Properties

Label 189.2.v.a.169.9
Level $189$
Weight $2$
Character 189.169
Analytic conductor $1.509$
Analytic rank $0$
Dimension $54$
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] = [189,2,Mod(22,189)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(189, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([14, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.22");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.v (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: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(54\)
Relative dimension: \(9\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 169.9
Character \(\chi\) \(=\) 189.169
Dual form 189.2.v.a.85.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(2.16628 - 0.788461i) q^{2} +(-0.782354 + 1.54529i) q^{3} +(2.53900 - 2.13048i) q^{4} +(0.276602 + 1.56869i) q^{5} +(-0.476396 + 3.96438i) q^{6} +(0.766044 + 0.642788i) q^{7} +(1.51508 - 2.62420i) q^{8} +(-1.77584 - 2.41793i) q^{9} +O(q^{10})\) \(q+(2.16628 - 0.788461i) q^{2} +(-0.782354 + 1.54529i) q^{3} +(2.53900 - 2.13048i) q^{4} +(0.276602 + 1.56869i) q^{5} +(-0.476396 + 3.96438i) q^{6} +(0.766044 + 0.642788i) q^{7} +(1.51508 - 2.62420i) q^{8} +(-1.77584 - 2.41793i) q^{9} +(1.83605 + 3.18012i) q^{10} +(0.665444 - 3.77392i) q^{11} +(1.30580 + 5.59028i) q^{12} +(-2.53851 - 0.923941i) q^{13} +(2.16628 + 0.788461i) q^{14} +(-2.64048 - 0.799839i) q^{15} +(0.0619224 - 0.351179i) q^{16} +(-1.47643 - 2.55724i) q^{17} +(-5.75341 - 3.83772i) q^{18} +(1.47309 - 2.55147i) q^{19} +(4.04434 + 3.39361i) q^{20} +(-1.59261 + 0.680873i) q^{21} +(-1.53405 - 8.70004i) q^{22} +(-2.49939 + 2.09724i) q^{23} +(2.86982 + 4.39430i) q^{24} +(2.31419 - 0.842297i) q^{25} -6.22760 q^{26} +(5.12574 - 0.852516i) q^{27} +3.31443 q^{28} +(-6.77348 + 2.46535i) q^{29} +(-6.35065 + 0.349239i) q^{30} +(-3.47133 + 2.91279i) q^{31} +(0.909616 + 5.15869i) q^{32} +(5.31119 + 3.98085i) q^{33} +(-5.21464 - 4.37560i) q^{34} +(-0.796444 + 1.37948i) q^{35} +(-9.66021 - 2.35574i) q^{36} +(4.88076 + 8.45372i) q^{37} +(1.17939 - 6.68867i) q^{38} +(3.41377 - 3.19988i) q^{39} +(4.53563 + 1.65083i) q^{40} +(-4.91556 - 1.78912i) q^{41} +(-2.91320 + 2.73067i) q^{42} +(2.16681 - 12.2886i) q^{43} +(-6.35068 - 10.9997i) q^{44} +(3.30177 - 3.45455i) q^{45} +(-3.76079 + 6.51388i) q^{46} +(4.32481 + 3.62895i) q^{47} +(0.494229 + 0.370435i) q^{48} +(0.173648 + 0.984808i) q^{49} +(4.34906 - 3.64930i) q^{50} +(5.10677 - 0.280835i) q^{51} +(-8.41371 + 3.06234i) q^{52} -4.32978 q^{53} +(10.4316 - 5.88823i) q^{54} +6.10416 q^{55} +(2.84743 - 1.03638i) q^{56} +(2.79028 + 4.27251i) q^{57} +(-12.7294 + 10.6812i) q^{58} +(-1.02409 - 5.80790i) q^{59} +(-8.40822 + 3.59468i) q^{60} +(8.74834 + 7.34073i) q^{61} +(-5.22325 + 9.04693i) q^{62} +(0.193840 - 2.99373i) q^{63} +(6.39450 + 11.0756i) q^{64} +(0.747219 - 4.23769i) q^{65} +(14.6443 + 4.43596i) q^{66} +(11.0049 + 4.00547i) q^{67} +(-9.19680 - 3.34736i) q^{68} +(-1.28543 - 5.50307i) q^{69} +(-0.637652 + 3.61630i) q^{70} +(-2.86587 - 4.96383i) q^{71} +(-9.03569 + 0.996807i) q^{72} +(-6.41298 + 11.1076i) q^{73} +(17.2385 + 14.4648i) q^{74} +(-0.508925 + 4.23507i) q^{75} +(-1.69566 - 9.61657i) q^{76} +(2.93559 - 2.46325i) q^{77} +(4.87219 - 9.62345i) q^{78} +(4.96308 - 1.80641i) q^{79} +0.568018 q^{80} +(-2.69276 + 8.58773i) q^{81} -12.0591 q^{82} +(1.95374 - 0.711102i) q^{83} +(-2.59306 + 5.12176i) q^{84} +(3.60314 - 3.02339i) q^{85} +(-4.99516 - 28.3290i) q^{86} +(1.48959 - 12.3958i) q^{87} +(-8.89532 - 7.46406i) q^{88} +(-6.51492 + 11.2842i) q^{89} +(4.42878 - 10.0868i) q^{90} +(-1.35071 - 2.33950i) q^{91} +(-1.87785 + 10.6498i) q^{92} +(-1.78530 - 7.64305i) q^{93} +(12.2300 + 4.45137i) q^{94} +(4.40992 + 1.60508i) q^{95} +(-8.68331 - 2.63030i) q^{96} +(2.45003 - 13.8948i) q^{97} +(1.15265 + 1.99645i) q^{98} +(-10.3068 + 5.09289i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54 q - 3 q^{3} - 3 q^{5} - 27 q^{8} - 9 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 54 q - 3 q^{3} - 3 q^{5} - 27 q^{8} - 9 q^{9} - 6 q^{11} + 24 q^{12} - 9 q^{13} - 9 q^{15} - 30 q^{17} - 27 q^{18} - 12 q^{20} - 3 q^{21} - 9 q^{22} - 12 q^{23} + 36 q^{24} + 27 q^{25} + 18 q^{26} + 63 q^{27} + 54 q^{28} + 6 q^{29} - 72 q^{30} - 9 q^{31} - 9 q^{32} - 36 q^{33} - 9 q^{34} - 12 q^{35} + 54 q^{38} + 12 q^{39} - 45 q^{40} - 15 q^{41} - 18 q^{42} - 9 q^{43} - 42 q^{44} - 9 q^{45} - 45 q^{47} - 93 q^{48} + 18 q^{50} + 72 q^{51} - 63 q^{52} + 132 q^{53} + 54 q^{54} - 9 q^{56} + 3 q^{57} - 27 q^{58} - 9 q^{60} - 36 q^{62} - 9 q^{63} - 27 q^{64} + 66 q^{65} + 153 q^{66} + 45 q^{67} + 87 q^{68} - 72 q^{71} - 45 q^{72} - 72 q^{74} - 39 q^{75} + 54 q^{76} + 3 q^{77} - 54 q^{78} - 36 q^{79} + 42 q^{80} + 27 q^{81} + 24 q^{83} - 12 q^{84} + 18 q^{85} - 90 q^{86} - 99 q^{87} + 54 q^{88} - 42 q^{89} - 9 q^{90} + 87 q^{92} + 93 q^{93} - 90 q^{94} + 12 q^{95} + 108 q^{96} - 18 q^{97} - 9 q^{98} - 117 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.16628 0.788461i 1.53179 0.557526i 0.567731 0.823214i \(-0.307821\pi\)
0.964059 + 0.265688i \(0.0855991\pi\)
\(3\) −0.782354 + 1.54529i −0.451692 + 0.892174i
\(4\) 2.53900 2.13048i 1.26950 1.06524i
\(5\) 0.276602 + 1.56869i 0.123700 + 0.701538i 0.982071 + 0.188509i \(0.0603656\pi\)
−0.858371 + 0.513029i \(0.828523\pi\)
\(6\) −0.476396 + 3.96438i −0.194488 + 1.61845i
\(7\) 0.766044 + 0.642788i 0.289538 + 0.242951i
\(8\) 1.51508 2.62420i 0.535663 0.927796i
\(9\) −1.77584 2.41793i −0.591948 0.805976i
\(10\) 1.83605 + 3.18012i 0.580609 + 1.00564i
\(11\) 0.665444 3.77392i 0.200639 1.13788i −0.703518 0.710678i \(-0.748388\pi\)
0.904156 0.427202i \(-0.140501\pi\)
\(12\) 1.30580 + 5.59028i 0.376953 + 1.61378i
\(13\) −2.53851 0.923941i −0.704055 0.256255i −0.0349138 0.999390i \(-0.511116\pi\)
−0.669141 + 0.743135i \(0.733338\pi\)
\(14\) 2.16628 + 0.788461i 0.578962 + 0.210725i
\(15\) −2.64048 0.799839i −0.681769 0.206518i
\(16\) 0.0619224 0.351179i 0.0154806 0.0877948i
\(17\) −1.47643 2.55724i −0.358086 0.620223i 0.629555 0.776956i \(-0.283237\pi\)
−0.987641 + 0.156733i \(0.949904\pi\)
\(18\) −5.75341 3.83772i −1.35609 0.904560i
\(19\) 1.47309 2.55147i 0.337950 0.585347i −0.646097 0.763256i \(-0.723600\pi\)
0.984047 + 0.177908i \(0.0569331\pi\)
\(20\) 4.04434 + 3.39361i 0.904343 + 0.758834i
\(21\) −1.59261 + 0.680873i −0.347536 + 0.148579i
\(22\) −1.53405 8.70004i −0.327061 1.85485i
\(23\) −2.49939 + 2.09724i −0.521160 + 0.437305i −0.865036 0.501710i \(-0.832704\pi\)
0.343876 + 0.939015i \(0.388260\pi\)
\(24\) 2.86982 + 4.39430i 0.585800 + 0.896983i
\(25\) 2.31419 0.842297i 0.462838 0.168459i
\(26\) −6.22760 −1.22133
\(27\) 5.12574 0.852516i 0.986449 0.164067i
\(28\) 3.31443 0.626369
\(29\) −6.77348 + 2.46535i −1.25780 + 0.457803i −0.883032 0.469314i \(-0.844501\pi\)
−0.374772 + 0.927117i \(0.622279\pi\)
\(30\) −6.35065 + 0.349239i −1.15947 + 0.0637621i
\(31\) −3.47133 + 2.91279i −0.623470 + 0.523153i −0.898892 0.438170i \(-0.855627\pi\)
0.275422 + 0.961323i \(0.411182\pi\)
\(32\) 0.909616 + 5.15869i 0.160799 + 0.911936i
\(33\) 5.31119 + 3.98085i 0.924559 + 0.692976i
\(34\) −5.21464 4.37560i −0.894303 0.750409i
\(35\) −0.796444 + 1.37948i −0.134624 + 0.233175i
\(36\) −9.66021 2.35574i −1.61004 0.392623i
\(37\) 4.88076 + 8.45372i 0.802391 + 1.38978i 0.918038 + 0.396492i \(0.129773\pi\)
−0.115647 + 0.993290i \(0.536894\pi\)
\(38\) 1.17939 6.68867i 0.191323 1.08505i
\(39\) 3.41377 3.19988i 0.546640 0.512391i
\(40\) 4.53563 + 1.65083i 0.717146 + 0.261020i
\(41\) −4.91556 1.78912i −0.767682 0.279413i −0.0716553 0.997429i \(-0.522828\pi\)
−0.696026 + 0.718016i \(0.745050\pi\)
\(42\) −2.91320 + 2.73067i −0.449516 + 0.421352i
\(43\) 2.16681 12.2886i 0.330435 1.87399i −0.137907 0.990445i \(-0.544037\pi\)
0.468342 0.883547i \(-0.344852\pi\)
\(44\) −6.35068 10.9997i −0.957401 1.65827i
\(45\) 3.30177 3.45455i 0.492199 0.514974i
\(46\) −3.76079 + 6.51388i −0.554498 + 0.960419i
\(47\) 4.32481 + 3.62895i 0.630839 + 0.529337i 0.901190 0.433425i \(-0.142695\pi\)
