918949 + 0.138509i
\(273\) 29.5120 + 6.52475i 1.78614 + 0.394896i
\(274\) −0.342774 + 0.0516649i −0.0207077 + 0.00312119i
\(275\) 3.26934 + 5.66267i 0.197149 + 0.341472i
\(276\) 11.1602 + 5.05315i 0.671766 + 0.304164i
\(277\) 15.9910 2.41026i 0.960808 0.144818i 0.350133 0.936700i \(-0.386136\pi\)
0.610675 + 0.791882i \(0.290898\pi\)
\(278\) −0.124419 0.0383783i −0.00746217 0.00230178i
\(279\) 4.50824 4.59809i 0.269901 0.275281i
\(280\) −0.783224 + 1.55875i −0.0468066 + 0.0931531i
\(281\) 4.40454 + 3.00296i 0.262753 + 0.179142i 0.687530 0.726156i \(-0.258695\pi\)
−0.424777 + 0.905298i \(0.639647\pi\)
\(282\) −1.12119 0.317027i −0.0667659 0.0188787i
\(283\) −10.9577 + 5.27694i −0.651367 + 0.313682i −0.730228 0.683204i \(-0.760586\pi\)
0.0788608 + 0.996886i \(0.474872\pi\)
\(284\) −3.26766 14.3166i −0.193900 0.849532i
\(285\) 1.90971 0.334175i 0.113122 0.0197948i
\(286\) −0.577941 + 0.178271i −0.0341744 + 0.0105414i
\(287\) 6.37216 + 21.9631i 0.376136 + 1.29644i
\(288\) −1.97231 0.202540i −0.116220 0.0119348i
\(289\) 1.60018 + 1.48475i 0.0941283 + 0.0873383i
\(290\) 0.352792 + 0.898898i 0.0207166 + 0.0527851i
\(291\) 10.1774 13.3998i 0.596607 0.785507i
\(292\) −19.6921 13.4258i −1.15239 0.785688i
\(293\) 12.7863 22.1465i 0.746983 1.29381i −0.202279 0.979328i \(-0.564835\pi\)
0.949263 0.314485i \(-0.101832\pi\)
\(294\) 0.155412 0.650802i 0.00906380 0.0379556i
\(295\) 5.12455 + 8.87597i 0.298363 + 0.516779i
\(296\) 0.100438 1.34025i 0.00583784 0.0779006i
\(297\) 3.77651 7.76439i 0.219135 0.450535i
\(298\) 0.833589 + 0.125643i 0.0482885 + 0.00727832i
\(299\) −5.19830 + 22.7752i −0.300626 + 1.31713i
\(300\) −12.9077 + 4.31808i −0.745225 + 0.249305i
\(301\) −25.2184 + 5.31127i −1.45356 + 0.306137i
\(302\) −0.674322 0.625680i −0.0388029 0.0360038i
\(303\) −2.87503 + 7.86724i −0.165166 + 0.451961i
\(304\) 1.42477 + 0.439482i 0.0817159 + 0.0252060i
\(305\) −21.8146 14.8730i −1.24910 0.851623i
\(306\) 0.487125 + 0.410909i 0.0278471 + 0.0234901i
\(307\) −1.79618 + 0.864995i −0.102513 + 0.0493679i −0.484438 0.874826i \(-0.660976\pi\)
0.381924 + 0.924194i \(0.375261\pi\)
\(308\) −2.44622 8.43146i −0.139386 0.480427i
\(309\) −4.58000 5.47266i −0.260547 0.311329i
\(310\) −0.259565 + 0.240841i −0.0147423 + 0.0136788i
\(311\) 4.49794 + 5.64024i 0.255055 + 0.319829i 0.892830 0.450394i \(-0.148716\pi\)
−0.637775 + 0.770223i \(0.720145\pi\)
\(312\) −0.247636 2.50765i −0.0140196 0.141968i
\(313\) −24.2025 −1.36801 −0.684004 0.729478i \(-0.739763\pi\)
−0.684004 + 0.729478i \(0.739763\pi\)
\(314\) −0.285794 0.358374i −0.0161283 0.0202242i
\(315\) 20.1765 12.4828i 1.13682 0.703328i
\(316\) 1.17119 1.46862i 0.0658845 0.0826166i
\(317\) 10.2113 12.8046i 0.573524 0.719176i −0.407469 0.913219i \(-0.633589\pi\)
0.980993 + 0.194043i \(0.0621600\pi\)
\(318\) 0.682719 + 0.815784i 0.0382850 + 0.0457469i
\(319\) −8.76359 4.22032i −0.490667 0.236293i
\(320\) −23.4304 3.53157i −1.30980 0.197421i
\(321\) −14.5760 9.44105i −0.813553 0.526948i
\(322\) 0.502183 + 0.123543i 0.0279855 + 0.00688477i
\(323\) −0.898707 1.12694i −0.0500054 0.0627048i
\(324\) 14.2699 + 10.9263i 0.792773 + 0.607015i
\(325\) −12.9771 22.4769i −0.719838 1.24680i
\(326\) −0.127981 + 0.0192900i −0.00708821 + 0.00106838i
\(327\) −4.18917 + 20.5848i −0.231662 + 1.13834i
\(328\) 1.57530 1.07402i 0.0869813 0.0593028i
\(329\) 32.1153 + 2.95072i 1.77057 + 0.162679i
\(330\) −0.227600 + 0.416653i −0.0125290 + 0.0229360i
\(331\) −5.98724 7.50776i −0.329088 0.412664i 0.589570 0.807718i \(-0.299297\pi\)
−0.918658 + 0.395054i \(0.870726\pi\)
\(332\) −8.11863 5.53519i −0.445568 0.303783i
\(333\) −10.7090 + 14.8139i −0.586851 + 0.811799i
\(334\) 0.238521 0.162621i 0.0130513 0.00889822i
\(335\) 3.73523 1.15217i 0.204078 0.0629496i
\(336\) 18.1859 1.48747i 0.992121 0.0811483i
\(337\) 23.5587 + 7.26688i 1.28332 + 0.395852i 0.860078 0.510163i \(-0.170415\pi\)
0.423244 + 0.906016i \(0.360891\pi\)
\(338\) 1.60848 0.496151i 0.0874898 0.0269870i
\(339\) 0.453977 + 0.294047i 0.0246567 + 0.0159704i
\(340\) 16.8436 + 15.6285i 0.913470 + 0.847577i
\(341\) 0.266538 3.55670i 0.0144338 0.192606i
\(342\) 0.0409007 + 0.0465897i 0.00221166 + 0.00251928i
\(343\) −0.934252 + 18.4967i −0.0504449 + 0.998727i
\(344\) 1.07430 + 1.86074i 0.0579223 + 0.100324i
\(345\) 9.54167 + 15.6600i 0.513706 + 0.843105i
\(346\) −0.281796 + 1.23463i −0.0151495 + 0.0663742i
\(347\) 6.24436 7.83017i 0.335215 0.420346i −0.585445 0.810712i \(-0.699080\pi\)
0.920660 + 0.390366i \(0.127652\pi\)
\(348\) 12.2463 16.1238i 0.656473 0.864328i
\(349\) 6.91846 6.41940i 0.370337 0.343622i −0.472947 0.881091i \(-0.656810\pi\)
0.843284 + 0.537469i \(0.180619\pi\)
\(350\) −0.502348 + 0.278871i −0.0268516 + 0.0149063i
\(351\) −14.9902 + 30.8193i −0.800115 + 1.64501i
\(352\) −0.907346 + 0.618618i −0.0483617 + 0.0329725i
\(353\) −8.63080 2.66225i −0.459371 0.141697i 0.0564282 0.998407i \(-0.482029\pi\)
−0.515799 + 0.856709i \(0.672505\pi\)
\(354\) −0.157117 + 0.287624i −0.00835068 + 0.0152871i
\(355\) 8.03057 20.4616i 0.426218 1.08599i
\(356\) 0.720354 9.61246i 0.0381787 0.509459i
\(357\) −15.3361 8.71560i −0.811675 0.461278i
\(358\) 0.0146654 + 0.195696i 0.000775091 + 0.0103429i
\(359\) 24.5978 + 7.58743i 1.29822 + 0.400449i 0.865424 0.501041i \(-0.167049\pi\)
0.432801 + 0.901490i \(0.357525\pi\)
\(360\) −1.51195 1.27539i −0.0796867 0.0672189i
\(361\) 9.42989 + 16.3330i 0.496310 + 0.859634i
\(362\) 0.863240 0.0453709
\(363\) 3.50333 + 13.8336i 0.183877 + 0.726076i
