Properties

Label 418.2.q.b.21.4
Level $418$
Weight $2$
Character 418.21
Analytic conductor $3.338$
Analytic rank $0$
Dimension $60$
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] = [418,2,Mod(21,418)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(418, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("418.21");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.q (of order \(18\), 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: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 21.4
Character \(\chi\) \(=\) 418.21
Dual form 418.2.q.b.219.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.173648 - 0.984808i) q^{2} +(-0.596920 + 0.711382i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.587101 - 0.213687i) q^{5} +(0.596920 + 0.711382i) q^{6} +(1.73498 - 1.00169i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.371194 + 2.10515i) q^{9} +O(q^{10})\) \(q+(0.173648 - 0.984808i) q^{2} +(-0.596920 + 0.711382i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.587101 - 0.213687i) q^{5} +(0.596920 + 0.711382i) q^{6} +(1.73498 - 1.00169i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.371194 + 2.10515i) q^{9} +(-0.108492 - 0.615288i) q^{10} +(-1.98684 - 2.65565i) q^{11} +(0.804229 - 0.464322i) q^{12} +(2.81401 - 2.36123i) q^{13} +(-0.685198 - 1.88257i) q^{14} +(-0.198439 + 0.545208i) q^{15} +(0.766044 + 0.642788i) q^{16} +(6.52738 + 1.15095i) q^{17} +2.13762 q^{18} +(3.72113 - 2.27006i) q^{19} -0.624780 q^{20} +(-0.323060 + 1.83217i) q^{21} +(-2.96031 + 1.49551i) q^{22} +(0.0514560 + 0.0187284i) q^{23} +(-0.317615 - 0.872639i) q^{24} +(-3.53120 + 2.96303i) q^{25} +(-1.83671 - 3.18128i) q^{26} +(-4.13182 - 2.38551i) q^{27} +(-1.97295 + 0.347884i) q^{28} +(-0.682976 - 3.87335i) q^{29} +(0.502466 + 0.290099i) q^{30} +(8.00685 - 4.62276i) q^{31} +(0.766044 - 0.642788i) q^{32} +(3.07517 + 0.171807i) q^{33} +(2.26694 - 6.22835i) q^{34} +(0.804561 - 0.958839i) q^{35} +(0.371194 - 2.10515i) q^{36} -0.891999i q^{37} +(-1.58940 - 4.05879i) q^{38} +3.41130i q^{39} +(-0.108492 + 0.615288i) q^{40} +(-2.38237 - 1.99905i) q^{41} +(1.74823 + 0.636304i) q^{42} +(0.660856 + 1.81569i) q^{43} +(0.958735 + 3.17503i) q^{44} +(0.667772 + 1.15661i) q^{45} +(0.0273792 - 0.0474221i) q^{46} +(-0.340081 - 1.92869i) q^{47} +(-0.914535 + 0.161257i) q^{48} +(-1.49322 + 2.58634i) q^{49} +(2.30482 + 3.99207i) q^{50} +(-4.71509 + 3.95643i) q^{51} +(-3.45189 + 1.25639i) q^{52} +(-3.91087 + 10.7450i) q^{53} +(-3.06675 + 3.65481i) q^{54} +(-1.73396 - 1.13457i) q^{55} +2.00338i q^{56} +(-0.606343 + 4.00219i) q^{57} -3.93310 q^{58} +(-5.63721 - 0.993993i) q^{59} +(0.372944 - 0.444457i) q^{60} +(0.881398 - 2.42162i) q^{61} +(-3.16215 - 8.68794i) q^{62} +(2.75272 + 3.28057i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.14754 - 1.98760i) q^{65} +(0.703193 - 2.99861i) q^{66} +(10.2810 - 1.81282i) q^{67} +(-5.74008 - 3.31404i) q^{68} +(-0.0440382 + 0.0254255i) q^{69} +(-0.804561 - 0.958839i) q^{70} +(4.93616 + 13.5620i) q^{71} +(-2.00871 - 0.731110i) q^{72} +(-8.96655 + 10.6859i) q^{73} +(-0.878447 - 0.154894i) q^{74} -4.28072i q^{75} +(-4.27313 + 0.860453i) q^{76} +(-6.10728 - 2.61730i) q^{77} +(3.35948 + 0.592367i) q^{78} +(-7.79364 - 6.53964i) q^{79} +(0.587101 + 0.213687i) q^{80} +(-1.86274 + 0.677983i) q^{81} +(-2.38237 + 1.99905i) q^{82} +(-15.3744 + 8.87642i) q^{83} +(0.930215 - 1.61118i) q^{84} +(4.07818 - 0.719093i) q^{85} +(1.90286 - 0.335525i) q^{86} +(3.16311 + 1.82622i) q^{87} +(3.29328 - 0.392832i) q^{88} +(7.51458 + 8.95553i) q^{89} +(1.25500 - 0.456783i) q^{90} +(2.51702 - 6.91547i) q^{91} +(-0.0419473 - 0.0351980i) q^{92} +(-1.49091 + 8.45535i) q^{93} -1.95845 q^{94} +(1.69960 - 2.12791i) q^{95} +0.928643i q^{96} +(8.40770 + 1.48251i) q^{97} +(2.28775 + 1.91965i) q^{98} +(4.85302 - 5.16835i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q - 3 q^{3} + 3 q^{6} + 18 q^{7} - 30 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q - 3 q^{3} + 3 q^{6} + 18 q^{7} - 30 q^{8} - 3 q^{9} + 3 q^{11} - 6 q^{13} - 12 q^{14} + 24 q^{15} + 6 q^{17} - 60 q^{18} + 30 q^{19} - 12 q^{20} - 12 q^{21} + 12 q^{22} - 3 q^{24} - 12 q^{25} + 6 q^{26} + 9 q^{27} - 6 q^{28} + 3 q^{29} - 9 q^{31} + 9 q^{33} - 6 q^{34} + 24 q^{35} - 3 q^{36} + 6 q^{38} - 15 q^{41} + 6 q^{42} + 3 q^{43} - 12 q^{44} - 48 q^{45} - 3 q^{46} + 54 q^{47} - 6 q^{48} + 6 q^{49} - 36 q^{50} + 45 q^{51} + 3 q^{52} + 24 q^{53} + 27 q^{54} - 48 q^{55} - 30 q^{57} + 24 q^{58} - 39 q^{59} + 12 q^{60} - 54 q^{61} + 66 q^{63} - 30 q^{64} - 30 q^{66} + 9 q^{67} + 27 q^{68} + 54 q^{69} - 24 q^{70} - 33 q^{71} + 6 q^{72} - 12 q^{74} + 18 q^{77} - 36 q^{79} - 93 q^{81} - 15 q^{82} + 36 q^{83} - 24 q^{84} + 60 q^{85} - 3 q^{86} - 54 q^{87} + 3 q^{88} - 3 q^{89} + 24 q^{90} - 12 q^{91} - 102 q^{93} + 12 q^{94} - 24 q^{95} - 6 q^{97} + 18 q^{98} + 75 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(-1\)

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
\(3\) −0.596920 + 0.711382i −0.344632 + 0.410717i −0.910322 0.413902i \(-0.864166\pi\)
0.565689 + 0.824618i \(0.308610\pi\)
\(4\) −0.939693 0.342020i −0.469846 0.171010i
\(5\) 0.587101 0.213687i 0.262560 0.0955639i −0.207386 0.978259i \(-0.566496\pi\)
0.469946 + 0.882695i \(0.344273\pi\)
\(6\) 0.596920 + 0.711382i 0.243692 + 0.290421i
\(7\) 1.73498 1.00169i 0.655762 0.378604i −0.134899 0.990859i \(-0.543071\pi\)
0.790660 + 0.612255i \(0.209738\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 0.371194 + 2.10515i 0.123731 + 0.701715i
\(10\) −0.108492 0.615288i −0.0343082 0.194571i
\(11\) −1.98684 2.65565i −0.599055 0.800708i
\(12\) 0.804229 0.464322i 0.232161 0.134038i
\(13\) 2.81401 2.36123i 0.780466 0.654888i −0.162900 0.986643i \(-0.552085\pi\)
0.943366 + 0.331754i \(0.107640\pi\)
\(14\) −0.685198 1.88257i −0.183127 0.503137i
\(15\) −0.198439 + 0.545208i −0.0512368 + 0.140772i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) 6.52738 + 1.15095i 1.58312 + 0.279147i 0.894871 0.446325i \(-0.147268\pi\)
0.688251 + 0.725472i \(0.258379\pi\)
\(18\) 2.13762 0.503842
\(19\) 3.72113 2.27006i 0.853687 0.520787i
\(20\) −0.624780 −0.139705
\(21\) −0.323060 + 1.83217i −0.0704975 + 0.399811i
\(22\) −2.96031 + 1.49551i −0.631141 + 0.318843i
\(23\) 0.0514560 + 0.0187284i 0.0107293 + 0.00390515i 0.347379 0.937725i \(-0.387072\pi\)
−0.336650 + 0.941630i \(0.609294\pi\)
\(24\) −0.317615 0.872639i −0.0648328 0.178127i
\(25\) −3.53120 + 2.96303i −0.706239 + 0.592605i
\(26\) −1.83671 3.18128i −0.360209 0.623901i
\(27\) −4.13182 2.38551i −0.795170 0.459091i
\(28\) −1.97295 + 0.347884i −0.372852 + 0.0657439i
\(29\) −0.682976 3.87335i −0.126825 0.719263i −0.980207 0.197976i \(-0.936563\pi\)
0.853381 0.521287i \(-0.174548\pi\)
\(30\) 0.502466 + 0.290099i 0.0917374 + 0.0529646i
\(31\) 8.00685 4.62276i 1.43807 0.830272i 0.440357 0.897823i \(-0.354852\pi\)
0.997716 + 0.0675510i \(0.0215186\pi\)
\(32\) 0.766044 0.642788i 0.135419 0.113630i
\(33\) 3.07517 + 0.171807i 0.535318 + 0.0299077i
\(34\) 2.26694 6.22835i 0.388776 1.06815i
\(35\) 0.804561 0.958839i 0.135996 0.162073i
\(36\) 0.371194 2.10515i 0.0618657 0.350858i
\(37\) 0.891999i 0.146644i −0.997308 0.0733218i \(-0.976640\pi\)
0.997308 0.0733218i \(-0.0233600\pi\)
\(38\) −1.58940 4.05879i −0.257835 0.658423i
\(39\) 3.41130i 0.546246i
\(40\) −0.108492 + 0.615288i −0.0171541 + 0.0972856i
\(41\) −2.38237 1.99905i −0.372064 0.312199i 0.437513 0.899212i \(-0.355859\pi\)
−0.809578 + 0.587013i \(0.800304\pi\)
\(42\) 1.74823 + 0.636304i 0.269758 + 0.0981839i
\(43\) 0.660856 + 1.81569i 0.100780 + 0.276890i 0.979828 0.199843i \(-0.0640432\pi\)
−0.879048 + 0.476733i \(0.841821\pi\)
\(44\) 0.958735 + 3.17503i 0.144535 + 0.478654i
\(45\) 0.667772 + 1.15661i 0.0995455 + 0.172418i
\(46\) 0.0273792 0.0474221i 0.00403684 0.00699201i
\(47\) −0.340081 1.92869i −0.0496058 0.281329i 0.949907 0.312532i \(-0.101177\pi\)
−0.999513 + 0.0312033i \(0.990066\pi\)
\(48\) −0.914535 + 0.161257i −0.132002 + 0.0232755i
\(49\) −1.49322 + 2.58634i −0.213318 + 0.369477i
