Properties

Label 882.2.bb.b.121.5
Level $882$
Weight $2$
Character 882.121
Analytic conductor $7.043$
Analytic rank $0$
Dimension $336$
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] = [882,2,Mod(25,882)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(882, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([28, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("882.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 882.bb (of order \(21\), degree \(12\), 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: \(7.04280545828\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 121.5
Character \(\chi\) \(=\) 882.121
Dual form 882.2.bb.b.277.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.900969 - 0.433884i) q^{2} +(-1.49776 + 0.869893i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-1.18698 + 0.366134i) q^{5} +(-0.972003 + 1.43360i) q^{6} +(-1.17475 - 2.37064i) q^{7} +(0.222521 - 0.974928i) q^{8} +(1.48657 - 2.60578i) q^{9} +O(q^{10})\) \(q+(0.900969 - 0.433884i) q^{2} +(-1.49776 + 0.869893i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-1.18698 + 0.366134i) q^{5} +(-0.972003 + 1.43360i) q^{6} +(-1.17475 - 2.37064i) q^{7} +(0.222521 - 0.974928i) q^{8} +(1.48657 - 2.60578i) q^{9} +(-0.910569 + 0.844885i) q^{10} +(-0.189845 + 2.53331i) q^{11} +(-0.253729 + 1.71337i) q^{12} +(-0.325293 + 4.34074i) q^{13} +(-2.08700 - 1.62617i) q^{14} +(1.45931 - 1.58092i) q^{15} +(-0.222521 - 0.974928i) q^{16} +(-0.110905 + 0.282581i) q^{17} +(0.208749 - 2.99273i) q^{18} +(-1.96935 + 3.41101i) q^{19} +(-0.453813 + 1.15630i) q^{20} +(3.82171 + 2.52875i) q^{21} +(0.928117 + 2.36480i) q^{22} +(5.05235 + 0.761520i) q^{23} +(0.514800 + 1.65378i) q^{24} +(-2.85634 + 1.94742i) q^{25} +(1.59030 + 4.05201i) q^{26} +(0.0402212 + 5.19600i) q^{27} +(-2.58589 - 0.559613i) q^{28} +(-2.44138 + 6.22054i) q^{29} +(0.628855 - 2.05753i) q^{30} -7.00968 q^{31} +(-0.623490 - 0.781831i) q^{32} +(-1.91936 - 3.95943i) q^{33} +(0.0226855 + 0.302717i) q^{34} +(2.26238 + 2.38378i) q^{35} +(-1.11042 - 2.78693i) q^{36} +(0.771345 - 0.116262i) q^{37} +(-0.294339 + 3.92768i) q^{38} +(-3.28877 - 6.78436i) q^{39} +(0.0928269 + 1.23869i) q^{40} +(-0.271297 - 0.251727i) q^{41} +(4.54042 + 0.620147i) q^{42} +(0.766546 - 0.711251i) q^{43} +(1.86225 + 1.72792i) q^{44} +(-0.810462 + 3.63729i) q^{45} +(4.88242 - 1.50603i) q^{46} +(-9.39103 + 4.52248i) q^{47} +(1.18137 + 1.26664i) q^{48} +(-4.23991 + 5.56984i) q^{49} +(-1.72852 + 2.99388i) q^{50} +(-0.0797063 - 0.519714i) q^{51} +(3.19091 + 2.96073i) q^{52} +(8.54924 + 1.28859i) q^{53} +(2.29070 + 4.66398i) q^{54} +(-0.702188 - 3.07649i) q^{55} +(-2.57261 + 0.617782i) q^{56} +(-0.0176023 - 6.82200i) q^{57} +(0.499382 + 6.66379i) q^{58} +(-0.142356 - 0.623703i) q^{59} +(-0.326151 - 2.12662i) q^{60} +(6.32234 + 7.92796i) q^{61} +(-6.31550 + 3.04139i) q^{62} +(-7.92374 - 0.462984i) q^{63} +(-0.900969 - 0.433884i) q^{64} +(-1.20317 - 5.27145i) q^{65} +(-3.44722 - 2.73455i) q^{66} -12.2784 q^{67} +(0.151783 + 0.262895i) q^{68} +(-8.22965 + 3.25443i) q^{69} +(3.07261 + 1.16610i) q^{70} +(5.11921 - 6.41929i) q^{71} +(-2.20966 - 2.02914i) q^{72} +(0.351603 + 4.69182i) q^{73} +(0.644514 - 0.439422i) q^{74} +(2.58406 - 5.40147i) q^{75} +(1.43897 + 3.66643i) q^{76} +(6.22860 - 2.52596i) q^{77} +(-5.90670 - 4.68555i) q^{78} -13.6995 q^{79} +(0.621081 + 1.07574i) q^{80} +(-4.58020 - 7.74737i) q^{81} +(-0.353650 - 0.109087i) q^{82} +(0.231367 + 3.08738i) q^{83} +(4.35985 - 1.41128i) q^{84} +(0.0281790 - 0.376023i) q^{85} +(0.382034 - 0.973407i) q^{86} +(-1.75460 - 11.4406i) q^{87} +(2.42755 + 0.748800i) q^{88} +(11.0072 - 7.50460i) q^{89} +(0.847958 + 3.62873i) q^{90} +(10.6725 - 4.32814i) q^{91} +(3.74547 - 3.47529i) q^{92} +(10.4988 - 6.09767i) q^{93} +(-6.49879 + 8.14923i) q^{94} +(1.08868 - 4.76983i) q^{95} +(1.61395 + 0.628627i) q^{96} +(3.37729 + 5.84963i) q^{97} +(-1.40336 + 6.85788i) q^{98} +(6.31903 + 4.26064i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 56 q^{2} + 5 q^{3} - 56 q^{4} + 2 q^{5} - 5 q^{6} + 2 q^{7} + 56 q^{8} + 5 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q + 56 q^{2} + 5 q^{3} - 56 q^{4} + 2 q^{5} - 5 q^{6} + 2 q^{7} + 56 q^{8} + 5 q^{9} - 2 q^{10} - 2 q^{12} + 19 q^{13} - 2 q^{14} + q^{15} - 56 q^{16} + 7 q^{17} + 2 q^{18} + 38 q^{19} + 2 q^{20} + 4 q^{21} - 42 q^{23} + 2 q^{24} + 24 q^{25} + 9 q^{26} + 35 q^{27} + 2 q^{28} - 10 q^{29} - q^{30} - 88 q^{31} + 56 q^{32} + 26 q^{33} - 7 q^{34} - 2 q^{35} + 5 q^{36} + 52 q^{37} + 11 q^{38} - 60 q^{39} - 2 q^{40} + 3 q^{41} - 53 q^{42} + q^{43} + 108 q^{45} - 42 q^{46} + 3 q^{47} - 2 q^{48} + 70 q^{49} + 172 q^{50} + 13 q^{51} + 5 q^{52} - 78 q^{53} + 14 q^{54} + 23 q^{55} - 2 q^{56} - 30 q^{57} + 38 q^{58} - 28 q^{59} + q^{60} - 37 q^{61} - 24 q^{62} + 26 q^{63} - 56 q^{64} - 14 q^{65} + 2 q^{66} - 58 q^{67} - 21 q^{68} + 19 q^{69} + 44 q^{70} + 7 q^{71} + 2 q^{72} - 8 q^{73} + 4 q^{74} + q^{75} - 4 q^{76} - 13 q^{77} + 4 q^{78} + 18 q^{79} - 12 q^{80} - 87 q^{81} - 3 q^{82} + 185 q^{83} - 17 q^{84} - 159 q^{85} - q^{86} - 132 q^{87} + 47 q^{89} + 60 q^{90} + 45 q^{91} - 21 q^{92} + 53 q^{93} + 18 q^{94} + 26 q^{95} + 2 q^{96} + 111 q^{97} - 14 q^{98} - 157 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(785\)
\(\chi(n)\) \(e\left(\frac{19}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.900969 0.433884i 0.637081 0.306802i
\(3\) −1.49776 + 0.869893i −0.864732 + 0.502233i
\(4\) 0.623490 0.781831i 0.311745 0.390916i
\(5\) −1.18698 + 0.366134i −0.530832 + 0.163740i −0.548573 0.836103i \(-0.684829\pi\)
0.0177412 + 0.999843i \(0.494353\pi\)
\(6\) −0.972003 + 1.43360i −0.396819 + 0.585265i
\(7\) −1.17475 2.37064i −0.444015 0.896019i
\(8\) 0.222521 0.974928i 0.0786730 0.344689i
\(9\) 1.48657 2.60578i 0.495524 0.868594i
\(10\) −0.910569 + 0.844885i −0.287947 + 0.267176i
\(11\) −0.189845 + 2.53331i −0.0572405 + 0.763821i 0.892553 + 0.450943i \(0.148912\pi\)
−0.949793 + 0.312878i \(0.898707\pi\)
\(12\) −0.253729 + 1.71337i −0.0732452 + 0.494606i
\(13\) −0.325293 + 4.34074i −0.0902201 + 1.20390i 0.749918 + 0.661531i \(0.230093\pi\)
