Properties

Label 570.2.u.i.541.1
Level $570$
Weight $2$
Character 570.541
Analytic conductor $4.551$
Analytic rank $0$
Dimension $12$
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: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} + \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{12} + 24x^{10} + 216x^{8} + 905x^{6} + 1770x^{4} + 1395x^{2} + 361 \) 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 541.1
Root \(0.728740i\) of defining polynomial
Character \(\chi\) \(=\) 570.541
Dual form 570.2.u.i.511.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.173648 + 0.984808i) q^{2} +(0.766044 - 0.642788i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.939693 - 0.342020i) q^{5} +(0.766044 + 0.642788i) q^{6} +(-1.21767 + 2.10906i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.173648 - 0.984808i) q^{9} +O(q^{10})\) \(q+(0.173648 + 0.984808i) q^{2} +(0.766044 - 0.642788i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.939693 - 0.342020i) q^{5} +(0.766044 + 0.642788i) q^{6} +(-1.21767 + 2.10906i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.173648 - 0.984808i) q^{9} +(0.173648 - 0.984808i) q^{10} +(0.983713 + 1.70384i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(3.82056 + 3.20583i) q^{13} +(-2.28847 - 0.832934i) q^{14} +(-0.939693 + 0.342020i) q^{15} +(0.766044 - 0.642788i) q^{16} +(0.779489 + 4.42070i) q^{17} +1.00000 q^{18} +(-2.14738 + 3.79325i) q^{19} +1.00000 q^{20} +(0.422892 + 2.39834i) q^{21} +(-1.50714 + 1.26464i) q^{22} +(1.62113 - 0.590043i) q^{23} +(-0.939693 - 0.342020i) q^{24} +(0.766044 + 0.642788i) q^{25} +(-2.49369 + 4.31920i) q^{26} +(-0.500000 - 0.866025i) q^{27} +(0.422892 - 2.39834i) q^{28} +(0.0965400 - 0.547506i) q^{29} +(-0.500000 - 0.866025i) q^{30} +(-2.42588 + 4.20175i) q^{31} +(0.766044 + 0.642788i) q^{32} +(1.84878 + 0.672899i) q^{33} +(-4.21818 + 1.53529i) q^{34} +(1.86558 - 1.56540i) q^{35} +(0.173648 + 0.984808i) q^{36} -1.63440 q^{37} +(-4.10851 - 1.45607i) q^{38} +4.98738 q^{39} +(0.173648 + 0.984808i) q^{40} +(2.99752 - 2.51522i) q^{41} +(-2.28847 + 0.832934i) q^{42} +(2.11766 + 0.770766i) q^{43} +(-1.50714 - 1.26464i) q^{44} +(-0.500000 + 0.866025i) q^{45} +(0.862584 + 1.49404i) q^{46} +(1.19477 - 6.77588i) q^{47} +(0.173648 - 0.984808i) q^{48} +(0.534567 + 0.925897i) q^{49} +(-0.500000 + 0.866025i) q^{50} +(3.43869 + 2.88541i) q^{51} +(-4.68661 - 1.70579i) q^{52} +(1.31631 - 0.479098i) q^{53} +(0.766044 - 0.642788i) q^{54} +(-0.341640 - 1.93754i) q^{55} +2.43534 q^{56} +(0.793264 + 4.28611i) q^{57} +0.555952 q^{58} +(-1.61529 - 9.16079i) q^{59} +(0.766044 - 0.642788i) q^{60} +(-1.47744 + 0.537743i) q^{61} +(-4.55917 - 1.65940i) q^{62} +(1.86558 + 1.56540i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-2.49369 - 4.31920i) q^{65} +(-0.341640 + 1.93754i) q^{66} +(-1.06199 + 6.02283i) q^{67} +(-2.24445 - 3.88750i) q^{68} +(0.862584 - 1.49404i) q^{69} +(1.86558 + 1.56540i) q^{70} +(-4.04820 - 1.47343i) q^{71} +(-0.939693 + 0.342020i) q^{72} +(2.44982 - 2.05564i) q^{73} +(-0.283811 - 1.60957i) q^{74} +1.00000 q^{75} +(0.720511 - 4.29894i) q^{76} -4.79134 q^{77} +(0.866050 + 4.91161i) q^{78} +(-6.63273 + 5.56552i) q^{79} +(-0.939693 + 0.342020i) q^{80} +(-0.939693 - 0.342020i) q^{81} +(2.99752 + 2.51522i) q^{82} +(7.19392 - 12.4602i) q^{83} +(-1.21767 - 2.10906i) q^{84} +(0.779489 - 4.42070i) q^{85} +(-0.391328 + 2.21933i) q^{86} +(-0.277976 - 0.481468i) q^{87} +(0.983713 - 1.70384i) q^{88} +(-1.72329 - 1.44601i) q^{89} +(-0.939693 - 0.342020i) q^{90} +(-11.4135 + 4.15416i) q^{91} +(-1.32156 + 1.10892i) q^{92} +(0.842501 + 4.77806i) q^{93} +6.88041 q^{94} +(3.31525 - 2.83004i) q^{95} +1.00000 q^{96} +(-1.39578 - 7.91585i) q^{97} +(-0.819004 + 0.687226i) q^{98} +(1.84878 - 0.672899i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 3 q^{7} - 6 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 3 q^{7} - 6 q^{8} - 9 q^{11} - 6 q^{12} - 3 q^{13} + 3 q^{14} + 9 q^{17} + 12 q^{18} - 3 q^{19} + 12 q^{20} + 3 q^{21} - 6 q^{22} + 12 q^{23} - 9 q^{26} - 6 q^{27} + 3 q^{28} - 3 q^{29} - 6 q^{30} - 12 q^{31} + 3 q^{33} - 9 q^{34} - 6 q^{35} + 42 q^{37} + 18 q^{39} + 21 q^{41} + 3 q^{42} + 9 q^{43} - 6 q^{44} - 6 q^{45} - 3 q^{46} + 3 q^{49} - 6 q^{50} - 3 q^{52} - 18 q^{53} + 3 q^{55} + 6 q^{56} + 6 q^{58} - 15 q^{59} + 9 q^{61} + 12 q^{62} - 6 q^{63} - 6 q^{64} - 9 q^{65} + 3 q^{66} + 18 q^{67} - 6 q^{68} - 3 q^{69} - 6 q^{70} + 12 q^{71} - 9 q^{73} + 12 q^{75} + 9 q^{76} - 54 q^{77} + 6 q^{78} - 9 q^{79} + 21 q^{82} + 15 q^{83} - 3 q^{84} + 9 q^{85} - 27 q^{86} - 3 q^{87} - 9 q^{88} + 3 q^{89} - 51 q^{91} + 3 q^{92} - 15 q^{93} + 12 q^{96} - 48 q^{97} - 15 q^{98} + 3 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{4}{9}\right)\) \(1\)

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
\(3\) 0.766044 0.642788i 0.442276 0.371114i
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) −0.939693 0.342020i −0.420243 0.152956i
\(6\) 0.766044 + 0.642788i 0.312736 + 0.262417i
\(7\) −1.21767 + 2.10906i −0.460235 + 0.797151i −0.998972 0.0453229i \(-0.985568\pi\)
0.538737 + 0.842474i \(0.318902\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) 0.173648 0.984808i 0.0578827 0.328269i
\(10\) 0.173648 0.984808i 0.0549124 0.311424i
\(11\) 0.983713 + 1.70384i 0.296601 + 0.513727i 0.975356 0.220637i \(-0.0708137\pi\)
−0.678755 + 0.734364i \(0.737480\pi\)
\(12\) −0.500000 + 0.866025i −0.144338 + 0.250000i
\(13\) 3.82056 + 3.20583i 1.05963 + 0.889137i 0.994073 0.108712i \(-0.0346726\pi\)
0.0655586 + 0.997849i \(0.479117\pi\)
\(14\) −2.28847 0.832934i −0.611619 0.222611i
\(15\) −0.939693 + 0.342020i −0.242628 + 0.0883092i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 0.779489 + 4.42070i 0.189054 + 1.07218i 0.920635 + 0.390423i \(0.127671\pi\)
−0.731582 + 0.681754i \(0.761218\pi\)
\(18\) 1.00000 0.235702
\(19\) −2.14738 + 3.79325i −0.492643 + 0.870231i
\(20\) 1.00000 0.223607
\(21\) 0.422892 + 2.39834i 0.0922826 + 0.523360i
\(22\) −1.50714 + 1.26464i −0.321322 + 0.269621i
\(23\) 1.62113 0.590043i 0.338029 0.123032i −0.167428 0.985884i \(-0.553546\pi\)
0.505457 + 0.862852i \(0.331324\pi\)
\(24\) −0.939693 0.342020i −0.191814 0.0698146i
\(25\) 0.766044 + 0.642788i 0.153209 + 0.128558i
\(26\) −2.49369 + 4.31920i −0.489053 + 0.847065i
\(27\) −0.500000 0.866025i −0.0962250 0.166667i
\(28\) 0.422892 2.39834i 0.0799190 0.453243i
\(29\) 0.0965400 0.547506i 0.0179270 0.101669i −0.974531 0.224251i \(-0.928006\pi\)
0.992458 + 0.122582i \(0.0391175\pi\)
\(30\) −0.500000 0.866025i −0.0912871 0.158114i
\(31\) −2.42588 + 4.20175i −0.435702 + 0.754657i −0.997353 0.0727170i \(-0.976833\pi\)
0.561651 + 0.827374i \(0.310166\pi\)
\(32\) 0.766044 + 0.642788i 0.135419 + 0.113630i
\(33\) 1.84878 + 0.672899i 0.321831 + 0.117137i
\(34\) −4.21818 + 1.53529i −0.723412 + 0.263301i
\(35\) 1.86558 1.56540i 0.315340 0.264602i
\(36\) 0.173648 + 0.984808i 0.0289414 + 0.164135i
\(37\) −1.63440 −0.268694 −0.134347 0.990934i \(-0.542894\pi\)
−0.134347 + 0.990934i \(0.542894\pi\)
\(38\) −4.10851 1.45607i −0.666489 0.236205i
\(39\) 4.98738 0.798620
\(40\) 0.173648 + 0.984808i 0.0274562 + 0.155712i
\(41\) 2.99752 2.51522i 0.468134 0.392811i −0.377979 0.925814i \(-0.623381\pi\)
0.846113 + 0.533003i \(0.178936\pi\)
\(42\) −2.28847 + 0.832934i −0.353118 + 0.128525i
\(43\) 2.11766 + 0.770766i 0.322941 + 0.117541i 0.498403 0.866945i \(-0.333920\pi\)
−0.175463 + 0.984486i \(0.556142\pi\)
\(44\) −1.50714 1.26464i −0.227209 0.190651i
\(45\) −0.500000 + 0.866025i −0.0745356 + 0.129099i
\(46\) 0.862584 + 1.49404i 0.127181 + 0.220284i
\(47\) 1.19477 6.77588i 0.174275 0.988364i −0.764702 0.644384i \(-0.777114\pi\)
0.938977 0.343980i \(-0.111775\pi\)
\(48\) 0.173648 0.984808i 0.0250640 0.142145i
\(49\) 0.534567 + 0.925897i 0.0763667 + 0.132271i
\(50\) −0.500000 + 0.866025i −0.0707107 + 0.122474i
\(51\) 3.43869 + 2.88541i 0.481513 + 0.404038i
\(52\) −4.68661 1.70579i −0.649915 0.236550i