\(50\) 2.30482 + 3.99207i 0.325951 + 0.564564i
\(51\) −4.71509 + 3.95643i −0.660245 + 0.554011i
\(52\) −3.45189 + 1.25639i −0.478691 + 0.174229i
\(53\) −3.91087 + 10.7450i −0.537200 + 1.47594i 0.313138 + 0.949708i \(0.398620\pi\)
−0.850338 + 0.526237i \(0.823603\pi\)
\(54\) −3.06675 + 3.65481i −0.417332 + 0.497357i
\(55\) −1.73396 1.13457i −0.233807 0.152986i
\(56\) 2.00338i 0.267714i
\(57\) −0.606343 + 4.00219i −0.0803121 + 0.530103i
\(58\) −3.93310 −0.516441
\(59\) −5.63721 0.993993i −0.733903 0.129407i −0.205808 0.978592i \(-0.565982\pi\)
−0.528095 + 0.849186i \(0.677093\pi\)
\(60\) 0.372944 0.444457i 0.0481469 0.0573792i
\(61\) 0.881398 2.42162i 0.112851 0.310057i −0.870391 0.492362i \(-0.836134\pi\)
0.983242 + 0.182305i \(0.0583559\pi\)
\(62\) −3.16215 8.68794i −0.401594 1.10337i
\(63\) 2.75272 + 3.28057i 0.346811 + 0.413313i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 1.14754 1.98760i 0.142335 0.246532i
\(66\) 0.703193 2.99861i 0.0865571 0.369104i
\(67\) 10.2810 1.81282i 1.25602 0.221471i 0.494254 0.869318i \(-0.335441\pi\)
0.761771 + 0.647847i \(0.224330\pi\)
\(68\) −5.74008 3.31404i −0.696087 0.401886i
\(69\) −0.0440382 + 0.0254255i −0.00530158 + 0.00306087i
\(70\) −0.804561 0.958839i −0.0961635 0.114603i
\(71\) 4.93616 + 13.5620i 0.585815 + 1.60951i 0.778077 + 0.628169i \(0.216195\pi\)
−0.192262 + 0.981344i \(0.561582\pi\)
\(72\) −2.00871 0.731110i −0.236728 0.0861621i
\(73\) −8.96655 + 10.6859i −1.04946 + 1.25069i −0.0822723 + 0.996610i \(0.526218\pi\)
−0.967183 + 0.254082i \(0.918227\pi\)
\(74\) −0.878447 0.154894i −0.102117 0.0180061i
\(75\) 4.28072i 0.494295i
\(76\) −4.27313 + 0.860453i −0.490161 + 0.0987007i
\(77\) −6.10728 2.61730i −0.695989 0.298269i
\(78\) 3.35948 + 0.592367i 0.380386 + 0.0670723i
\(79\) −7.79364 6.53964i −0.876853 0.735767i 0.0886762 0.996061i \(-0.471736\pi\)
−0.965530 + 0.260293i \(0.916181\pi\)
\(80\) 0.587101 + 0.213687i 0.0656399 + 0.0238910i
\(81\) −1.86274 + 0.677983i −0.206972 + 0.0753315i
\(82\) −2.38237 + 1.99905i −0.263089 + 0.220758i
\(83\) −15.3744 + 8.87642i −1.68756 + 0.974314i −0.731182 + 0.682182i \(0.761031\pi\)
−0.956378 + 0.292132i \(0.905635\pi\)
\(84\) 0.930215 1.61118i 0.101495 0.175794i
\(85\) 4.07818 0.719093i 0.442340 0.0779966i
\(86\) 1.90286 0.335525i 0.205191 0.0361806i
\(87\) 3.16311 + 1.82622i 0.339121 + 0.195792i
\(88\) 3.29328 0.392832i 0.351065 0.0418760i
\(89\) 7.51458 + 8.95553i 0.796544 + 0.949284i 0.999553 0.0298924i \(-0.00951648\pi\)
−0.203009 + 0.979177i \(0.565072\pi\)
\(90\) 1.25500 0.456783i 0.132289 0.0481491i
\(91\) 2.51702 6.91547i 0.263856 0.724938i
\(92\) −0.0419473 0.0351980i −0.00437331 0.00366964i
\(93\) −1.49091 + 8.45535i −0.154600 + 0.876779i
\(94\) −1.95845 −0.201998
\(95\) 1.69960 2.12791i 0.174375 0.218319i
\(96\) 0.928643i 0.0947793i
\(97\) 8.40770 + 1.48251i 0.853673 + 0.150526i 0.583327 0.812238i \(-0.301751\pi\)
0.270346 + 0.962763i \(0.412862\pi\)
\(98\) 2.28775 + 1.91965i 0.231098 + 0.193914i
\(99\) 4.85302 5.16835i 0.487747 0.519439i
\(100\) 4.33165 1.57659i 0.433165 0.157659i
\(101\) 3.70444 + 4.41479i 0.368606 + 0.439288i 0.918184 0.396155i \(-0.129656\pi\)
−0.549578 + 0.835443i \(0.685211\pi\)
\(102\) 3.07756 + 5.33049i 0.304724 + 0.527797i
\(103\) −14.4098 8.31950i −1.41984 0.819745i −0.423556 0.905870i \(-0.639218\pi\)
−0.996284 + 0.0861250i \(0.972552\pi\)
\(104\) 0.637884 + 3.61762i 0.0625497 + 0.354737i
\(105\) 0.201842 + 1.14470i 0.0196977 + 0.111711i
\(106\) 9.90268 + 5.71731i 0.961833 + 0.555315i
\(107\) −6.19600 10.7318i −0.598990 1.03748i −0.992970 0.118363i \(-0.962235\pi\)
0.393980 0.919119i \(-0.371098\pi\)
\(108\) 3.06675 + 3.65481i 0.295098 + 0.351684i
\(109\) −3.65905 + 1.33179i −0.350474 + 0.127562i −0.511257 0.859428i \(-0.670820\pi\)
0.160784 + 0.986990i \(0.448598\pi\)
\(110\) −1.41843 + 1.51060i −0.135242 + 0.144030i
\(111\) 0.634552 + 0.532452i 0.0602290 + 0.0505381i
\(112\) 1.97295 + 0.347884i 0.186426 + 0.0328720i
\(113\) 1.39656i 0.131377i −0.997840 0.0656884i \(-0.979076\pi\)
0.997840 0.0656884i \(-0.0209243\pi\)
\(114\) 3.83610 + 1.29210i 0.359284 + 0.121017i
\(115\) 0.0342119 0.00319028
\(116\) −0.682976 + 3.87335i −0.0634127 + 0.359631i
\(117\) 6.01529 + 5.04742i 0.556113 + 0.466634i
\(118\) −1.95778 + 5.37897i −0.180229 + 0.495174i
\(119\) 12.4778 4.54154i 1.14384 0.416323i
\(120\) −0.372944 0.444457i −0.0340450 0.0405732i
\(121\) −3.10492 + 10.5527i −0.282266 + 0.959336i
\(122\) −2.23178 1.28852i −0.202056 0.116657i
\(123\) 2.84418 0.501505i 0.256451 0.0452192i
\(124\) −9.10505 + 1.60547i −0.817658 + 0.144175i
\(125\) −3.00196 + 5.19955i −0.268503 + 0.465062i
\(126\) 3.70874 2.14124i 0.330400 0.190757i
\(127\) 8.69598 7.29679i 0.771643 0.647486i −0.169486 0.985533i \(-0.554211\pi\)
0.941129 + 0.338047i \(0.109766\pi\)
\(128\) −0.939693 + 0.342020i −0.0830579 + 0.0302306i
\(129\) −1.68613 0.613699i −0.148455 0.0540332i
\(130\) −1.75814 1.47525i −0.154199 0.129388i
\(131\) −7.34396 1.29494i −0.641645 0.113139i −0.156647 0.987655i \(-0.550069\pi\)
−0.484998 + 0.874515i \(0.661180\pi\)
\(132\) −2.83095 1.21321i −0.246403 0.105597i
\(133\) 4.18220 7.66594i 0.362643 0.664721i
\(134\) 10.4396i 0.901845i
\(135\) −2.93555 0.517617i −0.252652 0.0445494i
\(136\) −4.26044 + 5.07740i −0.365330 + 0.435383i
\(137\) −18.3590 6.68215i −1.56852 0.570894i −0.595851 0.803095i \(-0.703185\pi\)
−0.972668 + 0.232201i \(0.925407\pi\)
\(138\) 0.0173920 + 0.0477843i 0.00148051 + 0.00406767i
\(139\) 8.60285 + 10.2525i 0.729684 + 0.869604i 0.995533 0.0944110i \(-0.0300968\pi\)
−0.265849 + 0.964015i \(0.585652\pi\)
\(140\) −1.08398 + 0.625838i −0.0916132 + 0.0528929i
\(141\) 1.57504 + 0.909349i 0.132642 + 0.0765810i
\(142\) 14.2131 2.50616i 1.19274 0.210312i
\(143\) −11.8616 2.78162i −0.991916 0.232610i
\(144\) −1.06881 + 1.85123i −0.0890676 + 0.154270i
\(145\) −1.22866 2.12810i −0.102035 0.176729i
\(146\) 8.96655 + 10.6859i 0.742077 + 0.884373i
\(147\) −0.948540 2.60609i −0.0782343 0.214947i
\(148\) −0.305081 + 0.838204i −0.0250775 + 0.0689000i
\(149\) −1.39513 + 1.66266i −0.114294 + 0.136210i −0.820158 0.572137i \(-0.806114\pi\)
0.705864 + 0.708347i \(0.250559\pi\)
\(150\) −4.21569 0.743339i −0.344209 0.0606934i
\(151\) −6.94511 −0.565185 −0.282593 0.959240i \(-0.591194\pi\)
−0.282593 + 0.959240i \(0.591194\pi\)
\(152\) 0.105360 + 4.35763i 0.00854581 + 0.353450i
\(153\) 14.1683i 1.14544i
\(154\) −3.63805 + 5.56000i −0.293162 + 0.448038i
\(155\) 3.71301 4.42499i 0.298236 0.355424i
\(156\) 1.16673 3.20558i 0.0934135 0.256652i
\(157\) 21.5563 7.84583i 1.72038 0.626166i 0.722504 0.691367i \(-0.242991\pi\)
0.997872 + 0.0652011i \(0.0207689\pi\)
\(158\) −7.79364 + 6.53964i −0.620029 + 0.520266i
\(159\) −5.30935 9.19606i −0.421058 0.729295i
\(160\) 0.312390 0.541076i 0.0246966 0.0427758i
\(161\) 0.108035 0.0190495i 0.00851438 0.00150131i
\(162\) 0.344221 + 1.95218i 0.0270446 + 0.153377i
\(163\) 8.07550 13.9872i 0.632522 1.09556i −0.354512 0.935051i \(-0.615353\pi\)
0.987034 0.160509i \(-0.0513135\pi\)
\(164\) 1.55498 + 2.69331i 0.121424 + 0.210312i
\(165\) 1.84215 0.556256i 0.143411 0.0433045i
\(166\) 6.07183 + 16.6822i 0.471265 + 1.29479i
\(167\) −5.66988 2.06367i −0.438748 0.159691i 0.113195 0.993573i \(-0.463891\pi\)
−0.551944 + 0.833881i \(0.686114\pi\)
\(168\) −1.42517 1.19586i −0.109954 0.0922627i
\(169\) 0.0857939 0.486561i 0.00659953 0.0374278i
\(170\) 4.14109i 0.317607i
\(171\) 6.16007 + 6.99090i 0.471072 + 0.534608i
\(172\) 1.93221i 0.147330i
\(173\) 3.85868 21.8837i 0.293370 1.66378i −0.380385 0.924828i \(-0.624208\pi\)
0.673755 0.738955i \(-0.264681\pi\)
\(174\) 2.34775 2.79794i 0.177982 0.212111i
\(175\) −3.15852 + 8.67797i −0.238762 + 0.655993i
\(176\) 0.185008 3.31146i 0.0139455 0.249611i
\(177\) 4.07208 3.41688i 0.306076 0.256828i
\(178\) 10.1244 5.84531i 0.758854 0.438124i
\(179\) −8.05333 4.64959i −0.601934 0.347527i 0.167868 0.985809i \(-0.446312\pi\)
−0.769802 + 0.638283i \(0.779645\pi\)
\(180\) −0.231915 1.31525i −0.0172859 0.0980332i