−0.270351 + 0.962762i \(0.587140\pi\)
\(48\) 0.494229 + 0.370435i 0.0713358 + 0.0534676i
\(49\) 0.173648 + 0.984808i 0.0248069 + 0.140687i
\(50\) 4.34906 3.64930i 0.615051 0.516089i
\(51\) 5.10677 0.280835i 0.715091 0.0393248i
\(52\) −8.41371 + 3.06234i −1.16677 + 0.424670i
\(53\) −4.32978 −0.594741 −0.297370 0.954762i \(-0.596110\pi\)
−0.297370 + 0.954762i \(0.596110\pi\)
\(54\) 10.4316 5.88823i 1.41956 0.801287i
\(55\) 6.10416 0.823085
\(56\) 2.84743 1.03638i 0.380503 0.138492i
\(57\) 2.79028 + 4.27251i 0.369582 + 0.565907i
\(58\) −12.7294 + 10.6812i −1.67145 + 1.40252i
\(59\) −1.02409 5.80790i −0.133325 0.756124i −0.976011 0.217719i \(-0.930138\pi\)
0.842686 0.538405i \(-0.180973\pi\)
\(60\) −8.40822 + 3.59468i −1.08550 + 0.464071i
\(61\) 8.74834 + 7.34073i 1.12011 + 0.939884i 0.998610 0.0527078i \(-0.0167852\pi\)
0.121500 + 0.992591i \(0.461230\pi\)
\(62\) −5.22325 + 9.04693i −0.663353 + 1.14896i
\(63\) 0.193840 2.99373i 0.0244215 0.377175i
\(64\) 6.39450 + 11.0756i 0.799313 + 1.38445i
\(65\) 0.747219 4.23769i 0.0926811 0.525620i
\(66\) 14.6443 + 4.43596i 1.80258 + 0.546029i
\(67\) 11.0049 + 4.00547i 1.34447 + 0.489346i 0.911217 0.411928i \(-0.135144\pi\)
0.433250 + 0.901274i \(0.357367\pi\)
\(68\) −9.19680 3.34736i −1.11528 0.405927i
\(69\) −1.28543 5.50307i −0.154748 0.662492i
\(70\) −0.637652 + 3.61630i −0.0762140 + 0.432231i
\(71\) −2.86587 4.96383i −0.340116 0.589098i 0.644338 0.764741i \(-0.277133\pi\)
−0.984454 + 0.175643i \(0.943800\pi\)
\(72\) −9.03569 + 0.996807i −1.06487 + 0.117475i
\(73\) −6.41298 + 11.1076i −0.750583 + 1.30005i 0.196958 + 0.980412i \(0.436894\pi\)
−0.947541 + 0.319636i \(0.896439\pi\)
\(74\) 17.2385 + 14.4648i 2.00394 + 1.68150i
\(75\) −0.508925 + 4.23507i −0.0587656 + 0.489024i
\(76\) −1.69566 9.61657i −0.194506 1.10310i
\(77\) 2.93559 2.46325i 0.334541 0.280714i
\(78\) 4.87219 9.62345i 0.551667 1.08964i
\(79\) 4.96308 1.80641i 0.558390 0.203237i −0.0473801 0.998877i \(-0.515087\pi\)
0.605770 + 0.795639i \(0.292865\pi\)
\(80\) 0.568018 0.0635064
\(81\) −2.69276 + 8.58773i −0.299196 + 0.954192i
\(82\) −12.0591 −1.33171
\(83\) 1.95374 0.711102i 0.214450 0.0780536i −0.232561 0.972582i \(-0.574711\pi\)
0.447011 + 0.894528i \(0.352488\pi\)
\(84\) −2.59306 + 5.12176i −0.282926 + 0.558830i
\(85\) 3.60314 3.02339i 0.390815 0.327933i
\(86\) −4.99516 28.3290i −0.538642 3.05479i
\(87\) 1.48959 12.3958i 0.159701 1.32897i
\(88\) −8.89532 7.46406i −0.948245 0.795672i
\(89\) −6.51492 + 11.2842i −0.690580 + 1.19612i 0.281069 + 0.959688i \(0.409311\pi\)
−0.971648 + 0.236431i \(0.924022\pi\)
\(90\) 4.42878 10.0868i 0.466835 1.06325i
\(91\) −1.35071 2.33950i −0.141593 0.245246i
\(92\) −1.87785 + 10.6498i −0.195779 + 1.11032i
\(93\) −1.78530 7.64305i −0.185127 0.792548i
\(94\) 12.2300 + 4.45137i 1.26143 + 0.459124i
\(95\) 4.40992 + 1.60508i 0.452448 + 0.164678i
\(96\) −8.68331 2.63030i −0.886237 0.268454i
\(97\) 2.45003 13.8948i 0.248763 1.41080i −0.562826 0.826576i \(-0.690286\pi\)
0.811589 0.584229i \(-0.198603\pi\)
\(98\) 1.15265 + 1.99645i 0.116435 + 0.201672i
\(99\) −10.3068 + 5.09289i −1.03587 + 0.511855i
\(100\) 4.08124 7.06892i 0.408124 0.706892i
\(101\) −11.9315 10.0117i −1.18723 0.996204i −0.999903 0.0139065i \(-0.995573\pi\)
−0.187327 0.982298i \(-0.559982\pi\)
\(102\) 10.8413 4.63486i 1.07345 0.458919i
\(103\) −1.02675 5.82297i −0.101168 0.573755i −0.992682 0.120760i \(-0.961467\pi\)
0.891513 0.452995i \(-0.149644\pi\)
\(104\) −6.27066 + 5.26171i −0.614889 + 0.515953i
\(105\) −1.50860 2.30998i −0.147224 0.225431i
\(106\) −9.37951 + 3.41386i −0.911018 + 0.331584i
\(107\) 4.62887 0.447490 0.223745 0.974648i \(-0.428172\pi\)
0.223745 + 0.974648i \(0.428172\pi\)
\(108\) 11.1980 13.0848i 1.07753 1.25909i
\(109\) 1.02008 0.0977063 0.0488531 0.998806i \(-0.484443\pi\)
0.0488531 + 0.998806i \(0.484443\pi\)
\(110\) 13.2233 4.81289i 1.26079 0.458891i
\(111\) −16.8819 + 0.928382i −1.60236 + 0.0881181i
\(112\) 0.273169 0.229216i 0.0258120 0.0216589i
\(113\) 3.27864 + 18.5941i 0.308429 + 1.74919i 0.606910 + 0.794770i \(0.292409\pi\)
−0.298482 + 0.954415i \(0.596480\pi\)
\(114\) 9.41323 + 7.05541i 0.881630 + 0.660800i
\(115\) −3.98125 3.34067i −0.371254 0.311519i
\(116\) −11.9455 + 20.6903i −1.10911 + 1.92104i
\(117\) 2.27397 + 7.77870i 0.210228 + 0.719141i
\(118\) −6.79776 11.7741i −0.625785 1.08389i
\(119\) 0.512757 2.90799i 0.0470044 0.266575i
\(120\) −6.09949 + 5.71733i −0.556804 + 0.521918i
\(121\) −3.46303 1.26044i −0.314821 0.114586i
\(122\) 24.7392 + 9.00433i 2.23978 + 0.815214i
\(123\) 6.61042 6.19625i 0.596041 0.558697i
\(124\) −2.60808 + 14.7912i −0.234213 + 1.32829i
\(125\) 5.94363 + 10.2947i 0.531614 + 0.920783i
\(126\) −1.94053 6.63809i −0.172876 0.591368i
\(127\) −5.02593 + 8.70517i −0.445979 + 0.772459i −0.998120 0.0612921i \(-0.980478\pi\)
0.552140 + 0.833751i \(0.313811\pi\)
\(128\) 14.5595 + 12.2168i 1.28689 + 1.07983i
\(129\) 17.2942 + 12.9624i 1.52267 + 1.14127i
\(130\) −1.72257 9.76916i −0.151079 0.856812i
\(131\) 15.1384 12.7026i 1.32265 1.10983i 0.336913 0.941536i \(-0.390617\pi\)
0.985736 0.168298i \(-0.0538272\pi\)
\(132\) 21.9662 1.20798i 1.91191 0.105141i
\(133\) 2.76851 1.00765i 0.240060 0.0873747i
\(134\) 26.9979 2.33226
\(135\) 2.75512 + 7.80488i 0.237123 + 0.671737i
\(136\) −8.94764 −0.767253
\(137\) −5.07969 + 1.84886i −0.433988 + 0.157959i −0.549770 0.835316i \(-0.685285\pi\)
0.115783 + 0.993275i \(0.463062\pi\)
\(138\) −7.12357 10.9077i −0.606398 0.928523i
\(139\) −7.46475 + 6.26367i −0.633152 + 0.531277i −0.901906 0.431931i \(-0.857832\pi\)
0.268755 + 0.963209i \(0.413388\pi\)
\(140\) 0.916778 + 5.19931i 0.0774819 + 0.439422i
\(141\) −8.99132 + 3.84397i −0.757205 + 0.323720i
\(142\) −10.1221 8.49341i −0.849424 0.712751i
\(143\) −5.17611 + 8.96529i −0.432848 + 0.749715i
\(144\) −0.959091 + 0.473916i −0.0799242 + 0.0394930i
\(145\) −5.74091 9.94356i −0.476757 0.825767i
\(146\) −5.13439 + 29.1186i −0.424925 + 2.40987i
\(147\) −1.65767 0.502132i −0.136722 0.0414151i
\(148\) 30.4027 + 11.0657i 2.49909 + 0.909593i
\(149\) −11.2421 4.09180i −0.920991 0.335213i −0.162358 0.986732i \(-0.551910\pi\)
−0.758633 + 0.651519i \(0.774132\pi\)
\(150\) 2.23672 + 9.57561i 0.182627 + 0.781845i
\(151\) 0.331757 1.88149i 0.0269980 0.153113i −0.968329 0.249679i \(-0.919675\pi\)
0.995327 + 0.0965661i \(0.0307859\pi\)
\(152\) −4.46371 7.73138i −0.362055 0.627098i
\(153\) −3.56133 + 8.11116i −0.287917 + 0.655748i
\(154\) 4.41712 7.65068i 0.355942 0.616510i
\(155\) −5.52944 4.63975i −0.444135 0.372674i
\(156\) 1.85030 15.3975i 0.148142 1.23278i
\(157\) −2.56531 14.5486i −0.204734 1.16110i −0.897858 0.440286i \(-0.854877\pi\)
0.693124 0.720819i \(-0.256234\pi\)
\(158\) 9.32713 7.82639i 0.742027 0.622634i
\(159\) 3.38742 6.69077i 0.268640 0.530612i
\(160\) −7.84077 + 2.85381i −0.619867 + 0.225613i
\(161\) −3.26273 −0.257139
\(162\) 0.937818 + 20.7265i 0.0736819 + 1.62843i
\(163\) −1.93796 −0.151793 −0.0758965 0.997116i \(-0.524182\pi\)
−0.0758965 + 0.997116i \(0.524182\pi\)
\(164\) −16.2923 + 5.92991i −1.27221 + 0.463048i
\(165\) −4.77562 + 9.43270i −0.371781 + 0.734335i
\(166\) 3.67166 3.08089i 0.284976 0.239123i
\(167\) 0.806102 + 4.57163i 0.0623780 + 0.353763i 0.999982 + 0.00605745i \(0.00192816\pi\)
−0.937604 + 0.347706i \(0.886961\pi\)
\(168\) −0.626191 + 5.21091i −0.0483117 + 0.402031i
\(169\) −4.36823 3.66538i −0.336018 0.281952i
\(170\) 5.42157 9.39043i 0.415815 0.720213i
\(171\) −8.78525 + 0.969180i −0.671825 + 0.0741150i
\(172\) −20.6790 35.8171i −1.57676 2.73103i
\(173\) 1.71156 9.70673i 0.130127 0.737989i −0.848002 0.529993i \(-0.822195\pi\)
0.978130 0.207996i \(-0.0666942\pi\)
\(174\) −6.54671 28.0272i −0.496305 2.12473i
\(175\) 2.31419 + 0.842297i 0.174936 + 0.0636716i
\(176\) −1.28412 0.467380i −0.0967939 0.0352301i
\(177\) 9.77609 + 2.96132i 0.734816 + 0.222586i
\(178\) −5.21600 + 29.5814i −0.390956 + 2.21722i
\(179\) 0.744910 + 1.29022i 0.0556772 + 0.0964358i 0.892521 0.451007i \(-0.148935\pi\)
