Properties

Label 570.2.u.e.481.1
Level $570$
Weight $2$
Character 570.481
Analytic conductor $4.551$
Analytic rank $0$
Dimension $6$
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] = [570,2,Mod(61,570)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(570, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([0, 0, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("570.61");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.u (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: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{6} - x^{3} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 481.1
Root \(0.939693 + 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 570.481
Dual form 570.2.u.e.301.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.766044 - 0.642788i) q^{2} +(0.939693 + 0.342020i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(0.939693 - 0.342020i) q^{6} +(1.26604 - 2.19285i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.766044 + 0.642788i) q^{9} +O(q^{10})\) \(q+(0.766044 - 0.642788i) q^{2} +(0.939693 + 0.342020i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(0.939693 - 0.342020i) q^{6} +(1.26604 - 2.19285i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.766044 + 0.642788i) q^{9} +(-0.766044 - 0.642788i) q^{10} +(0.326352 + 0.565258i) q^{11} +(0.500000 - 0.866025i) q^{12} +(0.213011 - 0.0775297i) q^{13} +(-0.439693 - 2.49362i) q^{14} +(0.173648 - 0.984808i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(0.624485 - 0.524005i) q^{17} +1.00000 q^{18} +(0.0320889 - 4.35878i) q^{19} -1.00000 q^{20} +(1.93969 - 1.62760i) q^{21} +(0.613341 + 0.223238i) q^{22} +(-0.680922 + 3.86170i) q^{23} +(-0.173648 - 0.984808i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(0.113341 - 0.196312i) q^{26} +(0.500000 + 0.866025i) q^{27} +(-1.93969 - 1.62760i) q^{28} +(-1.14156 - 0.957882i) q^{29} +(-0.500000 - 0.866025i) q^{30} +(0.479055 - 0.829748i) q^{31} +(-0.939693 + 0.342020i) q^{32} +(0.113341 + 0.642788i) q^{33} +(0.141559 - 0.802823i) q^{34} +(-2.37939 - 0.866025i) q^{35} +(0.766044 - 0.642788i) q^{36} +1.34730 q^{37} +(-2.77719 - 3.35965i) q^{38} +0.226682 q^{39} +(-0.766044 + 0.642788i) q^{40} +(4.35844 + 1.58634i) q^{41} +(0.439693 - 2.49362i) q^{42} +(-0.273318 - 1.55007i) q^{43} +(0.613341 - 0.223238i) q^{44} +(0.500000 - 0.866025i) q^{45} +(1.96064 + 3.39592i) q^{46} +(6.06805 + 5.09170i) q^{47} +(-0.766044 - 0.642788i) q^{48} +(0.294263 + 0.509678i) q^{49} +(-0.500000 + 0.866025i) q^{50} +(0.766044 - 0.278817i) q^{51} +(-0.0393628 - 0.223238i) q^{52} +(-1.06031 + 6.01330i) q^{53} +(0.939693 + 0.342020i) q^{54} +(0.500000 - 0.419550i) q^{55} -2.53209 q^{56} +(1.52094 - 4.08494i) q^{57} -1.49020 q^{58} +(-2.37939 + 1.99654i) q^{59} +(-0.939693 - 0.342020i) q^{60} +(-0.553033 + 3.13641i) q^{61} +(-0.166374 - 0.943555i) q^{62} +(2.37939 - 0.866025i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-0.113341 - 0.196312i) q^{65} +(0.500000 + 0.419550i) q^{66} +(-0.690722 - 0.579585i) q^{67} +(-0.407604 - 0.705990i) q^{68} +(-1.96064 + 3.39592i) q^{69} +(-2.37939 + 0.866025i) q^{70} +(1.60354 + 9.09413i) q^{71} +(0.173648 - 0.984808i) q^{72} +(-10.1912 - 3.70929i) q^{73} +(1.03209 - 0.866025i) q^{74} -1.00000 q^{75} +(-4.28699 - 0.788496i) q^{76} +1.65270 q^{77} +(0.173648 - 0.145708i) q^{78} +(2.69207 + 0.979832i) q^{79} +(-0.173648 + 0.984808i) q^{80} +(0.173648 + 0.984808i) q^{81} +(4.35844 - 1.58634i) q^{82} +(-4.46198 + 7.72838i) q^{83} +(-1.26604 - 2.19285i) q^{84} +(-0.624485 - 0.524005i) q^{85} +(-1.20574 - 1.01173i) q^{86} +(-0.745100 - 1.29055i) q^{87} +(0.326352 - 0.565258i) q^{88} +(-14.2023 + 5.16923i) q^{89} +(-0.173648 - 0.984808i) q^{90} +(0.0996702 - 0.565258i) q^{91} +(3.68479 + 1.34115i) q^{92} +(0.733956 - 0.615862i) q^{93} +7.92127 q^{94} +(-4.29813 + 0.725293i) q^{95} -1.00000 q^{96} +(-0.603541 + 0.506431i) q^{97} +(0.553033 + 0.201288i) q^{98} +(-0.113341 + 0.642788i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q + 3 q^{7} - 3 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 6 q + 3 q^{7} - 3 q^{8} + 3 q^{11} + 3 q^{12} + 9 q^{13} + 3 q^{14} - 9 q^{17} + 6 q^{18} - 9 q^{19} - 6 q^{20} + 6 q^{21} - 3 q^{22} - 21 q^{23} - 6 q^{26} + 3 q^{27} - 6 q^{28} - 15 q^{29} - 3 q^{30} + 6 q^{31} - 6 q^{33} + 9 q^{34} - 3 q^{35} + 6 q^{37} - 6 q^{38} - 12 q^{39} + 18 q^{41} - 3 q^{42} - 15 q^{43} - 3 q^{44} + 3 q^{45} + 3 q^{46} - 6 q^{47} + 12 q^{49} - 3 q^{50} - 9 q^{52} - 12 q^{53} + 3 q^{55} - 6 q^{56} + 6 q^{57} - 6 q^{58} - 3 q^{59} + 9 q^{61} + 18 q^{62} + 3 q^{63} - 3 q^{64} + 6 q^{65} + 3 q^{66} - 24 q^{67} - 6 q^{68} - 3 q^{69} - 3 q^{70} - 15 q^{73} - 3 q^{74} - 6 q^{75} - 18 q^{76} + 12 q^{77} + 27 q^{79} + 18 q^{82} - 9 q^{83} - 3 q^{84} + 9 q^{85} + 3 q^{86} - 3 q^{87} + 3 q^{88} - 33 q^{89} + 15 q^{91} + 15 q^{92} + 9 q^{93} + 30 q^{94} - 12 q^{95} - 6 q^{96} + 6 q^{97} - 9 q^{98} + 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 0.642788i 0.541675 0.454519i
\(3\) 0.939693 + 0.342020i 0.542532 + 0.197465i
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) −0.173648 0.984808i −0.0776578 0.440419i
\(6\) 0.939693 0.342020i 0.383628 0.139629i
\(7\) 1.26604 2.19285i 0.478520 0.828821i −0.521177 0.853449i \(-0.674507\pi\)
0.999697 + 0.0246281i \(0.00784015\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) 0.766044 + 0.642788i 0.255348 + 0.214263i
\(10\) −0.766044 0.642788i −0.242245 0.203267i
\(11\) 0.326352 + 0.565258i 0.0983988 + 0.170432i 0.911022 0.412358i \(-0.135295\pi\)
−0.812623 + 0.582789i \(0.801961\pi\)
\(12\) 0.500000 0.866025i 0.144338 0.250000i
\(13\) 0.213011 0.0775297i 0.0590786 0.0215029i −0.312312 0.949980i \(-0.601103\pi\)
0.371390 + 0.928477i \(0.378881\pi\)
\(14\) −0.439693 2.49362i −0.117513 0.666448i
\(15\) 0.173648 0.984808i 0.0448358 0.254276i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) 0.624485 0.524005i 0.151460 0.127090i −0.563909 0.825837i \(-0.690703\pi\)
0.715369 + 0.698747i \(0.246259\pi\)
\(18\) 1.00000 0.235702
\(19\) 0.0320889 4.35878i 0.00736170 0.999973i
\(20\) −1.00000 −0.223607
\(21\) 1.93969 1.62760i 0.423276 0.355170i
\(22\) 0.613341 + 0.223238i 0.130765 + 0.0475945i
\(23\) −0.680922 + 3.86170i −0.141982 + 0.805220i 0.827759 + 0.561084i \(0.189616\pi\)
−0.969741 + 0.244136i \(0.921496\pi\)
\(24\) −0.173648 0.984808i −0.0354458 0.201023i
\(25\) −0.939693 + 0.342020i −0.187939 + 0.0684040i
\(26\) 0.113341 0.196312i 0.0222280 0.0385000i
\(27\) 0.500000 + 0.866025i 0.0962250 + 0.166667i
\(28\) −1.93969 1.62760i −0.366567 0.307587i
\(29\) −1.14156 0.957882i −0.211982 0.177874i 0.530614 0.847614i \(-0.321961\pi\)
−0.742596 + 0.669739i \(0.766406\pi\)
\(30\) −0.500000 0.866025i −0.0912871 0.158114i
\(31\) 0.479055 0.829748i 0.0860409 0.149027i −0.819793 0.572659i \(-0.805912\pi\)
0.905834 + 0.423632i \(0.139245\pi\)
\(32\) −0.939693 + 0.342020i −0.166116 + 0.0604612i
\(33\) 0.113341 + 0.642788i 0.0197301 + 0.111895i
\(34\) 0.141559 0.802823i 0.0242772 0.137683i
\(35\) −2.37939 0.866025i −0.402190 0.146385i
\(36\) 0.766044 0.642788i 0.127674 0.107131i
\(37\) 1.34730 0.221494 0.110747 0.993849i \(-0.464676\pi\)
0.110747 + 0.993849i \(0.464676\pi\)
\(38\) −2.77719 3.35965i −0.450520 0.545007i
\(39\) 0.226682 0.0362981
\(40\) −0.766044 + 0.642788i −0.121122 + 0.101634i
\(41\) 4.35844 + 1.58634i 0.680674 + 0.247745i 0.659137 0.752023i \(-0.270922\pi\)
0.0215372 + 0.999768i \(0.493144\pi\)
\(42\) 0.439693 2.49362i 0.0678460 0.384774i
\(43\) −0.273318 1.55007i −0.0416807 0.236383i 0.956849 0.290584i \(-0.0938497\pi\)
−0.998530 + 0.0542017i \(0.982739\pi\)
\(44\) 0.613341 0.223238i 0.0924646 0.0336544i
\(45\) 0.500000 0.866025i 0.0745356 0.129099i
\(46\) 1.96064 + 3.39592i 0.289080 + 0.500702i
\(47\) 6.06805 + 5.09170i 0.885116 + 0.742700i 0.967224 0.253923i \(-0.0817210\pi\)
−0.0821086 + 0.996623i \(0.526165\pi\)
\(48\) −0.766044 0.642788i −0.110569 0.0927784i
\(49\) 0.294263 + 0.509678i 0.0420376 + 0.0728112i
\(50\) −0.500000 + 0.866025i −0.0707107 + 0.122474i