\(53\) 1.31631 0.479098i 0.180809 0.0658091i −0.250029 0.968238i \(-0.580440\pi\)
0.430838 + 0.902429i \(0.358218\pi\)
\(54\) 0.766044 0.642788i 0.104245 0.0874723i
\(55\) −0.341640 1.93754i −0.0460667 0.261257i
\(56\) 2.43534 0.325436
\(57\) 0.793264 + 4.28611i 0.105070 + 0.567709i
\(58\) 0.555952 0.0730000
\(59\) −1.61529 9.16079i −0.210293 1.19263i −0.888890 0.458121i \(-0.848523\pi\)
0.678596 0.734511i \(-0.262589\pi\)
\(60\) 0.766044 0.642788i 0.0988959 0.0829835i
\(61\) −1.47744 + 0.537743i −0.189167 + 0.0688510i −0.434866 0.900495i \(-0.643204\pi\)
0.245700 + 0.969346i \(0.420982\pi\)
\(62\) −4.55917 1.65940i −0.579015 0.210744i
\(63\) 1.86558 + 1.56540i 0.235041 + 0.197222i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −2.49369 4.31920i −0.309304 0.535731i
\(66\) −0.341640 + 1.93754i −0.0420530 + 0.238494i
\(67\) −1.06199 + 6.02283i −0.129742 + 0.735805i 0.848635 + 0.528979i \(0.177425\pi\)
−0.978378 + 0.206827i \(0.933686\pi\)
\(68\) −2.24445 3.88750i −0.272179 0.471428i
\(69\) 0.862584 1.49404i 0.103843 0.179861i
\(70\) 1.86558 + 1.56540i 0.222979 + 0.187102i
\(71\) −4.04820 1.47343i −0.480433 0.174863i 0.0904394 0.995902i \(-0.471173\pi\)
−0.570873 + 0.821038i \(0.693395\pi\)
\(72\) −0.939693 + 0.342020i −0.110744 + 0.0403075i
\(73\) 2.44982 2.05564i 0.286730 0.240595i −0.488066 0.872807i \(-0.662297\pi\)
0.774795 + 0.632212i \(0.217853\pi\)
\(74\) −0.283811 1.60957i −0.0329923 0.187109i
\(75\) 1.00000 0.115470
\(76\) 0.720511 4.29894i 0.0826483 0.493122i
\(77\) −4.79134 −0.546024
\(78\) 0.866050 + 4.91161i 0.0980608 + 0.556131i
\(79\) −6.63273 + 5.56552i −0.746240 + 0.626170i −0.934506 0.355948i \(-0.884158\pi\)
0.188265 + 0.982118i \(0.439713\pi\)
\(80\) −0.939693 + 0.342020i −0.105061 + 0.0382390i
\(81\) −0.939693 0.342020i −0.104410 0.0380022i
\(82\) 2.99752 + 2.51522i 0.331021 + 0.277760i
\(83\) 7.19392 12.4602i 0.789635 1.36769i −0.136555 0.990632i \(-0.543603\pi\)
0.926190 0.377056i \(-0.123064\pi\)
\(84\) −1.21767 2.10906i −0.132859 0.230118i
\(85\) 0.779489 4.42070i 0.0845474 0.479492i
\(86\) −0.391328 + 2.21933i −0.0421980 + 0.239317i
\(87\) −0.277976 0.481468i −0.0298021 0.0516188i
\(88\) 0.983713 1.70384i 0.104864 0.181630i
\(89\) −1.72329 1.44601i −0.182669 0.153277i 0.546868 0.837219i \(-0.315820\pi\)
−0.729537 + 0.683942i \(0.760264\pi\)
\(90\) −0.939693 0.342020i −0.0990523 0.0360521i
\(91\) −11.4135 + 4.15416i −1.19646 + 0.435475i
\(92\) −1.32156 + 1.10892i −0.137782 + 0.115613i
\(93\) 0.842501 + 4.77806i 0.0873632 + 0.495462i
\(94\) 6.88041 0.709660
\(95\) 3.31525 2.83004i 0.340137 0.290356i
\(96\) 1.00000 0.102062
\(97\) −1.39578 7.91585i −0.141720 0.803732i −0.969943 0.243334i \(-0.921759\pi\)
0.828223 0.560399i \(-0.189352\pi\)
\(98\) −0.819004 + 0.687226i −0.0827319 + 0.0694203i
\(99\) 1.84878 0.672899i 0.185809 0.0676289i
\(100\) −0.939693 0.342020i −0.0939693 0.0342020i
\(101\) −10.0909 8.46730i −1.00409 0.842528i −0.0165403 0.999863i \(-0.505265\pi\)
−0.987545 + 0.157335i \(0.949710\pi\)
\(102\) −2.24445 + 3.88750i −0.222233 + 0.384920i
\(103\) −3.73535 6.46981i −0.368055 0.637490i 0.621207 0.783647i \(-0.286643\pi\)
−0.989261 + 0.146157i \(0.953309\pi\)
\(104\) 0.866050 4.91161i 0.0849232 0.481623i
\(105\) 0.422892 2.39834i 0.0412700 0.234054i
\(106\) 0.700394 + 1.21312i 0.0680283 + 0.117828i
\(107\) −3.05801 + 5.29662i −0.295629 + 0.512044i −0.975131 0.221629i \(-0.928862\pi\)
0.679502 + 0.733673i \(0.262196\pi\)
\(108\) 0.766044 + 0.642788i 0.0737127 + 0.0618523i
\(109\) 4.82590 + 1.75648i 0.462237 + 0.168241i 0.562633 0.826707i \(-0.309789\pi\)
−0.100395 + 0.994948i \(0.532011\pi\)
\(110\) 1.84878 0.672899i 0.176274 0.0641584i
\(111\) −1.25202 + 1.05057i −0.118837 + 0.0997159i
\(112\) 0.422892 + 2.39834i 0.0399595 + 0.226622i
\(113\) 11.6802 1.09878 0.549390 0.835566i \(-0.314860\pi\)
0.549390 + 0.835566i \(0.314860\pi\)
\(114\) −4.08324 + 1.52549i −0.382431 + 0.142875i
\(115\) −1.72517 −0.160873
\(116\) 0.0965400 + 0.547506i 0.00896351 + 0.0508346i
\(117\) 3.82056 3.20583i 0.353211 0.296379i
\(118\) 8.74112 3.18151i 0.804685 0.292881i
\(119\) −10.2727 3.73896i −0.941696 0.342749i
\(120\) 0.766044 + 0.642788i 0.0699300 + 0.0586782i
\(121\) 3.56462 6.17410i 0.324056 0.561282i
\(122\) −0.786128 1.36161i −0.0711727 0.123275i
\(123\) 0.679483 3.85354i 0.0612669 0.347462i
\(124\) 0.842501 4.77806i 0.0756588 0.429082i
\(125\) −0.500000 0.866025i −0.0447214 0.0774597i
\(126\) −1.21767 + 2.10906i −0.108479 + 0.187890i
\(127\) 12.3851 + 10.3923i 1.09900 + 0.922170i 0.997357 0.0726516i \(-0.0231461\pi\)
0.101641 + 0.994821i \(0.467591\pi\)
\(128\) −0.939693 0.342020i −0.0830579 0.0302306i
\(129\) 2.11766 0.770766i 0.186450 0.0678622i
\(130\) 3.82056 3.20583i 0.335085 0.281170i
\(131\) 2.85381 + 16.1848i 0.249338 + 1.41407i 0.810197 + 0.586157i \(0.199360\pi\)
−0.560859 + 0.827911i \(0.689529\pi\)
\(132\) −1.96743 −0.171242
\(133\) −5.38541 9.14789i −0.466974 0.793222i
\(134\) −6.11574 −0.528319
\(135\) 0.173648 + 0.984808i 0.0149453 + 0.0847588i
\(136\) 3.43869 2.88541i 0.294866 0.247422i
\(137\) 18.7888 6.83857i 1.60524 0.584258i 0.624747 0.780827i \(-0.285202\pi\)
0.980490 + 0.196569i \(0.0629799\pi\)
\(138\) 1.62113 + 0.590043i 0.138000 + 0.0502278i
\(139\) 15.2975 + 12.8361i 1.29751 + 1.08874i 0.990569 + 0.137016i \(0.0437511\pi\)
0.306945 + 0.951727i \(0.400693\pi\)
\(140\) −1.21767 + 2.10906i −0.102912 + 0.178248i
\(141\) −3.44021 5.95861i −0.289718 0.501806i
\(142\) 0.748078 4.24256i 0.0627773 0.356028i
\(143\) −1.70389 + 9.66323i −0.142486 + 0.808080i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) −0.277976 + 0.481468i −0.0230846 + 0.0399838i
\(146\) 2.44982 + 2.05564i 0.202749 + 0.170126i
\(147\) 1.00466 + 0.365665i 0.0828627 + 0.0301596i
\(148\) 1.53583 0.558998i 0.126245 0.0459493i
\(149\) −0.983907 + 0.825596i −0.0806048 + 0.0676355i −0.682200 0.731166i \(-0.738977\pi\)
0.601595 + 0.798801i \(0.294532\pi\)
\(150\) 0.173648 + 0.984808i 0.0141783 + 0.0804092i
\(151\) −1.31695 −0.107172 −0.0535860 0.998563i \(-0.517065\pi\)
−0.0535860 + 0.998563i \(0.517065\pi\)
\(152\) 4.35874 0.0369374i 0.353541 0.00299602i
\(153\) 4.48890 0.362906
\(154\) −0.832008 4.71855i −0.0670451 0.380232i
\(155\) 3.71667 3.11866i 0.298530 0.250496i
\(156\) −4.68661 + 1.70579i −0.375229 + 0.136572i
\(157\) 8.78289 + 3.19671i 0.700951 + 0.255125i 0.667817 0.744326i \(-0.267229\pi\)
0.0331339 + 0.999451i \(0.489451\pi\)
\(158\) −6.63273 5.56552i −0.527671 0.442769i
\(159\) 0.700394 1.21312i 0.0555449 0.0962065i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) −0.729560 + 4.13754i −0.0574974 + 0.326084i
\(162\) 0.173648 0.984808i 0.0136431 0.0773738i
\(163\) −11.3964 19.7391i −0.892634 1.54609i −0.836706 0.547653i \(-0.815521\pi\)
−0.0559285 0.998435i \(-0.517812\pi\)
\(164\) −1.95649 + 3.38875i −0.152776 + 0.264617i
\(165\) −1.50714 1.26464i −0.117330 0.0984519i
\(166\) 13.5201 + 4.92093i 1.04937 + 0.381938i
\(167\) −1.44813 + 0.527077i −0.112060 + 0.0407864i −0.397442 0.917627i \(-0.630102\pi\)
0.285382 + 0.958414i \(0.407880\pi\)
\(168\) 1.86558 1.56540i 0.143932 0.120774i
\(169\) 2.06190 + 11.6936i 0.158607 + 0.899507i
\(170\) 4.48890 0.344283
\(171\) 3.36273 + 2.77345i 0.257155 + 0.212091i
\(172\) −2.25357 −0.171833
\(173\) −1.95424 11.0830i −0.148578 0.842629i −0.964424 0.264359i \(-0.914839\pi\)
0.815846 0.578269i \(-0.196272\pi\)
\(174\) 0.425884 0.357359i 0.0322862 0.0270913i
\(175\) −2.28847 + 0.832934i −0.172992 + 0.0629639i
\(176\) 1.84878 + 0.672899i 0.139357 + 0.0507217i
\(177\) −7.12583 5.97928i −0.535610 0.449430i
\(178\) 1.12480 1.94821i 0.0843072 0.146024i
\(179\) −8.48614 14.6984i −0.634284 1.09861i −0.986666 0.162756i \(-0.947962\pi\)
0.352382 0.935856i \(-0.385372\pi\)
\(180\) 0.173648 0.984808i 0.0129430 0.0734032i
\(181\) −1.14845 + 6.51319i −0.0853637 + 0.484122i 0.911914 + 0.410382i \(0.134605\pi\)
−0.997278 + 0.0737398i \(0.976507\pi\)