−0.836843 + 0.547442i \(0.815602\pi\)
\(180\) 1.02338 15.8055i 0.0762782 1.17807i
\(181\) −1.29845 + 2.24898i −0.0965132 + 0.167166i −0.910239 0.414083i \(-0.864102\pi\)
0.813726 + 0.581249i \(0.197436\pi\)
\(182\) −4.77062 4.00303i −0.353622 0.296724i
\(183\) −18.1879 + 7.77567i −1.34448 + 0.574794i
\(184\) 1.71679 + 9.73641i 0.126564 + 0.717778i
\(185\) −11.9112 + 9.99470i −0.875730 + 0.734825i
\(186\) −9.89371 15.1493i −0.725442 1.11080i
\(187\) −10.6333 + 3.87021i −0.777585 + 0.283018i
\(188\) 18.7121 1.36472
\(189\) 4.47453 + 2.64170i 0.325474 + 0.192155i
\(190\) 10.8187 0.784868
\(191\) −8.34693 + 3.03804i −0.603963 + 0.219825i −0.625860 0.779936i \(-0.715252\pi\)
0.0218967 + 0.999760i \(0.493030\pi\)
\(192\) −22.1178 + 1.21632i −1.59621 + 0.0877801i
\(193\) −1.78325 + 1.49632i −0.128361 + 0.107707i −0.704708 0.709497i \(-0.748922\pi\)
0.576347 + 0.817205i \(0.304478\pi\)
\(194\) −5.64807 32.0318i −0.405508 2.29975i
\(195\) 5.96387 + 4.47004i 0.427081 + 0.320106i
\(196\) 2.53900 + 2.13048i 0.181357 + 0.152177i
\(197\) 10.2851 17.8143i 0.732782 1.26922i −0.222908 0.974840i \(-0.571555\pi\)
0.955690 0.294376i \(-0.0951118\pi\)
\(198\) −18.3118 + 19.1591i −1.30137 + 1.36158i
\(199\) −0.0233749 0.0404865i −0.00165700 0.00287001i 0.865196 0.501434i \(-0.167194\pi\)
−0.866853 + 0.498564i \(0.833861\pi\)
\(200\) 1.29584 7.34905i 0.0916295 0.519657i
\(201\) −14.7994 + 13.8721i −1.04387 + 0.978464i
\(202\) −33.7408 12.2807i −2.37400 0.864064i
\(203\) −6.77348 2.46535i −0.475405 0.173033i
\(204\) 12.3678 11.5929i 0.865919 0.811665i
\(205\) 1.44691 8.20585i 0.101057 0.573122i
\(206\) −6.81541 11.8046i −0.474852 0.822468i
\(207\) 9.50951 + 2.31899i 0.660957 + 0.161181i
\(208\) −0.481659 + 0.834258i −0.0333971 + 0.0578454i
\(209\) −8.64878 7.25719i −0.598249 0.501990i
\(210\) −5.08937 3.81459i −0.351200 0.263232i
\(211\) −0.889639 5.04539i −0.0612453 0.347339i −0.999996 0.00274288i \(-0.999127\pi\)
0.938751 0.344596i \(-0.111984\pi\)
\(212\) −10.9933 + 9.22449i −0.755024 + 0.633541i
\(213\) 9.91268 0.545125i 0.679206 0.0373513i
\(214\) 10.0274 3.64969i 0.685461 0.249487i
\(215\) 19.8763 1.35555
\(216\) 5.52875 14.7426i 0.376184 1.00311i
\(217\) −4.53150 −0.307619
\(218\) 2.20978 0.804296i 0.149666 0.0544738i
\(219\) −12.1473 18.6000i −0.820836 1.25687i
\(220\) 15.4985 13.0048i 1.04491 0.876782i
\(221\) 1.38517 + 7.85571i 0.0931769 + 0.528432i
\(222\) −35.8390 + 15.3219i −2.40535 + 1.02834i
\(223\) 14.7475 + 12.3746i 0.987563 + 0.828664i 0.985213 0.171334i \(-0.0548076\pi\)
0.00234979 + 0.999997i \(0.499252\pi\)
\(224\) −2.61914 + 4.53648i −0.174998 + 0.303106i
\(225\) −6.14625 4.09976i −0.409750 0.273317i
\(226\) 21.7632 + 37.6949i 1.44766 + 2.50743i
\(227\) −0.0387380 + 0.219694i −0.00257113 + 0.0145816i −0.986066 0.166353i \(-0.946801\pi\)
0.983495 + 0.180934i \(0.0579121\pi\)
\(228\) 16.1870 + 4.90328i 1.07201 + 0.324728i
\(229\) 13.9217 + 5.06708i 0.919972 + 0.334842i 0.758227 0.651990i \(-0.226066\pi\)
0.161744 + 0.986833i \(0.448288\pi\)
\(230\) −11.2585 4.09775i −0.742363 0.270198i
\(231\) 1.50977 + 6.46347i 0.0993354 + 0.425265i
\(232\) −3.79283 + 21.5102i −0.249011 + 1.41221i
\(233\) 6.64396 + 11.5077i 0.435261 + 0.753893i 0.997317 0.0732055i \(-0.0233229\pi\)
−0.562056 + 0.827099i \(0.689990\pi\)
\(234\) 11.0592 + 15.0579i 0.722966 + 0.984366i
\(235\) −4.49644 + 7.78806i −0.293315 + 0.508037i
\(236\) −14.9738 12.5645i −0.974709 0.817878i
\(237\) −1.09145 + 9.08266i −0.0708976 + 0.589982i
\(238\) −1.18206 6.70381i −0.0766217 0.434543i
\(239\) −1.84383 + 1.54716i −0.119267 + 0.100077i −0.700471 0.713681i \(-0.747027\pi\)
0.581203 + 0.813758i \(0.302582\pi\)
\(240\) −0.444392 + 0.877753i −0.0286854 + 0.0566587i
\(241\) −18.0138 + 6.55648i −1.16037 + 0.422340i −0.849229 0.528025i \(-0.822933\pi\)
−0.311140 + 0.950364i \(0.600711\pi\)
\(242\) −8.49571 −0.546125
\(243\) −11.1638 10.8797i −0.716160 0.697936i
\(244\) 37.8513 2.42318
\(245\) −1.49682 + 0.544799i −0.0956286 + 0.0348060i
\(246\) 9.43451 18.6348i 0.601522 1.18811i
\(247\) −6.09686 + 5.11587i −0.387934 + 0.325515i
\(248\) 2.38440 + 13.5226i 0.151410 + 0.858686i
\(249\) −0.429655 + 3.57542i −0.0272283 + 0.226583i
\(250\) 20.9925 + 17.6148i 1.32768 + 1.11406i
\(251\) 7.22351 12.5115i 0.455944 0.789718i −0.542798 0.839863i \(-0.682635\pi\)
0.998742 + 0.0501451i \(0.0159684\pi\)
\(252\) −5.88591 8.01406i −0.370778 0.504838i
\(253\) 6.25161 + 10.8281i 0.393035 + 0.680757i
\(254\) −4.02388 + 22.8206i −0.252481 + 1.43189i
\(255\) 1.85309 + 7.93325i 0.116045 + 0.496799i
\(256\) 17.1369 + 6.23731i 1.07105 + 0.389832i
\(257\) 19.0345 + 6.92798i 1.18734 + 0.432156i 0.858788 0.512331i \(-0.171218\pi\)
0.328550 + 0.944487i \(0.393440\pi\)
\(258\) 47.6844 + 14.4443i 2.96870 + 0.899263i
\(259\) −1.69507 + 9.61321i −0.105326 + 0.597336i
\(260\) −7.13110 12.3514i −0.442252 0.766003i
\(261\) 17.9897 + 11.9997i 1.11353 + 0.742765i
\(262\) 22.7785 39.4535i 1.40726 2.43744i
\(263\) −20.8410 17.4877i −1.28511 1.07834i −0.992518 0.122102i \(-0.961037\pi\)
−0.292596 0.956236i \(-0.594519\pi\)
\(264\) 18.4934 7.90632i 1.13819 0.486600i
\(265\) −1.19763 6.79207i −0.0735695 0.417234i
\(266\) 5.20286 4.36572i 0.319008 0.267679i
\(267\) −12.3403 18.8957i −0.755216 1.15640i
\(268\) 36.4751 13.2759i 2.22807 0.810952i
\(269\) −6.18945 −0.377377 −0.188689 0.982037i \(-0.560424\pi\)
−0.188689 + 0.982037i \(0.560424\pi\)
\(270\) 12.1222 + 14.7352i 0.737734 + 0.896758i
\(271\) −14.2793 −0.867405 −0.433703 0.901056i \(-0.642793\pi\)
−0.433703 + 0.901056i \(0.642793\pi\)
\(272\) −0.989475 + 0.360139i −0.0599957 + 0.0218367i
\(273\) 4.67194 0.256922i 0.282759 0.0155497i
\(274\) −9.54628 + 8.01028i −0.576712 + 0.483919i
\(275\) −1.63880 9.29407i −0.0988231 0.560454i
\(276\) −14.9879 11.2337i −0.902165 0.676191i
\(277\) −10.2427 8.59462i −0.615422 0.516401i 0.280939 0.959726i \(-0.409354\pi\)
−0.896361 + 0.443325i \(0.853799\pi\)
\(278\) −11.2321 + 19.4545i −0.673654 + 1.16680i
\(279\) 13.2075 + 3.22077i 0.790711 + 0.192822i
\(280\) 2.41336 + 4.18006i 0.144226 + 0.249806i
\(281\) 1.97403 11.1953i 0.117761 0.667856i −0.867585 0.497289i \(-0.834329\pi\)
0.985346 0.170567i \(-0.0545599\pi\)
\(282\) −16.4469 + 15.4164i −0.979397 + 0.918034i
\(283\) −1.30975 0.476711i −0.0778567 0.0283375i 0.302798 0.953055i \(-0.402079\pi\)
−0.380655 + 0.924717i \(0.624301\pi\)
\(284\) −17.8518 6.49751i −1.05931 0.385556i
\(285\) −5.93043 + 5.55886i −0.351288 + 0.329279i
\(286\) −4.14412 + 23.5025i −0.245047 + 1.38973i
\(287\) −2.61552 4.53021i −0.154389 0.267410i
\(288\) 10.8580 11.3604i 0.639814 0.669419i
\(289\) 4.14033 7.17127i 0.243549 0.421839i
\(290\) −20.2765 17.0140i −1.19068 0.999098i
\(291\) 19.5547 + 14.6567i 1.14632 + 0.859190i
\(292\) 7.38192 + 41.8650i 0.431994 + 2.44996i
\(293\) 6.98783 5.86348i 0.408233 0.342548i −0.415433 0.909624i \(-0.636370\pi\)
0.823666 + 0.567076i \(0.191925\pi\)
\(294\) −3.98688 + 0.219249i −0.232520 + 0.0127869i
\(295\) 8.82752 3.21295i 0.513958 0.187065i
\(296\) 29.5790 1.71925
\(297\) 0.193564 19.9114i 0.0112317 1.15538i
\(298\) −27.5798 −1.59765
\(299\) 8.28245 3.01457i 0.478987 0.174337i
\(300\) 7.73056 + 11.8371i 0.446324 + 0.683416i
\(301\) 9.55883 8.02081i 0.550962 0.462312i
\(302\) −0.764801 4.33740i −0.0440093 0.249589i
\(303\) 24.8057 10.6049i 1.42505 0.609237i
\(304\) −0.804806 0.675312i −0.0461588 0.0387318i
\(305\) −9.09550 + 15.7539i −0.520807 + 0.902064i
\(306\) −1.31951 + 20.3790i −0.0754314 + 1.16499i
\(307\) −12.1994 21.1299i −0.696254 1.20595i −0.969756 0.244076i \(-0.921515\pi\)
0.273502 0.961872i \(-0.411818\pi\)
\(308\) 2.20557 12.5084i 0.125674 0.712732i
\(309\) 9.80147 + 2.96901i 0.557586 + 0.168901i
\(310\) −15.6366 5.69125i −0.888098 0.323241i
\(311\) 25.6619 + 9.34015i 1.45515 + 0.529632i 0.944025 0.329874i \(-0.107006\pi\)
0.511126 + 0.859506i \(0.329229\pi\)
\(312\) −3.22499 13.8065i −0.182579 0.781639i