\(51\) 0.766044 0.278817i 0.107268 0.0390422i
\(52\) −0.0393628 0.223238i −0.00545864 0.0309575i
\(53\) −1.06031 + 6.01330i −0.145644 + 0.825991i 0.821203 + 0.570636i \(0.193303\pi\)
−0.966847 + 0.255354i \(0.917808\pi\)
\(54\) 0.939693 + 0.342020i 0.127876 + 0.0465430i
\(55\) 0.500000 0.419550i 0.0674200 0.0565721i
\(56\) −2.53209 −0.338365
\(57\) 1.52094 4.08494i 0.201454 0.541063i
\(58\) −1.49020 −0.195673
\(59\) −2.37939 + 1.99654i −0.309770 + 0.259928i −0.784397 0.620259i \(-0.787027\pi\)
0.474627 + 0.880187i \(0.342583\pi\)
\(60\) −0.939693 0.342020i −0.121314 0.0441546i
\(61\) −0.553033 + 3.13641i −0.0708087 + 0.401576i 0.928717 + 0.370789i \(0.120913\pi\)
−0.999526 + 0.0307873i \(0.990199\pi\)
\(62\) −0.166374 0.943555i −0.0211295 0.119832i
\(63\) 2.37939 0.866025i 0.299774 0.109109i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −0.113341 0.196312i −0.0140582 0.0243495i
\(66\) 0.500000 + 0.419550i 0.0615457 + 0.0516430i
\(67\) −0.690722 0.579585i −0.0843852 0.0708076i 0.599619 0.800285i \(-0.295319\pi\)
−0.684004 + 0.729478i \(0.739763\pi\)
\(68\) −0.407604 0.705990i −0.0494292 0.0856139i
\(69\) −1.96064 + 3.39592i −0.236033 + 0.408821i
\(70\) −2.37939 + 0.866025i −0.284391 + 0.103510i
\(71\) 1.60354 + 9.09413i 0.190305 + 1.07927i 0.918947 + 0.394380i \(0.129041\pi\)
−0.728642 + 0.684895i \(0.759848\pi\)
\(72\) 0.173648 0.984808i 0.0204646 0.116061i
\(73\) −10.1912 3.70929i −1.19279 0.434139i −0.332087 0.943249i \(-0.607753\pi\)
−0.860702 + 0.509109i \(0.829975\pi\)
\(74\) 1.03209 0.866025i 0.119978 0.100673i
\(75\) −1.00000 −0.115470
\(76\) −4.28699 0.788496i −0.491751 0.0904467i
\(77\) 1.65270 0.188343
\(78\) 0.173648 0.145708i 0.0196618 0.0164982i
\(79\) 2.69207 + 0.979832i 0.302881 + 0.110240i 0.488990 0.872289i \(-0.337365\pi\)
−0.186109 + 0.982529i \(0.559588\pi\)
\(80\) −0.173648 + 0.984808i −0.0194145 + 0.110105i
\(81\) 0.173648 + 0.984808i 0.0192942 + 0.109423i
\(82\) 4.35844 1.58634i 0.481309 0.175182i
\(83\) −4.46198 + 7.72838i −0.489766 + 0.848300i −0.999931 0.0117771i \(-0.996251\pi\)
0.510165 + 0.860077i \(0.329584\pi\)
\(84\) −1.26604 2.19285i −0.138137 0.239260i
\(85\) −0.624485 0.524005i −0.0677349 0.0568364i
\(86\) −1.20574 1.01173i −0.130018 0.109098i
\(87\) −0.745100 1.29055i −0.0798831 0.138362i
\(88\) 0.326352 0.565258i 0.0347892 0.0602567i
\(89\) −14.2023 + 5.16923i −1.50544 + 0.547937i −0.957464 0.288554i \(-0.906826\pi\)
−0.547981 + 0.836491i \(0.684603\pi\)
\(90\) −0.173648 0.984808i −0.0183041 0.103808i
\(91\) 0.0996702 0.565258i 0.0104483 0.0592551i
\(92\) 3.68479 + 1.34115i 0.384166 + 0.139825i
\(93\) 0.733956 0.615862i 0.0761076 0.0638619i
\(94\) 7.92127 0.817017
\(95\) −4.29813 + 0.725293i −0.440979 + 0.0744135i
\(96\) −1.00000 −0.102062
\(97\) −0.603541 + 0.506431i −0.0612803 + 0.0514202i −0.672913 0.739721i \(-0.734957\pi\)
0.611633 + 0.791142i \(0.290513\pi\)
\(98\) 0.553033 + 0.201288i 0.0558648 + 0.0203331i
\(99\) −0.113341 + 0.642788i −0.0113912 + 0.0646026i
\(100\) 0.173648 + 0.984808i 0.0173648 + 0.0984808i
\(101\) 8.39053 3.05390i 0.834889 0.303875i 0.111025 0.993818i \(-0.464587\pi\)
0.723864 + 0.689943i \(0.242364\pi\)
\(102\) 0.407604 0.705990i 0.0403588 0.0699035i
\(103\) 0.730552 + 1.26535i 0.0719834 + 0.124679i 0.899770 0.436363i \(-0.143734\pi\)
−0.827787 + 0.561042i \(0.810400\pi\)
\(104\) −0.173648 0.145708i −0.0170276 0.0142879i
\(105\) −1.93969 1.62760i −0.189295 0.158837i
\(106\) 3.05303 + 5.28801i 0.296537 + 0.513617i
\(107\) −3.66637 + 6.35035i −0.354442 + 0.613911i −0.987022 0.160583i \(-0.948662\pi\)
0.632580 + 0.774495i \(0.281996\pi\)
\(108\) 0.939693 0.342020i 0.0904220 0.0329109i
\(109\) 1.23143 + 6.98378i 0.117950 + 0.668925i 0.985247 + 0.171136i \(0.0547436\pi\)
−0.867298 + 0.497789i \(0.834145\pi\)
\(110\) 0.113341 0.642788i 0.0108066 0.0612874i
\(111\) 1.26604 + 0.460802i 0.120168 + 0.0437374i
\(112\) −1.93969 + 1.62760i −0.183284 + 0.153793i
\(113\) −14.7101 −1.38381 −0.691904 0.721990i \(-0.743228\pi\)
−0.691904 + 0.721990i \(0.743228\pi\)
\(114\) −1.46064 4.10689i −0.136801 0.384645i
\(115\) 3.92127 0.365661
\(116\) −1.14156 + 0.957882i −0.105991 + 0.0889371i
\(117\) 0.213011 + 0.0775297i 0.0196929 + 0.00716762i
\(118\) −0.539363 + 3.05888i −0.0496524 + 0.281593i
\(119\) −0.358441 2.03282i −0.0328582 0.186348i
\(120\) −0.939693 + 0.342020i −0.0857818 + 0.0312220i
\(121\) 5.28699 9.15733i 0.480635 0.832485i
\(122\) 1.59240 + 2.75811i 0.144169 + 0.249708i
\(123\) 3.55303 + 2.98135i 0.320366 + 0.268819i
\(124\) −0.733956 0.615862i −0.0659112 0.0553060i
\(125\) 0.500000 + 0.866025i 0.0447214 + 0.0774597i
\(126\) 1.26604 2.19285i 0.112788 0.195355i
\(127\) 0.113341 0.0412527i 0.0100574 0.00366058i −0.336987 0.941509i \(-0.609408\pi\)
0.347044 + 0.937849i \(0.387185\pi\)
\(128\) 0.173648 + 0.984808i 0.0153485 + 0.0870455i
\(129\) 0.273318 1.55007i 0.0240643 0.136476i
\(130\) −0.213011 0.0775297i −0.0186823 0.00679980i
\(131\) 7.53983 6.32667i 0.658758 0.552764i −0.250956 0.967998i \(-0.580745\pi\)
0.909714 + 0.415235i \(0.136301\pi\)
\(132\) 0.652704 0.0568106
\(133\) −9.51754 5.58878i −0.825275 0.484608i
\(134\) −0.901674 −0.0778928
\(135\) 0.766044 0.642788i 0.0659306 0.0553223i
\(136\) −0.766044 0.278817i −0.0656878 0.0239084i
\(137\) −2.38326 + 13.5161i −0.203615 + 1.15476i 0.695989 + 0.718053i \(0.254966\pi\)
−0.899604 + 0.436707i \(0.856145\pi\)
\(138\) 0.680922 + 3.86170i 0.0579639 + 0.328730i
\(139\) 16.6766 6.06980i 1.41449 0.514834i 0.482049 0.876144i \(-0.339893\pi\)
0.932446 + 0.361311i \(0.117671\pi\)
\(140\) −1.26604 + 2.19285i −0.107000 + 0.185330i
\(141\) 3.96064 + 6.86002i 0.333546 + 0.577718i
\(142\) 7.07398 + 5.93577i 0.593635 + 0.498119i
\(143\) 0.113341 + 0.0951042i 0.00947803 + 0.00795301i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) −0.745100 + 1.29055i −0.0618772 + 0.107174i
\(146\) −10.1912 + 3.70929i −0.843429 + 0.306983i
\(147\) 0.102196 + 0.579585i 0.00842902 + 0.0478034i
\(148\) 0.233956 1.32683i 0.0192310 0.109065i
\(149\) −6.00640 2.18615i −0.492063 0.179096i 0.0840576 0.996461i \(-0.473212\pi\)
−0.576121 + 0.817365i \(0.695434\pi\)
\(150\) −0.766044 + 0.642788i −0.0625473 + 0.0524834i
\(151\) 10.6527 0.866905 0.433452 0.901176i \(-0.357295\pi\)
0.433452 + 0.901176i \(0.357295\pi\)
\(152\) −3.79086 + 2.15160i −0.307479 + 0.174518i
\(153\) 0.815207 0.0659056
\(154\) 1.26604 1.06234i 0.102021 0.0856056i
\(155\) −0.900330 0.327693i −0.0723162 0.0263210i
\(156\) 0.0393628 0.223238i 0.00315155 0.0178733i
\(157\) −1.98158 11.2381i −0.158147 0.896899i −0.955852 0.293850i \(-0.905063\pi\)
0.797704 0.603049i \(-0.206048\pi\)
\(158\) 2.69207 0.979832i 0.214169 0.0779513i
\(159\) −3.05303 + 5.28801i −0.242121 + 0.419366i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 7.60607 + 6.38225i 0.599442 + 0.502992i
\(162\) 0.766044 + 0.642788i 0.0601861 + 0.0505022i
\(163\) −5.47178 9.47740i −0.428583 0.742328i 0.568165 0.822915i \(-0.307654\pi\)
−0.996748 + 0.0805874i \(0.974320\pi\)
\(164\) 2.31908 4.01676i 0.181090 0.313656i
\(165\) 0.613341 0.223238i 0.0477485 0.0173790i
\(166\) 1.54963 + 8.78839i 0.120275 + 0.682111i
\(167\) −2.12923 + 12.0755i −0.164765 + 0.934429i 0.784541 + 0.620076i \(0.212898\pi\)
−0.949306 + 0.314352i \(0.898213\pi\)
\(168\) −2.37939 0.866025i −0.183574 0.0668153i
\(169\) −9.91921 + 8.32321i −0.763017 + 0.640247i
\(170\) −0.815207 −0.0625236
\(171\) 2.82635 3.31839i 0.216137 0.253764i
\(172\) −1.57398 −0.120015
\(173\) −0.260115 + 0.218262i −0.0197762 + 0.0165942i −0.652622 0.757684i \(-0.726331\pi\)
0.632846 + 0.774278i \(0.281887\pi\)
\(174\) −1.40033 0.509678i −0.106159 0.0386386i
\(175\) −0.439693 + 2.49362i −0.0332376 + 0.188500i
\(176\) −0.113341 0.642788i −0.00854338 0.0484519i
\(177\) −2.91875 + 1.06234i −0.219387 + 0.0798502i
\(178\) −7.55690 + 13.0889i −0.566414 + 0.981058i
\(179\) −7.30541 12.6533i −0.546032 0.945755i −0.998541 0.0539952i \(-0.982804\pi\)
0.452509 0.891760i \(-0.350529\pi\)
\(180\) −0.766044 0.642788i −0.0570976 0.0479106i