\(181\) 11.9990 2.11574i 0.891877 0.157262i 0.291114 0.956689i \(-0.405974\pi\)
0.600764 + 0.799426i \(0.294863\pi\)
\(182\) −6.37333 3.67964i −0.472423 0.272753i
\(183\) 1.19657 + 2.07253i 0.0884532 + 0.153205i
\(184\) −0.0419473 + 0.0351980i −0.00309240 + 0.00259483i
\(185\) −0.190609 0.523694i −0.0140138 0.0385027i
\(186\) 8.06800 + 2.93651i 0.591574 + 0.215315i
\(187\) −9.91234 19.6212i −0.724862 1.43484i
\(188\) −0.340081 + 1.92869i −0.0248029 + 0.140664i
\(189\) −9.55818 −0.695256
\(190\) −1.80045 2.04329i −0.130619 0.148236i
\(191\) −20.7104 −1.49855 −0.749276 0.662258i \(-0.769598\pi\)
−0.749276 + 0.662258i \(0.769598\pi\)
\(192\) 0.914535 + 0.161257i 0.0660009 + 0.0116377i
\(193\) 5.84926 + 4.90811i 0.421039 + 0.353293i 0.828558 0.559903i \(-0.189162\pi\)
−0.407519 + 0.913197i \(0.633606\pi\)
\(194\) 2.91997 8.02254i 0.209641 0.575985i
\(195\) 0.728953 + 2.00278i 0.0522014 + 0.143422i
\(196\) 2.28775 1.91965i 0.163411 0.137118i
\(197\) 4.26737 2.46377i 0.304038 0.175536i −0.340218 0.940347i \(-0.610501\pi\)
0.644255 + 0.764810i \(0.277167\pi\)
\(198\) −4.24712 5.67677i −0.301829 0.403430i
\(199\) 2.26017 + 12.8181i 0.160219 + 0.908648i 0.953858 + 0.300259i \(0.0970730\pi\)
−0.793639 + 0.608389i \(0.791816\pi\)
\(200\) −0.800457 4.53962i −0.0566009 0.321000i
\(201\) −4.84734 + 8.39583i −0.341905 + 0.592196i
\(202\) 4.99098 2.88155i 0.351164 0.202745i
\(203\) −5.06485 6.03606i −0.355483 0.423648i
\(204\) 5.78392 2.10517i 0.404955 0.147392i
\(205\) −1.82587 0.664561i −0.127524 0.0464150i
\(206\) −10.6953 + 12.7462i −0.745180 + 0.888071i
\(207\) −0.0203260 + 0.115274i −0.00141275 + 0.00801211i
\(208\) 3.67343 0.254706
\(209\) −13.4218 5.37178i −0.928404 0.371574i
\(210\) 1.16236 0.0802104
\(211\) −3.19358 + 18.1117i −0.219855 + 1.24686i 0.652425 + 0.757853i \(0.273752\pi\)
−0.872280 + 0.489006i \(0.837359\pi\)
\(212\) 7.35004 8.75943i 0.504803 0.601600i
\(213\) −12.5943 4.58393i −0.862944 0.314086i
\(214\) −11.6447 + 4.23832i −0.796014 + 0.289725i
\(215\) 0.775979 + 0.924776i 0.0529213 + 0.0630692i
\(216\) 4.13182 2.38551i 0.281135 0.162313i
\(217\) 9.26116 16.0408i 0.628689 1.08892i
\(218\) 0.676166 + 3.83473i 0.0457957 + 0.259720i
\(219\) −2.24945 12.7573i −0.152004 0.862057i
\(220\) 1.24134 + 1.65920i 0.0836911 + 0.111863i
\(221\) 21.0858 12.1739i 1.41838 0.818903i
\(222\) 0.634552 0.532452i 0.0425883 0.0357358i
\(223\) 2.74837 + 7.55108i 0.184044 + 0.505658i 0.997063 0.0765793i \(-0.0243998\pi\)
−0.813019 + 0.582237i \(0.802178\pi\)
\(224\) 0.685198 1.88257i 0.0457817 0.125784i
\(225\) −7.54836 6.33383i −0.503224 0.422255i
\(226\) −1.37534 0.242509i −0.0914861 0.0161315i
\(227\) −17.2395 −1.14423 −0.572113 0.820175i \(-0.693876\pi\)
−0.572113 + 0.820175i \(0.693876\pi\)
\(228\) 1.93861 3.55345i 0.128387 0.235333i
\(229\) −21.3379 −1.41005 −0.705025 0.709183i \(-0.749064\pi\)
−0.705025 + 0.709183i \(0.749064\pi\)
\(230\) 0.00594084 0.0336922i 0.000391727 0.00222159i
\(231\) 5.50745 2.78229i 0.362364 0.183061i
\(232\) 3.69591 + 1.34520i 0.242648 + 0.0883167i
\(233\) 0.577345 + 1.58624i 0.0378232 + 0.103918i 0.957167 0.289538i \(-0.0935016\pi\)
−0.919343 + 0.393456i \(0.871279\pi\)
\(234\) 6.01529 5.04742i 0.393232 0.329960i
\(235\) −0.611799 1.05967i −0.0399094 0.0691251i
\(236\) 4.95728 + 2.86209i 0.322692 + 0.186306i
\(237\) 9.30437 1.64061i 0.604384 0.106569i
\(238\) −2.30580 13.0769i −0.149463 0.847646i
\(239\) 4.45343 + 2.57119i 0.288069 + 0.166316i 0.637070 0.770806i \(-0.280146\pi\)
−0.349002 + 0.937122i \(0.613479\pi\)
\(240\) −0.502466 + 0.290099i −0.0324341 + 0.0187258i
\(241\) 17.0892 14.3395i 1.10081 0.923690i 0.103332 0.994647i \(-0.467050\pi\)
0.997479 + 0.0709564i \(0.0226051\pi\)
\(242\) 9.85322 + 4.89021i 0.633389 + 0.314355i
\(243\) 5.52496 15.1797i 0.354426 0.973778i
\(244\) −1.65649 + 1.97412i −0.106046 + 0.126380i
\(245\) −0.324006 + 1.83753i −0.0207000 + 0.117395i
\(246\) 2.88805i 0.184135i
\(247\) 5.11117 15.1744i 0.325216 0.965526i
\(248\) 9.24551i 0.587091i
\(249\) 2.86277 16.2356i 0.181421 1.02889i
\(250\) 4.59927 + 3.85924i 0.290883 + 0.244080i
\(251\) 15.0520 + 5.47848i 0.950073 + 0.345798i 0.770136 0.637880i \(-0.220188\pi\)
0.179937 + 0.983678i \(0.442411\pi\)
\(252\) −1.46469 4.02421i −0.0922670 0.253502i
\(253\) −0.0524987 0.173859i −0.00330057 0.0109304i
\(254\) −5.67590 9.83094i −0.356137 0.616848i
\(255\) −1.92280 + 3.33038i −0.120410 + 0.208557i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) −22.5380 + 3.97406i −1.40588 + 0.247895i −0.824559 0.565776i \(-0.808577\pi\)
−0.581325 + 0.813672i \(0.697465\pi\)
\(258\) −0.897169 + 1.55394i −0.0558553 + 0.0967442i
\(259\) −0.893508 1.54760i −0.0555199 0.0961633i
\(260\) −1.75814 + 1.47525i −0.109035 + 0.0914912i
\(261\) 7.90045 2.87553i 0.489025 0.177991i
\(262\) −2.55053 + 7.00753i −0.157572 + 0.432926i
\(263\) 4.71924 5.62417i 0.291001 0.346801i −0.600661 0.799504i \(-0.705096\pi\)
0.891661 + 0.452703i \(0.149540\pi\)
\(264\) −1.68637 + 2.57727i −0.103789 + 0.158620i
\(265\) 7.14413i 0.438860i
\(266\) −6.82325 5.44984i −0.418360 0.334151i
\(267\) −10.8564 −0.664402
\(268\) −10.2810 1.81282i −0.628012 0.110736i
\(269\) 0.726159 0.865402i 0.0442747 0.0527645i −0.743453 0.668789i \(-0.766813\pi\)
0.787727 + 0.616024i \(0.211258\pi\)
\(270\) −1.01951 + 2.80107i −0.0620452 + 0.170468i
\(271\) 4.13919 + 11.3723i 0.251438 + 0.690821i 0.999626 + 0.0273341i \(0.00870180\pi\)
−0.748188 + 0.663487i \(0.769076\pi\)
\(272\) 4.26044 + 5.07740i 0.258327 + 0.307863i
\(273\) 3.41708 + 5.91855i 0.206811 + 0.358207i
\(274\) −9.76864 + 16.9198i −0.590145 + 1.02216i
\(275\) 14.8847 + 3.49055i 0.897580 + 0.210488i
\(276\) 0.0500784 0.00883017i 0.00301437 0.000531514i
\(277\) 6.69278 + 3.86408i 0.402130 + 0.232170i 0.687403 0.726276i \(-0.258751\pi\)
−0.285272 + 0.958446i \(0.592084\pi\)
\(278\) 11.5906 6.69183i 0.695157 0.401349i
\(279\) 12.7037 + 15.1397i 0.760549 + 0.906387i
\(280\) 0.428098 + 1.17619i 0.0255838 + 0.0702908i
\(281\) −5.33617 1.94221i −0.318329 0.115862i 0.177914 0.984046i \(-0.443065\pi\)
−0.496243 + 0.868184i \(0.665287\pi\)
\(282\) 1.16904 1.39320i 0.0696151 0.0829640i
\(283\) 6.04628 + 1.06612i 0.359414 + 0.0633744i 0.350440 0.936585i \(-0.386032\pi\)
0.00897442 + 0.999960i \(0.497143\pi\)
\(284\) 14.4324i 0.856404i
\(285\) 0.499233 + 2.47926i 0.0295720 + 0.146859i
\(286\) −4.79910 + 11.1984i −0.283777 + 0.662173i
\(287\) −6.13581 1.08191i −0.362185 0.0638631i
\(288\) 1.63751 + 1.37404i 0.0964914 + 0.0809659i
\(289\) 25.3072 + 9.21107i 1.48866 + 0.541828i
\(290\) −2.30913 + 0.840454i −0.135597 + 0.0493532i
\(291\) −6.07336 + 5.09615i −0.356027 + 0.298742i
\(292\) 12.0806 6.97474i 0.706963 0.408166i
\(293\) −6.53185 + 11.3135i −0.381595 + 0.660942i −0.991290 0.131694i \(-0.957958\pi\)
0.609696 + 0.792636i \(0.291292\pi\)
\(294\) −2.73121 + 0.481587i −0.159288 + 0.0280867i
\(295\) −3.52202 + 0.621027i −0.205060 + 0.0361576i
\(296\) 0.772493 + 0.445999i 0.0449003 + 0.0259232i
\(297\) 1.87421 + 15.7123i 0.108752 + 0.911720i
\(298\) 1.39513 + 1.66266i 0.0808180 + 0.0963151i
\(299\) 0.189020 0.0687976i 0.0109313 0.00397867i
\(300\) −1.46409 + 4.02256i −0.0845294 + 0.232243i
\(301\) 2.96533 + 2.48821i 0.170919 + 0.143418i
\(302\) −1.20601 + 6.83960i −0.0693979 + 0.393575i
\(303\) −5.35186 −0.307456
\(304\) 4.30972 + 0.652934i 0.247179 + 0.0374484i
\(305\) 1.61008i 0.0921929i
\(306\) 13.9531 + 2.46030i 0.797644 + 0.140646i
\(307\) −12.5614 10.5402i −0.716914 0.601563i 0.209615 0.977784i \(-0.432779\pi\)
−0.926530 + 0.376221i \(0.877223\pi\)
\(308\) 4.84379 + 4.54827i 0.276001 + 0.259161i
\(309\) 14.5199 5.28479i 0.826005 0.300641i
\(310\) −3.71301 4.42499i −0.210885 0.251323i
\(311\) 4.11021 + 7.11910i 0.233069 + 0.403687i 0.958710 0.284387i \(-0.0917899\pi\)
−0.725641 + 0.688074i \(0.758457\pi\)
\(312\) −2.95428 1.70565i −0.167253 0.0965635i
\(313\) −0.261309 1.48196i −0.0147701 0.0837653i 0.976532 0.215374i \(-0.0690970\pi\)
−0.991302 + 0.131608i \(0.957986\pi\)
\(314\) −3.98343 22.5912i −0.224798 1.27489i