\(313\) 4.86695 27.6019i 0.275097 1.56015i −0.463558 0.886066i \(-0.653428\pi\)
0.738655 0.674084i \(-0.235461\pi\)
\(314\) −17.0282 29.4937i −0.960955 1.66442i
\(315\) 4.74985 0.523998i 0.267623 0.0295239i
\(316\) 8.75276 15.1602i 0.492381 0.852829i
\(317\) 12.9364 + 10.8550i 0.726583 + 0.609675i 0.929198 0.369583i \(-0.120499\pi\)
−0.202615 + 0.979259i \(0.564944\pi\)
\(318\) 2.06269 17.1649i 0.115670 0.962560i
\(319\) 4.79664 + 27.2031i 0.268561 + 1.52308i
\(320\) −15.6054 + 13.0945i −0.872370 + 0.732005i
\(321\) −3.62142 + 7.15295i −0.202128 + 0.399239i
\(322\) −7.06798 + 2.57253i −0.393883 + 0.143362i
\(323\) −8.69964 −0.484061
\(324\) 11.4590 + 27.5411i 0.636612 + 1.53006i
\(325\) −6.65282 −0.369032
\(326\) −4.19817 + 1.52801i −0.232515 + 0.0846286i
\(327\) −0.798067 + 1.57632i −0.0441332 + 0.0871710i
\(328\) −12.1425 + 10.1888i −0.670457 + 0.562580i
\(329\) 0.980356 + 5.55987i 0.0540488 + 0.306526i
\(330\) −2.90800 + 24.1993i −0.160080 + 1.33212i
\(331\) 8.50582 + 7.13723i 0.467522 + 0.392298i 0.845890 0.533358i \(-0.179070\pi\)
−0.378367 + 0.925655i \(0.623514\pi\)
\(332\) 3.44556 5.96788i 0.189099 0.327530i
\(333\) 11.7730 26.8138i 0.645158 1.46939i
\(334\) 5.35079 + 9.26785i 0.292782 + 0.507114i
\(335\) −3.23934 + 18.3712i −0.176984 + 1.00373i
\(336\) 0.140490 + 0.601453i 0.00766437 + 0.0328120i
\(337\) −16.7172 6.08458i −0.910646 0.331448i −0.156135 0.987736i \(-0.549904\pi\)
−0.754511 + 0.656288i \(0.772126\pi\)
\(338\) −12.3528 4.49605i −0.671904 0.244553i
\(339\) −31.2983 9.48072i −1.69989 0.514922i
\(340\) 2.70711 15.3528i 0.146814 0.832622i
\(341\) 8.68267 + 15.0388i 0.470193 + 0.814399i
\(342\) −18.2671 + 9.02634i −0.987774 + 0.488089i
\(343\) −0.500000 + 0.866025i −0.0269975 + 0.0467610i
\(344\) −28.9648 24.3044i −1.56168 1.31041i
\(345\) 8.27705 3.53860i 0.445621 0.190512i
\(346\) −3.94567 22.3770i −0.212120 1.20299i
\(347\) 20.6566 17.3329i 1.10890 0.930481i 0.110913 0.993830i \(-0.464622\pi\)
0.997991 + 0.0633487i \(0.0201780\pi\)
\(348\) −22.6268 34.6464i −1.21292 1.85724i
\(349\) 6.08487 2.21471i 0.325715 0.118551i −0.173987 0.984748i \(-0.555665\pi\)
0.499702 + 0.866197i \(0.333443\pi\)
\(350\) 5.67730 0.303464
\(351\) −13.7994 2.57176i −0.736558 0.137271i
\(352\) 20.0738 1.06994
\(353\) 25.8416 9.40556i 1.37541 0.500608i 0.454625 0.890683i \(-0.349773\pi\)
0.920783 + 0.390075i \(0.127551\pi\)
\(354\) 23.5126 1.29302i 1.24968 0.0687233i
\(355\) 6.99399 5.86866i 0.371203 0.311476i
\(356\) 7.49926 + 42.5304i 0.397460 + 2.25411i
\(357\) 4.09253 + 3.06744i 0.216600 + 0.162346i
\(358\) 2.63097 + 2.20765i 0.139051 + 0.116678i
\(359\) 5.89820 10.2160i 0.311295 0.539179i −0.667348 0.744746i \(-0.732570\pi\)
0.978643 + 0.205567i \(0.0659038\pi\)
\(360\) −4.06297 13.8984i −0.214137 0.732513i
\(361\) 5.16000 + 8.93739i 0.271579 + 0.470389i
\(362\) −1.03957 + 5.89570i −0.0546387 + 0.309871i
\(363\) 4.65707 4.36528i 0.244433 0.229118i
\(364\) −8.41371 3.06234i −0.440998 0.160510i
\(365\) −19.1982 6.98758i −1.00488 0.365747i
\(366\) −33.2691 + 31.1847i −1.73901 + 1.63005i
\(367\) 1.66246 9.42828i 0.0867797 0.492152i −0.910179 0.414216i \(-0.864056\pi\)
0.996958 0.0779363i \(-0.0248331\pi\)
\(368\) 0.581739 + 1.00760i 0.0303252 + 0.0525249i
\(369\) 4.40331 + 15.0627i 0.229227 + 0.784131i
\(370\) −17.9226 + 31.0428i −0.931751 + 1.61384i
\(371\) −3.31680 2.78313i −0.172200 0.144493i
\(372\) −20.8162 15.6022i −1.07927 0.808936i
\(373\) 5.82067 + 33.0107i 0.301383 + 1.70923i 0.640060 + 0.768325i \(0.278910\pi\)
−0.338677 + 0.940903i \(0.609979\pi\)
\(374\) −19.9832 + 16.7679i −1.03331 + 0.867048i
\(375\) −20.5583 + 1.13055i −1.06162 + 0.0583815i
\(376\) 16.0756 5.85102i 0.829033 0.301743i
\(377\) 19.4724 1.00288
\(378\) 11.7760 + 2.19466i 0.605690 + 0.112881i
\(379\) −19.1464 −0.983484 −0.491742 0.870741i \(-0.663640\pi\)
−0.491742 + 0.870741i \(0.663640\pi\)
\(380\) 14.6164 5.31993i 0.749804 0.272906i
\(381\) −9.51995 14.5771i −0.487722 0.746805i
\(382\) −15.6864 + 13.1625i −0.802587 + 0.673450i
\(383\) 1.07858 + 6.11692i 0.0551128 + 0.312560i 0.999885 0.0151677i \(-0.00482821\pi\)
−0.944772 + 0.327728i \(0.893717\pi\)
\(384\) −30.2692 + 12.9407i −1.54467 + 0.660377i
\(385\) 4.67606 + 3.92368i 0.238314 + 0.199969i
\(386\) −2.68322 + 4.64747i −0.136572 + 0.236550i
\(387\) −33.5609 + 16.5834i −1.70599 + 0.842983i
\(388\) −23.3819 40.4987i −1.18704 2.05601i
\(389\) 1.80355 10.2284i 0.0914437 0.518603i −0.904336 0.426822i \(-0.859633\pi\)
0.995779 0.0917806i \(-0.0292559\pi\)
\(390\) 16.4439 + 4.98108i 0.832667 + 0.252227i
\(391\) 9.05333 + 3.29514i 0.457846 + 0.166642i
\(392\) 2.84743 + 1.03638i 0.143817 + 0.0523450i
\(393\) 7.78566 + 33.3312i 0.392734 + 1.68134i
\(394\) 8.23449 46.7001i 0.414847 2.35272i
\(395\) 4.20650 + 7.28587i 0.211652 + 0.366592i
\(396\) −15.3187 + 34.8892i −0.769793 + 1.75325i
\(397\) 9.64988 16.7141i 0.484314 0.838856i −0.515524 0.856875i \(-0.672403\pi\)
0.999838 + 0.0180191i \(0.00573598\pi\)
\(398\) −0.0825585 0.0692748i −0.00413828 0.00347243i
\(399\) −0.608835 + 5.06649i −0.0304799 + 0.253642i
\(400\) −0.152497 0.864853i −0.00762485 0.0432426i
\(401\) −13.9860 + 11.7357i −0.698429 + 0.586051i −0.921326 0.388791i \(-0.872893\pi\)
0.222898 + 0.974842i \(0.428448\pi\)
\(402\) −21.1219 + 41.7196i −1.05347 + 2.08079i
\(403\) 11.5033 4.18684i 0.573018 0.208561i
\(404\) −51.6239 −2.56838
\(405\) −14.2163 1.84872i −0.706413 0.0918635i
\(406\) −16.6171 −0.824692
\(407\) 35.1515 12.7941i 1.74240 0.634180i
\(408\) 7.00022 13.8267i 0.346563 0.684523i
\(409\) 4.44586 3.73052i 0.219834 0.184462i −0.526219 0.850349i \(-0.676391\pi\)
0.746053 + 0.665886i \(0.231946\pi\)
\(410\) −3.33558 18.9170i −0.164732 0.934244i
\(411\) 1.11710 9.29606i 0.0551024 0.458541i
\(412\) −15.0126 12.5971i −0.739619 0.620614i
\(413\) 2.94875 5.10738i 0.145098 0.251318i
\(414\) 22.4287 2.47431i 1.10231 0.121606i
\(415\) 1.65590 + 2.86811i 0.0812851 + 0.140790i
\(416\) 2.45726 13.9358i 0.120477 0.683259i
\(417\) −3.83911 16.4356i −0.188002 0.804855i
\(418\) −24.4577 8.90187i −1.19626 0.435405i
\(419\) −1.66720 0.606810i −0.0814479 0.0296446i 0.300975 0.953632i \(-0.402688\pi\)
−0.382423 + 0.923987i \(0.624910\pi\)
\(420\) −8.75169 2.65101i −0.427039 0.129356i
\(421\) 3.34211 18.9540i 0.162884 0.923763i −0.788335 0.615247i \(-0.789056\pi\)
0.951219 0.308516i \(-0.0998324\pi\)
\(422\) −5.90530 10.2283i −0.287466 0.497905i
\(423\) 1.09435 16.9015i 0.0532091 0.821781i
\(424\) −6.55998 + 11.3622i −0.318581 + 0.551798i
\(425\) −5.57069 4.67436i −0.270218 0.226740i
\(426\) 21.0438 8.99665i 1.01958 0.435889i
\(427\) 1.98309 + 11.2466i 0.0959683 + 0.544263i
\(428\) 11.7527 9.86171i 0.568089 0.476684i
\(429\) −9.80442 15.0126i −0.473362 0.724817i
\(430\) 43.0576 15.6717i 2.07642 0.755756i
\(431\) −4.65720 −0.224330 −0.112165 0.993690i \(-0.535778\pi\)
−0.112165 + 0.993690i \(0.535778\pi\)
\(432\) 0.0180120 1.85284i 0.000866602 0.0891450i
\(433\) 27.4056 1.31703 0.658515 0.752567i \(-0.271185\pi\)
0.658515 + 0.752567i \(0.271185\pi\)
\(434\) −9.81650 + 3.57291i −0.471207 + 0.171505i
\(435\) 19.8571 1.09200i 0.952076 0.0523572i
\(436\) 2.58999 2.17326i 0.124038 0.104080i
\(437\) 1.66921 + 9.46656i 0.0798491 + 0.452847i
\(438\) −40.9797 30.7152i −1.95809 1.46763i
\(439\) −11.8869 9.97427i −0.567329 0.476046i 0.313429 0.949612i \(-0.398522\pi\)
−0.880758 + 0.473566i \(0.842967\pi\)
\(440\) 9.24832 16.0186i 0.440896 0.763655i
\(441\) 2.07282 2.16873i 0.0987059 0.103273i
\(442\) 9.19459 + 15.9255i 0.437342 + 0.757499i
\(443\) −0.276194 + 1.56638i −0.0131224 + 0.0744207i −0.990666 0.136314i \(-0.956474\pi\)
0.977543 + 0.210735i \(0.0675856\pi\)
\(444\) −40.8854 + 38.3237i −1.94033 + 1.81876i
\(445\) −19.5034 7.09865i −0.924548 0.336508i
\(446\) 41.7040 + 15.1790i 1.97474 + 0.718747i
\(447\) 15.1183 14.1711i 0.715073 0.670270i
\(448\) −2.22079 + 12.5947i −0.104922 + 0.595044i
\(449\) −12.4255 21.5216i −0.586395 1.01567i −0.994700 0.102820i \(-0.967213\pi\)
0.408305 0.912845i \(-0.366120\pi\)