\(364\) 9.70982 + 33.4671i 0.508933 + 1.75416i
\(365\) −13.0337 33.2092i −0.682213 1.73825i
\(366\) 0.0431800 0.843175i 0.00225705 0.0440734i
\(367\) 25.2765 17.2332i 1.31942 0.899566i 0.320557 0.947229i \(-0.396130\pi\)
0.998863 + 0.0476635i \(0.0151775\pi\)
\(368\) 1.05392 + 14.0636i 0.0549393 + 0.733114i
\(369\) −25.9018 + 1.22521i −1.34840 + 0.0637816i
\(370\) 0.626689 0.785844i 0.0325800 0.0408541i
\(371\) −22.7085 18.7429i −1.17897 0.973085i
\(372\) 7.14422 + 2.02010i 0.370410 + 0.104737i
\(373\) −13.3911 23.1941i −0.693366 1.20094i −0.970729 0.240179i \(-0.922794\pi\)
0.277363 0.960765i \(-0.410540\pi\)
\(374\) 0.352980 0.0182522
\(375\) 5.30541 + 1.50016i 0.273970 + 0.0774677i
\(376\) −0.598303 2.62134i −0.0308551 0.135185i
\(377\) 34.7855 + 16.7518i 1.79154 + 0.862762i
\(378\) 0.676588 + 0.343276i 0.0347999 + 0.0176562i
\(379\) −2.23286 + 1.07529i −0.114694 + 0.0552338i −0.490351 0.871525i \(-0.663131\pi\)
0.375657 + 0.926759i \(0.377417\pi\)
\(380\) 1.39365 + 1.74758i 0.0714928 + 0.0896491i
\(381\) −0.242826 + 0.444527i −0.0124404 + 0.0227738i
\(382\) −0.145129 0.635850i −0.00742542 0.0325329i
\(383\) −0.0917314 1.22407i −0.00468725 0.0625470i 0.994370 0.105967i \(-0.0337937\pi\)
−0.999057 + 0.0434198i \(0.986175\pi\)
\(384\) −1.17995 2.80938i −0.0602143 0.143366i
\(385\) 4.08411 12.4904i 0.208145 0.636570i
\(386\) −0.0901386 0.394923i −0.00458793 0.0201011i
\(387\) 0.804481 29.2112i 0.0408941 1.48489i
\(388\) 19.1833 + 2.89142i 0.973886 + 0.146790i
\(389\) −11.7585 10.9103i −0.596179 0.553173i 0.323308 0.946294i \(-0.395205\pi\)
−0.919487 + 0.393121i \(0.871395\pi\)
\(390\) 0.903417 1.65383i 0.0457463 0.0837449i
\(391\) 6.81696 11.8073i 0.344749 0.597122i
\(392\) 1.48992 0.405227i 0.0752525 0.0204671i
\(393\) 33.8224 + 15.3142i 1.70611 + 0.772499i
\(394\) −0.310053 + 0.149314i −0.0156202 + 0.00752231i
\(395\) 2.68685 0.828782i 0.135190 0.0417006i
\(396\) 9.94350 0.470346i 0.499680 0.0236358i
\(397\) 4.97532 + 4.61642i 0.249704 + 0.231692i 0.795087 0.606496i \(-0.207425\pi\)
−0.545383 + 0.838187i \(0.683616\pi\)
\(398\) −0.517809 + 0.480456i −0.0259554 + 0.0240831i
\(399\) −1.34888 1.06074i −0.0675283 0.0531036i
\(400\) −11.4858 10.6573i −0.574291 0.532865i
\(401\) 0.800936 + 10.6877i 0.0399968 + 0.533720i 0.980832 + 0.194856i \(0.0624239\pi\)
−0.940835 + 0.338865i \(0.889957\pi\)
\(402\) 0.0936125 + 0.0828302i 0.00466897 + 0.00413120i
\(403\) −1.05797 + 14.1177i −0.0527015 + 0.703252i
\(404\) −9.54932 + 1.43933i −0.475096 + 0.0716092i
\(405\) 8.43536 + 25.5458i 0.419156 + 1.26938i
\(406\) 0.383746 0.763721i 0.0190450 0.0379028i
\(407\) 0.756608 + 10.0962i 0.0375037 + 0.500452i
\(408\) −0.293274 + 1.44109i −0.0145192 + 0.0713448i
\(409\) 0.200138 + 0.250965i 0.00989619 + 0.0124094i 0.786755 0.617265i \(-0.211760\pi\)
−0.776859 + 0.629675i \(0.783188\pi\)
\(410\) 1.42586 0.0704183
\(411\) 1.06919 + 10.8269i 0.0527390 + 0.534054i
\(412\) 3.00592 7.65896i 0.148091 0.377330i
\(413\) 2.81935 8.62239i 0.138731 0.424280i
\(414\) −0.268878 + 0.521123i −0.0132146 + 0.0256118i
\(415\) −5.37350 13.6914i −0.263775 0.672086i
\(416\) 3.60155 2.45549i 0.176580 0.120390i
\(417\) −1.40266 + 3.83823i −0.0686883 + 0.187959i
\(418\) 0.0339545 + 0.00511782i 0.00166077 + 0.000250321i
\(419\) −11.6937 29.7952i −0.571277 1.45559i −0.866018 0.500012i \(-0.833329\pi\)
0.294742 0.955577i \(-0.404766\pi\)
\(420\) 23.7822 + 13.5155i 1.16045 + 0.659491i
\(421\) −1.23036 + 3.13490i −0.0599639 + 0.152786i −0.957716 0.287716i \(-0.907104\pi\)
0.897752 + 0.440501i \(0.145199\pi\)
\(422\) 0.635815 1.10126i 0.0309510 0.0536087i
\(423\) −11.7367 + 34.6340i −0.570659 + 1.68396i
\(424\) −0.896840 + 2.28511i −0.0435544 + 0.110975i
\(425\) 3.37060 + 14.7676i 0.163498 + 0.716333i
\(426\) 0.692377 0.121157i 0.0335458 0.00587007i
\(427\) 3.09378 + 23.1634i 0.149718 + 1.12095i
\(428\) 1.49628 19.9665i 0.0723256 0.965118i
\(429\) 4.66009 + 18.4013i 0.224991 + 0.888424i
\(430\) −0.120080 + 1.60236i −0.00579078 + 0.0772726i
\(431\) 2.01961 1.87392i 0.0972811 0.0902637i −0.630033 0.776568i \(-0.716959\pi\)
0.727314 + 0.686305i \(0.240768\pi\)
\(432\) −3.16340 + 20.4464i −0.152199 + 0.983730i
\(433\) 8.15042 35.7093i 0.391684 1.71608i −0.267031 0.963688i \(-0.586043\pi\)
0.658715 0.752392i \(-0.271100\pi\)
\(434\) 0.312094 + 0.0286749i 0.0149810 + 0.00137644i
\(435\) 28.7416 9.61511i 1.37806 0.461009i
\(436\) −23.1436 + 7.13884i −1.10838 + 0.341889i
\(437\) 0.826943 1.03695i 0.0395581 0.0496042i
\(438\) 0.690006 0.908478i 0.0329697 0.0434088i
\(439\) −0.620376 + 0.298757i −0.0296089 + 0.0142589i −0.448630 0.893718i \(-0.648088\pi\)
0.419021 + 0.907977i \(0.362373\pi\)
\(440\) −1.09559 −0.0522301
\(441\) −20.1495 5.91593i −0.959499 0.281711i
\(442\) −1.40109 −0.0666431
\(443\) 23.4943 11.3143i 1.11625 0.537557i 0.217518 0.976056i \(-0.430204\pi\)
0.898732 + 0.438499i \(0.144490\pi\)
\(444\) −20.9081 2.64773i −0.992254 0.125656i
\(445\) 8.99624 11.2809i 0.426463 0.534768i
\(446\) −0.578964 + 0.178587i −0.0274148 + 0.00845633i
\(447\) 5.27626 25.9266i 0.249559 1.22629i
\(448\) 11.5213 + 17.5249i 0.544329 + 0.827973i
\(449\) 1.92645 8.44035i 0.0909150 0.398325i −0.908911 0.416991i \(-0.863085\pi\)
0.999826 + 0.0186660i \(0.00594193\pi\)
\(450\) −0.174819 0.627599i −0.00824107 0.0295853i
\(451\) −10.5285 + 9.76898i −0.495766 + 0.460003i
\(452\) −0.0466026 + 0.621868i −0.00219200 + 0.0292502i
\(453\) −20.6939 + 20.1318i −0.972285 + 0.945876i
\(454\) −0.0432700 + 0.577398i −0.00203076 + 0.0270986i