\(315\) 2.31714 + 1.33780i 0.130556 + 0.0753767i
\(316\) 5.08694 + 8.81084i 0.286163 + 0.495648i
\(317\) 9.74503 + 11.6137i 0.547336 + 0.652289i 0.966816 0.255475i \(-0.0822320\pi\)
−0.419480 + 0.907765i \(0.637788\pi\)
\(318\) −9.97831 + 3.63181i −0.559556 + 0.203662i
\(319\) −8.92928 + 9.50947i −0.499944 + 0.532428i
\(320\) −0.478609 0.401601i −0.0267551 0.0224502i
\(321\) 11.3329 + 1.99830i 0.632542 + 0.111534i
\(322\) 0.109702i 0.00611345i
\(323\) 26.9020 10.5347i 1.49687 0.586165i
\(324\) 1.98229 0.110127
\(325\) −2.94042 + 16.6760i −0.163105 + 0.925016i
\(326\) −12.3724 10.3817i −0.685243 0.574987i
\(327\) 1.23675 3.39795i 0.0683927 0.187907i
\(328\) 2.92241 1.06367i 0.161363 0.0587315i
\(329\) −2.52199 3.00559i −0.139042 0.165704i
\(330\) −0.227920 1.91075i −0.0125466 0.105184i
\(331\) 6.47664 + 3.73929i 0.355988 + 0.205530i 0.667320 0.744771i \(-0.267442\pi\)
−0.311331 + 0.950301i \(0.600775\pi\)
\(332\) 17.4831 3.08275i 0.959512 0.169188i
\(333\) 1.87779 0.331105i 0.102902 0.0181444i
\(334\) −3.01688 + 5.22539i −0.165076 + 0.285920i
\(335\) 5.64862 3.26123i 0.308617 0.178180i
\(336\) −1.42517 + 1.19586i −0.0777495 + 0.0652396i
\(337\) −14.3650 + 5.22843i −0.782511 + 0.284811i −0.702219 0.711961i \(-0.747807\pi\)
−0.0802918 + 0.996771i \(0.525585\pi\)
\(338\) −0.464271 0.168981i −0.0252530 0.00919135i
\(339\) 0.993484 + 0.833632i 0.0539587 + 0.0452767i
\(340\) −4.07818 0.719093i −0.221170 0.0389983i
\(341\) −28.1848 12.0787i −1.52629 0.654097i
\(342\) 7.95438 4.85252i 0.430123 0.262394i
\(343\) 20.0067i 1.08026i
\(344\) −1.90286 0.335525i −0.102595 0.0180903i
\(345\) −0.0204218 + 0.0243377i −0.00109947 + 0.00131030i
\(346\) −20.8811 7.60011i −1.12258 0.408585i
\(347\) −7.92012 21.7603i −0.425174 1.16816i −0.948709 0.316152i \(-0.897609\pi\)
0.523534 0.852005i \(-0.324613\pi\)
\(348\) −2.34775 2.79794i −0.125853 0.149985i
\(349\) −9.97315 + 5.75800i −0.533851 + 0.308219i −0.742583 0.669754i \(-0.766400\pi\)
0.208732 + 0.977973i \(0.433066\pi\)
\(350\) 7.99766 + 4.61745i 0.427493 + 0.246813i
\(351\) −17.2597 + 3.04336i −0.921256 + 0.162442i
\(352\) −3.22903 0.757227i −0.172108 0.0403603i
\(353\) −9.42400 + 16.3228i −0.501589 + 0.868777i 0.498410 + 0.866942i \(0.333918\pi\)
−0.999998 + 0.00183540i \(0.999416\pi\)
\(354\) −2.65786 4.60355i −0.141264 0.244676i
\(355\) 5.79606 + 6.90747i 0.307623 + 0.366610i
\(356\) −3.99843 10.9856i −0.211916 0.582235i
\(357\) −4.21747 + 11.5874i −0.223212 + 0.613271i
\(358\) −5.97740 + 7.12359i −0.315915 + 0.376493i
\(359\) 29.2124 + 5.15093i 1.54177 + 0.271856i 0.878947 0.476920i \(-0.158247\pi\)
0.662823 + 0.748776i \(0.269358\pi\)
\(360\) −1.33554 −0.0703893
\(361\) 8.69368 16.8944i 0.457562 0.889178i
\(362\) 12.1841i 0.640381i
\(363\) −5.65361 8.50791i −0.296738 0.446549i
\(364\) −4.73046 + 5.63754i −0.247943 + 0.295487i
\(365\) −2.98083 + 8.18975i −0.156024 + 0.428671i
\(366\) 2.24882 0.818504i 0.117548 0.0427839i
\(367\) −15.4252 + 12.9433i −0.805191 + 0.675635i −0.949455 0.313904i \(-0.898363\pi\)
0.144264 + 0.989539i \(0.453919\pi\)
\(368\) 0.0273792 + 0.0474221i 0.00142724 + 0.00247205i
\(369\) 3.32397 5.75728i 0.173039 0.299712i
\(370\) −0.548836 + 0.0967747i −0.0285326 + 0.00503107i
\(371\) 3.97793 + 22.5599i 0.206524 + 1.17125i
\(372\) 4.29289 7.43551i 0.222576 0.385513i
\(373\) −8.33973 14.4448i −0.431815 0.747925i 0.565215 0.824944i \(-0.308793\pi\)
−0.997030 + 0.0770185i \(0.975460\pi\)
\(374\) −21.0443 + 6.35457i −1.08818 + 0.328587i
\(375\) −1.90693 5.23926i −0.0984736 0.270554i
\(376\) 1.84034 + 0.669828i 0.0949081 + 0.0345437i
\(377\) −11.0678 9.28697i −0.570020 0.478303i
\(378\) −1.65976 + 9.41297i −0.0853689 + 0.484151i
\(379\) 18.6371i 0.957322i −0.878000 0.478661i \(-0.841122\pi\)
0.878000 0.478661i \(-0.158878\pi\)
\(380\) −2.32489 + 1.41829i −0.119264 + 0.0727566i
\(381\) 10.5418i 0.540071i
\(382\) −3.59632 + 20.3958i −0.184004 + 1.04354i
\(383\) −18.4637 + 22.0041i −0.943449 + 1.12436i 0.0486397 + 0.998816i \(0.484511\pi\)
−0.992088 + 0.125542i \(0.959933\pi\)
\(384\) 0.317615 0.872639i 0.0162082 0.0445317i
\(385\) −4.14487 0.231570i −0.211242 0.0118019i
\(386\) 5.84926 4.90811i 0.297719 0.249816i
\(387\) −3.57698 + 2.06517i −0.181828 + 0.104979i
\(388\) −7.39361 4.26870i −0.375354 0.216711i
\(389\) 5.91683 + 33.5560i 0.299995 + 1.70136i 0.646176 + 0.763189i \(0.276367\pi\)
−0.346181 + 0.938168i \(0.612522\pi\)
\(390\) 2.09894 0.370099i 0.106284 0.0187407i
\(391\) 0.314317 + 0.181471i 0.0158957 + 0.00917739i
\(392\) −1.49322 2.58634i −0.0754192 0.130630i
\(393\) 5.30496 4.45139i 0.267600 0.224543i
\(394\) −1.68532 4.63037i −0.0849050 0.233275i
\(395\) −5.97310 2.17403i −0.300539 0.109387i
\(396\) −6.32803 + 3.19683i −0.317995 + 0.160647i
\(397\) −4.48805 + 25.4530i −0.225249 + 1.27745i 0.636960 + 0.770897i \(0.280192\pi\)
−0.862209 + 0.506553i \(0.830919\pi\)
\(398\) 13.0158 0.652423
\(399\) 2.95697 + 7.55110i 0.148034 + 0.378028i
\(400\) −4.60965 −0.230482
\(401\) −4.46946 0.788087i −0.223194 0.0393552i 0.0609325 0.998142i \(-0.480593\pi\)
−0.284127 + 0.958787i \(0.591704\pi\)
\(402\) 7.42655 + 6.23161i 0.370403 + 0.310805i
\(403\) 11.6159 31.9145i 0.578631 1.58978i
\(404\) −1.97109 5.41554i −0.0980656 0.269433i
\(405\) −0.948743 + 0.796090i −0.0471434 + 0.0395580i
\(406\) −6.82386 + 3.93976i −0.338662 + 0.195527i
\(407\) −2.36883 + 1.77226i −0.117419 + 0.0878476i
\(408\) −1.06882 6.06161i −0.0529147 0.300094i
\(409\) 2.79716 + 15.8635i 0.138310 + 0.784398i 0.972497 + 0.232915i \(0.0748265\pi\)
−0.834187 + 0.551482i \(0.814062\pi\)
\(410\) −0.971524 + 1.68273i −0.0479801 + 0.0831040i
\(411\) 15.7124 9.07159i 0.775038 0.447468i
\(412\) 10.6953 + 12.7462i 0.526922 + 0.627961i
\(413\) −10.7761 + 3.92219i −0.530259 + 0.192999i
\(414\) 0.109993 + 0.0400343i 0.00540588 + 0.00196758i
\(415\) −7.12956 + 8.49668i −0.349976 + 0.417085i
\(416\) 0.637884 3.61762i 0.0312748 0.177368i
\(417\) −12.4286 −0.608633
\(418\) −7.62083 + 12.2851i −0.372747 + 0.600882i
\(419\) 5.09242 0.248781 0.124390 0.992233i \(-0.460302\pi\)
0.124390 + 0.992233i \(0.460302\pi\)
\(420\) 0.201842 1.14470i 0.00984886 0.0558557i
\(421\) −1.19790 + 1.42760i −0.0583821 + 0.0695771i −0.794445 0.607336i \(-0.792238\pi\)
0.736063 + 0.676913i \(0.236683\pi\)
\(422\) 17.2820 + 6.29012i 0.841273 + 0.306198i
\(423\) 3.93394 1.43184i 0.191275 0.0696184i
\(424\) −7.35004 8.75943i −0.356949 0.425396i
\(425\) −26.4598 + 15.2766i −1.28349 + 0.741022i
\(426\) −6.70126 + 11.6069i −0.324677 + 0.562358i
\(427\) −0.896509 5.08436i −0.0433851 0.246049i
\(428\) 2.15185 + 12.2037i 0.104014 + 0.589890i
\(429\) 9.05922 6.77772i 0.437383 0.327231i
\(430\) 1.04547 0.603604i 0.0504172 0.0291084i
\(431\) −4.34579 + 3.64655i −0.209329 + 0.175648i −0.741424 0.671036i \(-0.765849\pi\)
0.532095 + 0.846685i \(0.321405\pi\)
\(432\) −1.63178 4.48329i −0.0785093 0.215702i
\(433\) 6.22007 17.0895i 0.298917 0.821269i −0.695764 0.718270i \(-0.744934\pi\)
0.994682 0.102998i \(-0.0328436\pi\)
\(434\) −14.1889 11.9059i −0.681090 0.571502i
\(435\) 2.24731 + 0.396261i 0.107750 + 0.0189993i
\(436\) 3.89388 0.186483
\(437\) 0.233989 0.0471169i 0.0111932 0.00225391i
\(438\) −12.9541 −0.618970
\(439\) 4.22694 23.9721i 0.201741 1.14413i −0.700746 0.713411i \(-0.747149\pi\)
0.902487 0.430717i \(-0.141739\pi\)
\(440\) 1.84955 0.934364i 0.0881736 0.0445441i
\(441\) −5.99890 2.18342i −0.285662 0.103972i
\(442\) −8.32742 22.8794i −0.396095 1.08826i
\(443\) 10.7169 8.99256i 0.509176 0.427249i −0.351663 0.936127i \(-0.614384\pi\)
0.860839 + 0.508877i \(0.169939\pi\)
\(444\) −0.414174 0.717371i −0.0196558 0.0340449i
\(445\) 6.32551 + 3.65203i 0.299858 + 0.173123i
\(446\) 7.91361 1.39538i 0.374720 0.0660733i
\(447\) −0.350000 1.98495i −0.0165544 0.0938848i
\(448\) −1.73498 1.00169i −0.0819702 0.0473255i
\(449\) 27.7398 16.0156i 1.30912 0.755823i 0.327174 0.944964i \(-0.393904\pi\)
0.981950 + 0.189141i \(0.0605703\pi\)
\(450\) −7.54836 + 6.33383i −0.355833 + 0.298580i
\(451\) −0.575370 + 10.2985i −0.0270931 + 0.484939i
