Properties

Label 370.2.o.a.181.2
Level $370$
Weight $2$
Character 370.181
Analytic conductor $2.954$
Analytic rank $0$
Dimension $18$
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] = [370,2,Mod(71,370)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(370, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([0, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("370.71");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.o (of order \(9\), degree \(6\), 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: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{18} - 3 x^{17} + 21 x^{16} - 20 x^{15} + 180 x^{14} - 126 x^{13} + 1002 x^{12} - 270 x^{11} + 3294 x^{10} - 1172 x^{9} + 6585 x^{8} - 1464 x^{7} + 8092 x^{6} - 2088 x^{5} + \cdots + 81 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 181.2
Root \(-0.649209 - 1.12446i\) of defining polynomial
Character \(\chi\) \(=\) 370.181
Dual form 370.2.o.a.231.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.173648 - 0.984808i) q^{2} +(-0.0317483 - 0.180053i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.766044 - 0.642788i) q^{5} -0.182831 q^{6} +(1.13470 - 0.952128i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.78767 - 1.01463i) q^{9} +O(q^{10})\) \(q+(0.173648 - 0.984808i) q^{2} +(-0.0317483 - 0.180053i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.766044 - 0.642788i) q^{5} -0.182831 q^{6} +(1.13470 - 0.952128i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.78767 - 1.01463i) q^{9} +(-0.500000 - 0.866025i) q^{10} +(-0.0395795 + 0.0685537i) q^{11} +(-0.0317483 + 0.180053i) q^{12} +(-1.35337 - 0.492586i) q^{13} +(-0.740624 - 1.28280i) q^{14} +(-0.140057 - 0.117521i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-0.0477746 + 0.0173885i) q^{17} +(-0.515140 - 2.92150i) q^{18} +(-0.860951 - 4.88269i) q^{19} +(-0.939693 + 0.342020i) q^{20} +(-0.207459 - 0.174078i) q^{21} +(0.0606393 + 0.0508824i) q^{22} +(-1.14319 - 1.98006i) q^{23} +(0.171805 + 0.0625319i) q^{24} +(0.173648 - 0.984808i) q^{25} +(-0.720113 + 1.24727i) q^{26} +(-0.545437 - 0.944725i) q^{27} +(-1.39192 + 0.506617i) q^{28} +(1.47885 - 2.56144i) q^{29} +(-0.140057 + 0.117521i) q^{30} +0.605786 q^{31} +(0.766044 - 0.642788i) q^{32} +(0.0135999 + 0.00494996i) q^{33} +(0.00882838 + 0.0500682i) q^{34} +(0.257216 - 1.45874i) q^{35} -2.96657 q^{36} +(0.570717 + 6.05593i) q^{37} -4.95802 q^{38} +(-0.0457247 + 0.259318i) q^{39} +(0.173648 + 0.984808i) q^{40} +(6.43799 + 2.34324i) q^{41} +(-0.207459 + 0.174078i) q^{42} -8.69666 q^{43} +(0.0606393 - 0.0508824i) q^{44} +(1.48329 - 2.56913i) q^{45} +(-2.14849 + 0.781987i) q^{46} +(4.53355 + 7.85235i) q^{47} +(0.0914155 - 0.158336i) q^{48} +(-0.834536 + 4.73289i) q^{49} +(-0.939693 - 0.342020i) q^{50} +(0.00464762 + 0.00804991i) q^{51} +(1.10328 + 0.925760i) q^{52} +(0.793926 + 0.666183i) q^{53} +(-1.02509 + 0.373101i) q^{54} +(0.0137458 + 0.0779564i) q^{55} +(0.257216 + 1.45874i) q^{56} +(-0.851812 + 0.310034i) q^{57} +(-2.26573 - 1.90117i) q^{58} +(0.696182 + 0.584166i) q^{59} +(0.0914155 + 0.158336i) q^{60} +(9.99385 + 3.63746i) q^{61} +(0.105194 - 0.596583i) q^{62} +(2.19712 - 3.80552i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-1.35337 + 0.492586i) q^{65} +(0.00723636 - 0.0125337i) q^{66} +(-1.93394 + 1.62277i) q^{67} +0.0508406 q^{68} +(-0.320222 + 0.268698i) q^{69} +(-1.39192 - 0.506617i) q^{70} +(1.29063 + 7.31955i) q^{71} +(-0.515140 + 2.92150i) q^{72} -9.62632 q^{73} +(6.06303 + 0.489555i) q^{74} -0.182831 q^{75} +(-0.860951 + 4.88269i) q^{76} +(0.0203610 + 0.115473i) q^{77} +(0.247438 + 0.0900600i) q^{78} +(-5.04131 + 4.23016i) q^{79} +1.00000 q^{80} +(6.66480 - 5.59243i) q^{81} +(3.42558 - 5.93329i) q^{82} +(0.685722 - 0.249583i) q^{83} +(0.135409 + 0.234535i) q^{84} +(-0.0254203 + 0.0440293i) q^{85} +(-1.51016 + 8.56454i) q^{86} +(-0.508147 - 0.184950i) q^{87} +(-0.0395795 - 0.0685537i) q^{88} +(10.8711 + 9.12190i) q^{89} +(-2.27253 - 1.90688i) q^{90} +(-2.00468 + 0.729643i) q^{91} +(0.397025 + 2.25164i) q^{92} +(-0.0192327 - 0.109074i) q^{93} +(8.52029 - 3.10113i) q^{94} +(-3.79806 - 3.18695i) q^{95} +(-0.140057 - 0.117521i) q^{96} +(1.01825 + 1.76367i) q^{97} +(4.51607 + 1.64372i) q^{98} +(-0.0407780 + 0.231263i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q - 6 q^{6} - 3 q^{7} - 9 q^{8} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 18 q - 6 q^{6} - 3 q^{7} - 9 q^{8} - 12 q^{9} - 9 q^{10} + 3 q^{11} + 9 q^{13} - 6 q^{17} + 6 q^{18} + 9 q^{19} - 6 q^{21} + 21 q^{23} + 6 q^{26} + 12 q^{27} - 3 q^{28} + 6 q^{29} - 30 q^{31} - 45 q^{33} - 15 q^{34} + 6 q^{35} + 24 q^{36} + 6 q^{37} - 12 q^{38} + 24 q^{39} + 15 q^{41} - 6 q^{42} - 12 q^{43} - 12 q^{45} + 24 q^{47} + 3 q^{48} + 33 q^{49} - 42 q^{51} - 12 q^{53} + 27 q^{54} + 6 q^{56} + 51 q^{57} - 15 q^{58} - 15 q^{59} + 3 q^{60} + 72 q^{61} - 57 q^{62} - 30 q^{63} - 9 q^{64} + 9 q^{65} - 3 q^{66} + 18 q^{67} + 24 q^{69} - 3 q^{70} + 6 q^{72} - 66 q^{73} - 24 q^{74} - 6 q^{75} + 9 q^{76} - 66 q^{77} + 6 q^{78} - 12 q^{79} + 18 q^{80} + 66 q^{81} + 45 q^{82} + 9 q^{83} + 42 q^{84} + 12 q^{86} + 48 q^{87} + 3 q^{88} + 6 q^{90} - 78 q^{91} + 18 q^{92} + 24 q^{94} - 3 q^{97} - 48 q^{98} - 96 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.173648 0.984808i 0.122788 0.696364i
\(3\) −0.0317483 0.180053i −0.0183299 0.103954i 0.974270 0.225383i \(-0.0723634\pi\)
−0.992600 + 0.121429i \(0.961252\pi\)
\(4\) −0.939693 0.342020i −0.469846 0.171010i
\(5\) 0.766044 0.642788i 0.342585 0.287463i
\(6\) −0.182831 −0.0746404
\(7\) 1.13470 0.952128i 0.428877 0.359871i −0.402651 0.915354i \(-0.631911\pi\)
0.831528 + 0.555483i \(0.187467\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 2.78767 1.01463i 0.929222 0.338209i
\(10\) −0.500000 0.866025i −0.158114 0.273861i
\(11\) −0.0395795 + 0.0685537i −0.0119337 + 0.0206697i −0.871931 0.489630i \(-0.837132\pi\)
0.859997 + 0.510299i \(0.170465\pi\)
\(12\) −0.0317483 + 0.180053i −0.00916493 + 0.0519769i
\(13\) −1.35337 0.492586i −0.375357 0.136619i 0.147451 0.989069i \(-0.452893\pi\)
−0.522808 + 0.852451i \(0.675115\pi\)
\(14\) −0.740624 1.28280i −0.197940 0.342842i
\(15\) −0.140057 0.117521i −0.0361625 0.0303439i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) −0.0477746 + 0.0173885i −0.0115870 + 0.00421734i −0.347807 0.937566i \(-0.613074\pi\)
0.336220 + 0.941783i \(0.390851\pi\)
\(18\) −0.515140 2.92150i −0.121420 0.688605i
\(19\) −0.860951 4.88269i −0.197516 1.12017i −0.908790 0.417253i \(-0.862993\pi\)
0.711275 0.702914i \(-0.248118\pi\)
\(20\) −0.939693 + 0.342020i −0.210122 + 0.0764780i
\(21\) −0.207459 0.174078i −0.0452712 0.0379870i
\(22\) 0.0606393 + 0.0508824i 0.0129283 + 0.0108482i
\(23\) −1.14319 1.98006i −0.238371 0.412871i 0.721876 0.692023i \(-0.243280\pi\)
−0.960247 + 0.279151i \(0.909947\pi\)
\(24\) 0.171805 + 0.0625319i 0.0350695 + 0.0127643i
\(25\) 0.173648 0.984808i 0.0347296 0.196962i
\(26\) −0.720113 + 1.24727i −0.141226 + 0.244610i
\(27\) −0.545437 0.944725i −0.104969 0.181812i
\(28\) −1.39192 + 0.506617i −0.263048 + 0.0957416i
\(29\) 1.47885 2.56144i 0.274615 0.475648i −0.695423 0.718601i \(-0.744783\pi\)
0.970038 + 0.242953i \(0.0781162\pi\)
\(30\) −0.140057 + 0.117521i −0.0255707 + 0.0214564i
\(31\) 0.605786 0.108802 0.0544012 0.998519i \(-0.482675\pi\)
0.0544012 + 0.998519i \(0.482675\pi\)
\(32\) 0.766044 0.642788i 0.135419 0.113630i
\(33\) 0.0135999 + 0.00494996i 0.00236744 + 0.000861677i
\(34\) 0.00882838 + 0.0500682i 0.00151406 + 0.00858663i
\(35\) 0.257216 1.45874i 0.0434774 0.246573i
\(36\) −2.96657 −0.494429
\(37\) 0.570717 + 6.05593i 0.0938252 + 0.995589i
\(38\) −4.95802 −0.804297
\(39\) −0.0457247 + 0.259318i −0.00732181 + 0.0415240i
\(40\) 0.173648 + 0.984808i 0.0274562 + 0.155712i
\(41\) 6.43799 + 2.34324i 1.00545 + 0.365952i 0.791682 0.610933i \(-0.209206\pi\)
0.213763 + 0.976885i \(0.431428\pi\)
\(42\) −0.207459 + 0.174078i −0.0320116 + 0.0268609i
\(43\) −8.69666 −1.32623 −0.663114 0.748518i \(-0.730766\pi\)
−0.663114 + 0.748518i \(0.730766\pi\)
\(44\) 0.0606393 0.0508824i 0.00914172 0.00767081i
\(45\) 1.48329 2.56913i 0.221115 0.382983i
\(46\) −2.14849 + 0.781987i −0.316778 + 0.115298i