−0.840138 + 0.542373i \(0.817526\pi\)
\(14\) −2.08700 1.62617i −0.557774 0.434612i
\(15\) 1.45931 1.58092i 0.376792 0.408192i
\(16\) −0.222521 0.974928i −0.0556302 0.243732i
\(17\) −0.110905 + 0.282581i −0.0268984 + 0.0685360i −0.943692 0.330825i \(-0.892673\pi\)
0.916794 + 0.399361i \(0.130768\pi\)
\(18\) 0.208749 2.99273i 0.0492027 0.705393i
\(19\) −1.96935 + 3.41101i −0.451799 + 0.782539i −0.998498 0.0547901i \(-0.982551\pi\)
0.546699 + 0.837330i \(0.315884\pi\)
\(20\) −0.453813 + 1.15630i −0.101476 + 0.258556i
\(21\) 3.82171 + 2.52875i 0.833965 + 0.551818i
\(22\) 0.928117 + 2.36480i 0.197875 + 0.504178i
\(23\) 5.05235 + 0.761520i 1.05349 + 0.158788i 0.652880 0.757461i \(-0.273561\pi\)
0.400609 + 0.916249i \(0.368799\pi\)
\(24\) 0.514800 + 1.65378i 0.105083 + 0.337576i
\(25\) −2.85634 + 1.94742i −0.571267 + 0.389483i
\(26\) 1.59030 + 4.05201i 0.311883 + 0.794664i
\(27\) 0.0402212 + 5.19600i 0.00774058 + 0.999970i
\(28\) −2.58589 0.559613i −0.488687 0.105757i
\(29\) −2.44138 + 6.22054i −0.453353 + 1.15513i 0.503356 + 0.864079i \(0.332099\pi\)
−0.956709 + 0.291046i \(0.905997\pi\)
\(30\) 0.628855 2.05753i 0.114813 0.375652i
\(31\) −7.00968 −1.25898 −0.629488 0.777010i \(-0.716735\pi\)
−0.629488 + 0.777010i \(0.716735\pi\)
\(32\) −0.623490 0.781831i −0.110218 0.138210i
\(33\) −1.91936 3.95943i −0.334118 0.689249i
\(34\) 0.0226855 + 0.302717i 0.00389053 + 0.0519155i
\(35\) 2.26238 + 2.38378i 0.382411 + 0.402933i
\(36\) −1.11042 2.78693i −0.185070 0.464488i
\(37\) 0.771345 0.116262i 0.126808 0.0191133i −0.0853314 0.996353i \(-0.527195\pi\)
0.212140 + 0.977239i \(0.431957\pi\)
\(38\) −0.294339 + 3.92768i −0.0477481 + 0.637154i
\(39\) −3.28877 6.78436i −0.526624 1.08637i
\(40\) 0.0928269 + 1.23869i 0.0146772 + 0.195854i
\(41\) −0.271297 0.251727i −0.0423694 0.0393131i 0.658704 0.752402i \(-0.271105\pi\)
−0.701073 + 0.713089i \(0.747295\pi\)
\(42\) 4.54042 + 0.620147i 0.700602 + 0.0956908i
\(43\) 0.766546 0.711251i 0.116897 0.108465i −0.619559 0.784950i \(-0.712688\pi\)
0.736456 + 0.676486i \(0.236498\pi\)
\(44\) 1.86225 + 1.72792i 0.280745 + 0.260494i
\(45\) −0.810462 + 3.63729i −0.120817 + 0.542214i
\(46\) 4.88242 1.50603i 0.719874 0.222052i
\(47\) −9.39103 + 4.52248i −1.36982 + 0.659672i −0.966804 0.255520i \(-0.917753\pi\)
−0.403019 + 0.915192i \(0.632039\pi\)
\(48\) 1.18137 + 1.26664i 0.170515 + 0.182824i
\(49\) −4.23991 + 5.56984i −0.605701 + 0.795692i
\(50\) −1.72852 + 2.99388i −0.244449 + 0.423398i
\(51\) −0.0797063 0.519714i −0.0111611 0.0727745i
\(52\) 3.19091 + 2.96073i 0.442499 + 0.410579i
\(53\) 8.54924 + 1.28859i 1.17433 + 0.177002i 0.707086 0.707128i \(-0.250009\pi\)
0.467243 + 0.884129i \(0.345247\pi\)
\(54\) 2.29070 + 4.66398i 0.311724 + 0.634687i
\(55\) −0.702188 3.07649i −0.0946830 0.414833i
\(56\) −2.57261 + 0.617782i −0.343780 + 0.0825546i
\(57\) −0.0176023 6.82200i −0.00233148 0.903596i
\(58\) 0.499382 + 6.66379i 0.0655721 + 0.874998i
\(59\) −0.142356 0.623703i −0.0185332 0.0811992i 0.964816 0.262928i \(-0.0846880\pi\)
−0.983349 + 0.181728i \(0.941831\pi\)
\(60\) −0.326151 2.12662i −0.0421059 0.274546i
\(61\) 6.32234 + 7.92796i 0.809493 + 1.01507i 0.999446 + 0.0332785i \(0.0105948\pi\)
−0.189954 + 0.981793i \(0.560834\pi\)
\(62\) −6.31550 + 3.04139i −0.802070 + 0.386256i
\(63\) −7.92374 0.462984i −0.998297 0.0583305i
\(64\) −0.900969 0.433884i −0.112621 0.0542355i
\(65\) −1.20317 5.27145i −0.149235 0.653843i
\(66\) −3.44722 2.73455i −0.424324 0.336599i
\(67\) −12.2784 −1.50005 −0.750024 0.661410i \(-0.769958\pi\)
−0.750024 + 0.661410i \(0.769958\pi\)
\(68\) 0.151783 + 0.262895i 0.0184064 + 0.0318807i
\(69\) −8.22965 + 3.25443i −0.990734 + 0.391788i
\(70\) 3.07261 + 1.16610i 0.367248 + 0.139376i
\(71\) 5.11921 6.41929i 0.607539 0.761829i −0.378993 0.925400i \(-0.623730\pi\)
0.986532 + 0.163570i \(0.0523010\pi\)
\(72\) −2.20966 2.02914i −0.260410 0.239137i
\(73\) 0.351603 + 4.69182i 0.0411521 + 0.549136i 0.979235 + 0.202727i \(0.0649802\pi\)
−0.938083 + 0.346410i \(0.887401\pi\)
\(74\) 0.644514 0.439422i 0.0749232 0.0510818i
\(75\) 2.58406 5.40147i 0.298382 0.623708i
\(76\) 1.43897 + 3.66643i 0.165061 + 0.420568i
\(77\) 6.22860 2.52596i 0.709814 0.287860i
\(78\) −5.90670 4.68555i −0.668802 0.530534i
\(79\) −13.6995 −1.54132 −0.770658 0.637249i \(-0.780072\pi\)
−0.770658 + 0.637249i \(0.780072\pi\)
\(80\) 0.621081 + 1.07574i 0.0694390 + 0.120272i
\(81\) −4.58020 7.74737i −0.508911 0.860819i
\(82\) −0.353650 0.109087i −0.0390541 0.0120466i
\(83\) 0.231367 + 3.08738i 0.0253959 + 0.338884i 0.995401 + 0.0957988i \(0.0305405\pi\)
−0.970005 + 0.243086i \(0.921840\pi\)
\(84\) 4.35985 1.41128i 0.475699 0.153983i
\(85\) 0.0281790 0.376023i 0.00305644 0.0407854i
\(86\) 0.382034 0.973407i 0.0411958 0.104965i
\(87\) −1.75460 11.4406i −0.188113 1.22656i
\(88\) 2.42755 + 0.748800i 0.258778 + 0.0798223i
\(89\) 11.0072 7.50460i 1.16676 0.795486i 0.184471 0.982838i \(-0.440943\pi\)
0.982293 + 0.187352i \(0.0599904\pi\)
\(90\) 0.847958 + 3.62873i 0.0893826 + 0.382501i
\(91\) 10.6725 4.32814i 1.11878 0.453713i
\(92\) 3.74547 3.47529i 0.390492 0.362324i
\(93\) 10.4988 6.09767i 1.08868 0.632299i
\(94\) −6.49879 + 8.14923i −0.670299 + 0.840529i
\(95\) 1.08868 4.76983i 0.111697 0.489374i
\(96\) 1.61395 + 0.628627i 0.164723 + 0.0641590i
\(97\) 3.37729 + 5.84963i 0.342911 + 0.593940i 0.984972 0.172714i \(-0.0552536\pi\)
−0.642061 + 0.766654i \(0.721920\pi\)
\(98\) −1.40336 + 6.85788i −0.141761 + 0.692751i
\(99\) 6.31903 + 4.26064i 0.635087 + 0.428211i
\(100\) −0.258344 + 3.44737i −0.0258344 + 0.344737i
\(101\) −2.21776 2.05778i −0.220675 0.204757i 0.562086 0.827079i \(-0.309999\pi\)
−0.782761 + 0.622322i \(0.786189\pi\)
\(102\) −0.297308 0.433663i −0.0294379 0.0429390i
\(103\) 12.3160 3.79897i 1.21353 0.374324i 0.379056 0.925374i \(-0.376249\pi\)
0.834473 + 0.551049i \(0.185772\pi\)
\(104\) 4.15952 + 1.28304i 0.407875 + 0.125813i
\(105\) −5.46213 1.60231i −0.533050 0.156369i
\(106\) 8.26170 2.54840i 0.802447 0.247522i
\(107\) 7.63374 5.20460i 0.737982 0.503147i −0.135033 0.990841i \(-0.543114\pi\)