\(181\) 4.07532 + 3.41960i 0.302916 + 0.254177i 0.781557 0.623834i \(-0.214426\pi\)
−0.478641 + 0.878011i \(0.658870\pi\)
\(182\) −0.286989 0.497079i −0.0212730 0.0368460i
\(183\) −1.59240 + 2.75811i −0.117713 + 0.203885i
\(184\) 3.68479 1.34115i 0.271647 0.0988712i
\(185\) −0.233956 1.32683i −0.0172008 0.0975503i
\(186\) 0.166374 0.943555i 0.0121991 0.0691848i
\(187\) 0.500000 + 0.181985i 0.0365636 + 0.0133081i
\(188\) 6.06805 5.09170i 0.442558 0.371350i
\(189\) 2.53209 0.184182
\(190\) −2.82635 + 3.31839i −0.205045 + 0.240742i
\(191\) 19.2959 1.39620 0.698102 0.715999i \(-0.254028\pi\)
0.698102 + 0.715999i \(0.254028\pi\)
\(192\) −0.766044 + 0.642788i −0.0552845 + 0.0463892i
\(193\) −15.9153 5.79271i −1.14561 0.416969i −0.301675 0.953411i \(-0.597546\pi\)
−0.843937 + 0.536442i \(0.819768\pi\)
\(194\) −0.136812 + 0.775897i −0.00982250 + 0.0557061i
\(195\) −0.0393628 0.223238i −0.00281883 0.0159864i
\(196\) 0.553033 0.201288i 0.0395024 0.0143777i
\(197\) −8.16637 + 14.1446i −0.581830 + 1.00776i 0.413432 + 0.910535i \(0.364330\pi\)
−0.995262 + 0.0972244i \(0.969004\pi\)
\(198\) 0.326352 + 0.565258i 0.0231928 + 0.0401711i
\(199\) 13.7554 + 11.5421i 0.975092 + 0.818199i 0.983342 0.181767i \(-0.0581815\pi\)
−0.00824961 + 0.999966i \(0.502626\pi\)
\(200\) 0.766044 + 0.642788i 0.0541675 + 0.0454519i
\(201\) −0.450837 0.780873i −0.0317996 0.0550785i
\(202\) 4.46451 7.73275i 0.314122 0.544075i
\(203\) −3.54576 + 1.29055i −0.248864 + 0.0905789i
\(204\) −0.141559 0.802823i −0.00991113 0.0562088i
\(205\) 0.805407 4.56769i 0.0562521 0.319021i
\(206\) 1.37299 + 0.499727i 0.0956607 + 0.0348176i
\(207\) −3.00387 + 2.52055i −0.208783 + 0.175190i
\(208\) −0.226682 −0.0157175
\(209\) 2.47431 1.40436i 0.171151 0.0971414i
\(210\) −2.53209 −0.174731
\(211\) 18.1400 15.2212i 1.24881 1.04787i 0.252024 0.967721i \(-0.418904\pi\)
0.996783 0.0801524i \(-0.0255407\pi\)
\(212\) 5.73783 + 2.08840i 0.394076 + 0.143432i
\(213\) −1.60354 + 9.09413i −0.109873 + 0.623120i
\(214\) 1.27332 + 7.22135i 0.0870423 + 0.493641i
\(215\) −1.47906 + 0.538332i −0.100871 + 0.0367139i
\(216\) 0.500000 0.866025i 0.0340207 0.0589256i
\(217\) −1.21301 2.10100i −0.0823446 0.142625i
\(218\) 5.43242 + 4.55834i 0.367930 + 0.308730i
\(219\) −8.30793 6.97118i −0.561398 0.471069i
\(220\) −0.326352 0.565258i −0.0220026 0.0381097i
\(221\) 0.0923963 0.160035i 0.00621525 0.0107651i
\(222\) 1.26604 0.460802i 0.0849713 0.0309270i
\(223\) −0.0132037 0.0748822i −0.000884188 0.00501448i 0.984362 0.176155i \(-0.0563659\pi\)
−0.985247 + 0.171140i \(0.945255\pi\)
\(224\) −0.439693 + 2.49362i −0.0293782 + 0.166612i
\(225\) −0.939693 0.342020i −0.0626462 0.0228013i
\(226\) −11.2686 + 9.45545i −0.749574 + 0.628967i
\(227\) 11.9385 0.792387 0.396193 0.918167i \(-0.370331\pi\)
0.396193 + 0.918167i \(0.370331\pi\)
\(228\) −3.75877 2.20718i −0.248931 0.146174i
\(229\) 17.5303 1.15844 0.579219 0.815172i \(-0.303358\pi\)
0.579219 + 0.815172i \(0.303358\pi\)
\(230\) 3.00387 2.52055i 0.198069 0.166200i
\(231\) 1.55303 + 0.565258i 0.102182 + 0.0371912i
\(232\) −0.258770 + 1.46756i −0.0169891 + 0.0963501i
\(233\) −4.79561 27.1972i −0.314171 1.78175i −0.576833 0.816862i \(-0.695711\pi\)
0.262662 0.964888i \(-0.415400\pi\)
\(234\) 0.213011 0.0775297i 0.0139250 0.00506827i
\(235\) 3.96064 6.86002i 0.258363 0.447499i
\(236\) 1.55303 + 2.68993i 0.101094 + 0.175100i
\(237\) 2.19459 + 1.84148i 0.142554 + 0.119617i
\(238\) −1.58125 1.32683i −0.102497 0.0860055i
\(239\) −10.3525 17.9311i −0.669648 1.15986i −0.978002 0.208593i \(-0.933112\pi\)
0.308354 0.951272i \(-0.400222\pi\)
\(240\) −0.500000 + 0.866025i −0.0322749 + 0.0559017i
\(241\) −12.1766 + 4.43193i −0.784366 + 0.285486i −0.702992 0.711198i \(-0.748153\pi\)
−0.0813742 + 0.996684i \(0.525931\pi\)
\(242\) −1.83615 10.4133i −0.118032 0.669395i
\(243\) −0.173648 + 0.984808i −0.0111395 + 0.0631754i
\(244\) 2.99273 + 1.08926i 0.191590 + 0.0697329i
\(245\) 0.450837 0.378297i 0.0288029 0.0241685i
\(246\) 4.63816 0.295718
\(247\) −0.331100 0.930956i −0.0210674 0.0592353i
\(248\) −0.958111 −0.0608401
\(249\) −6.83615 + 5.73621i −0.433224 + 0.363518i
\(250\) 0.939693 + 0.342020i 0.0594314 + 0.0216313i
\(251\) 1.28359 7.27957i 0.0810192 0.459483i −0.917126 0.398598i \(-0.869497\pi\)
0.998145 0.0608844i \(-0.0193921\pi\)
\(252\) −0.439693 2.49362i −0.0276980 0.157083i
\(253\) −2.40508 + 0.875377i −0.151206 + 0.0550345i
\(254\) 0.0603074 0.104455i 0.00378402 0.00655412i
\(255\) −0.407604 0.705990i −0.0255251 0.0442108i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) 0.476996 + 0.400247i 0.0297542 + 0.0249667i 0.657543 0.753417i \(-0.271596\pi\)
−0.627789 + 0.778383i \(0.716040\pi\)
\(258\) −0.786989 1.36310i −0.0489958 0.0848632i
\(259\) 1.70574 2.95442i 0.105989 0.183579i
\(260\) −0.213011 + 0.0775297i −0.0132104 + 0.00480819i
\(261\) −0.258770 1.46756i −0.0160175 0.0908397i
\(262\) 1.70914 9.69302i 0.105591 0.598837i
\(263\) −3.61974 1.31748i −0.223203 0.0812391i 0.227998 0.973662i \(-0.426782\pi\)
−0.451201 + 0.892422i \(0.649004\pi\)
\(264\) 0.500000 0.419550i 0.0307729 0.0258215i
\(265\) 6.10607 0.375093
\(266\) −10.8833 + 1.83651i −0.667295 + 0.112603i
\(267\) −15.1138 −0.924950
\(268\) −0.690722 + 0.579585i −0.0421926 + 0.0354038i
\(269\) −10.6630 3.88100i −0.650133 0.236629i −0.00416227 0.999991i \(-0.501325\pi\)
−0.645971 + 0.763362i \(0.723547\pi\)
\(270\) 0.173648 0.984808i 0.0105679 0.0599335i
\(271\) −1.76470 10.0081i −0.107198 0.607950i −0.990320 0.138806i \(-0.955674\pi\)
0.883122 0.469144i \(-0.155437\pi\)
\(272\) −0.766044 + 0.278817i −0.0464483 + 0.0169058i
\(273\) 0.286989 0.497079i 0.0173694 0.0300846i
\(274\) 6.86231 + 11.8859i 0.414567 + 0.718052i
\(275\) −0.500000 0.419550i −0.0301511 0.0252998i
\(276\) 3.00387 + 2.52055i 0.180812 + 0.151719i
\(277\) −14.6138 25.3119i −0.878059 1.52084i −0.853468 0.521144i \(-0.825505\pi\)
−0.0245901 0.999698i \(-0.507828\pi\)
\(278\) 8.87346 15.3693i 0.532194 0.921788i
\(279\) 0.900330 0.327693i 0.0539013 0.0196185i
\(280\) 0.439693 + 2.49362i 0.0262767 + 0.149022i
\(281\) 2.86690 16.2590i 0.171025 0.969929i −0.771608 0.636098i \(-0.780547\pi\)
0.942633 0.333831i \(-0.108342\pi\)
\(282\) 7.44356 + 2.70924i 0.443258 + 0.161333i
\(283\) −1.46270 + 1.22735i −0.0869483 + 0.0729583i −0.685226 0.728331i \(-0.740296\pi\)
0.598278 + 0.801289i \(0.295852\pi\)
\(284\) 9.23442 0.547962
\(285\) −4.28699 0.788496i −0.253939 0.0467065i
\(286\) 0.147956 0.00874882
\(287\) 8.99660 7.54904i 0.531052 0.445606i
\(288\) −0.939693 0.342020i −0.0553719 0.0201537i
\(289\) −2.83662 + 16.0873i −0.166860 + 0.946310i
\(290\) 0.258770 + 1.46756i 0.0151955 + 0.0861781i
\(291\) −0.740352 + 0.269466i −0.0434002 + 0.0157964i
\(292\) −5.42262 + 9.39225i −0.317335 + 0.549640i
\(293\) −1.42262 2.46405i −0.0831103 0.143951i 0.821474 0.570246i \(-0.193152\pi\)
−0.904584 + 0.426295i \(0.859819\pi\)
\(294\) 0.450837 + 0.378297i 0.0262933 + 0.0220627i
\(295\) 2.37939 + 1.99654i 0.138533 + 0.116243i
\(296\) −0.673648 1.16679i −0.0391550 0.0678185i
\(297\) −0.326352 + 0.565258i −0.0189369 + 0.0327996i
\(298\) −6.00640 + 2.18615i −0.347941 + 0.126640i
\(299\) 0.154353 + 0.875377i 0.00892644 + 0.0506243i
\(300\) −0.173648 + 0.984808i −0.0100256 + 0.0568579i
\(301\) −3.74510 1.36310i −0.215864 0.0785681i
\(302\) 8.16044 6.84743i 0.469581 0.394025i
\(303\) 8.92902 0.512959
\(304\) −1.52094 + 4.08494i −0.0872322 + 0.234287i
\(305\) 3.18479 0.182361
\(306\) 0.624485 0.524005i 0.0356994 0.0299554i
\(307\) −5.19372 1.89036i −0.296421 0.107888i 0.189529 0.981875i \(-0.439304\pi\)
−0.485950 + 0.873987i \(0.661526\pi\)
\(308\) 0.286989 1.62760i 0.0163527 0.0927409i
\(309\) 0.253718 + 1.43891i 0.0144335 + 0.0818565i
\(310\) −0.900330 + 0.327693i −0.0511353 + 0.0186117i
\(311\) 6.83662 11.8414i 0.387669 0.671463i −0.604466 0.796631i \(-0.706614\pi\)
0.992136 + 0.125168i \(0.0399470\pi\)
\(312\) −0.113341 0.196312i −0.00641666 0.0111140i
\(313\) −22.1348 18.5733i −1.25113 1.04982i −0.996569 0.0827662i \(-0.973625\pi\)
−0.254561 0.967057i \(-0.581931\pi\)