\(450\) −16.5470 4.03515i −0.780033 0.190219i
\(451\) −10.0230 + 17.3604i −0.471966 + 0.817468i
\(452\) 47.9388 + 40.2254i 2.25485 + 1.89204i
\(453\) 2.64789 + 1.98465i 0.124409 + 0.0932470i
\(454\) 0.0893029 + 0.506462i 0.00419119 + 0.0237694i
\(455\) 3.29634 2.76595i 0.154535 0.129670i
\(456\) 15.4394 0.849055i 0.723018 0.0397607i
\(457\) −10.1863 + 3.70752i −0.476496 + 0.173430i −0.569093 0.822273i \(-0.692705\pi\)
0.0925969 + 0.995704i \(0.470483\pi\)
\(458\) 34.1535 1.59589
\(459\) −9.74787 11.8491i −0.454992 0.553068i
\(460\) −17.2256 −0.803149
\(461\) −19.7711 + 7.19611i −0.920834 + 0.335156i −0.758570 0.651591i \(-0.774102\pi\)
−0.162264 + 0.986747i \(0.551880\pi\)
\(462\) 8.36677 + 12.8113i 0.389257 + 0.596035i
\(463\) −25.1195 + 21.0777i −1.16740 + 0.979565i −0.999980 0.00632015i \(-0.997988\pi\)
−0.167421 + 0.985886i \(0.553544\pi\)
\(464\) 0.446348 + 2.53137i 0.0207212 + 0.117516i
\(465\) 11.4957 4.91466i 0.533103 0.227912i
\(466\) 23.4660 + 19.6903i 1.08704 + 0.912137i
\(467\) −1.14453 + 1.98239i −0.0529627 + 0.0917341i −0.891291 0.453431i \(-0.850200\pi\)
0.838329 + 0.545165i \(0.183533\pi\)
\(468\) 22.3459 + 14.9055i 1.03294 + 0.689008i
\(469\) 5.85560 + 10.1422i 0.270387 + 0.468324i
\(470\) −3.59996 + 20.4164i −0.166054 + 0.941736i
\(471\) 24.4888 + 7.41801i 1.12838 + 0.341804i
\(472\) −16.7927 6.11204i −0.772946 0.281329i
\(473\) −44.9343 16.3547i −2.06608 0.751991i
\(474\) 4.79693 + 20.5361i 0.220330 + 0.943256i
\(475\) 1.25992 7.14537i 0.0578091 0.327852i
\(476\) −4.89351 8.47581i −0.224294 0.388488i
\(477\) 7.68901 + 10.4691i 0.352056 + 0.479347i
\(478\) −2.77438 + 4.80536i −0.126897 + 0.219792i
\(479\) 29.6937 + 24.9160i 1.35674 + 1.13844i 0.976974 + 0.213357i \(0.0684398\pi\)
0.379765 + 0.925083i \(0.376005\pi\)
\(480\) 1.72430 14.3490i 0.0787032 0.654937i
\(481\) −4.57910 25.9694i −0.208789 1.18410i
\(482\) −33.8533 + 28.4063i −1.54198 + 1.29387i
\(483\) 2.55261 5.04186i 0.116148 0.229413i
\(484\) −11.4780 + 4.17765i −0.521727 + 0.189893i
\(485\) 22.4743 1.02051
\(486\) −32.7622 14.7663i −1.48612 0.669813i
\(487\) 3.98522 0.180588 0.0902939 0.995915i \(-0.471219\pi\)
0.0902939 + 0.995915i \(0.471219\pi\)
\(488\) 32.5180 11.8356i 1.47202 0.535772i
\(489\) 1.51617 2.99472i 0.0685638 0.135426i
\(490\) −2.81298 + 2.36037i −0.127078 + 0.106631i
\(491\) 4.94898 + 28.0671i 0.223344 + 1.26665i 0.865825 + 0.500347i \(0.166794\pi\)
−0.642480 + 0.766302i \(0.722095\pi\)
\(492\) 3.58292 29.8156i 0.161530 1.34419i
\(493\) 16.3050 + 13.6815i 0.734342 + 0.616186i
\(494\) −9.17383 + 15.8895i −0.412750 + 0.714904i
\(495\) −10.8400 14.7594i −0.487224 0.663387i
\(496\) 0.807960 + 1.39943i 0.0362785 + 0.0628361i
\(497\) 0.995306 5.64466i 0.0446456 0.253198i
\(498\) 1.88833 + 8.08413i 0.0846180 + 0.362258i
\(499\) −7.87941 2.86787i −0.352731 0.128384i 0.159577 0.987186i \(-0.448987\pi\)
−0.512308 + 0.858802i \(0.671209\pi\)
\(500\) 37.0234 + 13.4754i 1.65574 + 0.602639i
\(501\) −7.69515 2.33097i −0.343794 0.104140i
\(502\) 5.78332 32.7988i 0.258122 1.46388i
\(503\) 5.20742 + 9.01952i 0.232187 + 0.402160i 0.958452 0.285255i \(-0.0920784\pi\)
−0.726264 + 0.687416i \(0.758745\pi\)
\(504\) −7.56247 5.04443i −0.336859 0.224697i
\(505\) 12.4050 21.4861i 0.552015 0.956118i
\(506\) 22.0803 + 18.5275i 0.981588 + 0.823650i
\(507\) 9.08158 3.88256i 0.403327 0.172430i
\(508\) 5.78530 + 32.8101i 0.256681 + 1.45571i
\(509\) −18.2087 + 15.2789i −0.807087 + 0.677226i −0.949911 0.312522i \(-0.898826\pi\)
0.142824 + 0.989748i \(0.454382\pi\)
\(510\) 10.2694 + 15.7245i 0.454735 + 0.696295i
\(511\) −12.0525 + 4.38674i −0.533170 + 0.194058i
\(512\) 4.02905 0.178060
\(513\) 5.37552 14.3340i 0.237335 0.632862i
\(514\) 46.6964 2.05969
\(515\) 8.85043 3.22129i 0.389996 0.141947i
\(516\) 71.5261 3.93341i 3.14876 0.173159i
\(517\) 16.5733 13.9066i 0.728892 0.611613i
\(518\) 3.90765 + 22.1614i 0.171692 + 0.973716i
\(519\) 13.6607 + 10.2390i 0.599637 + 0.449440i
\(520\) −9.98845 8.38131i −0.438023 0.367545i
\(521\) −11.5669 + 20.0345i −0.506756 + 0.877728i 0.493213 + 0.869909i \(0.335822\pi\)
−0.999969 + 0.00781921i \(0.997511\pi\)
\(522\) 48.4320 + 11.8106i 2.11981 + 0.516936i
\(523\) −5.09751 8.82915i −0.222899 0.386072i 0.732788 0.680457i \(-0.238219\pi\)
−0.955687 + 0.294385i \(0.904885\pi\)
\(524\) 11.3738 64.5040i 0.496867 2.81787i
\(525\) −3.11211 + 2.91712i −0.135824 + 0.127314i
\(526\) −58.9359 21.4509i −2.56973 0.935304i
\(527\) 12.5739 + 4.57652i 0.547727 + 0.199356i
\(528\) 1.72687 1.61868i 0.0751525 0.0704438i
\(529\) −2.14536 + 12.1669i −0.0932763 + 0.528996i
\(530\) −7.94967 13.7692i −0.345312 0.598097i
\(531\) −12.2245 + 12.7901i −0.530497 + 0.555043i
\(532\) 4.88246 8.45667i 0.211682 0.366643i
\(533\) 10.8251 + 9.08338i 0.468889 + 0.393445i
\(534\) −41.6311 31.2034i −1.80155 1.35030i
\(535\) 1.28036 + 7.26126i 0.0553546 + 0.313932i
\(536\) 27.1846 22.8106i 1.17419 0.985266i
\(537\) −2.57655 + 0.141691i −0.111186 + 0.00611444i
\(538\) −13.4081 + 4.88014i −0.578063 + 0.210398i
\(539\) 3.83214 0.165062
\(540\) 23.6234 + 13.9469i 1.01659 + 0.600178i
\(541\) −33.0722 −1.42189 −0.710944 0.703249i \(-0.751732\pi\)
−0.710944 + 0.703249i \(0.751732\pi\)
\(542\) −30.9329 + 11.2587i −1.32868 + 0.483601i
\(543\) −2.45948 3.76599i −0.105547 0.161614i
\(544\) 11.8491 9.94253i 0.508024 0.426283i
\(545\) 0.282157 + 1.60019i 0.0120863 + 0.0685447i
\(546\) 9.91815 4.24021i 0.424458 0.181464i
\(547\) 25.4563 + 21.3603i 1.08843 + 0.913302i 0.996593 0.0824722i \(-0.0262816\pi\)
0.0918374 + 0.995774i \(0.470726\pi\)
\(548\) −8.95841 + 15.5164i −0.382684 + 0.662829i
\(549\) 2.21368 34.1888i 0.0944774 1.45914i
\(550\) −10.8781 18.8414i −0.463844 0.803401i
\(551\) −3.68770 + 20.9140i −0.157101 + 0.890967i
\(552\) −16.3887 4.96438i −0.697550 0.211298i
\(553\) 4.96308 + 1.80641i 0.211052 + 0.0768166i
\(554\) −28.9650 10.5424i −1.23060 0.447903i
\(555\) −6.12592 26.2257i −0.260031 1.11322i
\(556\) −5.60842 + 31.8069i −0.237850 + 1.34891i
\(557\) −16.9906 29.4285i −0.719914 1.24693i −0.961033 0.276432i \(-0.910848\pi\)
0.241120 0.970495i \(-0.422485\pi\)
\(558\) 31.1505 3.43649i 1.31871 0.145478i
\(559\) −16.8544 + 29.1927i −0.712865 + 1.23472i
\(560\) 0.435127 + 0.365115i 0.0183875 + 0.0154289i
\(561\) 2.33842 19.4594i 0.0987282 0.821578i
\(562\) −4.55075 25.8086i −0.191962 1.08867i
\(563\) −26.2000 + 21.9844i −1.10420 + 0.926531i −0.997700 0.0677817i \(-0.978408\pi\)
−0.106497 + 0.994313i \(0.533963\pi\)
\(564\) −14.6395 + 28.9156i −0.616434 + 1.21757i
\(565\) −28.2615 + 10.2863i −1.18897 + 0.432749i
\(566\) −3.21316 −0.135059
\(567\) −7.58286 + 4.84771i −0.318450 + 0.203585i
\(568\) −17.3681 −0.728750
\(569\) −35.4776 + 12.9128i −1.48730 + 0.541333i −0.952737 0.303796i \(-0.901746\pi\)
−0.534562 + 0.845129i \(0.679524\pi\)
\(570\) −8.46402 + 16.7180i −0.354519 + 0.700238i
\(571\) 16.2092 13.6011i 0.678332 0.569188i −0.237186 0.971464i \(-0.576225\pi\)
0.915518 + 0.402276i \(0.131781\pi\)
\(572\) 5.95817 + 33.7905i 0.249124 + 1.41285i
\(573\) 1.83561 15.2753i 0.0766839 0.638133i
\(574\) −9.23783 7.75146i −0.385579 0.323540i
\(575\) −4.01758 + 6.95865i −0.167545 + 0.290196i
\(576\) 15.4244 35.1300i 0.642683 1.46375i
\(577\) 0.920061 + 1.59359i 0.0383026 + 0.0663421i 0.884541 0.466462i \(-0.154472\pi\)
−0.846239 + 0.532804i \(0.821138\pi\)
\(578\) 3.31485 18.7995i 0.137880 0.781954i
\(579\) −0.917120 3.92628i −0.0381142 0.163171i
\(580\) −35.7607 13.0158i −1.48488 0.540453i
\(581\) 1.95374 + 0.711102i 0.0810546 + 0.0295015i
\(582\) 53.9172 + 16.3323i 2.23494 + 0.676996i
\(583\) −2.88123 + 16.3402i −0.119328 + 0.676744i
\(584\) 19.4324 + 33.6579i 0.804119 + 1.39277i
\(585\) −11.5734 + 5.71875i −0.478500 + 0.236441i
\(586\) 10.5144 18.2116i 0.434348 0.752313i
\(587\) −14.1215 11.8493i −0.582855 0.489073i 0.303028 0.952982i \(-0.402002\pi\)
−0.885883 + 0.463908i \(0.846447\pi\)
\(588\) −5.27860 + 2.25671i −0.217686 + 0.0930651i
\(589\) 2.31831 + 13.1478i 0.0955245 + 0.541746i