0.873015 + 0.487694i \(0.162162\pi\)
\(108\) 4.08747 + 3.20820i 0.393317 + 0.308710i
\(109\) −2.03936 1.39041i −0.195335 0.133177i 0.461703 0.887035i \(-0.347239\pi\)
−0.657038 + 0.753857i \(0.728191\pi\)
\(110\) −1.96749 2.46715i −0.187592 0.235233i
\(111\) −1.05416 + 0.845120i −0.100056 + 0.0802152i
\(112\) −2.04980 + 1.67282i −0.193688 + 0.158066i
\(113\) −8.01392 + 5.46380i −0.753886 + 0.513991i −0.878224 0.478249i \(-0.841272\pi\)
0.124338 + 0.992240i \(0.460319\pi\)
\(114\) −2.97581 6.13877i −0.278710 0.574949i
\(115\) −6.27584 + 0.945931i −0.585225 + 0.0882085i
\(116\) 3.34124 + 5.78719i 0.310226 + 0.537327i
\(117\) 10.8274 + 7.30047i 1.00100 + 0.674928i
\(118\) −0.398873 0.500171i −0.0367192 0.0460445i
\(119\) 0.800185 0.0690470i 0.0733528 0.00632952i
\(120\) −1.21656 1.77451i −0.111056 0.161990i
\(121\) 4.49553 + 0.677592i 0.408684 + 0.0615992i
\(122\) 9.13604 + 4.39969i 0.827139 + 0.398329i
\(123\) 0.625313 + 0.141027i 0.0563826 + 0.0127160i
\(124\) −4.37046 + 5.48039i −0.392479 + 0.492153i
\(125\) 6.54976 8.21314i 0.585829 0.734606i
\(126\) −7.33992 + 3.02085i −0.653892 + 0.269118i
\(127\) 7.27382 + 9.12108i 0.645447 + 0.809365i 0.991672 0.128787i \(-0.0411082\pi\)
−0.346226 + 0.938151i \(0.612537\pi\)
\(128\) −1.00000 −0.0883883
\(129\) −0.529390 + 1.73210i −0.0466102 + 0.152503i
\(130\) −3.37122 4.22738i −0.295676 0.370765i
\(131\) 13.7375 12.7465i 1.20025 1.11367i 0.209521 0.977804i \(-0.432809\pi\)
0.990728 0.135864i \(-0.0433810\pi\)
\(132\) −4.29231 0.968048i −0.373598 0.0842577i
\(133\) 10.3998 + 0.661528i 0.901776 + 0.0573617i
\(134\) −11.0625 + 5.32741i −0.955653 + 0.460218i
\(135\) −1.95017 6.15280i −0.167844 0.529548i
\(136\) 0.250817 + 0.171004i 0.0215074 + 0.0146635i
\(137\) −10.1359 3.12652i −0.865972 0.267117i −0.170226 0.985405i \(-0.554450\pi\)
−0.695746 + 0.718288i \(0.744926\pi\)
\(138\) −6.00262 + 6.50285i −0.510977 + 0.553560i
\(139\) −13.8320 12.8342i −1.17321 1.08858i −0.994506 0.104679i \(-0.966618\pi\)
−0.178706 0.983903i \(-0.557191\pi\)
\(140\) 3.27428 0.282534i 0.276728 0.0238785i
\(141\) 10.1314 14.9428i 0.853221 1.25841i
\(142\) 1.82703 8.00472i 0.153321 0.671741i
\(143\) −10.9347 1.64814i −0.914403 0.137824i
\(144\) −2.87124 0.869460i −0.239270 0.0724550i
\(145\) 0.620313 8.27750i 0.0515142 0.687409i
\(146\) 2.35249 + 4.07463i 0.194693 + 0.337219i
\(147\) 1.50520 12.0306i 0.124147 0.992264i
\(148\) 0.390029 0.675550i 0.0320602 0.0555299i
\(149\) 5.30668 + 3.61803i 0.434740 + 0.296401i 0.760846 0.648932i \(-0.224784\pi\)
−0.326106 + 0.945333i \(0.605737\pi\)
\(150\) −0.0154497 5.98774i −0.00126146 0.488897i
\(151\) −3.16125 8.05473i −0.257259 0.655485i 0.742640 0.669691i \(-0.233573\pi\)
−0.999899 + 0.0142057i \(0.995478\pi\)
\(152\) 2.88727 + 2.67899i 0.234188 + 0.217295i
\(153\) 0.571476 + 0.709071i 0.0462011 + 0.0573250i
\(154\) 4.51580 4.97830i 0.363893 0.401162i
\(155\) 8.32032 2.56648i 0.668304 0.206145i
\(156\) −7.35474 1.65872i −0.588850 0.132804i
\(157\) 3.97109 + 17.3985i 0.316928 + 1.38855i 0.842909 + 0.538055i \(0.180841\pi\)
−0.525982 + 0.850496i \(0.676302\pi\)
\(158\) −12.3428 + 5.94400i −0.981944 + 0.472879i
\(159\) −13.9257 + 5.50692i −1.10438 + 0.436727i
\(160\) 1.02632 + 0.699735i 0.0811379 + 0.0553189i
\(161\) −4.12998 12.8719i −0.325488 1.01445i
\(162\) −7.48808 4.99286i −0.588319 0.392276i
\(163\) −9.43510 2.91034i −0.739014 0.227956i −0.0976804 0.995218i \(-0.531142\pi\)
−0.641334 + 0.767262i \(0.721619\pi\)
\(164\) −0.365959 + 0.0551594i −0.0285766 + 0.00430722i
\(165\) 3.72792 + 3.99701i 0.290218 + 0.311167i
\(166\) 1.54802 + 2.68125i 0.120150 + 0.208105i
\(167\) −3.24069 + 0.488455i −0.250772 + 0.0377978i −0.273225 0.961950i \(-0.588090\pi\)
0.0224533 + 0.999748i \(0.492852\pi\)
\(168\) 3.31576 3.16319i 0.255816 0.244045i
\(169\) −5.88139 0.886477i −0.452415 0.0681905i
\(170\) −0.137762 0.351011i −0.0105658 0.0269213i
\(171\) 5.96077 + 10.2024i 0.455832 + 0.780198i
\(172\) −0.0781446 1.04277i −0.00595847 0.0795103i
\(173\) −8.00150 + 10.0336i −0.608343 + 0.762838i −0.986652 0.162842i \(-0.947934\pi\)
0.378310 + 0.925679i \(0.376505\pi\)
\(174\) −6.54474 9.54635i −0.496155 0.723707i
\(175\) 7.97212 + 4.48362i 0.602636 + 0.338930i
\(176\) 2.51204 0.378629i 0.189352 0.0285402i
\(177\) 0.755770 + 0.810323i 0.0568072 + 0.0609076i
\(178\) 6.66105 11.5373i 0.499267 0.864755i
\(179\) −0.441560 + 1.12508i −0.0330037 + 0.0840921i −0.946426 0.322922i \(-0.895335\pi\)
0.913422 + 0.407014i \(0.133430\pi\)
\(180\) 2.33843 + 2.90145i 0.174296 + 0.216262i
\(181\) −17.5098 8.43228i −1.30149 0.626766i −0.350670 0.936499i \(-0.614046\pi\)
−0.950824 + 0.309733i \(0.899760\pi\)
\(182\) 7.73767 8.53014i 0.573554 0.632296i
\(183\) −16.3658 6.37443i −1.20980 0.471211i
\(184\) 1.86668 4.75623i 0.137614 0.350634i
\(185\) −0.873001 + 0.420415i −0.0641843 + 0.0309095i
\(186\) 6.81343 10.0491i 0.499585 0.736834i
\(187\) −0.694810 0.334603i −0.0508096 0.0244686i
\(188\) −2.31939 + 10.1619i −0.169159 + 0.741135i
\(189\) 12.2706 6.19936i 0.892556 0.450937i
\(190\) −1.08868 4.76983i −0.0789814 0.346040i
\(191\) 1.45233 6.36309i 0.105087 0.460417i −0.894815 0.446437i \(-0.852693\pi\)
0.999902 0.0139801i \(-0.00445014\pi\)
\(192\) 1.72687 0.133892i 0.124626 0.00966286i
\(193\) −1.47992 + 6.48395i −0.106527 + 0.466725i 0.893323 + 0.449415i \(0.148367\pi\)
−0.999850 + 0.0173104i \(0.994490\pi\)
\(194\) 5.58089 + 3.80499i 0.400685 + 0.273182i
\(195\) 6.38767 + 6.84874i 0.457430 + 0.490449i
\(196\) 1.71114 + 6.78764i 0.122224 + 0.484831i
\(197\) −3.15067 −0.224476 −0.112238 0.993681i \(-0.535802\pi\)
−0.112238 + 0.993681i \(0.535802\pi\)
\(198\) 7.54188 + 1.09698i 0.535978 + 0.0779591i
\(199\) −18.9406 + 5.84241i −1.34267 + 0.414158i −0.881093 0.472944i \(-0.843191\pi\)
−0.461574 + 0.887102i \(0.652715\pi\)
\(200\) 1.26300 + 3.21806i 0.0893073 + 0.227551i
\(201\) 18.3901 10.6809i 1.29714 0.753374i
\(202\) −2.89097 0.891745i −0.203408 0.0627430i
\(203\) 17.6147 1.51995i 1.23631 0.106680i
\(204\) −0.456025 0.261720i −0.0319281 0.0183240i