\(182\) −6.07298 10.5187i −0.450159 0.779699i
\(183\) −0.786128 + 1.36161i −0.0581123 + 0.100653i
\(184\) −1.32156 1.10892i −0.0974264 0.0817505i
\(185\) 1.53583 + 0.558998i 0.112917 + 0.0410983i
\(186\) −4.55917 + 1.65940i −0.334295 + 0.121673i
\(187\) −6.76537 + 5.67682i −0.494733 + 0.415130i
\(188\) 1.19477 + 6.77588i 0.0871376 + 0.494182i
\(189\) 2.43534 0.177145
\(190\) 3.36273 + 2.77345i 0.243958 + 0.201207i
\(191\) −26.7019 −1.93208 −0.966040 0.258394i \(-0.916807\pi\)
−0.966040 + 0.258394i \(0.916807\pi\)
\(192\) 0.173648 + 0.984808i 0.0125320 + 0.0710724i
\(193\) 18.5867 15.5961i 1.33790 1.12263i 0.355737 0.934586i \(-0.384230\pi\)
0.982161 0.188043i \(-0.0602145\pi\)
\(194\) 7.55321 2.74914i 0.542289 0.197377i
\(195\) −4.68661 1.70579i −0.335615 0.122154i
\(196\) −0.819004 0.687226i −0.0585003 0.0490876i
\(197\) 6.45636 11.1827i 0.459996 0.796737i −0.538964 0.842329i \(-0.681184\pi\)
0.998960 + 0.0455917i \(0.0145173\pi\)
\(198\) 0.983713 + 1.70384i 0.0699094 + 0.121087i
\(199\) −3.56727 + 20.2310i −0.252877 + 1.43414i 0.548588 + 0.836093i \(0.315166\pi\)
−0.801465 + 0.598042i \(0.795945\pi\)
\(200\) 0.173648 0.984808i 0.0122788 0.0696364i
\(201\) 3.05787 + 5.29638i 0.215685 + 0.373578i
\(202\) 6.58639 11.4080i 0.463417 0.802661i
\(203\) 1.03717 + 0.870289i 0.0727951 + 0.0610823i
\(204\) −4.21818 1.53529i −0.295332 0.107492i
\(205\) −3.67700 + 1.33832i −0.256813 + 0.0934723i
\(206\) 5.72288 4.80207i 0.398732 0.334576i
\(207\) −0.299572 1.69896i −0.0208217 0.118086i
\(208\) 4.98738 0.345813
\(209\) −8.57550 + 0.0726716i −0.593180 + 0.00502680i
\(210\) 2.43534 0.168054
\(211\) −1.61202 9.14223i −0.110976 0.629377i −0.988664 0.150145i \(-0.952026\pi\)
0.877688 0.479233i \(-0.159085\pi\)
\(212\) −1.07307 + 0.900409i −0.0736985 + 0.0618404i
\(213\) −4.04820 + 1.47343i −0.277378 + 0.100957i
\(214\) −5.74717 2.09180i −0.392869 0.142993i
\(215\) −1.72633 1.44857i −0.117735 0.0987914i
\(216\) −0.500000 + 0.866025i −0.0340207 + 0.0589256i
\(217\) −5.90784 10.2327i −0.401051 0.694640i
\(218\) −0.891790 + 5.05759i −0.0603997 + 0.342543i
\(219\) 0.555329 3.14943i 0.0375257 0.212819i
\(220\) 0.983713 + 1.70384i 0.0663219 + 0.114873i
\(221\) −11.1939 + 19.3884i −0.752985 + 1.30421i
\(222\) −1.25202 1.05057i −0.0840303 0.0705098i
\(223\) −5.60125 2.03869i −0.375087 0.136521i 0.147596 0.989048i \(-0.452847\pi\)
−0.522683 + 0.852527i \(0.675069\pi\)
\(224\) −2.28847 + 0.832934i −0.152905 + 0.0556528i
\(225\) 0.766044 0.642788i 0.0510696 0.0428525i
\(226\) 2.02824 + 11.5027i 0.134917 + 0.765151i
\(227\) 21.7624 1.44442 0.722209 0.691675i \(-0.243127\pi\)
0.722209 + 0.691675i \(0.243127\pi\)
\(228\) −2.21136 3.75631i −0.146451 0.248768i
\(229\) 17.3608 1.14723 0.573617 0.819123i \(-0.305540\pi\)
0.573617 + 0.819123i \(0.305540\pi\)
\(230\) −0.299572 1.69896i −0.0197532 0.112026i
\(231\) −3.67038 + 3.07982i −0.241493 + 0.202637i
\(232\) −0.522424 + 0.190147i −0.0342988 + 0.0124837i
\(233\) 27.1397 + 9.87805i 1.77798 + 0.647133i 0.999818 + 0.0190721i \(0.00607120\pi\)
0.778164 + 0.628061i \(0.216151\pi\)
\(234\) 3.82056 + 3.20583i 0.249758 + 0.209572i
\(235\) −3.44021 + 5.95861i −0.224414 + 0.388697i
\(236\) 4.65105 + 8.05586i 0.302758 + 0.524392i
\(237\) −1.50352 + 8.52687i −0.0976639 + 0.553880i
\(238\) 1.89832 10.7659i 0.123050 0.697849i
\(239\) 0.584549 + 1.01247i 0.0378113 + 0.0654911i 0.884312 0.466897i \(-0.154628\pi\)
−0.846500 + 0.532388i \(0.821295\pi\)
\(240\) −0.500000 + 0.866025i −0.0322749 + 0.0559017i
\(241\) 1.98684 + 1.66716i 0.127984 + 0.107391i 0.704533 0.709671i \(-0.251157\pi\)
−0.576549 + 0.817063i \(0.695601\pi\)
\(242\) 6.69929 + 2.43834i 0.430647 + 0.156743i
\(243\) −0.939693 + 0.342020i −0.0602813 + 0.0219406i
\(244\) 1.20442 1.01063i 0.0771050 0.0646988i
\(245\) −0.185653 1.05289i −0.0118609 0.0672668i
\(246\) 3.91299 0.249483
\(247\) −20.3647 + 7.60819i −1.29578 + 0.484098i
\(248\) 4.85177 0.308088
\(249\) −2.49842 14.1693i −0.158331 0.897940i
\(250\) 0.766044 0.642788i 0.0484489 0.0406535i
\(251\) −3.02287 + 1.10023i −0.190802 + 0.0694461i −0.435654 0.900114i \(-0.643483\pi\)
0.244852 + 0.969560i \(0.421261\pi\)
\(252\) −2.28847 0.832934i −0.144160 0.0524699i
\(253\) 2.60006 + 2.18171i 0.163465 + 0.137163i
\(254\) −8.08379 + 14.0015i −0.507222 + 0.878535i
\(255\) −2.24445 3.88750i −0.140553 0.243445i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −5.29621 + 30.0363i −0.330369 + 1.87361i 0.138524 + 0.990359i \(0.455764\pi\)
−0.468893 + 0.883255i \(0.655347\pi\)
\(258\) 1.12678 + 1.95165i 0.0701506 + 0.121504i
\(259\) 1.99016 3.44705i 0.123662 0.214190i
\(260\) 3.82056 + 3.20583i 0.236941 + 0.198817i
\(261\) −0.522424 0.190147i −0.0323372 0.0117698i
\(262\) −15.4433 + 5.62091i −0.954091 + 0.347261i
\(263\) −12.3751 + 10.3840i −0.763084 + 0.640304i −0.938928 0.344115i \(-0.888179\pi\)
0.175844 + 0.984418i \(0.443735\pi\)
\(264\) −0.341640 1.93754i −0.0210265 0.119247i
\(265\) −1.40079 −0.0860497
\(266\) 8.07374 6.89210i 0.495033 0.422582i
\(267\) −2.24960 −0.137673
\(268\) −1.06199 6.02283i −0.0648712 0.367903i
\(269\) −4.51842 + 3.79140i −0.275493 + 0.231166i −0.770057 0.637975i \(-0.779772\pi\)
0.494564 + 0.869141i \(0.335328\pi\)
\(270\) −0.939693 + 0.342020i −0.0571879 + 0.0208147i
\(271\) −22.3790 8.14530i −1.35943 0.494792i −0.443552 0.896249i \(-0.646282\pi\)
−0.915878 + 0.401457i \(0.868504\pi\)
\(272\) 3.43869 + 2.88541i 0.208501 + 0.174953i
\(273\) −6.07298 + 10.5187i −0.367553 + 0.636621i
\(274\) 9.99732 + 17.3159i 0.603960 + 1.04609i
\(275\) −0.341640 + 1.93754i −0.0206017 + 0.116838i
\(276\) −0.299572 + 1.69896i −0.0180321 + 0.102265i
\(277\) −6.56088 11.3638i −0.394205 0.682783i 0.598795 0.800903i \(-0.295647\pi\)
−0.992999 + 0.118120i \(0.962313\pi\)
\(278\) −9.98471 + 17.2940i −0.598843 + 1.03723i
\(279\) 3.71667 + 3.11866i 0.222511 + 0.186709i
\(280\) −2.28847 0.832934i −0.136762 0.0497773i
\(281\) −5.79710 + 2.10997i −0.345826 + 0.125870i −0.509093 0.860711i \(-0.670019\pi\)
0.163267 + 0.986582i \(0.447797\pi\)
\(282\) 5.27070 4.42264i 0.313866 0.263365i
\(283\) −2.26504 12.8457i −0.134643 0.763598i −0.975108 0.221732i \(-0.928829\pi\)
0.840465 0.541866i \(-0.182282\pi\)
\(284\) 4.30801 0.255633
\(285\) 0.720511 4.29894i 0.0426794 0.254647i
\(286\) −9.81231 −0.580214
\(287\) 1.65477 + 9.38467i 0.0976780 + 0.553959i
\(288\) 0.766044 0.642788i 0.0451396 0.0378766i
\(289\) −2.96021 + 1.07743i −0.174130 + 0.0633780i
\(290\) −0.522424 0.190147i −0.0306778 0.0111658i
\(291\) −6.15743 5.16670i −0.360955 0.302877i
\(292\) −1.59901 + 2.76956i −0.0935748 + 0.162076i
\(293\) −9.76071 16.9060i −0.570227 0.987662i −0.996542 0.0830872i \(-0.973522\pi\)
0.426316 0.904575i \(-0.359811\pi\)
\(294\) −0.185653 + 1.05289i −0.0108275 + 0.0614059i
\(295\) −1.61529 + 9.16079i −0.0940460 + 0.533362i
\(296\) 0.817200 + 1.41543i 0.0474988 + 0.0822703i
\(297\) 0.983713 1.70384i 0.0570808 0.0988669i
\(298\) −0.983907 0.825596i −0.0569962 0.0478255i
\(299\) 8.08519 + 2.94277i 0.467579 + 0.170185i
\(300\) −0.939693 + 0.342020i −0.0542532 + 0.0197465i
\(301\) −4.20421 + 3.52775i −0.242326 + 0.203336i
\(302\) −0.228686 1.29694i −0.0131594 0.0746307i
\(303\) −13.1728 −0.756756
\(304\) 0.793264 + 4.28611i 0.0454968 + 0.245825i
\(305\) 1.57226 0.0900272
\(306\) 0.779489 + 4.42070i 0.0445604 + 0.252715i
\(307\) −18.2370 + 15.3027i −1.04084 + 0.873371i −0.992101 0.125441i \(-0.959965\pi\)
−0.0487414 + 0.998811i \(0.515521\pi\)
\(308\) 4.50239 1.63874i 0.256548 0.0933757i
\(309\) −7.02016 2.55513i −0.399363 0.145356i
\(310\) 3.71667 + 3.11866i 0.211093 + 0.177128i
\(311\) −6.12651 + 10.6114i −0.347402 + 0.601719i −0.985787 0.167999i \(-0.946270\pi\)
0.638385 + 0.769717i \(0.279603\pi\)
\(312\) −2.49369 4.31920i −0.141177 0.244527i
\(313\) −4.58318 + 25.9925i −0.259056 + 1.46918i 0.526385 + 0.850246i \(0.323547\pi\)
−0.785442 + 0.618936i \(0.787564\pi\)
\(314\) −1.62301 + 9.20456i −0.0915918 + 0.519443i
