Properties

Label 483.2.y.b.331.4
Level $483$
Weight $2$
Character 483.331
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [483,2,Mod(4,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 44, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), 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: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 331.4
Character \(\chi\) \(=\) 483.331
Dual form 483.2.y.b.340.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.460427 + 1.89791i) q^{2} +(-0.327068 + 0.945001i) q^{3} +(-1.61239 - 0.831245i) q^{4} +(0.128307 + 0.0513663i) q^{5} +(-1.64293 - 1.05585i) q^{6} +(-1.62090 + 2.09109i) q^{7} +(-0.237817 + 0.274456i) q^{8} +(-0.786053 - 0.618159i) q^{9} +O(q^{10})\) \(q+(-0.460427 + 1.89791i) q^{2} +(-0.327068 + 0.945001i) q^{3} +(-1.61239 - 0.831245i) q^{4} +(0.128307 + 0.0513663i) q^{5} +(-1.64293 - 1.05585i) q^{6} +(-1.62090 + 2.09109i) q^{7} +(-0.237817 + 0.274456i) q^{8} +(-0.786053 - 0.618159i) q^{9} +(-0.156565 + 0.219864i) q^{10} +(0.270110 + 1.11341i) q^{11} +(1.31289 - 1.25184i) q^{12} +(0.526616 + 1.15313i) q^{13} +(-3.22240 - 4.03912i) q^{14} +(-0.0905063 + 0.104450i) q^{15} +(-2.51590 - 3.53308i) q^{16} +(-0.146768 + 3.08103i) q^{17} +(1.53513 - 1.20724i) q^{18} +(-0.226514 - 4.75511i) q^{19} +(-0.164183 - 0.189477i) q^{20} +(-1.44594 - 2.21568i) q^{21} -2.23751 q^{22} +(-4.72631 + 0.813647i) q^{23} +(-0.181579 - 0.314503i) q^{24} +(-3.60485 - 3.43721i) q^{25} +(-2.43100 + 0.468536i) q^{26} +(0.841254 - 0.540641i) q^{27} +(4.35174 - 2.02429i) q^{28} +(4.44994 + 2.85981i) q^{29} +(-0.156565 - 0.219864i) q^{30} +(-1.86125 - 0.358727i) q^{31} +(7.18956 - 2.87827i) q^{32} +(-1.14052 - 0.108906i) q^{33} +(-5.77994 - 1.69714i) q^{34} +(-0.315385 + 0.185042i) q^{35} +(0.753583 + 1.65012i) q^{36} +(-4.39296 - 3.45466i) q^{37} +(9.12905 + 1.75948i) q^{38} +(-1.26195 + 0.120501i) q^{39} +(-0.0446114 + 0.0229988i) q^{40} +(0.573363 + 3.98783i) q^{41} +(4.87091 - 1.72410i) q^{42} +(4.23547 + 4.88799i) q^{43} +(0.489992 - 2.01978i) q^{44} +(-0.0691034 - 0.119691i) q^{45} +(0.631895 - 9.34472i) q^{46} +(-1.76906 + 3.06410i) q^{47} +(4.16163 - 1.22197i) q^{48} +(-1.74535 - 6.77892i) q^{49} +(8.18329 - 5.25908i) q^{50} +(-2.86358 - 1.14640i) q^{51} +(0.109421 - 2.29704i) q^{52} +(10.2787 - 0.981495i) q^{53} +(0.638750 + 1.84555i) q^{54} +(-0.0225347 + 0.156732i) q^{55} +(-0.188434 - 0.942164i) q^{56} +(4.56767 + 1.34119i) q^{57} +(-7.47652 + 7.12885i) q^{58} +(-5.01361 + 7.04064i) q^{59} +(0.232755 - 0.0931809i) q^{60} +(2.21524 + 6.40052i) q^{61} +(1.53780 - 3.36732i) q^{62} +(2.56674 - 0.641736i) q^{63} +(0.917882 + 6.38401i) q^{64} +(0.00833649 + 0.175004i) q^{65} +(0.731819 - 2.11445i) q^{66} +(-2.99011 - 2.85106i) q^{67} +(2.79774 - 4.84583i) q^{68} +(0.776927 - 4.73248i) q^{69} +(-0.205981 - 0.683769i) q^{70} +(-2.58761 + 0.759792i) q^{71} +(0.356594 - 0.0687279i) q^{72} +(10.2384 + 5.27828i) q^{73} +(8.57927 - 6.74682i) q^{74} +(4.42720 - 2.28238i) q^{75} +(-3.58743 + 7.85538i) q^{76} +(-2.76606 - 1.23990i) q^{77} +(0.352334 - 2.45054i) q^{78} +(-10.6102 - 1.01316i) q^{79} +(-0.141325 - 0.582551i) q^{80} +(0.235759 + 0.971812i) q^{81} +(-7.83252 - 0.747915i) q^{82} +(-1.61933 + 11.2627i) q^{83} +(0.489644 + 4.77448i) q^{84} +(-0.177093 + 0.387779i) q^{85} +(-11.2271 + 5.78796i) q^{86} +(-4.15795 + 3.26985i) q^{87} +(-0.369818 - 0.190655i) q^{88} +(3.25366 - 0.627091i) q^{89} +(0.258979 - 0.0760431i) q^{90} +(-3.26489 - 0.767904i) q^{91} +(8.29699 + 2.61680i) q^{92} +(0.947753 - 1.64156i) q^{93} +(-5.00085 - 4.76830i) q^{94} +(0.215189 - 0.621748i) q^{95} +(0.368489 + 7.73553i) q^{96} +(2.43915 + 16.9647i) q^{97} +(13.6694 - 0.191315i) q^{98} +(0.475943 - 1.04217i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 2 q^{11} + 18 q^{12} + 18 q^{14} - 18 q^{15} - 8 q^{16} + 4 q^{17} + 2 q^{18} + 8 q^{19} - 162 q^{20} - 4 q^{21} + 144 q^{22} - 26 q^{23} + 6 q^{24} - 8 q^{25} - 14 q^{26} - 32 q^{27} + 86 q^{28} - 74 q^{29} - 56 q^{31} - 28 q^{32} + 13 q^{33} + 40 q^{34} - 32 q^{35} - 14 q^{36} + 2 q^{37} - 39 q^{38} - 52 q^{40} + 60 q^{41} - 61 q^{42} + 16 q^{43} - 75 q^{44} - 2 q^{45} - 4 q^{46} - 40 q^{47} - 28 q^{48} - 100 q^{49} + 146 q^{50} - 18 q^{51} - 18 q^{52} + 34 q^{53} + 2 q^{54} + 36 q^{55} - 102 q^{56} + 28 q^{57} - 17 q^{58} - 102 q^{59} - 18 q^{60} - 18 q^{61} - 88 q^{62} + 2 q^{63} - 252 q^{64} - 78 q^{65} + 16 q^{66} + 12 q^{67} + 34 q^{68} + 8 q^{69} + 264 q^{70} + 160 q^{71} + 6 q^{72} - 8 q^{73} + 70 q^{74} + 14 q^{75} - 40 q^{76} - 90 q^{77} - 16 q^{78} + 26 q^{79} - 103 q^{80} + 16 q^{81} - 30 q^{82} - 80 q^{83} - 52 q^{84} - 128 q^{85} + 90 q^{86} + 4 q^{87} - 293 q^{88} - 36 q^{89} + 16 q^{91} - 174 q^{92} + 32 q^{93} + 57 q^{94} - 85 q^{95} - 50 q^{96} - 8 q^{97} - 193 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.460427 + 1.89791i −0.325571 + 1.34202i 0.540180 + 0.841549i \(0.318356\pi\)
−0.865752 + 0.500474i \(0.833159\pi\)
\(3\) −0.327068 + 0.945001i −0.188833 + 0.545596i
\(4\) −1.61239 0.831245i −0.806195 0.415622i
\(5\) 0.128307 + 0.0513663i 0.0573806 + 0.0229717i 0.400175 0.916439i \(-0.368949\pi\)
−0.342795 + 0.939410i \(0.611374\pi\)
\(6\) −1.64293 1.05585i −0.670725 0.431049i
\(7\) −1.62090 + 2.09109i −0.612644 + 0.790359i
\(8\) −0.237817 + 0.274456i −0.0840811 + 0.0970348i
\(9\) −0.786053 0.618159i −0.262018 0.206053i
\(10\) −0.156565 + 0.219864i −0.0495100 + 0.0695271i
\(11\) 0.270110 + 1.11341i 0.0814412 + 0.335705i 0.997927 0.0643630i \(-0.0205016\pi\)
−0.916485 + 0.400068i \(0.868986\pi\)
\(12\) 1.31289 1.25184i 0.378998 0.361374i
\(13\) 0.526616 + 1.15313i 0.146057 + 0.319820i 0.968494 0.249036i \(-0.0801136\pi\)
−0.822437 + 0.568856i \(0.807386\pi\)
\(14\) −3.22240 4.03912i −0.861222 1.07950i
\(15\) −0.0905063 + 0.104450i −0.0233686 + 0.0269688i
\(16\) −2.51590 3.53308i −0.628974 0.883270i
\(17\) −0.146768 + 3.08103i −0.0355964 + 0.747261i 0.908558 + 0.417758i \(0.137184\pi\)
−0.944155 + 0.329503i \(0.893119\pi\)
\(18\) 1.53513 1.20724i 0.361833 0.284549i
\(19\) −0.226514 4.75511i −0.0519658 1.09090i −0.862776 0.505587i \(-0.831276\pi\)
0.810810 0.585310i \(-0.199027\pi\)
\(20\) −0.164183 0.189477i −0.0367124 0.0423683i
\(21\) −1.44594 2.21568i −0.315530 0.483502i
\(22\) −2.23751 −0.477039
\(23\) −4.72631 + 0.813647i −0.985503 + 0.169657i
\(24\) −0.181579 0.314503i −0.0370646 0.0641977i
\(25\) −3.60485 3.43721i −0.720969 0.687443i
\(26\) −2.43100 + 0.468536i −0.476758 + 0.0918875i
\(27\) 0.841254 0.540641i 0.161899 0.104046i
\(28\) 4.35174 2.02429i 0.822401 0.382555i
\(29\) 4.44994 + 2.85981i 0.826334 + 0.531052i 0.884111 0.467277i \(-0.154765\pi\)
−0.0577772 + 0.998330i \(0.518401\pi\)
\(30\) −0.156565 0.219864i −0.0285846 0.0401415i
\(31\) −1.86125 0.358727i −0.334291 0.0644293i 0.0193439 0.999813i \(-0.493842\pi\)
−0.353635 + 0.935384i \(0.615054\pi\)
\(32\) 7.18956 2.87827i 1.27095 0.508811i
\(33\) −1.14052 0.108906i −0.198538 0.0189581i
\(34\) −5.77994 1.69714i −0.991252 0.291058i
\(35\) −0.315385 + 0.185042i −0.0533097 + 0.0312778i
\(36\) 0.753583 + 1.65012i 0.125597 + 0.275019i
\(37\) −4.39296 3.45466i −0.722198 0.567943i 0.187973 0.982174i \(-0.439808\pi\)
−0.910172 + 0.414231i \(0.864051\pi\)
\(38\) 9.12905 + 1.75948i 1.48093 + 0.285425i
\(39\) −1.26195 + 0.120501i −0.202073 + 0.0192956i
\(40\) −0.0446114 + 0.0229988i −0.00705368 + 0.00363642i
\(41\) 0.573363 + 3.98783i 0.0895442 + 0.622794i 0.984335 + 0.176308i \(0.0564155\pi\)
−0.894791 + 0.446486i \(0.852675\pi\)
\(42\) 4.87091 1.72410i 0.751598 0.266034i
\(43\) 4.23547 + 4.88799i 0.645903 + 0.745412i 0.980407 0.196983i \(-0.0631143\pi\)
−0.334504 + 0.942394i \(0.608569\pi\)
\(44\) 0.489992 2.01978i 0.0738691 0.304493i
\(45\) −0.0691034 0.119691i −0.0103013 0.0178424i
\(46\) 0.631895 9.34472i 0.0931678 1.37780i
\(47\) −1.76906 + 3.06410i −0.258043 + 0.446944i −0.965718 0.259594i \(-0.916411\pi\)
0.707674 + 0.706539i \(0.249744\pi\)
\(48\) 4.16163 1.22197i 0.600680 0.176376i
\(49\) −1.74535 6.77892i −0.249336 0.968417i
\(50\) 8.18329 5.25908i 1.15729 0.743746i
\(51\) −2.86358 1.14640i −0.400981 0.160529i
\(52\) 0.109421 2.29704i 0.0151740 0.318542i