\(205\) 0.414188 + 0.199463i 0.0289282 + 0.0139311i
\(206\) 9.44800 8.76646i 0.658273 0.610788i
\(207\) 9.49505 12.0333i 0.659951 0.836371i
\(208\) 4.30429 0.648768i 0.298449 0.0449839i
\(209\) −8.26727 5.63653i −0.571859 0.389887i
\(210\) −5.61643 + 0.926301i −0.387570 + 0.0639208i
\(211\) 2.09345 1.42729i 0.144119 0.0982588i −0.489114 0.872220i \(-0.662680\pi\)
0.633233 + 0.773961i \(0.281727\pi\)
\(212\) 6.33783 5.88064i 0.435284 0.403884i
\(213\) −2.08326 + 14.0677i −0.142743 + 0.963904i
\(214\) 4.61957 8.00134i 0.315788 0.546960i
\(215\) −0.649459 + 1.12490i −0.0442927 + 0.0767173i
\(216\) 5.07467 + 1.11701i 0.345288 + 0.0760026i
\(217\) 8.23464 + 16.6175i 0.559004 + 1.12807i
\(218\) −2.44068 0.367873i −0.165304 0.0249155i
\(219\) −4.60800 6.72137i −0.311380 0.454188i
\(220\) −2.84310 1.36916i −0.191682 0.0923091i
\(221\) −1.19053 0.573331i −0.0800840 0.0385664i
\(222\) −0.583077 + 1.21881i −0.0391336 + 0.0818010i
\(223\) −9.55046 1.43950i −0.639546 0.0963961i −0.178739 0.983896i \(-0.557202\pi\)
−0.460807 + 0.887500i \(0.652440\pi\)
\(224\) −1.12100 + 2.39653i −0.0748998 + 0.160125i
\(225\) 0.828393 + 10.3380i 0.0552262 + 0.689198i
\(226\) −4.84964 + 8.39982i −0.322593 + 0.558748i
\(227\) −1.44491 + 2.50266i −0.0959021 + 0.166107i −0.909985 0.414642i \(-0.863907\pi\)
0.814083 + 0.580749i \(0.197240\pi\)
\(228\) −5.34463 4.23968i −0.353957 0.280780i
\(229\) 2.83229 2.62798i 0.187163 0.173662i −0.581026 0.813885i \(-0.697349\pi\)
0.768189 + 0.640223i \(0.221158\pi\)
\(230\) −5.24391 + 3.57524i −0.345773 + 0.235744i
\(231\) −7.13163 + 9.20149i −0.469227 + 0.605414i
\(232\) 5.52132 + 3.76437i 0.362492 + 0.247143i
\(233\) 28.3495 4.27301i 1.85724 0.279934i 0.877407 0.479747i \(-0.159272\pi\)
0.979834 + 0.199814i \(0.0640336\pi\)
\(234\) 12.9227 + 1.87964i 0.844786 + 0.122876i
\(235\) 9.49109 8.80645i 0.619131 0.574469i
\(236\) −0.576388 0.277574i −0.0375197 0.0180685i
\(237\) 20.5186 11.9171i 1.33283 0.774100i
\(238\) 0.690983 0.409396i 0.0447898 0.0265372i
\(239\) −0.669931 0.206646i −0.0433342 0.0133668i 0.273012 0.962011i \(-0.411980\pi\)
−0.316347 + 0.948644i \(0.602456\pi\)
\(240\) −1.86601 1.07093i −0.120451 0.0691284i
\(241\) −10.1433 25.8446i −0.653385 1.66480i −0.743392 0.668857i \(-0.766784\pi\)
0.0900066 0.995941i \(-0.471311\pi\)
\(242\) 4.34433 1.34005i 0.279264 0.0861415i
\(243\) 13.5994 + 7.61942i 0.872404 + 0.488786i
\(244\) 10.1402 0.649163
\(245\) 2.99336 8.16365i 0.191239 0.521556i
\(246\) 0.624577 0.144252i 0.0398216 0.00919718i
\(247\) −14.1657 9.65800i −0.901341 0.614524i
\(248\) −1.55980 + 6.83393i −0.0990474 + 0.433955i
\(249\) −3.03223 4.42290i −0.192159 0.280290i
\(250\) 2.33758 10.2416i 0.147842 0.647737i
\(251\) −3.60388 15.7896i −0.227475 0.996634i −0.951690 0.307060i \(-0.900655\pi\)
0.724215 0.689574i \(-0.242202\pi\)
\(252\) −5.30235 + 5.90636i −0.334016 + 0.372066i
\(253\) −2.88833 + 12.6546i −0.181588 + 0.795588i
\(254\) 10.5110 + 5.06182i 0.659517 + 0.317607i
\(255\) 0.284894 + 0.587705i 0.0178408 + 0.0368035i
\(256\) −0.900969 + 0.433884i −0.0563106 + 0.0271177i
\(257\) −6.05852 + 15.4369i −0.377920 + 0.962925i 0.607733 + 0.794142i \(0.292079\pi\)
−0.985653 + 0.168784i \(0.946016\pi\)
\(258\) 0.274564 + 1.79026i 0.0170936 + 0.111457i
\(259\) −1.18176 1.69201i −0.0734307 0.105136i
\(260\) −4.87155 2.34602i −0.302121 0.145494i
\(261\) 12.5801 + 15.6090i 0.778688 + 0.966173i
\(262\) 6.84653 17.4447i 0.422980 1.07774i
\(263\) −5.23628 + 9.06950i −0.322883 + 0.559249i −0.981082 0.193595i \(-0.937985\pi\)
0.658199 + 0.752844i \(0.271319\pi\)
\(264\) −4.28726 + 0.990185i −0.263863 + 0.0609417i
\(265\) −10.6195 + 1.60064i −0.652353 + 0.0983264i
\(266\) 9.65691 3.91628i 0.592103 0.240123i
\(267\) −9.95799 + 20.8152i −0.609419 + 1.27387i
\(268\) −7.65548 + 9.59966i −0.467633 + 0.586393i
\(269\) 0.871514 + 11.6295i 0.0531371 + 0.709066i 0.958621 + 0.284685i \(0.0918891\pi\)
−0.905484 + 0.424381i \(0.860492\pi\)
\(270\) −4.42664 4.69733i −0.269397 0.285870i
\(271\) −1.65322 4.21232i −0.100426 0.255880i 0.871827 0.489814i \(-0.162935\pi\)
−0.972253 + 0.233934i \(0.924840\pi\)
\(272\) 0.300175 + 0.0452441i 0.0182008 + 0.00274332i
\(273\) −12.2198 + 15.7664i −0.739576 + 0.954228i
\(274\) −10.4887 + 1.58092i −0.633646 + 0.0955068i
\(275\) −4.39115 7.60569i −0.264796 0.458640i
\(276\) −2.58669 + 8.46331i −0.155700 + 0.509431i
\(277\) −32.3893 + 4.88191i −1.94609 + 0.293325i −0.999570 0.0293312i \(-0.990662\pi\)
−0.946516 + 0.322656i \(0.895424\pi\)
\(278\) −18.0307 5.56174i −1.08141 0.333571i
\(279\) −10.4204 + 18.2657i −0.623853 + 1.09354i
\(280\) 2.82744 1.67521i 0.168972 0.100113i
\(281\) 12.3997 + 8.45398i 0.739704 + 0.504322i 0.873583 0.486676i \(-0.161791\pi\)
−0.133878 + 0.990998i \(0.542743\pi\)
\(282\) 2.64468 17.8589i 0.157488 1.06348i
\(283\) −22.5525 + 10.8607i −1.34061 + 0.645603i −0.960226 0.279226i \(-0.909922\pi\)
−0.380383 + 0.924829i \(0.624208\pi\)
\(284\) −1.82703 8.00472i −0.108414 0.474993i
\(285\) 2.51866 + 8.09110i 0.149192 + 0.479276i
\(286\) −10.5669 + 3.25946i −0.624834 + 0.192736i
\(287\) −0.278048 + 0.938865i −0.0164126 + 0.0554194i
\(288\) −2.96415 + 0.462429i −0.174664 + 0.0272489i
\(289\) 12.3943 + 11.5003i 0.729078 + 0.676486i
\(290\) −3.03259 7.72692i −0.178080 0.453740i
\(291\) −10.1469 5.82347i −0.594823 0.341378i
\(292\) 3.88744 + 2.65041i 0.227495 + 0.155103i
\(293\) 11.0587 19.1543i 0.646057 1.11900i −0.337999 0.941147i \(-0.609750\pi\)
0.984056 0.177858i \(-0.0569167\pi\)
\(294\) −3.86373 11.4922i −0.225337 0.670241i
\(295\) 0.397332 + 0.688199i 0.0231336 + 0.0400685i
\(296\) 0.0582938 0.777877i 0.00338826 0.0452132i
\(297\) −13.1707 0.884542i −0.764242 0.0513264i
\(298\) 6.35096 + 0.957253i 0.367901 + 0.0554522i
\(299\) −4.94905 + 21.6832i −0.286211 + 1.25397i
\(300\) −2.61190 5.38806i −0.150798 0.311080i
\(301\) −2.58663 0.981664i −0.149091 0.0565822i
\(302\) −6.34300 5.88545i −0.364999 0.338669i
\(303\) 5.11172 + 1.15285i 0.293660 + 0.0662294i
\(304\) 3.76371 + 1.16095i 0.215864 + 0.0665851i
\(305\) −10.4072 7.09548i −0.595912 0.406286i