\(315\) −1.21767 2.10906i −0.0686078 0.118832i
\(316\) 4.32921 7.49840i 0.243537 0.421818i
\(317\) 12.1620 + 10.2051i 0.683086 + 0.573177i 0.916906 0.399103i \(-0.130678\pi\)
−0.233820 + 0.972280i \(0.575123\pi\)
\(318\) 1.31631 + 0.479098i 0.0738150 + 0.0268665i
\(319\) 1.02783 0.374099i 0.0575474 0.0209455i
\(320\) 0.766044 0.642788i 0.0428232 0.0359329i
\(321\) 1.06203 + 6.02310i 0.0592770 + 0.336177i
\(322\) −4.20137 −0.234133
\(323\) −18.4427 6.53614i −1.02618 0.363680i
\(324\) 1.00000 0.0555556
\(325\) 0.866050 + 4.91161i 0.0480398 + 0.272447i
\(326\) 17.4603 14.6509i 0.967036 0.811439i
\(327\) 4.82590 1.75648i 0.266873 0.0971338i
\(328\) −3.67700 1.33832i −0.203029 0.0738964i
\(329\) 12.8359 + 10.7706i 0.707668 + 0.593804i
\(330\) 0.983713 1.70384i 0.0541516 0.0937933i
\(331\) −12.5995 21.8229i −0.692529 1.19950i −0.971007 0.239053i \(-0.923163\pi\)
0.278478 0.960443i \(-0.410170\pi\)
\(332\) −2.49842 + 14.1693i −0.137119 + 0.777639i
\(333\) −0.283811 + 1.60957i −0.0155527 + 0.0882039i
\(334\) −0.770535 1.33461i −0.0421618 0.0730264i
\(335\) 3.05787 5.29638i 0.167069 0.289372i
\(336\) 1.86558 + 1.56540i 0.101776 + 0.0853998i
\(337\) 14.3855 + 5.23589i 0.783627 + 0.285217i 0.702684 0.711502i \(-0.251985\pi\)
0.0809430 + 0.996719i \(0.474207\pi\)
\(338\) −11.1579 + 4.06114i −0.606910 + 0.220897i
\(339\) 8.94755 7.50788i 0.485964 0.407772i
\(340\) 0.779489 + 4.42070i 0.0422737 + 0.239746i
\(341\) −9.54549 −0.516917
\(342\) −2.14738 + 3.79325i −0.116117 + 0.205115i
\(343\) −19.6511 −1.06106
\(344\) −0.391328 2.21933i −0.0210990 0.119658i
\(345\) −1.32156 + 1.10892i −0.0711502 + 0.0597021i
\(346\) 10.5753 3.84910i 0.568533 0.206929i
\(347\) 3.05554 + 1.11213i 0.164030 + 0.0597021i 0.422730 0.906256i \(-0.361072\pi\)
−0.258700 + 0.965958i \(0.583294\pi\)
\(348\) 0.425884 + 0.357359i 0.0228298 + 0.0191564i
\(349\) −17.5001 + 30.3111i −0.936760 + 1.62252i −0.165294 + 0.986244i \(0.552857\pi\)
−0.771466 + 0.636271i \(0.780476\pi\)
\(350\) −1.21767 2.10906i −0.0650871 0.112734i
\(351\) 0.866050 4.91161i 0.0462263 0.262163i
\(352\) −0.341640 + 1.93754i −0.0182095 + 0.103271i
\(353\) 7.43063 + 12.8702i 0.395493 + 0.685014i 0.993164 0.116728i \(-0.0372405\pi\)
−0.597671 + 0.801741i \(0.703907\pi\)
\(354\) 4.65105 8.05586i 0.247201 0.428164i
\(355\) 3.30013 + 2.76913i 0.175153 + 0.146970i
\(356\) 2.11393 + 0.769408i 0.112038 + 0.0407785i
\(357\) −10.2727 + 3.73896i −0.543689 + 0.197886i
\(358\) 13.0015 10.9096i 0.687152 0.576589i
\(359\) 1.93313 + 10.9633i 0.102027 + 0.578623i 0.992366 + 0.123326i \(0.0393559\pi\)
−0.890339 + 0.455297i \(0.849533\pi\)
\(360\) 1.00000 0.0527046
\(361\) −9.77750 16.2911i −0.514605 0.857427i
\(362\) −6.61367 −0.347607
\(363\) −1.23798 7.02093i −0.0649770 0.368503i
\(364\) 9.30434 7.80727i 0.487680 0.409212i
\(365\) −3.00515 + 1.09378i −0.157297 + 0.0572513i
\(366\) −1.47744 0.537743i −0.0772269 0.0281083i
\(367\) 13.8730 + 11.6408i 0.724166 + 0.607647i 0.928534 0.371247i \(-0.121070\pi\)
−0.204369 + 0.978894i \(0.565514\pi\)
\(368\) 0.862584 1.49404i 0.0449653 0.0778822i
\(369\) −1.95649 3.38875i −0.101851 0.176411i
\(370\) −0.283811 + 1.60957i −0.0147546 + 0.0836776i
\(371\) −0.592382 + 3.35956i −0.0307549 + 0.174420i
\(372\) −2.42588 4.20175i −0.125776 0.217851i
\(373\) 17.5607 30.4161i 0.909259 1.57488i 0.0941642 0.995557i \(-0.469982\pi\)
0.815095 0.579327i \(-0.196685\pi\)
\(374\) −6.76537 5.67682i −0.349829 0.293542i
\(375\) −0.939693 0.342020i −0.0485255 0.0176618i
\(376\) −6.46547 + 2.35324i −0.333431 + 0.121359i
\(377\) 2.12405 1.78229i 0.109394 0.0917924i
\(378\) 0.422892 + 2.39834i 0.0217512 + 0.123357i
\(379\) 36.0175 1.85010 0.925048 0.379849i \(-0.124024\pi\)
0.925048 + 0.379849i \(0.124024\pi\)
\(380\) −2.14738 + 3.79325i −0.110158 + 0.194590i
\(381\) 16.1676 0.828290
\(382\) −4.63673 26.2962i −0.237236 1.34543i
\(383\) −4.31150 + 3.61778i −0.220307 + 0.184860i −0.746261 0.665653i \(-0.768153\pi\)
0.525954 + 0.850513i \(0.323708\pi\)
\(384\) −0.939693 + 0.342020i −0.0479535 + 0.0174536i
\(385\) 4.50239 + 1.63874i 0.229463 + 0.0835177i
\(386\) 18.5867 + 15.5961i 0.946037 + 0.793819i
\(387\) 1.12678 1.95165i 0.0572777 0.0992079i
\(388\) 4.01898 + 6.96108i 0.204033 + 0.353395i
\(389\) −0.415260 + 2.35506i −0.0210545 + 0.119406i −0.993524 0.113626i \(-0.963754\pi\)
0.972469 + 0.233032i \(0.0748647\pi\)
\(390\) 0.866050 4.91161i 0.0438541 0.248709i
\(391\) 3.87205 + 6.70659i 0.195818 + 0.339167i
\(392\) 0.534567 0.925897i 0.0269997 0.0467649i
\(393\) 12.5895 + 10.5639i 0.635057 + 0.532876i
\(394\) 12.1340 + 4.41641i 0.611301 + 0.222495i
\(395\) 8.13624 2.96135i 0.409379 0.149002i
\(396\) −1.50714 + 1.26464i −0.0757364 + 0.0635504i
\(397\) −3.38910 19.2205i −0.170094 0.964650i −0.943656 0.330929i \(-0.892638\pi\)
0.773562 0.633721i \(-0.218473\pi\)
\(398\) −20.5431 −1.02973
\(399\) −10.0056 3.54602i −0.500907 0.177523i
\(400\) 1.00000 0.0500000
\(401\) −4.34989 24.6695i −0.217223 1.23193i −0.877006 0.480479i \(-0.840463\pi\)
0.659783 0.751456i \(-0.270648\pi\)
\(402\) −4.68493 + 3.93112i −0.233663 + 0.196066i
\(403\) −22.7383 + 8.27607i −1.13268 + 0.412261i
\(404\) 12.3784 + 4.50536i 0.615847 + 0.224150i
\(405\) 0.766044 + 0.642788i 0.0380651 + 0.0319404i
\(406\) −0.676965 + 1.17254i −0.0335972 + 0.0581921i
\(407\) −1.60778 2.78476i −0.0796947 0.138035i
\(408\) 0.779489 4.42070i 0.0385904 0.218857i
\(409\) 3.38634 19.2049i 0.167444 0.949620i −0.779066 0.626942i \(-0.784306\pi\)
0.946509 0.322677i \(-0.104583\pi\)
\(410\) −1.95649 3.38875i −0.0966243 0.167358i
\(411\) 9.99732 17.3159i 0.493131 0.854129i
\(412\) 5.72288 + 4.80207i 0.281946 + 0.236581i
\(413\) 21.2876 + 7.74804i 1.04749 + 0.381256i
\(414\) 1.62113 0.590043i 0.0796741 0.0289990i
\(415\) −11.0217 + 9.24833i −0.541035 + 0.453982i
\(416\) 0.866050 + 4.91161i 0.0424616 + 0.240812i
\(417\) 19.9694 0.977906
\(418\) −1.56069 8.43260i −0.0763357 0.412452i
\(419\) 14.9325 0.729499 0.364750 0.931106i \(-0.381155\pi\)
0.364750 + 0.931106i \(0.381155\pi\)
\(420\) 0.422892 + 2.39834i 0.0206350 + 0.117027i
\(421\) 24.9795 20.9603i 1.21743 1.02154i 0.218473 0.975843i \(-0.429892\pi\)
0.998955 0.0457004i \(-0.0145520\pi\)
\(422\) 8.72342 3.17506i 0.424649 0.154560i
\(423\) −6.46547 2.35324i −0.314362 0.114418i
\(424\) −1.07307 0.900409i −0.0521127 0.0437277i
\(425\) −2.24445 + 3.88750i −0.108872 + 0.188571i
\(426\) −2.15400 3.73085i −0.104362 0.180760i
\(427\) 0.664894 3.77080i 0.0321765 0.182482i
\(428\) 1.06203 6.02310i 0.0513354 0.291137i
\(429\) 4.90615 + 8.49771i 0.236871 + 0.410273i
\(430\) 1.12678 1.95165i 0.0543384 0.0941169i
\(431\) 3.37722 + 2.83383i 0.162675 + 0.136501i 0.720492 0.693464i \(-0.243916\pi\)
−0.557816 + 0.829964i \(0.688361\pi\)
\(432\) −0.939693 0.342020i −0.0452110 0.0164555i
\(433\) −11.0667 + 4.02795i −0.531831 + 0.193571i −0.593956 0.804498i \(-0.702435\pi\)
0.0621245 + 0.998068i \(0.480212\pi\)
\(434\) 9.05134 7.59498i 0.434478 0.364571i
\(435\) 0.0965400 + 0.547506i 0.00462874 + 0.0262509i
\(436\) −5.13562 −0.245951
\(437\) −1.24300 + 7.41639i −0.0594609 + 0.354774i
\(438\) 3.19801 0.152807
\(439\) −0.100133 0.567885i −0.00477911 0.0271037i 0.982325 0.187184i \(-0.0599359\pi\)
−0.987104 + 0.160080i \(0.948825\pi\)
\(440\) −1.50714 + 1.26464i −0.0718499 + 0.0602892i
\(441\) 1.00466 0.365665i 0.0478408 0.0174126i
\(442\) −21.0377 7.65709i −1.00066 0.364211i
\(443\) 0.815551 + 0.684328i 0.0387480 + 0.0325134i 0.661956 0.749543i \(-0.269727\pi\)
−0.623208 + 0.782056i \(0.714171\pi\)
\(444\) 0.817200 1.41543i 0.0387826 0.0671735i
\(445\) 1.12480 + 1.94821i 0.0533206 + 0.0923539i
\(446\) 1.03507 5.87017i 0.0490119 0.277961i
\(447\) −0.223034 + 1.26489i −0.0105491 + 0.0598271i
\(448\) −1.21767 2.10906i −0.0575294 0.0996439i
\(449\) 3.50690 6.07414i 0.165501 0.286656i −0.771332 0.636433i \(-0.780409\pi\)
0.936833 + 0.349777i \(0.113743\pi\)
\(450\) 0.766044 + 0.642788i 0.0361117 + 0.0303013i