\(53\) 10.2787 0.981495i 1.41188 0.134819i 0.638923 0.769271i \(-0.279380\pi\)
0.772962 + 0.634452i \(0.218774\pi\)
\(54\) 0.638750 + 1.84555i 0.0869229 + 0.251147i
\(55\) −0.0225347 + 0.156732i −0.00303858 + 0.0211338i
\(56\) −0.188434 0.942164i −0.0251806 0.125902i
\(57\) 4.56767 + 1.34119i 0.605002 + 0.177645i
\(58\) −7.47652 + 7.12885i −0.981716 + 0.936064i
\(59\) −5.01361 + 7.04064i −0.652717 + 0.916613i −0.999775 0.0212311i \(-0.993241\pi\)
0.347058 + 0.937844i \(0.387181\pi\)
\(60\) 0.232755 0.0931809i 0.0300485 0.0120296i
\(61\) 2.21524 + 6.40052i 0.283633 + 0.819503i 0.993362 + 0.115029i \(0.0366960\pi\)
−0.709729 + 0.704474i \(0.751183\pi\)
\(62\) 1.53780 3.36732i 0.195301 0.427650i
\(63\) 2.56674 0.641736i 0.323379 0.0808511i
\(64\) 0.917882 + 6.38401i 0.114735 + 0.798001i
\(65\) 0.00833649 + 0.175004i 0.00103401 + 0.0217066i
\(66\) 0.731819 2.11445i 0.0900807 0.260271i
\(67\) −2.99011 2.85106i −0.365300 0.348313i 0.485092 0.874463i \(-0.338786\pi\)
−0.850391 + 0.526151i \(0.823635\pi\)
\(68\) 2.79774 4.84583i 0.339276 0.587643i
\(69\) 0.776927 4.73248i 0.0935310 0.569724i
\(70\) −0.205981 0.683769i −0.0246194 0.0817261i
\(71\) −2.58761 + 0.759792i −0.307093 + 0.0901707i −0.431648 0.902042i \(-0.642068\pi\)
0.124555 + 0.992213i \(0.460250\pi\)
\(72\) 0.356594 0.0687279i 0.0420250 0.00809966i
\(73\) 10.2384 + 5.27828i 1.19832 + 0.617776i 0.937626 0.347646i \(-0.113019\pi\)
0.260693 + 0.965422i \(0.416049\pi\)
\(74\) 8.57927 6.74682i 0.997320 0.784301i
\(75\) 4.42720 2.28238i 0.511209 0.263547i
\(76\) −3.58743 + 7.85538i −0.411507 + 0.901074i
\(77\) −2.76606 1.23990i −0.315222 0.141300i
\(78\) 0.352334 2.45054i 0.0398940 0.277469i
\(79\) −10.6102 1.01316i −1.19375 0.113989i −0.520799 0.853680i \(-0.674366\pi\)
−0.672947 + 0.739691i \(0.734972\pi\)
\(80\) −0.141325 0.582551i −0.0158006 0.0651312i
\(81\) 0.235759 + 0.971812i 0.0261954 + 0.107979i
\(82\) −7.83252 0.747915i −0.864957 0.0825934i
\(83\) −1.61933 + 11.2627i −0.177745 + 1.23624i 0.684221 + 0.729275i \(0.260142\pi\)
−0.861965 + 0.506967i \(0.830767\pi\)
\(84\) 0.489644 + 4.77448i 0.0534246 + 0.520938i
\(85\) −0.177093 + 0.387779i −0.0192084 + 0.0420605i
\(86\) −11.2271 + 5.78796i −1.21065 + 0.624132i
\(87\) −4.15795 + 3.26985i −0.445779 + 0.350565i
\(88\) −0.369818 0.190655i −0.0394228 0.0203238i
\(89\) 3.25366 0.627091i 0.344887 0.0664715i −0.0138665 0.999904i \(-0.504414\pi\)
0.358753 + 0.933432i \(0.383202\pi\)
\(90\) 0.258979 0.0760431i 0.0272988 0.00801565i
\(91\) −3.26489 0.767904i −0.342253 0.0804982i
\(92\) 8.29699 + 2.61680i 0.865021 + 0.272820i
\(93\) 0.947753 1.64156i 0.0982774 0.170221i
\(94\) −5.00085 4.76830i −0.515798 0.491813i
\(95\) 0.215189 0.621748i 0.0220779 0.0637900i
\(96\) 0.368489 + 7.73553i 0.0376087 + 0.789505i
\(97\) 2.43915 + 16.9647i 0.247659 + 1.72250i 0.611673 + 0.791110i \(0.290497\pi\)
−0.364015 + 0.931393i \(0.618594\pi\)
\(98\) 13.6694 0.191315i 1.38082 0.0193257i
\(99\) 0.475943 1.04217i 0.0478340 0.104742i
\(100\) 2.95525 + 8.53864i 0.295525 + 0.853864i
\(101\) −6.70525 + 2.68438i −0.667197 + 0.267106i −0.680437 0.732807i \(-0.738210\pi\)
0.0132393 + 0.999912i \(0.495786\pi\)
\(102\) 3.49424 4.90697i 0.345981 0.485862i
\(103\) −4.96218 + 4.73143i −0.488939 + 0.466202i −0.893987 0.448093i \(-0.852103\pi\)
0.405048 + 0.914295i \(0.367255\pi\)
\(104\) −0.441721 0.129701i −0.0433143 0.0127182i
\(105\) −0.0717126 0.358560i −0.00699843 0.0349919i
\(106\) −2.86980 + 19.9599i −0.278740 + 1.93868i
\(107\) 3.71207 + 10.7253i 0.358859 + 1.03686i 0.969530 + 0.244971i \(0.0787785\pi\)
−0.610671 + 0.791884i \(0.709100\pi\)
\(108\) −1.80583 + 0.172436i −0.173766 + 0.0165927i
\(109\) 0.0638380 1.34012i 0.00611457 0.128361i −0.993746 0.111664i \(-0.964382\pi\)
0.999861 0.0166967i \(-0.00531499\pi\)
\(110\) −0.287088 0.114933i −0.0273728 0.0109584i
\(111\) 4.70146 3.02144i 0.446243 0.286783i
\(112\) 11.4660 + 0.465804i 1.08344 + 0.0440144i
\(113\) −13.3085 + 3.90773i −1.25196 + 0.367609i −0.839496 0.543365i \(-0.817150\pi\)
−0.412464 + 0.910974i \(0.635332\pi\)
\(114\) −4.64853 + 8.05149i −0.435375 + 0.754091i
\(115\) −0.648212 0.138376i −0.0604460 0.0129037i
\(116\) −4.79785 8.31011i −0.445469 0.771575i
\(117\) 0.298868 1.23195i 0.0276304 0.113894i
\(118\) −11.0541 12.7571i −1.01761 1.17438i
\(119\) −6.20484 5.30096i −0.568797 0.485938i
\(120\) −0.00714290 0.0496799i −0.000652054 0.00453514i
\(121\) 8.61047 4.43901i 0.782770 0.403546i
\(122\) −13.1676 + 1.25735i −1.19213 + 0.113835i
\(123\) −3.95603 0.762462i −0.356703 0.0687489i
\(124\) 2.70287 + 2.12556i 0.242725 + 0.190881i
\(125\) −0.573035 1.25477i −0.0512539 0.112230i
\(126\) 0.0361560 + 5.16692i 0.00322103 + 0.460306i
\(127\) −9.04156 2.65484i −0.802309 0.235579i −0.145227 0.989398i \(-0.546391\pi\)
−0.657082 + 0.753819i \(0.728209\pi\)
\(128\) 2.87960 + 0.274969i 0.254523 + 0.0243040i
\(129\) −6.00444 + 2.40382i −0.528662 + 0.211644i
\(130\) −0.335981 0.0647549i −0.0294674 0.00567938i
\(131\) −2.45976 3.45426i −0.214911 0.301800i 0.693022 0.720917i \(-0.256279\pi\)
−0.907932 + 0.419117i \(0.862340\pi\)
\(132\) 1.74843 + 1.12365i 0.152181 + 0.0978009i
\(133\) 10.3105 + 7.23391i 0.894037 + 0.627259i
\(134\) 6.78778 4.36224i 0.586375 0.376840i
\(135\) 0.135709 0.0261558i 0.0116800 0.00225113i
\(136\) −0.810704 0.773005i −0.0695173 0.0662846i
\(137\) −5.75563 9.96904i −0.491737 0.851713i 0.508218 0.861228i \(-0.330304\pi\)
−0.999955 + 0.00951554i \(0.996971\pi\)
\(138\) 8.62410 + 3.65350i 0.734132 + 0.311007i
\(139\) 6.20675 0.526449 0.263225 0.964735i \(-0.415214\pi\)
0.263225 + 0.964735i \(0.415214\pi\)
\(140\) 0.662338 0.0361979i 0.0559778 0.00305928i
\(141\) −2.31697 2.67393i −0.195124 0.225185i
\(142\) −0.250607 5.26088i −0.0210304 0.441483i
\(143\) −1.14166 + 0.897809i −0.0954702 + 0.0750786i
\(144\) −0.206378 + 4.33241i −0.0171982 + 0.361034i
\(145\) 0.424061 + 0.595510i 0.0352163 + 0.0494544i
\(146\) −14.7317 + 17.0013i −1.21921 + 1.40704i
\(147\) 6.97693 + 0.567809i 0.575448 + 0.0468321i
\(148\) 4.21150 + 9.22189i 0.346183 + 0.758035i
\(149\) 5.76821 5.49998i 0.472550 0.450576i −0.415994 0.909368i \(-0.636566\pi\)
0.888544 + 0.458792i \(0.151718\pi\)
\(150\) 2.29334 + 9.45329i 0.187251 + 0.771858i
\(151\) −10.5760 + 14.8519i −0.860661 + 1.20863i 0.115873 + 0.993264i \(0.463034\pi\)
−0.976534 + 0.215365i \(0.930906\pi\)
\(152\) 1.35894 + 1.06868i 0.110224 + 0.0866813i
\(153\) 2.01994 2.33113i 0.163302 0.188461i
\(154\) 3.62679 4.67885i 0.292255 0.377032i
\(155\) −0.220385 0.141633i −0.0177017 0.0113762i
\(156\) 2.13491 + 0.854691i 0.170930 + 0.0684300i
\(157\) 9.03273 + 4.65670i 0.720890 + 0.371645i 0.779303 0.626648i \(-0.215573\pi\)
−0.0584123 + 0.998293i \(0.518604\pi\)
\(158\) 6.80812 19.6708i 0.541625 1.56492i
\(159\) −2.43431 + 10.0344i −0.193054 + 0.795778i
\(160\) 1.07032 0.0846159
\(161\) 5.95947 11.2020i 0.469672 0.882841i
\(162\) −1.95296 −0.153439
\(163\) −1.54319 + 6.36112i −0.120872 + 0.498242i 0.878902 + 0.477002i \(0.158276\pi\)
−0.999774 + 0.0212398i \(0.993239\pi\)
\(164\) 2.39037 6.90653i 0.186657 0.539310i
\(165\) −0.140742 0.0725575i −0.0109567 0.00564859i
\(166\) −20.6300 8.25900i −1.60120 0.641023i
\(167\) 13.3583 + 8.58485i 1.03370 + 0.664316i 0.943420 0.331601i \(-0.107589\pi\)
0.0902759 + 0.995917i \(0.471225\pi\)
\(168\) 0.951977 + 0.130081i 0.0734466 + 0.0100360i
\(169\) 7.46081 8.61024i 0.573909 0.662326i
\(170\) −0.654430 0.514650i −0.0501925 0.0394718i
\(171\) −2.76136 + 3.87779i −0.211167 + 0.296542i
\(172\) −2.76611 11.4021i −0.210914 0.869399i
\(173\) −10.9478 + 10.4387i −0.832345 + 0.793639i −0.980746 0.195288i \(-0.937436\pi\)
0.148401 + 0.988927i \(0.452587\pi\)
\(174\) −4.29144 9.39694i −0.325333 0.712380i
\(175\) 13.0306 1.96669i 0.985024 0.148667i
\(176\) 3.25419 3.75554i 0.245294 0.283085i
\(177\) −5.01361 7.04064i −0.376846 0.529207i
\(178\) −0.307912 + 6.46387i −0.0230790 + 0.484488i
\(179\) 13.2928 10.4536i 0.993549 0.781335i 0.0177136 0.999843i \(-0.494361\pi\)
0.975835 + 0.218508i \(0.0701189\pi\)
\(180\) 0.0119294 + 0.250430i 0.000889168 + 0.0186659i
\(181\) 3.36509 + 3.88352i 0.250125 + 0.288660i 0.866902 0.498478i \(-0.166108\pi\)
−0.616777 + 0.787138i \(0.711562\pi\)