\(455\) −16.2111 + 49.5784i −0.759990 + 2.32427i
\(456\) −0.0491055 + 0.134372i −0.00229957 + 0.00629256i
\(457\) −0.0463565 0.203101i −0.00216847 0.00950068i 0.973832 0.227269i \(-0.0729795\pi\)
−0.976001 + 0.217768i \(0.930122\pi\)
\(458\) −0.241589 + 0.615560i −0.0112887 + 0.0287632i
\(459\) 13.6616 14.6090i 0.637668 0.681890i
\(460\) −10.5713 + 18.3100i −0.492888 + 0.853707i
\(461\) −6.10827 + 15.5636i −0.284490 + 0.724870i 0.715174 + 0.698947i \(0.246348\pi\)
−0.999664 + 0.0259229i \(0.991748\pi\)
\(462\) 0.409039 0.0962963i 0.0190302 0.00448011i
\(463\) 1.26551 + 3.22447i 0.0588133 + 0.149854i 0.957260 0.289229i \(-0.0933988\pi\)
−0.898447 + 0.439083i \(0.855304\pi\)
\(464\) 23.0479 + 3.47391i 1.06997 + 0.161272i
\(465\) 7.13234 + 8.52247i 0.330755 + 0.395220i
\(466\) −1.18719 + 0.809415i −0.0549957 + 0.0374954i
\(467\) 3.48807 + 8.88745i 0.161408 + 0.411262i 0.988582 0.150685i \(-0.0481478\pi\)
−0.827173 + 0.561947i \(0.810053\pi\)
\(468\) −39.4689 + 1.86695i −1.82445 + 0.0863000i
\(469\) −2.96677 1.78007i −0.136993 0.0821958i
\(470\) 0.734631 1.87181i 0.0338860 0.0863401i
\(471\) −11.6917 + 8.38275i −0.538727 + 0.386257i
\(472\) −0.756307 −0.0348119
\(473\) −10.0915 12.6544i −0.464010 0.581850i
\(474\) 0.0673378 + 0.0595819i 0.00309293 + 0.00273669i
\(475\) 0.110118 + 1.46942i 0.00505255 + 0.0674216i
\(476\) 0.342104 20.3347i 0.0156803 0.932038i
\(477\) 26.6661 20.0899i 1.22096 0.919852i
\(478\) 0.828877 0.124933i 0.0379119 0.00571431i
\(479\) −0.282197 + 3.76566i −0.0128939 + 0.172057i 0.987039 + 0.160480i \(0.0513042\pi\)
−0.999933 + 0.0115771i \(0.996315\pi\)
\(480\) 0.682357 3.35297i 0.0311452 0.153042i
\(481\) −3.00322 40.0752i −0.136935 1.82727i
\(482\) 0.983439 + 0.912498i 0.0447944 + 0.0415631i
\(483\) 4.67846 15.5423i 0.212877 0.707197i
\(484\) −12.0608 + 11.1908i −0.548218 + 0.508672i
\(485\) 21.2872 + 19.7516i 0.966601 + 0.896875i
\(486\) −0.557245 + 0.655399i −0.0252771 + 0.0297295i
\(487\) 24.7217 7.62564i 1.12025 0.345551i 0.321316 0.946972i \(-0.395875\pi\)
0.798932 + 0.601422i \(0.205399\pi\)
\(488\) 1.75535 0.845334i 0.0794611 0.0382665i
\(489\) 0.399200 + 4.04244i 0.0180524 + 0.182805i
\(490\) 1.09136 + 0.377287i 0.0493024 + 0.0170441i
\(491\) −2.16438 + 3.74882i −0.0976773 + 0.169182i −0.910723 0.413018i \(-0.864475\pi\)
0.813046 + 0.582200i \(0.197808\pi\)
\(492\) −15.5560 25.5308i −0.701320 1.15102i
\(493\) −16.5178 15.3263i −0.743926 0.690262i
\(494\) −0.134776 0.0203143i −0.00606387 0.000913982i
\(495\) 12.6944 + 7.80277i 0.570570 + 0.350708i
\(496\) 1.90183 + 8.33246i 0.0853947 + 0.374139i
\(497\) −18.2278 + 6.80232i −0.817630 + 0.305126i
\(498\) 0.284474 0.374546i 0.0127476 0.0167838i
\(499\) −1.66013 22.1530i −0.0743178 0.991703i −0.902345 0.431015i \(-0.858156\pi\)
0.828027 0.560688i \(-0.189463\pi\)
\(500\) 1.41449 + 6.19728i 0.0632579 + 0.277151i
\(501\) −4.71437 7.73731i −0.210622 0.345678i
\(502\) 0.101147 + 0.126834i 0.00451440 + 0.00566088i
\(503\) −12.9310 + 6.22722i −0.576563 + 0.277658i −0.699355 0.714774i \(-0.746529\pi\)
0.122792 + 0.992432i \(0.460815\pi\)
\(504\) 0.0532936 + 1.74997i 0.00237388 + 0.0779500i
\(505\) −13.0239 6.27199i −0.579556 0.279100i
\(506\) 0.0722734 + 0.316651i 0.00321295 + 0.0140768i
\(507\) −12.9696 51.2131i −0.576000 2.27445i
\(508\) −0.583996 −0.0259106
\(509\) 19.7615 + 34.2279i 0.875913 + 1.51713i 0.855787 + 0.517329i \(0.173074\pi\)
0.0201267 + 0.999797i \(0.493593\pi\)
\(510\) −0.788328 + 0.766917i −0.0349078 + 0.0339596i
\(511\) −14.1773 + 28.2152i −0.627165 + 1.24817i
\(512\) 2.73592 3.43074i 0.120912 0.151619i
\(513\) 1.52597 1.20722i 0.0673734 0.0533000i
\(514\) −0.0397071 0.529854i −0.00175140 0.0233709i
\(515\) 10.1757 6.93770i 0.448397 0.305712i
\(516\) 30.0012 15.3315i 1.32073 0.674931i
\(517\) 7.39983 + 18.8544i 0.325444 + 0.829218i
\(518\) −0.888162 + 0.0515514i −0.0390236 + 0.00226504i
\(519\) 38.2463 + 10.8145i 1.67883 + 0.474705i
\(520\) 4.34874 0.190705
\(521\) 1.78273 + 3.08778i 0.0781028 + 0.135278i 0.902431 0.430834i \(-0.141780\pi\)
−0.824329 + 0.566112i \(0.808447\pi\)
\(522\) 0.740791 + 0.624886i 0.0324235 + 0.0273505i
\(523\) 1.19301 + 0.367994i 0.0521665 + 0.0160912i 0.320729 0.947171i \(-0.396072\pi\)
−0.268562 + 0.963262i \(0.586548\pi\)
\(524\) 3.19892 + 42.6866i 0.139745 + 1.86477i
\(525\) 7.93465 + 16.1934i 0.346296 + 0.706737i
\(526\) 0.0472702 0.630777i 0.00206108 0.0275032i
\(527\) 3.01862 7.69132i 0.131493 0.335039i
\(528\) 5.96271 + 9.78611i 0.259494 + 0.425886i
\(529\) −9.99030 3.08160i −0.434361 0.133983i
\(530\) −1.51685 + 1.03417i −0.0658877 + 0.0449215i
\(531\) 8.76319 + 5.38641i 0.380290 + 0.233750i
\(532\) 0.327739 1.95111i 0.0142093 0.0845914i
\(533\) 41.7908 38.7762i 1.81016 1.67958i
\(534\) 0.457743 + 0.0579671i 0.0198085 + 0.00250848i
\(535\) 18.6865 23.4322i 0.807890 1.01306i
\(536\) −0.0641856 + 0.281215i −0.00277240 + 0.0121467i
\(537\) 6.15751 0.145549i 0.265716 0.00628092i
\(538\) −0.577217 0.999769i −0.0248856 0.0431031i
\(539\) −10.6434 + 4.69132i −0.458443 + 0.202070i
\(540\) −21.1854 + 22.6546i −0.911675 + 0.974899i
\(541\) −1.74241 + 23.2509i −0.0749122 + 0.999633i 0.825445 + 0.564482i \(0.190924\pi\)
−0.900357 + 0.435151i \(0.856695\pi\)
\(542\) −0.897770 0.833009i −0.0385625 0.0357808i
\(543\) 1.38566 27.0577i 0.0594642 1.16116i
\(544\) −2.43096 + 0.749851i −0.104226 + 0.0321496i
\(545\) −34.6427 10.6859i −1.48393 0.457732i
\(546\) −1.62361 + 0.382231i −0.0694840 + 0.0163580i
\(547\) 29.5648 9.11954i 1.26410 0.389923i 0.410983 0.911643i \(-0.365186\pi\)