\(306\) 0.822537 + 0.390897i 0.0470213 + 0.0223461i
\(307\) 13.9501 6.71799i 0.796172 0.383416i 0.00885190 0.999961i \(-0.497182\pi\)
0.787320 + 0.616545i \(0.211468\pi\)
\(308\) 1.90859 6.44462i 0.108752 0.367216i
\(309\) −15.1417 + 16.4035i −0.861380 + 0.933164i
\(310\) 6.38280 5.92237i 0.362518 0.336368i
\(311\) 5.30417 + 6.65121i 0.300772 + 0.377156i 0.909134 0.416504i \(-0.136745\pi\)
−0.608362 + 0.793659i \(0.708173\pi\)
\(312\) −7.34608 + 1.69665i −0.415890 + 0.0960538i
\(313\) −0.750935 −0.0424453 −0.0212227 0.999775i \(-0.506756\pi\)
−0.0212227 + 0.999775i \(0.506756\pi\)
\(314\) 11.1268 + 13.9525i 0.627919 + 0.787386i
\(315\) 9.57480 2.35160i 0.539479 0.132497i
\(316\) −8.54151 + 10.7107i −0.480498 + 0.602525i
\(317\) −0.937097 + 1.17508i −0.0526326 + 0.0659992i −0.807451 0.589935i \(-0.799154\pi\)
0.754818 + 0.655934i \(0.227725\pi\)
\(318\) −10.1572 + 11.0037i −0.569588 + 0.617056i
\(319\) −15.2951 7.36572i −0.856359 0.412401i
\(320\) 1.22829 + 0.185135i 0.0686634 + 0.0103493i
\(321\) −6.90607 + 14.4358i −0.385460 + 0.805726i
\(322\) −9.30590 9.80528i −0.518598 0.546427i
\(323\) −0.745477 0.934798i −0.0414794 0.0520136i
\(324\) −8.91285 1.24946i −0.495158 0.0694145i
\(325\) −7.52408 13.0321i −0.417361 0.722890i
\(326\) −9.76348 + 1.47161i −0.540749 + 0.0815048i
\(327\) 4.26399 + 0.308480i 0.235799 + 0.0170590i
\(328\) −0.305785 + 0.208480i −0.0168841 + 0.0115114i
\(329\) 21.7533 + 16.9500i 1.19930 + 0.934483i
\(330\) 5.09298 + 1.98370i 0.280359 + 0.109199i
\(331\) 2.20021 + 2.75897i 0.120934 + 0.151647i 0.838613 0.544727i \(-0.183367\pi\)
−0.717679 + 0.696374i \(0.754795\pi\)
\(332\) 2.55807 + 1.74406i 0.140392 + 0.0957178i
\(333\) 0.843709 2.18279i 0.0462349 0.119616i
\(334\) −2.70782 + 1.84616i −0.148166 + 0.101018i
\(335\) 14.5742 4.49555i 0.796274 0.245618i
\(336\) 1.61494 4.28859i 0.0881021 0.233962i
\(337\) 17.5403 + 5.41048i 0.955483 + 0.294727i 0.733015 0.680213i \(-0.238113\pi\)
0.222468 + 0.974940i \(0.428589\pi\)
\(338\) −5.68358 + 1.75315i −0.309146 + 0.0953589i
\(339\) 7.25001 15.1547i 0.393767 0.823091i
\(340\) −0.276417 0.256478i −0.0149908 0.0139095i
\(341\) 1.33075 17.7577i 0.0720644 0.961632i
\(342\) 9.79713 + 6.60577i 0.529768 + 0.357199i
\(343\) 18.1850 + 3.50812i 0.981896 + 0.189421i
\(344\) −0.522846 0.905596i −0.0281900 0.0488264i
\(345\) 8.57685 6.87609i 0.461762 0.370196i
\(346\) −2.85570 + 12.5116i −0.153523 + 0.672630i
\(347\) −13.8960 + 17.4251i −0.745978 + 0.935427i −0.999491 0.0319049i \(-0.989843\pi\)
0.253513 + 0.967332i \(0.418414\pi\)
\(348\) −10.0386 5.76131i −0.538126 0.308839i
\(349\) −1.69663 + 1.57424i −0.0908187 + 0.0842674i −0.724276 0.689510i \(-0.757826\pi\)
0.633457 + 0.773778i \(0.281635\pi\)
\(350\) 9.12800 + 0.580630i 0.487912 + 0.0310360i
\(351\) −22.5675 1.51563i −1.20457 0.0808985i
\(352\) 2.09899 1.43107i 0.111876 0.0762760i
\(353\) 35.6118 + 10.9848i 1.89543 + 0.584662i 0.985440 + 0.170023i \(0.0543843\pi\)
0.909986 + 0.414638i \(0.136092\pi\)
\(354\) 1.03251 + 0.402160i 0.0548774 + 0.0213745i
\(355\) −3.72606 + 9.49386i −0.197759 + 0.503882i
\(356\) 0.995561 13.2848i 0.0527646 0.704095i
\(357\) −1.13842 + 0.799491i −0.0602517 + 0.0423136i
\(358\) 0.0903205 + 1.20524i 0.00477359 + 0.0636991i
\(359\) −11.5708 3.56912i −0.610684 0.188371i −0.0260400 0.999661i \(-0.508290\pi\)
−0.584644 + 0.811290i \(0.698766\pi\)
\(360\) 3.36575 + 1.59951i 0.177390 + 0.0843018i
\(361\) 1.74334 + 3.01955i 0.0917547 + 0.158924i
\(362\) −19.4344 −1.02145
\(363\) −7.32265 + 2.89576i −0.384340 + 0.151988i
\(364\) 3.27031 11.0426i 0.171411 0.578791i
\(365\) −2.13518 5.44035i −0.111760 0.284761i
\(366\) −17.5109 + 1.35770i −0.915307 + 0.0709682i
\(367\) 23.0196 15.6945i 1.20161 0.819247i 0.214106 0.976810i \(-0.431316\pi\)
0.987509 + 0.157563i \(0.0503639\pi\)
\(368\) −0.381827 5.09513i −0.0199041 0.265602i
\(369\) −1.05925 + 0.332730i −0.0551422 + 0.0173213i
\(370\) −0.604135 + 0.757562i −0.0314075 + 0.0393838i
\(371\) −6.98846 21.7810i −0.362823 1.13081i
\(372\) 1.77856 12.0101i 0.0922139 0.622697i
\(373\) 15.5568 + 26.9452i 0.805502 + 1.39517i 0.915952 + 0.401288i \(0.131437\pi\)
−0.110450 + 0.993882i \(0.535229\pi\)
\(374\) −0.771181 −0.0398768
\(375\) −2.66542 + 17.9989i −0.137642 + 0.929460i
\(376\) 2.31939 + 10.1619i 0.119614 + 0.524061i
\(377\) −26.2076 12.6209i −1.34976 0.650010i
\(378\) 8.36563 10.9095i 0.430282 0.561122i
\(379\) 5.46566 2.63212i 0.280752 0.135203i −0.288209 0.957568i \(-0.593060\pi\)
0.568961 + 0.822364i \(0.307345\pi\)
\(380\) −3.05042 3.82511i −0.156483 0.196224i
\(381\) −18.8288 7.33375i −0.964628 0.375719i
\(382\) −1.45233 6.36309i −0.0743079 0.325564i
\(383\) 2.11818 + 28.2651i 0.108234 + 1.44428i 0.741815 + 0.670605i \(0.233965\pi\)
−0.633581 + 0.773677i \(0.718416\pi\)
\(384\) 1.49776 0.869893i 0.0764323 0.0443915i
\(385\) −6.46836 + 5.27875i −0.329658 + 0.269030i
\(386\) 1.47992 + 6.48395i 0.0753260 + 0.330025i
\(387\) −0.713838 3.05478i −0.0362864 0.155283i
\(388\) 6.67913 + 1.00672i 0.339081 + 0.0511083i
\(389\) 20.0771 + 18.6288i 1.01795 + 0.944517i 0.998470 0.0552933i \(-0.0176094\pi\)
0.0194770 + 0.999810i \(0.493800\pi\)
\(390\) 8.72665 + 3.39900i 0.441891 + 0.172115i
\(391\) −0.775522 + 1.34324i −0.0392198 + 0.0679307i
\(392\) 4.48673 + 5.37301i 0.226614 + 0.271378i
\(393\) −9.48735 + 31.0414i −0.478573 + 1.56583i
\(394\) −2.83865 + 1.36702i −0.143009 + 0.0688697i
\(395\) 16.2610 5.01585i 0.818180 0.252375i
\(396\) 7.27096 2.28395i 0.365379 0.114773i
\(397\) 5.90426 + 5.47835i 0.296326 + 0.274950i 0.814298 0.580447i \(-0.197122\pi\)
−0.517972 + 0.855398i \(0.673313\pi\)
\(398\) −14.5300 + 13.4819i −0.728323 + 0.675785i
\(399\) −16.1519 + 8.05589i −0.808604 + 0.403299i
\(400\) 2.53419 + 2.35138i 0.126709 + 0.117569i
\(401\) −2.03533 27.1596i −0.101639 1.35628i −0.781942 0.623352i \(-0.785770\pi\)
0.680302 0.732932i \(-0.261849\pi\)
\(402\) 11.9347 17.6024i 0.595247 0.877926i
\(403\) 2.28020 30.4272i 0.113585 1.51569i
\(404\) −2.99159 + 0.450909i −0.148837 + 0.0224336i
\(405\) 8.27316 + 7.51898i 0.411097 + 0.373621i