\(182\) 2.96066 5.84290i 0.219458 0.433104i
\(183\) −6.77303 −0.500677
\(184\) 0.900687 1.49066i 0.0663996 0.109893i
\(185\) −0.386194 0.668907i −0.0283935 0.0491790i
\(186\) 2.67915 + 2.55457i 0.196445 + 0.187310i
\(187\) −3.47009 + 0.668806i −0.253758 + 0.0489079i
\(188\) 5.39942 3.47000i 0.393793 0.253076i
\(189\) −0.233059 + 2.63547i −0.0169525 + 0.191702i
\(190\) 1.08094 + 0.694679i 0.0784198 + 0.0503973i
\(191\) 7.87694 + 11.0616i 0.569955 + 0.800390i 0.994469 0.105031i \(-0.0334943\pi\)
−0.424514 + 0.905422i \(0.639555\pi\)
\(192\) −6.33310 1.22061i −0.457052 0.0880896i
\(193\) 19.6552 7.86876i 1.41481 0.566406i 0.466722 0.884404i \(-0.345435\pi\)
0.948091 + 0.317998i \(0.103011\pi\)
\(194\) −33.3205 3.18172i −2.39227 0.228434i
\(195\) −0.168106 0.0493603i −0.0120383 0.00353477i
\(196\) −2.82075 + 12.3811i −0.201482 + 0.884363i
\(197\) −5.92185 12.9670i −0.421914 0.923863i −0.994570 0.104067i \(-0.966814\pi\)
0.572656 0.819796i \(-0.305913\pi\)
\(198\) 1.75880 + 1.38314i 0.124993 + 0.0982954i
\(199\) 19.4627 + 3.75112i 1.37967 + 0.265910i 0.824517 0.565837i \(-0.191447\pi\)
0.555155 + 0.831747i \(0.312659\pi\)
\(200\) 1.80066 0.171942i 0.127326 0.0121581i
\(201\) 3.67222 1.89316i 0.259019 0.133533i
\(202\) −2.00742 13.9619i −0.141242 0.982357i
\(203\) −13.1930 + 4.66979i −0.925970 + 0.327755i
\(204\) 3.66426 + 4.22878i 0.256550 + 0.296074i
\(205\) −0.131274 + 0.541117i −0.00916854 + 0.0377932i
\(206\) −6.69510 11.5962i −0.466470 0.807949i
\(207\) 4.21809 + 2.28204i 0.293178 + 0.158613i
\(208\) 2.74918 4.76172i 0.190622 0.330166i
\(209\) 5.23320 1.53660i 0.361988 0.106289i
\(210\) 0.713532 + 0.0289871i 0.0492384 + 0.00200030i
\(211\) 14.0654 9.03927i 0.968301 0.622289i 0.0420175 0.999117i \(-0.486621\pi\)
0.926283 + 0.376828i \(0.122985\pi\)
\(212\) −17.3891 6.96155i −1.19429 0.478121i
\(213\) 0.128322 2.69380i 0.00879245 0.184576i
\(214\) −22.0648 + 2.10693i −1.50832 + 0.144027i
\(215\) 0.292361 + 0.844723i 0.0199389 + 0.0576096i
\(216\) −0.0516826 + 0.359461i −0.00351656 + 0.0244582i
\(217\) 3.76704 3.31059i 0.255723 0.224738i
\(218\) 2.51404 + 0.738189i 0.170272 + 0.0499965i
\(219\) −8.33665 + 7.94898i −0.563338 + 0.537142i
\(220\) 0.166618 0.233982i 0.0112334 0.0157751i
\(221\) −3.63011 + 1.45328i −0.244188 + 0.0977581i
\(222\) 3.56974 + 10.3141i 0.239585 + 0.692236i
\(223\) 6.88853 15.0838i 0.461290 1.01008i −0.525902 0.850545i \(-0.676272\pi\)
0.987192 0.159539i \(-0.0510008\pi\)
\(224\) −5.63485 + 19.6994i −0.376494 + 1.31622i
\(225\) 0.708856 + 4.93020i 0.0472571 + 0.328680i
\(226\) −1.28891 27.0576i −0.0857371 1.79984i
\(227\) −3.26747 + 9.44073i −0.216869 + 0.626603i 0.783119 + 0.621871i \(0.213627\pi\)
−0.999989 + 0.00473167i \(0.998494\pi\)
\(228\) −6.25001 5.95937i −0.413917 0.394669i
\(229\) −6.10691 + 10.5775i −0.403556 + 0.698979i −0.994152 0.107988i \(-0.965559\pi\)
0.590596 + 0.806967i \(0.298893\pi\)
\(230\) 0.561080 1.16653i 0.0369965 0.0769189i
\(231\) 2.07640 2.20840i 0.136617 0.145302i
\(232\) −1.84316 + 0.541202i −0.121010 + 0.0355316i
\(233\) 9.60111 1.85046i 0.628990 0.121228i 0.135213 0.990817i \(-0.456828\pi\)
0.493777 + 0.869589i \(0.335616\pi\)
\(234\) 2.20052 + 1.13445i 0.143853 + 0.0741612i
\(235\) −0.384373 + 0.302275i −0.0250738 + 0.0197182i
\(236\) 13.9364 7.18471i 0.907182 0.467685i
\(237\) 4.42770 9.69532i 0.287610 0.629778i
\(238\) 12.9176 9.33550i 0.837325 0.605131i
\(239\) 1.39668 9.71411i 0.0903436 0.628354i −0.893465 0.449132i \(-0.851733\pi\)
0.983809 0.179221i \(-0.0573578\pi\)
\(240\) 0.596734 + 0.0569812i 0.0385190 + 0.00367812i
\(241\) 0.821030 + 3.38433i 0.0528872 + 0.218004i 0.992123 0.125269i \(-0.0399795\pi\)
−0.939236 + 0.343273i \(0.888464\pi\)
\(242\) 4.46033 + 18.3857i 0.286721 + 1.18188i
\(243\) −0.995472 0.0950560i −0.0638596 0.00609785i
\(244\) 1.74857 12.1615i 0.111940 0.778563i
\(245\) 0.124268 0.959434i 0.00793917 0.0612960i
\(246\) 3.26855 7.15712i 0.208395 0.456321i
\(247\) 5.36396 2.76531i 0.341301 0.175953i
\(248\) 0.541093 0.425520i 0.0343594 0.0270205i
\(249\) −10.1136 5.21394i −0.640925 0.330420i
\(250\) 2.64528 0.509837i 0.167302 0.0322449i
\(251\) −17.3043 + 5.08100i −1.09224 + 0.320710i −0.777764 0.628557i \(-0.783646\pi\)
−0.314473 + 0.949266i \(0.601828\pi\)
\(252\) −4.67203 1.09886i −0.294310 0.0692219i
\(253\) −2.18254 5.04254i −0.137215 0.317022i
\(254\) 9.20163 15.9377i 0.577362 1.00002i
\(255\) −0.308530 0.294183i −0.0193209 0.0184224i
\(256\) −6.06666 + 17.5285i −0.379166 + 1.09553i
\(257\) −0.989989 20.7824i −0.0617538 1.29637i −0.790871 0.611983i \(-0.790372\pi\)
0.729117 0.684389i \(-0.239931\pi\)
\(258\) −1.79761 12.5027i −0.111914 0.778382i
\(259\) 14.3446 3.58643i 0.891329 0.222850i
\(260\) 0.132030 0.289105i 0.00818814 0.0179295i
\(261\) −1.73008 4.99873i −0.107089 0.309414i
\(262\) 7.68840 3.07797i 0.474991 0.190158i
\(263\) 5.64492 7.92718i 0.348081 0.488811i −0.603005 0.797737i \(-0.706030\pi\)
0.951086 + 0.308926i \(0.0999696\pi\)
\(264\) 0.301124 0.287122i 0.0185329 0.0176711i
\(265\) 1.36924 + 0.402045i 0.0841118 + 0.0246974i
\(266\) −18.4765 + 16.2378i −1.13287 + 0.995601i
\(267\) −0.471566 + 3.27981i −0.0288593 + 0.200721i
\(268\) 2.45129 + 7.08253i 0.149736 + 0.432635i
\(269\) 6.66152 0.636098i 0.406160 0.0387836i 0.110023 0.993929i \(-0.464908\pi\)
0.296137 + 0.955145i \(0.404301\pi\)
\(270\) −0.0128429 + 0.269607i −0.000781597 + 0.0164077i
\(271\) −19.4446 7.78445i −1.18118 0.472872i −0.303829 0.952727i \(-0.598265\pi\)
−0.877348 + 0.479855i \(0.840689\pi\)
\(272\) 11.2548 7.23302i 0.682422 0.438566i
\(273\) 1.79351 2.83417i 0.108548 0.171532i
\(274\) 21.5704 6.33363i 1.30311 0.382629i
\(275\) 2.85332 4.94209i 0.172062 0.298019i
\(276\) −5.18656 + 6.98479i −0.312194 + 0.420435i
\(277\) −11.2532 19.4911i −0.676139 1.17111i −0.976134 0.217167i \(-0.930318\pi\)
0.299995 0.953941i \(-0.403015\pi\)
\(278\) −2.85776 + 11.7798i −0.171397 + 0.706507i
\(279\) 1.24129 + 1.43253i 0.0743142 + 0.0857632i
\(280\) 0.0242181 0.130565i 0.00144731 0.00780277i
\(281\) 0.958033 + 6.66326i 0.0571514 + 0.397497i 0.998238 + 0.0593320i \(0.0188971\pi\)
−0.941087 + 0.338165i \(0.890194\pi\)
\(282\) 6.14167 3.16625i 0.365731 0.188547i
\(283\) 2.49959 0.238682i 0.148585 0.0141882i −0.0204983 0.999790i \(-0.506525\pi\)
0.169084 + 0.985602i \(0.445919\pi\)
\(284\) 4.80382 + 0.925860i 0.285054 + 0.0549397i
\(285\) 0.517171 + 0.406708i 0.0306346 + 0.0240913i
\(286\) −1.17831 2.58014i −0.0696749 0.152567i
\(287\) −9.26828 5.26492i −0.547090 0.310778i
\(288\) −7.43061 2.18182i −0.437853 0.128565i
\(289\) 7.45179 + 0.711560i 0.438341 + 0.0418564i
\(290\) −1.32547 + 0.530639i −0.0778344 + 0.0311602i
\(291\) −16.8294 3.24360i −0.986558 0.190143i
\(292\) −12.1208 17.0213i −0.709317 0.996096i
\(293\) −25.4897 16.3813i −1.48913 0.957003i −0.996215 0.0869240i \(-0.972296\pi\)
−0.492911 0.870079i \(-0.664067\pi\)
\(294\) −4.29002 + 12.9801i −0.250199 + 0.757017i
\(295\) −1.00493 + 0.645831i −0.0585094 + 0.0376017i
\(296\) 1.99287 0.384095i 0.115833 0.0223251i
\(297\) 0.829185 + 0.790626i 0.0481142 + 0.0458768i
\(298\) 7.78261 + 13.4799i 0.450834 + 0.780868i
\(299\) −3.42719 5.02155i −0.198199 0.290404i
\(300\) −9.03559 −0.521670
\(301\) −17.0865 + 0.933808i −0.984851 + 0.0538238i
\(302\) −23.3180 26.9105i −1.34180 1.54852i
\(303\) −0.343666 7.21444i −0.0197431 0.414459i
\(304\) −16.2303 + 12.7637i −0.930872 + 0.732046i
\(305\) −0.0445405 + 0.935020i −0.00255038 + 0.0535391i
\(306\) 3.49424 + 4.90697i 0.199752 + 0.280513i
\(307\) 8.46493 9.76905i 0.483119 0.557549i −0.460895 0.887455i \(-0.652472\pi\)
0.944014 + 0.329906i \(0.107017\pi\)
\(308\) 3.42931 + 4.29848i 0.195403 + 0.244929i
\(309\) −2.84824 6.23677i −0.162031 0.354797i
\(310\) 0.370277 0.353059i 0.0210303 0.0200524i
\(311\) 6.04579 + 24.9211i 0.342825 + 1.41314i 0.838626 + 0.544708i \(0.183360\pi\)
−0.495800 + 0.868437i \(0.665125\pi\)
\(312\) 0.267040 0.375005i 0.0151182 0.0212305i
\(313\) 1.72409 + 1.35584i 0.0974511 + 0.0766364i 0.665696 0.746223i \(-0.268135\pi\)
−0.568245 + 0.822860i \(0.692377\pi\)
\(314\) −12.9969 + 14.9992i −0.733457 + 0.846455i
\(315\) 0.362294 + 0.0495051i 0.0204130 + 0.00278929i
\(316\) 16.2657 + 10.4533i 0.915015 + 0.588045i