0.853117 + 0.521720i \(0.174709\pi\)
\(548\) −10.3640 + 7.06604i −0.442727 + 0.301846i
\(549\) −26.3594 2.70689i −1.12499 0.115527i
\(550\) −0.298146 0.203273i −0.0127130 0.00866757i
\(551\) −1.36670 1.71379i −0.0582234 0.0730098i
\(552\) −1.35282 + 0.0319776i −0.0575800 + 0.00136106i
\(553\) −2.13407 1.28045i −0.0907499 0.0544501i
\(554\) −0.737383 + 0.502739i −0.0313284 + 0.0213593i
\(555\) −23.6258 20.9046i −1.00286 0.887349i
\(556\) −4.65887 + 0.702212i −0.197580 + 0.0297804i
\(557\) −18.8429 32.6369i −0.798400 1.38287i −0.920658 0.390371i \(-0.872347\pi\)
0.122258 0.992498i \(-0.460986\pi\)
\(558\) −0.114057 + 0.336571i −0.00482840 + 0.0142482i
\(559\) 40.0566 + 50.2293i 1.69421 + 2.12447i
\(560\) −0.529701 + 31.4854i −0.0223839 + 1.33050i
\(561\) 0.566596 11.0639i 0.0239217 0.467119i
\(562\) −0.290904 0.0438468i −0.0122711 0.00184956i
\(563\) 20.8735 + 10.0522i 0.879714 + 0.423648i 0.818520 0.574478i \(-0.194795\pi\)
0.0611942 + 0.998126i \(0.480509\pi\)
\(564\) −41.5305 + 7.26729i −1.74875 + 0.306008i
\(565\) −0.582003 + 0.729808i −0.0244850 + 0.0307033i
\(566\) 0.418477 0.524754i 0.0175899 0.0220570i
\(567\) 11.8458 20.6562i 0.497477 0.867477i
\(568\) 1.01132 + 1.26816i 0.0424342 + 0.0532108i
\(569\) 1.14968 0.0481973 0.0240986 0.999710i \(-0.492328\pi\)
0.0240986 + 0.999710i \(0.492328\pi\)
\(570\) −0.0869518 + 0.0623428i −0.00364201 + 0.00261125i
\(571\) −6.00014 7.52393i −0.251098 0.314867i 0.640268 0.768152i \(-0.278823\pi\)
−0.891366 + 0.453285i \(0.850252\pi\)
\(572\) −16.0431 + 14.8859i −0.670797 + 0.622409i
\(573\) −20.1632 + 3.52830i −0.842331 + 0.147397i
\(574\) −0.842729 0.939458i −0.0351748 0.0392122i
\(575\) −12.5575 + 6.04739i −0.523685 + 0.252193i
\(576\) −22.3679 + 8.07545i −0.931996 + 0.336477i
\(577\) −14.3811 9.80490i −0.598695 0.408183i 0.225701 0.974197i \(-0.427533\pi\)
−0.824396 + 0.566013i \(0.808485\pi\)
\(578\) −0.115115 0.0355082i −0.00478815 0.00147695i
\(579\) −12.5233 + 2.19141i −0.520450 + 0.0910719i
\(580\) 25.6147 + 23.7670i 1.06359 + 0.986870i
\(581\) −5.84498 + 11.6325i −0.242490 + 0.482598i
\(582\) −0.185181 + 0.909946i −0.00767601 + 0.0377185i
\(583\) 4.11491 18.0286i 0.170422 0.746668i
\(584\) 2.60317 + 0.392365i 0.107720 + 0.0162362i
\(585\) −50.3880 30.9717i −2.08329 1.28052i
\(586\) −0.105464 + 1.40732i −0.00435667 + 0.0581357i
\(587\) 2.72395 + 4.71802i 0.112429 + 0.194734i 0.916749 0.399463i \(-0.130803\pi\)
−0.804320 + 0.594197i \(0.797470\pi\)
\(588\) −5.15106 23.6575i −0.212426 0.975619i
\(589\) 0.401888 0.696091i 0.0165595 0.0286819i
\(590\) −0.467331 0.318621i −0.0192397 0.0131174i
\(591\) 4.18244 + 9.95807i 0.172043 + 0.409620i
\(592\) −8.86362 22.5841i −0.364293 0.928202i
\(593\) 17.7229 + 16.4444i 0.727791 + 0.675291i 0.954345 0.298707i \(-0.0965554\pi\)
−0.226554 + 0.973999i \(0.572746\pi\)
\(594\) −0.00185824 + 0.476483i −7.62445e−5 + 0.0195503i
\(595\) 17.5695 24.8607i 0.720281 1.01919i
\(596\) 29.1493 8.99138i 1.19400 0.368301i
\(597\) 14.2284 + 17.0016i 0.582330 + 0.695828i
\(598\) −0.286876 1.25689i −0.0117312 0.0513979i
\(599\) 9.43946 4.54581i 0.385686 0.185737i −0.230986 0.972957i \(-0.574195\pi\)
0.616671 + 0.787221i \(0.288481\pi\)
\(600\) 1.07761 1.04834i 0.0439931 0.0427982i
\(601\) 2.15492 + 1.46920i 0.0879011 + 0.0599300i 0.606473 0.795104i \(-0.292584\pi\)
−0.518572 + 0.855034i \(0.673536\pi\)
\(602\) 1.12672 0.867927i 0.0459216 0.0353741i
\(603\) 2.74652 2.80126i 0.111847 0.114076i
\(604\) −31.8077 9.81136i −1.29424 0.399219i
\(605\) −24.3526 + 3.67056i −0.990073 + 0.149229i
\(606\) −0.0454272 0.460011i −0.00184535 0.0186867i
\(607\) 15.5544 + 26.9410i 0.631333 + 1.09350i 0.987279 + 0.158995i \(0.0508254\pi\)
−0.355946 + 0.934507i \(0.615841\pi\)
\(608\) −0.244715 + 0.0368849i −0.00992452 + 0.00149588i
\(609\) −23.3223 13.2542i −0.945068 0.537086i
\(610\) 1.44078 + 0.217162i 0.0583354 + 0.00879265i
\(611\) −29.3723 74.8393i −1.18827 3.02768i
\(612\) 22.3327 + 5.74846i 0.902744 + 0.232368i
\(613\) −0.443309 5.91555i −0.0179051 0.238927i −0.998975 0.0452715i \(-0.985585\pi\)
0.981070 0.193655i \(-0.0620343\pi\)
\(614\) 0.0685966 0.0860174i 0.00276833 0.00347138i
\(615\) 2.28877 44.6927i 0.0922919 1.80218i
\(616\) 0.647527 + 0.721850i 0.0260896 + 0.0290842i
\(617\) 5.86697 0.884303i 0.236195 0.0356007i −0.0298779 0.999554i \(-0.509512\pi\)
0.266073 + 0.963953i \(0.414274\pi\)
\(618\) 0.358764 + 0.162442i 0.0144316 + 0.00653439i
\(619\) 5.43604 9.41549i 0.218493 0.378441i −0.735855 0.677140i \(-0.763219\pi\)
0.954347 + 0.298699i \(0.0965527\pi\)
\(620\) −4.68106 + 11.9272i −0.187996 + 0.479006i
\(621\) 15.9027 + 9.26428i 0.638151 + 0.371763i
\(622\) −0.358697 0.172739i −0.0143824 0.00692622i
\(623\) −12.7497 + 0.740030i −0.510807 + 0.0296487i
\(624\) −23.6679 38.8442i −0.947474 1.55501i
\(625\) −10.6645 + 27.1727i −0.426580 + 1.08691i
\(626\) 1.20338 0.579519i 0.0480969 0.0231622i
\(627\) 0.214918 1.05607i 0.00858298 0.0421752i
\(628\) −14.9440 7.19667i −0.596332 0.287178i
\(629\) −5.21906 + 22.8662i −0.208098 + 0.911736i
\(630\) −0.704306 + 1.10378i −0.0280602 + 0.0439756i
\(631\) 3.44458 + 15.0917i 0.137126 + 0.600790i 0.996058 + 0.0887003i \(0.0282714\pi\)
−0.858932 + 0.512090i \(0.828872\pi\)
\(632\) −0.0461703 + 0.202285i −0.00183656 + 0.00804648i
\(633\) −33.4977 21.6969i −1.33142 0.862374i
\(634\) −0.201120 + 0.881166i −0.00798751 + 0.0349956i
\(635\) −0.722265 0.492432i −0.0286622 0.0195416i
\(636\) 35.0661 + 15.8773i 1.39046 + 0.629577i