\(451\) 7.23423 + 2.63305i 0.340647 + 0.123985i
\(452\) −10.9758 + 3.99486i −0.516258 + 0.187903i
\(453\) −1.00884 + 0.846520i −0.0473996 + 0.0397730i
\(454\) 3.77899 + 21.4317i 0.177357 + 1.00584i
\(455\) 12.1460 0.569411
\(456\) 3.31525 2.83004i 0.155251 0.132529i
\(457\) −2.68109 −0.125416 −0.0627082 0.998032i \(-0.519974\pi\)
−0.0627082 + 0.998032i \(0.519974\pi\)
\(458\) 3.01467 + 17.0971i 0.140866 + 0.798893i
\(459\) 3.43869 2.88541i 0.160504 0.134679i
\(460\) 1.62113 0.590043i 0.0755855 0.0275109i
\(461\) 21.4877 + 7.82088i 1.00078 + 0.364255i 0.789886 0.613254i \(-0.210140\pi\)
0.210896 + 0.977509i \(0.432362\pi\)
\(462\) −3.67038 3.07982i −0.170762 0.143286i
\(463\) −14.3479 + 24.8513i −0.666804 + 1.15494i 0.311989 + 0.950086i \(0.399005\pi\)
−0.978793 + 0.204852i \(0.934329\pi\)
\(464\) −0.277976 0.481468i −0.0129047 0.0223516i
\(465\) 0.842501 4.77806i 0.0390700 0.221577i
\(466\) −5.01522 + 28.4427i −0.232326 + 1.31758i
\(467\) −8.15066 14.1174i −0.377167 0.653273i 0.613481 0.789709i \(-0.289769\pi\)
−0.990649 + 0.136436i \(0.956435\pi\)
\(468\) −2.49369 + 4.31920i −0.115271 + 0.199655i
\(469\) −11.4094 9.57360i −0.526836 0.442068i
\(470\) −6.46547 2.35324i −0.298230 0.108547i
\(471\) 8.78289 3.19671i 0.404694 0.147297i
\(472\) −7.12583 + 5.97928i −0.327993 + 0.275219i
\(473\) 0.769909 + 4.36637i 0.0354005 + 0.200766i
\(474\) −8.65841 −0.397694
\(475\) −4.08324 + 1.52549i −0.187352 + 0.0699942i
\(476\) 10.9320 0.501066
\(477\) −0.243244 1.37951i −0.0111374 0.0631633i
\(478\) −0.895581 + 0.751482i −0.0409629 + 0.0343720i
\(479\) 35.7021 12.9945i 1.63127 0.593734i 0.645790 0.763515i \(-0.276528\pi\)
0.985482 + 0.169781i \(0.0543059\pi\)
\(480\) −0.939693 0.342020i −0.0428909 0.0156110i
\(481\) −6.24432 5.23961i −0.284717 0.238906i
\(482\) −1.29682 + 2.24616i −0.0590685 + 0.102310i
\(483\) 2.10068 + 3.63849i 0.0955844 + 0.165557i
\(484\) −1.23798 + 7.02093i −0.0562718 + 0.319133i
\(485\) −1.39578 + 7.91585i −0.0633790 + 0.359440i
\(486\) −0.500000 0.866025i −0.0226805 0.0392837i
\(487\) 21.4300 37.1178i 0.971086 1.68197i 0.278796 0.960350i \(-0.410065\pi\)
0.692290 0.721620i \(-0.256602\pi\)
\(488\) 1.20442 + 1.01063i 0.0545215 + 0.0457489i
\(489\) −21.4182 7.79559i −0.968565 0.352529i
\(490\) 1.00466 0.365665i 0.0453858 0.0165191i
\(491\) 27.4119 23.0013i 1.23708 1.03803i 0.239335 0.970937i \(-0.423071\pi\)
0.997746 0.0670973i \(-0.0213738\pi\)
\(492\) 0.679483 + 3.85354i 0.0306335 + 0.173731i
\(493\) 2.49561 0.112397
\(494\) −11.0289 18.7342i −0.496214 0.842890i
\(495\) −1.96743 −0.0884292
\(496\) 0.842501 + 4.77806i 0.0378294 + 0.214541i
\(497\) 8.03692 6.74378i 0.360505 0.302500i
\(498\) 13.5201 4.92093i 0.605852 0.220512i
\(499\) −30.2273 11.0018i −1.35316 0.492510i −0.439227 0.898376i \(-0.644748\pi\)
−0.913932 + 0.405866i \(0.866970\pi\)
\(500\) 0.766044 + 0.642788i 0.0342585 + 0.0287463i
\(501\) −0.770535 + 1.33461i −0.0344250 + 0.0596258i
\(502\) −1.60843 2.78589i −0.0717879 0.124340i
\(503\) −5.21293 + 29.5640i −0.232433 + 1.31819i 0.615520 + 0.788121i \(0.288946\pi\)
−0.847953 + 0.530072i \(0.822165\pi\)
\(504\) 0.422892 2.39834i 0.0188371 0.106830i
\(505\) 6.58639 + 11.4080i 0.293090 + 0.507648i
\(506\) −1.69707 + 2.93941i −0.0754440 + 0.130673i
\(507\) 9.09600 + 7.63245i 0.403968 + 0.338969i
\(508\) −15.1926 5.52964i −0.674061 0.245338i
\(509\) 17.5179 6.37599i 0.776467 0.282611i 0.0767684 0.997049i \(-0.475540\pi\)
0.699699 + 0.714438i \(0.253318\pi\)
\(510\) 3.43869 2.88541i 0.152268 0.127768i
\(511\) 1.35241 + 7.66992i 0.0598273 + 0.339297i
\(512\) 1.00000 0.0441942
\(513\) 4.35874 0.0369374i 0.192443 0.00163083i
\(514\) −30.4997 −1.34528
\(515\) 1.29727 + 7.35720i 0.0571647 + 0.324197i
\(516\) −1.72633 + 1.44857i −0.0759976 + 0.0637696i
\(517\) 12.7203 4.62982i 0.559440 0.203619i
\(518\) 3.74027 + 1.36135i 0.164338 + 0.0598142i
\(519\) −8.62108 7.23395i −0.378423 0.317535i
\(520\) −2.49369 + 4.31920i −0.109356 + 0.189409i
\(521\) −19.9463 34.5480i −0.873862 1.51357i −0.857970 0.513700i \(-0.828274\pi\)
−0.0158922 0.999874i \(-0.505059\pi\)
\(522\) 0.0965400 0.547506i 0.00422544 0.0239637i
\(523\) 0.00292704 0.0166001i 0.000127990 0.000725870i −0.984744 0.174011i \(-0.944327\pi\)
0.984872 + 0.173285i \(0.0554382\pi\)
\(524\) −8.21722 14.2326i −0.358971 0.621756i
\(525\) −1.21767 + 2.10906i −0.0531434 + 0.0920471i
\(526\) −12.3751 10.3840i −0.539582 0.452763i
\(527\) −20.4656 7.44888i −0.891497 0.324478i
\(528\) 1.84878 0.672899i 0.0804576 0.0292842i
\(529\) −15.3391 + 12.8710i −0.666918 + 0.559611i
\(530\) −0.243244 1.37951i −0.0105659 0.0599219i
\(531\) −9.30211 −0.403677
\(532\) 8.18939 + 6.75429i 0.355055 + 0.292835i
\(533\) 19.5156 0.845313
\(534\) −0.390638 2.21542i −0.0169046 0.0958706i
\(535\) 4.68514 3.93130i 0.202556 0.169965i
\(536\) 5.74691 2.09171i 0.248229 0.0903479i
\(537\) −15.9487 5.80486i −0.688239 0.250498i
\(538\) −4.51842 3.79140i −0.194803 0.163459i
\(539\) −1.05172 + 1.82163i −0.0453008 + 0.0784633i
\(540\) −0.500000 0.866025i −0.0215166 0.0372678i
\(541\) 4.18833 23.7532i 0.180070 1.02123i −0.752057 0.659099i \(-0.770938\pi\)
0.932127 0.362132i \(-0.117951\pi\)
\(542\) 4.13548 23.4535i 0.177634 1.00741i
\(543\) 3.30683 + 5.72760i 0.141910 + 0.245795i
\(544\) −2.24445 + 3.88750i −0.0962299 + 0.166675i
\(545\) −3.93411 3.30111i −0.168519 0.141404i
\(546\) −11.4135 4.15416i −0.488451 0.177782i
\(547\) 2.98918 1.08797i 0.127808 0.0465183i −0.277324 0.960776i \(-0.589448\pi\)
0.405132 + 0.914258i \(0.367225\pi\)
\(548\) −15.3168 + 12.8523i −0.654301 + 0.549023i
\(549\) 0.273019 + 1.54837i 0.0116522 + 0.0660828i
\(550\) −1.96743 −0.0838913
\(551\) 1.86952 + 1.54190i 0.0796441 + 0.0656873i
\(552\) −1.72517 −0.0734281
\(553\) −3.66157 20.7658i −0.155706 0.883052i
\(554\) 10.0518 8.43450i 0.427062 0.358348i
\(555\) 1.53583 0.558998i 0.0651925 0.0237281i
\(556\) −18.7651 6.82994i −0.795818 0.289654i
\(557\) −12.3758 10.3845i −0.524379 0.440006i 0.341776 0.939781i \(-0.388972\pi\)
−0.866155 + 0.499775i \(0.833416\pi\)
\(558\) −2.42588 + 4.20175i −0.102696 + 0.177874i
\(559\) 5.61971 + 9.73362i 0.237688 + 0.411688i
\(560\) 0.422892 2.39834i 0.0178704 0.101348i
\(561\) −1.53359 + 8.69740i −0.0647480 + 0.367204i
\(562\) −3.08458 5.34264i −0.130115 0.225366i
\(563\) −6.10953 + 10.5820i −0.257486 + 0.445979i −0.965568 0.260151i \(-0.916227\pi\)
0.708082 + 0.706131i \(0.249561\pi\)
\(564\) 5.27070 + 4.42264i 0.221937 + 0.186227i
\(565\) −10.9758 3.99486i −0.461755 0.168065i
\(566\) 12.2572 4.46127i 0.515210 0.187521i
\(567\) 1.86558 1.56540i 0.0783468 0.0657408i
\(568\) 0.748078 + 4.24256i 0.0313887 + 0.178014i
\(569\) −46.5888 −1.95310 −0.976552 0.215284i \(-0.930932\pi\)
−0.976552 + 0.215284i \(0.930932\pi\)
\(570\) 4.35874 0.0369374i 0.182568 0.00154714i
\(571\) 38.5004 1.61119 0.805595 0.592467i \(-0.201846\pi\)
0.805595 + 0.592467i \(0.201846\pi\)
\(572\) −1.70389 9.66323i −0.0712432 0.404040i
\(573\) −20.4548 + 17.1636i −0.854512 + 0.717021i
\(574\) −8.95475 + 3.25926i −0.373764 + 0.136039i
\(575\) 1.62113 + 0.590043i 0.0676057 + 0.0246065i
\(576\) 0.766044 + 0.642788i 0.0319185 + 0.0267828i
\(577\) 12.8569 22.2688i 0.535240 0.927062i −0.463912 0.885881i \(-0.653555\pi\)
0.999152 0.0411810i \(-0.0131120\pi\)
\(578\) −1.57509 2.72814i −0.0655152 0.113476i
\(579\) 4.21326 23.8946i 0.175097 0.993024i
\(580\) 0.0965400 0.547506i 0.00400861 0.0227339i
\(581\) 17.5196 + 30.3449i 0.726836 + 1.25892i
\(582\) 4.01898 6.96108i 0.166592 0.288546i
\(583\) 2.11118 + 1.77149i 0.0874360 + 0.0733675i
\(584\) −3.00515 1.09378i −0.124354 0.0452611i
\(585\) −4.68661 + 1.70579i −0.193767 + 0.0705255i
\(586\) 14.9543 12.5481i 0.617755 0.518358i
\(587\) 1.29631 + 7.35174i 0.0535045 + 0.303439i 0.999803 0.0198556i \(-0.00632065\pi\)
−0.946298 + 0.323295i \(0.895210\pi\)
\(588\) −1.06913 −0.0440903
\(589\) −10.7290 18.2248i −0.442081 0.750938i
\(590\) −9.30211 −0.382962