\(452\) −0.477650 + 1.31233i −0.0224668 + 0.0617269i
\(453\) 4.14568 4.94063i 0.194781 0.232131i
\(454\) −2.99361 + 16.9776i −0.140497 + 0.796798i
\(455\) 4.59794i 0.215555i
\(456\) −3.16283 2.52620i −0.148113 0.118300i
\(457\) 37.4733i 1.75293i −0.481469 0.876463i \(-0.659896\pi\)
0.481469 0.876463i \(-0.340104\pi\)
\(458\) −3.70529 + 21.0137i −0.173137 + 0.981908i
\(459\) −24.2244 20.3267i −1.13070 0.948767i
\(460\) −0.0321487 0.0117012i −0.00149894 0.000545569i
\(461\) 9.88777 + 27.1664i 0.460519 + 1.26527i 0.925096 + 0.379734i \(0.123984\pi\)
−0.464577 + 0.885533i \(0.653793\pi\)
\(462\) −1.78366 5.90692i −0.0829834 0.274815i
\(463\) 11.2139 + 19.4231i 0.521156 + 0.902669i 0.999697 + 0.0246037i \(0.00783239\pi\)
−0.478541 + 0.878065i \(0.658834\pi\)
\(464\) 1.96655 3.40617i 0.0912948 0.158127i
\(465\) 0.931489 + 5.28273i 0.0431967 + 0.244981i
\(466\) 1.66240 0.293126i 0.0770092 0.0135788i
\(467\) −3.74922 + 6.49384i −0.173493 + 0.300499i −0.939639 0.342168i \(-0.888839\pi\)
0.766146 + 0.642667i \(0.222172\pi\)
\(468\) −3.92620 6.80038i −0.181489 0.314347i
\(469\) 16.0215 13.4436i 0.739803 0.620768i
\(470\) −1.14981 + 0.418495i −0.0530366 + 0.0193037i
\(471\) −7.28598 + 20.0181i −0.335720 + 0.922384i
\(472\) 3.67943 4.38497i 0.169359 0.201835i
\(473\) 3.50881 5.36248i 0.161335 0.246567i
\(474\) 9.44790i 0.433957i
\(475\) −6.41382 + 19.0418i −0.294286 + 0.873699i
\(476\) −13.2786 −0.608623
\(477\) −24.0716 4.24447i −1.10216 0.194341i
\(478\) 3.30546 3.93929i 0.151188 0.180179i
\(479\) −6.75190 + 18.5507i −0.308502 + 0.847603i 0.684447 + 0.729063i \(0.260044\pi\)
−0.992949 + 0.118540i \(0.962179\pi\)
\(480\) 0.198439 + 0.545208i 0.00905748 + 0.0248852i
\(481\) −2.10622 2.51009i −0.0960352 0.114450i
\(482\) −11.1542 19.3196i −0.508059 0.879984i
\(483\) −0.0509370 + 0.0882255i −0.00231771 + 0.00401440i
\(484\) 6.52691 8.85435i 0.296678 0.402470i
\(485\) 5.25297 0.926240i 0.238525 0.0420584i
\(486\) −13.9897 8.07695i −0.634585 0.366378i
\(487\) −13.8606 + 8.00243i −0.628085 + 0.362625i −0.780010 0.625767i \(-0.784786\pi\)
0.151925 + 0.988392i \(0.451453\pi\)
\(488\) 1.65649 + 1.97412i 0.0749856 + 0.0893644i
\(489\) 5.12980 + 14.0940i 0.231977 + 0.637353i
\(490\) 1.75335 + 0.638167i 0.0792082 + 0.0288294i
\(491\) −3.97015 + 4.73144i −0.179170 + 0.213527i −0.848153 0.529751i \(-0.822285\pi\)
0.668983 + 0.743278i \(0.266730\pi\)
\(492\) −2.84418 0.501505i −0.128225 0.0226096i
\(493\) 26.0689i 1.17408i
\(494\) −14.0563 7.66853i −0.632425 0.345023i
\(495\) 1.74480 4.07138i 0.0784231 0.182995i
\(496\) 9.10505 + 1.60547i 0.408829 + 0.0720876i
\(497\) 22.1491 + 18.5853i 0.993523 + 0.833665i
\(498\) −15.4918 5.63856i −0.694205 0.252670i
\(499\) −0.424438 + 0.154483i −0.0190004 + 0.00691559i −0.351503 0.936187i \(-0.614329\pi\)
0.332502 + 0.943102i \(0.392107\pi\)
\(500\) 4.59927 3.85924i 0.205686 0.172591i
\(501\) 4.85252 2.80160i 0.216795 0.125166i
\(502\) 8.00900 13.8720i 0.357459 0.619137i
\(503\) 0.524715 0.0925214i 0.0233959 0.00412533i −0.161938 0.986801i \(-0.551774\pi\)
0.185334 + 0.982676i \(0.440663\pi\)
\(504\) −4.21742 + 0.743645i −0.187859 + 0.0331246i
\(505\) 3.11827 + 1.80033i 0.138761 + 0.0801138i
\(506\) −0.180334 + 0.0215108i −0.00801684 + 0.000956271i
\(507\) 0.294919 + 0.351471i 0.0130978 + 0.0156094i
\(508\) −10.6672 + 3.88254i −0.473280 + 0.172260i
\(509\) 3.87407 10.6439i 0.171715 0.471783i −0.823745 0.566960i \(-0.808119\pi\)
0.995460 + 0.0951766i \(0.0303416\pi\)
\(510\) 2.94590 + 2.47190i 0.130447 + 0.109458i
\(511\) −4.85280 + 27.5216i −0.214675 + 1.21748i
\(512\) 1.00000 0.0441942
\(513\) −20.7903 + 0.502674i −0.917915 + 0.0221936i
\(514\) 22.8857i 1.00945i
\(515\) −10.2378 1.80520i −0.451131 0.0795465i
\(516\) 1.37454 + 1.15338i 0.0605108 + 0.0507746i
\(517\) −4.44624 + 4.73514i −0.195545 + 0.208251i
\(518\) −1.67925 + 0.611196i −0.0737818 + 0.0268544i
\(519\) 13.2643 + 15.8078i 0.582239 + 0.693885i
\(520\) 1.14754 + 1.98760i 0.0503231 + 0.0871621i
\(521\) 9.11163 + 5.26060i 0.399188 + 0.230471i 0.686134 0.727476i \(-0.259307\pi\)
−0.286946 + 0.957947i \(0.592640\pi\)
\(522\) −1.45994 8.27975i −0.0639000 0.362395i
\(523\) 4.57425 + 25.9419i 0.200018 + 1.13436i 0.905089 + 0.425222i \(0.139804\pi\)
−0.705071 + 0.709137i \(0.749085\pi\)
\(524\) 6.45817 + 3.72863i 0.282127 + 0.162886i
\(525\) −4.28796 7.42697i −0.187142 0.324140i
\(526\) −4.71924 5.62417i −0.205769 0.245226i
\(527\) 57.5843 20.9590i 2.50841 0.912988i
\(528\) 2.24528 + 2.10829i 0.0977132 + 0.0917515i
\(529\) −17.6167 14.7822i −0.765945 0.642704i
\(530\) 7.03559 + 1.24057i 0.305607 + 0.0538867i
\(531\) 12.2361i 0.531003i
\(532\) −6.55189 + 5.77323i −0.284060 + 0.250301i
\(533\) −11.4242 −0.494839
\(534\) −1.88520 + 10.6915i −0.0815804 + 0.462666i
\(535\) −5.93093 4.97664i −0.256417 0.215159i
\(536\) −3.57056 + 9.81002i −0.154225 + 0.423728i
\(537\) 8.11483 2.95356i 0.350181 0.127455i
\(538\) −0.726159 0.865402i −0.0313069 0.0373101i
\(539\) 9.83521 1.17317i 0.423633 0.0505321i
\(540\) 2.58148 + 1.49042i 0.111089 + 0.0641374i
\(541\) −30.1125 + 5.30964i −1.29464 + 0.228279i −0.778183 0.628037i \(-0.783859\pi\)
−0.516452 + 0.856316i \(0.672748\pi\)
\(542\) 11.9183 2.10152i 0.511936 0.0902682i
\(543\) −5.65734 + 9.79879i −0.242780 + 0.420506i
\(544\) 5.74008 3.31404i 0.246104 0.142088i
\(545\) −1.86365 + 1.56379i −0.0798299 + 0.0669853i
\(546\) 6.42200 2.33742i 0.274836 0.100032i
\(547\) 0.573451 + 0.208719i 0.0245190 + 0.00892419i 0.354251 0.935151i \(-0.384736\pi\)
−0.329732 + 0.944075i \(0.606958\pi\)
\(548\) 14.9664 + 12.5583i 0.639334 + 0.536465i
\(549\) 5.42503 + 0.956580i 0.231535 + 0.0408258i
\(550\) 6.02222 14.0524i 0.256788 0.599197i
\(551\) −11.3342 12.8629i −0.482852 0.547976i
\(552\) 0.0508509i 0.00216436i
\(553\) −20.0725 3.53933i −0.853571 0.150508i
\(554\) 4.96757 5.92012i 0.211052 0.251522i
\(555\) 0.486324 + 0.177008i 0.0206433 + 0.00751356i
\(556\) −4.57748 12.5765i −0.194128 0.533363i
\(557\) 5.73504 + 6.83476i 0.243002 + 0.289598i 0.873736 0.486401i \(-0.161691\pi\)
−0.630734 + 0.775999i \(0.717246\pi\)
\(558\) 17.1156 9.88171i 0.724562 0.418326i
\(559\) 6.14691 + 3.54892i 0.259987 + 0.150103i
\(560\) 1.23266 0.217351i 0.0520894 0.00918476i
\(561\) 19.8750 + 4.66082i 0.839125 + 0.196780i
\(562\) −2.83932 + 4.91784i −0.119769 + 0.207446i
\(563\) −17.1729 29.7443i −0.723752 1.25357i −0.959486 0.281757i \(-0.909083\pi\)
0.235734 0.971818i \(-0.424251\pi\)
\(564\) −1.16904 1.39320i −0.0492253 0.0586644i
\(565\) −0.298426 0.819919i −0.0125549 0.0344943i
\(566\) 2.09985 5.76929i 0.0882633 0.242501i
\(567\) −2.55270 + 3.04219i −0.107203 + 0.127760i
\(568\) −14.2131 2.50616i −0.596369 0.105156i
\(569\) 46.5499 1.95147 0.975736 0.218949i \(-0.0702629\pi\)
0.975736 + 0.218949i \(0.0702629\pi\)
\(570\) 2.52829 0.0611296i 0.105898 0.00256044i
\(571\) 10.8972i 0.456033i 0.973657 + 0.228016i \(0.0732240\pi\)
−0.973657 + 0.228016i \(0.926776\pi\)
\(572\) 10.1949 + 6.67077i 0.426269 + 0.278919i
\(573\) 12.3625 14.7330i 0.516449 0.615480i
\(574\) −2.13094 + 5.85472i −0.0889439 + 0.244371i
\(575\) −0.237194 + 0.0863316i −0.00989168 + 0.00360028i
\(576\) 1.63751 1.37404i 0.0682297 0.0572515i
\(577\) 9.20517 + 15.9438i 0.383216 + 0.663750i 0.991520 0.129955i \(-0.0414831\pi\)
−0.608304 + 0.793704i \(0.708150\pi\)
\(578\) 13.4657 23.3233i 0.560099 0.970120i
\(579\) −6.98308 + 1.23131i −0.290207 + 0.0511713i
\(580\) 0.426710 + 2.41999i 0.0177182 + 0.100485i
\(581\) −17.7829 + 30.8009i −0.737758 + 1.27783i
\(582\) 3.96410 + 6.86603i 0.164317 + 0.284606i
\(583\) 36.3053 10.9628i 1.50361 0.454032i
\(584\) −4.77100 13.1082i −0.197425 0.542422i
\(585\) 4.61015 + 1.67796i 0.190606 + 0.0693750i
\(586\) 10.0074 + 8.39719i 0.413401 + 0.346885i
\(587\) 3.20697 18.1876i 0.132366 0.750683i −0.844292 0.535883i \(-0.819979\pi\)
0.976658 0.214800i \(-0.0689100\pi\)
\(588\) 2.77335i 0.114371i
\(589\) 19.3006 35.3779i 0.795269 1.45772i
\(590\) 3.57635i 0.147236i
\(591\) −0.794601 + 4.50641i −0.0326855 + 0.185369i