\(314\) −8.74170 7.33515i −0.493322 0.413947i
\(315\) −1.26604 2.19285i −0.0713335 0.123553i
\(316\) 1.43242 2.48102i 0.0805798 0.139568i
\(317\) −0.500000 + 0.181985i −0.0280828 + 0.0102213i −0.356023 0.934477i \(-0.615868\pi\)
0.327941 + 0.944698i \(0.393645\pi\)
\(318\) 1.06031 + 6.01330i 0.0594591 + 0.337209i
\(319\) 0.168900 0.957882i 0.00945661 0.0536311i
\(320\) 0.939693 + 0.342020i 0.0525304 + 0.0191195i
\(321\) −5.61721 + 4.71340i −0.313522 + 0.263076i
\(322\) 9.92902 0.553322
\(323\) −2.26399 2.73881i −0.125971 0.152391i
\(324\) 1.00000 0.0555556
\(325\) −0.173648 + 0.145708i −0.00963227 + 0.00808243i
\(326\) −10.2836 3.74292i −0.569555 0.207301i
\(327\) −1.23143 + 6.98378i −0.0680982 + 0.386204i
\(328\) −0.805407 4.56769i −0.0444712 0.252209i
\(329\) 18.8478 6.86002i 1.03911 0.378205i
\(330\) 0.326352 0.565258i 0.0179651 0.0311164i
\(331\) −7.35117 12.7326i −0.404057 0.699847i 0.590155 0.807290i \(-0.299067\pi\)
−0.994211 + 0.107444i \(0.965733\pi\)
\(332\) 6.83615 + 5.73621i 0.375183 + 0.314816i
\(333\) 1.03209 + 0.866025i 0.0565581 + 0.0474579i
\(334\) 6.13088 + 10.6190i 0.335467 + 0.581046i
\(335\) −0.450837 + 0.780873i −0.0246319 + 0.0426636i
\(336\) −2.37939 + 0.866025i −0.129806 + 0.0472456i
\(337\) −0.101014 0.572881i −0.00550260 0.0312068i 0.981933 0.189230i \(-0.0605991\pi\)
−0.987435 + 0.158023i \(0.949488\pi\)
\(338\) −2.24850 + 12.7519i −0.122302 + 0.693612i
\(339\) −13.8229 5.03114i −0.750759 0.273254i
\(340\) −0.624485 + 0.524005i −0.0338675 + 0.0284182i
\(341\) 0.625362 0.0338653
\(342\) 0.0320889 4.35878i 0.00173517 0.235696i
\(343\) 19.2148 1.03750
\(344\) −1.20574 + 1.01173i −0.0650090 + 0.0545490i
\(345\) 3.68479 + 1.34115i 0.198383 + 0.0722053i
\(346\) −0.0589632 + 0.334397i −0.00316988 + 0.0179773i
\(347\) −5.55391 31.4978i −0.298150 1.69089i −0.654118 0.756392i \(-0.726960\pi\)
0.355969 0.934498i \(-0.384151\pi\)
\(348\) −1.40033 + 0.509678i −0.0750656 + 0.0273216i
\(349\) −8.94491 + 15.4930i −0.478810 + 0.829323i −0.999705 0.0242978i \(-0.992265\pi\)
0.520895 + 0.853621i \(0.325598\pi\)
\(350\) 1.26604 + 2.19285i 0.0676729 + 0.117213i
\(351\) 0.173648 + 0.145708i 0.00926865 + 0.00777732i
\(352\) −0.500000 0.419550i −0.0266501 0.0223621i
\(353\) −0.00774079 0.0134074i −0.000412000 0.000713606i 0.865819 0.500357i \(-0.166798\pi\)
−0.866231 + 0.499643i \(0.833464\pi\)
\(354\) −1.55303 + 2.68993i −0.0825428 + 0.142968i
\(355\) 8.67752 3.15836i 0.460555 0.167628i
\(356\) 2.62449 + 14.8842i 0.139097 + 0.788861i
\(357\) 0.358441 2.03282i 0.0189707 0.107588i
\(358\) −13.7297 4.99719i −0.725636 0.264110i
\(359\) 13.9945 11.7428i 0.738603 0.619762i −0.193859 0.981029i \(-0.562100\pi\)
0.932462 + 0.361268i \(0.117656\pi\)
\(360\) −1.00000 −0.0527046
\(361\) −18.9979 0.279737i −0.999892 0.0147230i
\(362\) 5.31996 0.279611
\(363\) 8.10014 6.79682i 0.425147 0.356741i
\(364\) −0.539363 0.196312i −0.0282703 0.0102895i
\(365\) −1.88326 + 10.6805i −0.0985741 + 0.559042i
\(366\) 0.553033 + 3.13641i 0.0289075 + 0.163943i
\(367\) −8.55690 + 3.11446i −0.446667 + 0.162573i −0.555554 0.831481i \(-0.687494\pi\)
0.108887 + 0.994054i \(0.465271\pi\)
\(368\) 1.96064 3.39592i 0.102205 0.177025i
\(369\) 2.31908 + 4.01676i 0.120726 + 0.209104i
\(370\) −1.03209 0.866025i −0.0536557 0.0450225i
\(371\) 11.8439 + 9.93821i 0.614904 + 0.515966i
\(372\) −0.479055 0.829748i −0.0248379 0.0430205i
\(373\) −0.0243481 + 0.0421721i −0.00126070 + 0.00218359i −0.866655 0.498908i \(-0.833735\pi\)
0.865394 + 0.501091i \(0.167068\pi\)
\(374\) 0.500000 0.181985i 0.0258544 0.00941023i
\(375\) 0.173648 + 0.984808i 0.00896715 + 0.0508553i
\(376\) 1.37551 7.80093i 0.0709368 0.402302i
\(377\) −0.317429 0.115535i −0.0163484 0.00595034i
\(378\) 1.93969 1.62760i 0.0997670 0.0837145i
\(379\) 21.5885 1.10893 0.554464 0.832208i \(-0.312923\pi\)
0.554464 + 0.832208i \(0.312923\pi\)
\(380\) −0.0320889 + 4.35878i −0.00164613 + 0.223601i
\(381\) 0.120615 0.00617928
\(382\) 14.7815 12.4032i 0.756289 0.634602i
\(383\) 4.53462 + 1.65046i 0.231708 + 0.0843348i 0.455265 0.890356i \(-0.349545\pi\)
−0.223557 + 0.974691i \(0.571767\pi\)
\(384\) −0.173648 + 0.984808i −0.00886145 + 0.0502558i
\(385\) −0.286989 1.62760i −0.0146263 0.0829499i
\(386\) −15.9153 + 5.79271i −0.810070 + 0.294841i
\(387\) 0.786989 1.36310i 0.0400049 0.0692905i
\(388\) 0.393933 + 0.682312i 0.0199989 + 0.0346392i
\(389\) 13.6964 + 11.4926i 0.694435 + 0.582700i 0.920184 0.391485i \(-0.128039\pi\)
−0.225749 + 0.974185i \(0.572483\pi\)
\(390\) −0.173648 0.145708i −0.00879302 0.00737822i
\(391\) 1.59833 + 2.76838i 0.0808308 + 0.140003i
\(392\) 0.294263 0.509678i 0.0148625 0.0257426i
\(393\) 9.24897 3.36635i 0.466549 0.169810i
\(394\) 2.83615 + 16.0846i 0.142883 + 0.810331i
\(395\) 0.497474 2.82131i 0.0250306 0.141956i
\(396\) 0.613341 + 0.223238i 0.0308215 + 0.0112181i
\(397\) −25.5692 + 21.4551i −1.28328 + 1.07680i −0.290500 + 0.956875i \(0.593822\pi\)
−0.992783 + 0.119927i \(0.961734\pi\)
\(398\) 17.9564 0.900071
\(399\) −7.03209 8.50692i −0.352045 0.425879i
\(400\) 1.00000 0.0500000
\(401\) 22.1275 18.5672i 1.10499 0.927200i 0.107243 0.994233i \(-0.465798\pi\)
0.997751 + 0.0670332i \(0.0213533\pi\)
\(402\) −0.847296 0.308391i −0.0422593 0.0153811i
\(403\) 0.0377140 0.213887i 0.00187867 0.0106544i
\(404\) −1.55051 8.79336i −0.0771406 0.437486i
\(405\) 0.939693 0.342020i 0.0466937 0.0169951i
\(406\) −1.88666 + 3.26779i −0.0936333 + 0.162178i
\(407\) 0.439693 + 0.761570i 0.0217948 + 0.0377496i
\(408\) −0.624485 0.524005i −0.0309166 0.0259421i
\(409\) 19.3025 + 16.1967i 0.954446 + 0.800875i 0.980041 0.198797i \(-0.0637035\pi\)
−0.0255949 + 0.999672i \(0.508148\pi\)
\(410\) −2.31908 4.01676i −0.114531 0.198374i
\(411\) −6.86231 + 11.8859i −0.338493 + 0.586287i
\(412\) 1.37299 0.499727i 0.0676423 0.0246198i
\(413\) 1.36571 + 7.74535i 0.0672024 + 0.381124i
\(414\) −0.680922 + 3.86170i −0.0334655 + 0.189792i
\(415\) 8.38578 + 3.05217i 0.411642 + 0.149825i
\(416\) −0.173648 + 0.145708i −0.00851380 + 0.00714393i
\(417\) 17.7469 0.869070
\(418\) 0.992726 2.66625i 0.0485558 0.130411i
\(419\) 5.66456 0.276732 0.138366 0.990381i \(-0.455815\pi\)
0.138366 + 0.990381i \(0.455815\pi\)
\(420\) −1.93969 + 1.62760i −0.0946473 + 0.0794185i
\(421\) −22.8542 8.31823i −1.11384 0.405406i −0.281442 0.959578i \(-0.590813\pi\)
−0.832402 + 0.554172i \(0.813035\pi\)
\(422\) 4.11200 23.3203i 0.200169 1.13521i
\(423\) 1.37551 + 7.80093i 0.0668798 + 0.379294i
\(424\) 5.73783 2.08840i 0.278653 0.101422i
\(425\) −0.407604 + 0.705990i −0.0197717 + 0.0342456i
\(426\) 4.61721 + 7.99724i 0.223705 + 0.387468i
\(427\) 6.17752 + 5.18355i 0.298951 + 0.250850i
\(428\) 5.61721 + 4.71340i 0.271518 + 0.227831i
\(429\) 0.0739780 + 0.128134i 0.00357169 + 0.00618635i
\(430\) −0.786989 + 1.36310i −0.0379520 + 0.0657348i
\(431\) −27.2327 + 9.91188i −1.31175 + 0.477438i −0.900806 0.434222i \(-0.857024\pi\)
−0.410945 + 0.911660i \(0.634801\pi\)
\(432\) −0.173648 0.984808i −0.00835465 0.0473816i
\(433\) 1.55556 8.82202i 0.0747554 0.423959i −0.924345 0.381557i \(-0.875388\pi\)
0.999101 0.0424018i \(-0.0135010\pi\)
\(434\) −2.27972 0.829748i −0.109430 0.0398292i
\(435\) −1.14156 + 0.957882i −0.0547336 + 0.0459269i
\(436\) 7.09152 0.339622
\(437\) 16.8105 + 3.09191i 0.804153 + 0.147906i
\(438\) −10.8452 −0.518205
\(439\) −17.9270 + 15.0425i −0.855607 + 0.717939i −0.961017 0.276489i \(-0.910829\pi\)
0.105410 + 0.994429i \(0.466384\pi\)
\(440\) −0.613341 0.223238i −0.0292399 0.0106424i
\(441\) −0.102196 + 0.579585i −0.00486650 + 0.0275993i
\(442\) −0.0320889 0.181985i −0.00152631 0.00865615i
\(443\) 29.5710 10.7630i 1.40496 0.511365i 0.475315 0.879815i \(-0.342334\pi\)
0.929647 + 0.368451i \(0.120112\pi\)
\(444\) 0.673648 1.16679i 0.0319699 0.0553735i
\(445\) 7.55690 + 13.0889i 0.358232 + 0.620475i
\(446\) −0.0582480 0.0488759i −0.00275812 0.00231434i
\(447\) −4.89646 4.10862i −0.231595 0.194331i
\(448\) 1.26604 + 2.19285i 0.0598150 + 0.103603i
\(449\) −6.77110 + 11.7279i −0.319548 + 0.553473i −0.980394 0.197049i \(-0.936864\pi\)
0.660846 + 0.750522i \(0.270198\pi\)