\(591\) −2.24227 12.7165i −0.0922347 0.523089i
\(592\) −1.25202 + 1.05057i −0.0514579 + 0.0431783i
\(593\) 16.6029 6.04296i 0.681799 0.248155i 0.0221792 0.999754i \(-0.492940\pi\)
0.659620 + 0.751599i \(0.270717\pi\)
\(594\) 1.84878 + 0.672899i 0.0758562 + 0.0276094i
\(595\) 8.37438 + 7.02694i 0.343316 + 0.288076i
\(596\) 0.642200 1.11232i 0.0263055 0.0455625i
\(597\) 10.2715 + 17.7908i 0.420386 + 0.728130i
\(598\) −1.49408 + 8.47336i −0.0610976 + 0.346502i
\(599\) 1.05542 5.98559i 0.0431233 0.244565i −0.955625 0.294587i \(-0.904818\pi\)
0.998748 + 0.0500221i \(0.0159292\pi\)
\(600\) −0.500000 0.866025i −0.0204124 0.0353553i
\(601\) 0.438737 0.759915i 0.0178965 0.0309976i −0.856938 0.515419i \(-0.827636\pi\)
0.874835 + 0.484421i \(0.160970\pi\)
\(602\) −4.20421 3.52775i −0.171351 0.143780i
\(603\) 5.74691 + 2.09171i 0.234032 + 0.0851808i
\(604\) 1.23753 0.450424i 0.0503543 0.0183275i
\(605\) −5.46131 + 4.58258i −0.222034 + 0.186309i
\(606\) −2.28743 12.9727i −0.0929205 0.526978i
\(607\) 36.5323 1.48280 0.741400 0.671064i \(-0.234162\pi\)
0.741400 + 0.671064i \(0.234162\pi\)
\(608\) −4.08324 + 1.52549i −0.165597 + 0.0618667i
\(609\) 1.35393 0.0548640
\(610\) 0.273019 + 1.54837i 0.0110542 + 0.0626917i
\(611\) 26.2870 22.0574i 1.06346 0.892348i
\(612\) −4.21818 + 1.53529i −0.170510 + 0.0620605i
\(613\) 5.30290 + 1.93010i 0.214182 + 0.0779559i 0.446883 0.894592i \(-0.352534\pi\)
−0.232701 + 0.972548i \(0.574756\pi\)
\(614\) −18.2370 15.3027i −0.735987 0.617566i
\(615\) −1.95649 + 3.38875i −0.0788934 + 0.136647i
\(616\) 2.39567 + 4.14943i 0.0965244 + 0.167185i
\(617\) −6.92510 + 39.2742i −0.278794 + 1.58112i 0.447851 + 0.894108i \(0.352189\pi\)
−0.726646 + 0.687013i \(0.758922\pi\)
\(618\) 1.29727 7.35720i 0.0521840 0.295950i
\(619\) 18.9141 + 32.7602i 0.760223 + 1.31674i 0.942736 + 0.333541i \(0.108244\pi\)
−0.182513 + 0.983203i \(0.558423\pi\)
\(620\) −2.42588 + 4.20175i −0.0974258 + 0.168746i
\(621\) −1.32156 1.10892i −0.0530322 0.0444993i
\(622\) −11.5141 4.19078i −0.461672 0.168035i
\(623\) 5.14813 1.87377i 0.206256 0.0750709i
\(624\) 3.82056 3.20583i 0.152945 0.128336i
\(625\) 0.173648 + 0.984808i 0.00694593 + 0.0393923i
\(626\) −26.3935 −1.05489
\(627\) −6.52250 + 5.56790i −0.260484 + 0.222360i
\(628\) −9.34655 −0.372968
\(629\) −1.27400 7.22519i −0.0507976 0.288087i
\(630\) 1.86558 1.56540i 0.0743263 0.0623672i
\(631\) 8.32105 3.02861i 0.331256 0.120567i −0.171038 0.985264i \(-0.554712\pi\)
0.502293 + 0.864697i \(0.332490\pi\)
\(632\) 8.13624 + 2.96135i 0.323642 + 0.117796i
\(633\) −7.11139 5.96717i −0.282653 0.237174i
\(634\) −7.93818 + 13.7493i −0.315265 + 0.546056i
\(635\) −8.08379 14.0015i −0.320796 0.555634i
\(636\) −0.243244 + 1.37951i −0.00964526 + 0.0547010i
\(637\) −0.925924 + 5.25117i −0.0366864 + 0.208059i
\(638\) 0.546897 + 0.947253i 0.0216519 + 0.0375021i
\(639\) −2.15400 + 3.73085i −0.0852111 + 0.147590i
\(640\) 0.766044 + 0.642788i 0.0302806 + 0.0254084i
\(641\) −31.6119 11.5058i −1.24860 0.454451i −0.368668 0.929561i \(-0.620186\pi\)
−0.879927 + 0.475109i \(0.842408\pi\)
\(642\) −5.74717 + 2.09180i −0.226823 + 0.0825568i
\(643\) 4.60009 3.85993i 0.181410 0.152221i −0.547561 0.836766i \(-0.684444\pi\)
0.728971 + 0.684545i \(0.239999\pi\)
\(644\) −0.729560 4.13754i −0.0287487 0.163042i
\(645\) −2.25357 −0.0887342
\(646\) 3.23430 19.2975i 0.127252 0.759249i
\(647\) −41.8549 −1.64548 −0.822742 0.568415i \(-0.807557\pi\)
−0.822742 + 0.568415i \(0.807557\pi\)
\(648\) 0.173648 + 0.984808i 0.00682154 + 0.0386869i
\(649\) 14.0195 11.7638i 0.550315 0.461769i
\(650\) −4.68661 + 1.70579i −0.183824 + 0.0669064i
\(651\) −11.1031 4.04120i −0.435165 0.158387i
\(652\) 17.4603 + 14.6509i 0.683797 + 0.573774i
\(653\) −8.78897 + 15.2229i −0.343939 + 0.595720i −0.985160 0.171636i \(-0.945095\pi\)
0.641222 + 0.767356i \(0.278428\pi\)
\(654\) 2.56781 + 4.44757i 0.100409 + 0.173914i
\(655\) 2.85381 16.1848i 0.111508 0.632391i
\(656\) 0.679483 3.85354i 0.0265294 0.150455i
\(657\) −1.59901 2.76956i −0.0623832 0.108051i
\(658\) −8.37806 + 14.5112i −0.326611 + 0.565707i
\(659\) −7.98770 6.70247i −0.311157 0.261091i 0.473813 0.880625i \(-0.342877\pi\)
−0.784970 + 0.619534i \(0.787322\pi\)
\(660\) 1.84878 + 0.672899i 0.0719635 + 0.0261926i
\(661\) 26.7394 9.73234i 1.04004 0.378544i 0.235145 0.971960i \(-0.424443\pi\)
0.804896 + 0.593416i \(0.202221\pi\)
\(662\) 19.3035 16.1976i 0.750252 0.629536i
\(663\) 3.88761 + 22.0477i 0.150982 + 0.856263i
\(664\) −14.3878 −0.558357
\(665\) 1.93186 + 10.4381i 0.0749145 + 0.404773i
\(666\) −1.63440 −0.0633317
\(667\) −0.166548 0.944539i −0.00644876 0.0365727i
\(668\) 1.18053 0.990581i 0.0456760 0.0383267i
\(669\) −5.60125 + 2.03869i −0.216557 + 0.0788202i
\(670\) 5.74691 + 2.09171i 0.222023 + 0.0808096i
\(671\) −2.36960 1.98833i −0.0914775 0.0767588i
\(672\) −1.21767 + 2.10906i −0.0469726 + 0.0813589i
\(673\) −10.0342 17.3797i −0.386789 0.669938i 0.605227 0.796053i \(-0.293082\pi\)
−0.992016 + 0.126115i \(0.959749\pi\)
\(674\) −2.65833 + 15.0761i −0.102395 + 0.580711i
\(675\) 0.173648 0.984808i 0.00668372 0.0379053i
\(676\) −5.93699 10.2832i −0.228346 0.395507i
\(677\) −9.36450 + 16.2198i −0.359907 + 0.623377i −0.987945 0.154806i \(-0.950525\pi\)
0.628038 + 0.778183i \(0.283858\pi\)
\(678\) 8.94755 + 7.50788i 0.343629 + 0.288339i
\(679\) 18.3946 + 6.69509i 0.705921 + 0.256934i
\(680\) −4.21818 + 1.53529i −0.161760 + 0.0588758i
\(681\) 16.6709 13.9886i 0.638831 0.536043i
\(682\) −1.65756 9.40047i −0.0634712 0.359963i
\(683\) 16.1169 0.616697 0.308349 0.951273i \(-0.400224\pi\)
0.308349 + 0.951273i \(0.400224\pi\)
\(684\) −4.10851 1.45607i −0.157093 0.0556741i
\(685\) −19.9946 −0.763956
\(686\) −3.41237 19.3525i −0.130285 0.738883i
\(687\) 13.2992 11.1593i 0.507394 0.425754i
\(688\) 2.11766 0.770766i 0.0807351 0.0293852i
\(689\) 6.56494 + 2.38944i 0.250104 + 0.0910306i
\(690\) −1.32156 1.10892i −0.0503108 0.0422158i
\(691\) −1.41729 + 2.45482i −0.0539163 + 0.0933859i −0.891724 0.452580i \(-0.850504\pi\)
0.837808 + 0.545966i \(0.183837\pi\)
\(692\) 5.62701 + 9.74627i 0.213907 + 0.370498i
\(693\) −0.832008 + 4.71855i −0.0316054 + 0.179243i
\(694\) −0.564642 + 3.20224i −0.0214335 + 0.121555i
\(695\) −9.98471 17.2940i −0.378742 0.656000i
\(696\) −0.277976 + 0.481468i −0.0105366 + 0.0182500i
\(697\) 13.4556 + 11.2906i 0.509666 + 0.427660i
\(698\) −32.8895 11.9708i −1.24488 0.453101i
\(699\) 27.1397 9.87805i 1.02652 0.373622i
\(700\) 1.86558 1.56540i 0.0705122 0.0591667i
\(701\) 0.952663 + 5.40282i 0.0359816 + 0.204062i 0.997499 0.0706829i \(-0.0225178\pi\)
−0.961517 + 0.274744i \(0.911407\pi\)
\(702\) 4.98738 0.188237
\(703\) 3.50968 6.19969i 0.132370 0.233826i
\(704\) −1.96743 −0.0741501
\(705\) 1.19477 + 6.77588i 0.0449977 + 0.255195i
\(706\) −11.3844 + 9.55264i −0.428457 + 0.359518i
\(707\) 30.1455 10.9721i 1.13374 0.412647i
\(708\) 8.74112 + 3.18151i 0.328511 + 0.119568i
\(709\) −32.6185 27.3701i −1.22501 1.02791i −0.998547 0.0538880i \(-0.982839\pi\)
−0.226465 0.974019i \(-0.572717\pi\)
\(710\) −2.15400 + 3.73085i −0.0808383 + 0.140016i
\(711\) 4.32921 + 7.49840i 0.162358 + 0.281212i
\(712\) −0.390638 + 2.21542i −0.0146398 + 0.0830264i
\(713\) −1.45346 + 8.24296i −0.0544323 + 0.308701i
\(714\) −5.46599 9.46737i −0.204559 0.354307i
\(715\) 4.90615 8.49771i 0.183480 0.317796i
\(716\) 13.0015 + 10.9096i 0.485890 + 0.407710i
\(717\) 1.09859 + 0.399855i 0.0410277 + 0.0149329i
\(718\) −10.4611 + 3.80753i −0.390405 + 0.142096i
\(719\) −30.6693 + 25.7346i −1.14377 + 0.959739i −0.999556 0.0298074i \(-0.990511\pi\)
−0.144216 + 0.989546i \(0.546066\pi\)
\(720\) 0.173648 + 0.984808i 0.00647149 + 0.0367016i
\(721\) 18.1937 0.677567
\(722\) 14.3458 12.4579i 0.533894 0.463634i
\(723\) 2.59364 0.0964584
\(724\) −1.14845 6.51319i −0.0426818 0.242061i
\(725\) 0.425884 0.357359i 0.0158169 0.0132720i
\(726\) 6.69929 2.43834i 0.248634 0.0904954i
\(727\) −9.07012 3.30126i −0.336392 0.122437i 0.168301 0.985736i \(-0.446172\pi\)