\(47\) 4.53355 + 7.85235i 0.661287 + 1.14538i 0.980278 + 0.197625i \(0.0633227\pi\)
−0.318991 + 0.947758i \(0.603344\pi\)
\(48\) 0.0914155 0.158336i 0.0131947 0.0228539i
\(49\) −0.834536 + 4.73289i −0.119219 + 0.676127i
\(50\) −0.939693 0.342020i −0.132893 0.0483690i
\(51\) 0.00464762 + 0.00804991i 0.000650797 + 0.00112721i
\(52\) 1.10328 + 0.925760i 0.152997 + 0.128380i
\(53\) 0.793926 + 0.666183i 0.109054 + 0.0915072i 0.695684 0.718348i \(-0.255101\pi\)
−0.586630 + 0.809855i \(0.699546\pi\)
\(54\) −1.02509 + 0.373101i −0.139497 + 0.0507726i
\(55\) 0.0137458 + 0.0779564i 0.00185349 + 0.0105116i
\(56\) 0.257216 + 1.45874i 0.0343719 + 0.194933i
\(57\) −0.851812 + 0.310034i −0.112825 + 0.0410650i
\(58\) −2.26573 1.90117i −0.297505 0.249636i
\(59\) 0.696182 + 0.584166i 0.0906352 + 0.0760520i 0.686979 0.726677i \(-0.258936\pi\)
−0.596344 + 0.802729i \(0.703381\pi\)
\(60\) 0.0914155 + 0.158336i 0.0118017 + 0.0204411i
\(61\) 9.99385 + 3.63746i 1.27958 + 0.465729i 0.890294 0.455387i \(-0.150499\pi\)
0.389287 + 0.921116i \(0.372721\pi\)
\(62\) 0.105194 0.596583i 0.0133596 0.0757661i
\(63\) 2.19712 3.80552i 0.276811 0.479450i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −1.35337 + 0.492586i −0.167865 + 0.0610978i
\(66\) 0.00723636 0.0125337i 0.000890734 0.00154280i
\(67\) −1.93394 + 1.62277i −0.236269 + 0.198253i −0.753233 0.657754i \(-0.771507\pi\)
0.516964 + 0.856007i \(0.327062\pi\)
\(68\) 0.0508406 0.00616533
\(69\) −0.320222 + 0.268698i −0.0385502 + 0.0323475i
\(70\) −1.39192 0.506617i −0.166366 0.0605523i
\(71\) 1.29063 + 7.31955i 0.153170 + 0.868671i 0.960440 + 0.278488i \(0.0898333\pi\)
−0.807270 + 0.590183i \(0.799056\pi\)
\(72\) −0.515140 + 2.92150i −0.0607098 + 0.344303i
\(73\) −9.62632 −1.12668 −0.563338 0.826227i \(-0.690483\pi\)
−0.563338 + 0.826227i \(0.690483\pi\)
\(74\) 6.06303 + 0.489555i 0.704813 + 0.0569096i
\(75\) −0.182831 −0.0211115
\(76\) −0.860951 + 4.88269i −0.0987578 + 0.560084i
\(77\) 0.0203610 + 0.115473i 0.00232035 + 0.0131593i
\(78\) 0.247438 + 0.0900600i 0.0280168 + 0.0101973i
\(79\) −5.04131 + 4.23016i −0.567192 + 0.475931i −0.880713 0.473651i \(-0.842936\pi\)
0.313521 + 0.949581i \(0.398491\pi\)
\(80\) 1.00000 0.111803
\(81\) 6.66480 5.59243i 0.740533 0.621381i
\(82\) 3.42558 5.93329i 0.378292 0.655222i
\(83\) 0.685722 0.249583i 0.0752678 0.0273952i −0.304112 0.952636i \(-0.598360\pi\)
0.379380 + 0.925241i \(0.376137\pi\)
\(84\) 0.135409 + 0.234535i 0.0147743 + 0.0255899i
\(85\) −0.0254203 + 0.0440293i −0.00275722 + 0.00477565i
\(86\) −1.51016 + 8.56454i −0.162845 + 0.923538i
\(87\) −0.508147 0.184950i −0.0544791 0.0198288i
\(88\) −0.0395795 0.0685537i −0.00421919 0.00730785i
\(89\) 10.8711 + 9.12190i 1.15233 + 0.966919i 0.999772 0.0213753i \(-0.00680450\pi\)
0.152558 + 0.988295i \(0.451249\pi\)
\(90\) −2.27253 1.90688i −0.239545 0.201002i
\(91\) −2.00468 + 0.729643i −0.210147 + 0.0764873i
\(92\) 0.397025 + 2.25164i 0.0413927 + 0.234750i
\(93\) −0.0192327 0.109074i −0.00199433 0.0113104i
\(94\) 8.52029 3.10113i 0.878801 0.319858i
\(95\) −3.79806 3.18695i −0.389673 0.326974i
\(96\) −0.140057 0.117521i −0.0142945 0.0119945i
\(97\) 1.01825 + 1.76367i 0.103388 + 0.179073i 0.913078 0.407784i \(-0.133698\pi\)
−0.809690 + 0.586857i \(0.800365\pi\)
\(98\) 4.51607 + 1.64372i 0.456192 + 0.166040i
\(99\) −0.0407780 + 0.231263i −0.00409834 + 0.0232428i
\(100\) −0.500000 + 0.866025i −0.0500000 + 0.0866025i
\(101\) 1.87302 + 3.24417i 0.186373 + 0.322807i 0.944038 0.329836i \(-0.106994\pi\)
−0.757666 + 0.652643i \(0.773660\pi\)
\(102\) 0.00873467 0.00317916i 0.000864861 0.000314784i
\(103\) 0.596143 1.03255i 0.0587397 0.101740i −0.835160 0.550007i \(-0.814625\pi\)
0.893900 + 0.448267i \(0.147958\pi\)
\(104\) 1.10328 0.925760i 0.108185 0.0907782i
\(105\) −0.270818 −0.0264291
\(106\) 0.793926 0.666183i 0.0771129 0.0647054i
\(107\) −4.46727 1.62595i −0.431867 0.157187i 0.116934 0.993140i \(-0.462693\pi\)
−0.548801 + 0.835953i \(0.684916\pi\)
\(108\) 0.189428 + 1.07430i 0.0182277 + 0.103375i
\(109\) 0.864938 4.90531i 0.0828460 0.469843i −0.914955 0.403557i \(-0.867774\pi\)
0.997801 0.0662864i \(-0.0211151\pi\)
\(110\) 0.0791590 0.00754751
\(111\) 1.07227 0.295025i 0.101775 0.0280025i
\(112\) 1.48125 0.139965
\(113\) 0.420112 2.38257i 0.0395208 0.224134i −0.958650 0.284587i \(-0.908144\pi\)
0.998171 + 0.0604533i \(0.0192546\pi\)
\(114\) 0.157408 + 0.892708i 0.0147427 + 0.0836097i
\(115\) −2.14849 0.781987i −0.200348 0.0729207i
\(116\) −2.26573 + 1.90117i −0.210368 + 0.176519i
\(117\) −4.27254 −0.394996
\(118\) 0.696182 0.584166i 0.0640888 0.0537769i
\(119\) −0.0376538 + 0.0652183i −0.00345172 + 0.00597855i
\(120\) 0.171805 0.0625319i 0.0156836 0.00570835i
\(121\) 5.49687 + 9.52085i 0.499715 + 0.865532i
\(122\) 5.31761 9.21038i 0.481434 0.833869i
\(123\) 0.217513 1.23358i 0.0196125 0.111228i
\(124\) −0.569253 0.207191i −0.0511204 0.0186063i
\(125\) −0.500000 0.866025i −0.0447214 0.0774597i
\(126\) −3.36618 2.82456i −0.299883 0.251632i
\(127\) −3.51319 2.94792i −0.311745 0.261585i 0.473468 0.880811i \(-0.343002\pi\)
−0.785213 + 0.619226i \(0.787447\pi\)
\(128\) −0.939693 + 0.342020i −0.0830579 + 0.0302306i
\(129\) 0.276104 + 1.56586i 0.0243096 + 0.137867i
\(130\) 0.250093 + 1.41835i 0.0219346 + 0.124397i
\(131\) 10.8627 3.95370i 0.949077 0.345436i 0.179333 0.983788i \(-0.442606\pi\)
0.769744 + 0.638352i \(0.220384\pi\)
\(132\) −0.0110867 0.00930288i −0.000964977 0.000809712i
\(133\) −5.62587 4.72067i −0.487825 0.409334i
\(134\) 1.26229 + 2.18635i 0.109045 + 0.188872i
\(135\) −1.02509 0.373101i −0.0882254 0.0321114i
\(136\) 0.00882838 0.0500682i 0.000757028 0.00429332i
\(137\) −3.61881 + 6.26796i −0.309175 + 0.535508i −0.978182 0.207749i \(-0.933386\pi\)
0.669007 + 0.743256i \(0.266720\pi\)
\(138\) 0.209010 + 0.362016i 0.0177921 + 0.0308169i
\(139\) −21.0317 + 7.65492i −1.78389 + 0.649282i −0.784304 + 0.620376i \(0.786980\pi\)
−0.999582 + 0.0289054i \(0.990798\pi\)
\(140\) −0.740624 + 1.28280i −0.0625942 + 0.108416i
\(141\) 1.26991 1.06558i 0.106946 0.0897380i
\(142\) 7.43247 0.623719
\(143\) 0.0873343 0.0732822i 0.00730326 0.00612816i
\(144\) 2.78767 + 1.01463i 0.232306 + 0.0845523i
\(145\) −0.513599 2.91276i −0.0426521 0.241892i
\(146\) −1.67159 + 9.48007i −0.138342 + 0.784576i
\(147\) 0.878668 0.0724713
\(148\) 1.53495 5.88591i 0.126172 0.483819i
\(149\) 8.58217 0.703079 0.351539 0.936173i \(-0.385658\pi\)
0.351539 + 0.936173i \(0.385658\pi\)
\(150\) −0.0317483 + 0.180053i −0.00259223 + 0.0147013i
\(151\) −1.00297 5.68815i −0.0816209 0.462895i −0.998035 0.0626630i \(-0.980041\pi\)
0.916414 0.400232i \(-0.131070\pi\)
\(152\) 4.65901 + 1.69574i 0.377896 + 0.137543i
\(153\) −0.115537 + 0.0969468i −0.00934059 + 0.00783768i
\(154\) 0.117254 0.00944861
\(155\) 0.464059 0.389392i 0.0372741 0.0312767i
\(156\) 0.131659 0.228040i 0.0105412 0.0182578i
\(157\) −4.57399 + 1.66480i −0.365044 + 0.132865i −0.518028 0.855363i \(-0.673334\pi\)
0.152984 + 0.988229i \(0.451112\pi\)
\(158\) 3.29048 + 5.69929i 0.261777 + 0.453411i
\(159\) 0.0947427 0.164099i 0.00751358 0.0130139i
\(160\) 0.173648 0.984808i 0.0137281 0.0778559i
\(161\) −3.18245 1.15832i −0.250812 0.0912882i
\(162\) −4.35014 7.53466i −0.341779 0.591979i
\(163\) −15.8303 13.2832i −1.23992 1.04042i −0.997530 0.0702419i \(-0.977623\pi\)
−0.242394 0.970178i \(-0.577933\pi\)
\(164\) −5.24830 4.40385i −0.409823 0.343883i
\(165\) 0.0135999 0.00494996i 0.00105875 0.000385354i
\(166\) −0.126716 0.718644i −0.00983510 0.0557776i
\(167\) 0.909989 + 5.16080i 0.0704170 + 0.399355i 0.999561 + 0.0296361i \(0.00943484\pi\)
−0.929144 + 0.369719i \(0.879454\pi\)
\(168\) 0.254486 0.0926252i 0.0196340 0.00714619i
\(169\) −8.36961 7.02294i −0.643816 0.540226i
\(170\) 0.0389462 + 0.0326797i 0.00298704 + 0.00250642i
\(171\) −7.35416 12.7378i −0.562387 0.974082i
\(172\) 8.17219 + 2.97443i 0.623124 + 0.226798i
\(173\) −1.89571 + 10.7511i −0.144129 + 0.817394i 0.823934 + 0.566685i \(0.191775\pi\)
−0.968063 + 0.250708i \(0.919337\pi\)
\(174\) −0.270379 + 0.468311i −0.0204974 + 0.0355025i
\(175\) −0.740624 1.28280i −0.0559859 0.0969705i
\(176\) −0.0743851 + 0.0270740i −0.00560699 + 0.00204078i