\(450\) −0.939693 + 0.342020i −0.0442975 + 0.0161230i
\(451\) 0.525692 + 2.98135i 0.0247539 + 0.140386i
\(452\) −2.55438 + 14.4866i −0.120148 + 0.681392i
\(453\) 10.0103 + 3.64344i 0.470323 + 0.171184i
\(454\) 9.14543 7.67393i 0.429216 0.360155i
\(455\) −0.573978 −0.0269085
\(456\) −4.29813 + 0.725293i −0.201279 + 0.0339650i
\(457\) −17.9195 −0.838240 −0.419120 0.907931i \(-0.637661\pi\)
−0.419120 + 0.907931i \(0.637661\pi\)
\(458\) 13.4290 11.2683i 0.627497 0.526532i
\(459\) 0.766044 + 0.278817i 0.0357559 + 0.0130141i
\(460\) 0.680922 3.86170i 0.0317482 0.180053i
\(461\) −4.26873 24.2092i −0.198815 1.12753i −0.906881 0.421388i \(-0.861543\pi\)
0.708066 0.706146i \(-0.249568\pi\)
\(462\) 1.55303 0.565258i 0.0722537 0.0262982i
\(463\) −10.9636 + 18.9896i −0.509523 + 0.882520i 0.490416 + 0.871488i \(0.336845\pi\)
−0.999939 + 0.0110315i \(0.996489\pi\)
\(464\) 0.745100 + 1.29055i 0.0345904 + 0.0599123i
\(465\) −0.733956 0.615862i −0.0340364 0.0285599i
\(466\) −21.1557 17.7517i −0.980019 0.822333i
\(467\) −9.57650 16.5870i −0.443148 0.767554i 0.554773 0.832002i \(-0.312805\pi\)
−0.997921 + 0.0644471i \(0.979472\pi\)
\(468\) 0.113341 0.196312i 0.00523918 0.00907453i
\(469\) −2.14543 + 0.780873i −0.0990667 + 0.0360573i
\(470\) −1.37551 7.80093i −0.0634478 0.359830i
\(471\) 1.98158 11.2381i 0.0913065 0.517825i
\(472\) 2.91875 + 1.06234i 0.134346 + 0.0488980i
\(473\) 0.786989 0.660362i 0.0361858 0.0303635i
\(474\) 2.86484 0.131586
\(475\) 1.46064 + 4.10689i 0.0670186 + 0.188437i
\(476\) −2.06418 −0.0946114
\(477\) −4.67752 + 3.92490i −0.214169 + 0.179709i
\(478\) −19.4564 7.08153i −0.889913 0.323902i
\(479\) −1.93464 + 10.9719i −0.0883960 + 0.501318i 0.908176 + 0.418588i \(0.137475\pi\)
−0.996572 + 0.0827300i \(0.973636\pi\)
\(480\) 0.173648 + 0.984808i 0.00792592 + 0.0449501i
\(481\) 0.286989 0.104455i 0.0130856 0.00476276i
\(482\) −6.47906 + 11.2221i −0.295113 + 0.511151i
\(483\) 4.96451 + 8.59878i 0.225893 + 0.391258i
\(484\) −8.10014 6.79682i −0.368188 0.308946i
\(485\) 0.603541 + 0.506431i 0.0274054 + 0.0229958i
\(486\) 0.500000 + 0.866025i 0.0226805 + 0.0392837i
\(487\) −12.1566 + 21.0558i −0.550867 + 0.954130i 0.447345 + 0.894361i \(0.352369\pi\)
−0.998212 + 0.0597682i \(0.980964\pi\)
\(488\) 2.99273 1.08926i 0.135474 0.0493086i
\(489\) −1.90033 10.7773i −0.0859359 0.487367i
\(490\) 0.102196 0.579585i 0.00461676 0.0261830i
\(491\) −21.9008 7.97124i −0.988369 0.359737i −0.203281 0.979121i \(-0.565160\pi\)
−0.785089 + 0.619384i \(0.787383\pi\)
\(492\) 3.55303 2.98135i 0.160183 0.134410i
\(493\) −1.21482 −0.0547128
\(494\) −0.852044 0.500327i −0.0383353 0.0225108i
\(495\) 0.652704 0.0293368
\(496\) −0.733956 + 0.615862i −0.0329556 + 0.0276530i
\(497\) 21.9722 + 7.99724i 0.985590 + 0.358725i
\(498\) −1.54963 + 8.78839i −0.0694406 + 0.393817i
\(499\) 0.187319 + 1.06234i 0.00838554 + 0.0475568i 0.988713 0.149819i \(-0.0478692\pi\)
−0.980328 + 0.197376i \(0.936758\pi\)
\(500\) 0.939693 0.342020i 0.0420243 0.0152956i
\(501\) −6.13088 + 10.6190i −0.273908 + 0.474422i
\(502\) −3.69594 6.40155i −0.164958 0.285715i
\(503\) 26.2631 + 22.0374i 1.17101 + 0.982597i 0.999996 0.00267047i \(-0.000850038\pi\)
0.171018 + 0.985268i \(0.445294\pi\)
\(504\) −1.93969 1.62760i −0.0864008 0.0724989i
\(505\) −4.46451 7.73275i −0.198668 0.344103i
\(506\) −1.27972 + 2.21653i −0.0568903 + 0.0985368i
\(507\) −12.1677 + 4.42869i −0.540387 + 0.196685i
\(508\) −0.0209445 0.118782i −0.000929263 0.00527011i
\(509\) 1.16519 6.60813i 0.0516462 0.292900i −0.948034 0.318168i \(-0.896933\pi\)
0.999681 + 0.0252672i \(0.00804365\pi\)
\(510\) −0.766044 0.278817i −0.0339210 0.0123462i
\(511\) −21.0364 + 17.6517i −0.930597 + 0.780863i
\(512\) 1.00000 0.0441942
\(513\) 3.79086 2.15160i 0.167371 0.0949955i
\(514\) 0.622674 0.0274650
\(515\) 1.11927 0.939180i 0.0493210 0.0413852i
\(516\) −1.47906 0.538332i −0.0651118 0.0236988i
\(517\) −0.897804 + 5.09170i −0.0394854 + 0.223933i
\(518\) −0.592396 3.35965i −0.0260284 0.147614i
\(519\) −0.319078 + 0.116135i −0.0140060 + 0.00509775i
\(520\) −0.113341 + 0.196312i −0.00497032 + 0.00860885i
\(521\) 17.6215 + 30.5214i 0.772014 + 1.33717i 0.936458 + 0.350781i \(0.114084\pi\)
−0.164443 + 0.986387i \(0.552583\pi\)
\(522\) −1.14156 0.957882i −0.0499647 0.0419254i
\(523\) 30.0592 + 25.2226i 1.31440 + 1.10291i 0.987461 + 0.157863i \(0.0504603\pi\)
0.326935 + 0.945047i \(0.393984\pi\)
\(524\) −4.92127 8.52390i −0.214987 0.372368i
\(525\) −1.26604 + 2.19285i −0.0552547 + 0.0957040i
\(526\) −3.61974 + 1.31748i −0.157828 + 0.0574447i
\(527\) −0.135630 0.769193i −0.00590811 0.0335066i
\(528\) 0.113341 0.642788i 0.00493253 0.0279737i
\(529\) 7.16385 + 2.60743i 0.311472 + 0.113366i
\(530\) 4.67752 3.92490i 0.203178 0.170487i
\(531\) −3.10607 −0.134792
\(532\) −7.15657 + 8.40247i −0.310277 + 0.364293i
\(533\) 1.05138 0.0455405
\(534\) −11.5778 + 9.71497i −0.501022 + 0.420408i
\(535\) 6.89053 + 2.50795i 0.297904 + 0.108428i
\(536\) −0.156574 + 0.887975i −0.00676297 + 0.0383547i
\(537\) −2.53714 14.3888i −0.109486 0.620924i
\(538\) −10.6630 + 3.88100i −0.459713 + 0.167322i
\(539\) −0.192066 + 0.332669i −0.00827289 + 0.0143291i
\(540\) −0.500000 0.866025i −0.0215166 0.0372678i
\(541\) −24.5737 20.6198i −1.05651 0.886515i −0.0627444 0.998030i \(-0.519985\pi\)
−0.993763 + 0.111515i \(0.964430\pi\)
\(542\) −7.78493 6.53233i −0.334391 0.280588i
\(543\) 2.65998 + 4.60722i 0.114151 + 0.197715i
\(544\) −0.407604 + 0.705990i −0.0174759 + 0.0302691i
\(545\) 6.66385 2.42544i 0.285448 0.103895i
\(546\) −0.0996702 0.565258i −0.00426549 0.0241908i
\(547\) −7.45770 + 42.2947i −0.318868 + 1.80839i 0.230792 + 0.973003i \(0.425868\pi\)
−0.549660 + 0.835388i \(0.685243\pi\)
\(548\) 12.8969 + 4.69410i 0.550929 + 0.200522i
\(549\) −2.43969 + 2.04715i −0.104124 + 0.0873700i
\(550\) −0.652704 −0.0278314
\(551\) −4.21183 + 4.94507i −0.179430 + 0.210667i
\(552\) 3.92127 0.166901
\(553\) 5.55690 4.66280i 0.236304 0.198282i
\(554\) −27.4650 9.99643i −1.16687 0.424708i
\(555\) 0.233956 1.32683i 0.00993086 0.0563207i
\(556\) −3.08172 17.4773i −0.130694 0.741202i
\(557\) −27.7935 + 10.1160i −1.17765 + 0.428630i −0.855371 0.518015i \(-0.826671\pi\)
−0.322279 + 0.946645i \(0.604449\pi\)
\(558\) 0.479055 0.829748i 0.0202800 0.0351261i
\(559\) −0.178396 0.308991i −0.00754534 0.0130689i
\(560\) 1.93969 + 1.62760i 0.0819670 + 0.0687785i
\(561\) 0.407604 + 0.342020i 0.0172090 + 0.0144401i
\(562\) −8.25490 14.2979i −0.348212 0.603121i
\(563\) −10.3241 + 17.8819i −0.435110 + 0.753633i −0.997305 0.0733721i \(-0.976624\pi\)
0.562194 + 0.827005i \(0.309957\pi\)
\(564\) 7.44356 2.70924i 0.313431 0.114079i
\(565\) 2.55438 + 14.4866i 0.107463 + 0.609456i
\(566\) −0.331566 + 1.88041i −0.0139368 + 0.0790394i
\(567\) 2.37939 + 0.866025i 0.0999248 + 0.0363696i
\(568\) 7.07398 5.93577i 0.296818 0.249059i
\(569\) −8.50030 −0.356351 −0.178176 0.983999i \(-0.557020\pi\)
−0.178176 + 0.983999i \(0.557020\pi\)
\(570\) −3.79086 + 2.15160i −0.158782 + 0.0901206i
\(571\) 4.27900 0.179071 0.0895353 0.995984i \(-0.471462\pi\)
0.0895353 + 0.995984i \(0.471462\pi\)
\(572\) 0.113341 0.0951042i 0.00473902 0.00397651i
\(573\) 18.1322 + 6.59959i 0.757485 + 0.275702i
\(574\) 2.03936 11.5658i 0.0851214 0.482747i
\(575\) −0.680922 3.86170i −0.0283964 0.161044i
\(576\) −0.939693 + 0.342020i −0.0391539 + 0.0142508i
\(577\) −7.31449 + 12.6691i −0.304506 + 0.527420i −0.977151 0.212545i \(-0.931825\pi\)
0.672645 + 0.739965i \(0.265158\pi\)
\(578\) 8.16772 + 14.1469i 0.339732 + 0.588434i
\(579\) −12.9743 10.8867i −0.539194 0.452437i
\(580\) 1.14156 + 0.957882i 0.0474007 + 0.0397739i
\(581\) 11.2981 + 19.5689i 0.468726 + 0.811856i
\(582\) −0.393933 + 0.682312i −0.0163291 + 0.0282828i
\(583\) −3.74510 + 1.36310i −0.155106 + 0.0564540i
\(584\) 1.88326 + 10.6805i 0.0779297 + 0.441961i
\(585\) 0.0393628 0.223238i 0.00162745 0.00922975i
\(586\) −2.67365 0.973128i −0.110447 0.0401996i
\(587\) 9.35432 7.84921i 0.386094 0.323971i −0.428995 0.903307i \(-0.641132\pi\)
0.815089 + 0.579335i \(0.196688\pi\)