\(637\) 42.2470 18.6214i 1.67389 0.737805i
\(638\) 0.536791 0.0212518
\(639\) −2.68619 21.8966i −0.106264 0.866215i
\(640\) 5.02506 1.55003i 0.198633 0.0612702i
\(641\) 6.37462 + 16.2423i 0.251783 + 0.641531i 0.999754 0.0221999i \(-0.00706704\pi\)
−0.747971 + 0.663731i \(0.768972\pi\)
\(642\) 0.950800 + 0.120406i 0.0375251 + 0.00475206i
\(643\) −28.5101 8.79420i −1.12433 0.346809i −0.323812 0.946121i \(-0.604965\pi\)
−0.800516 + 0.599312i \(0.795441\pi\)
\(644\) 18.3118 3.85668i 0.721588 0.151974i
\(645\) 50.0321 + 6.33590i 1.97001 + 0.249476i
\(646\) 0.0716690 + 0.0345140i 0.00281978 + 0.00135793i
\(647\) −21.7896 + 20.2178i −0.856638 + 0.794844i −0.980307 0.197479i \(-0.936724\pi\)
0.123669 + 0.992324i \(0.460534\pi\)
\(648\) −1.94377 0.403473i −0.0763585 0.0158499i
\(649\) 5.63369 0.849142i 0.221142 0.0333318i
\(650\) 1.18344 + 0.806854i 0.0464182 + 0.0316474i
\(651\) 1.39976 9.73633i 0.0548610 0.381597i
\(652\) −3.86958 + 2.63823i −0.151544 + 0.103321i
\(653\) −17.2019 + 15.9611i −0.673163 + 0.624604i −0.940819 0.338911i \(-0.889942\pi\)
0.267655 + 0.963515i \(0.413751\pi\)
\(654\) −0.284603 1.12381i −0.0111288 0.0439446i
\(655\) −32.0375 + 55.4907i −1.25181 + 2.16820i
\(656\) 17.2083 29.8056i 0.671870 1.16371i
\(657\) −27.3680 23.0860i −1.06773 0.900671i
\(658\) −1.66747 + 0.622271i −0.0650047 + 0.0242587i
\(659\) 2.22058 + 0.334699i 0.0865016 + 0.0130380i 0.192150 0.981365i \(-0.438454\pi\)
−0.105649 + 0.994403i \(0.533692\pi\)
\(660\) −0.878638 + 17.1571i −0.0342009 + 0.667841i
\(661\) −1.57432 0.758152i −0.0612339 0.0294887i 0.403016 0.915193i \(-0.367962\pi\)
−0.464250 + 0.885704i \(0.653676\pi\)
\(662\) 0.477464 + 0.229934i 0.0185572 + 0.00893665i
\(663\) −2.24900 + 43.9162i −0.0873440 + 1.70556i
\(664\) 1.07323 + 0.161764i 0.0416494 + 0.00627764i
\(665\) 2.05054 2.13671i 0.0795164 0.0828581i
\(666\) 0.177754 0.992992i 0.00688784 0.0384776i
\(667\) 10.3668 17.9559i 0.401405 0.695255i
\(668\) 5.22307 9.04663i 0.202087 0.350024i
\(669\) 4.66834 + 18.4339i 0.180488 + 0.712696i
\(670\) −0.158133 + 0.146726i −0.00610920 + 0.00566851i
\(671\) −12.1264 + 8.26767i −0.468136 + 0.319170i
\(672\) −2.61247 + 1.53213i −0.100778 + 0.0591032i
\(673\) 7.36817 + 5.02353i 0.284022 + 0.193643i 0.696948 0.717122i \(-0.254541\pi\)
−0.412926 + 0.910765i \(0.635493\pi\)
\(674\) −1.34537 + 0.202782i −0.0518217 + 0.00781087i
\(675\) −19.9523 + 4.47219i −0.767964 + 0.172135i
\(676\) 44.6500 41.4292i 1.71731 1.59343i
\(677\) −27.4122 13.2010i −1.05353 0.507356i −0.174769 0.984609i \(-0.555918\pi\)
−0.878765 + 0.477254i \(0.841632\pi\)
\(678\) −0.0296132 0.00375012i −0.00113729 0.000144023i
\(679\) 0.432357 25.6993i 0.0165923 0.986249i
\(680\) −2.42525 0.748092i −0.0930043 0.0286880i
\(681\) 18.0287 + 2.28310i 0.690861 + 0.0874884i
\(682\) 0.0719110 + 0.183226i 0.00275361 + 0.00701609i
\(683\) −46.8393 + 14.4480i −1.79225 + 0.552837i −0.998467 0.0553572i \(-0.982370\pi\)
−0.793788 + 0.608195i \(0.791894\pi\)
\(684\) 2.06492 + 0.876766i 0.0789541 + 0.0335240i
\(685\) −18.7760 −0.717393
\(686\) −0.396442 0.942050i −0.0151362 0.0359676i
\(687\) 18.9065 + 8.56054i 0.721328 + 0.326605i
\(688\) 32.0458 + 21.8484i 1.22173 + 0.832964i
\(689\) −16.3334 + 71.5613i −0.622253 + 2.72627i
\(690\) −0.849396 0.550164i −0.0323360 0.0209444i
\(691\) −8.90219 + 39.0030i −0.338655 + 1.48374i 0.463215 + 0.886246i \(0.346696\pi\)
−0.801870 + 0.597499i \(0.796161\pi\)
\(692\) 10.1970 + 44.6758i 0.387630 + 1.69832i
\(693\) −2.36176 12.9756i −0.0897158 0.492903i
\(694\) −0.122988 + 0.538845i −0.00466856 + 0.0204543i
\(695\) −6.35404 3.05995i −0.241023 0.116070i
\(696\) −0.445994 + 2.19153i −0.0169054 + 0.0830698i
\(697\) −29.9769 + 14.4361i −1.13545 + 0.546806i
\(698\) −0.190286 + 0.484841i −0.00720243 + 0.0183515i
\(699\) 23.4649 + 38.5110i 0.887524 + 1.45662i
\(700\) −11.9992 + 16.9788i −0.453527 + 0.641737i
\(701\) −11.3127 5.44789i −0.427274 0.205764i 0.207873 0.978156i \(-0.433346\pi\)
−0.635146 + 0.772392i \(0.719060\pi\)
\(702\) 0.00737595 1.89131i 0.000278387 0.0713830i
\(703\) −0.833577 + 2.12392i −0.0314390 + 0.0801051i
\(704\) −6.58588 + 11.4071i −0.248215 + 0.429921i
\(705\) −57.4913 26.0311i −2.16525 0.980387i
\(706\) 0.492882 0.0742899i 0.0185498 0.00279594i
\(707\) 3.56512 + 12.2880i 0.134080 + 0.462138i
\(708\) −0.606542 + 11.8439i −0.0227952 + 0.445122i
\(709\) −2.71044 + 3.39878i −0.101793 + 0.127644i −0.830119 0.557587i \(-0.811727\pi\)
0.728326 + 0.685231i \(0.240299\pi\)
\(710\) 0.0906518 + 1.20966i 0.00340210 + 0.0453979i
\(711\) 1.97564 2.01502i 0.0740923 0.0755691i
\(712\) 0.388994 + 0.991141i 0.0145782 + 0.0371446i
\(713\) 7.51778 + 1.13312i 0.281543 + 0.0424358i
\(714\) 0.971225 + 0.0661342i 0.0363472 + 0.00247501i
\(715\) −32.3935 + 4.88254i −1.21145 + 0.182597i
\(716\) 3.55062 + 6.14985i 0.132693 + 0.229831i
\(717\) −2.58544 26.1811i −0.0965552 0.977751i
\(718\) −1.40472 + 0.211727i −0.0524235 + 0.00790157i
\(719\) −20.6170 6.35950i −0.768884 0.237169i −0.114593 0.993413i \(-0.536556\pi\)
−0.654290 + 0.756243i \(0.727033\pi\)
\(720\) −34.5790 8.90069i −1.28868 0.331709i
\(721\) −10.5852 2.60409i −0.394214 0.0969814i
\(722\) −0.859954 0.586307i −0.0320042 0.0218201i
\(723\) 30.1802 29.3605i 1.12241 1.09193i
\(724\) 28.1434 13.5531i 1.04594 0.503698i
\(725\) 5.12582 + 22.4577i 0.190368 + 0.834057i
\(726\) −0.505430 0.603940i −0.0187583 0.0224143i
\(727\) −5.11672 + 1.57830i −0.189769 + 0.0585359i −0.388183 0.921582i \(-0.626897\pi\)