\(177\) 0.0830785 0.143896i 0.00624456 0.0108159i
\(178\) 10.8711 9.12190i 0.814820 0.683715i
\(179\) −11.9139 −0.890488 −0.445244 0.895409i \(-0.646883\pi\)
−0.445244 + 0.895409i \(0.646883\pi\)
\(180\) −2.27253 + 1.90688i −0.169384 + 0.142130i
\(181\) −7.47741 2.72155i −0.555791 0.202291i 0.0488264 0.998807i \(-0.484452\pi\)
−0.604618 + 0.796516i \(0.706674\pi\)
\(182\) 0.370449 + 2.10092i 0.0274595 + 0.155731i
\(183\) 0.337650 1.91491i 0.0249598 0.141554i
\(184\) 2.28638 0.168554
\(185\) 4.32987 + 4.27226i 0.318338 + 0.314103i
\(186\) −0.110756 −0.00812106
\(187\) 0.000698846 0.00396335i 5.11047e−5 0.000289829i
\(188\) −1.57449 8.92936i −0.114831 0.651240i
\(189\) −1.51841 0.552655i −0.110448 0.0401997i
\(190\) −3.79806 + 3.18695i −0.275540 + 0.231206i
\(191\) 4.08490 0.295573 0.147786 0.989019i \(-0.452785\pi\)
0.147786 + 0.989019i \(0.452785\pi\)
\(192\) −0.140057 + 0.117521i −0.0101077 + 0.00848138i
\(193\) 3.30212 5.71945i 0.237692 0.411695i −0.722360 0.691518i \(-0.756942\pi\)
0.960052 + 0.279823i \(0.0902757\pi\)
\(194\) 1.91369 0.696526i 0.137395 0.0500077i
\(195\) 0.131659 + 0.228040i 0.00942829 + 0.0163303i
\(196\) 2.40295 4.16203i 0.171639 0.297288i
\(197\) 1.45152 8.23197i 0.103416 0.586504i −0.888425 0.459023i \(-0.848200\pi\)
0.991841 0.127481i \(-0.0406892\pi\)
\(198\) 0.220669 + 0.0803169i 0.0156823 + 0.00570787i
\(199\) −4.69794 8.13707i −0.333028 0.576822i 0.650076 0.759869i \(-0.274737\pi\)
−0.983104 + 0.183048i \(0.941404\pi\)
\(200\) 0.766044 + 0.642788i 0.0541675 + 0.0454519i
\(201\) 0.353585 + 0.296693i 0.0249400 + 0.0209271i
\(202\) 3.52013 1.28122i 0.247675 0.0901465i
\(203\) −0.760767 4.31453i −0.0533954 0.302820i
\(204\) −0.00161410 0.00915402i −0.000113010 0.000640910i
\(205\) 6.43799 2.34324i 0.449649 0.163659i
\(206\) −0.913345 0.766387i −0.0636357 0.0533967i
\(207\) −5.19585 4.35984i −0.361137 0.303030i
\(208\) −0.720113 1.24727i −0.0499309 0.0864828i
\(209\) 0.368803 + 0.134233i 0.0255106 + 0.00928511i
\(210\) −0.0470271 + 0.266704i −0.00324518 + 0.0184043i
\(211\) 8.46801 14.6670i 0.582962 1.00972i −0.412164 0.911110i \(-0.635227\pi\)
0.995126 0.0986103i \(-0.0314397\pi\)
\(212\) −0.518198 0.897545i −0.0355900 0.0616437i
\(213\) 1.27693 0.464766i 0.0874941 0.0318452i
\(214\) −2.37698 + 4.11706i −0.162487 + 0.281436i
\(215\) −6.66203 + 5.59011i −0.454347 + 0.381242i
\(216\) 1.09087 0.0742246
\(217\) 0.687387 0.576786i 0.0466629 0.0391548i
\(218\) −4.68059 1.70359i −0.317009 0.115382i
\(219\) 0.305619 + 1.73325i 0.0206518 + 0.117122i
\(220\) 0.0137458 0.0779564i 0.000926743 0.00525582i
\(221\) 0.0732220 0.00492545
\(222\) −0.104345 1.10721i −0.00700315 0.0743112i
\(223\) −3.44650 −0.230795 −0.115397 0.993319i \(-0.536814\pi\)
−0.115397 + 0.993319i \(0.536814\pi\)
\(224\) 0.257216 1.45874i 0.0171860 0.0974665i
\(225\) −0.515140 2.92150i −0.0343427 0.194767i
\(226\) −2.27343 0.827459i −0.151226 0.0550418i
\(227\) −8.31617 + 6.97810i −0.551964 + 0.463152i −0.875605 0.483027i \(-0.839537\pi\)
0.323642 + 0.946180i \(0.395093\pi\)
\(228\) 0.906479 0.0600331
\(229\) 8.89243 7.46164i 0.587629 0.493079i −0.299814 0.953998i \(-0.596925\pi\)
0.887442 + 0.460919i \(0.152480\pi\)
\(230\) −1.14319 + 1.98006i −0.0753796 + 0.130561i
\(231\) 0.0201448 0.00733212i 0.00132543 0.000482418i
\(232\) 1.47885 + 2.56144i 0.0970912 + 0.168167i
\(233\) 7.41361 12.8408i 0.485682 0.841226i −0.514183 0.857681i \(-0.671905\pi\)
0.999865 + 0.0164548i \(0.00523795\pi\)
\(234\) −0.741918 + 4.20763i −0.0485007 + 0.275061i
\(235\) 8.52029 + 3.10113i 0.555803 + 0.202296i
\(236\) −0.454401 0.787045i −0.0295790 0.0512323i
\(237\) 0.921708 + 0.773405i 0.0598714 + 0.0502381i
\(238\) 0.0576890 + 0.0484068i 0.00373942 + 0.00313775i
\(239\) −16.7205 + 6.08575i −1.08156 + 0.393654i −0.820487 0.571666i \(-0.806297\pi\)
−0.261070 + 0.965320i \(0.584075\pi\)
\(240\) −0.0317483 0.180053i −0.00204934 0.0116224i
\(241\) −1.51481 8.59093i −0.0975777 0.553390i −0.993927 0.110042i \(-0.964901\pi\)
0.896349 0.443349i \(-0.146210\pi\)
\(242\) 10.3307 3.76008i 0.664085 0.241707i
\(243\) −3.72551 3.12607i −0.238991 0.200537i
\(244\) −8.14706 6.83619i −0.521562 0.437642i
\(245\) 2.40295 + 4.16203i 0.153519 + 0.265903i
\(246\) −1.17706 0.428416i −0.0750469 0.0273148i
\(247\) −1.23996 + 7.03219i −0.0788970 + 0.447447i
\(248\) −0.302893 + 0.524626i −0.0192337 + 0.0333138i
\(249\) −0.0667087 0.115543i −0.00422749 0.00732223i
\(250\) −0.939693 + 0.342020i −0.0594314 + 0.0216313i
\(251\) −5.21424 + 9.03132i −0.329120 + 0.570052i −0.982337 0.187118i \(-0.940085\pi\)
0.653218 + 0.757170i \(0.273419\pi\)
\(252\) −3.36618 + 2.82456i −0.212049 + 0.177930i
\(253\) 0.180987 0.0113786
\(254\) −3.51319 + 2.94792i −0.220437 + 0.184969i
\(255\) 0.00873467 + 0.00317916i 0.000546986 + 0.000199087i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) 0.621010 3.52192i 0.0387376 0.219692i −0.959294 0.282410i \(-0.908866\pi\)
0.998031 + 0.0627188i \(0.0199771\pi\)
\(258\) 1.59002 0.0989903
\(259\) 6.41361 + 6.32828i 0.398523 + 0.393220i
\(260\) 1.44023 0.0893190
\(261\) 1.52363 8.64093i 0.0943102 0.534860i
\(262\) −2.00734 11.3842i −0.124014 0.703319i
\(263\) 28.9643 + 10.5421i 1.78602 + 0.650056i 0.999471 + 0.0325228i \(0.0103542\pi\)
0.786544 + 0.617534i \(0.211868\pi\)
\(264\) −0.0110867 + 0.00930288i −0.000682342 + 0.000572553i
\(265\) 1.03640 0.0636653
\(266\) −5.62587 + 4.72067i −0.344944 + 0.289443i
\(267\) 1.29729 2.24697i 0.0793929 0.137513i
\(268\) 2.37233 0.863459i 0.144913 0.0527442i
\(269\) 12.7899 + 22.1528i 0.779814 + 1.35068i 0.932049 + 0.362333i \(0.118020\pi\)
−0.152235 + 0.988344i \(0.548647\pi\)
\(270\) −0.545437 + 0.944725i −0.0331942 + 0.0574941i
\(271\) 3.75780 21.3115i 0.228270 1.29458i −0.628065 0.778161i \(-0.716153\pi\)
0.856335 0.516421i \(-0.172736\pi\)
\(272\) −0.0477746 0.0173885i −0.00289676 0.00105433i
\(273\) 0.195020 + 0.337784i 0.0118031 + 0.0204436i
\(274\) 5.54433 + 4.65225i 0.334945 + 0.281053i
\(275\) 0.0606393 + 0.0508824i 0.00365669 + 0.00306832i
\(276\) 0.392811 0.142971i 0.0236444 0.00860587i
\(277\) 0.934001 + 5.29698i 0.0561187 + 0.318265i 0.999925 0.0122338i \(-0.00389423\pi\)
−0.943806 + 0.330499i \(0.892783\pi\)
\(278\) 3.88650 + 22.0415i 0.233097 + 1.32196i
\(279\) 1.68873 0.614647i 0.101102 0.0367980i
\(280\) 1.13470 + 0.952128i 0.0678114 + 0.0569005i
\(281\) 0.514978 + 0.432118i 0.0307210 + 0.0257780i 0.658019 0.753001i \(-0.271395\pi\)
−0.627298 + 0.778779i \(0.715839\pi\)
\(282\) −0.828874 1.43565i −0.0493587 0.0854918i
\(283\) 21.7622 + 7.92079i 1.29363 + 0.470842i 0.894916 0.446234i \(-0.147235\pi\)
0.398712 + 0.917076i \(0.369457\pi\)
\(284\) 1.29063 7.31955i 0.0765851 0.434335i
\(285\) −0.453240 + 0.785034i −0.0268476 + 0.0465014i
\(286\) −0.0570034 0.0987328i −0.00337068 0.00583819i
\(287\) 9.53626 3.47092i 0.562908 0.204882i
\(288\) 1.48329 2.56913i 0.0874035 0.151387i
\(289\) −13.0208 + 10.9257i −0.765928 + 0.642690i
\(290\) −2.95770 −0.173682
\(291\) 0.285226 0.239333i 0.0167203 0.0140300i
\(292\) 9.04578 + 3.29239i 0.529364 + 0.192673i
\(293\) 1.38697 + 7.86588i 0.0810275 + 0.459530i 0.998143 + 0.0609088i \(0.0193999\pi\)
−0.917116 + 0.398621i \(0.869489\pi\)
\(294\) 0.152579 0.865319i 0.00889859 0.0504664i
\(295\) 0.908801 0.0529125
\(296\) −5.52995 2.53371i −0.321422 0.147269i
\(297\) 0.0863525 0.00501068
\(298\) 1.49028 8.45179i 0.0863295 0.489599i
\(299\) 0.571806 + 3.24287i 0.0330684 + 0.187540i
\(300\) 0.171805 + 0.0625319i 0.00991916 + 0.00361028i
\(301\) −9.86812 + 8.28034i −0.568789 + 0.477271i
\(302\) −5.77590 −0.332366
\(303\) 0.524658 0.440240i 0.0301408 0.0252911i
\(304\) 2.47901 4.29377i 0.142181 0.246265i
\(305\) 9.99385 3.63746i 0.572246 0.208281i
\(306\) 0.0754112 + 0.130616i 0.00431097 + 0.00746682i
\(307\) −1.59959 + 2.77058i −0.0912936 + 0.158125i −0.908056 0.418849i \(-0.862433\pi\)
0.816762 + 0.576975i \(0.195767\pi\)
\(308\) 0.0203610 0.115473i 0.00116017 0.00657967i
\(309\) −0.204841 0.0745559i −0.0116530 0.00424134i
\(310\) −0.302893 0.524626i −0.0172032 0.0297968i
\(311\) 6.27417 + 5.26466i 0.355776 + 0.298531i 0.803104 0.595838i \(-0.203180\pi\)