\(317\) 23.3760 + 9.35834i 1.31293 + 0.525617i 0.919265 0.393638i \(-0.128784\pi\)
0.393662 + 0.919255i \(0.371208\pi\)
\(318\) −17.9235 9.24020i −1.00510 0.518165i
\(319\) −1.98216 + 5.72707i −0.110979 + 0.320654i
\(320\) −0.210152 + 0.866260i −0.0117479 + 0.0484254i
\(321\) −11.3495 −0.633469
\(322\) 18.5165 + 16.4682i 1.03188 + 0.917739i
\(323\) 14.6839 0.817034
\(324\) 0.427678 1.76291i 0.0237599 0.0979396i
\(325\) 2.06518 5.96694i 0.114555 0.330986i
\(326\) −11.3623 5.85767i −0.629299 0.324426i
\(327\) 1.24554 + 0.498639i 0.0688785 + 0.0275748i
\(328\) −1.23084 0.791011i −0.0679616 0.0436763i
\(329\) −3.53985 8.66587i −0.195158 0.477765i
\(330\) 0.202509 0.233708i 0.0111477 0.0128652i
\(331\) 5.37900 + 4.23009i 0.295657 + 0.232507i 0.754957 0.655774i \(-0.227658\pi\)
−0.459301 + 0.888281i \(0.651900\pi\)
\(332\) 11.9731 16.8138i 0.657107 0.922777i
\(333\) 1.31757 + 5.43110i 0.0722024 + 0.297622i
\(334\) −22.4438 + 21.4001i −1.22807 + 1.17096i
\(335\) −0.237203 0.519401i −0.0129598 0.0283779i
\(336\) −4.19036 + 10.6831i −0.228603 + 0.582809i
\(337\) −11.6917 + 13.4930i −0.636889 + 0.735009i −0.978822 0.204715i \(-0.934373\pi\)
0.341932 + 0.939725i \(0.388919\pi\)
\(338\) 12.9063 + 18.1243i 0.702009 + 0.985833i
\(339\) 0.659979 13.8547i 0.0358451 0.752482i
\(340\) 0.607882 0.478043i 0.0329670 0.0259255i
\(341\) −0.103333 2.16923i −0.00559580 0.117470i
\(342\) −6.08828 7.02625i −0.329217 0.379936i
\(343\) 17.0044 + 7.33827i 0.918152 + 0.396229i
\(344\) −2.34880 −0.126639
\(345\) 0.342775 0.567302i 0.0184544 0.0305425i
\(346\) −14.7710 25.5842i −0.794095 1.37541i
\(347\) −2.20834 2.10565i −0.118550 0.113037i 0.628486 0.777821i \(-0.283675\pi\)
−0.747036 + 0.664784i \(0.768524\pi\)
\(348\) 9.42229 1.81600i 0.505088 0.0973476i
\(349\) −5.46424 + 3.51165i −0.292494 + 0.187974i −0.678656 0.734457i \(-0.737437\pi\)
0.386162 + 0.922431i \(0.373801\pi\)
\(350\) −2.26708 + 25.6365i −0.121180 + 1.37033i
\(351\) 1.06644 + 0.685362i 0.0569226 + 0.0365819i
\(352\) 5.14666 + 7.22747i 0.274318 + 0.385226i
\(353\) 13.0098 + 2.50743i 0.692441 + 0.133457i 0.523317 0.852138i \(-0.324694\pi\)
0.169123 + 0.985595i \(0.445906\pi\)
\(354\) 15.6709 6.27368i 0.832898 0.333442i
\(355\) −0.371036 0.0354297i −0.0196926 0.00188041i
\(356\) −5.76743 1.69347i −0.305673 0.0897537i
\(357\) 7.03882 4.12980i 0.372534 0.218572i
\(358\) 13.7195 + 30.0416i 0.725099 + 1.58775i
\(359\) −10.9667 8.62430i −0.578800 0.455173i 0.285339 0.958427i \(-0.407894\pi\)
−0.864139 + 0.503254i \(0.832136\pi\)
\(360\) 0.0492838 + 0.00949867i 0.00259748 + 0.000500624i
\(361\) −3.64579 + 0.348131i −0.191884 + 0.0183227i
\(362\) −8.91994 + 4.59855i −0.468821 + 0.241694i
\(363\) 1.37866 + 9.58876i 0.0723606 + 0.503279i
\(364\) 4.62596 + 3.95208i 0.242466 + 0.207145i
\(365\) 1.04254 + 1.20315i 0.0545688 + 0.0629758i
\(366\) 3.11849 12.8546i 0.163006 0.671920i
\(367\) 4.80525 + 8.32294i 0.250832 + 0.434454i 0.963755 0.266788i \(-0.0859624\pi\)
−0.712923 + 0.701242i \(0.752629\pi\)
\(368\) 14.7656 + 14.6514i 0.769709 + 0.763756i
\(369\) 2.01442 3.48907i 0.104866 0.181634i
\(370\) 1.44734 0.424977i 0.0752435 0.0220935i
\(371\) −14.6083 + 23.0846i −0.758427 + 1.19849i
\(372\) −2.89268 + 1.85901i −0.149979 + 0.0963854i
\(373\) 6.19634 + 2.48064i 0.320834 + 0.128443i 0.526489 0.850182i \(-0.323508\pi\)
−0.205655 + 0.978625i \(0.565932\pi\)
\(374\) 0.328395 6.89385i 0.0169809 0.356473i
\(375\) 1.37318 0.131123i 0.0709109 0.00677117i
\(376\) −0.420247 1.21422i −0.0216726 0.0626188i
\(377\) −0.954310 + 6.63737i −0.0491494 + 0.341842i
\(378\) −4.89457 1.65577i −0.251749 0.0851634i
\(379\) −31.8172 9.34238i −1.63434 0.479886i −0.669520 0.742794i \(-0.733500\pi\)
−0.964821 + 0.262909i \(0.915318\pi\)
\(380\) −0.863794 + 0.823626i −0.0443117 + 0.0422511i
\(381\) 5.46603 7.67597i 0.280033 0.393252i
\(382\) −24.6207 + 9.85663i −1.25970 + 0.504309i
\(383\) 11.9135 + 34.4218i 0.608752 + 1.75887i 0.650234 + 0.759734i \(0.274671\pi\)
−0.0414827 + 0.999139i \(0.513208\pi\)
\(384\) −1.20167 + 2.63129i −0.0613225 + 0.134278i
\(385\) −0.291216 0.301170i −0.0148417 0.0153491i
\(386\) 5.88438 + 40.9268i 0.299507 + 2.08312i
\(387\) −0.307747 6.46041i −0.0156437 0.328401i
\(388\) 10.1689 29.3812i 0.516250 1.49161i
\(389\) −2.08270 1.98585i −0.105597 0.100687i 0.635442 0.772149i \(-0.280818\pi\)
−0.741039 + 0.671462i \(0.765667\pi\)
\(390\) 0.171082 0.296323i 0.00866307 0.0150049i
\(391\) −1.81321 14.6813i −0.0916977 0.742467i
\(392\) 2.27559 + 1.13312i 0.114935 + 0.0572313i
\(393\) 4.06878 1.19470i 0.205243 0.0602648i
\(394\) 27.3368 5.26874i 1.37721 0.265435i
\(395\) −1.30932 0.675004i −0.0658793 0.0339631i
\(396\) −1.63370 + 1.28476i −0.0820967 + 0.0645615i
\(397\) 10.9125 5.62581i 0.547685 0.282351i −0.162094 0.986775i \(-0.551825\pi\)
0.709779 + 0.704424i \(0.248795\pi\)
\(398\) −16.0804 + 35.2112i −0.806039 + 1.76498i
\(399\) −10.2083 + 7.37749i −0.511054 + 0.369336i
\(400\) −3.07454 + 21.3839i −0.153727 + 1.06919i
\(401\) −18.5912 1.77524i −0.928398 0.0886513i −0.380111 0.924941i \(-0.624114\pi\)
−0.548288 + 0.836290i \(0.684720\pi\)
\(402\) 1.90226 + 7.84120i 0.0948759 + 0.391084i
\(403\) −0.566506 2.33517i −0.0282197 0.116323i
\(404\) 13.0429 + 1.24544i 0.648906 + 0.0619630i
\(405\) −0.0196689 + 0.136800i −0.000977355 + 0.00679765i
\(406\) −2.78838 27.1893i −0.138385 1.34938i
\(407\) 2.65987 5.82430i 0.131845 0.288700i
\(408\) 0.995645 0.513291i 0.0492918 0.0254117i
\(409\) 26.4210 20.7777i 1.30643 1.02739i 0.309359 0.950945i \(-0.399885\pi\)
0.997074 0.0764450i \(-0.0243570\pi\)
\(410\) −0.966548 0.498290i −0.0477344 0.0246088i
\(411\) 11.3032 2.17852i 0.557548 0.107458i
\(412\) 11.9340 3.50413i 0.587944 0.172636i
\(413\) −6.59606 21.8961i −0.324571 1.07744i
\(414\) −6.27323 + 6.95484i −0.308312 + 0.341812i
\(415\) −0.786295 + 1.36190i −0.0385977 + 0.0668532i
\(416\) 7.10514 + 6.77474i 0.348358 + 0.332159i
\(417\) −2.03003 + 5.86538i −0.0994109 + 0.287229i
\(418\) 0.506827 + 10.6396i 0.0247897 + 0.520401i
\(419\) −2.08324 14.4892i −0.101773 0.707845i −0.975270 0.221016i \(-0.929063\pi\)
0.873497 0.486829i \(-0.161846\pi\)
\(420\) −0.182423 + 0.637749i −0.00890131 + 0.0311190i
\(421\) −13.2476 + 29.0083i −0.645651 + 1.41378i 0.249659 + 0.968334i \(0.419682\pi\)
−0.895310 + 0.445444i \(0.853046\pi\)
\(422\) 10.6796 + 30.8567i 0.519876 + 1.50208i
\(423\) 3.28467 1.31498i 0.159706 0.0639367i
\(424\) −2.17507 + 3.05446i −0.105631 + 0.148338i
\(425\) 11.1192 10.6022i 0.539363 0.514281i
\(426\) 5.05350 + 1.48384i 0.244843 + 0.0718924i
\(427\) −16.9748 5.74234i −0.821468 0.277891i
\(428\) 2.93006 20.3790i 0.141630 0.985058i
\(429\) −0.475031 1.37251i −0.0229347 0.0662655i
\(430\) −1.73782 + 0.165941i −0.0838050 + 0.00800241i
\(431\) −1.34777 + 28.2931i −0.0649197 + 1.36283i 0.697888 + 0.716207i \(0.254123\pi\)
−0.762808 + 0.646625i \(0.776180\pi\)
\(432\) −4.02663 1.61202i −0.193732 0.0775584i
\(433\) 34.5124 22.1798i 1.65856 1.06589i 0.738388 0.674376i \(-0.235587\pi\)
0.920171 0.391516i \(-0.128049\pi\)
\(434\) 4.54875 + 8.67378i 0.218347 + 0.416355i
\(435\) −0.701454 + 0.205965i −0.0336321 + 0.00987529i
\(436\) −1.21690 + 2.10774i −0.0582791 + 0.100942i
\(437\) 4.93955 + 22.2898i 0.236291 + 1.06627i
\(438\) −11.2480 19.4821i −0.537450 0.930891i
\(439\) 3.09849 12.7721i 0.147883 0.609581i −0.848837 0.528654i \(-0.822697\pi\)
0.996720 0.0809268i \(-0.0257880\pi\)
\(440\) −0.0376570 0.0434585i −0.00179523 0.00207180i
\(441\) −2.81851 + 6.40750i −0.134215 + 0.305119i
\(442\) −1.08678 7.55875i −0.0516931 0.359533i
\(443\) −8.86582 + 4.57065i −0.421228 + 0.217158i −0.655790 0.754943i \(-0.727664\pi\)
0.234563 + 0.972101i \(0.424634\pi\)
\(444\) −10.0921 + 0.963683i −0.478952 + 0.0457344i
\(445\) 0.449678 + 0.0866683i 0.0213168 + 0.00410847i
\(446\) 25.4560 + 20.0188i 1.20537 + 0.947917i
\(447\) 3.31089 + 7.24983i 0.156600 + 0.342905i
\(448\) −14.8374 8.42848i −0.700999 0.398208i
\(449\) −16.9686 4.98242i −0.800796 0.235135i −0.144368 0.989524i \(-0.546115\pi\)
−0.656427 + 0.754389i \(0.727933\pi\)
\(450\) −9.68344 0.924657i −0.456482 0.0435887i
\(451\) −4.28521 + 1.71554i −0.201783 + 0.0807815i
\(452\) 24.7068 + 4.76185i 1.16211 + 0.223978i