\(590\) 16.5896 13.9203i 0.682982 0.573090i
\(591\) 19.4817 + 29.8305i 0.801369 + 1.22706i
\(592\) 3.27100 1.19055i 0.134437 0.0489311i
\(593\) 3.38680 0.139079 0.0695396 0.997579i \(-0.477847\pi\)
0.0695396 + 0.997579i \(0.477847\pi\)
\(594\) −15.2801 43.2863i −0.626949 1.77606i
\(595\) 4.70356 0.192827
\(596\) −37.2613 + 13.5620i −1.52628 + 0.555521i
\(597\) 0.0808508 0.00444620i 0.00330900 0.000181971i
\(598\) 15.5652 13.0608i 0.636510 0.534095i
\(599\) −0.500962 2.84109i −0.0204687 0.116084i 0.972861 0.231388i \(-0.0743268\pi\)
−0.993330 + 0.115304i \(0.963216\pi\)
\(600\) 10.3426 + 7.75201i 0.422236 + 0.316474i
\(601\) −24.0479 20.1786i −0.980934 0.823101i 0.00329598 0.999995i \(-0.498951\pi\)
−0.984230 + 0.176893i \(0.943395\pi\)
\(602\) 14.3830 24.9121i 0.586207 1.01534i
\(603\) −9.85811 33.7222i −0.401453 1.37328i
\(604\) −3.16613 5.48390i −0.128828 0.223137i
\(605\) 1.01936 5.78106i 0.0414428 0.235034i
\(606\) 45.3745 42.5316i 1.84321 1.72773i
\(607\) 23.5636 + 8.57644i 0.956416 + 0.348107i 0.772628 0.634859i \(-0.218942\pi\)
0.183788 + 0.982966i \(0.441164\pi\)
\(608\) 14.5022 + 5.27836i 0.588141 + 0.214066i
\(609\) 9.10894 8.53822i 0.369113 0.345986i
\(610\) −7.28208 + 41.2987i −0.294843 + 1.67214i
\(611\) −7.62563 13.2080i −0.308500 0.534338i
\(612\) 8.23839 + 28.1816i 0.333017 + 1.13917i
\(613\) −17.4972 + 30.3060i −0.706704 + 1.22405i 0.259370 + 0.965778i \(0.416485\pi\)
−0.966073 + 0.258268i \(0.916848\pi\)
\(614\) −43.0873 36.1546i −1.73886 1.45908i
\(615\) 11.5484 + 8.65579i 0.465678 + 0.349035i
\(616\) −2.01641 11.4356i −0.0812433 0.460754i
\(617\) −1.54159 + 1.29355i −0.0620620 + 0.0520762i −0.673291 0.739378i \(-0.735120\pi\)
0.611229 + 0.791454i \(0.290675\pi\)
\(618\) 23.5736 1.29638i 0.948271 0.0521480i
\(619\) −15.5482 + 5.65910i −0.624937 + 0.227458i −0.635026 0.772491i \(-0.719011\pi\)
0.0100893 + 0.999949i \(0.496788\pi\)
\(620\) −23.9241 −0.960817
\(621\) −11.0233 + 12.8807i −0.442350 + 0.516884i
\(622\) 62.9551 2.52427
\(623\) −12.2440 + 4.45646i −0.490547 + 0.178544i
\(624\) −0.912343 1.39699i −0.0365229 0.0559243i
\(625\) −5.07237 + 4.25622i −0.202895 + 0.170249i
\(626\) −11.2198 63.6307i −0.448434 2.54320i
\(627\) 17.9809 7.68718i 0.718087 0.306997i
\(628\) −37.5088 31.4736i −1.49676 1.25593i
\(629\) 14.4121 24.9626i 0.574650 0.995323i
\(630\) 9.87634 4.88019i 0.393483 0.194432i
\(631\) 9.69068 + 16.7848i 0.385780 + 0.668191i 0.991877 0.127200i \(-0.0405990\pi\)
−0.606097 + 0.795391i \(0.707266\pi\)
\(632\) 2.77909 15.7610i 0.110546 0.626939i
\(633\) 8.49261 + 2.57253i 0.337551 + 0.102249i
\(634\) 36.5826 + 13.3150i 1.45288 + 0.528806i
\(635\) −15.0459 5.47625i −0.597077 0.217318i
\(636\) −5.65384 24.2047i −0.224189 0.959778i
\(637\) 0.469097 2.66038i 0.0185863 0.105408i
\(638\) 31.8395 + 55.1476i 1.26054 + 2.18331i
\(639\) −6.91285 + 15.7445i −0.273468 + 0.622841i
\(640\) −15.1372 + 26.2184i −0.598351 + 1.03637i
\(641\) 7.36943 + 6.18369i 0.291075 + 0.244241i 0.776618 0.629972i \(-0.216934\pi\)
−0.485543 + 0.874213i \(0.661378\pi\)
\(642\) −2.20518 + 18.3506i −0.0870315 + 0.724242i
\(643\) 7.72161 + 43.7914i 0.304511 + 1.72696i 0.625800 + 0.779984i \(0.284773\pi\)
−0.321289 + 0.946981i \(0.604116\pi\)
\(644\) −8.28407 + 6.95116i −0.326438 + 0.273914i
\(645\) −15.5503 + 30.7147i −0.612293 + 1.20939i
\(646\) −18.8458 + 6.85933i −0.741480 + 0.269877i
\(647\) 4.30918 0.169411 0.0847056 0.996406i \(-0.473005\pi\)
0.0847056 + 0.996406i \(0.473005\pi\)
\(648\) 18.4562 + 20.0775i 0.725027 + 0.788718i
\(649\) −22.6000 −0.887128
\(650\) −14.4119 + 5.24549i −0.565280 + 0.205745i
\(651\) 3.54524 7.00249i 0.138949 0.274449i
\(652\) −4.92050 + 4.12879i −0.192701 + 0.161696i
\(653\) 4.57613 + 25.9525i 0.179078 + 1.01560i 0.933331 + 0.359017i \(0.116888\pi\)
−0.754253 + 0.656584i \(0.772001\pi\)
\(654\) −0.485964 + 4.04400i −0.0190027 + 0.158133i
\(655\) 24.1138 + 20.2339i 0.942203 + 0.790602i
\(656\) −0.932685 + 1.61546i −0.0364152 + 0.0630730i
\(657\) 38.2459 4.21924i 1.49211 0.164608i
\(658\) 6.50747 + 11.2713i 0.253687 + 0.439399i
\(659\) −0.959884 + 5.44377i −0.0373918 + 0.212059i −0.997779 0.0666092i \(-0.978782\pi\)
0.960387 + 0.278668i \(0.0898930\pi\)
\(660\) 7.97084 + 34.1240i 0.310265 + 1.32827i
\(661\) −3.21766 1.17113i −0.125153 0.0455518i 0.278685 0.960383i \(-0.410102\pi\)
−0.403837 + 0.914831i \(0.632324\pi\)
\(662\) 24.0534 + 8.75473i 0.934862 + 0.340262i
\(663\) −13.2231 4.00545i −0.513541 0.155559i
\(664\) 1.09400 6.20438i 0.0424554 0.240777i
\(665\) 2.34647 + 4.06420i 0.0909922 + 0.157603i
\(666\) 4.36203 67.3687i 0.169025 2.61049i
\(667\) 11.7592 20.3675i 0.455317 0.788632i
\(668\) 11.7864 + 9.89000i 0.456031 + 0.382656i
\(669\) −30.6601 + 13.1078i −1.18539 + 0.506776i
\(670\) 7.46768 + 42.3513i 0.288501 + 1.63617i
\(671\) 33.5248 28.1307i 1.29421 1.08597i
\(672\) −4.96108 7.59646i −0.191378 0.293040i
\(673\) 12.4033 4.51442i 0.478110 0.174018i −0.0917124 0.995786i \(-0.529234\pi\)
0.569823 + 0.821768i \(0.307012\pi\)
\(674\) −41.0116 −1.57971
\(675\) 11.1439 6.29028i 0.428928 0.242113i
\(676\) −18.8999 −0.726921
\(677\) −17.6134 + 6.41076i −0.676939 + 0.246386i −0.657533 0.753426i \(-0.728400\pi\)
−0.0194064 + 0.999812i \(0.506178\pi\)
\(678\) −75.2761 + 4.13963i −2.89096 + 0.158982i
\(679\) 10.8082 9.06920i 0.414783 0.348044i
\(680\) −2.47493 14.0360i −0.0949094 0.538258i
\(681\) −0.309184 0.231740i −0.0118480 0.00888030i
\(682\) 30.6666 + 25.7324i 1.17429 + 0.985343i
\(683\) 4.86847 8.43243i 0.186287 0.322658i −0.757723 0.652577i \(-0.773688\pi\)
0.944009 + 0.329919i \(0.107021\pi\)
\(684\) −20.2410 + 21.1775i −0.773933 + 0.809743i
\(685\) −4.30533 7.45705i −0.164498 0.284919i
\(686\) −0.400312 + 2.27028i −0.0152840 + 0.0866798i
\(687\) −18.7218 + 17.5488i −0.714282 + 0.669529i
\(688\) −4.18132 1.52188i −0.159411 0.0580210i
\(689\) 10.9912 + 4.00046i 0.418730 + 0.152405i
\(690\) 15.1403 14.1917i 0.576383 0.540270i
\(691\) −7.33662 + 41.6080i −0.279098 + 1.58284i 0.446538 + 0.894765i \(0.352657\pi\)
−0.725636 + 0.688079i \(0.758454\pi\)
\(692\) −16.3343 28.2919i −0.620937 1.07549i
\(693\) −11.1691 2.72370i −0.424279 0.103465i
\(694\) 31.0816 53.8349i 1.17984 2.04355i
\(695\) −11.8905 9.97731i −0.451032 0.378461i
\(696\) −30.2721 22.6896i −1.14746 0.860047i
\(697\) 2.68225 + 15.2118i 0.101597 + 0.576188i
\(698\) 11.4353 9.59536i 0.432833 0.363190i
\(699\) −22.9806 + 1.26377i −0.869208 + 0.0478001i
\(700\) 7.67023 2.79174i 0.289907 0.105518i
\(701\) −5.00977 −0.189217 −0.0946083 0.995515i \(-0.530160\pi\)
−0.0946083 + 0.995515i \(0.530160\pi\)
\(702\) −31.9211 + 5.30913i −1.20478 + 0.200380i
\(703\) 28.7592 1.08467
\(704\) 46.0536 16.7621i 1.73571 0.631747i
\(705\) −8.51700 13.0413i −0.320769 0.491164i
\(706\) 48.5641 40.7501i 1.82773 1.53365i
\(707\) −2.70465 15.3389i −0.101719 0.576877i
\(708\) 31.1305 13.3089i 1.16996 0.500180i
\(709\) 1.92962 + 1.61914i 0.0724683 + 0.0608082i 0.678302 0.734783i \(-0.262716\pi\)
−0.605834 + 0.795591i \(0.707160\pi\)
\(710\) 10.5237 18.2276i 0.394949 0.684071i
\(711\) −13.1814 8.79247i −0.494343 0.329743i
\(712\) 19.7413 + 34.1929i 0.739836 + 1.28143i
\(713\) 2.56740 14.5604i 0.0961498 0.545293i
\(714\) 11.2841 + 3.41812i 0.422298 + 0.127920i
\(715\) −15.4955 5.63989i −0.579497 0.210920i
\(716\) 4.64012 + 1.68886i 0.173409 + 0.0631158i
\(717\) −0.948278 4.05968i −0.0354141 0.151611i
\(718\) 4.72224 26.7812i 0.176233 0.999465i
\(719\) 3.02944 + 5.24715i 0.112979 + 0.195686i 0.916970 0.398956i \(-0.130627\pi\)
−0.803991 + 0.594641i \(0.797294\pi\)
\(720\) −1.00871 1.37343i −0.0375925 0.0511846i
\(721\) 2.95640 5.12064i 0.110102 0.190703i
\(722\) 18.2248 + 15.2924i 0.678256 + 0.569124i
\(723\) 3.96149 32.9660i 0.147329 1.22602i
\(724\) 1.49464 + 8.47650i 0.0555477 + 0.315027i
\(725\) −13.5986 + 11.4106i −0.505038 + 0.423778i
\(726\) 6.64665 13.1283i 0.246680 0.487238i
\(727\) −32.7832 + 11.9321i −1.21586 + 0.442537i −0.868733 0.495281i \(-0.835065\pi\)