−0.447329 + 0.894370i \(0.647625\pi\)
\(312\) −0.201713 0.169258i −0.0114198 0.00958232i
\(313\) −29.3261 + 10.6738i −1.65761 + 0.603320i −0.989984 0.141180i \(-0.954910\pi\)
−0.667623 + 0.744500i \(0.732688\pi\)
\(314\) 0.845239 + 4.79359i 0.0476996 + 0.270518i
\(315\) −0.763050 4.32747i −0.0429930 0.243825i
\(316\) 6.18409 2.25082i 0.347882 0.126619i
\(317\) −15.7111 13.1831i −0.882421 0.740439i 0.0842542 0.996444i \(-0.473149\pi\)
−0.966675 + 0.256005i \(0.917594\pi\)
\(318\) −0.145154 0.121799i −0.00813984 0.00683014i
\(319\) 0.117064 + 0.202761i 0.00655434 + 0.0113524i
\(320\) −0.939693 0.342020i −0.0525304 0.0191195i
\(321\) −0.150930 + 0.855967i −0.00842410 + 0.0477754i
\(322\) −1.69335 + 2.93296i −0.0943665 + 0.163448i
\(323\) 0.126034 + 0.218298i 0.00701274 + 0.0121464i
\(324\) −8.17558 + 2.97567i −0.454199 + 0.165315i
\(325\) −0.720113 + 1.24727i −0.0399447 + 0.0691862i
\(326\) −15.8303 + 13.2832i −0.876759 + 0.735688i
\(327\) −0.910677 −0.0503606
\(328\) −5.24830 + 4.40385i −0.289789 + 0.243162i
\(329\) 12.6207 + 4.59355i 0.695800 + 0.253251i
\(330\) −0.00251316 0.0142528i −0.000138345 0.000784593i
\(331\) −0.586593 + 3.32673i −0.0322421 + 0.182854i −0.996676 0.0814714i \(-0.974038\pi\)
0.964434 + 0.264325i \(0.0851492\pi\)
\(332\) −0.729730 −0.0400492
\(333\) 7.73548 + 16.3028i 0.423902 + 0.893391i
\(334\) 5.24042 0.286743
\(335\) −0.438390 + 2.48623i −0.0239518 + 0.135837i
\(336\) −0.0470271 0.266704i −0.00256554 0.0145499i
\(337\) 21.8612 + 7.95681i 1.19085 + 0.433435i 0.860023 0.510255i \(-0.170449\pi\)
0.330830 + 0.943690i \(0.392671\pi\)
\(338\) −8.36961 + 7.02294i −0.455247 + 0.381997i
\(339\) −0.442328 −0.0240240
\(340\) 0.0389462 0.0326797i 0.00211215 0.00177231i
\(341\) −0.0239767 + 0.0415289i −0.00129841 + 0.00224891i
\(342\) −13.8213 + 5.03054i −0.747370 + 0.272021i
\(343\) 8.74374 + 15.1446i 0.472117 + 0.817731i
\(344\) 4.34833 7.53153i 0.234446 0.406073i
\(345\) −0.0725885 + 0.411670i −0.00390803 + 0.0221636i
\(346\) 10.2586 + 3.73383i 0.551506 + 0.200732i
\(347\) −17.6936 30.6462i −0.949843 1.64518i −0.745752 0.666224i \(-0.767910\pi\)
−0.204091 0.978952i \(-0.565424\pi\)
\(348\) 0.414245 + 0.347593i 0.0222059 + 0.0186329i
\(349\) −8.00283 6.71517i −0.428382 0.359455i 0.402959 0.915218i \(-0.367982\pi\)
−0.831341 + 0.555763i \(0.812426\pi\)
\(350\) −1.39192 + 0.506617i −0.0744011 + 0.0270798i
\(351\) 0.272820 + 1.54724i 0.0145620 + 0.0825854i
\(352\) 0.0137458 + 0.0779564i 0.000732654 + 0.00415509i
\(353\) 18.4108 6.70098i 0.979907 0.356657i 0.198103 0.980181i \(-0.436522\pi\)
0.781804 + 0.623524i \(0.214300\pi\)
\(354\) −0.127284 0.106804i −0.00676505 0.00567655i
\(355\) 5.69360 + 4.77750i 0.302185 + 0.253563i
\(356\) −7.09558 12.2899i −0.376065 0.651363i
\(357\) 0.0129382 + 0.00470912i 0.000684763 + 0.000249233i
\(358\) −2.06883 + 11.7329i −0.109341 + 0.620104i
\(359\) −1.93890 + 3.35828i −0.102331 + 0.177243i −0.912645 0.408754i \(-0.865964\pi\)
0.810313 + 0.585997i \(0.199297\pi\)
\(360\) 1.48329 + 2.56913i 0.0781761 + 0.135405i
\(361\) −5.24531 + 1.90914i −0.276069 + 0.100481i
\(362\) −3.97865 + 6.89122i −0.209113 + 0.362194i
\(363\) 1.53975 1.29200i 0.0808157 0.0678124i
\(364\) 2.13333 0.111817
\(365\) −7.37419 + 6.18768i −0.385983 + 0.323878i
\(366\) −1.82718 0.665041i −0.0955085 0.0347622i
\(367\) 1.23941 + 7.02903i 0.0646966 + 0.366913i 0.999917 + 0.0128477i \(0.00408967\pi\)
−0.935221 + 0.354065i \(0.884799\pi\)
\(368\) 0.397025 2.25164i 0.0206964 0.117375i
\(369\) 20.3245 1.05805
\(370\) 4.95923 3.52222i 0.257818 0.183111i
\(371\) 1.53516 0.0797015
\(372\) −0.0192327 + 0.109074i −0.000997167 + 0.00565521i
\(373\) 3.76956 + 21.3782i 0.195180 + 1.10692i 0.912162 + 0.409830i \(0.134412\pi\)
−0.716982 + 0.697092i \(0.754477\pi\)
\(374\) −0.00378179 0.00137646i −0.000195551 7.11749e-5i
\(375\) −0.140057 + 0.117521i −0.00723249 + 0.00606878i
\(376\) −9.06711 −0.467600
\(377\) −3.26316 + 2.73812i −0.168061 + 0.141020i
\(378\) −0.807928 + 1.39937i −0.0415553 + 0.0719759i
\(379\) −5.22984 + 1.90351i −0.268639 + 0.0977766i −0.472828 0.881155i \(-0.656767\pi\)
0.204189 + 0.978932i \(0.434544\pi\)
\(380\) 2.47901 + 4.29377i 0.127170 + 0.220266i
\(381\) −0.419245 + 0.726153i −0.0214786 + 0.0372019i
\(382\) 0.709335 4.02284i 0.0362927 0.205826i
\(383\) 29.8125 + 10.8509i 1.52335 + 0.554453i 0.961981 0.273115i \(-0.0880541\pi\)
0.561365 + 0.827568i \(0.310276\pi\)
\(384\) 0.0914155 + 0.158336i 0.00466503 + 0.00808006i
\(385\) 0.0898219 + 0.0753695i 0.00457775 + 0.00384118i
\(386\) −5.05915 4.24513i −0.257504 0.216071i
\(387\) −24.2434 + 8.82387i −1.23236 + 0.448543i
\(388\) −0.353636 2.00557i −0.0179531 0.101817i
\(389\) −2.12485 12.0506i −0.107734 0.610992i −0.990093 0.140414i \(-0.955157\pi\)
0.882358 0.470578i \(-0.155955\pi\)
\(390\) 0.247438 0.0900600i 0.0125295 0.00456037i
\(391\) 0.0890457 + 0.0747182i 0.00450323 + 0.00377866i
\(392\) −3.68154 3.08918i −0.185946 0.156027i
\(393\) −1.05675 1.83034i −0.0533059 0.0923285i
\(394\) −7.85486 2.85893i −0.395722 0.144031i
\(395\) −1.14277 + 6.48099i −0.0574992 + 0.326094i
\(396\) 0.117415 0.203370i 0.00590035 0.0102197i
\(397\) 13.8093 + 23.9184i 0.693069 + 1.20043i 0.970827 + 0.239779i \(0.0770751\pi\)
−0.277759 + 0.960651i \(0.589592\pi\)
\(398\) −8.82924 + 3.21358i −0.442570 + 0.161082i
\(399\) −0.671360 + 1.16283i −0.0336101 + 0.0582143i
\(400\) 0.766044 0.642788i 0.0383022 0.0321394i
\(401\) −29.6991 −1.48310 −0.741551 0.670896i \(-0.765910\pi\)
−0.741551 + 0.670896i \(0.765910\pi\)
\(402\) 0.353585 0.296693i 0.0176352 0.0147977i
\(403\) −0.819853 0.298402i −0.0408398 0.0148645i
\(404\) −0.650493 3.68913i −0.0323633 0.183541i
\(405\) 1.51079 8.56810i 0.0750716 0.425752i
\(406\) −4.38108 −0.217430
\(407\) −0.437745 0.200566i −0.0216982 0.00994168i
\(408\) −0.00929524 −0.000460183
\(409\) 5.32634 30.2072i 0.263371 1.49365i −0.510264 0.860018i \(-0.670452\pi\)
0.773635 0.633632i \(-0.218437\pi\)
\(410\) −1.18969 6.74708i −0.0587547 0.333215i
\(411\) 1.24346 + 0.452581i 0.0613352 + 0.0223242i
\(412\) −0.913345 + 0.766387i −0.0449973 + 0.0377572i
\(413\) 1.34616 0.0662402
\(414\) −5.19585 + 4.35984i −0.255362 + 0.214274i
\(415\) 0.364865 0.631965i 0.0179105 0.0310219i
\(416\) −1.35337 + 0.492586i −0.0663544 + 0.0241510i
\(417\) 2.04601 + 3.54380i 0.100194 + 0.173541i
\(418\) 0.196236 0.339890i 0.00959821 0.0166246i
\(419\) 2.68134 15.2066i 0.130992 0.742892i −0.846575 0.532269i \(-0.821340\pi\)
0.977567 0.210623i \(-0.0675494\pi\)
\(420\) 0.254486 + 0.0926252i 0.0124176 + 0.00451965i
\(421\) −15.2534 26.4197i −0.743407 1.28762i −0.950935 0.309390i \(-0.899875\pi\)
0.207528 0.978229i \(-0.433458\pi\)
\(422\) −12.9737 10.8863i −0.631552 0.529935i
\(423\) 20.6052 + 17.2899i 1.00186 + 0.840661i
\(424\) −0.973894 + 0.354468i −0.0472965 + 0.0172145i
\(425\) 0.00882838 + 0.0500682i 0.000428239 + 0.00242867i
\(426\) −0.235968 1.33824i −0.0114327 0.0648380i
\(427\) 14.8034 5.38799i 0.716385 0.260743i
\(428\) 3.64175 + 3.05579i 0.176031 + 0.147707i
\(429\) −0.0159674 0.0133983i −0.000770914 0.000646874i
\(430\) 4.34833 + 7.53153i 0.209695 + 0.363203i
\(431\) 32.8058 + 11.9403i 1.58020 + 0.575145i 0.975247 0.221118i \(-0.0709705\pi\)
0.604951 + 0.796263i \(0.293193\pi\)
\(432\) 0.189428 1.07430i 0.00911387 0.0516873i
\(433\) −7.99109 + 13.8410i −0.384028 + 0.665155i −0.991634 0.129083i \(-0.958797\pi\)
0.607606 + 0.794238i \(0.292130\pi\)
\(434\) −0.448660 0.777102i −0.0215364 0.0373021i
\(435\) −0.508147 + 0.184950i −0.0243638 + 0.00886769i
\(436\) −2.49049 + 4.31365i −0.119273 + 0.206587i
\(437\) −8.68380 + 7.28658i −0.415403 + 0.348564i
\(438\) 1.75999 0.0840955
\(439\) −13.3967 + 11.2411i −0.639388 + 0.536510i −0.903830 0.427891i \(-0.859257\pi\)
0.264442 + 0.964402i \(0.414812\pi\)
\(440\) −0.0743851 0.0270740i −0.00354617 0.00129070i
\(441\) 2.47571 + 14.0405i 0.117891 + 0.668594i
\(442\) 0.0127149 0.0721096i 0.000604785 0.00342990i
\(443\) −18.9363 −0.899691 −0.449845 0.893106i \(-0.648521\pi\)
−0.449845 + 0.893106i \(0.648521\pi\)
\(444\) −1.10851 0.0895058i −0.0526075 0.00424776i
\(445\) 14.1912 0.672725
\(446\) −0.598479 + 3.39414i −0.0283388 + 0.160717i