\(592\) 0.573366 0.683311i 0.0235652 0.0280839i
\(593\) 9.98870 27.4437i 0.410187 1.12698i −0.546905 0.837195i \(-0.684194\pi\)
0.957092 0.289785i \(-0.0935837\pi\)
\(594\) 15.7990 + 0.882678i 0.648242 + 0.0362167i
\(595\) 6.35525 5.33269i 0.260540 0.218619i
\(596\) 1.87966 1.08522i 0.0769939 0.0444524i
\(597\) −10.4677 6.04352i −0.428413 0.247345i
\(598\) −0.0349294 0.198095i −0.00142837 0.00810070i
\(599\) −11.2397 + 1.98187i −0.459243 + 0.0809770i −0.398484 0.917175i \(-0.630463\pi\)
−0.0607596 + 0.998152i \(0.519352\pi\)
\(600\) 3.70721 + 2.14036i 0.151346 + 0.0873798i
\(601\) 8.69690 + 15.0635i 0.354754 + 0.614452i 0.987076 0.160254i \(-0.0512313\pi\)
−0.632322 + 0.774706i \(0.717898\pi\)
\(602\) 2.96533 2.48821i 0.120858 0.101412i
\(603\) 7.63250 + 20.9701i 0.310819 + 0.853969i
\(604\) 6.52627 + 2.37537i 0.265550 + 0.0966524i
\(605\) 0.432075 + 6.85899i 0.0175663 + 0.278857i
\(606\) −0.929340 + 5.27055i −0.0377519 + 0.214101i
\(607\) 8.10286 0.328885 0.164442 0.986387i \(-0.447418\pi\)
0.164442 + 0.986387i \(0.447418\pi\)
\(608\) 1.39139 4.13086i 0.0564283 0.167529i
\(609\) 7.31726 0.296510
\(610\) −1.58562 0.279587i −0.0641999 0.0113202i
\(611\) −5.51108 4.62435i −0.222955 0.187081i
\(612\) 4.84585 13.3139i 0.195882 0.538181i
\(613\) −10.9024 29.9541i −0.440344 1.20984i −0.939266 0.343189i \(-0.888493\pi\)
0.498922 0.866647i \(-0.333729\pi\)
\(614\) −12.5614 + 10.5402i −0.506935 + 0.425369i
\(615\) 1.56265 0.902199i 0.0630123 0.0363802i
\(616\) 5.32028 3.98041i 0.214360 0.160375i
\(617\) 0.0986171 + 0.559285i 0.00397018 + 0.0225160i 0.986728 0.162379i \(-0.0519167\pi\)
−0.982758 + 0.184895i \(0.940806\pi\)
\(618\) −2.68316 15.2170i −0.107933 0.612116i
\(619\) −0.243207 + 0.421247i −0.00977531 + 0.0169313i −0.870872 0.491510i \(-0.836445\pi\)
0.861096 + 0.508442i \(0.169778\pi\)
\(620\) −5.00252 + 2.88821i −0.200906 + 0.115993i
\(621\) −0.167930 0.200131i −0.00673880 0.00803099i
\(622\) 7.72468 2.81155i 0.309731 0.112733i
\(623\) 22.0084 + 8.01039i 0.881746 + 0.320929i
\(624\) −2.19274 + 2.61321i −0.0877800 + 0.104612i
\(625\) 3.35091 19.0040i 0.134036 0.760158i
\(626\) −1.50482 −0.0601447
\(627\) 11.8331 6.34149i 0.472569 0.253255i
\(628\) −22.9397 −0.915393
\(629\) 1.02665 5.82241i 0.0409352 0.232155i
\(630\) 1.71985 2.04963i 0.0685204 0.0816594i
\(631\) 25.7763 + 9.38179i 1.02614 + 0.373483i 0.799609 0.600521i \(-0.205040\pi\)
0.226528 + 0.974005i \(0.427263\pi\)
\(632\) 9.56032 3.47967i 0.380289 0.138414i
\(633\) −10.9780 13.0831i −0.436337 0.520006i
\(634\) 13.1294 7.58029i 0.521437 0.301052i
\(635\) 3.54619 6.14218i 0.140726 0.243745i
\(636\) 1.84392 + 10.4574i 0.0731160 + 0.414662i
\(637\) 1.90501 + 10.8038i 0.0754792 + 0.428064i
\(638\) 7.81445 + 10.4449i 0.309377 + 0.413519i
\(639\) −26.7177 + 15.4255i −1.05694 + 0.610222i
\(640\) −0.478609 + 0.401601i −0.0189187 + 0.0158747i
\(641\) −4.91014 13.4905i −0.193939 0.532843i 0.804164 0.594407i \(-0.202613\pi\)
−0.998103 + 0.0615642i \(0.980391\pi\)
\(642\) 3.93588 10.8138i 0.155337 0.426785i
\(643\) −11.4111 9.57504i −0.450009 0.377603i 0.389430 0.921056i \(-0.372672\pi\)
−0.839439 + 0.543453i \(0.817116\pi\)
\(644\) −0.108035 0.0190495i −0.00425719 0.000750657i
\(645\) −1.12107 −0.0441419
\(646\) −5.70315 28.3226i −0.224387 1.11434i
\(647\) 15.2392 0.599114 0.299557 0.954078i \(-0.403161\pi\)
0.299557 + 0.954078i \(0.403161\pi\)
\(648\) 0.344221 1.95218i 0.0135223 0.0766887i
\(649\) 8.56056 + 16.9454i 0.336031 + 0.665163i
\(650\) 15.9120 + 5.79150i 0.624121 + 0.227161i
\(651\) 5.88296 + 16.1633i 0.230571 + 0.633490i
\(652\) −12.3724 + 10.3817i −0.484540 + 0.406577i
\(653\) −10.2017 17.6698i −0.399223 0.691474i 0.594408 0.804164i \(-0.297387\pi\)
−0.993630 + 0.112690i \(0.964053\pi\)
\(654\) −3.13157 1.80801i −0.122454 0.0706989i
\(655\) −4.58836 + 0.809052i −0.179282 + 0.0316123i
\(656\) −0.540040 3.06272i −0.0210850 0.119579i
\(657\) −25.8237 14.9093i −1.00748 0.581669i
\(658\) −3.39787 + 1.96176i −0.132463 + 0.0764774i
\(659\) 10.0378 8.42271i 0.391017 0.328102i −0.425992 0.904727i \(-0.640075\pi\)
0.817009 + 0.576625i \(0.195630\pi\)
\(660\) −1.92130 0.107341i −0.0747866 0.00417826i
\(661\) 2.51220 6.90222i 0.0977133 0.268465i −0.881199 0.472745i \(-0.843263\pi\)
0.978912 + 0.204280i \(0.0654853\pi\)
\(662\) 4.80714 5.72893i 0.186835 0.222661i
\(663\) −3.92625 + 22.2669i −0.152483 + 0.864774i
\(664\) 17.7528i 0.688944i
\(665\) 0.817262 5.39437i 0.0316921 0.209185i
\(666\) 1.90676i 0.0738853i
\(667\) 0.0373986 0.212098i 0.00144808 0.00821247i
\(668\) 4.62213 + 3.87842i 0.178835 + 0.150061i
\(669\) −7.01226 2.55225i −0.271110 0.0986758i
\(670\) −2.23081 6.12911i −0.0861838 0.236788i
\(671\) −8.18217 + 2.47069i −0.315869 + 0.0953801i
\(672\) 0.930215 + 1.61118i 0.0358838 + 0.0621526i
\(673\) −7.90776 + 13.6966i −0.304822 + 0.527967i −0.977222 0.212221i \(-0.931930\pi\)
0.672400 + 0.740188i \(0.265264\pi\)
\(674\) 2.65454 + 15.0547i 0.102249 + 0.579884i
\(675\) 21.6586 3.81900i 0.833640 0.146993i
\(676\) −0.247034 + 0.427875i −0.00950129 + 0.0164567i
\(677\) −11.2381 19.4650i −0.431916 0.748101i 0.565122 0.825007i \(-0.308829\pi\)
−0.997038 + 0.0769063i \(0.975496\pi\)
\(678\) 0.993484 0.833632i 0.0381545 0.0320155i
\(679\) 16.0722 5.84981i 0.616796 0.224495i
\(680\) −1.41634 + 3.89135i −0.0543140 + 0.149227i
\(681\) 10.2906 12.2639i 0.394337 0.469952i
\(682\) −16.7894 + 25.6591i −0.642900 + 0.982539i
\(683\) 12.1966i 0.466689i 0.972394 + 0.233345i \(0.0749671\pi\)
−0.972394 + 0.233345i \(0.925033\pi\)
\(684\) −3.39754 8.67616i −0.129908 0.331741i
\(685\) −12.2065 −0.466387
\(686\) 19.7028 + 3.47413i 0.752255 + 0.132643i
\(687\) 12.7370 15.1794i 0.485948 0.579131i
\(688\) −0.660856 + 1.81569i −0.0251949 + 0.0692224i
\(689\) 14.3663 + 39.4711i 0.547313 + 1.50373i
\(690\) 0.0204218 + 0.0243377i 0.000777444 + 0.000926522i
\(691\) −20.9823 36.3424i −0.798204 1.38253i −0.920785 0.390071i \(-0.872450\pi\)
0.122581 0.992459i \(-0.460883\pi\)
\(692\) −11.1106 + 19.2442i −0.422363 + 0.731553i
\(693\) 3.24281 13.8282i 0.123184 0.525291i
\(694\) −22.8051 + 4.02115i −0.865669 + 0.152641i
\(695\) 7.24157 + 4.18092i 0.274688 + 0.158591i
\(696\) −3.16311 + 1.82622i −0.119897 + 0.0692228i
\(697\) −13.2498 15.7906i −0.501874 0.598110i
\(698\) 3.93871 + 10.8215i 0.149082 + 0.409600i
\(699\) −1.47305 0.536148i −0.0557160 0.0202790i
\(700\) 5.93608 7.07434i 0.224363 0.267385i
\(701\) 13.8766 + 2.44681i 0.524110 + 0.0924147i 0.429443 0.903094i \(-0.358710\pi\)
0.0946676 + 0.995509i \(0.469821\pi\)
\(702\) 17.5260i 0.661476i
\(703\) −2.02489 3.31925i −0.0763701 0.125188i
\(704\) −1.30644 + 3.04848i −0.0492382 + 0.114894i
\(705\) 1.11902 + 0.197314i 0.0421449 + 0.00743128i
\(706\) 14.4384 + 12.1153i 0.543396 + 0.455964i
\(707\) 10.8494 + 3.94886i 0.408034 + 0.148512i
\(708\) −4.99514 + 1.81808i −0.187729 + 0.0683277i
\(709\) 19.0165 15.9568i 0.714180 0.599268i −0.211588 0.977359i \(-0.567864\pi\)
0.925769 + 0.378090i \(0.123419\pi\)
\(710\) 7.80901 4.50853i 0.293067 0.169202i
\(711\) 10.8740 18.8342i 0.407805 0.706339i
\(712\) −11.5130 + 2.03005i −0.431468 + 0.0760795i
\(713\) 0.498577 0.0879126i 0.0186719 0.00329235i
\(714\) 10.6790 + 6.16553i 0.399652 + 0.230739i
\(715\) −7.55835 + 0.901582i −0.282666 + 0.0337172i
\(716\) 5.97740 + 7.12359i 0.223386 + 0.266221i
\(717\) −4.48744 + 1.63330i −0.167587 + 0.0609965i
\(718\) 10.1453 27.8741i 0.378621 1.04025i
\(719\) −3.42686 2.87548i −0.127800 0.107237i 0.576647 0.816993i \(-0.304361\pi\)
−0.704448 + 0.709756i \(0.748805\pi\)
\(720\) −0.231915 + 1.31525i −0.00864295 + 0.0490166i
\(721\) −33.3343 −1.24144
\(722\) −15.1281 11.4953i −0.563008 0.427810i
\(723\) 20.7165i 0.770455i
\(724\) −11.9990 2.11574i −0.445939 0.0786310i
\(725\) 13.8886 + 11.6539i 0.515808 + 0.432814i
\(726\) −9.36039 + 4.09034i −0.347397 + 0.151807i
\(727\) −6.42307 + 2.33781i −0.238219 + 0.0867044i −0.458371 0.888761i \(-0.651567\pi\)
0.220152 + 0.975466i \(0.429345\pi\)
\(728\) 4.73046 + 5.63754i 0.175322 + 0.208941i