−0.347128 + 0.937818i \(0.612843\pi\)
\(728\) −8.18576 −0.303385
\(729\) 25.5464 8.73956i 0.946164 0.323687i
\(730\) −47.0981 −1.74318
\(731\) −34.6241 + 12.6021i −1.28062 + 0.466107i
\(732\) −29.6131 + 58.4912i −1.09453 + 2.16190i
\(733\) 31.8570 26.7312i 1.17667 0.987341i 0.176672 0.984270i \(-0.443467\pi\)
0.999995 0.00307086i \(-0.000977488\pi\)
\(734\) −3.83248 21.7351i −0.141459 0.802256i
\(735\) 0.329174 2.73925i 0.0121418 0.101039i
\(736\) −13.0925 10.9859i −0.482596 0.404946i
\(737\) 22.4395 38.8663i 0.826569 1.43166i
\(738\) 21.4151 + 29.1581i 0.788301 + 1.07332i
\(739\) −12.6092 21.8397i −0.463835 0.803387i 0.535313 0.844654i \(-0.320194\pi\)
−0.999148 + 0.0412674i \(0.986860\pi\)
\(740\) −8.94914 + 50.7531i −0.328977 + 1.86572i
\(741\) −3.13560 13.4238i −0.115189 0.493137i
\(742\) −9.37951 3.41386i −0.344333 0.125327i
\(743\) −11.0784 4.03221i −0.406427 0.147927i 0.130713 0.991420i \(-0.458273\pi\)
−0.537141 + 0.843493i \(0.680496\pi\)
\(744\) −22.7618 6.89488i −0.834488 0.252779i
\(745\) 3.30916 18.7672i 0.121238 0.687576i
\(746\) 38.6368 + 66.9209i 1.41459 + 2.45015i
\(747\) −5.18892 3.46119i −0.189853 0.126638i
\(748\) −18.7526 + 32.4805i −0.685664 + 1.18760i
\(749\) 3.54592 + 2.97538i 0.129565 + 0.108718i
\(750\) −43.6435 + 18.6585i −1.59364 + 0.681311i
\(751\) −2.99774 17.0010i −0.109389 0.620376i −0.989376 0.145379i \(-0.953560\pi\)
0.879987 0.474998i \(-0.157551\pi\)
\(752\) 1.54221 1.29407i 0.0562388 0.0471899i
\(753\) 13.6825 + 20.9508i 0.498619 + 0.763491i
\(754\) 42.1826 15.3532i 1.53620 0.559130i
\(755\) 3.04323 0.110754
\(756\) 16.9889 2.82561i 0.617881 0.102766i
\(757\) 33.0677 1.20187 0.600933 0.799299i \(-0.294796\pi\)
0.600933 + 0.799299i \(0.294796\pi\)
\(758\) −41.4764 + 15.0962i −1.50649 + 0.548318i
\(759\) −21.6235 + 1.18914i −0.784885 + 0.0431629i
\(760\) 10.8934 9.14069i 0.395147 0.331568i
\(761\) −1.83520 10.4080i −0.0665260 0.377288i −0.999834 0.0182114i \(-0.994203\pi\)
0.933308 0.359077i \(-0.116908\pi\)
\(762\) −32.1163 24.0718i −1.16345 0.872031i
\(763\) 0.781429 + 0.655697i 0.0282896 + 0.0237378i
\(764\) −14.7204 + 25.4965i −0.532566 + 0.922432i
\(765\) −13.7089 3.34306i −0.495648 0.120869i
\(766\) 7.15946 + 12.4005i 0.258682 + 0.448050i
\(767\) −2.76650 + 15.6896i −0.0998925 + 0.566518i
\(768\) −23.0456 + 21.6016i −0.831585 + 0.779482i
\(769\) 21.8814 + 7.96419i 0.789065 + 0.287196i 0.704947 0.709260i \(-0.250971\pi\)
0.0841175 + 0.996456i \(0.473193\pi\)
\(770\) 13.2233 + 4.81289i 0.476535 + 0.173445i
\(771\) −25.5974 + 23.9936i −0.921869 + 0.864110i
\(772\) −1.33979 + 7.59832i −0.0482201 + 0.273470i
\(773\) 2.86729 + 4.96630i 0.103129 + 0.178625i 0.912972 0.408021i \(-0.133781\pi\)
−0.809843 + 0.586647i \(0.800448\pi\)
\(774\) −59.6268 + 62.3857i −2.14324 + 2.24241i
\(775\) −5.57989 + 9.66466i −0.200436 + 0.347165i
\(776\) −32.7508 27.4812i −1.17569 0.986517i
\(777\) −13.5291 10.1403i −0.485352 0.363782i
\(778\) −4.15774 23.5797i −0.149062 0.845373i
\(779\) −11.8060 + 9.90637i −0.422992 + 0.354933i
\(780\) 24.6656 1.35643i 0.883170 0.0485679i
\(781\) −20.6402 + 7.51241i −0.738563 + 0.268815i
\(782\) 22.2101 0.794232
\(783\) −32.6174 + 18.4112i −1.16565 + 0.657963i
\(784\) 0.356597 0.0127356
\(785\) 22.1126 8.04834i 0.789234 0.287258i
\(786\) 43.1462 + 66.0660i 1.53898 + 2.35649i
\(787\) −37.3803 + 31.3658i −1.33246 + 1.11807i −0.348967 + 0.937135i \(0.613467\pi\)
−0.983495 + 0.180934i \(0.942088\pi\)
\(788\) −11.8391 67.1426i −0.421749 2.39186i
\(789\) 43.3287 18.5239i 1.54254 0.659467i
\(790\) 14.8571 + 12.4666i 0.528591 + 0.443540i
\(791\) −9.44047 + 16.3514i −0.335665 + 0.581388i
\(792\) −2.25087 + 34.7633i −0.0799812 + 1.23526i
\(793\) −15.4253 26.7174i −0.547769 0.948764i
\(794\) 7.72593 43.8159i 0.274183 1.55497i
\(795\) 11.4327 + 3.46313i 0.405476 + 0.122824i
\(796\) −0.145604 0.0529956i −0.00516081 0.00187838i
\(797\) −32.0158 11.6528i −1.13406 0.412763i −0.294293 0.955715i \(-0.595084\pi\)
−0.839763 + 0.542953i \(0.817306\pi\)
\(798\) 2.67582 + 11.4555i 0.0947230 + 0.405519i
\(799\) 2.89484 16.4175i 0.102412 0.580809i
\(800\) 6.45017 + 11.1720i 0.228048 + 0.394991i
\(801\) 38.8538 4.28631i 1.37283 0.151449i
\(802\) −21.0445 + 36.4501i −0.743107 + 1.28710i
\(803\) 37.6518 + 31.5936i 1.32870 + 1.11491i
\(804\) −8.02141 + 66.7511i −0.282893 + 2.35413i
\(805\) −0.902477 5.11820i −0.0318081 0.180393i
\(806\) 21.6181 18.1397i 0.761465 0.638945i
\(807\) 4.84234 9.56449i 0.170459 0.336686i
\(808\) −44.3500 + 16.1421i −1.56023 + 0.567877i
\(809\) −5.21557 −0.183370 −0.0916849 0.995788i \(-0.529225\pi\)
−0.0916849 + 0.995788i \(0.529225\pi\)
\(810\) −32.2541 + 7.20415i −1.13329 + 0.253128i
\(811\) −4.97523 −0.174704 −0.0873520 0.996178i \(-0.527840\pi\)
−0.0873520 + 0.996178i \(0.527840\pi\)
\(812\) −22.4502 + 8.17122i −0.787849 + 0.286754i
\(813\) 11.1715 22.0657i 0.391800 0.773876i
\(814\) 66.0603 55.4312i 2.31541 1.94286i
\(815\) −0.536045 3.04006i −0.0187768 0.106489i
\(816\) 0.217600 1.81078i 0.00761753 0.0633901i
\(817\) −28.1621 23.6308i −0.985266 0.826736i
\(818\) 6.68961 11.5867i 0.233897 0.405121i
\(819\) −3.25809 + 7.42051i −0.113847 + 0.259294i
\(820\) −13.8087 23.9173i −0.482219 0.835228i
\(821\) −0.182488 + 1.03494i −0.00636886 + 0.0361196i −0.987827 0.155559i \(-0.950282\pi\)
0.981458 + 0.191679i \(0.0613932\pi\)
\(822\) −4.90963 21.0186i −0.171243 0.733110i
\(823\) −2.81383 1.02415i −0.0980840 0.0356996i 0.292512 0.956262i \(-0.405509\pi\)
−0.390596 + 0.920562i \(0.627731\pi\)
\(824\) −16.8363 6.12790i −0.586519 0.213476i
\(825\) 15.6442 + 4.73884i 0.544660 + 0.164985i
\(826\) 2.36084 13.3890i 0.0821441 0.465862i
\(827\) 2.08394 + 3.60949i 0.0724656 + 0.125514i 0.899981 0.435928i \(-0.143580\pi\)
−0.827516 + 0.561443i \(0.810247\pi\)
\(828\) 29.0852 14.3719i 1.01078 0.499457i
\(829\) 6.66793 11.5492i 0.231587 0.401120i −0.726688 0.686967i \(-0.758942\pi\)
0.958275 + 0.285847i \(0.0922749\pi\)
\(830\) 5.84854 + 4.90751i 0.203006 + 0.170342i
\(831\) 21.2946 9.10386i 0.738701 0.315809i
\(832\) −5.99929 34.0236i −0.207988 1.17956i
\(833\) 2.26202 1.89806i 0.0783742 0.0657638i
\(834\) −21.2754 32.5771i −0.736707 1.12805i
\(835\) −6.94849 + 2.52904i −0.240462 + 0.0875212i
\(836\) −37.4205 −1.29422
\(837\) −15.3099 + 17.8896i −0.529189 + 0.618355i
\(838\) −4.09006 −0.141289
\(839\) −14.1612 + 5.15424i −0.488897 + 0.177944i −0.574694 0.818369i \(-0.694879\pi\)
0.0857964 + 0.996313i \(0.472657\pi\)
\(840\) −8.34750 + 0.459051i −0.288016 + 0.0158388i
\(841\) 17.5868 14.7571i 0.606442 0.508866i
\(842\) −7.70458 43.6948i −0.265517 1.50582i
\(843\) 15.7556 + 11.8091i 0.542652 + 0.406729i
\(844\) −13.0079 10.9149i −0.447750 0.375707i
\(845\) 4.54157 7.86624i 0.156235 0.270607i
\(846\) −10.9555 37.4763i −0.376659 1.28846i
\(847\) −1.84264 3.19155i −0.0633139 0.109663i
\(848\) −0.268110 + 1.52053i −0.00920694 + 0.0522152i
\(849\) 1.76135 1.65099i 0.0604493 0.0566619i
\(850\) −15.7532 5.73370i −0.540331 0.196664i
\(851\) −29.9284 10.8931i −1.02593 0.373409i
\(852\) 24.0070 22.5028i 0.822465 0.770933i
\(853\) −5.63114 + 31.9358i −0.192807 + 1.09346i 0.722701 + 0.691161i \(0.242900\pi\)
−0.915508 + 0.402300i \(0.868211\pi\)
\(854\) 13.1635 + 22.7998i 0.450444 + 0.780192i
\(855\) −3.95036 13.5132i −0.135099 0.462143i
\(856\) 7.01313 12.1471i 0.239704 0.415179i
\(857\) 17.1425 + 14.3842i 0.585576 + 0.491356i 0.886773 0.462205i \(-0.152942\pi\)
−0.301197 + 0.953562i \(0.597386\pi\)
\(858\) −33.0760 24.7911i −1.12920 0.846355i
\(859\) 1.35842 + 7.70396i 0.0463486 + 0.262856i 0.999173 0.0406670i \(-0.0129483\pi\)
−0.952824 + 0.303523i \(0.901837\pi\)
\(860\) 50.4660 42.3460i 1.72088 1.44399i
\(861\) 9.04674 0.497504i 0.308312 0.0169549i
\(862\) −10.0888 + 3.67202i −0.343626 + 0.125070i
\(863\) −25.7164 −0.875397 −0.437699 0.899122i \(-0.644206\pi\)
−0.437699 + 0.899122i \(0.644206\pi\)
\(864\) 9.06032 + 25.6666i 0.308238 + 0.873197i
\(865\) 15.7003 0.533825
\(866\) 59.3682 21.6083i 2.01741 0.734279i