\(447\) −0.272469 1.54525i −0.0128873 0.0730877i
\(448\) −1.39192 0.506617i −0.0657619 0.0239354i
\(449\) 14.6958 12.3313i 0.693539 0.581948i −0.226388 0.974037i \(-0.572692\pi\)
0.919927 + 0.392089i \(0.128247\pi\)
\(450\) −2.96657 −0.139846
\(451\) −0.415450 + 0.348604i −0.0195628 + 0.0164151i
\(452\) −1.20966 + 2.09520i −0.0568978 + 0.0985500i
\(453\) −0.992327 + 0.361178i −0.0466236 + 0.0169696i
\(454\) 5.42799 + 9.40156i 0.254748 + 0.441237i
\(455\) −1.06667 + 1.84752i −0.0500061 + 0.0866131i
\(456\) 0.157408 0.892708i 0.00737133 0.0418049i
\(457\) −15.0182 5.46619i −0.702524 0.255698i −0.0340357 0.999421i \(-0.510836\pi\)
−0.668488 + 0.743723i \(0.733058\pi\)
\(458\) −5.80412 10.0530i −0.271209 0.469748i
\(459\) 0.0424854 + 0.0356495i 0.00198305 + 0.00166397i
\(460\) 1.75147 + 1.46966i 0.0816626 + 0.0685230i
\(461\) −14.1384 + 5.14595i −0.658490 + 0.239671i −0.649584 0.760290i \(-0.725057\pi\)
−0.00890575 + 0.999960i \(0.502835\pi\)
\(462\) −0.00372261 0.0211120i −0.000173192 0.000982219i
\(463\) 2.74554 + 15.5707i 0.127596 + 0.723633i 0.979732 + 0.200312i \(0.0641957\pi\)
−0.852136 + 0.523320i \(0.824693\pi\)
\(464\) 2.77933 1.01159i 0.129027 0.0469620i
\(465\) −0.0848444 0.0711929i −0.00393456 0.00330149i
\(466\) −11.3583 9.53076i −0.526164 0.441504i
\(467\) −13.1903 22.8463i −0.610376 1.05720i −0.991177 0.132545i \(-0.957685\pi\)
0.380801 0.924657i \(-0.375648\pi\)
\(468\) 4.01487 + 1.46129i 0.185587 + 0.0675483i
\(469\) −0.649364 + 3.68273i −0.0299848 + 0.170052i
\(470\) 4.53355 7.85235i 0.209117 0.362202i
\(471\) 0.444968 + 0.770708i 0.0205031 + 0.0355123i
\(472\) −0.853994 + 0.310828i −0.0393083 + 0.0143070i
\(473\) 0.344209 0.596188i 0.0158268 0.0274128i
\(474\) 0.921708 0.773405i 0.0423355 0.0355237i
\(475\) −4.95802 −0.227489
\(476\) 0.0576890 0.0484068i 0.00264417 0.00221872i
\(477\) 2.88913 + 1.05156i 0.132284 + 0.0481475i
\(478\) 3.08981 + 17.5232i 0.141325 + 0.801493i
\(479\) 0.194564 1.10343i 0.00888985 0.0504169i −0.980040 0.198800i \(-0.936296\pi\)
0.988930 + 0.148383i \(0.0474068\pi\)
\(480\) −0.182831 −0.00834505
\(481\) 2.21068 8.47704i 0.100798 0.386520i
\(482\) −8.72346 −0.397343
\(483\) −0.107522 + 0.609785i −0.00489240 + 0.0277462i
\(484\) −1.90904 10.8267i −0.0867746 0.492123i
\(485\) 1.91369 + 0.696526i 0.0868962 + 0.0316276i
\(486\) −3.72551 + 3.12607i −0.168992 + 0.141801i
\(487\) 23.9282 1.08429 0.542145 0.840285i \(-0.317612\pi\)
0.542145 + 0.840285i \(0.317612\pi\)
\(488\) −8.14706 + 6.83619i −0.368800 + 0.309460i
\(489\) −1.88910 + 3.27201i −0.0854280 + 0.147966i
\(490\) 4.51607 1.64372i 0.204015 0.0742555i
\(491\) −7.76280 13.4456i −0.350330 0.606790i 0.635977 0.771708i \(-0.280597\pi\)
−0.986307 + 0.164918i \(0.947264\pi\)
\(492\) −0.626303 + 1.08479i −0.0282359 + 0.0489060i
\(493\) −0.0261117 + 0.148087i −0.00117601 + 0.00666949i
\(494\) 6.71003 + 2.44225i 0.301899 + 0.109882i
\(495\) 0.117415 + 0.203370i 0.00527743 + 0.00914078i
\(496\) 0.464059 + 0.389392i 0.0208369 + 0.0174842i
\(497\) 8.43364 + 7.07666i 0.378300 + 0.317432i
\(498\) −0.125371 + 0.0456314i −0.00561802 + 0.00204479i
\(499\) −2.46864 14.0003i −0.110511 0.626741i −0.988875 0.148748i \(-0.952476\pi\)
0.878364 0.477993i \(-0.158635\pi\)
\(500\) 0.173648 + 0.984808i 0.00776578 + 0.0440419i
\(501\) 0.900329 0.327693i 0.0402237 0.0146402i
\(502\) 7.98868 + 6.70329i 0.356552 + 0.299183i
\(503\) −5.96122 5.00206i −0.265798 0.223031i 0.500142 0.865944i \(-0.333281\pi\)
−0.765939 + 0.642913i \(0.777726\pi\)
\(504\) 2.19712 + 3.80552i 0.0978673 + 0.169511i
\(505\) 3.52013 + 1.28122i 0.156644 + 0.0570136i
\(506\) 0.0314281 0.178238i 0.00139715 0.00792363i
\(507\) −0.998782 + 1.72994i −0.0443575 + 0.0768294i
\(508\) 2.29307 + 3.97172i 0.101739 + 0.176216i
\(509\) 1.92558 0.700856i 0.0853500 0.0310649i −0.298992 0.954256i \(-0.596650\pi\)
0.384342 + 0.923191i \(0.374428\pi\)
\(510\) 0.00464762 0.00804991i 0.000205800 0.000356456i
\(511\) −10.9230 + 9.16549i −0.483205 + 0.405457i
\(512\) 1.00000 0.0441942
\(513\) −4.14321 + 3.47656i −0.182927 + 0.153494i
\(514\) −3.36058 1.22315i −0.148229 0.0539509i
\(515\) −0.207038 1.17417i −0.00912320 0.0517402i
\(516\) 0.276104 1.56586i 0.0121548 0.0689333i
\(517\) −0.717743 −0.0315663
\(518\) 7.34585 5.21728i 0.322758 0.229234i
\(519\) 1.99596 0.0876131
\(520\) 0.250093 1.41835i 0.0109673 0.0621986i
\(521\) −3.51667 19.9440i −0.154068 0.873764i −0.959633 0.281256i \(-0.909249\pi\)
0.805564 0.592508i \(-0.201862\pi\)
\(522\) −8.24508 3.00096i −0.360877 0.131349i
\(523\) 27.3107 22.9164i 1.19421 1.00206i 0.194438 0.980915i \(-0.437712\pi\)
0.999776 0.0211499i \(-0.00673273\pi\)
\(524\) −11.5598 −0.504994
\(525\) −0.207459 + 0.174078i −0.00905424 + 0.00759741i
\(526\) 15.4116 26.6936i 0.671977 1.16390i
\(527\) −0.0289412 + 0.0105337i −0.00126070 + 0.000458856i
\(528\) 0.00723636 + 0.0125337i 0.000314922 + 0.000545461i
\(529\) 8.88624 15.3914i 0.386358 0.669192i
\(530\) 0.179968 1.02065i 0.00781732 0.0443342i
\(531\) 2.53343 + 0.922095i 0.109942 + 0.0400155i
\(532\) 3.67203 + 6.36014i 0.159203 + 0.275747i
\(533\) −7.55874 6.34254i −0.327405 0.274726i
\(534\) −1.98757 1.66777i −0.0860104 0.0721713i
\(535\) −4.46727 + 1.62595i −0.193137 + 0.0702960i
\(536\) −0.438390 2.48623i −0.0189355 0.107389i
\(537\) 0.378246 + 2.14514i 0.0163225 + 0.0925696i
\(538\) 24.0371 8.74880i 1.03631 0.377188i
\(539\) −0.291427 0.244536i −0.0125526 0.0105329i
\(540\) 0.835658 + 0.701200i 0.0359610 + 0.0301749i
\(541\) −14.1090 24.4375i −0.606592 1.05065i −0.991798 0.127818i \(-0.959203\pi\)
0.385205 0.922831i \(-0.374131\pi\)
\(542\) −20.3352 7.40141i −0.873472 0.317918i
\(543\) −0.252630 + 1.43274i −0.0108414 + 0.0614846i
\(544\) −0.0254203 + 0.0440293i −0.00108989 + 0.00188774i
\(545\) −2.49049 4.31365i −0.106681 0.184777i
\(546\) 0.366517 0.133401i 0.0156855 0.00570905i
\(547\) 7.96020 13.7875i 0.340354 0.589510i −0.644145 0.764904i \(-0.722787\pi\)
0.984498 + 0.175394i \(0.0561199\pi\)
\(548\) 5.54433 4.65225i 0.236842 0.198734i
\(549\) 31.5502 1.34653
\(550\) 0.0606393 0.0508824i 0.00258567 0.00216963i
\(551\) −13.7800 5.01549i −0.587046 0.213667i
\(552\) −0.0725885 0.411670i −0.00308957 0.0175218i
\(553\) −1.69273 + 9.59995i −0.0719822 + 0.408232i
\(554\) 5.37870 0.228519
\(555\) 0.631769 0.915245i 0.0268171 0.0388500i
\(556\) 22.3815 0.949186
\(557\) 7.66362 43.4625i 0.324718 1.84157i −0.186931 0.982373i \(-0.559854\pi\)
0.511649 0.859194i \(-0.329035\pi\)
\(558\) −0.312065 1.76981i −0.0132108 0.0749219i
\(559\) 11.7698 + 4.28386i 0.497810 + 0.181188i
\(560\) 1.13470 0.952128i 0.0479499 0.0402348i
\(561\) −0.000735802 0 −3.10656e−5 0
\(562\) 0.514978 0.432118i 0.0217230 0.0182278i
\(563\) 11.7673 20.3815i 0.495931 0.858977i −0.504058 0.863670i \(-0.668160\pi\)
0.999989 + 0.00469259i \(0.00149370\pi\)
\(564\) −1.55777 + 0.566983i −0.0655941 + 0.0238743i
\(565\) −1.20966 2.09520i −0.0508910 0.0881458i
\(566\) 11.5794 20.0561i 0.486719 0.843023i
\(567\) 2.23785 12.6915i 0.0939809 0.532992i
\(568\) −6.98423 2.54205i −0.293052 0.106662i
\(569\) −8.25009 14.2896i −0.345862 0.599050i 0.639648 0.768668i \(-0.279080\pi\)
−0.985510 + 0.169617i \(0.945747\pi\)
\(570\) 0.694403 + 0.582674i 0.0290854 + 0.0244055i
\(571\) 12.1685 + 10.2106i 0.509237 + 0.427301i 0.860861 0.508841i \(-0.169926\pi\)
−0.351624 + 0.936141i \(0.614370\pi\)
\(572\) −0.107131 + 0.0389926i −0.00447939 + 0.00163036i
\(573\) −0.129688 0.735499i −0.00541781 0.0307259i
\(574\) −1.76223 9.99411i −0.0735541 0.417146i
\(575\) −2.14849 + 0.781987i −0.0895983 + 0.0326111i
\(576\) −2.27253 1.90688i −0.0946886 0.0794532i
\(577\) −21.3216 17.8910i −0.887631 0.744811i 0.0801024 0.996787i \(-0.474475\pi\)
−0.967734 + 0.251976i \(0.918920\pi\)
\(578\) 8.49871 + 14.7202i 0.353500 + 0.612279i
\(579\) −1.13464 0.412976i −0.0471541 0.0171627i
\(580\) −0.513599 + 2.91276i −0.0213260 + 0.120946i
\(581\) 0.540456 0.936097i 0.0224219 0.0388359i
\(582\) −0.186168 0.322453i −0.00771692 0.0133661i
\(583\) −0.0770925 + 0.0280594i −0.00319284 + 0.00116210i
\(584\) 4.81316 8.33664i 0.199170 0.344972i
\(585\) −3.27295 + 2.74633i −0.135320 + 0.113547i
\(586\) 7.98722 0.329949