−0.504693 + 0.863299i \(0.668394\pi\)
\(728\) 9.30434 + 7.80727i 0.344842 + 0.289357i
\(729\) −0.500000 + 0.866025i −0.0185185 + 0.0320750i
\(730\) −1.59901 2.76956i −0.0591819 0.102506i
\(731\) −1.75663 + 9.96235i −0.0649714 + 0.368471i
\(732\) 0.273019 1.54837i 0.0100911 0.0572294i
\(733\) 23.5805 + 40.8426i 0.870964 + 1.50855i 0.861001 + 0.508604i \(0.169838\pi\)
0.00996370 + 0.999950i \(0.496828\pi\)
\(734\) −9.05497 + 15.6837i −0.334225 + 0.578895i
\(735\) −0.819004 0.687226i −0.0302094 0.0253487i
\(736\) 1.62113 + 0.590043i 0.0597556 + 0.0217493i
\(737\) −11.3066 + 4.11528i −0.416485 + 0.151588i
\(738\) 2.99752 2.51522i 0.110340 0.0925865i
\(739\) 0.239257 + 1.35690i 0.00880122 + 0.0499142i 0.988892 0.148635i \(-0.0474880\pi\)
−0.980091 + 0.198550i \(0.936377\pi\)
\(740\) −1.63440 −0.0600818
\(741\) −10.7098 + 18.9184i −0.393435 + 0.694985i
\(742\) −3.41139 −0.125236
\(743\) −3.14802 17.8533i −0.115490 0.654974i −0.986507 0.163721i \(-0.947650\pi\)
0.871017 0.491253i \(-0.163461\pi\)
\(744\) 3.71667 3.11866i 0.136260 0.114335i
\(745\) 1.20694 0.439290i 0.0442189 0.0160944i
\(746\) 33.0034 + 12.0122i 1.20834 + 0.439799i
\(747\) −11.0217 9.24833i −0.403264 0.338379i
\(748\) 4.41578 7.64836i 0.161457 0.279652i
\(749\) −7.44728 12.8991i −0.272118 0.471322i
\(750\) 0.173648 0.984808i 0.00634073 0.0359601i
\(751\) −3.62351 + 20.5499i −0.132224 + 0.749878i 0.844529 + 0.535510i \(0.179880\pi\)
−0.976753 + 0.214368i \(0.931231\pi\)
\(752\) −3.44021 5.95861i −0.125451 0.217288i
\(753\) −1.60843 + 2.78589i −0.0586146 + 0.101523i
\(754\) 2.12405 + 1.78229i 0.0773532 + 0.0649070i
\(755\) 1.23753 + 0.450424i 0.0450383 + 0.0163926i
\(756\) −2.28847 + 0.832934i −0.0832308 + 0.0302935i
\(757\) 18.0629 15.1566i 0.656507 0.550875i −0.252531 0.967589i \(-0.581263\pi\)
0.909037 + 0.416714i \(0.136818\pi\)
\(758\) 6.25438 + 35.4704i 0.227169 + 1.28834i
\(759\) 3.39414 0.123200
\(760\) −4.10851 1.45607i −0.149031 0.0528171i
\(761\) 4.33824 0.157261 0.0786306 0.996904i \(-0.474945\pi\)
0.0786306 + 0.996904i \(0.474945\pi\)
\(762\) 2.80747 + 15.9220i 0.101704 + 0.576792i
\(763\) −9.58088 + 8.03932i −0.346851 + 0.291043i
\(764\) 25.0915 9.13258i 0.907780 0.330405i
\(765\) −4.21818 1.53529i −0.152509 0.0555086i
\(766\) −4.31150 3.61778i −0.155781 0.130716i
\(767\) 23.1966 40.1777i 0.837580 1.45073i
\(768\) −0.500000 0.866025i −0.0180422 0.0312500i
\(769\) −8.06098 + 45.7161i −0.290686 + 1.64856i 0.393550 + 0.919303i \(0.371247\pi\)
−0.684236 + 0.729260i \(0.739864\pi\)
\(770\) −0.832008 + 4.71855i −0.0299835 + 0.170045i
\(771\) 15.2498 + 26.4135i 0.549210 + 0.951259i
\(772\) −12.1316 + 21.0125i −0.436625 + 0.756257i
\(773\) 3.28608 + 2.75735i 0.118192 + 0.0991749i 0.699968 0.714174i \(-0.253198\pi\)
−0.581776 + 0.813349i \(0.697642\pi\)
\(774\) 2.11766 + 0.770766i 0.0761178 + 0.0277046i
\(775\) −4.55917 + 1.65940i −0.163770 + 0.0596075i
\(776\) −6.15743 + 5.16670i −0.221039 + 0.185474i
\(777\) −0.691175 3.91985i −0.0247958 0.140624i
\(778\) −2.39139 −0.0857355
\(779\) 3.10403 + 16.7715i 0.111213 + 0.600901i
\(780\) 4.98738 0.178577
\(781\) −1.47179 8.34692i −0.0526647 0.298676i
\(782\) −5.93233 + 4.97781i −0.212140 + 0.178006i
\(783\) −0.522424 + 0.190147i −0.0186699 + 0.00679529i
\(784\) 1.00466 + 0.365665i 0.0358806 + 0.0130595i
\(785\) −7.15987 6.00785i −0.255547 0.214429i
\(786\) −8.21722 + 14.2326i −0.293098 + 0.507661i
\(787\) −6.46783 11.2026i −0.230553 0.399330i 0.727418 0.686195i \(-0.240720\pi\)
−0.957971 + 0.286865i \(0.907387\pi\)
\(788\) −2.24227 + 12.7165i −0.0798776 + 0.453008i
\(789\) −2.80522 + 15.9092i −0.0998684 + 0.566382i
\(790\) 4.32921 + 7.49840i 0.154026 + 0.266781i
\(791\) −14.2226 + 24.6343i −0.505698 + 0.875894i
\(792\) −1.50714 1.26464i −0.0535537 0.0449369i
\(793\) −7.36855 2.68193i −0.261665 0.0952382i
\(794\) 18.3400 6.67522i 0.650862 0.236895i
\(795\) −1.07307 + 0.900409i −0.0380577 + 0.0319342i
\(796\) −3.56727 20.2310i −0.126438 0.717068i
\(797\) −27.8140 −0.985222 −0.492611 0.870250i \(-0.663957\pi\)
−0.492611 + 0.870250i \(0.663957\pi\)
\(798\) 1.75469 10.4694i 0.0621153 0.370611i
\(799\) 30.8855 1.09265
\(800\) 0.173648 + 0.984808i 0.00613939 + 0.0348182i
\(801\) −1.72329 + 1.44601i −0.0608895 + 0.0510924i
\(802\) 23.5393 8.56762i 0.831203 0.302533i
\(803\) 5.91241 + 2.15194i 0.208644 + 0.0759403i
\(804\) −4.68493 3.93112i −0.165225 0.138640i
\(805\) 2.10068 3.63849i 0.0740394 0.128240i
\(806\) −12.0988 20.9558i −0.426162 0.738135i
\(807\) −1.02424 + 5.80877i −0.0360550 + 0.204478i
\(808\) −2.28743 + 12.9727i −0.0804715 + 0.456376i
\(809\) −19.1798 33.2204i −0.674325 1.16797i −0.976666 0.214766i \(-0.931101\pi\)
0.302340 0.953200i \(-0.402232\pi\)
\(810\) −0.500000 + 0.866025i −0.0175682 + 0.0304290i
\(811\) 5.75867 + 4.83210i 0.202214 + 0.169678i 0.738271 0.674504i \(-0.235642\pi\)
−0.536057 + 0.844182i \(0.680087\pi\)
\(812\) −1.27228 0.463071i −0.0446482 0.0162506i
\(813\) −22.3790 + 8.14530i −0.784867 + 0.285668i
\(814\) 2.46326 2.06692i 0.0863373 0.0724456i
\(815\) 3.95792 + 22.4465i 0.138640 + 0.786267i
\(816\) 4.48890 0.157143
\(817\) −7.47114 + 6.37770i −0.261382 + 0.223127i
\(818\) 19.5011 0.681841
\(819\) 2.10912 + 11.9614i 0.0736987 + 0.417966i
\(820\) 2.99752 2.51522i 0.104678 0.0878353i
\(821\) −19.4279 + 7.07118i −0.678039 + 0.246786i −0.658005 0.753013i \(-0.728600\pi\)
−0.0200337 + 0.999799i \(0.506377\pi\)
\(822\) 18.7888 + 6.83857i 0.655335 + 0.238523i
\(823\) −8.53515 7.16184i −0.297517 0.249646i 0.481793 0.876285i \(-0.339986\pi\)
−0.779310 + 0.626639i \(0.784430\pi\)
\(824\) −3.73535 + 6.46981i −0.130127 + 0.225387i
\(825\) 0.983713 + 1.70384i 0.0342485 + 0.0593201i
\(826\) −3.93378 + 22.3096i −0.136874 + 0.776250i
\(827\) 4.56400 25.8837i 0.158706 0.900065i −0.796613 0.604489i \(-0.793377\pi\)
0.955319 0.295576i \(-0.0955116\pi\)
\(828\) 0.862584 + 1.49404i 0.0299769 + 0.0519215i
\(829\) 4.09413 7.09124i 0.142195 0.246289i −0.786128 0.618064i \(-0.787917\pi\)
0.928323 + 0.371775i \(0.121251\pi\)
\(830\) −11.0217 9.24833i −0.382570 0.321014i
\(831\) −12.3304 4.48790i −0.427737 0.155684i
\(832\) −4.68661 + 1.70579i −0.162479 + 0.0591375i
\(833\) −3.67642 + 3.08489i −0.127381 + 0.106885i
\(834\) 3.46765 + 19.6660i 0.120075 + 0.680979i
\(835\) 1.54107 0.0533309
\(836\) 8.03348 3.00128i 0.277844 0.103802i
\(837\) 4.85177 0.167702
\(838\) 2.59300 + 14.7056i 0.0895736 + 0.507997i
\(839\) 30.0051 25.1773i 1.03589 0.869216i 0.0443508 0.999016i \(-0.485878\pi\)
0.991540 + 0.129800i \(0.0414336\pi\)
\(840\) −2.28847 + 0.832934i −0.0789597 + 0.0287390i
\(841\) 26.9606 + 9.81287i 0.929677 + 0.338375i
\(842\) 24.9795 + 20.9603i 0.860852 + 0.722340i
\(843\) −3.08458 + 5.34264i −0.106238 + 0.184010i
\(844\) 4.64163 + 8.03954i 0.159772 + 0.276733i
\(845\) 2.06190 11.6936i 0.0709314 0.402272i
\(846\) 1.19477 6.77588i 0.0410771 0.232960i
\(847\) 8.68105 + 15.0360i 0.298284 + 0.516643i
\(848\) 0.700394 1.21312i 0.0240516 0.0416586i
\(849\) −9.99218 8.38444i −0.342931 0.287753i
\(850\) −4.21818 1.53529i −0.144682 0.0526601i
\(851\) −2.64957 + 0.964366i −0.0908262 + 0.0330580i
\(852\) 3.30013 2.76913i 0.113060 0.0948690i
\(853\) −3.73907 21.2053i −0.128023 0.726055i −0.979466 0.201608i \(-0.935383\pi\)
0.851443 0.524447i \(-0.175728\pi\)
\(854\) 3.82897 0.131025
\(855\) −2.21136 3.75631i −0.0756269 0.128463i
\(856\) 6.11602 0.209041
\(857\) 5.09369 + 28.8877i 0.173997 + 0.986786i 0.939295 + 0.343110i \(0.111480\pi\)
−0.765298 + 0.643676i \(0.777408\pi\)
\(858\) −7.51666 + 6.30723i −0.256615 + 0.215325i
\(859\) 42.9771 15.6424i 1.46636 0.533711i 0.519250 0.854622i \(-0.326211\pi\)
0.947109 + 0.320911i \(0.103989\pi\)
\(860\) 2.11766 + 0.770766i 0.0722117 + 0.0262829i
\(861\) 7.29998 + 6.12541i 0.248783 + 0.208753i
\(862\) −2.20433 + 3.81800i −0.0750796 + 0.130042i
\(863\) −13.8308 23.9557i −0.470806 0.815461i 0.528636 0.848849i \(-0.322704\pi\)
−0.999442 + 0.0333879i \(0.989370\pi\)