\(406\) 15.2108 9.01217i 0.754901 0.447266i
\(407\) 0.148090 + 1.97613i 0.00734056 + 0.0979530i
\(408\) −0.524420 0.0379394i −0.0259627 0.00187828i
\(409\) −12.5993 15.7990i −0.622994 0.781210i 0.365768 0.930706i \(-0.380806\pi\)
−0.988762 + 0.149496i \(0.952235\pi\)
\(410\) 0.459714 0.0227037
\(411\) 17.9010 4.13440i 0.882989 0.203935i
\(412\) 4.70873 11.9976i 0.231982 0.591081i
\(413\) −1.31134 + 1.07017i −0.0645271 + 0.0526598i
\(414\) 3.33370 14.9614i 0.163842 0.735310i
\(415\) −1.40502 3.57994i −0.0689698 0.175732i
\(416\) 3.59654 2.45208i 0.176335 0.120223i
\(417\) 31.8813 + 7.19021i 1.56124 + 0.352106i
\(418\) −9.89415 1.49130i −0.483939 0.0729420i
\(419\) −8.71279 22.1998i −0.425647 1.08453i −0.969444 0.245315i \(-0.921109\pi\)
0.543796 0.839217i \(-0.316986\pi\)
\(420\) −4.65832 + 3.27144i −0.227303 + 0.159630i
\(421\) −11.5216 + 29.3565i −0.561527 + 1.43075i 0.314860 + 0.949138i \(0.398043\pi\)
−0.876386 + 0.481609i \(0.840053\pi\)
\(422\) 1.26686 2.19426i 0.0616696 0.106815i
\(423\) −2.17585 + 31.1940i −0.105793 + 1.51670i
\(424\) 3.15867 8.04815i 0.153398 0.390853i
\(425\) −0.233521 1.02312i −0.0113275 0.0496288i
\(426\) 4.22680 + 13.5785i 0.204789 + 0.657879i
\(427\) 11.3672 24.3014i 0.550097 1.17603i
\(428\) 0.690442 9.21331i 0.0333738 0.445342i
\(429\) 17.8112 7.04348i 0.859934 0.340062i
\(430\) −0.0970683 + 1.29529i −0.00468105 + 0.0624642i
\(431\) −15.4509 + 14.3363i −0.744243 + 0.690557i −0.958140 0.286300i \(-0.907575\pi\)
0.213897 + 0.976856i \(0.431384\pi\)
\(432\) 5.05677 1.19543i 0.243294 0.0575152i
\(433\) 4.37562 19.1708i 0.210279 0.921291i −0.754099 0.656761i \(-0.771926\pi\)
0.964377 0.264530i \(-0.0852168\pi\)
\(434\) 14.6292 + 11.3989i 0.702224 + 0.547166i
\(435\) 6.27146 + 12.9373i 0.300694 + 0.620297i
\(436\) −2.35859 + 0.727529i −0.112956 + 0.0348423i
\(437\) −12.5474 + 15.7339i −0.600223 + 0.752656i
\(438\) −7.06796 4.05641i −0.337720 0.193823i
\(439\) 3.19363 1.53797i 0.152423 0.0734032i −0.356117 0.934441i \(-0.615900\pi\)
0.508540 + 0.861038i \(0.330185\pi\)
\(440\) −3.15560 −0.150437
\(441\) 8.21087 + 19.3283i 0.390994 + 0.920393i
\(442\) −1.32139 −0.0628522
\(443\) 10.9500 5.27323i 0.520249 0.250539i −0.155282 0.987870i \(-0.549629\pi\)
0.675531 + 0.737331i \(0.263914\pi\)
\(444\) 0.00348613 + 1.35110i 0.000165444 + 0.0641201i
\(445\) −10.3176 + 12.9379i −0.489103 + 0.613315i
\(446\) −9.22925 + 2.84685i −0.437017 + 0.134802i
\(447\) −11.0954 0.802704i −0.524796 0.0379666i
\(448\) 0.0298321 + 2.64558i 0.00140943 + 0.124992i
\(449\) 4.98442 21.8382i 0.235229 1.03061i −0.710000 0.704201i \(-0.751305\pi\)
0.945230 0.326406i \(-0.105838\pi\)
\(450\) 5.23183 + 8.95476i 0.246631 + 0.422131i
\(451\) 0.689206 0.639489i 0.0324534 0.0301124i
\(452\) −0.724828 + 9.67216i −0.0340930 + 0.454940i
\(453\) 11.7415 + 9.31411i 0.551666 + 0.437615i
\(454\) −0.215957 + 2.88174i −0.0101353 + 0.135247i
\(455\) −11.0833 + 9.04496i −0.519593 + 0.424034i
\(456\) −6.65487 1.50088i −0.311643 0.0702850i
\(457\) −4.59120 20.1154i −0.214767 0.940957i −0.961277 0.275583i \(-0.911129\pi\)
0.746510 0.665374i \(-0.231728\pi\)
\(458\) 1.41156 3.59661i 0.0659581 0.168058i
\(459\) −1.47275 0.564896i −0.0687421 0.0263671i
\(460\) −3.17336 + 5.49643i −0.147959 + 0.256272i
\(461\) 6.47839 16.5067i 0.301729 0.768792i −0.696936 0.717133i \(-0.745454\pi\)
0.998665 0.0516586i \(-0.0164508\pi\)
\(462\) −2.43300 + 11.3846i −0.113193 + 0.529657i
\(463\) 9.83961 + 25.0709i 0.457285 + 1.16514i 0.954684 + 0.297622i \(0.0961935\pi\)
−0.497398 + 0.867522i \(0.665711\pi\)
\(464\) 6.60784 + 0.995971i 0.306761 + 0.0462368i
\(465\) −10.2293 + 11.0818i −0.474372 + 0.513904i
\(466\) 23.6881 16.1503i 1.09733 0.748146i
\(467\) 15.2349 + 38.8179i 0.704987 + 1.79628i 0.597180 + 0.802107i \(0.296288\pi\)
0.107807 + 0.994172i \(0.465617\pi\)
\(468\) 12.4585 3.91347i 0.575896 0.180900i
\(469\) 14.4241 + 29.1078i 0.666044 + 1.34407i
\(470\) 4.73021 12.0524i 0.218188 0.555934i
\(471\) −21.0826 22.6044i −0.971434 1.04155i
\(472\) −0.639743 −0.0294465
\(473\) 1.65629 + 2.07693i 0.0761564 + 0.0954972i
\(474\) 13.3160 19.6396i 0.611623 0.902078i
\(475\) −1.01754 13.5781i −0.0466880 0.623007i
\(476\) 0.444924 0.668660i 0.0203931 0.0306480i
\(477\) 16.0669 20.3619i 0.735651 0.932306i
\(478\) −0.693248 + 0.104490i −0.0317084 + 0.00477927i
\(479\) −0.611851 + 8.16458i −0.0279562 + 0.373049i 0.965626 + 0.259936i \(0.0837014\pi\)
−0.993582 + 0.113113i \(0.963918\pi\)
\(480\) −2.14588 0.155245i −0.0979455 0.00708591i
\(481\) 0.253748 + 3.38603i 0.0115699 + 0.154390i
\(482\) −20.3523 18.8842i −0.927023 0.860151i
\(483\) 17.3829 + 15.6864i 0.790950 + 0.713757i
\(484\) 3.33268 3.09227i 0.151485 0.140558i
\(485\) −6.15050 5.70683i −0.279280 0.259134i
\(486\) 15.5586 + 0.964290i 0.705753 + 0.0437411i
\(487\) 22.9706 7.08550i 1.04090 0.321075i 0.273248 0.961943i \(-0.411902\pi\)
0.767651 + 0.640869i \(0.221426\pi\)
\(488\) 9.13604 4.39969i 0.413569 0.199164i
\(489\) 16.6632 3.84853i 0.753536 0.174036i
\(490\) −0.845146 8.65396i −0.0381798 0.390946i
\(491\) −20.7427 + 35.9274i −0.936105 + 1.62138i −0.163454 + 0.986551i \(0.552264\pi\)
−0.772651 + 0.634831i \(0.781070\pi\)
\(492\) 0.500136 0.400960i 0.0225479 0.0180767i
\(493\) −1.48705 1.37978i −0.0669732 0.0621420i
\(494\) −16.9533 2.55530i −0.762765 0.114968i
\(495\) −9.06050 2.74367i −0.407239 0.123319i
\(496\) 1.55980 + 6.83393i 0.0700371 + 0.306853i
\(497\) −21.2317 4.59475i −0.952370 0.206103i
\(498\) −4.65096 2.66926i −0.208415 0.119612i
\(499\) −1.27141 16.9658i −0.0569163 0.759495i −0.950525 0.310648i \(-0.899454\pi\)
0.893609 0.448847i \(-0.148165\pi\)
\(500\) −2.33758 10.2416i −0.104540 0.458019i
\(501\) 4.42887 3.55064i 0.197867 0.158631i
\(502\) −10.0979 12.6623i −0.450690 0.565147i
\(503\) −19.8501 + 9.55930i −0.885071 + 0.426228i −0.820474 0.571683i \(-0.806291\pi\)
−0.0645972 + 0.997911i \(0.520576\pi\)
\(504\) −2.21457 + 7.62205i −0.0986450 + 0.339513i
\(505\) 3.38585 + 1.63054i 0.150668 + 0.0725580i
\(506\) 2.88833 + 12.6546i 0.128402 + 0.562566i
\(507\) 9.58006 3.78845i 0.425465 0.168251i