\(587\) −10.6676 + 8.95117i −0.440299 + 0.369454i −0.835821 0.549002i \(-0.815008\pi\)
0.395522 + 0.918456i \(0.370564\pi\)
\(588\) −0.825678 0.300522i −0.0340504 0.0123933i
\(589\) −0.521552 2.95787i −0.0214902 0.121877i
\(590\) 0.157812 0.894995i 0.00649700 0.0368463i
\(591\) −1.52828 −0.0628649
\(592\) −3.45548 + 5.00596i −0.142019 + 0.205744i
\(593\) −33.4765 −1.37472 −0.687358 0.726319i \(-0.741230\pi\)
−0.687358 + 0.726319i \(0.741230\pi\)
\(594\) 0.0149950 0.0850406i 0.000615250 0.00348926i
\(595\) 0.0130770 + 0.0741635i 0.000536106 + 0.00304041i
\(596\) −8.06460 2.93528i −0.330339 0.120234i
\(597\) −1.31596 + 1.10422i −0.0538585 + 0.0451926i
\(598\) 3.29290 0.134657
\(599\) 12.3961 10.4015i 0.506490 0.424995i −0.353402 0.935472i \(-0.614975\pi\)
0.859892 + 0.510476i \(0.170531\pi\)
\(600\) 0.0914155 0.158336i 0.00373202 0.00646405i
\(601\) −22.3507 + 8.13499i −0.911704 + 0.331833i −0.754933 0.655802i \(-0.772331\pi\)
−0.156771 + 0.987635i \(0.550109\pi\)
\(602\) 6.44096 + 11.1561i 0.262514 + 0.454687i
\(603\) −3.74468 + 6.48598i −0.152495 + 0.264130i
\(604\) −1.00297 + 5.68815i −0.0408104 + 0.231447i
\(605\) 10.3307 + 3.76008i 0.420004 + 0.152869i
\(606\) −0.342446 0.593134i −0.0139109 0.0240944i
\(607\) 28.6976 + 24.0802i 1.16480 + 0.977383i 0.999960 0.00893701i \(-0.00284478\pi\)
0.164840 + 0.986320i \(0.447289\pi\)
\(608\) −3.79806 3.18695i −0.154032 0.129248i
\(609\) −0.752692 + 0.273957i −0.0305006 + 0.0111013i
\(610\) −1.84679 10.4737i −0.0747743 0.424066i
\(611\) −2.26762 12.8603i −0.0917380 0.520272i
\(612\) 0.141727 0.0515843i 0.00572896 0.00208517i
\(613\) −35.6531 29.9165i −1.44002 1.20832i −0.939480 0.342602i \(-0.888692\pi\)
−0.500537 0.865715i \(-0.666864\pi\)
\(614\) 2.45072 + 2.05640i 0.0989029 + 0.0829894i
\(615\) −0.626303 1.08479i −0.0252550 0.0437429i
\(616\) −0.110183 0.0401033i −0.00443939 0.00161581i
\(617\) 3.62412 20.5534i 0.145901 0.827448i −0.820737 0.571306i \(-0.806437\pi\)
0.966639 0.256143i \(-0.0824517\pi\)
\(618\) −0.108993 + 0.188782i −0.00438436 + 0.00759393i
\(619\) −0.789247 1.36702i −0.0317225 0.0549450i 0.849728 0.527221i \(-0.176766\pi\)
−0.881451 + 0.472276i \(0.843433\pi\)
\(620\) −0.569253 + 0.207191i −0.0228617 + 0.00832099i
\(621\) −1.24708 + 2.16000i −0.0500434 + 0.0866777i
\(622\) 6.27417 5.26466i 0.251571 0.211094i
\(623\) 21.0206 0.842173
\(624\) −0.201713 + 0.169258i −0.00807499 + 0.00677572i
\(625\) −0.939693 0.342020i −0.0375877 0.0136808i
\(626\) 5.41924 + 30.7340i 0.216596 + 1.22838i
\(627\) 0.0124603 0.0706658i 0.000497616 0.00282212i
\(628\) 4.86754 0.194236
\(629\) −0.132569 0.279395i −0.00528589 0.0111402i
\(630\) −4.39423 −0.175070
\(631\) −3.70058 + 20.9871i −0.147318 + 0.835481i 0.818159 + 0.574992i \(0.194995\pi\)
−0.965477 + 0.260489i \(0.916116\pi\)
\(632\) −1.14277 6.48099i −0.0454571 0.257800i
\(633\) −2.90969 1.05904i −0.115650 0.0420931i
\(634\) −15.7111 + 13.1831i −0.623966 + 0.523570i
\(635\) −4.58615 −0.181996
\(636\) −0.145154 + 0.121799i −0.00575574 + 0.00482964i
\(637\) 3.46079 5.99427i 0.137122 0.237502i
\(638\) 0.220009 0.0800766i 0.00871023 0.00317026i
\(639\) 11.0245 + 19.0950i 0.436122 + 0.755385i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) −3.13295 + 17.7678i −0.123744 + 0.701788i 0.858302 + 0.513145i \(0.171520\pi\)
−0.982046 + 0.188642i \(0.939591\pi\)
\(642\) 0.816755 + 0.297274i 0.0322347 + 0.0117325i
\(643\) 5.14683 + 8.91456i 0.202971 + 0.351556i 0.949484 0.313814i \(-0.101607\pi\)
−0.746513 + 0.665370i \(0.768274\pi\)
\(644\) 2.59436 + 2.17692i 0.102232 + 0.0857828i
\(645\) 1.21803 + 1.02204i 0.0479597 + 0.0402430i
\(646\) 0.236867 0.0862126i 0.00931941 0.00339199i
\(647\) 3.26851 + 18.5367i 0.128498 + 0.728751i 0.979168 + 0.203051i \(0.0650856\pi\)
−0.850670 + 0.525700i \(0.823803\pi\)
\(648\) 1.51079 + 8.56810i 0.0593493 + 0.336587i
\(649\) −0.0676013 + 0.0246049i −0.00265358 + 0.000965825i
\(650\) 1.10328 + 0.925760i 0.0432741 + 0.0363113i
\(651\) −0.125676 0.105454i −0.00492561 0.00413308i
\(652\) 10.3325 + 17.8964i 0.404651 + 0.700877i
\(653\) −5.66335 2.06129i −0.221624 0.0806645i 0.228822 0.973468i \(-0.426513\pi\)
−0.450446 + 0.892804i \(0.648735\pi\)
\(654\) −0.158137 + 0.896842i −0.00618366 + 0.0350693i
\(655\) 5.77992 10.0111i 0.225840 0.391166i
\(656\) 3.42558 + 5.93329i 0.133747 + 0.231656i
\(657\) −26.8350 + 9.76713i −1.04693 + 0.381052i
\(658\) 6.71532 11.6313i 0.261790 0.453434i
\(659\) −32.1050 + 26.9393i −1.25063 + 1.04940i −0.254016 + 0.967200i \(0.581752\pi\)
−0.996615 + 0.0822048i \(0.973804\pi\)
\(660\) −0.0144727 −0.000563350
\(661\) −22.3668 + 18.7679i −0.869966 + 0.729988i −0.964091 0.265572i \(-0.914439\pi\)
0.0941247 + 0.995560i \(0.469995\pi\)
\(662\) 3.17433 + 1.15536i 0.123374 + 0.0449044i
\(663\) −0.00232467 0.0131839i −9.02828e−5 0.000512019i
\(664\) −0.126716 + 0.718644i −0.00491755 + 0.0278888i
\(665\) −7.34406 −0.284790
\(666\) 17.3984 4.78700i 0.674175 0.185493i
\(667\) −6.76241 −0.261842
\(668\) 0.909989 5.16080i 0.0352085 0.199677i
\(669\) 0.109421 + 0.620555i 0.00423044 + 0.0239920i
\(670\) 2.37233 + 0.863459i 0.0916513 + 0.0333583i
\(671\) −0.644913 + 0.541146i −0.0248966 + 0.0208907i
\(672\) −0.270818 −0.0104470
\(673\) −24.0205 + 20.1556i −0.925922 + 0.776941i −0.975081 0.221850i \(-0.928790\pi\)
0.0491586 + 0.998791i \(0.484346\pi\)
\(674\) 11.6321 20.1474i 0.448051 0.776047i
\(675\) −1.02509 + 0.373101i −0.0394556 + 0.0143607i
\(676\) 5.46287 + 9.46198i 0.210111 + 0.363922i
\(677\) 17.6345 30.5438i 0.677749 1.17390i −0.297909 0.954594i \(-0.596289\pi\)
0.975657 0.219301i \(-0.0703776\pi\)
\(678\) −0.0768095 + 0.435608i −0.00294985 + 0.0167294i
\(679\) 2.83465 + 1.03173i 0.108784 + 0.0395941i
\(680\) −0.0254203 0.0440293i −0.000974825 0.00168845i
\(681\) 1.52045 + 1.27581i 0.0582639 + 0.0488892i
\(682\) 0.0367344 + 0.0308239i 0.00140663 + 0.00118031i
\(683\) −9.49658 + 3.45647i −0.363376 + 0.132258i −0.517254 0.855832i \(-0.673046\pi\)
0.153878 + 0.988090i \(0.450824\pi\)
\(684\) 2.55407 + 14.4849i 0.0976574 + 0.553843i
\(685\) 1.25680 + 7.12766i 0.0480198 + 0.272334i
\(686\) 16.4329 5.98107i 0.627409 0.228358i
\(687\) −1.62581 1.36422i −0.0620286 0.0520482i
\(688\) −6.66203 5.59011i −0.253987 0.213121i
\(689\) −0.746323 1.29267i −0.0284326 0.0492468i
\(690\) 0.392811 + 0.142971i 0.0149541 + 0.00544283i
\(691\) 5.75179 32.6200i 0.218808 1.24092i −0.655366 0.755311i \(-0.727486\pi\)
0.874174 0.485612i \(-0.161403\pi\)
\(692\) 5.45849 9.45439i 0.207501 0.359402i
\(693\) 0.173921 + 0.301241i 0.00660673 + 0.0114432i
\(694\) −33.2531 + 12.1031i −1.26227 + 0.459429i
\(695\) −11.1907 + 19.3829i −0.424489 + 0.735236i
\(696\) 0.414245 0.347593i 0.0157019 0.0131755i
\(697\) −0.348318 −0.0131935
\(698\) −8.00283 + 6.71517i −0.302912 + 0.254173i
\(699\) −2.54739 0.927174i −0.0963512 0.0350690i
\(700\) 0.257216 + 1.45874i 0.00972185 + 0.0551354i
\(701\) −5.68769 + 32.2565i −0.214821 + 1.21831i 0.666396 + 0.745598i \(0.267836\pi\)
−0.881217 + 0.472713i \(0.843275\pi\)
\(702\) 1.57111 0.0592976
\(703\) 29.0779 8.00049i 1.09669 0.301744i
\(704\) 0.0791590 0.00298342
\(705\) 0.287865 1.63256i 0.0108416 0.0614859i
\(706\) −3.40217 19.2947i −0.128043 0.726165i
\(707\) 5.21418 + 1.89781i 0.196100 + 0.0713744i
\(708\) −0.127284 + 0.106804i −0.00478361 + 0.00401393i
\(709\) −41.6850 −1.56551 −0.782757 0.622328i \(-0.786187\pi\)
−0.782757 + 0.622328i \(0.786187\pi\)
\(710\) 5.69360 4.77750i 0.213677 0.179296i
\(711\) −9.76146 + 16.9073i −0.366083 + 0.634075i
\(712\) −13.3353 + 4.85366i −0.499762 + 0.181899i
\(713\) −0.692528 1.19949i −0.0259354 0.0449214i
\(714\) 0.00688428 0.0119239i 0.000257638 0.000446242i
\(715\) 0.0197971 0.112275i 0.000740369 0.00419884i
\(716\) 11.1954 + 4.07480i 0.418393 + 0.152282i
\(717\) 1.62660 + 2.81736i 0.0607467 + 0.105216i
\(718\) 2.97057 + 2.49260i 0.110861 + 0.0930232i
\(719\) 11.6882 + 9.80755i 0.435896 + 0.365760i 0.834171 0.551506i \(-0.185947\pi\)
−0.398275 + 0.917266i \(0.630391\pi\)
\(720\) 2.78767 1.01463i 0.103890 0.0378129i
\(721\) −0.306675 1.73924i −0.0114212 0.0647728i
\(722\) 0.969295 + 5.49714i 0.0360734 + 0.204582i