\(453\) −10.5760 14.8519i −0.496903 0.697802i
\(454\) −16.4132 10.5481i −0.770310 0.495048i
\(455\) −0.379463 0.266233i −0.0177895 0.0124812i
\(456\) −1.45437 + 0.934665i −0.0681070 + 0.0437697i
\(457\) 12.0727 2.32683i 0.564738 0.108844i 0.101112 0.994875i \(-0.467760\pi\)
0.463627 + 0.886031i \(0.346548\pi\)
\(458\) −17.2633 16.4605i −0.806660 0.769149i
\(459\) 1.54226 + 2.67128i 0.0719867 + 0.124685i
\(460\) 0.930145 + 0.761939i 0.0433682 + 0.0355256i
\(461\) 28.1933 1.31309 0.656546 0.754286i \(-0.272017\pi\)
0.656546 + 0.754286i \(0.272017\pi\)
\(462\) 3.23531 + 4.95762i 0.150520 + 0.230649i
\(463\) 8.54659 + 9.86329i 0.397194 + 0.458386i 0.918755 0.394828i \(-0.129196\pi\)
−0.521561 + 0.853214i \(0.674650\pi\)
\(464\) −1.09167 22.9170i −0.0506795 1.06389i
\(465\) 0.205924 0.161940i 0.00954949 0.00750980i
\(466\) −0.908608 + 19.0740i −0.0420905 + 0.883588i
\(467\) −8.91197 12.5151i −0.412397 0.579130i 0.555173 0.831735i \(-0.312652\pi\)
−0.967570 + 0.252605i \(0.918713\pi\)
\(468\) −1.50595 + 1.73795i −0.0696123 + 0.0803369i
\(469\) 10.8085 1.63130i 0.499091 0.0753266i
\(470\) −0.396713 0.868681i −0.0182990 0.0400693i
\(471\) −7.35490 + 7.01288i −0.338896 + 0.323137i
\(472\) −0.740019 3.05040i −0.0340621 0.140406i
\(473\) −4.29829 + 6.03610i −0.197636 + 0.277540i
\(474\) 16.3622 + 12.8674i 0.751540 + 0.591017i
\(475\) −15.5278 + 17.9200i −0.712463 + 0.822227i
\(476\) 5.59822 + 13.7050i 0.256594 + 0.628166i
\(477\) −8.68631 5.58235i −0.397719 0.255598i
\(478\) 17.7934 + 7.12341i 0.813852 + 0.325817i
\(479\) −24.6242 12.6946i −1.12511 0.580033i −0.207783 0.978175i \(-0.566625\pi\)
−0.917324 + 0.398142i \(0.869655\pi\)
\(480\) −0.350066 + 1.01145i −0.0159783 + 0.0461662i
\(481\) 1.67026 6.88492i 0.0761575 0.313925i
\(482\) −6.80118 −0.309785
\(483\) 8.63674 + 9.29552i 0.392985 + 0.422961i
\(484\) −17.5733 −0.798788
\(485\) −0.558453 + 2.30198i −0.0253581 + 0.104527i
\(486\) 0.638750 1.84555i 0.0289743 0.0837157i
\(487\) 2.73520 + 1.41010i 0.123944 + 0.0638975i 0.519083 0.854724i \(-0.326273\pi\)
−0.395139 + 0.918621i \(0.629304\pi\)
\(488\) −2.28348 0.914169i −0.103368 0.0413825i
\(489\) −5.50654 3.53884i −0.249014 0.160032i
\(490\) 1.76370 + 0.677598i 0.0796759 + 0.0306108i
\(491\) 10.2793 11.8630i 0.463899 0.535368i −0.474805 0.880091i \(-0.657482\pi\)
0.938705 + 0.344722i \(0.112027\pi\)
\(492\) 5.74487 + 4.51781i 0.258999 + 0.203679i
\(493\) −9.46427 + 13.2907i −0.426249 + 0.598583i
\(494\) 2.77860 + 11.4535i 0.125015 + 0.515319i
\(495\) 0.114599 0.109270i 0.00515085 0.00491132i
\(496\) 3.41530 + 7.47847i 0.153352 + 0.335793i
\(497\) 2.60547 6.64249i 0.116871 0.297957i
\(498\) 14.5522 16.7941i 0.652098 0.752561i
\(499\) −0.719406 1.01026i −0.0322051 0.0452257i 0.798159 0.602446i \(-0.205807\pi\)
−0.830365 + 0.557221i \(0.811868\pi\)
\(500\) −0.119067 + 2.49952i −0.00532482 + 0.111782i
\(501\) −12.4818 + 9.81577i −0.557644 + 0.438536i
\(502\) −1.67590 35.1814i −0.0747989 1.57022i
\(503\) −21.9198 25.2968i −0.977355 1.12793i −0.991770 0.128032i \(-0.959134\pi\)
0.0144148 0.999896i \(-0.495411\pi\)
\(504\) −0.434288 + 0.857074i −0.0193447 + 0.0381771i
\(505\) −0.998216 −0.0444200
\(506\) 10.5752 1.82055i 0.470124 0.0809331i
\(507\) 5.69649 + 9.86660i 0.252990 + 0.438191i
\(508\) 12.3717 + 11.7964i 0.548905 + 0.523380i
\(509\) −4.18719 + 0.807014i −0.185594 + 0.0357703i −0.281201 0.959649i \(-0.590733\pi\)
0.0956073 + 0.995419i \(0.469521\pi\)
\(510\) 0.700388 0.450112i 0.0310137 0.0199313i
\(511\) −27.6329 + 12.8540i −1.22241 + 0.568626i
\(512\) −25.6072 16.4567i −1.13169 0.727292i
\(513\) −2.76136 3.87779i −0.121917 0.171209i
\(514\) 39.8990 + 7.68990i 1.75987 + 0.339187i
\(515\) −0.879718 + 0.352186i −0.0387650 + 0.0155192i
\(516\) 11.6797 + 1.11527i 0.514168 + 0.0490971i
\(517\) −3.88943 1.14204i −0.171057 0.0502269i
\(518\) 0.202063 + 28.8760i 0.00887812 + 1.26874i
\(519\) −6.28391 13.7598i −0.275833 0.603990i
\(520\) −0.0500135 0.0393311i −0.00219324 0.00172478i
\(521\) 8.57252 + 1.65222i 0.375569 + 0.0723849i 0.373543 0.927613i \(-0.378143\pi\)
0.00202608 + 0.999998i \(0.499355\pi\)
\(522\) 10.2837 0.981975i 0.450106 0.0429799i
\(523\) −14.3698 + 7.40814i −0.628347 + 0.323935i −0.742820 0.669491i \(-0.766512\pi\)
0.114473 + 0.993426i \(0.463482\pi\)
\(524\) 1.09477 + 7.61427i 0.0478251 + 0.332631i
\(525\) −2.40339 + 12.9572i −0.104892 + 0.565499i
\(526\) 12.4460 + 14.3634i 0.542671 + 0.626275i
\(527\) 1.37842 5.68193i 0.0600450 0.247509i
\(528\) 2.48465 + 4.30353i 0.108130 + 0.187287i
\(529\) 21.6760 7.69109i 0.942433 0.334395i
\(530\) −1.39348 + 2.41358i −0.0605289 + 0.104839i
\(531\) 8.29320 2.43510i 0.359894 0.105674i
\(532\) −10.6115 20.2345i −0.460065 0.877275i
\(533\) −4.29653 + 2.76121i −0.186103 + 0.119601i
\(534\) −6.00766 2.40510i −0.259977 0.104079i
\(535\) −0.0746362 + 1.56681i −0.00322680 + 0.0677390i
\(536\) 1.49359 0.142620i 0.0645132 0.00616027i
\(537\) 5.53098 + 15.9807i 0.238679 + 0.689618i
\(538\) −1.85989 + 12.9358i −0.0801856 + 0.557703i
\(539\) 7.07627 3.77434i 0.304797 0.162572i
\(540\) −0.240558 0.0706343i −0.0103520 0.00303961i
\(541\) −20.0021 + 19.0720i −0.859957 + 0.819967i −0.985066 0.172176i \(-0.944920\pi\)
0.125109 + 0.992143i \(0.460072\pi\)
\(542\) 23.7270 33.3199i 1.01916 1.43121i
\(543\) −4.77054 + 1.90984i −0.204723 + 0.0819589i
\(544\) 7.81285 + 22.5737i 0.334973 + 0.967841i
\(545\) 0.0770281 0.168668i 0.00329952 0.00722495i
\(546\) 4.55321 + 4.70885i 0.194859 + 0.201520i
\(547\) −5.48200 38.1281i −0.234393 1.63024i −0.678735 0.734383i \(-0.737471\pi\)
0.444342 0.895857i \(-0.353438\pi\)
\(548\) 0.993604 + 20.8583i 0.0424447 + 0.891023i
\(549\) 2.21524 6.40052i 0.0945442 0.273168i
\(550\) 8.06589 + 7.69081i 0.343931 + 0.327937i
\(551\) 12.5907 21.8078i 0.536382 0.929042i
\(552\) 1.11409 + 1.33870i 0.0474188 + 0.0569788i
\(553\) 19.3168 20.5448i 0.821433 0.873653i
\(554\) 42.1736 12.3833i 1.79179 0.526116i
\(555\) 0.758429 0.146175i 0.0321935 0.00620480i
\(556\) −10.0077 5.15932i −0.424421 0.218804i
\(557\) 7.96254 6.26181i 0.337383 0.265321i −0.435065 0.900399i \(-0.643274\pi\)
0.772448 + 0.635078i \(0.219032\pi\)
\(558\) −3.29033 + 1.69628i −0.139291 + 0.0718094i
\(559\) −3.40601 + 7.45813i −0.144059 + 0.315445i
\(560\) 1.44724 + 0.648733i 0.0611572 + 0.0274140i
\(561\) 0.502934 3.49799i 0.0212339 0.147685i
\(562\) −13.0874 1.24969i −0.552057 0.0527151i
\(563\) −3.53934 14.5894i −0.149165 0.614868i −0.996484 0.0837832i \(-0.973300\pi\)
0.847319 0.531085i \(-0.178215\pi\)
\(564\) 1.51317 + 6.23738i 0.0637161 + 0.262641i
\(565\) −1.90830 0.182221i −0.0802828 0.00766607i
\(566\) −0.697884 + 4.85389i −0.0293343 + 0.204024i
\(567\) −2.41429 1.08222i −0.101391 0.0454489i
\(568\) 0.406850 0.890877i 0.0170710 0.0373804i
\(569\) 13.7152 7.07069i 0.574972 0.296419i −0.146110 0.989268i \(-0.546675\pi\)
0.721082 + 0.692850i \(0.243645\pi\)
\(570\) −1.01001 + 0.794284i −0.0423048 + 0.0332689i
\(571\) 8.75026 + 4.51107i 0.366187 + 0.188782i 0.631493 0.775382i \(-0.282443\pi\)
−0.265306 + 0.964164i \(0.585473\pi\)
\(572\) 2.58710 0.498622i 0.108172 0.0208484i
\(573\) −13.0295 + 3.82581i −0.544316 + 0.159826i
\(574\) 14.2597 15.1662i 0.595189 0.633026i
\(575\) 19.8343 + 13.3123i 0.827147 + 0.555159i
\(576\) 3.22483 5.58557i 0.134368 0.232732i
\(577\) −18.3041 17.4530i −0.762011 0.726576i 0.205707 0.978614i \(-0.434051\pi\)
−0.967717 + 0.252038i \(0.918899\pi\)
\(578\) −4.78148 + 13.8152i −0.198883 + 0.574636i
\(579\) 1.00739 + 21.1478i 0.0418659 + 0.878873i
\(580\) −0.188737 1.31269i −0.00783686 0.0545066i
\(581\) −20.9266 21.6419i −0.868181 0.897858i
\(582\) 13.9048 30.4472i 0.576372 1.26208i
\(583\) 3.86918 + 11.1793i 0.160245 + 0.462997i
\(584\) −3.88353 + 1.55473i −0.160702 + 0.0643353i
\(585\) 0.101628 0.142716i 0.00420178 0.00590058i
\(586\) 42.8263 40.8348i 1.76914 1.68687i
\(587\) 37.4782 + 11.0046i 1.54689 + 0.454208i 0.940169 0.340708i \(-0.110667\pi\)
0.606720 + 0.794915i \(0.292485\pi\)
\(588\) −10.7775 6.71507i −0.444459 0.276925i
\(589\) −1.28419 + 8.93171i −0.0529140 + 0.368025i
\(590\) −0.763029 2.20463i −0.0314134 0.0907631i
\(591\) 14.1907 1.35505i 0.583728 0.0557392i