0.198414 + 0.980118i \(0.436421\pi\)
\(728\) −2.57024 2.86525i −0.0952595 0.106193i
\(729\) 19.6486 + 18.5185i 0.727724 + 0.685870i
\(730\) 1.44323 + 1.33912i 0.0534164 + 0.0495631i
\(731\) −13.6985 34.9032i −0.506657 1.29094i
\(732\) −11.8304 28.1672i −0.437262 1.04109i
\(733\) 13.0899 + 8.92456i 0.483488 + 0.329636i 0.780413 0.625264i \(-0.215009\pi\)
−0.296925 + 0.954901i \(0.595961\pi\)
\(734\) −0.844139 + 1.46209i −0.0311577 + 0.0539668i
\(735\) 13.5776 33.6022i 0.500818 1.23944i
\(736\) −1.17042 2.02723i −0.0431422 0.0747245i
\(737\) 0.162381 2.16682i 0.00598138 0.0798160i
\(738\) 1.25854 0.681127i 0.0463274 0.0250726i
\(739\) −30.7434 4.63383i −1.13092 0.170458i −0.443189 0.896428i \(-0.646153\pi\)
−0.687727 + 0.725970i \(0.741391\pi\)
\(740\) 8.09336 35.4593i 0.297518 1.30351i
\(741\) −0.853077 + 4.19186i −0.0313386 + 0.153992i
\(742\) 1.57789 + 0.388179i 0.0579262 + 0.0142505i
\(743\) 20.9786 + 19.4653i 0.769630 + 0.714112i 0.963733 0.266869i \(-0.0859891\pi\)
−0.194103 + 0.980981i \(0.562180\pi\)
\(744\) −0.807796 + 0.141354i −0.0296153 + 0.00518228i
\(745\) 43.6325 + 13.4588i 1.59857 + 0.493094i
\(746\) 1.22120 + 0.832598i 0.0447112 + 0.0304836i
\(747\) −11.2832 9.51787i −0.412832 0.348241i
\(748\) 11.5079 5.54190i 0.420769 0.202632i
\(749\) −26.4831 + 1.53715i −0.967671 + 0.0561663i
\(750\) −0.299713 + 0.0524458i −0.0109440 + 0.00191505i
\(751\) 9.53870 8.85062i 0.348072 0.322964i −0.486690 0.873575i \(-0.661796\pi\)
0.834762 + 0.550611i \(0.185605\pi\)
\(752\) −30.2614 37.9466i −1.10352 1.38377i
\(753\) 4.13788 2.96678i 0.150793 0.108116i
\(754\) −2.13070 −0.0775954
\(755\) −31.0655 38.9549i −1.13059 1.41772i
\(756\) 27.4477 + 0.568852i 0.998263 + 0.0206889i
\(757\) 4.36148 5.46913i 0.158521 0.198779i −0.696228 0.717821i \(-0.745140\pi\)
0.854749 + 0.519042i \(0.173711\pi\)
\(758\) 0.0852734 0.106929i 0.00309727 0.00388385i
\(759\) 10.0412 1.75708i 0.364473 0.0637779i
\(760\) −0.222448 0.107125i −0.00806904 0.00388585i
\(761\) −30.2837 4.56454i −1.09778 0.165464i −0.424920 0.905231i \(-0.639698\pi\)
−0.672864 + 0.739766i \(0.734936\pi\)
\(762\) 0.00142966 0.0279169i 5.17910e−5 0.00101132i
\(763\) 13.4343 + 29.1407i 0.486355 + 1.05496i
\(764\) −14.7145 18.4514i −0.532353 0.667549i
\(765\) 22.7731 + 25.9406i 0.823362 + 0.937886i
\(766\) 0.0338708 + 0.0586660i 0.00122380 + 0.00211969i
\(767\) −22.3619 + 3.37052i −0.807442 + 0.121702i
\(768\) −20.4394 18.0852i −0.737542 0.652592i
\(769\) −34.6493 + 23.6235i −1.24949 + 0.851886i −0.993393 0.114766i \(-0.963388\pi\)
−0.256095 + 0.966652i \(0.582436\pi\)
\(770\) 0.0960097 + 0.718832i 0.00345995 + 0.0259049i
\(771\) −16.6716 + 0.394079i −0.600414 + 0.0141924i
\(772\) −9.13912 11.4601i −0.328924 0.412458i
\(773\) 37.5014 + 25.5680i 1.34883 + 0.919618i 0.999847 0.0175101i \(-0.00557391\pi\)
0.348985 + 0.937128i \(0.386526\pi\)
\(774\) 0.659449 + 1.47168i 0.0237034 + 0.0528986i
\(775\) −6.97893 + 4.75816i −0.250691 + 0.170918i
\(776\) −2.04767 + 0.631623i −0.0735071 + 0.0226739i
\(777\) 0.190183 + 27.9216i 0.00682277 + 1.00168i
\(778\) 0.845889 + 0.260922i 0.0303266 + 0.00935452i
\(779\) −3.09290 + 0.954033i −0.110815 + 0.0341818i
\(780\) 3.48759 68.1022i 0.124876 2.43845i
\(781\) −8.95712 8.31099i −0.320511 0.297391i
\(782\) −0.0562276 + 0.750305i −0.00201069 + 0.0268309i
\(783\) 20.7757 22.2165i 0.742464 0.793953i
\(784\) 21.0579 18.2599i 0.752067 0.652138i
\(785\) −12.4139 21.5016i −0.443073 0.767424i
\(786\) −2.04839 + 0.0484192i −0.0730636 + 0.00172706i
\(787\) −6.31605 + 27.6724i −0.225143 + 0.986415i 0.728399 + 0.685153i \(0.240265\pi\)
−0.953542 + 0.301262i \(0.902592\pi\)
\(788\) −7.76409 + 9.73586i −0.276584 + 0.346826i
\(789\) −19.6954 2.49416i −0.701175 0.0887946i
\(790\) −0.113749 + 0.105544i −0.00404700 + 0.00375507i
\(791\) 0.824831 0.0478755i 0.0293276 0.00170226i
\(792\) −0.967021 + 0.523357i −0.0343616 + 0.0185967i
\(793\) 48.1337 32.8170i 1.70928 1.16537i
\(794\) −0.357918 0.110403i −0.0127020 0.00391806i
\(795\) 29.9805 + 49.2046i 1.06330 + 1.74511i
\(796\) −9.33831 + 23.7936i −0.330988 + 0.843342i
\(797\) 0.281424 3.75534i 0.00996855 0.133021i −0.989999 0.141074i \(-0.954944\pi\)
0.999968 + 0.00805316i \(0.00256343\pi\)
\(798\) 0.0924670 + 0.0204434i 0.00327330 + 0.000723688i
\(799\) 3.50643 + 46.7900i 0.124048 + 1.65531i
\(800\) 2.48514 + 0.766564i 0.0878630 + 0.0271021i
\(801\) 2.55170 14.2546i 0.0901598 0.503661i
\(802\) −0.295737 0.512231i −0.0104428 0.0180875i
\(803\) −19.8314 −0.699835
\(804\) 4.35242 + 1.23069i 0.153498 + 0.0434030i
\(805\) 25.8994 + 10.6710i 0.912835 + 0.376102i
\(806\) −0.285438 0.727283i −0.0100541 0.0256175i
\(807\) −32.2636 + 16.4877i −1.13573 + 0.580393i
\(808\) 0.881353 0.600897i 0.0310059 0.0211395i
\(809\) −1.12910 15.0669i −0.0396972 0.529723i −0.981235 0.192815i \(-0.938238\pi\)
0.941538 0.336907i \(-0.109381\pi\)
\(810\) −1.03110 1.06819i −0.0362292 0.0375324i
\(811\) 9.07621 11.3812i 0.318709 0.399648i −0.596510 0.802606i \(-0.703446\pi\)
0.915219 + 0.402958i \(0.132018\pi\)
\(812\) 0.520252 30.9238i 0.0182573 1.08521i
\(813\) −27.5512 + 26.8028i −0.966261 + 0.940017i
\(814\) −0.279369 0.483882i −0.00979189 0.0169601i
\(815\) −7.01035 −0.245562
\(816\) 6.51721 + 25.7345i 0.228148 + 0.900889i
\(817\) −0.811654 3.55609i −0.0283962 0.124412i
\(818\) −0.0159604 0.00768611i −0.000558042 0.000268739i
\(819\) 9.37458 + 51.5044i 0.327574 + 1.79971i
\(820\) 46.4860 22.3865i 1.62336 0.781770i
\(821\) −28.3736 35.5794i −0.990245 1.24173i −0.970294 0.241927i \(-0.922221\pi\)