\(588\) 0.588526 0.0242704
\(589\) −3.60132 2.11472i −0.148390 0.0871357i
\(590\) 3.10607 0.127875
\(591\) −12.5116 + 10.4985i −0.514659 + 0.431850i
\(592\) −1.26604 0.460802i −0.0520341 0.0189389i
\(593\) 2.61169 14.8116i 0.107249 0.608241i −0.883049 0.469281i \(-0.844513\pi\)
0.990298 0.138960i \(-0.0443759\pi\)
\(594\) 0.113341 + 0.642788i 0.00465043 + 0.0263739i
\(595\) −1.93969 + 0.705990i −0.0795196 + 0.0289428i
\(596\) −3.19594 + 5.53553i −0.130911 + 0.226744i
\(597\) 8.97818 + 15.5507i 0.367452 + 0.636446i
\(598\) 0.680922 + 0.571362i 0.0278450 + 0.0233647i
\(599\) 7.06805 + 5.93080i 0.288793 + 0.242326i 0.775661 0.631149i \(-0.217417\pi\)
−0.486869 + 0.873475i \(0.661861\pi\)
\(600\) 0.500000 + 0.866025i 0.0204124 + 0.0353553i
\(601\) −11.4829 + 19.8890i −0.468398 + 0.811290i −0.999348 0.0361139i \(-0.988502\pi\)
0.530949 + 0.847404i \(0.321835\pi\)
\(602\) −3.74510 + 1.36310i −0.152639 + 0.0555560i
\(603\) −0.156574 0.887975i −0.00637619 0.0361612i
\(604\) 1.84982 10.4909i 0.0752682 0.426867i
\(605\) −9.93629 3.61651i −0.403968 0.147032i
\(606\) 6.84002 5.73946i 0.277857 0.233150i
\(607\) 42.2559 1.71511 0.857557 0.514389i \(-0.171981\pi\)
0.857557 + 0.514389i \(0.171981\pi\)
\(608\) 1.46064 + 4.10689i 0.0592367 + 0.166556i
\(609\) −3.77332 −0.152903
\(610\) 2.43969 2.04715i 0.0987803 0.0828865i
\(611\) 1.68732 + 0.614134i 0.0682616 + 0.0248452i
\(612\) 0.141559 0.802823i 0.00572220 0.0324522i
\(613\) −3.94010 22.3454i −0.159139 0.902524i −0.954903 0.296917i \(-0.904042\pi\)
0.795764 0.605607i \(-0.207070\pi\)
\(614\) −5.19372 + 1.89036i −0.209601 + 0.0762886i
\(615\) 2.31908 4.01676i 0.0935142 0.161971i
\(616\) −0.826352 1.43128i −0.0332947 0.0576680i
\(617\) −4.67680 3.92430i −0.188281 0.157987i 0.543775 0.839231i \(-0.316995\pi\)
−0.732056 + 0.681245i \(0.761439\pi\)
\(618\) 1.11927 + 0.939180i 0.0450237 + 0.0377793i
\(619\) −22.1536 38.3712i −0.890430 1.54227i −0.839361 0.543575i \(-0.817070\pi\)
−0.0510690 0.998695i \(-0.516263\pi\)
\(620\) −0.479055 + 0.829748i −0.0192393 + 0.0333235i
\(621\) −3.68479 + 1.34115i −0.147866 + 0.0538187i
\(622\) −2.37433 13.4655i −0.0952021 0.539918i
\(623\) −6.64543 + 37.6881i −0.266244 + 1.50994i
\(624\) −0.213011 0.0775297i −0.00852727 0.00310367i
\(625\) 0.766044 0.642788i 0.0306418 0.0257115i
\(626\) −28.8949 −1.15487
\(627\) 2.80541 0.473401i 0.112037 0.0189058i
\(628\) −11.4115 −0.455367
\(629\) 0.841367 0.705990i 0.0335475 0.0281497i
\(630\) −2.37939 0.866025i −0.0947970 0.0345033i
\(631\) −8.49232 + 48.1623i −0.338074 + 1.91731i 0.0564082 + 0.998408i \(0.482035\pi\)
−0.394482 + 0.918904i \(0.629076\pi\)
\(632\) −0.497474 2.82131i −0.0197884 0.112226i
\(633\) 22.2520 8.09905i 0.884436 0.321908i
\(634\) −0.266044 + 0.460802i −0.0105660 + 0.0183008i
\(635\) −0.0603074 0.104455i −0.00239323 0.00414519i
\(636\) 4.67752 + 3.92490i 0.185476 + 0.155633i
\(637\) 0.102196 + 0.0857530i 0.00404917 + 0.00339766i
\(638\) −0.486329 0.842347i −0.0192540 0.0333488i
\(639\) −4.61721 + 7.99724i −0.182654 + 0.316366i
\(640\) 0.939693 0.342020i 0.0371446 0.0135195i
\(641\) −3.38326 19.1874i −0.133631 0.757857i −0.975804 0.218649i \(-0.929835\pi\)
0.842173 0.539207i \(-0.181276\pi\)
\(642\) −1.27332 + 7.22135i −0.0502539 + 0.285004i
\(643\) 37.1190 + 13.5102i 1.46383 + 0.532791i 0.946418 0.322945i \(-0.104673\pi\)
0.517413 + 0.855736i \(0.326895\pi\)
\(644\) 7.60607 6.38225i 0.299721 0.251496i
\(645\) −1.57398 −0.0619753
\(646\) −3.49479 0.642788i −0.137500 0.0252901i
\(647\) −8.23947 −0.323927 −0.161964 0.986797i \(-0.551783\pi\)
−0.161964 + 0.986797i \(0.551783\pi\)
\(648\) 0.766044 0.642788i 0.0300931 0.0252511i
\(649\) −1.90508 0.693392i −0.0747808 0.0272180i
\(650\) −0.0393628 + 0.223238i −0.00154394 + 0.00875611i
\(651\) −0.421274 2.38917i −0.0165110 0.0936388i
\(652\) −10.2836 + 3.74292i −0.402736 + 0.146584i
\(653\) 0.0368366 0.0638029i 0.00144153 0.00249680i −0.865304 0.501248i \(-0.832874\pi\)
0.866745 + 0.498751i \(0.166208\pi\)
\(654\) 3.54576 + 6.14144i 0.138650 + 0.240149i
\(655\) −7.53983 6.32667i −0.294606 0.247203i
\(656\) −3.55303 2.98135i −0.138723 0.116402i
\(657\) −5.42262 9.39225i −0.211556 0.366427i
\(658\) 10.0287 17.3702i 0.390959 0.677161i
\(659\) −30.6634 + 11.1606i −1.19448 + 0.434754i −0.861294 0.508107i \(-0.830345\pi\)
−0.333184 + 0.942862i \(0.608123\pi\)
\(660\) −0.113341 0.642788i −0.00441178 0.0250205i
\(661\) 3.53508 20.0484i 0.137499 0.779794i −0.835588 0.549356i \(-0.814873\pi\)
0.973087 0.230438i \(-0.0740159\pi\)
\(662\) −13.8157 5.02849i −0.536961 0.195438i
\(663\) 0.141559 0.118782i 0.00549771 0.00461312i
\(664\) 8.92396 0.346317
\(665\) −3.85117 + 10.3434i −0.149342 + 0.401101i
\(666\) 1.34730 0.0522067
\(667\) 4.47637 3.75612i 0.173326 0.145437i
\(668\) 11.5223 + 4.19377i 0.445811 + 0.162262i
\(669\) 0.0132037 0.0748822i 0.000510486 0.00289511i
\(670\) 0.156574 + 0.887975i 0.00604898 + 0.0343055i
\(671\) −1.95336 + 0.710966i −0.0754087 + 0.0274465i
\(672\) −1.26604 + 2.19285i −0.0488387 + 0.0845912i
\(673\) 13.1471 + 22.7714i 0.506783 + 0.877773i 0.999969 + 0.00784970i \(0.00249866\pi\)
−0.493187 + 0.869924i \(0.664168\pi\)
\(674\) −0.445622 0.373922i −0.0171647 0.0144029i
\(675\) −0.766044 0.642788i −0.0294851 0.0247409i
\(676\) 6.47431 + 11.2138i 0.249012 + 0.431301i
\(677\) −14.0025 + 24.2531i −0.538161 + 0.932122i 0.460842 + 0.887482i \(0.347547\pi\)
−0.999003 + 0.0446398i \(0.985786\pi\)
\(678\) −13.8229 + 5.03114i −0.530867 + 0.193220i
\(679\) 0.346419 + 1.96464i 0.0132943 + 0.0753960i
\(680\) −0.141559 + 0.802823i −0.00542855 + 0.0307868i
\(681\) 11.2185 + 4.08321i 0.429895 + 0.156469i
\(682\) 0.479055 0.401975i 0.0183440 0.0153924i
\(683\) −26.3651 −1.00883 −0.504417 0.863460i \(-0.668293\pi\)
−0.504417 + 0.863460i \(0.668293\pi\)
\(684\) −2.77719 3.35965i −0.106188 0.128459i
\(685\) 13.7246 0.524391
\(686\) 14.7194 12.3510i 0.561990 0.471565i
\(687\) 16.4731 + 5.99573i 0.628489 + 0.228751i
\(688\) −0.273318 + 1.55007i −0.0104202 + 0.0590957i
\(689\) 0.240352 + 1.36310i 0.00915669 + 0.0519302i
\(690\) 3.68479 1.34115i 0.140278 0.0510569i
\(691\) 0.752374 1.30315i 0.0286217 0.0495742i −0.851360 0.524582i \(-0.824222\pi\)
0.879981 + 0.475008i \(0.157555\pi\)
\(692\) 0.169778 + 0.294064i 0.00645398 + 0.0111786i
\(693\) 1.26604 + 1.06234i 0.0480931 + 0.0403549i
\(694\) −24.5009 20.5587i −0.930043 0.780399i
\(695\) −8.87346 15.3693i −0.336589 0.582990i
\(696\) −0.745100 + 1.29055i −0.0282429 + 0.0489182i
\(697\) 3.55303 1.29320i 0.134581 0.0489834i
\(698\) 3.10653 + 17.6180i 0.117584 + 0.666852i
\(699\) 4.79561 27.1972i 0.181387 1.02869i
\(700\) 2.37939 + 0.866025i 0.0899323 + 0.0327327i
\(701\) −2.54988 + 2.13960i −0.0963076 + 0.0808116i −0.689670 0.724124i \(-0.742244\pi\)
0.593363 + 0.804935i \(0.297800\pi\)
\(702\) 0.226682 0.00855555
\(703\) 0.0432332 5.87257i 0.00163057 0.221488i
\(704\) −0.652704 −0.0245997
\(705\) 6.06805 5.09170i 0.228536 0.191764i
\(706\) −0.0145479 0.00529501i −0.000547518 0.000199280i
\(707\) 3.92602 22.2656i 0.147653 0.837383i
\(708\) 0.539363 + 3.05888i 0.0202705 + 0.114960i
\(709\) 42.1117 15.3274i 1.58154 0.575633i 0.606002 0.795463i \(-0.292772\pi\)
0.975538 + 0.219830i \(0.0705502\pi\)
\(710\) 4.61721 7.99724i 0.173281 0.300131i
\(711\) 1.43242 + 2.48102i 0.0537199 + 0.0930456i
\(712\) 11.5778 + 9.71497i 0.433898 + 0.364084i
\(713\) 2.87804 + 2.41496i 0.107783 + 0.0904411i
\(714\) −1.03209 1.78763i −0.0386250 0.0669004i
\(715\) 0.0739780 0.128134i 0.00276662 0.00479192i
\(716\) −13.7297 + 4.99719i −0.513102 + 0.186754i
\(717\) −3.59539 20.3905i −0.134272 0.761496i
\(718\) 3.17230 17.9910i 0.118389 0.671419i
\(719\) −41.7533 15.1970i −1.55714 0.566751i −0.587058 0.809545i \(-0.699714\pi\)
−0.970078 + 0.242794i \(0.921936\pi\)
\(720\) −0.766044 + 0.642788i −0.0285488 + 0.0239553i
\(721\) 3.69965 0.137782
\(722\) −14.7331 + 11.9973i −0.548308 + 0.446495i
\(723\) −12.9581 −0.481917
\(724\) 4.07532 3.41960i 0.151458 0.127088i
\(725\) 1.40033 + 0.509678i 0.0520069 + 0.0189290i