\(867\) 7.84248 + 12.0085i 0.266345 + 0.407830i
\(868\) −11.5055 + 9.65426i −0.390522 + 0.327687i
\(869\) −3.51461 19.9323i −0.119225 0.676158i
\(870\) 42.1550 18.0221i 1.42919 0.611007i
\(871\) −24.2353 20.3358i −0.821181 0.689053i
\(872\) 1.54551 2.67691i 0.0523376 0.0906514i
\(873\) −37.9476 + 18.7510i −1.28433 + 0.634626i
\(874\) 11.0800 + 19.1911i 0.374786 + 0.649148i
\(875\) −2.06420 + 11.7067i −0.0697827 + 0.395757i
\(876\) −70.4688 21.3460i −2.38092 0.721215i
\(877\) 24.7305 + 9.00118i 0.835091 + 0.303948i 0.723947 0.689856i \(-0.242326\pi\)
0.111144 + 0.993804i \(0.464548\pi\)
\(878\) −33.6146 12.2347i −1.13444 0.412901i
\(879\) 3.59383 + 15.3855i 0.121217 + 0.518941i
\(880\) 0.377984 2.14366i 0.0127419 0.0722626i
\(881\) 21.7861 + 37.7347i 0.733993 + 1.27131i 0.955164 + 0.296078i \(0.0956789\pi\)
−0.221171 + 0.975235i \(0.570988\pi\)
\(882\) 2.78035 6.33242i 0.0936193 0.213224i
\(883\) 20.8623 36.1345i 0.702071 1.21602i −0.265667 0.964065i \(-0.585592\pi\)
0.967738 0.251958i \(-0.0810745\pi\)
\(884\) 20.2534 + 16.9946i 0.681194 + 0.571590i
\(885\) −1.94130 + 16.1547i −0.0652561 + 0.543036i
\(886\) 0.636712 + 3.61097i 0.0213908 + 0.121313i
\(887\) 39.8062 33.4014i 1.33656 1.12151i 0.354065 0.935221i \(-0.384799\pi\)
0.982495 0.186287i \(-0.0596454\pi\)
\(888\) −23.1413 + 45.7082i −0.776570 + 1.53387i
\(889\) −9.44566 + 3.43794i −0.316797 + 0.115305i
\(890\) −47.8467 −1.60383
\(891\) 30.6175 + 15.8769i 1.02573 + 0.531896i
\(892\) 63.8076 2.13644
\(893\) 15.6300 5.68885i 0.523038 0.190370i
\(894\) 21.5772 42.6188i 0.721648 1.42539i
\(895\) −1.81791 + 1.52541i −0.0607661 + 0.0509888i
\(896\) 3.30036 + 18.7173i 0.110257 + 0.625300i
\(897\) −1.82143 + 15.1573i −0.0608159 + 0.506086i
\(898\) −43.8860 36.8247i −1.46449 1.22886i
\(899\) 16.3320 28.2878i 0.544702 0.943451i
\(900\) −24.3398 + 2.68514i −0.811327 + 0.0895047i
\(901\) 6.39260 + 11.0723i 0.212968 + 0.368872i
\(902\) −8.02467 + 45.5102i −0.267192 + 1.51532i
\(903\) 4.91609 + 21.0463i 0.163597 + 0.700376i
\(904\) 53.7621 + 19.5678i 1.78810 + 0.650815i
\(905\) −3.88711 1.41479i −0.129212 0.0470293i
\(906\) 7.30089 + 2.21154i 0.242556 + 0.0734736i
\(907\) 9.32790 52.9011i 0.309728 1.75655i −0.290643 0.956832i \(-0.593869\pi\)
0.600371 0.799722i \(-0.295020\pi\)
\(908\) 0.369697 + 0.640334i 0.0122688 + 0.0212502i
\(909\) −3.01915 + 46.6288i −0.100139 + 1.54658i
\(910\) 4.95993 8.59086i 0.164420 0.284784i
\(911\) 5.62405 + 4.71913i 0.186333 + 0.156352i 0.731182 0.682182i \(-0.238969\pi\)
−0.544850 + 0.838534i \(0.683413\pi\)
\(912\) 1.67320 0.715325i 0.0554051 0.0236868i
\(913\) −1.38354 7.84644i −0.0457885 0.259679i
\(914\) −19.1432 + 16.0630i −0.633200 + 0.531318i
\(915\) −17.2284 26.3803i −0.569553 0.872105i
\(916\) 46.1425 16.7945i 1.52459 0.554906i
\(917\) 19.7618 0.652592
\(918\) −30.4591 17.9826i −1.00530 0.593515i
\(919\) −50.0361 −1.65054 −0.825270 0.564739i \(-0.808977\pi\)
−0.825270 + 0.564739i \(0.808977\pi\)
\(920\) −14.7985 + 5.38622i −0.487893 + 0.177578i
\(921\) 42.1961 2.32047i 1.39041 0.0764622i
\(922\) −37.1559 + 31.1775i −1.22367 + 1.02678i
\(923\) 2.68874 + 15.2486i 0.0885010 + 0.501914i
\(924\) 17.6036 + 13.1942i 0.579115 + 0.434059i
\(925\) 18.4155 + 15.4525i 0.605499 + 0.508074i
\(926\) −37.7968 + 65.4660i −1.24208 + 2.15134i
\(927\) −12.2562 + 12.8233i −0.402546 + 0.421172i
\(928\) −18.8792 32.6998i −0.619741 1.07342i
\(929\) −3.14352 + 17.8278i −0.103136 + 0.584911i 0.888813 + 0.458270i \(0.151531\pi\)
−0.991949 + 0.126641i \(0.959580\pi\)
\(930\) 21.0280 19.7105i 0.689534 0.646332i
\(931\) 2.76851 + 1.00765i 0.0907341 + 0.0330245i
\(932\) 41.3859 + 15.0632i 1.35564 + 0.493413i
\(933\) −34.5099 + 32.3477i −1.12980 + 1.05902i
\(934\) −0.916342 + 5.19683i −0.0299836 + 0.170046i
\(935\) −9.01235 15.6098i −0.294735 0.510496i
\(936\) 23.8581 + 5.81804i 0.779828 + 0.190169i
\(937\) 18.4445 31.9468i 0.602556 1.04366i −0.389877 0.920867i \(-0.627482\pi\)
0.992433 0.122791i \(-0.0391843\pi\)
\(938\) 20.6816 + 17.3539i 0.675278 + 0.566626i
\(939\) 38.8452 + 29.1153i 1.26767 + 0.950142i
\(940\) 5.17580 + 29.3534i 0.168816 + 0.957404i
\(941\) 41.8978 35.1564i 1.36583 1.14607i 0.391694 0.920096i \(-0.371889\pi\)
0.974134 0.225970i \(-0.0725551\pi\)
\(942\) 58.8983 3.23898i 1.91901 0.105532i
\(943\) 16.0381 5.83740i 0.522274 0.190092i
\(944\) −2.10303 −0.0684477
\(945\) −2.90633 + 7.74984i −0.0945430 + 0.252102i
\(946\) −110.235 −3.58406
\(947\) 35.3833 12.8785i 1.14980 0.418494i 0.304358 0.952558i \(-0.401558\pi\)
0.845444 + 0.534064i \(0.179336\pi\)
\(948\) 16.5792 + 25.3862i 0.538467 + 0.824506i
\(949\) 26.5422 22.2715i 0.861595 0.722964i
\(950\) −2.90450 16.4723i −0.0942345 0.534430i
\(951\) −26.8949 + 11.4981i −0.872128 + 0.372852i
\(952\) −6.85429 5.75143i −0.222149 0.186405i
\(953\) −12.1127 + 20.9798i −0.392369 + 0.679603i −0.992762 0.120102i \(-0.961678\pi\)
0.600392 + 0.799706i \(0.295011\pi\)
\(954\) 24.9110 + 16.6165i 0.806524 + 0.537979i
\(955\) −7.07451 12.2534i −0.228926 0.396511i
\(956\) −1.38531 + 7.85647i −0.0448041 + 0.254096i
\(957\) −45.7894 13.8703i −1.48016 0.448362i
\(958\) 83.9701 + 30.5626i 2.71295 + 0.987433i
\(959\) −5.07969 1.84886i −0.164032 0.0597027i
\(960\) −8.02584 34.3595i −0.259033 1.10895i
\(961\) −1.81731 + 10.3065i −0.0586229 + 0.332467i
\(962\) −30.3954 52.6464i −0.979988 1.69739i
\(963\) −8.22016 11.1923i −0.264891 0.360666i
\(964\) −31.7686 + 55.0248i −1.02320 + 1.77223i
\(965\) −2.84051 2.38347i −0.0914392 0.0767266i
\(966\) 1.55435 12.9347i 0.0500104 0.416167i
\(967\) −0.744194 4.22054i −0.0239317 0.135723i 0.970501 0.241097i \(-0.0775072\pi\)
−0.994433 + 0.105374i \(0.966396\pi\)
\(968\) −8.55444 + 7.17803i −0.274950 + 0.230711i
\(969\) 6.80620 13.4435i 0.218647 0.431867i
\(970\) 48.6856 17.7201i 1.56320 0.568959i
\(971\) 15.3121 0.491389 0.245695 0.969347i \(-0.420984\pi\)
0.245695 + 0.969347i \(0.420984\pi\)
\(972\) −51.5240 3.83940i −1.65263 0.123149i
\(973\) −9.74454 −0.312395
\(974\) 8.63310 3.14219i 0.276622 0.100682i
\(975\) 5.20486 10.2805i 0.166689 0.329241i
\(976\) 3.11963 2.61768i 0.0998569 0.0837899i
\(977\) 1.31776 + 7.47341i 0.0421590 + 0.239096i 0.998604 0.0528162i \(-0.0168197\pi\)
−0.956445 + 0.291912i \(0.905709\pi\)
\(978\) 0.923239 7.68283i 0.0295219 0.245670i
\(979\) 38.2502 + 32.0957i 1.22248 + 1.02578i
\(980\) −2.63976 + 4.57220i −0.0843240 + 0.146053i
\(981\) −1.81151 2.46649i −0.0578370 0.0787489i
\(982\) 32.8507 + 56.8990i 1.04831 + 1.81572i
\(983\) −6.38493 + 36.2107i −0.203648 + 1.15494i 0.695906 + 0.718133i \(0.255003\pi\)
−0.899554 + 0.436810i \(0.856108\pi\)
\(984\) −6.24486 26.7349i −0.199079 0.852278i
\(985\) 30.7899 + 11.2066i 0.981049 + 0.357073i
\(986\) 46.1086 + 16.7822i 1.46840 + 0.534453i
\(987\) −9.35860 2.83486i −0.297888 0.0902345i
\(988\) −4.58070 + 25.9784i −0.145731 + 0.826484i
\(989\) 20.3564 + 35.2584i 0.647296 + 1.12115i
\(990\) −35.1198 23.4261i −1.11618 0.744530i
\(991\) 21.5345 37.2989i 0.684067 1.18484i −0.289662 0.957129i \(-0.593543\pi\)
0.973729 0.227710i \(-0.0731237\pi\)
\(992\) −18.1838 15.2580i −0.577336 0.484442i
\(993\) −17.6837 + 7.56012i −0.561174 + 0.239913i
\(994\) −2.29448 13.0127i −0.0727766 0.412737i
\(995\) 0.0570451 0.0478665i 0.00180845 0.00151747i
\(996\) 6.52646 + 9.99338i 0.206799 + 0.316652i
\(997\) −14.9944 + 5.45752i −0.474878 + 0.172841i −0.568361 0.822780i \(-0.692422\pi\)
0.0934830 + 0.995621i \(0.470200\pi\)
\(998\) −19.3302 −0.611887
\(999\) 32.2244 + 39.1706i 1.01954 + 1.23930i
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 189.2.v.a.169.9 yes 54
3.2 odd 2 567.2.v.b.505.1 54
27.2 odd 18 5103.2.a.f.1.26 27
27.4 even 9 inner 189.2.v.a.85.9 54
27.23 odd 18 567.2.v.b.64.1 54
27.25 even 9 5103.2.a.i.1.2 27
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
189.2.v.a.85.9 54 27.4 even 9 inner
189.2.v.a.169.9 yes 54 1.1 even 1 trivial
567.2.v.b.64.1 54 27.23 odd 18
567.2.v.b.505.1 54 3.2 odd 2
5103.2.a.f.1.26 27 27.2 odd 18
5103.2.a.i.1.2 27 27.25 even 9