\(592\) −1.15337 + 24.2123i −0.0474033 + 0.995118i
\(593\) −22.4458 8.98595i −0.921739 0.369009i −0.138238 0.990399i \(-0.544144\pi\)
−0.783501 + 0.621390i \(0.786568\pi\)
\(594\) −1.88232 + 1.20969i −0.0772323 + 0.0496342i
\(595\) −0.523832 0.998869i −0.0214750 0.0409496i
\(596\) −13.8724 + 4.07331i −0.568237 + 0.166849i
\(597\) −9.91043 + 17.1654i −0.405607 + 0.702532i
\(598\) 11.1084 4.19242i 0.454257 0.171441i
\(599\) −1.82127 3.15454i −0.0744153 0.128891i 0.826417 0.563059i \(-0.190376\pi\)
−0.900832 + 0.434168i \(0.857042\pi\)
\(600\) −0.426452 + 1.75786i −0.0174098 + 0.0717643i
\(601\) 21.0350 + 24.2757i 0.858036 + 0.990226i 1.00000 0.000354186i \(0.000112741\pi\)
−0.141964 + 0.989872i \(0.545342\pi\)
\(602\) 6.09483 32.8586i 0.248407 1.33922i
\(603\) 0.587974 + 4.08945i 0.0239441 + 0.166535i
\(604\) 29.3982 15.1558i 1.19619 0.616681i
\(605\) 1.33280 0.127267i 0.0541859 0.00517413i
\(606\) 13.8506 + 2.66948i 0.562641 + 0.108440i
\(607\) 5.14919 + 4.04936i 0.208999 + 0.164359i 0.717172 0.696897i \(-0.245436\pi\)
−0.508173 + 0.861255i \(0.669679\pi\)
\(608\) −15.3150 33.5352i −0.621106 1.36003i
\(609\) −0.0979298 13.9948i −0.00396832 0.567097i
\(610\) −1.75407 0.515042i −0.0710204 0.0208535i
\(611\) −4.46491 0.426347i −0.180631 0.0172481i
\(612\) −5.19467 + 2.07963i −0.209982 + 0.0840641i
\(613\) −5.02572 0.968628i −0.202987 0.0391225i 0.0867442 0.996231i \(-0.472354\pi\)
−0.289731 + 0.957108i \(0.593566\pi\)
\(614\) 14.6433 + 20.5636i 0.590954 + 0.829879i
\(615\) −0.468420 0.301036i −0.0188885 0.0121389i
\(616\) 0.998116 0.464292i 0.0402152 0.0187069i
\(617\) −25.9658 + 16.6872i −1.04534 + 0.671802i −0.946303 0.323282i \(-0.895214\pi\)
−0.0990408 + 0.995083i \(0.531577\pi\)
\(618\) 13.1482 2.53411i 0.528899 0.101937i
\(619\) 1.38992 + 1.32529i 0.0558657 + 0.0532679i 0.717498 0.696561i \(-0.245287\pi\)
−0.661632 + 0.749829i \(0.730136\pi\)
\(620\) 0.237615 + 0.411561i 0.00954284 + 0.0165287i
\(621\) −3.53613 + 3.23972i −0.141900 + 0.130005i
\(622\) −50.0816 −2.00809
\(623\) −3.96255 + 7.82016i −0.158756 + 0.313308i
\(624\) 3.60066 + 4.15539i 0.144142 + 0.166349i
\(625\) 1.17593 + 24.6859i 0.0470373 + 0.987434i
\(626\) −3.36707 + 2.64789i −0.134575 + 0.105831i
\(627\) −0.259518 + 5.44795i −0.0103641 + 0.217570i
\(628\) −10.6934 15.0168i −0.426714 0.599236i
\(629\) 11.2887 13.0278i 0.450109 0.519454i
\(630\) −0.260766 + 0.664808i −0.0103892 + 0.0264866i
\(631\) 11.3449 + 24.8419i 0.451634 + 0.988941i 0.989315 + 0.145793i \(0.0465733\pi\)
−0.537681 + 0.843148i \(0.680699\pi\)
\(632\) 2.80137 2.67110i 0.111432 0.106251i
\(633\) 3.94178 + 16.2483i 0.156672 + 0.645810i
\(634\) −28.5242 + 40.0567i −1.13284 + 1.59085i
\(635\) −1.02372 0.805066i −0.0406253 0.0319481i
\(636\) 12.2661 14.1558i 0.486382 0.561315i
\(637\) 6.89783 5.58250i 0.273302 0.221187i
\(638\) −9.95681 6.39885i −0.394194 0.253333i
\(639\) 2.50367 + 1.00232i 0.0990438 + 0.0396512i
\(640\) 0.355348 + 0.183195i 0.0140464 + 0.00724141i
\(641\) 10.5640 30.5226i 0.417253 1.20557i −0.519162 0.854676i \(-0.673756\pi\)
0.936414 0.350896i \(-0.114123\pi\)
\(642\) 5.22564 21.5404i 0.206239 0.850131i
\(643\) 16.8111 0.662963 0.331482 0.943462i \(-0.392452\pi\)
0.331482 + 0.943462i \(0.392452\pi\)
\(644\) −18.9206 + 13.1082i −0.745576 + 0.516536i
\(645\) −0.893886 −0.0351967
\(646\) −6.76087 + 27.8687i −0.266003 + 1.09648i
\(647\) −8.39366 + 24.2519i −0.329989 + 0.953441i 0.650949 + 0.759121i \(0.274371\pi\)
−0.980938 + 0.194319i \(0.937750\pi\)
\(648\) −0.322787 0.166408i −0.0126803 0.00653713i
\(649\) −9.19333 3.68045i −0.360870 0.144470i
\(650\) 10.3738 + 6.66686i 0.406895 + 0.261496i
\(651\) 1.89643 + 4.64264i 0.0743271 + 0.181960i
\(652\) 7.77588 8.97384i 0.304527 0.351443i
\(653\) −20.5888 16.1912i −0.805702 0.633611i 0.127955 0.991780i \(-0.459159\pi\)
−0.933657 + 0.358169i \(0.883401\pi\)
\(654\) −1.51985 + 2.13433i −0.0594309 + 0.0834590i
\(655\) −0.138172 0.569554i −0.00539883 0.0222543i
\(656\) 12.6468 12.0587i 0.493774 0.470813i
\(657\) −4.78514 10.4780i −0.186686 0.408785i
\(658\) 18.0769 2.72830i 0.704709 0.106360i
\(659\) 5.72108 6.60248i 0.222862 0.257196i −0.633297 0.773909i \(-0.718299\pi\)
0.856159 + 0.516712i \(0.172844\pi\)
\(660\) 0.166618 + 0.233982i 0.00648559 + 0.00910774i
\(661\) 2.04143 42.8549i 0.0794024 1.66686i −0.510870 0.859658i \(-0.670677\pi\)
0.590273 0.807204i \(-0.299020\pi\)
\(662\) −10.5050 + 8.26120i −0.408287 + 0.321081i
\(663\) −0.186055 3.90578i −0.00722579 0.151688i
\(664\) −2.70601 3.12290i −0.105013 0.121192i
\(665\) 0.951334 + 1.45777i 0.0368911 + 0.0565301i
\(666\) −10.9144 −0.422923
\(667\) −23.3587 9.89563i −0.904451 0.383160i
\(668\) −14.4027 24.9461i −0.557256 0.965195i
\(669\) 12.0012 + 11.4431i 0.463992 + 0.442415i
\(670\) 1.09499 0.211042i 0.0423032 0.00815327i
\(671\) −6.52804 + 4.19531i −0.252012 + 0.161958i
\(672\) −16.7730 11.7680i −0.647033 0.453960i
\(673\) −26.0596 16.7475i −1.00452 0.645568i −0.0685532 0.997647i \(-0.521838\pi\)
−0.935970 + 0.352080i \(0.885475\pi\)
\(674\) −20.2252 28.4024i −0.779047 1.09402i
\(675\) −4.89089 0.942641i −0.188250 0.0362823i
\(676\) −19.1870 + 7.68130i −0.737960 + 0.295434i
\(677\) 19.4952 + 1.86156i 0.749261 + 0.0715457i 0.462698 0.886516i \(-0.346881\pi\)
0.286562 + 0.958062i \(0.407487\pi\)
\(678\) 25.9910 + 7.63164i 0.998178 + 0.293091i
\(679\) −39.4284 22.3976i −1.51312 0.859541i
\(680\) −0.0643125 0.140825i −0.00246627 0.00540038i
\(681\) −7.85281 6.17552i −0.300920 0.236646i
\(682\) 4.16457 + 0.802656i 0.159470 + 0.0307353i
\(683\) −44.9029 + 4.28771i −1.71816 + 0.164065i −0.907106 0.420903i \(-0.861713\pi\)
−0.811057 + 0.584967i \(0.801107\pi\)
\(684\) 7.67578 3.95714i 0.293491 0.151305i
\(685\) −0.226414 1.57474i −0.00865082 0.0601678i
\(686\) −21.7567 + 28.8940i −0.830673 + 1.10318i
\(687\) −7.99835 9.23059i −0.305156 0.352169i
\(688\) 6.61367 27.2619i 0.252144 1.03935i
\(689\) 6.54470 + 11.3358i 0.249333 + 0.431858i
\(690\) 0.918864 + 0.911757i 0.0349805 + 0.0347100i
\(691\) −10.3304 + 17.8927i −0.392986 + 0.680672i −0.992842 0.119436i \(-0.961891\pi\)
0.599856 + 0.800108i \(0.295225\pi\)
\(692\) 26.3292 7.73096i 1.00089 0.293887i
\(693\) 1.40782 + 2.68450i 0.0534786 + 0.101976i
\(694\) 5.01310 3.22172i 0.190295 0.122295i
\(695\) 0.796368 + 0.318818i 0.0302080 + 0.0120934i
\(696\) 0.0914037 1.91880i 0.00346465 0.0727320i
\(697\) −12.3708 + 1.18127i −0.468577 + 0.0447437i
\(698\) −4.14891 11.9875i −0.157038 0.453733i
\(699\) −1.39153 + 9.67829i −0.0526324 + 0.366066i
\(700\) −22.6453 7.66059i −0.855911 0.289543i
\(701\) −8.57399 2.51755i −0.323835 0.0950866i 0.115774 0.993276i \(-0.463065\pi\)
−0.439610 + 0.898189i \(0.644883\pi\)
\(702\) −1.79178 + 1.70845i −0.0676262 + 0.0644815i
\(703\) −15.4322 + 21.6715i −0.582038 + 0.817358i
\(704\) −6.86008 + 2.74636i −0.258549 + 0.103507i
\(705\) −0.159933 0.462097i −0.00602344 0.0174036i
\(706\) −10.7489 + 23.5369i −0.404541 + 0.885822i
\(707\) 5.25527 18.3724i 0.197645 0.690966i
\(708\) 2.23141 + 15.5198i 0.0838615 + 0.583269i
\(709\) 1.60981 + 33.7941i 0.0604578 + 1.26917i 0.801618 + 0.597837i \(0.203973\pi\)
−0.741160 + 0.671328i \(0.765724\pi\)
\(710\) 0.238078 0.687880i 0.00893489 0.0258157i
\(711\) 7.71392 + 7.35521i 0.289295 + 0.275842i
\(712\) −0.601667 + 1.04212i −0.0225484 + 0.0390550i
\(713\) 9.08872 + 0.181051i 0.340375 + 0.00678043i
\(714\) 4.59712 + 15.2605i 0.172043 + 0.571110i
\(715\) −0.192600 + 0.0565523i −0.00720282 + 0.00211494i
\(716\) −30.1226 + 5.80566i −1.12573 + 0.216968i
\(717\) 8.72303 + 4.49704i 0.325768 + 0.167945i
\(718\) 21.4175 16.8429i 0.799294 0.628571i
\(719\) 32.2588 16.6306i 1.20305 0.620215i 0.264175 0.964475i \(-0.414900\pi\)
0.938874 + 0.344260i \(0.111870\pi\)
\(720\) −0.249020 + 0.545277i −0.00928042 + 0.0203213i
\(721\) −1.85066 18.0456i −0.0689221 0.672053i
\(722\) 1.01790 7.07966i 0.0378824 0.263478i
\(723\) −3.46673 0.331033i −0.128929 0.0123112i
\(724\) −2.19768 9.05895i −0.0816761 0.336673i
\(725\) −6.21160 25.6046i −0.230693 0.950930i
\(726\) −18.8334 1.79837i −0.698971 0.0667437i
\(727\) −2.38644 + 16.5981i −0.0885083 + 0.615589i 0.896495 + 0.443054i \(0.146105\pi\)
−0.985003 + 0.172535i \(0.944804\pi\)