−0.0199506 0.999801i \(-0.506351\pi\)
\(822\) −0.312408 0.512729i −0.0108965 0.0178835i
\(823\) −1.86601 8.17554i −0.0650452 0.284982i 0.931936 0.362622i \(-0.118118\pi\)
−0.996981 + 0.0776407i \(0.975261\pi\)
\(824\) 0.0679155 + 0.906269i 0.00236595 + 0.0315714i
\(825\) −6.85002 + 9.01889i −0.238487 + 0.313998i
\(826\) 0.0662775 + 0.496225i 0.00230609 + 0.0172659i
\(827\) 11.4407 + 50.1250i 0.397832 + 1.74302i 0.635902 + 0.771770i \(0.280628\pi\)
−0.238070 + 0.971248i \(0.576515\pi\)
\(828\) −0.584158 + 21.2111i −0.0203009 + 0.737138i
\(829\) 24.7471 + 3.73003i 0.859503 + 0.129549i 0.563982 0.825787i \(-0.309269\pi\)
0.295521 + 0.955336i \(0.404507\pi\)
\(830\) 0.595013 + 0.552091i 0.0206532 + 0.0191634i
\(831\) 14.5744 + 23.9197i 0.505580 + 0.829767i
\(832\) 26.1415 45.2784i 0.906293 1.56974i
\(833\) −26.7641 + 3.11743i −0.927323 + 0.108013i
\(834\) −0.0221628 0.224428i −0.000767435 0.00777131i
\(835\) 14.0879 6.78439i 0.487533 0.234783i
\(836\) 1.18734 0.366245i 0.0410649 0.0126669i
\(837\) 10.3665 + 4.11528i 0.358319 + 0.142245i
\(838\) 1.29486 + 1.20145i 0.0447302 + 0.0415036i
\(839\) −15.2432 + 14.1436i −0.526254 + 0.488292i −0.897972 0.440054i \(-0.854959\pi\)
0.371718 + 0.928346i \(0.378769\pi\)
\(840\) −3.01451 0.205269i −0.104011 0.00708245i
\(841\) −3.86086 3.58235i −0.133133 0.123529i
\(842\) −0.0138887 0.185332i −0.000478636 0.00638695i
\(843\) −1.84130 + 9.04781i −0.0634178 + 0.311623i
\(844\) 3.43867 45.8859i 0.118364 1.57946i
\(845\) 90.1551 13.5887i 3.10143 0.467465i
\(846\) −0.245731 2.00308i −0.00844840 0.0688674i
\(847\) 16.8115 + 13.8758i 0.577652 + 0.476777i
\(848\) 3.31148 + 44.1886i 0.113717 + 1.51744i
\(849\) −15.7763 13.9592i −0.541441 0.479078i
\(850\) −0.521194 0.653556i −0.0178768 0.0224168i
\(851\) −21.5814 −0.739801
\(852\) 20.6707 14.8205i 0.708167 0.507742i
\(853\) 12.5600 32.0025i 0.430048 1.09574i −0.537547 0.843234i \(-0.680649\pi\)
0.967594 0.252509i \(-0.0812559\pi\)
\(854\) −0.708463 1.07764i −0.0242431 0.0368759i
\(855\) 1.81452 + 2.82552i 0.0620552 + 0.0966306i
\(856\) 0.807999 + 2.05875i 0.0276168 + 0.0703666i
\(857\) 37.0850 25.2841i 1.26680 0.863690i 0.271683 0.962387i \(-0.412420\pi\)
0.995118 + 0.0986969i \(0.0314674\pi\)
\(858\) −0.672317 0.803355i −0.0229525 0.0274261i
\(859\) −29.7056 4.47739i −1.01354 0.152767i −0.378789 0.925483i \(-0.623660\pi\)
−0.634752 + 0.772716i \(0.718898\pi\)
\(860\) 21.2427 + 54.1254i 0.724369 + 1.84566i
\(861\) −30.7994 + 24.9068i −1.04964 + 0.848820i
\(862\) −0.0555475 + 0.141533i −0.00189195 + 0.00482062i
\(863\) 9.92064 17.1831i 0.337703 0.584918i −0.646298 0.763085i \(-0.723684\pi\)
0.984000 + 0.178167i \(0.0570168\pi\)
\(864\) −0.999416 3.28546i −0.0340008 0.111774i
\(865\) −25.0599 + 63.8516i −0.852062 + 2.17102i
\(866\) 0.449793 + 1.97067i 0.0152846 + 0.0669662i
\(867\) −1.29776 + 3.55120i −0.0440743 + 0.120605i
\(868\) 10.6251 3.96511i 0.360639 0.134585i
\(869\) 0.116805 1.55865i 0.00396233 0.0528736i
\(870\) −1.19884 + 1.16628i −0.0406446 + 0.0395407i
\(871\) −0.644542 + 8.60081i −0.0218395 + 0.291427i
\(872\) 1.96108 1.81962i 0.0664106 0.0616200i
\(873\) 28.2244 + 7.26500i 0.955251 + 0.245883i
\(874\) −0.0162873 + 0.0713595i −0.000550928 + 0.00241377i
\(875\) 7.89037 2.94455i 0.266743 0.0995441i
\(876\) 8.23220 40.4515i 0.278140 1.36673i
\(877\) 32.0565 9.88811i 1.08247 0.333898i 0.298318 0.954467i \(-0.403574\pi\)
0.784152 + 0.620569i \(0.213098\pi\)
\(878\) 0.0236923 0.0297092i 0.000799577 0.00100264i
\(879\) 43.9421 + 5.56468i 1.48213 + 0.187692i
\(880\) −17.8183 + 8.58086i −0.600656 + 0.289261i
\(881\) 45.2498 1.52450 0.762252 0.647281i \(-0.224094\pi\)
0.762252 + 0.647281i \(0.224094\pi\)
\(882\) 1.14351 0.188322i 0.0385041 0.00634114i
\(883\) −35.2609 −1.18662 −0.593312 0.804973i \(-0.702180\pi\)
−0.593312 + 0.804973i \(0.702180\pi\)
\(884\) −45.6784 + 21.9976i −1.53633 + 0.739858i
\(885\) −10.7371 + 14.1367i −0.360923 + 0.475200i
\(886\) −0.897255 + 1.12512i −0.0301439 + 0.0377992i
\(887\) 11.5671 3.56797i 0.388385 0.119801i −0.0944122 0.995533i \(-0.530097\pi\)
0.482797 + 0.875732i \(0.339621\pi\)
\(888\) 2.20764 0.738534i 0.0740834 0.0247836i
\(889\) 0.102433 + 0.766922i 0.00343548 + 0.0257217i
\(890\) −0.177189 + 0.776314i −0.00593938 + 0.0260221i
\(891\) 14.9320 + 0.823086i 0.500242 + 0.0275744i
\(892\) −16.0715 + 14.9122i −0.538115 + 0.499298i
\(893\) −0.341107 + 4.55175i −0.0114147 + 0.152319i
\(894\) 0.358457 + 1.41544i 0.0119886 + 0.0473395i
\(895\) −0.794348 + 10.5998i −0.0265521 + 0.354313i
\(896\) −3.99124 2.39475i −0.133338 0.0800030i
\(897\) −39.8567 + 6.97441i −1.33078 + 0.232869i
\(898\) 0.106314 + 0.465794i 0.00354776 + 0.0155437i
\(899\) 4.59054 11.6965i 0.153103 0.390100i
\(900\) −15.5530 17.7163i −0.518433 0.590543i
\(901\) 21.4193 37.0994i 0.713581 1.23596i
\(902\) 0.289575 0.737826i 0.00964181 0.0245669i
\(903\) −25.3960 36.7093i −0.845125 1.22161i
\(904\) −0.0251656 0.0641208i −0.000836995 0.00213263i
\(905\) 46.2349 + 6.96879i 1.53690 + 0.231650i
\(906\) 0.546882 1.49649i 0.0181689 0.0497175i
\(907\) 0.0359423 0.0245050i 0.00119344 0.000813677i −0.562723 0.826645i \(-0.690246\pi\)
0.563917 + 0.825832i \(0.309294\pi\)
\(908\) 7.65464 + 19.5037i 0.254028 + 0.647253i
\(909\) −14.4917 + 0.685482i −0.480658 + 0.0227360i
\(910\) −0.381093 2.85327i −0.0126331 0.0945851i
\(911\) 15.7306 40.0808i 0.521177 1.32794i −0.391846 0.920031i \(-0.628164\pi\)
0.913024 0.407907i \(-0.133741\pi\)