\(729\) 4.52717 + 7.84128i 0.167673 + 0.290418i
\(730\) 7.54772 + 4.35768i 0.279354 + 0.161285i
\(731\) 2.22389 + 12.6123i 0.0822534 + 0.466482i
\(732\) −0.415565 2.35679i −0.0153597 0.0871094i
\(733\) −22.6381 13.0701i −0.836156 0.482755i 0.0197996 0.999804i \(-0.493697\pi\)
−0.855956 + 0.517049i \(0.827031\pi\)
\(734\) 10.0681 + 17.4385i 0.371621 + 0.643666i
\(735\) −1.11378 1.32735i −0.0410823 0.0489600i
\(736\) 0.0514560 0.0187284i 0.00189669 0.000690340i
\(737\) −25.2409 23.7009i −0.929762 0.873035i
\(738\) −5.09262 4.27321i −0.187462 0.157299i
\(739\) 4.72568 + 0.833264i 0.173837 + 0.0306521i 0.259889 0.965639i \(-0.416314\pi\)
−0.0860521 + 0.996291i \(0.527425\pi\)
\(740\) 0.557303i 0.0204869i
\(741\) 7.74385 + 12.6939i 0.284478 + 0.466323i
\(742\) 22.9080 0.840978
\(743\) −0.949383 + 5.38422i −0.0348295 + 0.197528i −0.997258 0.0740088i \(-0.976421\pi\)
0.962428 + 0.271537i \(0.0875318\pi\)
\(744\) −6.57709 5.51884i −0.241128 0.202330i
\(745\) −0.463797 + 1.27427i −0.0169922 + 0.0466857i
\(746\) −15.6736 + 5.70471i −0.573850 + 0.208864i
\(747\) −24.3931 29.0705i −0.892495 1.06363i
\(748\) 2.60372 + 21.8281i 0.0952013 + 0.798114i
\(749\) −21.4999 12.4130i −0.785590 0.453560i
\(750\) −5.49079 + 0.968175i −0.200495 + 0.0353528i
\(751\) 1.62643 0.286784i 0.0593493 0.0104649i −0.143895 0.989593i \(-0.545963\pi\)
0.203244 + 0.979128i \(0.434852\pi\)
\(752\) 0.979223 1.69606i 0.0357086 0.0618491i
\(753\) −12.8821 + 7.43750i −0.469451 + 0.271038i
\(754\) −11.0678 + 9.28697i −0.403065 + 0.338211i
\(755\) −4.07749 + 1.48408i −0.148395 + 0.0540113i
\(756\) 8.98176 + 3.26909i 0.326663 + 0.118896i
\(757\) −24.9175 20.9082i −0.905641 0.759923i 0.0656436 0.997843i \(-0.479090\pi\)
−0.971285 + 0.237920i \(0.923534\pi\)
\(758\) −18.3539 3.23629i −0.666644 0.117547i
\(759\) 0.155018 + 0.0664336i 0.00562680 + 0.00241139i
\(760\) 0.993027 + 2.53585i 0.0360209 + 0.0919851i
\(761\) 3.60174i 0.130563i 0.997867 + 0.0652815i \(0.0207945\pi\)
−0.997867 + 0.0652815i \(0.979205\pi\)
\(762\) 10.3816 + 1.83056i 0.376086 + 0.0663141i
\(763\) −5.01435 + 5.97587i −0.181532 + 0.216341i
\(764\) 19.4614 + 7.08338i 0.704089 + 0.256268i
\(765\) 3.02759 + 8.31824i 0.109463 + 0.300747i
\(766\) 18.4637 + 22.0041i 0.667119 + 0.795041i
\(767\) −18.2102 + 10.5137i −0.657533 + 0.379627i
\(768\) −0.804229 0.464322i −0.0290201 0.0167548i
\(769\) −33.7888 + 5.95788i −1.21846 + 0.214847i −0.745661 0.666325i \(-0.767866\pi\)
−0.472796 + 0.881172i \(0.656755\pi\)
\(770\) −0.947802 + 4.04169i −0.0341564 + 0.145652i
\(771\) 10.6263 18.4053i 0.382698 0.662852i
\(772\) −3.81783 6.61268i −0.137407 0.237996i
\(773\) −30.8029 36.7095i −1.10790 1.32035i −0.942531 0.334117i \(-0.891562\pi\)
−0.165372 0.986231i \(-0.552883\pi\)
\(774\) 1.41266 + 3.88125i 0.0507770 + 0.139509i
\(775\) −14.5764 + 40.0484i −0.523600 + 1.43858i
\(776\) −5.48774 + 6.54003i −0.196998 + 0.234774i
\(777\) 1.63429 + 0.288169i 0.0586298 + 0.0103380i
\(778\) 34.0737 1.22160
\(779\) −13.4031 2.03061i −0.480216 0.0727540i
\(780\) 2.13131i 0.0763133i
\(781\) 26.2085 40.0542i 0.937814 1.43325i
\(782\) 0.233295 0.278030i 0.00834260 0.00994233i
\(783\) −6.41797 + 17.6332i −0.229360 + 0.630160i
\(784\) −2.80634 + 1.02143i −0.100227 + 0.0364795i
\(785\) 10.9791 9.21260i 0.391863 0.328812i
\(786\) −3.46256 5.99734i −0.123506 0.213918i
\(787\) −5.28279 + 9.15005i −0.188311 + 0.326164i −0.944687 0.327973i \(-0.893635\pi\)
0.756376 + 0.654137i \(0.226968\pi\)
\(788\) −4.85268 + 0.855658i −0.172869 + 0.0304815i
\(789\) 1.18392 + 6.71437i 0.0421488 + 0.239038i
\(790\) −3.17822 + 5.50484i −0.113076 + 0.195853i
\(791\) −1.39892 2.42300i −0.0497398 0.0861519i
\(792\) 2.04941 + 6.78702i 0.0728227 + 0.241166i
\(793\) −3.23775 8.89565i −0.114976 0.315894i
\(794\) 24.2870 + 8.83974i 0.861913 + 0.313711i
\(795\) −5.08221 4.26448i −0.180247 0.151245i
\(796\) 2.26017 12.8181i 0.0801096 0.454324i
\(797\) 35.2695i 1.24931i −0.780901 0.624655i \(-0.785240\pi\)
0.780901 0.624655i \(-0.214760\pi\)
\(798\) 7.94985 1.60081i 0.281422 0.0566681i
\(799\) 12.9807i 0.459225i
\(800\) −0.800457 + 4.53962i −0.0283004 + 0.160500i
\(801\) −16.0633 + 19.1435i −0.567570 + 0.676404i
\(802\) −1.55223 + 4.26471i −0.0548111 + 0.150592i
\(803\) 46.1931 + 2.58077i 1.63012 + 0.0910733i
\(804\) 7.42655 6.23161i 0.261914 0.219772i
\(805\) 0.0593570 0.0342698i 0.00209206 0.00120785i
\(806\) −29.4126 16.9814i −1.03601 0.598143i
\(807\) 0.182173 + 1.03315i 0.00641278 + 0.0363687i
\(808\) −5.67554 + 1.00075i −0.199665 + 0.0352063i
\(809\) −7.56263 4.36629i −0.265888 0.153511i 0.361129 0.932516i \(-0.382391\pi\)
−0.627018 + 0.779005i \(0.715725\pi\)
\(810\) 0.619248 + 1.07257i 0.0217582 + 0.0376862i
\(811\) −31.3282 + 26.2875i −1.10008 + 0.923079i −0.997431 0.0716385i \(-0.977177\pi\)
−0.102652 + 0.994717i \(0.532733\pi\)
\(812\) 2.69495 + 7.40432i 0.0945743 + 0.259841i
\(813\) −10.5609 3.84384i −0.370385 0.134809i
\(814\) 1.33399 + 2.64059i 0.0467564 + 0.0925528i
\(815\) 1.75225 9.93752i 0.0613788 0.348096i
\(816\) −6.15512 −0.215472
\(817\) 6.58085 + 5.25623i 0.230235 + 0.183892i
\(818\) 16.1082 0.563209
\(819\) 15.4924 + 2.73172i 0.541347 + 0.0954542i
\(820\) 1.48846 + 1.24897i 0.0519793 + 0.0436158i
\(821\) −5.11832 + 14.0625i −0.178631 + 0.490784i −0.996401 0.0847605i \(-0.972987\pi\)
0.817771 + 0.575544i \(0.195210\pi\)
\(822\) −6.20533 17.0490i −0.216436 0.594652i
\(823\) −5.28350 + 4.43339i −0.184171 + 0.154538i −0.730212 0.683220i \(-0.760579\pi\)
0.546041 + 0.837759i \(0.316134\pi\)
\(824\) 14.4098 8.31950i 0.501989 0.289824i
\(825\) −11.3681 + 8.50511i −0.395786 + 0.296110i
\(826\) 1.99135 + 11.2935i 0.0692879 + 0.392951i
\(827\) 4.52102 + 25.6400i 0.157211 + 0.891590i 0.956736 + 0.290957i \(0.0939736\pi\)
−0.799525 + 0.600633i \(0.794915\pi\)
\(828\) 0.0585263 0.101370i 0.00203393 0.00352287i
\(829\) 35.6567 20.5864i 1.23841 0.714996i 0.269641 0.962961i \(-0.413095\pi\)
0.968769 + 0.247965i \(0.0797617\pi\)
\(830\) 7.12956 + 8.49668i 0.247471 + 0.294924i
\(831\) −6.74390 + 2.45458i −0.233943 + 0.0851484i
\(832\) −3.45189 1.25639i −0.119673 0.0435574i
\(833\) −12.7236 + 15.1634i −0.440847 + 0.525381i
\(834\) −2.15821 + 12.2398i −0.0747327 + 0.423830i
\(835\) −3.76977 −0.130458
\(836\) 10.7751 + 9.63834i 0.372664 + 0.333349i
\(837\) −44.1105 −1.52468
\(838\) 0.884289 5.01505i 0.0305473 0.173242i
\(839\) −2.02461 + 2.41284i −0.0698974 + 0.0833005i −0.799860 0.600187i \(-0.795093\pi\)
0.729963 + 0.683487i \(0.239537\pi\)
\(840\) −1.09226 0.397550i −0.0376866 0.0137168i
\(841\) 12.7147 4.62778i 0.438438 0.159579i
\(842\) 1.19790 + 1.42760i 0.0412824 + 0.0491984i
\(843\) 4.56692 2.63671i 0.157293 0.0908132i
\(844\) 9.19554 15.9271i 0.316524 0.548235i
\(845\) −0.0536023 0.303994i −0.00184398 0.0104577i
\(846\) −0.726964 4.12281i −0.0249935 0.141745i
\(847\) 5.18357 + 21.4189i 0.178110 + 0.735963i
\(848\) −9.90268 + 5.71731i −0.340059 + 0.196333i
\(849\) −4.36757 + 3.66482i −0.149895 + 0.125776i
\(850\) 10.4498 + 28.7105i 0.358424 + 0.984763i
\(851\) 0.0167057 0.0458987i 0.000572666 0.00157339i
\(852\) 10.2669 + 8.61498i 0.351739 + 0.295144i
\(853\) 49.7126 + 8.76568i 1.70213 + 0.300131i 0.938437 0.345450i \(-0.112274\pi\)
0.763692 + 0.645581i \(0.223385\pi\)
\(854\) −5.16279 −0.176667
\(855\) 5.11045 + 2.78804i 0.174774 + 0.0953489i
\(856\) 12.3920 0.423550
\(857\) 0.983982 5.58044i 0.0336122 0.190624i −0.963379 0.268145i \(-0.913589\pi\)
0.996991 + 0.0775209i \(0.0247004\pi\)
\(858\) −5.10163 10.0985i −0.174167 0.344758i
\(859\) −33.6438 12.2453i −1.14791 0.417806i −0.303148 0.952944i \(-0.598038\pi\)
−0.844765 + 0.535138i \(0.820260\pi\)
\(860\) −0.412890 1.13441i −0.0140794 0.0386829i
\(861\) 4.43224 3.71909i 0.151050 0.126746i
\(862\) 2.83651 + 4.91299i 0.0966121 + 0.167337i
\(863\) 43.0113 + 24.8326i 1.46412 + 0.845311i 0.999198 0.0400396i \(-0.0127484\pi\)
0.464924 + 0.885351i \(0.346082\pi\)
\(864\) −4.69854 + 0.828479i −0.159847 + 0.0281854i
\(865\) −2.41083 13.6725i −0.0819706 0.464878i