\(728\) 0.987203 0.713447i 0.0365882 0.0264421i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) −2.76348 + 1.42467i −0.102281 + 0.0527295i
\(731\) −15.6817 + 12.3322i −0.580009 + 0.456124i
\(732\) 10.9208 + 5.63005i 0.403643 + 0.208093i
\(733\) −32.7915 + 6.32005i −1.21118 + 0.233436i −0.754564 0.656227i \(-0.772152\pi\)
−0.456618 + 0.889663i \(0.650939\pi\)
\(734\) −18.0087 + 5.28782i −0.664712 + 0.195177i
\(735\) 0.866022 + 0.431233i 0.0319437 + 0.0159063i
\(736\) −31.6382 + 19.4533i −1.16620 + 0.717060i
\(737\) 2.36674 4.09931i 0.0871799 0.151000i
\(738\) 5.69444 + 5.42964i 0.209615 + 0.199868i
\(739\) −10.9439 + 31.6203i −0.402578 + 1.16317i 0.543549 + 0.839377i \(0.317080\pi\)
−0.946127 + 0.323795i \(0.895041\pi\)
\(740\) 0.0666693 + 1.39956i 0.00245081 + 0.0514489i
\(741\) 0.858844 + 5.97339i 0.0315504 + 0.219438i
\(742\) −37.0864 38.3541i −1.36148 1.40802i
\(743\) 12.4266 27.2104i 0.455887 0.998254i −0.532519 0.846418i \(-0.678754\pi\)
0.988406 0.151836i \(-0.0485184\pi\)
\(744\) 0.225143 + 0.650507i 0.00825413 + 0.0238487i
\(745\) 1.02261 0.409393i 0.0374657 0.0149990i
\(746\) −7.56099 + 10.6179i −0.276827 + 0.388750i
\(747\) 8.23502 7.85208i 0.301304 0.287292i
\(748\) 6.15109 + 1.80612i 0.224906 + 0.0660383i
\(749\) −28.4446 9.62241i −1.03934 0.351595i
\(750\) −0.383392 + 2.66655i −0.0139995 + 0.0973685i
\(751\) 2.36029 + 6.81961i 0.0861282 + 0.248851i 0.979838 0.199795i \(-0.0640276\pi\)
−0.893710 + 0.448646i \(0.851906\pi\)
\(752\) 15.2765 1.45873i 0.557075 0.0531942i
\(753\) 0.858132 18.0144i 0.0312721 0.656481i
\(754\) −12.1577 4.86722i −0.442758 0.177254i
\(755\) −2.11986 + 1.36235i −0.0771495 + 0.0495810i
\(756\) 2.56650 4.05567i 0.0933427 0.147503i
\(757\) −16.6218 + 4.88059i −0.604128 + 0.177388i −0.569471 0.822011i \(-0.692852\pi\)
−0.0346570 + 0.999399i \(0.511034\pi\)
\(758\) 32.3805 56.0846i 1.17611 2.03709i
\(759\) 5.47904 0.413254i 0.198877 0.0150002i
\(760\) 0.119467 + 0.206922i 0.00433351 + 0.00750586i
\(761\) 8.84096 36.4429i 0.320485 1.32106i −0.552584 0.833457i \(-0.686358\pi\)
0.873068 0.487598i \(-0.162127\pi\)
\(762\) 12.0516 + 13.9083i 0.436582 + 0.503843i
\(763\) 2.69885 + 2.30570i 0.0977050 + 0.0834720i
\(764\) −3.50579 24.3833i −0.126835 0.882157i
\(765\) 0.378913 0.195343i 0.0136996 0.00706265i
\(766\) −70.8147 + 6.76199i −2.55864 + 0.244321i
\(767\) −10.7590 2.07363i −0.388485 0.0748743i
\(768\) −14.5802 11.4660i −0.526118 0.413744i
\(769\) 21.2698 + 46.5743i 0.767007 + 1.67951i 0.733133 + 0.680085i \(0.238057\pi\)
0.0338739 + 0.999426i \(0.489216\pi\)
\(770\) 0.705677 0.414034i 0.0254308 0.0149207i
\(771\) 19.9632 + 5.86173i 0.718958 + 0.211105i
\(772\) −38.2327 3.65078i −1.37603 0.131395i
\(773\) −31.9706 + 12.7991i −1.14990 + 0.460351i −0.866759 0.498726i \(-0.833801\pi\)
−0.283143 + 0.959078i \(0.591377\pi\)
\(774\) 12.4030 + 2.39048i 0.445815 + 0.0859239i
\(775\) 5.47651 + 7.69068i 0.196722 + 0.276257i
\(776\) −5.23613 3.36506i −0.187966 0.120799i
\(777\) −1.30248 + 14.7287i −0.0467262 + 0.528388i
\(778\) 4.72789 3.03843i 0.169503 0.108933i
\(779\) 18.8327 3.62970i 0.674751 0.130048i
\(780\) 0.230022 + 0.219325i 0.00823610 + 0.00785310i
\(781\) −1.54490 2.67584i −0.0552808 0.0957492i
\(782\) 28.6987 + 3.31839i 1.02626 + 0.118665i
\(783\) 5.28966 0.189037
\(784\) −19.5594 + 23.2215i −0.698548 + 0.829340i
\(785\) 0.919764 + 1.06146i 0.0328278 + 0.0378853i
\(786\) 0.394056 + 8.27225i 0.0140555 + 0.295061i
\(787\) −15.3003 + 12.0323i −0.545395 + 0.428903i −0.852466 0.522783i \(-0.824894\pi\)
0.307070 + 0.951687i \(0.400651\pi\)
\(788\) −1.23045 + 25.8304i −0.0438331 + 0.920171i
\(789\) 5.64492 + 7.92718i 0.200965 + 0.282215i
\(790\) 1.88394 2.17419i 0.0670277 0.0773541i
\(791\) 13.4004 34.1634i 0.476462 1.21471i
\(792\) 0.172842 + 0.378471i 0.00614167 + 0.0134484i
\(793\) −6.21404 + 5.92507i −0.220667 + 0.210405i
\(794\) 5.65283 + 23.3013i 0.200611 + 0.826931i
\(795\) −0.827768 + 1.16244i −0.0293579 + 0.0412274i
\(796\) −28.2633 22.2265i −1.00177 0.787798i
\(797\) −0.598152 + 0.690304i −0.0211876 + 0.0244518i −0.766244 0.642549i \(-0.777877\pi\)
0.745057 + 0.667001i \(0.232422\pi\)
\(798\) −9.30162 22.7712i −0.329274 0.806092i
\(799\) −9.18095 5.90024i −0.324799 0.208735i
\(800\) −35.8105 14.3364i −1.26609 0.506867i
\(801\) −2.94519 1.51835i −0.104063 0.0536483i
\(802\) 11.9291 34.4669i 0.421232 1.21707i
\(803\) −3.11138 + 12.8253i −0.109798 + 0.452594i
\(804\) −7.49474 −0.264319
\(805\) 1.34005 1.13118i 0.0472304 0.0398687i
\(806\) 4.69278 0.165296
\(807\) −1.57766 + 6.50319i −0.0555362 + 0.228923i
\(808\) 0.857882 2.47869i 0.0301802 0.0871999i
\(809\) −15.5694 8.02658i −0.547391 0.282200i 0.162266 0.986747i \(-0.448120\pi\)
−0.709657 + 0.704547i \(0.751150\pi\)
\(810\) −0.250578 0.100316i −0.00880441 0.00352475i
\(811\) −2.70585 1.73894i −0.0950153 0.0610626i 0.492270 0.870442i \(-0.336167\pi\)
−0.587286 + 0.809380i \(0.699803\pi\)
\(812\) 25.1541 + 3.43713i 0.882735 + 0.120620i
\(813\) 13.7160 15.8291i 0.481042 0.555152i
\(814\) 9.82931 + 7.72985i 0.344517 + 0.270931i
\(815\) −0.524749 + 0.736908i −0.0183812 + 0.0258127i
\(816\) 3.15413 + 13.0015i 0.110416 + 0.455143i
\(817\) 22.2835 21.2473i 0.779602 0.743349i
\(818\) 27.2692 + 59.7112i 0.953445 + 2.08775i
\(819\) 2.09169 + 2.62183i 0.0730896 + 0.0916143i
\(820\) 0.661465 0.763371i 0.0230993 0.0266581i
\(821\) 11.8487 + 16.6392i 0.413524 + 0.580713i 0.967832 0.251599i \(-0.0809563\pi\)
−0.554308 + 0.832312i \(0.687017\pi\)
\(822\) −1.06969 + 22.4556i −0.0373097 + 0.783227i
\(823\) 29.0393 22.8368i 1.01225 0.796039i 0.0331530 0.999450i \(-0.489445\pi\)
0.979093 + 0.203411i \(0.0652027\pi\)
\(824\) −0.118476 2.48712i −0.00412731 0.0866428i
\(825\) 3.73705 + 4.31279i 0.130107 + 0.150152i
\(826\) 44.5938 2.43713i 1.55162 0.0847985i
\(827\) 8.17293 0.284201 0.142100 0.989852i \(-0.454614\pi\)
0.142100 + 0.989852i \(0.454614\pi\)
\(828\) −4.90427 7.18580i −0.170435 0.249724i
\(829\) 9.05927 + 15.6911i 0.314641 + 0.544975i 0.979361 0.202118i \(-0.0647824\pi\)
−0.664720 + 0.747093i \(0.731449\pi\)
\(830\) −2.22273 2.11937i −0.0771522 0.0735645i
\(831\) 22.0997 4.25937i 0.766630 0.147756i
\(832\) −6.87820 + 4.42035i −0.238459 + 0.153248i
\(833\) 21.1422 4.38256i 0.732535 0.151847i
\(834\) −10.1973 6.55339i −0.353103 0.226925i
\(835\) 1.27299 + 1.78766i 0.0440536 + 0.0618646i
\(836\) −9.71525 1.87246i −0.336009 0.0647604i
\(837\) −1.75973 + 0.704488i −0.0608251 + 0.0243507i
\(838\) 28.4584 + 2.71745i 0.983079 + 0.0938727i
\(839\) 34.9135 + 10.2515i 1.20535 + 0.353922i 0.821895 0.569639i \(-0.192917\pi\)
0.383452 + 0.923561i \(0.374735\pi\)
\(840\) 0.115463 + 0.0655899i 0.00398386 + 0.00226306i
\(841\) −0.423523 0.927385i −0.0146042 0.0319788i
\(842\) −48.9555 38.4990i −1.68712 1.32676i
\(843\) −6.61013 1.27400i −0.227665 0.0438788i
\(844\) −30.1927 + 2.88306i −1.03928 + 0.0992389i
\(845\) 1.39955 0.721518i 0.0481460 0.0248210i
\(846\) 0.983366 + 6.83946i 0.0338088 + 0.235145i
\(847\) −4.67435 + 25.2005i −0.160613 + 0.865900i
\(848\) −29.3278 33.8461i −1.00712 1.16228i
\(849\) −0.591982 + 2.44018i −0.0203168 + 0.0837468i
\(850\) 15.0024 + 25.9848i 0.514577 + 0.891273i
\(851\) 23.5734 + 12.7535i 0.808084 + 0.437184i
\(852\) −2.44611 + 4.23679i −0.0838024 + 0.145150i
\(853\) −8.93826 + 2.62451i −0.306040 + 0.0898615i −0.431147 0.902282i \(-0.641891\pi\)
0.125107 + 0.992143i \(0.460073\pi\)
\(854\) 18.7141 29.5727i 0.640383 1.01196i
\(855\) −0.553489 + 0.355706i −0.0189289 + 0.0121649i
\(856\) −3.82642 1.53187i −0.130784 0.0523581i
\(857\) −1.05422 + 22.1308i −0.0360114 + 0.755973i 0.906582 + 0.422030i \(0.138682\pi\)
−0.942593 + 0.333943i \(0.891621\pi\)
\(858\) 2.82362 0.269623i 0.0963967 0.00920477i
\(859\) −8.59695 24.8393i −0.293324 0.847505i −0.991328 0.131411i \(-0.958049\pi\)
0.698004 0.716094i \(-0.254072\pi\)
\(860\) 0.230771 1.60505i 0.00786922 0.0547316i
\(861\) 8.00671 7.03655i 0.272868 0.239805i
\(862\) −53.0772 15.5849i −1.80782 0.530823i
\(863\) −18.2757 + 17.4259i −0.622113 + 0.593183i −0.934147 0.356887i \(-0.883838\pi\)
0.312035 + 0.950071i \(0.398990\pi\)
\(864\) 4.49214 6.30832i 0.152826 0.214614i
\(865\) −1.94087 + 0.777009i −0.0659917 + 0.0264191i