\(864\) 0.173648 0.984808i 0.00590763 0.0335038i
\(865\) −1.95424 + 11.0830i −0.0664462 + 0.376835i
\(866\) −5.88847 10.1991i −0.200098 0.346580i
\(867\) −1.57509 + 2.72814i −0.0534929 + 0.0926525i
\(868\) 9.05134 + 7.59498i 0.307223 + 0.257790i
\(869\) −16.0075 5.82624i −0.543016 0.197642i
\(870\) −0.522424 + 0.190147i −0.0177118 + 0.00644658i
\(871\) −23.3655 + 19.6060i −0.791711 + 0.664324i
\(872\) −0.891790 5.05759i −0.0301998 0.171272i
\(873\) −8.03796 −0.272044
\(874\) −7.51957 + 0.0637233i −0.254353 + 0.00215547i
\(875\) 2.43534 0.0823294
\(876\) 0.555329 + 3.14943i 0.0187628 + 0.106409i
\(877\) 20.5610 17.2527i 0.694296 0.582583i −0.225849 0.974162i \(-0.572516\pi\)
0.920144 + 0.391579i \(0.128071\pi\)
\(878\) 0.541869 0.197224i 0.0182872 0.00665600i
\(879\) −18.3441 6.67672i −0.618732 0.225200i
\(880\) −1.50714 1.26464i −0.0508055 0.0426309i
\(881\) 6.76783 11.7222i 0.228014 0.394932i −0.729205 0.684295i \(-0.760110\pi\)
0.957219 + 0.289363i \(0.0934434\pi\)
\(882\) 0.534567 + 0.925897i 0.0179998 + 0.0311766i
\(883\) −9.61193 + 54.5120i −0.323467 + 1.83447i 0.196767 + 0.980450i \(0.436956\pi\)
−0.520234 + 0.854024i \(0.674155\pi\)
\(884\) 3.88761 22.0477i 0.130754 0.741545i
\(885\) 4.65105 + 8.05586i 0.156343 + 0.270795i
\(886\) −0.532313 + 0.921993i −0.0178834 + 0.0309750i
\(887\) 2.20389 + 1.84928i 0.0739994 + 0.0620929i 0.679037 0.734104i \(-0.262398\pi\)
−0.605038 + 0.796197i \(0.706842\pi\)
\(888\) 1.53583 + 0.558998i 0.0515392 + 0.0187587i
\(889\) −36.9990 + 13.4665i −1.24091 + 0.451653i
\(890\) −1.72329 + 1.44601i −0.0577649 + 0.0484705i
\(891\) −0.341640 1.93754i −0.0114454 0.0649099i
\(892\) 5.96073 0.199580
\(893\) 23.1370 + 19.0825i 0.774250 + 0.638571i
\(894\) −1.28440 −0.0429567
\(895\) 2.94721 + 16.7144i 0.0985143 + 0.558702i
\(896\) 1.86558 1.56540i 0.0623245 0.0522965i
\(897\) 8.08519 2.94277i 0.269957 0.0982562i
\(898\) 6.59082 + 2.39886i 0.219939 + 0.0800511i
\(899\) 2.06629 + 1.73382i 0.0689146 + 0.0578262i
\(900\) −0.500000 + 0.866025i −0.0166667 + 0.0288675i
\(901\) 3.14400 + 5.44556i 0.104742 + 0.181418i
\(902\) −1.33683 + 7.58155i −0.0445117 + 0.252438i
\(903\) −0.953016 + 5.40482i −0.0317144 + 0.179861i
\(904\) −5.84010 10.1153i −0.194239 0.336431i
\(905\) 3.30683 5.72760i 0.109923 0.190392i
\(906\) −1.00884 0.846520i −0.0335166 0.0281237i
\(907\) −6.57926 2.39466i −0.218461 0.0795132i 0.230471 0.973079i \(-0.425973\pi\)
−0.448932 + 0.893566i \(0.648195\pi\)
\(908\) −20.4499 + 7.44316i −0.678655 + 0.247010i
\(909\) −10.0909 + 8.46730i −0.334695 + 0.280843i
\(910\) 2.10912 + 11.9614i 0.0699168 + 0.396518i
\(911\) −1.92528 −0.0637872 −0.0318936 0.999491i \(-0.510154\pi\)
−0.0318936 + 0.999491i \(0.510154\pi\)
\(912\) 3.36273 + 2.77345i 0.111351 + 0.0918381i
\(913\) 28.3070 0.936825
\(914\) −0.465567 2.64036i −0.0153996 0.0873354i
\(915\) 1.20442 1.01063i 0.0398168 0.0334103i
\(916\) −16.3138 + 5.93775i −0.539024 + 0.196189i
\(917\) −37.6097 13.6888i −1.24198 0.452044i
\(918\) 3.43869 + 2.88541i 0.113494 + 0.0952326i
\(919\) −1.61555 + 2.79821i −0.0532920 + 0.0923045i −0.891441 0.453137i \(-0.850305\pi\)
0.838149 + 0.545442i \(0.183638\pi\)
\(920\) 0.862584 + 1.49404i 0.0284386 + 0.0492570i
\(921\) −4.13400 + 23.4451i −0.136220 + 0.772542i
\(922\) −3.97077 + 22.5193i −0.130770 + 0.741635i
\(923\) −10.7428 18.6072i −0.353605 0.612462i
\(924\) 2.39567 4.14943i 0.0788118 0.136506i
\(925\) −1.25202 1.05057i −0.0411663 0.0345426i
\(926\) −26.9652 9.81454i −0.886133 0.322526i
\(927\) −7.02016 + 2.55513i −0.230572 + 0.0839214i
\(928\) 0.425884 0.357359i 0.0139803 0.0117309i
\(929\) −5.09091 28.8720i −0.167027 0.947259i −0.946949 0.321383i \(-0.895852\pi\)
0.779922 0.625877i \(-0.215259\pi\)
\(930\) 4.85177 0.159096
\(931\) −4.66008 + 0.0394910i −0.152728 + 0.00129427i
\(932\) −28.8815 −0.946045
\(933\) 2.12771 + 12.0669i 0.0696582 + 0.395051i
\(934\) 12.4875 10.4783i 0.408604 0.342860i
\(935\) 8.29896 3.02057i 0.271405 0.0987834i
\(936\) −4.68661 1.70579i −0.153187 0.0557553i
\(937\) 37.9595 + 31.8518i 1.24008 + 1.04055i 0.997518 + 0.0704167i \(0.0224329\pi\)
0.242564 + 0.970135i \(0.422012\pi\)
\(938\) 7.44694 12.8985i 0.243151 0.421150i
\(939\) 13.1967 + 22.8574i 0.430659 + 0.745923i
\(940\) 1.19477 6.77588i 0.0389691 0.221005i
\(941\) −5.37952 + 30.5088i −0.175367 + 0.994558i 0.762352 + 0.647163i \(0.224045\pi\)
−0.937719 + 0.347395i \(0.887066\pi\)
\(942\) 4.67328 + 8.09435i 0.152264 + 0.263728i
\(943\) 3.37528 5.84616i 0.109914 0.190377i
\(944\) −7.12583 5.97928i −0.231926 0.194609i
\(945\) −2.28847 0.832934i −0.0744439 0.0270954i
\(946\) −4.16634 + 1.51643i −0.135460 + 0.0493032i
\(947\) −30.6731 + 25.7378i −0.996742 + 0.836366i −0.986530 0.163582i \(-0.947695\pi\)
−0.0102121 + 0.999948i \(0.503251\pi\)
\(948\) −1.50352 8.52687i −0.0488320 0.276940i
\(949\) 15.9497 0.517750
\(950\) −2.21136 3.75631i −0.0717460 0.121871i
\(951\) 15.8764 0.514826
\(952\) 1.89832 + 10.7659i 0.0615248 + 0.348925i
\(953\) −24.6650 + 20.6964i −0.798978 + 0.670422i −0.947950 0.318419i \(-0.896848\pi\)
0.148972 + 0.988841i \(0.452404\pi\)
\(954\) 1.31631 0.479098i 0.0426171 0.0155114i
\(955\) 25.0915 + 9.13258i 0.811943 + 0.295523i
\(956\) −0.895581 0.751482i −0.0289652 0.0243047i
\(957\) 0.546897 0.947253i 0.0176787 0.0306203i
\(958\) 18.9967 + 32.9033i 0.613756 + 1.06306i
\(959\) −8.45557 + 47.9539i −0.273045 + 1.54851i
\(960\) 0.173648 0.984808i 0.00560447 0.0317845i
\(961\) 3.73018 + 6.46086i 0.120328 + 0.208415i
\(962\) 4.07569 7.05930i 0.131406 0.227601i
\(963\) 4.68514 + 3.93130i 0.150977 + 0.126684i
\(964\) −2.43722 0.887076i −0.0784976 0.0285708i
\(965\) −22.7999 + 8.29849i −0.733956 + 0.267138i
\(966\) −3.21843 + 2.70059i −0.103551 + 0.0868900i
\(967\) −1.13506 6.43722i −0.0365009 0.207007i 0.961103 0.276190i \(-0.0890719\pi\)
−0.997604 + 0.0691830i \(0.977961\pi\)
\(968\) −7.12924 −0.229142
\(969\) −18.3293 + 6.84775i −0.588821 + 0.219982i
\(970\) −8.03796 −0.258083
\(971\) −1.52989 8.67642i −0.0490964 0.278440i 0.950369 0.311124i \(-0.100705\pi\)
−0.999466 + 0.0326845i \(0.989594\pi\)
\(972\) 0.766044 0.642788i 0.0245709 0.0206174i
\(973\) −45.6994 + 16.6332i −1.46505 + 0.533236i
\(974\) 40.2752 + 14.6590i 1.29050 + 0.469704i
\(975\) 3.82056 + 3.20583i 0.122356 + 0.102669i
\(976\) −0.786128 + 1.36161i −0.0251634 + 0.0435842i
\(977\) −17.3721 30.0893i −0.555782 0.962643i −0.997842 0.0656573i \(-0.979086\pi\)
0.442060 0.896985i \(-0.354248\pi\)
\(978\) 3.95792 22.4465i 0.126560 0.717760i
\(979\) 0.768552 4.35868i 0.0245630 0.139304i
\(980\) 0.534567 + 0.925897i 0.0170761 + 0.0295767i
\(981\) 2.56781 4.44757i 0.0819838 0.142000i
\(982\) 27.4119 + 23.0013i 0.874749 + 0.734001i
\(983\) 5.10351 + 1.85752i 0.162777 + 0.0592458i 0.422123 0.906538i \(-0.361285\pi\)
−0.259347 + 0.965784i \(0.583507\pi\)
\(984\) −3.67700 + 1.33832i −0.117219 + 0.0426641i
\(985\) −9.89172 + 8.30013i −0.315176 + 0.264464i
\(986\) 0.433358 + 2.45770i 0.0138009 + 0.0782690i
\(987\) 16.7561 0.533353
\(988\) 16.5344 14.1145i 0.526030 0.449042i
\(989\) 3.88779 0.123624
\(990\) −0.341640 1.93754i −0.0108580 0.0615789i
\(991\) 0.242290 0.203305i 0.00769658 0.00645820i −0.638931 0.769264i \(-0.720623\pi\)
0.646628 + 0.762806i \(0.276179\pi\)
\(992\) −4.55917 + 1.65940i −0.144754 + 0.0526861i
\(993\) −23.6792 8.61854i −0.751438 0.273501i
\(994\) 8.03692 + 6.74378i 0.254916 + 0.213900i
\(995\) 10.2715 17.7908i 0.325629 0.564007i
\(996\) 7.19392 + 12.4602i 0.227948 + 0.394818i
\(997\) 2.98316 16.9183i 0.0944775 0.535809i −0.900429 0.435004i \(-0.856747\pi\)
0.994906 0.100805i \(-0.0321418\pi\)
\(998\) 5.58578 31.6785i 0.176815 1.00277i
\(999\) 0.817200 + 1.41543i 0.0258551 + 0.0447823i
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.i.541.1 yes 12
19.17 even 9 inner 570.2.u.i.511.1 12
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
570.2.u.i.511.1 12 19.17 even 9 inner
570.2.u.i.541.1 yes 12 1.1 even 1 trivial