\(508\) 11.6663 0.517608
\(509\) −16.7988 29.0964i −0.744593 1.28967i −0.950385 0.311077i \(-0.899310\pi\)
0.205791 0.978596i \(-0.434023\pi\)
\(510\) 0.511676 + 0.405893i 0.0226574 + 0.0179732i
\(511\) 10.7096 6.34526i 0.473765 0.280698i
\(512\) −0.623490 + 0.781831i −0.0275546 + 0.0345524i
\(513\) −17.8028 10.0955i −0.786013 0.445729i
\(514\) 1.23926 + 16.5368i 0.0546616 + 0.729408i
\(515\) −13.2278 + 9.01858i −0.582888 + 0.397406i
\(516\) 1.02414 + 1.49384i 0.0450852 + 0.0657626i
\(517\) −9.67400 24.6490i −0.425462 1.08406i
\(518\) −1.79886 1.01170i −0.0790373 0.0444516i
\(519\) 3.25620 21.9883i 0.142932 0.965180i
\(520\) −5.40702 −0.237113
\(521\) 15.5660 + 26.9612i 0.681960 + 1.18119i 0.974382 + 0.224900i \(0.0722056\pi\)
−0.292422 + 0.956289i \(0.594461\pi\)
\(522\) 18.1068 + 8.60493i 0.792511 + 0.376627i
\(523\) 20.6491 + 6.36942i 0.902924 + 0.278515i 0.711246 0.702943i \(-0.248131\pi\)
0.191678 + 0.981458i \(0.438607\pi\)
\(524\) −1.40045 18.6877i −0.0611790 0.816376i
\(525\) −15.8406 + 0.219500i −0.691340 + 0.00957978i
\(526\) −0.782615 + 10.4433i −0.0341236 + 0.455348i
\(527\) 0.777408 1.98080i 0.0338644 0.0862851i
\(528\) −3.43306 + 2.75230i −0.149405 + 0.119778i
\(529\) 2.96818 + 0.915563i 0.129051 + 0.0398071i
\(530\) −8.87338 + 6.04977i −0.385435 + 0.262785i
\(531\) −1.83686 0.556231i −0.0797128 0.0241384i
\(532\) 7.00137 7.71843i 0.303548 0.334636i
\(533\) 1.18093 1.09574i 0.0511518 0.0474619i
\(534\) 0.0595373 + 23.0745i 0.00257643 + 0.998530i
\(535\) −7.15549 + 8.97270i −0.309359 + 0.387924i
\(536\) −2.73221 + 11.9706i −0.118013 + 0.517050i
\(537\) −0.317345 2.06920i −0.0136944 0.0892927i
\(538\) 5.83108 + 10.0997i 0.251396 + 0.435430i
\(539\) −13.3052 11.7984i −0.573096 0.508193i
\(540\) −6.02636 2.31150i −0.259333 0.0994712i
\(541\) −2.83205 + 37.7911i −0.121759 + 1.62477i 0.517435 + 0.855722i \(0.326887\pi\)
−0.639195 + 0.769045i \(0.720732\pi\)
\(542\) −3.31715 3.07787i −0.142484 0.132206i
\(543\) 33.5607 2.60212i 1.44023 0.111668i
\(544\) 0.290079 0.0894775i 0.0124370 0.00383631i
\(545\) 2.92975 + 0.903708i 0.125497 + 0.0387106i
\(546\) −4.16887 + 19.5070i −0.178411 + 0.834825i
\(547\) −21.0290 + 6.48657i −0.899133 + 0.277346i −0.709664 0.704541i \(-0.751153\pi\)
−0.189470 + 0.981887i \(0.560677\pi\)
\(548\) −8.76407 + 5.97524i −0.374383 + 0.255250i
\(549\) 30.0572 4.68914i 1.28281 0.200128i
\(550\) −7.25627 4.94724i −0.309408 0.210951i
\(551\) −16.4104 20.5780i −0.699106 0.876652i
\(552\) 1.34157 + 8.74750i 0.0571008 + 0.372318i
\(553\) 16.0936 + 32.4767i 0.684368 + 1.38105i
\(554\) −27.0636 + 18.4516i −1.14982 + 0.783935i
\(555\) 0.941830 1.38910i 0.0399785 0.0589639i
\(556\) −18.6583 + 2.81228i −0.791287 + 0.119267i
\(557\) 11.8969 + 20.6060i 0.504086 + 0.873102i 0.999989 + 0.00472430i \(0.00150380\pi\)
−0.495903 + 0.868378i \(0.665163\pi\)
\(558\) −1.46327 + 20.9781i −0.0619450 + 0.888072i
\(559\) 2.83800 + 3.55874i 0.120035 + 0.150519i
\(560\) 1.82059 2.73610i 0.0769339 0.115621i
\(561\) 1.33173 0.103255i 0.0562256 0.00435944i
\(562\) 14.8398 + 2.23674i 0.625979 + 0.0943511i
\(563\) 5.81977 + 2.80265i 0.245274 + 0.118118i 0.552482 0.833525i \(-0.313681\pi\)
−0.307209 + 0.951642i \(0.599395\pi\)
\(564\) −5.36589 17.2378i −0.225945 0.725840i
\(565\) 7.51185 9.41956i 0.316026 0.396284i
\(566\) −15.6068 + 19.5704i −0.656004 + 0.822603i
\(567\) −12.9857 + 19.9593i −0.545346 + 0.838211i
\(568\) −5.11921 6.41929i −0.214797 0.269347i
\(569\) −18.6874 −0.783415 −0.391707 0.920090i \(-0.628115\pi\)
−0.391707 + 0.920090i \(0.628115\pi\)
\(570\) 5.77983 + 6.19703i 0.242090 + 0.259565i
\(571\) 14.6977 + 18.4303i 0.615080 + 0.771286i 0.987643 0.156721i \(-0.0500924\pi\)
−0.372563 + 0.928007i \(0.621521\pi\)
\(572\) −8.10622 + 7.52148i −0.338938 + 0.314489i
\(573\) 3.35996 + 10.7938i 0.140364 + 0.450916i
\(574\) 0.156846 + 0.966528i 0.00654663 + 0.0403421i
\(575\) −15.9142 + 7.66388i −0.663669 + 0.319606i
\(576\) −2.46996 + 1.70273i −0.102915 + 0.0709470i
\(577\) 0.860913 + 0.586961i 0.0358403 + 0.0244355i 0.581108 0.813827i \(-0.302620\pi\)
−0.545267 + 0.838262i \(0.683572\pi\)
\(578\) 16.1567 + 4.98368i 0.672029 + 0.207294i
\(579\) −3.42378 10.9988i −0.142287 0.457094i
\(580\) −6.08485 5.64592i −0.252660 0.234434i
\(581\) 7.04729 4.17540i 0.292371 0.173225i
\(582\) −11.6688 0.844182i −0.483686 0.0349925i
\(583\) −4.88743 + 21.4132i −0.202417 + 0.886846i
\(584\) 4.65243 + 0.701241i 0.192519 + 0.0290175i
\(585\) −15.5249 4.70119i −0.641874 0.194370i
\(586\) 1.65284 22.0556i 0.0682781 0.911108i
\(587\) −4.21508 7.30072i −0.173975 0.301333i 0.765831 0.643042i \(-0.222328\pi\)
−0.939806 + 0.341708i \(0.888994\pi\)
\(588\) −8.46739 8.67774i −0.349189 0.357864i
\(589\) 13.8045 23.9101i 0.568804 0.985198i
\(590\) 0.656582 + 0.447650i 0.0270311 + 0.0184295i
\(591\) 4.71895 2.74074i 0.194112 0.112739i
\(592\) −0.284987 0.726135i −0.0117129 0.0298440i
\(593\) −24.1042 22.3655i −0.989843 0.918440i 0.00682767 0.999977i \(-0.497827\pi\)
−0.996670 + 0.0815369i \(0.974017\pi\)
\(594\) −12.2502 + 4.91761i −0.502631 + 0.201772i
\(595\) −0.924520 + 0.374932i −0.0379016 + 0.0153707i
\(596\) 6.13735 1.89312i 0.251396 0.0775453i
\(597\) 23.2863 25.2269i 0.953044 1.03247i
\(598\) 4.94905 + 21.6832i 0.202382 + 0.886693i
\(599\) 17.5102 8.43246i 0.715446 0.344541i −0.0404954 0.999180i \(-0.512894\pi\)
0.755942 + 0.654639i \(0.227179\pi\)
\(600\) −4.69104 3.72122i −0.191511 0.151918i
\(601\) −1.81085 1.23462i −0.0738661 0.0503610i 0.525824 0.850593i \(-0.323757\pi\)
−0.599690 + 0.800232i \(0.704709\pi\)
\(602\) −2.75640 + 0.237846i −0.112342 + 0.00969388i
\(603\) −18.2528 + 31.9949i −0.743311 + 1.30293i
\(604\) −8.26845 2.55048i −0.336438 0.103778i
\(605\) −5.58417 + 0.841678i −0.227029 + 0.0342191i
\(606\) 5.10570 1.17921i 0.207405 0.0479022i
\(607\) 0.922442 + 1.59772i 0.0374408 + 0.0648493i 0.884139 0.467225i \(-0.154746\pi\)
−0.846698 + 0.532074i \(0.821413\pi\)
\(608\) 3.89470 0.587032i 0.157951 0.0238073i
\(609\) −25.0604 + 17.5994i −1.01550 + 0.713165i
\(610\) −12.4551 1.87731i −0.504294 0.0760101i