\(866\) 26.2047 + 75.7135i 0.890472 + 2.57285i
\(867\) −3.10967 + 6.80922i −0.105610 + 0.231253i
\(868\) −8.82585 + 2.20663i −0.299569 + 0.0748980i
\(869\) −1.73788 12.0872i −0.0589534 0.410030i
\(870\) −0.0679348 1.42613i −0.00230321 0.0483502i
\(871\) 1.71300 4.94939i 0.0580428 0.167704i
\(872\) 0.352623 + 0.336226i 0.0119413 + 0.0113860i
\(873\) 8.56957 14.8429i 0.290036 0.502357i
\(874\) −44.5783 0.888020i −1.50788 0.0300377i
\(875\) 3.55268 + 0.835593i 0.120103 + 0.0282482i
\(876\) 20.0495 5.88705i 0.677409 0.198905i
\(877\) 51.0344 9.83608i 1.72331 0.332141i 0.770899 0.636958i \(-0.219807\pi\)
0.952411 + 0.304817i \(0.0985952\pi\)
\(878\) 22.8137 + 11.7613i 0.769926 + 0.396924i
\(879\) 23.8172 18.7300i 0.803334 0.631749i
\(880\) 0.610444 0.314706i 0.0205781 0.0106087i
\(881\) 18.1629 39.7711i 0.611922 1.33992i −0.309329 0.950955i \(-0.600104\pi\)
0.921251 0.388968i \(-0.127168\pi\)
\(882\) −10.8631 8.29946i −0.365780 0.279457i
\(883\) 3.73556 25.9814i 0.125712 0.874344i −0.825191 0.564854i \(-0.808933\pi\)
0.950903 0.309490i \(-0.100158\pi\)
\(884\) 7.06119 + 0.674262i 0.237494 + 0.0226779i
\(885\) −0.281629 1.16089i −0.00946687 0.0390230i
\(886\) −4.59260 18.9310i −0.154291 0.635998i
\(887\) 32.8917 + 3.14078i 1.10440 + 0.105457i 0.631289 0.775548i \(-0.282526\pi\)
0.473107 + 0.881005i \(0.343132\pi\)
\(888\) −0.288835 + 2.00889i −0.00969268 + 0.0674140i
\(889\) 20.2070 14.6035i 0.677721 0.489786i
\(890\) −0.371532 + 0.813543i −0.0124538 + 0.0272700i
\(891\) −1.01834 + 0.524992i −0.0341158 + 0.0175879i
\(892\) −23.6453 + 18.5949i −0.791704 + 0.622603i
\(893\) 14.9708 + 7.71800i 0.500980 + 0.258273i
\(894\) −15.2839 + 2.94574i −0.511171 + 0.0985202i
\(895\) 2.24251 0.658462i 0.0749590 0.0220099i
\(896\) −5.24254 + 5.57582i −0.175141 + 0.186275i
\(897\) 5.86630 1.59630i 0.195870 0.0532990i
\(898\) 17.2690 29.9107i 0.576273 0.998134i
\(899\) −7.25658 6.91913i −0.242020 0.230766i
\(900\) 2.95525 8.53864i 0.0985084 0.284621i
\(901\) 1.51544 + 31.8130i 0.0504866 + 1.05985i
\(902\) −1.28291 8.92281i −0.0427161 0.297097i
\(903\) 4.70601 16.4522i 0.156606 0.547495i
\(904\) 2.09250 4.58193i 0.0695954 0.152393i
\(905\) 0.232282 + 0.671134i 0.00772130 + 0.0223092i
\(906\) 33.0570 13.2340i 1.09824 0.439671i
\(907\) 22.0522 30.9680i 0.732232 1.02828i −0.265704 0.964055i \(-0.585604\pi\)
0.997936 0.0642207i \(-0.0204562\pi\)
\(908\) 13.1160 12.5061i 0.435269 0.415028i
\(909\) 6.93006 + 2.03485i 0.229855 + 0.0674917i
\(910\) 0.680000 0.597606i 0.0225418 0.0198104i
\(911\) −2.00018 + 13.9116i −0.0662691 + 0.460911i 0.929485 + 0.368860i \(0.120252\pi\)
−0.995754 + 0.0920519i \(0.970657\pi\)
\(912\) −6.75325 19.5122i −0.223622 0.646115i
\(913\) −12.9774 + 1.23919i −0.429489 + 0.0410112i
\(914\) −1.14251 + 23.9843i −0.0377909 + 0.793329i
\(915\) −0.869027 0.347906i −0.0287291 0.0115014i
\(916\) 18.6392 11.9787i 0.615856 0.395787i
\(917\) 11.2102 + 0.455412i 0.370194 + 0.0150390i
\(918\) −5.77994 + 1.69714i −0.190767 + 0.0560141i
\(919\) −2.53830 + 4.39647i −0.0837310 + 0.145026i −0.904850 0.425731i \(-0.860017\pi\)
0.821119 + 0.570757i \(0.193350\pi\)
\(920\) 0.192134 0.144997i 0.00633448 0.00478041i
\(921\) 6.46315 + 11.1945i 0.212968 + 0.368871i
\(922\) −12.9810 + 53.5083i −0.427505 + 1.76220i
\(923\) −2.23881 2.58373i −0.0736915 0.0850445i
\(924\) −5.18369 + 1.83481i −0.170531 + 0.0603608i
\(925\) 3.96153 + 27.5531i 0.130254 + 0.905940i
\(926\) −22.6547 + 11.6793i −0.744480 + 0.383806i
\(927\) 6.82532 0.651739i 0.224173 0.0214059i
\(928\) 40.2244 + 7.75263i 1.32043 + 0.254492i
\(929\) 7.12570 + 5.60371i 0.233786 + 0.183852i 0.728179 0.685387i \(-0.240367\pi\)
−0.494392 + 0.869239i \(0.664609\pi\)
\(930\) 0.212535 + 0.465386i 0.00696929 + 0.0152606i
\(931\) −31.8392 + 9.83485i −1.04349 + 0.322324i
\(932\) −17.0189 4.99721i −0.557474 0.163689i
\(933\) −25.5278 2.43761i −0.835744 0.0798038i
\(934\) 27.8558 11.1518i 0.911471 0.364898i
\(935\) −0.479591 0.0924335i −0.0156843 0.00302290i
\(936\) 0.267040 + 0.375005i 0.00872848 + 0.0122574i
\(937\) 31.5139 + 20.2528i 1.02952 + 0.661630i 0.942372 0.334566i \(-0.108590\pi\)
0.0871434 + 0.996196i \(0.472226\pi\)
\(938\) −1.88047 + 21.2646i −0.0613995 + 0.694315i
\(939\) −1.84516 + 1.18581i −0.0602145 + 0.0386975i
\(940\) 0.871024 0.167876i 0.0284097 0.00547551i
\(941\) −0.875609 0.834892i −0.0285441 0.0272167i 0.675673 0.737202i \(-0.263853\pi\)
−0.704217 + 0.709985i \(0.748702\pi\)
\(942\) −9.92341 17.1878i −0.323322 0.560010i
\(943\) −5.95457 18.3812i −0.193908 0.598573i
\(944\) 37.4889 1.22016
\(945\) −0.165277 + 0.326177i −0.00537647 + 0.0106105i
\(946\) −9.47691 10.9369i −0.308121 0.355591i
\(947\) 2.44003 + 51.2225i 0.0792903 + 1.66451i 0.591994 + 0.805942i \(0.298341\pi\)
−0.512704 + 0.858566i \(0.671356\pi\)
\(948\) −15.1984 + 11.9521i −0.493620 + 0.388187i
\(949\) −0.694809 + 14.5858i −0.0225545 + 0.473477i
\(950\) −26.8611 37.7212i −0.871490 1.22384i
\(951\) −16.4892 + 19.0295i −0.534698 + 0.617075i
\(952\) 2.93050 0.442293i 0.0949780 0.0143348i
\(953\) 19.1946 + 42.0303i 0.621774 + 1.36150i 0.914222 + 0.405214i \(0.132803\pi\)
−0.292448 + 0.956281i \(0.594470\pi\)
\(954\) 14.5942 13.9155i 0.472505 0.450532i
\(955\) 0.442471 + 1.82389i 0.0143180 + 0.0590197i
\(956\) −10.3268 + 14.5020i −0.333992 + 0.469027i
\(957\) −4.76378 3.74628i −0.153991 0.121100i
\(958\) 35.4309 40.8895i 1.14472 1.32108i
\(959\) 30.1755 + 4.12328i 0.974419 + 0.133148i
\(960\) −0.749882 0.481920i −0.0242023 0.0155539i
\(961\) −25.4438 10.1862i −0.820769 0.328586i
\(962\) 12.2979 + 6.34002i 0.396501 + 0.204410i
\(963\) 3.71207 10.7253i 0.119620 0.345619i
\(964\) 1.48939 6.13934i 0.0479700 0.197735i
\(965\) 2.92609 0.0941941
\(966\) −21.6186 + 12.1118i −0.695568 + 0.389692i
\(967\) 50.9283 1.63774 0.818872 0.573976i \(-0.194600\pi\)
0.818872 + 0.573976i \(0.194600\pi\)
\(968\) −0.829408 + 3.41887i −0.0266582 + 0.109887i
\(969\) −4.80263 + 13.8763i −0.154283 + 0.445771i
\(970\) −4.11181 2.11979i −0.132022 0.0680622i
\(971\) 38.8107 + 15.5375i 1.24550 + 0.498621i 0.898387 0.439204i \(-0.144739\pi\)
0.347108 + 0.937825i \(0.387164\pi\)
\(972\) 1.52607 + 0.980748i 0.0489488 + 0.0314575i
\(973\) −10.0605 + 12.9789i −0.322526 + 0.416084i
\(974\) −3.93559 + 4.54192i −0.126105 + 0.145532i
\(975\) 4.96331 + 3.90319i 0.158953 + 0.125002i
\(976\) 17.0402 23.9297i 0.545445 0.765970i
\(977\) 9.97300 + 41.1093i 0.319065 + 1.31520i 0.875059 + 0.484016i \(0.160822\pi\)
−0.555995 + 0.831186i \(0.687663\pi\)
\(978\) 9.25175 8.82152i 0.295838 0.282081i
\(979\) 1.57705 + 3.45327i 0.0504029 + 0.110367i
\(980\) −0.997892 + 1.44368i −0.0318765 + 0.0461168i
\(981\) −0.878590 + 1.01395i −0.0280512 + 0.0323728i
\(982\) 17.7819 + 24.9712i 0.567445 + 0.796864i
\(983\) 0.443443 9.30902i 0.0141436 0.296912i −0.980702 0.195509i \(-0.937364\pi\)
0.994845 0.101402i \(-0.0323330\pi\)
\(984\) 1.15007 0.904428i 0.0366630 0.0288321i
\(985\) −0.0937447 1.96794i −0.00298695 0.0627039i
\(986\) −20.8669 24.0817i −0.664538 0.766918i
\(987\) 9.34702 0.510830i 0.297519 0.0162599i
\(988\) −10.9474 −0.348285
\(989\) −23.9952 19.6560i −0.763004 0.625023i
\(990\) 0.154620 + 0.267809i 0.00491414 + 0.00851154i
\(991\) −38.8250 37.0195i −1.23332 1.17596i −0.977887 0.209136i \(-0.932935\pi\)
−0.255429 0.966828i \(-0.582217\pi\)
\(992\) −14.4141 + 2.77809i −0.457648 + 0.0882045i
\(993\) −5.75674 + 3.69963i −0.182685 + 0.117404i
\(994\) 11.4072 + 8.00333i 0.361815 + 0.253850i
\(995\) 2.30451 + 1.48102i 0.0730580 + 0.0469515i
\(996\) 11.9731 + 16.8138i 0.379381 + 0.532766i
\(997\) 50.4049 + 9.71474i 1.59634 + 0.307669i 0.908401 0.418101i \(-0.137304\pi\)
0.687938 + 0.725770i \(0.258516\pi\)
\(998\) 2.24862 0.900213i 0.0711790 0.0284958i
\(999\) −5.56333 0.531233i −0.176016 0.0168075i
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 483.2.y.b.331.4 yes 320
7.4 even 3 inner 483.2.y.b.193.4 320
23.18 even 11 inner 483.2.y.b.478.4 yes 320
161.18 even 33 inner 483.2.y.b.340.4 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.y.b.193.4 320 7.4 even 3 inner
483.2.y.b.331.4 yes 320 1.1 even 1 trivial
483.2.y.b.340.4 yes 320 161.18 even 33 inner
483.2.y.b.478.4 yes 320 23.18 even 11 inner