\(912\) 0.253793 + 2.57000i 0.00840393 + 0.0851011i
\(913\) −8.17606 −0.270588
\(914\) 0.00716808 + 0.00898849i 0.000237099 + 0.000297313i
\(915\) 9.11951 44.8116i 0.301482 1.48143i
\(916\) 1.78817 + 23.8615i 0.0590829 + 0.788407i
\(917\) 55.4963 11.6881i 1.83265 0.385976i
\(918\) −0.329466 + 1.05350i −0.0108740 + 0.0347707i
\(919\) −53.2052 + 8.01939i −1.75508 + 0.264535i −0.946232 0.323488i \(-0.895144\pi\)
−0.808844 + 0.588023i \(0.799906\pi\)
\(920\) 0.174521 2.32882i 0.00575377 0.0767788i
\(921\) −2.58605 2.28819i −0.0852131 0.0753983i
\(922\) −0.0689522 0.920104i −0.00227082 0.0303020i
\(923\) 35.5537 + 32.9890i 1.17026 + 1.08585i
\(924\) 11.8236 9.56150i 0.388969 0.314550i
\(925\) 17.5764 16.3085i 0.577909 0.536221i
\(926\) −0.140132 0.130023i −0.00460501 0.00427282i
\(927\) 5.66752 10.9845i 0.186146 0.360777i
\(928\) −3.69686 + 1.14033i −0.121355 + 0.0374332i
\(929\) −38.8603 + 18.7141i −1.27497 + 0.613991i −0.944091 0.329684i \(-0.893058\pi\)
−0.330874 + 0.943675i \(0.607344\pi\)
\(930\) −0.558697 0.252968i −0.0183204 0.00829515i
\(931\) −2.61975 0.0881725i −0.0858587 0.00288974i
\(932\) −25.9969 + 45.0279i −0.851555 + 1.47494i
\(933\) −5.99017 + 10.9658i −0.196109 + 0.359005i
\(934\) −0.386237 0.358376i −0.0126381 0.0117264i
\(935\) 18.9055 + 2.84955i 0.618276 + 0.0931901i
\(936\) 3.83842 2.07737i 0.125463 0.0679009i
\(937\) 9.70281 + 42.5108i 0.316977 + 1.38877i 0.842825 + 0.538188i \(0.180891\pi\)
−0.525847 + 0.850579i \(0.676252\pi\)
\(938\) 0.190135 + 0.0174694i 0.00620811 + 0.000570396i
\(939\) −16.2330 38.6494i −0.529743 1.26128i
\(940\) −5.43752 72.5587i −0.177352 2.36660i
\(941\) −11.7954 51.6790i −0.384519 1.68469i −0.683117 0.730309i \(-0.739376\pi\)
0.298598 0.954379i \(-0.403481\pi\)
\(942\) 0.380608 0.696755i 0.0124009 0.0227015i
\(943\) −19.0881 23.9358i −0.621595 0.779455i
\(944\) −12.3004 + 5.92354i −0.400343 + 0.192795i
\(945\) 33.4667 + 23.8477i 1.08867 + 0.775767i
\(946\) 0.804769 + 0.387556i 0.0261653 + 0.0126005i
\(947\) 11.6090 + 50.8622i 0.377240 + 1.65280i 0.705872 + 0.708340i \(0.250556\pi\)
−0.328631 + 0.944458i \(0.606587\pi\)
\(948\) 3.13080 + 0.885265i 0.101684 + 0.0287521i
\(949\) 78.7172 2.55527
\(950\) −0.0406598 0.0704249i −0.00131918 0.00228488i
\(951\) 27.2967 + 7.71841i 0.885156 + 0.250286i
\(952\) 0.940506 + 2.04007i 0.0304820 + 0.0661191i
\(953\) 26.4454 33.1615i 0.856651 1.07421i −0.139812 0.990178i \(-0.544650\pi\)
0.996463 0.0840287i \(-0.0267788\pi\)
\(954\) −0.844830 + 1.63740i −0.0273524 + 0.0530129i
\(955\) −2.63994 35.2275i −0.0854264 1.13994i
\(956\) 25.0616 17.0867i 0.810550 0.552623i
\(957\) 0.861647 16.8253i 0.0278531 0.543886i
\(958\) −0.0761357 0.193991i −0.00245983 0.00626755i
\(959\) 11.0972 + 12.3709i 0.358347 + 0.399478i
\(960\) −10.0755 39.7851i −0.325185 1.28406i
\(961\) −26.3926 −0.851374
\(962\) 1.10891 + 1.92068i 0.0357526 + 0.0619253i
\(963\) 5.30026 29.6089i 0.170798 0.954133i
\(964\) 46.3886 + 14.3090i 1.49408 + 0.460862i
\(965\) −1.63965 21.8796i −0.0527823 0.704331i
\(966\) 0.139533 + 0.884806i 0.00448940 + 0.0284682i
\(967\) 1.87386 25.0049i 0.0602592 0.804104i −0.882433 0.470439i \(-0.844096\pi\)
0.942692 0.333665i \(-0.108285\pi\)
\(968\) 0.663948 1.69171i 0.0213401 0.0543737i
\(969\) 1.19686 2.19102i 0.0384486 0.0703855i
\(970\) −1.53137 0.472365i −0.0491694 0.0151667i
\(971\) 9.99830 6.81673i 0.320861 0.218759i −0.392169 0.919893i \(-0.628275\pi\)
0.713029 + 0.701134i \(0.247323\pi\)
\(972\) −7.87733 + 30.1163i −0.252666 + 0.965980i
\(973\) 1.73933 + 5.99501i 0.0557604 + 0.192191i
\(974\) −1.04660 + 0.971107i −0.0335354 + 0.0311163i
\(975\) 27.1899 35.7989i 0.870774 1.14648i
\(976\) 21.9278 27.4965i 0.701890 0.880143i
\(977\) −11.7620 + 51.5325i −0.376298 + 1.64867i 0.332385 + 0.943144i \(0.392147\pi\)
−0.708683 + 0.705527i \(0.750710\pi\)
\(978\) −0.116643 0.191437i −0.00372983 0.00612147i
\(979\) −4.01040 6.94621i −0.128173 0.222002i
\(980\) 41.5040 4.83430i 1.32580 0.154426i
\(981\) −35.6820 + 7.11675i −1.13924 + 0.227220i
\(982\) 0.0178523 0.238222i 0.000569688 0.00760196i
\(983\) −18.0307 16.7301i −0.575090 0.533606i 0.338115 0.941105i \(-0.390211\pi\)
−0.913206 + 0.407499i \(0.866401\pi\)
\(984\) 2.77169 + 1.79526i 0.0883584 + 0.0572308i
\(985\) −17.8117 + 5.49419i −0.567529 + 0.175060i
\(986\) 1.18827 + 0.366533i 0.0378423 + 0.0116728i
\(987\) 16.8281 + 53.2645i 0.535644 + 1.69543i
\(988\) −4.71292 + 1.45374i −0.149938 + 0.0462498i
\(989\) 28.5061 19.4351i 0.906441 0.618001i
\(990\) −0.818015 0.0840034i −0.0259982 0.00266980i
\(991\) −21.9926 14.9943i −0.698618 0.476310i 0.161193 0.986923i \(-0.448466\pi\)
−0.859810 + 0.510613i \(0.829418\pi\)
\(992\) −0.884484 1.10911i −0.0280824 0.0352142i
\(993\) 7.97355 14.5967i 0.253033 0.463212i
\(994\) 0.743434 0.774678i 0.0235803 0.0245713i
\(995\) −31.6123 + 21.5529i −1.00218 + 0.683274i
\(996\) 3.39396 16.6773i 0.107542 0.528440i
\(997\) −29.3754 + 4.42762i −0.930327 + 0.140224i −0.596685 0.802476i \(-0.703516\pi\)
−0.333642 + 0.942700i \(0.608278\pi\)
\(998\) 0.612987 + 1.06172i 0.0194038 + 0.0336083i
\(999\) −30.8393 7.16552i −0.975712 0.226707i
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 441.2.y.a.121.26 648
9.7 even 3 441.2.z.a.268.29 yes 648
49.32 even 21 441.2.z.a.130.29 yes 648
441.277 even 21 inner 441.2.y.a.277.26 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.121.26 648 1.1 even 1 trivial
441.2.y.a.277.26 yes 648 441.277 even 21 inner
441.2.z.a.130.29 yes 648 49.32 even 21
441.2.z.a.268.29 yes 648 9.7 even 3