\(723\) −1.49873 + 0.545494i −0.0557385 + 0.0202871i
\(724\) 6.09564 + 5.11485i 0.226543 + 0.190092i
\(725\) −2.26573 1.90117i −0.0841470 0.0706077i
\(726\) −1.00500 1.74071i −0.0372990 0.0646037i
\(727\) 39.9521 + 14.5414i 1.48174 + 0.539310i 0.951261 0.308387i \(-0.0997893\pi\)
0.530481 + 0.847697i \(0.322012\pi\)
\(728\) 0.370449 2.10092i 0.0137298 0.0778654i
\(729\) 12.6058 21.8339i 0.466883 0.808664i
\(730\) 4.81316 + 8.33664i 0.178143 + 0.308553i
\(731\) 0.415479 0.151222i 0.0153671 0.00559315i
\(732\) −0.972225 + 1.68394i −0.0359345 + 0.0622403i
\(733\) −9.33672 + 7.83443i −0.344859 + 0.289371i −0.798722 0.601700i \(-0.794490\pi\)
0.453863 + 0.891072i \(0.350046\pi\)
\(734\) 7.13747 0.263449
\(735\) 0.673099 0.564797i 0.0248276 0.0208328i
\(736\) −2.14849 0.781987i −0.0791945 0.0288244i
\(737\) −0.0347025 0.196808i −0.00127828 0.00724950i
\(738\) 3.52931 20.0157i 0.129916 0.736789i
\(739\) −39.9545 −1.46975 −0.734875 0.678202i \(-0.762759\pi\)
−0.734875 + 0.678202i \(0.762759\pi\)
\(740\) −2.60755 5.49552i −0.0958554 0.202019i
\(741\) 1.30554 0.0479600
\(742\) 0.266578 1.51184i 0.00978638 0.0555013i
\(743\) −2.36334 13.4032i −0.0867027 0.491716i −0.996976 0.0777080i \(-0.975240\pi\)
0.910273 0.414008i \(-0.135871\pi\)
\(744\) 0.104077 + 0.0378809i 0.00381565 + 0.00138878i
\(745\) 6.57432 5.51651i 0.240865 0.202109i
\(746\) 21.7080 0.794787
\(747\) 1.65833 1.39151i 0.0606752 0.0509125i
\(748\) −0.00201225 + 0.00348531i −7.35750e−5 + 0.000127436i
\(749\) −6.61713 + 2.40844i −0.241785 + 0.0880024i
\(750\) 0.0914155 + 0.158336i 0.00333802 + 0.00578162i
\(751\) −21.1322 + 36.6020i −0.771124 + 1.33563i 0.165824 + 0.986155i \(0.446972\pi\)
−0.936948 + 0.349470i \(0.886362\pi\)
\(752\) −1.57449 + 8.92936i −0.0574156 + 0.325620i
\(753\) 1.79166 + 0.652112i 0.0652918 + 0.0237643i
\(754\) 2.12988 + 3.68906i 0.0775655 + 0.134347i
\(755\) −4.42459 3.71267i −0.161027 0.135118i
\(756\) 1.23782 + 1.03865i 0.0450190 + 0.0377754i
\(757\) −5.75189 + 2.09352i −0.209056 + 0.0760901i −0.444425 0.895816i \(-0.646592\pi\)
0.235370 + 0.971906i \(0.424370\pi\)
\(758\) 0.966436 + 5.48093i 0.0351025 + 0.199076i
\(759\) −0.00574603 0.0325874i −0.000208568 0.00118285i
\(760\) 4.65901 1.69574i 0.169000 0.0615110i
\(761\) −1.57994 1.32573i −0.0572729 0.0480577i 0.613702 0.789538i \(-0.289680\pi\)
−0.670975 + 0.741480i \(0.734124\pi\)
\(762\) 0.642320 + 0.538971i 0.0232688 + 0.0195248i
\(763\) −3.68903 6.38959i −0.133552 0.231319i
\(764\) −3.83855 1.39712i −0.138874 0.0505459i
\(765\) −0.0261900 + 0.148531i −0.000946903 + 0.00537015i
\(766\) 15.8629 27.4753i 0.573150 0.992724i
\(767\) −0.654440 1.13352i −0.0236305 0.0409291i
\(768\) 0.171805 0.0625319i 0.00619948 0.00225642i
\(769\) −0.997039 + 1.72692i −0.0359541 + 0.0622744i −0.883443 0.468540i \(-0.844780\pi\)
0.847488 + 0.530814i \(0.178114\pi\)
\(770\) 0.0898219 0.0753695i 0.00323696 0.00271613i
\(771\) −0.653850 −0.0235478
\(772\) −5.05915 + 4.24513i −0.182083 + 0.152786i
\(773\) −15.6236 5.68651i −0.561941 0.204530i 0.0454031 0.998969i \(-0.485543\pi\)
−0.607344 + 0.794439i \(0.707765\pi\)
\(774\) 4.48000 + 25.4073i 0.161030 + 0.913248i
\(775\) 0.105194 0.596583i 0.00377867 0.0214299i
\(776\) −2.03651 −0.0731063
\(777\) 0.935807 1.35570i 0.0335719 0.0486356i
\(778\) −12.2365 −0.438702
\(779\) 5.89852 33.4522i 0.211336 1.19855i
\(780\) −0.0457247 0.259318i −0.00163721 0.00928506i
\(781\) −0.552865 0.201226i −0.0197831 0.00720045i
\(782\) 0.0890457 0.0747182i 0.00318427 0.00267192i
\(783\) −3.22648 −0.115305
\(784\) −3.68154 + 3.08918i −0.131483 + 0.110328i
\(785\) −2.43377 + 4.21541i −0.0868649 + 0.150454i
\(786\) −1.98604 + 0.722858i −0.0708395 + 0.0257835i
\(787\) 26.2485 + 45.4638i 0.935659 + 1.62061i 0.773455 + 0.633852i \(0.218527\pi\)
0.162204 + 0.986757i \(0.448140\pi\)
\(788\) −4.17948 + 7.23908i −0.148888 + 0.257881i
\(789\) 0.978582 5.54981i 0.0348384 0.197579i
\(790\) 6.18409 + 2.25082i 0.220020 + 0.0800807i
\(791\) −1.79181 3.10351i −0.0637096 0.110348i
\(792\) −0.179891 0.150946i −0.00639214 0.00536365i
\(793\) −11.7336 9.84567i −0.416673 0.349630i
\(794\) 25.9530 9.44612i 0.921037 0.335230i
\(795\) −0.0329038 0.186607i −0.00116698 0.00661825i
\(796\) 1.63158 + 9.25313i 0.0578297 + 0.327969i
\(797\) −7.39419 + 2.69127i −0.261916 + 0.0953295i −0.469640 0.882858i \(-0.655616\pi\)
0.207725 + 0.978187i \(0.433394\pi\)
\(798\) 1.02858 + 0.863084i 0.0364115 + 0.0305529i
\(799\) −0.353129 0.296311i −0.0124928 0.0104827i
\(800\) −0.500000 0.866025i −0.0176777 0.0306186i
\(801\) 39.5602 + 14.3987i 1.39779 + 0.508754i
\(802\) −5.15720 + 29.2479i −0.182107 + 1.03278i
\(803\) 0.381005 0.659920i 0.0134454 0.0232881i
\(804\) −0.230786 0.399733i −0.00813920 0.0140975i
\(805\) −3.18245 + 1.15832i −0.112167 + 0.0408253i
\(806\) −0.436235 + 0.755580i −0.0153657 + 0.0266142i
\(807\) 3.58262 3.00617i 0.126114 0.105822i
\(808\) −3.74604 −0.131785
\(809\) −9.19466 + 7.71524i −0.323267 + 0.271253i −0.789950 0.613171i \(-0.789893\pi\)
0.466683 + 0.884425i \(0.345449\pi\)
\(810\) −8.17558 2.97567i −0.287261 0.104554i
\(811\) 7.29127 + 41.3509i 0.256031 + 1.45203i 0.793412 + 0.608685i \(0.208303\pi\)
−0.537381 + 0.843340i \(0.680586\pi\)
\(812\) −0.760767 + 4.31453i −0.0266977 + 0.151410i
\(813\) −3.95651 −0.138761
\(814\) −0.273532 + 0.396267i −0.00958731 + 0.0138891i
\(815\) −20.6650 −0.723863
\(816\) −0.00161410 + 0.00915402i −5.65049e−5 + 0.000320455i
\(817\) 7.48740 + 42.4631i 0.261951 + 1.48560i
\(818\) −28.8234 10.4909i −1.00779 0.366804i
\(819\) −4.84806 + 4.06800i −0.169405 + 0.142147i
\(820\) −6.85117 −0.239253
\(821\) 6.18818 5.19250i 0.215969 0.181219i −0.528385 0.849005i \(-0.677202\pi\)
0.744354 + 0.667786i \(0.232758\pi\)
\(822\) 0.661630 1.14598i 0.0230770 0.0399705i
\(823\) 12.1931 4.43793i 0.425025 0.154696i −0.120647 0.992696i \(-0.538497\pi\)
0.545672 + 0.837999i \(0.316275\pi\)
\(824\) 0.596143 + 1.03255i 0.0207676 + 0.0359706i
\(825\) 0.00723636 0.0125337i 0.000251938 0.000436369i
\(826\) 0.233758 1.32571i 0.00813349 0.0461273i
\(827\) −22.4519 8.17184i −0.780730 0.284163i −0.0792532 0.996855i \(-0.525254\pi\)
−0.701477 + 0.712692i \(0.747476\pi\)
\(828\) 3.39135 + 5.87400i 0.117858 + 0.204135i
\(829\) 12.2407 + 10.2712i 0.425136 + 0.356732i 0.830113 0.557595i \(-0.188276\pi\)
−0.404976 + 0.914327i \(0.632720\pi\)
\(830\) −0.559006 0.469062i −0.0194034 0.0162814i
\(831\) 0.924086 0.336340i 0.0320562 0.0116675i
\(832\) 0.250093 + 1.41835i 0.00867040 + 0.0491723i
\(833\) −0.0424284 0.240623i −0.00147006 0.00833710i
\(834\) 3.84525 1.39956i 0.133150 0.0484627i
\(835\) 4.01439 + 3.36847i 0.138924 + 0.116571i
\(836\) −0.300651 0.252276i −0.0103982 0.00872515i
\(837\) −0.330418 0.572301i −0.0114209 0.0197816i
\(838\) −14.5100 5.28121i −0.501239 0.182436i
\(839\) −9.25228 + 52.4723i −0.319424 + 1.81154i 0.226841 + 0.973932i \(0.427160\pi\)
−0.546265 + 0.837612i \(0.683951\pi\)
\(840\) 0.135409 0.234535i 0.00467205 0.00809224i
\(841\) 10.1260 + 17.5388i 0.349173 + 0.604785i
\(842\) −28.6671 + 10.4340i −0.987933 + 0.359578i
\(843\) 0.0614546 0.106442i 0.00211661 0.00366607i
\(844\) −12.9737 + 10.8863i −0.446575 + 0.374721i
\(845\) −10.9257 −0.375857
\(846\) 20.6052 17.2899i 0.708423 0.594437i
\(847\) 15.3024 + 5.56961i 0.525796 + 0.191374i
\(848\) 0.179968 + 1.02065i 0.00618014 + 0.0350493i
\(849\) 0.735253 4.16983i 0.0252338 0.143108i
\(850\) 0.0508406 0.00174382
\(851\) 11.3387 8.05312i 0.388685 0.276058i
\(852\) −1.35889 −0.0465546
\(853\) 4.33113 24.5631i 0.148295 0.841023i −0.816367 0.577533i \(-0.804015\pi\)
0.964662 0.263490i \(-0.0848736\pi\)
\(854\) −2.73555 15.5141i −0.0936087 0.530881i
\(855\) −13.8213 5.03054i −0.472679 0.172041i
\(856\) 3.64175 3.05579i 0.124472 0.104445i
\(857\) −6.49761 −0.221954 −0.110977 0.993823i \(-0.535398\pi\)
−0.110977 + 0.993823i \(0.535398\pi\)
\(858\) −0.0159674 + 0.0133983i −0.000545119 + 0.000457409i
\(859\) 4.62225 8.00597i 0.157709 0.273160i −0.776333 0.630323i \(-0.782922\pi\)
0.934042 + 0.357163i \(0.116256\pi\)
\(860\) 8.17219 2.97443i 0.278669 0.101427i
\(861\) −0.927710 1.60684i −0.0316163 0.0547610i
\(862\) 17.4556 30.2340i 0.594540 1.02977i