\(726\) 1.83615 10.4133i 0.0681460 0.386475i
\(727\) 1.49676 + 8.48854i 0.0555117 + 0.314823i 0.999902 0.0140043i \(-0.00445786\pi\)
−0.944390 + 0.328827i \(0.893347\pi\)
\(728\) −0.539363 + 0.196312i −0.0199901 + 0.00727581i
\(729\) −0.500000 + 0.866025i −0.0185185 + 0.0320750i
\(730\) 5.42262 + 9.39225i 0.200700 + 0.347623i
\(731\) −0.982926 0.824773i −0.0363548 0.0305053i
\(732\) 2.43969 + 2.04715i 0.0901736 + 0.0756647i
\(733\) 2.12495 + 3.68052i 0.0784869 + 0.135943i 0.902597 0.430486i \(-0.141658\pi\)
−0.824110 + 0.566429i \(0.808324\pi\)
\(734\) −4.55303 + 7.88609i −0.168056 + 0.291081i
\(735\) 0.553033 0.201288i 0.0203989 0.00742461i
\(736\) −0.680922 3.86170i −0.0250991 0.142344i
\(737\) 0.102196 0.579585i 0.00376445 0.0213493i
\(738\) 4.35844 + 1.58634i 0.160436 + 0.0583941i
\(739\) −5.48474 + 4.60224i −0.201759 + 0.169296i −0.738069 0.674725i \(-0.764262\pi\)
0.536310 + 0.844021i \(0.319818\pi\)
\(740\) −1.34730 −0.0495276
\(741\) 0.00727396 0.988055i 0.000267216 0.0362971i
\(742\) 15.4611 0.567595
\(743\) −12.8136 + 10.7519i −0.470086 + 0.394449i −0.846826 0.531870i \(-0.821489\pi\)
0.376740 + 0.926319i \(0.377045\pi\)
\(744\) −0.900330 0.327693i −0.0330077 0.0120138i
\(745\) −1.10994 + 6.29477i −0.0406650 + 0.230622i
\(746\) 0.00845601 + 0.0479564i 0.000309596 + 0.00175581i
\(747\) −8.38578 + 3.05217i −0.306820 + 0.111673i
\(748\) 0.266044 0.460802i 0.00972755 0.0168486i
\(749\) 9.28359 + 16.0796i 0.339215 + 0.587537i
\(750\) 0.766044 + 0.642788i 0.0279720 + 0.0234713i
\(751\) 0.611281 + 0.512926i 0.0223060 + 0.0187169i 0.653872 0.756605i \(-0.273143\pi\)
−0.631566 + 0.775322i \(0.717588\pi\)
\(752\) −3.96064 6.86002i −0.144430 0.250159i
\(753\) 3.69594 6.40155i 0.134687 0.233285i
\(754\) −0.317429 + 0.115535i −0.0115601 + 0.00420753i
\(755\) −1.84982 10.4909i −0.0673219 0.381802i
\(756\) 0.439693 2.49362i 0.0159915 0.0906921i
\(757\) 19.3109 + 7.02860i 0.701868 + 0.255459i 0.668208 0.743974i \(-0.267062\pi\)
0.0336595 + 0.999433i \(0.489284\pi\)
\(758\) 16.5378 13.8768i 0.600679 0.504029i
\(759\) −2.55943 −0.0929014
\(760\) 2.77719 + 3.35965i 0.100739 + 0.121867i
\(761\) 17.7110 0.642024 0.321012 0.947075i \(-0.395977\pi\)
0.321012 + 0.947075i \(0.395977\pi\)
\(762\) 0.0923963 0.0775297i 0.00334716 0.00280860i
\(763\) 16.8735 + 6.14144i 0.610860 + 0.222335i
\(764\) 3.35070 19.0028i 0.121224 0.687496i
\(765\) −0.141559 0.802823i −0.00511809 0.0290261i
\(766\) 4.53462 1.65046i 0.163842 0.0596337i
\(767\) −0.352044 + 0.609758i −0.0127116 + 0.0220171i
\(768\) 0.500000 + 0.866025i 0.0180422 + 0.0312500i
\(769\) 6.04891 + 5.07564i 0.218129 + 0.183032i 0.745304 0.666725i \(-0.232304\pi\)
−0.527175 + 0.849757i \(0.676749\pi\)
\(770\) −1.26604 1.06234i −0.0456251 0.0382840i
\(771\) 0.311337 + 0.539252i 0.0112125 + 0.0194207i
\(772\) −8.46838 + 14.6677i −0.304784 + 0.527901i
\(773\) 2.37299 0.863697i 0.0853505 0.0310650i −0.298992 0.954256i \(-0.596650\pi\)
0.384342 + 0.923191i \(0.374428\pi\)
\(774\) −0.273318 1.55007i −0.00982423 0.0557160i
\(775\) −0.166374 + 0.943555i −0.00597634 + 0.0338935i
\(776\) 0.740352 + 0.269466i 0.0265771 + 0.00967327i
\(777\) 2.61334 2.19285i 0.0937531 0.0786682i
\(778\) 17.8794 0.641007
\(779\) 7.05438 18.9466i 0.252749 0.678832i
\(780\) −0.226682 −0.00811650
\(781\) −4.61721 + 3.87430i −0.165217 + 0.138633i
\(782\) 3.00387 + 1.09332i 0.107418 + 0.0390970i
\(783\) 0.258770 1.46756i 0.00924770 0.0524463i
\(784\) −0.102196 0.579585i −0.00364987 0.0206995i
\(785\) −10.7233 + 3.90295i −0.382730 + 0.139302i
\(786\) 4.92127 8.52390i 0.175536 0.304037i
\(787\) 1.14883 + 1.98984i 0.0409515 + 0.0709300i 0.885775 0.464116i \(-0.153628\pi\)
−0.844823 + 0.535046i \(0.820294\pi\)
\(788\) 12.5116 + 10.4985i 0.445708 + 0.373993i
\(789\) −2.95084 2.47605i −0.105053 0.0881496i
\(790\) −1.43242 2.48102i −0.0509632 0.0882708i
\(791\) −18.6236 + 32.2570i −0.662179 + 1.14693i
\(792\) 0.613341 0.223238i 0.0217941 0.00793241i
\(793\) 0.125362 + 0.710966i 0.00445175 + 0.0252471i
\(794\) −5.79607 + 32.8712i −0.205695 + 1.16655i
\(795\) 5.73783 + 2.08840i 0.203500 + 0.0740678i
\(796\) 13.7554 11.5421i 0.487546 0.409100i
\(797\) −6.78013 −0.240164 −0.120082 0.992764i \(-0.538316\pi\)
−0.120082 + 0.992764i \(0.538316\pi\)
\(798\) −10.8550 1.99654i −0.384264 0.0706768i
\(799\) 6.45748 0.228449
\(800\) 0.766044 0.642788i 0.0270838 0.0227260i
\(801\) −14.2023 5.16923i −0.501815 0.182646i
\(802\) 5.01589 28.4465i 0.177117 1.00448i
\(803\) −1.22921 6.97118i −0.0433778 0.246008i
\(804\) −0.847296 + 0.308391i −0.0298818 + 0.0108761i
\(805\) 4.96451 8.59878i 0.174976 0.303067i
\(806\) −0.108593 0.188089i −0.00382503 0.00662514i
\(807\) −8.69253 7.29390i −0.305992 0.256757i
\(808\) −6.84002 5.73946i −0.240631 0.201914i
\(809\) 8.21823 + 14.2344i 0.288937 + 0.500454i 0.973556 0.228447i \(-0.0733647\pi\)
−0.684619 + 0.728901i \(0.740031\pi\)
\(810\) 0.500000 0.866025i 0.0175682 0.0304290i
\(811\) 29.1758 10.6191i 1.02450 0.372887i 0.225516 0.974240i \(-0.427593\pi\)
0.798984 + 0.601352i \(0.205371\pi\)
\(812\) 0.655230 + 3.71599i 0.0229941 + 0.130406i
\(813\) 1.76470 10.0081i 0.0618907 0.351000i
\(814\) 0.826352 + 0.300767i 0.0289636 + 0.0105419i
\(815\) −8.38326 + 7.03439i −0.293653 + 0.246404i
\(816\) −0.815207 −0.0285380
\(817\) −6.76517 + 1.14160i −0.236683 + 0.0399394i
\(818\) 25.1976 0.881013
\(819\) 0.439693 0.368946i 0.0153641 0.0128920i
\(820\) −4.35844 1.58634i −0.152203 0.0553975i
\(821\) 5.28317 29.9624i 0.184384 1.04569i −0.742360 0.670001i \(-0.766294\pi\)
0.926744 0.375693i \(-0.122595\pi\)
\(822\) 2.38326 + 13.5161i 0.0831256 + 0.471429i
\(823\) 28.8273 10.4923i 1.00486 0.365738i 0.213401 0.976965i \(-0.431546\pi\)
0.791455 + 0.611227i \(0.209324\pi\)
\(824\) 0.730552 1.26535i 0.0254500 0.0440807i
\(825\) −0.326352 0.565258i −0.0113621 0.0196798i
\(826\) 6.02481 + 5.05542i 0.209630 + 0.175901i
\(827\) −23.2683 19.5244i −0.809119 0.678931i 0.141278 0.989970i \(-0.454879\pi\)
−0.950397 + 0.311039i \(0.899323\pi\)
\(828\) 1.96064 + 3.39592i 0.0681369 + 0.118016i
\(829\) 0.687786 1.19128i 0.0238878 0.0413748i −0.853834 0.520545i \(-0.825729\pi\)
0.877722 + 0.479170i \(0.159062\pi\)
\(830\) 8.38578 3.05217i 0.291075 0.105943i
\(831\) −5.07532 28.7836i −0.176061 0.998491i
\(832\) −0.0393628 + 0.223238i −0.00136466 + 0.00773938i
\(833\) 0.450837 + 0.164091i 0.0156206 + 0.00568542i
\(834\) 13.5949 11.4075i 0.470754 0.395009i
\(835\) 12.2618 0.424336
\(836\) −0.953363 2.68058i −0.0329728 0.0927099i
\(837\) 0.958111 0.0331172
\(838\) 4.33931 3.64111i 0.149899 0.125780i
\(839\) −19.9577 7.26401i −0.689016 0.250781i −0.0263023 0.999654i \(-0.508373\pi\)
−0.662714 + 0.748873i \(0.730595\pi\)
\(840\) −0.439693 + 2.49362i −0.0151708 + 0.0860381i
\(841\) −4.65018 26.3725i −0.160351 0.909395i
\(842\) −22.8542 + 8.31823i −0.787606 + 0.286665i
\(843\) 8.25490 14.2979i 0.284314 0.492446i
\(844\) −11.8400 20.5075i −0.407550 0.705898i
\(845\) 9.91921 + 8.32321i 0.341231 + 0.286327i
\(846\) 6.06805 + 5.09170i 0.208624 + 0.175056i
\(847\) −13.3871 23.1872i −0.459987 0.796721i
\(848\) 3.05303 5.28801i 0.104842 0.181591i
\(849\) −1.79426 + 0.653058i −0.0615789 + 0.0224129i
\(850\) 0.141559 + 0.802823i 0.00485544 + 0.0275366i
\(851\) −0.917404 + 5.20286i −0.0314482 + 0.178352i
\(852\) 8.67752 + 3.15836i 0.297287 + 0.108204i
\(853\) 24.1728 20.2834i 0.827660 0.694489i −0.127093 0.991891i \(-0.540565\pi\)
0.954752 + 0.297402i \(0.0961201\pi\)
\(854\) 8.06418 0.275950
\(855\) −3.75877 2.20718i −0.128547 0.0754840i
\(856\) 7.33275 0.250628
\(857\) 32.1937 27.0137i 1.09972 0.922772i 0.102310 0.994753i \(-0.467377\pi\)
0.997406 + 0.0719809i \(0.0229321\pi\)
\(858\) 0.139033 + 0.0506039i 0.00474651 + 0.00172759i
\(859\) 3.95084 22.4063i 0.134801 0.764493i −0.840197 0.542281i \(-0.817561\pi\)
0.974998 0.222213i \(-0.0713279\pi\)
\(860\) 0.273318 + 1.55007i 0.00932008 + 0.0528568i
\(861\) 11.0360 4.01676i 0.376104 0.136891i
\(862\) −14.4902 + 25.0978i −0.493538 + 0.854833i
\(863\) 6.04189 + 10.4649i 0.205668 + 0.356228i 0.950345 0.311197i \(-0.100730\pi\)