\(866\) −15.7498 9.09313i −0.535199 0.308997i
\(867\) −21.6590 + 12.5048i −0.735578 + 0.424686i
\(868\) −14.1889 + 11.9059i −0.481603 + 0.404113i
\(869\) −1.88225 + 33.6904i −0.0638510 + 1.14287i
\(870\) 0.780482 2.14436i 0.0264608 0.0727005i
\(871\) 24.6503 29.3771i 0.835245 0.995406i
\(872\) 0.676166 3.83473i 0.0228979 0.129860i
\(873\) 18.2497i 0.617660i
\(874\) −0.00576933 0.238616i −0.000195150 0.00807131i
\(875\) 12.0282i 0.406626i
\(876\) −2.24945 + 12.7573i −0.0760020 + 0.431029i
\(877\) −5.94236 4.98623i −0.200659 0.168373i 0.536921 0.843632i \(-0.319587\pi\)
−0.737580 + 0.675259i \(0.764032\pi\)
\(878\) −22.8740 8.32544i −0.771959 0.280970i
\(879\) −4.14922 11.3999i −0.139950 0.384509i
\(880\) −0.598999 1.98370i −0.0201922 0.0668704i
\(881\) −13.3827 23.1796i −0.450876 0.780939i 0.547565 0.836763i \(-0.315555\pi\)
−0.998441 + 0.0558237i \(0.982222\pi\)
\(882\) −3.19195 + 5.52862i −0.107479 + 0.186158i
\(883\) 3.55567 + 20.1652i 0.119658 + 0.678613i 0.984338 + 0.176291i \(0.0564099\pi\)
−0.864680 + 0.502323i \(0.832479\pi\)
\(884\) −23.9779 + 4.22794i −0.806462 + 0.142201i
\(885\) 1.66058 2.87621i 0.0558197 0.0966826i
\(886\) −6.99497 12.1156i −0.235001 0.407033i
\(887\) −12.4659 + 10.4601i −0.418563 + 0.351216i −0.827616 0.561295i \(-0.810303\pi\)
0.409053 + 0.912510i \(0.365859\pi\)
\(888\) −0.778393 + 0.283312i −0.0261212 + 0.00950732i
\(889\) 7.77823 21.3705i 0.260873 0.716744i
\(890\) 4.69496 5.59524i 0.157376 0.187553i
\(891\) 5.50146 + 3.59975i 0.184306 + 0.120596i
\(892\) 8.03569i 0.269055i
\(893\) −5.64373 6.40492i −0.188860 0.214333i
\(894\) −2.01557 −0.0674107
\(895\) −5.72168 1.00889i −0.191255 0.0337233i
\(896\) −1.28775 + 1.53468i −0.0430207 + 0.0512701i
\(897\) −0.0638884 + 0.175532i −0.00213317 + 0.00586084i
\(898\) −10.9553 30.0995i −0.365584 1.00443i
\(899\) −23.3740 27.8561i −0.779568 0.929053i
\(900\) 4.92684 + 8.53354i 0.164228 + 0.284451i
\(901\) −37.8948 + 65.6357i −1.26246 + 2.18664i
\(902\) 10.0422 + 2.35495i 0.334368 + 0.0784113i
\(903\) −3.54014 + 0.624221i −0.117808 + 0.0207728i
\(904\) 1.20945 + 0.698278i 0.0402258 + 0.0232244i
\(905\) 6.59251 3.80619i 0.219143 0.126522i
\(906\) −4.14568 4.94063i −0.137731 0.164141i
\(907\) −13.3958 36.8048i −0.444802 1.22208i −0.936299 0.351204i \(-0.885772\pi\)
0.491497 0.870879i \(-0.336450\pi\)
\(908\) 16.1998 + 5.89625i 0.537610 + 0.195674i
\(909\) −7.91870 + 9.43714i −0.262647 + 0.313010i
\(910\) −4.52808 0.798423i −0.150105 0.0264675i
\(911\) 10.8425i 0.359228i 0.983737 + 0.179614i \(0.0574848\pi\)
−0.983737 + 0.179614i \(0.942515\pi\)
\(912\) −3.03705 + 2.67611i −0.100567 + 0.0886147i
\(913\) 54.1191 + 23.1930i 1.79108 + 0.767575i
\(914\) −36.9040 6.50717i −1.22068 0.215238i
\(915\) 1.14538 + 0.961090i 0.0378652 + 0.0317726i
\(916\) 20.0511 + 7.29800i 0.662507 + 0.241133i
\(917\) −14.0388 + 5.10970i −0.463601 + 0.168737i
\(918\) −24.2244 + 20.3267i −0.799523 + 0.670880i
\(919\) −21.8462 + 12.6129i −0.720639 + 0.416061i −0.814988 0.579478i \(-0.803256\pi\)
0.0943487 + 0.995539i \(0.469923\pi\)
\(920\) −0.0171060 + 0.0296284i −0.000563967 + 0.000976819i
\(921\) 14.9963 2.64424i 0.494143 0.0871308i
\(922\) 28.4707 5.02015i 0.937633 0.165330i
\(923\) 45.9134 + 26.5081i 1.51126 + 0.872526i
\(924\) −6.12691 + 0.730836i −0.201561 + 0.0240427i
\(925\) 2.64301 + 3.14982i 0.0869018 + 0.103566i
\(926\) 21.0753 7.67079i 0.692578 0.252078i
\(927\) 12.1649 33.4229i 0.399549 1.09775i
\(928\) −3.01293 2.52815i −0.0989043 0.0829905i
\(929\) 8.44982 47.9213i 0.277230 1.57225i −0.454560 0.890716i \(-0.650203\pi\)
0.731789 0.681531i \(-0.238685\pi\)
\(930\) 5.36423 0.175900
\(931\) 0.314652 + 13.0138i 0.0103123 + 0.426511i
\(932\) 1.68805i 0.0552938i
\(933\) −7.51787 1.32560i −0.246124 0.0433983i
\(934\) 5.74414 + 4.81991i 0.187954 + 0.157712i
\(935\) −10.0123 9.40148i −0.327439 0.307461i
\(936\) −7.37884 + 2.68568i −0.241185 + 0.0877841i
\(937\) −16.6284 19.8170i −0.543227 0.647393i 0.422681 0.906279i \(-0.361089\pi\)
−0.965908 + 0.258885i \(0.916645\pi\)
\(938\) −10.4573 18.1125i −0.341442 0.591395i
\(939\) 1.21022 + 0.698721i 0.0394940 + 0.0228019i
\(940\) 0.212476 + 1.20501i 0.00693019 + 0.0393031i
\(941\) 6.41050 + 36.3557i 0.208976 + 1.18516i 0.891059 + 0.453888i \(0.149963\pi\)
−0.682082 + 0.731275i \(0.738925\pi\)
\(942\) 18.4488 + 10.6514i 0.601093 + 0.347041i
\(943\) −0.0851483 0.147481i −0.00277281 0.00480265i
\(944\) −3.67943 4.38497i −0.119755 0.142719i
\(945\) −5.61162 + 2.04246i −0.182546 + 0.0664413i
\(946\) −4.67172 4.38669i −0.151891 0.142623i
\(947\) 7.65335 + 6.42192i 0.248700 + 0.208684i 0.758612 0.651542i \(-0.225878\pi\)
−0.509912 + 0.860227i \(0.670322\pi\)
\(948\) −9.30437 1.64061i −0.302192 0.0532846i
\(949\) 51.2424i 1.66340i
\(950\) 17.6388 + 9.62296i 0.572278 + 0.312210i
\(951\) −14.0788 −0.456535
\(952\) −2.30580 + 13.0769i −0.0747315 + 0.423823i
\(953\) −15.4596 12.9721i −0.500785 0.420209i 0.357088 0.934071i \(-0.383770\pi\)
−0.857873 + 0.513862i \(0.828214\pi\)
\(954\) −8.35997 + 22.9688i −0.270664 + 0.743643i
\(955\) −12.1591 + 4.42555i −0.393460 + 0.143208i
\(956\) −3.30546 3.93929i −0.106906 0.127406i
\(957\) −1.43480 12.0285i −0.0463804 0.388827i
\(958\) 17.0964 + 9.87062i 0.552360 + 0.318905i
\(959\) −38.5461 + 6.79671i −1.24472 + 0.219477i
\(960\) 0.571383 0.100750i 0.0184413 0.00325170i
\(961\) 27.2398 47.1807i 0.878702 1.52196i
\(962\) −2.83770 + 1.63835i −0.0914911 + 0.0528224i
\(963\) 20.2921 17.0271i 0.653903 0.548690i
\(964\) −20.9630 + 7.62991i −0.675173 + 0.245743i
\(965\) 4.48291 + 1.63165i 0.144310 + 0.0525245i
\(966\) 0.0780400 + 0.0654833i 0.00251090 + 0.00210689i
\(967\) −49.1650 8.66911i −1.58104 0.278780i −0.686962 0.726693i \(-0.741056\pi\)
−0.894077 + 0.447913i \(0.852167\pi\)
\(968\) −7.58644 7.96529i −0.243838 0.256014i
\(969\) −8.56417 + 25.4260i −0.275121 + 0.816799i
\(970\) 5.33400i 0.171265i
\(971\) 5.34667 + 0.942762i 0.171583 + 0.0302547i 0.258779 0.965936i \(-0.416680\pi\)
−0.0871967 + 0.996191i \(0.527791\pi\)
\(972\) −10.3835 + 12.3746i −0.333052 + 0.396916i
\(973\) 25.1956 + 9.17045i 0.807734 + 0.293991i
\(974\) 5.47399 + 15.0397i 0.175398 + 0.481902i
\(975\) −10.1078 12.0460i −0.323708 0.385780i
\(976\) 2.23178 1.28852i 0.0714375 0.0412444i
\(977\) 17.9086 + 10.3395i 0.572946 + 0.330791i 0.758325 0.651876i \(-0.226018\pi\)
−0.185379 + 0.982667i \(0.559351\pi\)
\(978\) 14.7707 2.60447i 0.472314 0.0832816i
\(979\) 8.85245 37.7493i 0.282925 1.20647i
\(980\) 0.932937 1.61589i 0.0298016 0.0516179i
\(981\) −4.16182 7.20849i −0.132877 0.230149i
\(982\) 3.97015 + 4.73144i 0.126693 + 0.150986i
\(983\) 9.51830 + 26.1513i 0.303587 + 0.834098i 0.993870 + 0.110558i \(0.0352638\pi\)
−0.690283 + 0.723539i \(0.742514\pi\)
\(984\) −0.987772 + 2.71388i −0.0314890 + 0.0865154i
\(985\) 1.97890 2.35837i 0.0630531 0.0751438i
\(986\) −25.6728 4.52681i −0.817590 0.144163i
\(987\) 3.64355 0.115975
\(988\) −9.99289 + 12.5112i −0.317916 + 0.398033i
\(989\) 0.105805i 0.00336439i
\(990\) −3.70654 2.42528i −0.117802 0.0770806i
\(991\) −24.9213 + 29.7000i −0.791651 + 0.943452i −0.999397 0.0347304i \(-0.988943\pi\)
0.207746 + 0.978183i \(0.433387\pi\)
\(992\) 3.16215 8.68794i 0.100398 0.275842i
\(993\) −6.52610 + 2.37531i −0.207100 + 0.0753781i
\(994\) 22.1491 18.5853i 0.702527 0.589490i
\(995\) 4.06601 + 7.04253i 0.128901 + 0.223263i
\(996\) −8.24303 + 14.2773i −0.261190 + 0.452395i
\(997\) 16.8457 2.97036i 0.533510 0.0940722i 0.0995983 0.995028i \(-0.468244\pi\)
0.433911 + 0.900956i \(0.357133\pi\)
\(998\) 0.0784329 + 0.444815i 0.00248275 + 0.0140804i
\(999\) −2.12787 + 3.68558i −0.0673228 + 0.116607i
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 418.2.q.b.21.4 yes 60
11.10 odd 2 418.2.q.a.21.4 60
19.10 odd 18 418.2.q.a.219.4 yes 60
209.10 even 18 inner 418.2.q.b.219.4 yes 60
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
418.2.q.a.21.4 60 11.10 odd 2
418.2.q.a.219.4 yes 60 19.10 odd 18
418.2.q.b.21.4 yes 60 1.1 even 1 trivial
418.2.q.b.219.4 yes 60 209.10 even 18 inner