\(863\) 1.52556 8.65191i 0.0519308 0.294514i −0.947771 0.318953i \(-0.896669\pi\)
0.999701 + 0.0244387i \(0.00777987\pi\)
\(864\) −1.02509 0.373101i −0.0348741 0.0126932i
\(865\) 5.45849 + 9.45439i 0.185594 + 0.321459i
\(866\) 12.2431 + 10.2732i 0.416036 + 0.349096i
\(867\) 2.38060 + 1.99756i 0.0808494 + 0.0678407i
\(868\) −0.843205 + 0.306901i −0.0286202 + 0.0104169i
\(869\) −0.0904608 0.513028i −0.00306867 0.0174033i
\(870\) 0.0939018 + 0.532543i 0.00318357 + 0.0180549i
\(871\) 3.41670 1.24358i 0.115770 0.0421370i
\(872\) 3.81565 + 3.20171i 0.129214 + 0.108424i
\(873\) 4.62802 + 3.88337i 0.156635 + 0.131432i
\(874\) 5.66795 + 9.81718i 0.191721 + 0.332071i
\(875\) −1.39192 0.506617i −0.0470554 0.0171268i
\(876\) 0.305619 1.73325i 0.0103259 0.0585611i
\(877\) −24.7972 + 42.9500i −0.837341 + 1.45032i 0.0547685 + 0.998499i \(0.482558\pi\)
−0.892110 + 0.451819i \(0.850775\pi\)
\(878\) 8.74405 + 15.1451i 0.295097 + 0.511124i
\(879\) 1.37224 0.499456i 0.0462846 0.0168462i
\(880\) −0.0395795 + 0.0685537i −0.00133422 + 0.00231094i
\(881\) −12.2587 + 10.2862i −0.413005 + 0.346552i −0.825495 0.564410i \(-0.809104\pi\)
0.412490 + 0.910962i \(0.364659\pi\)
\(882\) 14.2571 0.480060
\(883\) 11.8550 9.94752i 0.398952 0.334761i −0.421136 0.906997i \(-0.638369\pi\)
0.820088 + 0.572237i \(0.193924\pi\)
\(884\) −0.0688062 0.0250434i −0.00231420 0.000842301i
\(885\) −0.0288529 0.163633i −0.000969878 0.00550045i
\(886\) −3.28825 + 18.6486i −0.110471 + 0.626512i
\(887\) 47.0374 1.57936 0.789680 0.613518i \(-0.210246\pi\)
0.789680 + 0.613518i \(0.210246\pi\)
\(888\) −0.280637 + 1.07613i −0.00941755 + 0.0361124i
\(889\) −6.79322 −0.227837
\(890\) 2.46427 13.9756i 0.0826024 0.468462i
\(891\) 0.119592 + 0.678242i 0.00400649 + 0.0227220i
\(892\) 3.23865 + 1.17877i 0.108438 + 0.0394683i
\(893\) 34.4374 28.8964i 1.15241 0.966983i
\(894\) −1.56909 −0.0524781
\(895\) −9.12659 + 7.65812i −0.305068 + 0.255983i
\(896\) −0.740624 + 1.28280i −0.0247425 + 0.0428553i
\(897\) 0.565737 0.205911i 0.0188894 0.00687518i
\(898\) −9.59202 16.6139i −0.320090 0.554412i
\(899\) 0.895866 1.55169i 0.0298788 0.0517516i
\(900\) −0.515140 + 2.92150i −0.0171713 + 0.0973835i
\(901\) −0.0495134 0.0180214i −0.00164953 0.000600380i
\(902\) 0.271166 + 0.469673i 0.00902883 + 0.0156384i
\(903\) 1.80420 + 1.51390i 0.0600399 + 0.0503795i
\(904\) 1.85331 + 1.55512i 0.0616403 + 0.0517224i
\(905\) −7.47741 + 2.72155i −0.248557 + 0.0904675i
\(906\) 0.183375 + 1.03997i 0.00609222 + 0.0345507i
\(907\) −4.75701 26.9783i −0.157954 0.895800i −0.956035 0.293251i \(-0.905263\pi\)
0.798082 0.602549i \(-0.205848\pi\)
\(908\) 10.2013 3.71297i 0.338542 0.123219i
\(909\) 8.51298 + 7.14324i 0.282358 + 0.236926i
\(910\) 1.63423 + 1.37128i 0.0541741 + 0.0454575i
\(911\) −23.1390 40.0779i −0.766628 1.32784i −0.939382 0.342874i \(-0.888600\pi\)
0.172753 0.984965i \(-0.444734\pi\)
\(912\) −0.851812 0.310034i −0.0282063 0.0102663i
\(913\) −0.0100307 + 0.0568871i −0.000331969 + 0.00188269i
\(914\) −7.99104 + 13.8409i −0.264320 + 0.457816i
\(915\) −0.972225 1.68394i −0.0321408 0.0556694i
\(916\) −10.9082 + 3.97025i −0.360417 + 0.131181i
\(917\) 8.56149 14.8289i 0.282725 0.489695i
\(918\) 0.0424854 0.0356495i 0.00140223 0.00117661i
\(919\) −1.50350 −0.0495959 −0.0247980 0.999692i \(-0.507894\pi\)
−0.0247980 + 0.999692i \(0.507894\pi\)
\(920\) 1.75147 1.46966i 0.0577442 0.0484531i
\(921\) 0.549636 + 0.200051i 0.0181111 + 0.00659190i
\(922\) 2.61267 + 14.8172i 0.0860436 + 0.487978i
\(923\) 1.85881 10.5418i 0.0611833 0.346988i
\(924\) −0.0214377 −0.000705248
\(925\) 6.06303 + 0.489555i 0.199351 + 0.0160965i
\(926\) 15.8109 0.519579
\(927\) 0.614194 3.48327i 0.0201728 0.114406i
\(928\) −0.513599 2.91276i −0.0168597 0.0956162i
\(929\) 46.8233 + 17.0423i 1.53622 + 0.559140i 0.965136 0.261749i \(-0.0842992\pi\)
0.571088 + 0.820889i \(0.306521\pi\)
\(930\) −0.0848444 + 0.0711929i −0.00278216 + 0.00233451i
\(931\) 23.8278 0.780923
\(932\) −11.3583 + 9.53076i −0.372054 + 0.312190i
\(933\) 0.748725 1.29683i 0.0245122 0.0424563i
\(934\) −24.7897 + 9.02272i −0.811144 + 0.295232i
\(935\) −0.00201225 0.00348531i −6.58075e−5 0.000113982i
\(936\) 2.13627 3.70012i 0.0698261 0.120942i
\(937\) 5.09571 28.8992i 0.166470 0.944095i −0.781067 0.624447i \(-0.785324\pi\)
0.947536 0.319648i \(-0.103565\pi\)
\(938\) 3.51402 + 1.27900i 0.114737 + 0.0417607i
\(939\) 2.85291 + 4.94138i 0.0931011 + 0.161256i
\(940\) −6.94581 5.82822i −0.226547 0.190096i
\(941\) 17.0436 + 14.3013i 0.555605 + 0.466208i 0.876834 0.480794i \(-0.159651\pi\)
−0.321229 + 0.947002i \(0.604096\pi\)
\(942\) 0.836267 0.304376i 0.0272470 0.00991711i
\(943\) −2.72009 15.4264i −0.0885782 0.502352i
\(944\) 0.157812 + 0.894995i 0.00513633 + 0.0291296i
\(945\) −1.51841 + 0.552655i −0.0493938 + 0.0179779i
\(946\) −0.527359 0.442507i −0.0171459 0.0143871i
\(947\) −37.0668 31.1027i −1.20451 1.01070i −0.999490 0.0319443i \(-0.989830\pi\)
−0.205019 0.978758i \(-0.565725\pi\)
\(948\) −0.601602 1.04201i −0.0195391 0.0338428i
\(949\) 13.0280 + 4.74179i 0.422906 + 0.153925i
\(950\) −0.860951 + 4.88269i −0.0279329 + 0.158416i
\(951\) −1.87487 + 3.24737i −0.0607969 + 0.105303i
\(952\) −0.0376538 0.0652183i −0.00122037 0.00211374i
\(953\) 1.92656 0.701211i 0.0624074 0.0227144i −0.310628 0.950532i \(-0.600539\pi\)
0.373035 + 0.927817i \(0.378317\pi\)
\(954\) 1.53727 2.66263i 0.0497710 0.0862060i
\(955\) 3.12921 2.62572i 0.101259 0.0849663i
\(956\) 17.7935 0.575484
\(957\) 0.0327912 0.0275151i 0.00105999 0.000889437i
\(958\) −1.05288 0.383216i −0.0340169 0.0123812i
\(959\) 1.86163 + 10.5578i 0.0601152 + 0.340930i
\(960\) −0.0317483 + 0.180053i −0.00102467 + 0.00581120i
\(961\) −30.6330 −0.988162
\(962\) −7.96438 3.64912i −0.256782 0.117652i
\(963\) −14.1030 −0.454462
\(964\) −1.51481 + 8.59093i −0.0487888 + 0.276695i
\(965\) −1.14682 6.50392i −0.0369173 0.209368i
\(966\) 0.581850 + 0.211776i 0.0187207 + 0.00681379i
\(967\) 33.4555 28.0725i 1.07586 0.902750i 0.0802857 0.996772i \(-0.474417\pi\)
0.995570 + 0.0940217i \(0.0299723\pi\)
\(968\) −10.9937 −0.353352
\(969\) 0.0353039 0.0296235i 0.00113412 0.000951644i
\(970\) 1.01825 1.76367i 0.0326941 0.0566279i
\(971\) 51.7886 18.8495i 1.66197 0.604909i 0.671303 0.741183i \(-0.265735\pi\)
0.990671 + 0.136274i \(0.0435127\pi\)
\(972\) 2.43165 + 4.21174i 0.0779952 + 0.135092i
\(973\) −16.5763 + 28.7109i −0.531411 + 0.920430i
\(974\) 4.15509 23.5647i 0.133138 0.755061i
\(975\) 0.247438 + 0.0900600i 0.00792436 + 0.00288423i
\(976\) 5.31761 + 9.21038i 0.170213 + 0.294817i
\(977\) 32.1437 + 26.9717i 1.02837 + 0.862902i 0.990656 0.136387i \(-0.0435490\pi\)
0.0377109 + 0.999289i \(0.487993\pi\)
\(978\) 2.89427 + 2.42858i 0.0925485 + 0.0776574i
\(979\) −1.05561 + 0.384211i −0.0337375 + 0.0122794i
\(980\) −0.834536 4.73289i −0.0266583 0.151187i
\(981\) −2.56590 14.5519i −0.0819229 0.464608i
\(982\) −14.5893 + 5.31007i −0.465563 + 0.169451i
\(983\) −34.8427 29.2365i −1.11131 0.932498i −0.113175 0.993575i \(-0.536102\pi\)
−0.998133 + 0.0610769i \(0.980547\pi\)
\(984\) 0.959552 + 0.805159i 0.0305894 + 0.0256675i
\(985\) −4.17948 7.23908i −0.133169 0.230656i
\(986\) 0.141303 + 0.0514300i 0.00450000 + 0.00163786i
\(987\) 0.426399 2.41823i 0.0135724 0.0769731i
\(988\) 3.57033 6.18400i 0.113587 0.196739i
\(989\) 9.94193 + 17.2199i 0.316135 + 0.547562i
\(990\) 0.220669 0.0803169i 0.00701332 0.00255264i
\(991\) −17.6444 + 30.5610i −0.560493 + 0.970802i 0.436960 + 0.899481i \(0.356055\pi\)
−0.997453 + 0.0713215i \(0.977278\pi\)
\(992\) 0.464059 0.389392i 0.0147339 0.0123632i
\(993\) 0.617613 0.0195993
\(994\) 8.43364 7.07666i 0.267499 0.224458i
\(995\) −8.82924 3.21358i −0.279906 0.101877i
\(996\) 0.0231677 + 0.131390i 0.000734096 + 0.00416326i
\(997\) 2.41341 13.6871i 0.0764335 0.433476i −0.922445 0.386129i \(-0.873812\pi\)
0.998878 0.0473473i \(-0.0150768\pi\)
\(998\) −14.2163 −0.450009
\(999\) 5.40990 3.84230i 0.171162 0.121565i
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 370.2.o.a.181.2 18
37.9 even 9 inner 370.2.o.a.231.2 yes 18
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
370.2.o.a.181.2 18 1.1 even 1 trivial
370.2.o.a.231.2 yes 18 37.9 even 9 inner