−0.744677 + 0.667425i \(0.767397\pi\)
\(864\) −0.766044 0.642788i −0.0260614 0.0218681i
\(865\) 0.260115 + 0.218262i 0.00884416 + 0.00742113i
\(866\) −4.47906 7.75795i −0.152205 0.263626i
\(867\) −8.16772 + 14.1469i −0.277390 + 0.480454i
\(868\) −2.27972 + 0.829748i −0.0773786 + 0.0281635i
\(869\) 0.324703 + 1.84148i 0.0110148 + 0.0624680i
\(870\) −0.258770 + 1.46756i −0.00877314 + 0.0497550i
\(871\) −0.192066 0.0699065i −0.00650792 0.00236869i
\(872\) 5.43242 4.55834i 0.183965 0.154365i
\(873\) −0.787866 −0.0266652
\(874\) 14.8650 8.43702i 0.502816 0.285386i
\(875\) 2.53209 0.0856002
\(876\) −8.30793 + 6.97118i −0.280699 + 0.235534i
\(877\) 35.4487 + 12.9023i 1.19702 + 0.435678i 0.862182 0.506599i \(-0.169097\pi\)
0.334835 + 0.942277i \(0.391320\pi\)
\(878\) −4.06371 + 23.0465i −0.137144 + 0.777780i
\(879\) −0.494070 2.80201i −0.0166646 0.0945095i
\(880\) −0.613341 + 0.223238i −0.0206757 + 0.00752534i
\(881\) −2.39899 + 4.15516i −0.0808239 + 0.139991i −0.903604 0.428369i \(-0.859088\pi\)
0.822780 + 0.568360i \(0.192422\pi\)
\(882\) 0.294263 + 0.509678i 0.00990835 + 0.0171618i
\(883\) −40.8489 34.2763i −1.37468 1.15349i −0.971135 0.238529i \(-0.923335\pi\)
−0.403541 0.914962i \(-0.632221\pi\)
\(884\) −0.141559 0.118782i −0.00476115 0.00399508i
\(885\) 1.55303 + 2.68993i 0.0522046 + 0.0904211i
\(886\) 15.7344 27.2528i 0.528608 0.915576i
\(887\) 18.6582 6.79104i 0.626482 0.228021i −0.00921749 0.999958i \(-0.502934\pi\)
0.635699 + 0.771937i \(0.280712\pi\)
\(888\) −0.233956 1.32683i −0.00785103 0.0445254i
\(889\) 0.0530334 0.300767i 0.00177868 0.0100874i
\(890\) 14.2023 + 5.16923i 0.476063 + 0.173273i
\(891\) −0.500000 + 0.419550i −0.0167506 + 0.0140554i
\(892\) −0.0760373 −0.00254592
\(893\) 22.3883 26.2859i 0.749196 0.879624i
\(894\) −6.39187 −0.213776
\(895\) −11.1925 + 9.39165i −0.374125 + 0.313928i
\(896\) 2.37939 + 0.866025i 0.0794897 + 0.0289319i
\(897\) −0.154353 + 0.875377i −0.00515368 + 0.0292280i
\(898\) 2.35158 + 13.3365i 0.0784731 + 0.445043i
\(899\) −1.34167 + 0.488328i −0.0447472 + 0.0162867i
\(900\) −0.500000 + 0.866025i −0.0166667 + 0.0288675i
\(901\) 2.48886 + 4.31082i 0.0829158 + 0.143614i
\(902\) 2.31908 + 1.94594i 0.0772168 + 0.0647926i
\(903\) −3.05303 2.56180i −0.101599 0.0852513i
\(904\) 7.35504 + 12.7393i 0.244625 + 0.423703i
\(905\) 2.65998 4.60722i 0.0884206 0.153149i
\(906\) 10.0103 3.64344i 0.332569 0.121045i
\(907\) −7.89693 44.7857i −0.262213 1.48708i −0.776855 0.629679i \(-0.783186\pi\)
0.514642 0.857405i \(-0.327925\pi\)
\(908\) 2.07310 11.7571i 0.0687983 0.390174i
\(909\) 8.39053 + 3.05390i 0.278296 + 0.101292i
\(910\) −0.439693 + 0.368946i −0.0145757 + 0.0122304i
\(911\) −33.7033 −1.11664 −0.558320 0.829626i \(-0.688554\pi\)
−0.558320 + 0.829626i \(0.688554\pi\)
\(912\) −2.82635 + 3.31839i −0.0935899 + 0.109883i
\(913\) −5.82470 −0.192770
\(914\) −13.7271 + 11.5184i −0.454054 + 0.380996i
\(915\) 2.99273 + 1.08926i 0.0989365 + 0.0360099i
\(916\) 3.04411 17.2640i 0.100580 0.570419i
\(917\) −4.32770 24.5436i −0.142913 0.810501i
\(918\) 0.766044 0.278817i 0.0252832 0.00920234i
\(919\) 7.00253 12.1287i 0.230992 0.400090i −0.727108 0.686523i \(-0.759136\pi\)
0.958100 + 0.286433i \(0.0924695\pi\)
\(920\) −1.96064 3.39592i −0.0646403 0.111960i
\(921\) −4.23396 3.55271i −0.139514 0.117066i
\(922\) −18.8314 15.8014i −0.620179 0.520392i
\(923\) 1.04664 + 1.81283i 0.0344505 + 0.0596700i
\(924\) 0.826352 1.43128i 0.0271850 0.0470858i
\(925\) −1.26604 + 0.460802i −0.0416273 + 0.0151511i
\(926\) 3.80763 + 21.5941i 0.125126 + 0.709627i
\(927\) −0.253718 + 1.43891i −0.00833319 + 0.0472599i
\(928\) 1.40033 + 0.509678i 0.0459681 + 0.0167310i
\(929\) 28.5815 23.9827i 0.937728 0.786847i −0.0394608 0.999221i \(-0.512564\pi\)
0.977188 + 0.212374i \(0.0681196\pi\)
\(930\) −0.958111 −0.0314177
\(931\) 2.23102 1.26627i 0.0731187 0.0415004i
\(932\) −27.6168 −0.904618
\(933\) 10.4743 8.78899i 0.342913 0.287739i
\(934\) −17.9979 6.55071i −0.588911 0.214346i
\(935\) 0.0923963 0.524005i 0.00302168 0.0171368i
\(936\) −0.0393628 0.223238i −0.00128661 0.00729676i
\(937\) 14.2258 5.17777i 0.464737 0.169150i −0.0990299 0.995084i \(-0.531574\pi\)
0.563767 + 0.825934i \(0.309352\pi\)
\(938\) −1.14156 + 1.97724i −0.0372732 + 0.0645591i
\(939\) −14.4474 25.0237i −0.471474 0.816617i
\(940\) −6.06805 5.09170i −0.197918 0.166073i
\(941\) 16.6009 + 13.9298i 0.541172 + 0.454097i 0.871939 0.489615i \(-0.162863\pi\)
−0.330766 + 0.943713i \(0.607307\pi\)
\(942\) −5.70574 9.88263i −0.185903 0.321993i
\(943\) −9.09374 + 15.7508i −0.296133 + 0.512917i
\(944\) 2.91875 1.06234i 0.0949972 0.0345761i
\(945\) −0.439693 2.49362i −0.0143032 0.0811175i
\(946\) 0.178396 1.01173i 0.00580015 0.0328943i
\(947\) −22.9748 8.36213i −0.746580 0.271733i −0.0594140 0.998233i \(-0.518923\pi\)
−0.687166 + 0.726501i \(0.741145\pi\)
\(948\) 2.19459 1.84148i 0.0712771 0.0598086i
\(949\) −2.45842 −0.0798035
\(950\) 3.75877 + 2.20718i 0.121951 + 0.0716104i
\(951\) −0.532089 −0.0172542
\(952\) −1.58125 + 1.32683i −0.0512487 + 0.0430027i
\(953\) −40.9013 14.8868i −1.32492 0.482232i −0.419890 0.907575i \(-0.637931\pi\)
−0.905032 + 0.425343i \(0.860153\pi\)
\(954\) −1.06031 + 6.01330i −0.0343287 + 0.194688i
\(955\) −3.35070 19.0028i −0.108426 0.614915i
\(956\) −19.4564 + 7.08153i −0.629264 + 0.229033i
\(957\) 0.486329 0.842347i 0.0157208 0.0272292i
\(958\) 5.57057 + 9.64852i 0.179977 + 0.311729i
\(959\) 26.6215 + 22.3381i 0.859655 + 0.721336i
\(960\) 0.766044 + 0.642788i 0.0247240 + 0.0207459i
\(961\) 15.0410 + 26.0518i 0.485194 + 0.840381i
\(962\) 0.152704 0.264490i 0.00492336 0.00852752i
\(963\) −6.89053 + 2.50795i −0.222044 + 0.0808175i
\(964\) 2.25015 + 12.7612i 0.0724725 + 0.411012i
\(965\) −2.94104 + 16.6794i −0.0946753 + 0.536930i
\(966\) 9.33022 + 3.39592i 0.300195 + 0.109262i
\(967\) −7.13223 + 5.98465i −0.229357 + 0.192453i −0.750223 0.661185i \(-0.770054\pi\)
0.520866 + 0.853639i \(0.325609\pi\)
\(968\) −10.5740 −0.339861
\(969\) −1.19072 3.34797i −0.0382515 0.107552i
\(970\) 0.787866 0.0252969
\(971\) 7.09555 5.95387i 0.227707 0.191069i −0.521795 0.853071i \(-0.674737\pi\)
0.749502 + 0.662002i \(0.230293\pi\)
\(972\) 0.939693 + 0.342020i 0.0301407 + 0.0109703i
\(973\) 7.80319 44.2541i 0.250159 1.41872i
\(974\) 4.22193 + 23.9438i 0.135279 + 0.767208i
\(975\) −0.213011 + 0.0775297i −0.00682181 + 0.00248294i
\(976\) 1.59240 2.75811i 0.0509714 0.0882850i
\(977\) 8.73009 + 15.1210i 0.279300 + 0.483762i 0.971211 0.238221i \(-0.0765642\pi\)
−0.691911 + 0.721983i \(0.743231\pi\)
\(978\) −8.38326 7.03439i −0.268067 0.224935i
\(979\) −7.55690 6.34100i −0.241520 0.202659i
\(980\) −0.294263 0.509678i −0.00939988 0.0162811i
\(981\) −3.54576 + 6.14144i −0.113207 + 0.196081i
\(982\) −21.9008 + 7.97124i −0.698883 + 0.254372i
\(983\) 5.22297 + 29.6210i 0.166587 + 0.944762i 0.947413 + 0.320013i \(0.103687\pi\)
−0.780826 + 0.624748i \(0.785202\pi\)
\(984\) 0.805407 4.56769i 0.0256754 0.145613i
\(985\) 15.3478 + 5.58613i 0.489020 + 0.177989i
\(986\) −0.930608 + 0.780873i −0.0296366 + 0.0248680i
\(987\) 20.0574 0.638433
\(988\) −0.974308 + 0.164411i −0.0309969 + 0.00523060i
\(989\) 6.17200 0.196258
\(990\) 0.500000 0.419550i 0.0158910 0.0133342i
\(991\) −42.7798 15.5706i −1.35894 0.494615i −0.443216 0.896415i \(-0.646163\pi\)
−0.915728 + 0.401799i \(0.868385\pi\)
\(992\) −0.166374 + 0.943555i −0.00528239 + 0.0299579i
\(993\) −2.55303 14.4790i −0.0810181 0.459476i
\(994\) 21.9722 7.99724i 0.696917 0.253657i
\(995\) 8.97818 15.5507i 0.284627 0.492989i
\(996\) 4.46198 + 7.72838i 0.141383 + 0.244883i
\(997\) −34.8057 29.2055i −1.10231 0.924946i −0.104730 0.994501i \(-0.533398\pi\)
−0.997578 + 0.0695545i \(0.977842\pi\)
\(998\) 0.826352 + 0.693392i 0.0261577 + 0.0219489i
\(999\) 0.673648 + 1.16679i 0.0213133 + 0.0369157i
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 570.2.u.e.481.1 yes 6
19.16 even 9 inner 570.2.u.e.301.1 6
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
570.2.u.e.301.1 6 19.16 even 9 inner
570.2.u.e.481.1 yes 6 1.1 even 1 trivial