\(611\) −16.5761 42.2351i −0.670596 1.70865i
\(612\) 0.910684 0.00469957i 0.0368122 0.000189969i
\(613\) −2.69277 35.9325i −0.108760 1.45130i −0.738373 0.674393i \(-0.764405\pi\)
0.629613 0.776909i \(-0.283214\pi\)
\(614\) 9.65374 12.1054i 0.389593 0.488534i
\(615\) −0.793866 + 0.0615523i −0.0320118 + 0.00248203i
\(616\) −1.07663 6.63451i −0.0433788 0.267312i
\(617\) 0.0361823 0.00545361i 0.00145665 0.000219554i −0.148314 0.988940i \(-0.547385\pi\)
0.149771 + 0.988721i \(0.452147\pi\)
\(618\) −6.52495 + 21.3488i −0.262472 + 0.858775i
\(619\) 4.14398 7.17759i 0.166561 0.288492i −0.770648 0.637261i \(-0.780067\pi\)
0.937208 + 0.348770i \(0.113401\pi\)
\(620\) 3.18108 8.10526i 0.127755 0.325515i
\(621\) −3.75364 + 26.2826i −0.150628 + 1.05469i
\(622\) 7.66474 + 3.69114i 0.307328 + 0.148001i
\(623\) −30.7215 17.2782i −1.23083 0.692235i
\(624\) −5.88244 + 4.71597i −0.235486 + 0.188790i
\(625\) 1.54768 3.94342i 0.0619071 0.157737i
\(626\) −0.676569 + 0.325818i −0.0270411 + 0.0130223i
\(627\) 17.2856 + 1.25053i 0.690319 + 0.0499414i
\(628\) 16.0786 + 7.74306i 0.641607 + 0.308982i
\(629\) −0.0526926 + 0.230862i −0.00210099 + 0.00920505i
\(630\) 7.60628 6.27307i 0.303041 0.249925i
\(631\) 5.50165 + 24.1043i 0.219017 + 0.959578i 0.958206 + 0.286079i \(0.0923521\pi\)
−0.739189 + 0.673499i \(0.764791\pi\)
\(632\) −3.04843 + 13.3560i −0.121260 + 0.531275i
\(633\) −1.89390 + 3.95882i −0.0752757 + 0.157349i
\(634\) −0.334446 + 1.46530i −0.0132825 + 0.0581946i
\(635\) −11.9734 8.16331i −0.475149 0.323951i
\(636\) −4.37702 + 14.3210i −0.173560 + 0.567865i
\(637\) −22.7980 20.2162i −0.903291 0.800994i
\(638\) −16.9762 −0.672096
\(639\) −9.11719 22.8823i −0.360670 0.905209i
\(640\) 1.18698 0.366134i 0.0469193 0.0144727i
\(641\) 6.53577 + 16.6529i 0.258147 + 0.657749i 0.999917 0.0129064i \(-0.00410836\pi\)
−0.741769 + 0.670655i \(0.766013\pi\)
\(642\) 0.0412904 + 16.0026i 0.00162960 + 0.631573i
\(643\) −4.82619 1.48868i −0.190326 0.0587079i 0.198127 0.980176i \(-0.436514\pi\)
−0.388453 + 0.921469i \(0.626990\pi\)
\(644\) −12.6387 4.79657i −0.498034 0.189011i
\(645\) −0.00580495 2.24978i −0.000228570 0.0885852i
\(646\) −1.07724 0.518774i −0.0423836 0.0204109i
\(647\) 1.74885 1.62269i 0.0687543 0.0637947i −0.645047 0.764143i \(-0.723162\pi\)
0.713802 + 0.700348i \(0.246972\pi\)
\(648\) −8.57232 + 2.74141i −0.336752 + 0.107693i
\(649\) 1.60706 0.242225i 0.0630825 0.00950816i
\(650\) −12.4334 8.47693i −0.487677 0.332493i
\(651\) −26.7889 17.7257i −1.04994 0.694725i
\(652\) −8.15809 + 5.56209i −0.319495 + 0.217828i
\(653\) −10.9601 + 10.1694i −0.428900 + 0.397961i −0.864867 0.502002i \(-0.832597\pi\)
0.435966 + 0.899963i \(0.356407\pi\)
\(654\) 3.97556 1.57214i 0.155457 0.0614757i
\(655\) −11.6391 + 20.1596i −0.454778 + 0.787699i
\(656\) −0.185046 + 0.320509i −0.00722484 + 0.0125138i
\(657\) 12.7486 + 6.05853i 0.497368 + 0.236366i
\(658\) 26.9534 + 5.83300i 1.05075 + 0.227394i
\(659\) 31.3766 + 4.72926i 1.22226 + 0.184226i 0.728299 0.685260i \(-0.240311\pi\)
0.493959 + 0.869485i \(0.335549\pi\)
\(660\) 5.44931 0.422511i 0.212114 0.0164462i
\(661\) 24.4167 + 11.7584i 0.949698 + 0.457351i 0.843580 0.537003i \(-0.180444\pi\)
0.106118 + 0.994354i \(0.466158\pi\)
\(662\) 3.17939 + 1.53111i 0.123571 + 0.0595084i
\(663\) 2.28187 0.176925i 0.0886205 0.00687118i
\(664\) 3.06146 + 0.461441i 0.118808 + 0.0179074i
\(665\) −12.5865 + 3.02250i −0.488084 + 0.117207i
\(666\) −0.186922 2.33270i −0.00724306 0.0903902i
\(667\) −17.0718 + 29.5692i −0.661022 + 1.14492i
\(668\) −1.63865 + 2.83822i −0.0634011 + 0.109814i
\(669\) 15.5565 6.15185i 0.601450 0.237844i
\(670\) 11.1804 10.3739i 0.431935 0.400777i
\(671\) −21.2842 + 14.5114i −0.821669 + 0.560204i
\(672\) −0.405740 4.56458i −0.0156517 0.176082i
\(673\) −19.4092 13.2330i −0.748169 0.510093i 0.128191 0.991749i \(-0.459083\pi\)
−0.876360 + 0.481657i \(0.840035\pi\)
\(674\) 18.1508 2.73579i 0.699143 0.105379i
\(675\) −10.2337 14.7632i −0.393894 0.568235i
\(676\) −4.36006 + 4.04555i −0.167695 + 0.155598i
\(677\) −39.6971 19.1171i −1.52568 0.734730i −0.531977 0.846759i \(-0.678551\pi\)
−0.993705 + 0.112029i \(0.964265\pi\)
\(678\) −0.0433467 16.7996i −0.00166472 0.645184i
\(679\) 9.89992 14.8782i 0.379924 0.570974i
\(680\) −0.360325 0.111145i −0.0138178 0.00426223i
\(681\) −0.0129148 5.00530i −0.000494896 0.191804i
\(682\) −6.50580 16.5765i −0.249120 0.634747i
\(683\) −9.46668 + 2.92008i −0.362232 + 0.111734i −0.470528 0.882385i \(-0.655937\pi\)
0.108296 + 0.994119i \(0.465461\pi\)
\(684\) 11.6930 + 1.70078i 0.447095 + 0.0650309i
\(685\) 13.1758 0.503423
\(686\) 17.9062 4.72945i 0.683662 0.180571i
\(687\) −1.95603 + 6.39986i −0.0746271 + 0.244170i
\(688\) −0.863991 0.589059i −0.0329393 0.0224577i
\(689\) −8.37445 + 36.6908i −0.319041 + 1.39781i
\(690\) 4.74405 9.91649i 0.180603 0.377514i
\(691\) 3.23458 14.1716i 0.123049 0.539113i −0.875398 0.483403i \(-0.839401\pi\)
0.998447 0.0557101i \(-0.0177423\pi\)
\(692\) 2.85570 + 12.5116i 0.108557 + 0.475621i
\(693\) 2.67717 19.9854i 0.101697 0.759182i
\(694\) −4.95944 + 21.7287i −0.188258 + 0.824811i
\(695\) 21.1172 + 10.1695i 0.801022 + 0.385752i
\(696\) −11.5442 0.835171i −0.437582 0.0316571i
\(697\) 0.101221 0.0487456i 0.00383403 0.00184637i
\(698\) −0.845574 + 2.15449i −0.0320054 + 0.0815485i
\(699\) −38.7438 + 31.0610i −1.46542 + 1.17484i
\(700\) 8.47597 3.43736i 0.320362 0.129920i
\(701\) −7.70433 3.71021i −0.290989 0.140133i 0.282695 0.959210i \(-0.408772\pi\)
−0.573683 + 0.819077i \(0.694486\pi\)
\(702\) −20.9903 + 8.42615i −0.792226 + 0.318025i
\(703\) −1.12248 + 2.86003i −0.0423350 + 0.107868i
\(704\) 1.27021 2.20006i 0.0478727 0.0829179i
\(705\) −6.55472 + 21.4462i −0.246865 + 0.807710i
\(706\) 36.8513 5.55444i 1.38692 0.209044i
\(707\) −2.27294 + 7.67490i −0.0854828 + 0.288644i
\(708\) 1.10475 0.0856567i 0.0415191 0.00321918i
\(709\) 31.5397 39.5495i 1.18450 1.48531i 0.347867 0.937544i \(-0.386906\pi\)
0.836630 0.547768i \(-0.184522\pi\)
\(710\) 0.762162 + 10.1703i 0.0286034 + 0.381686i
\(711\) −20.3653 + 35.6980i −0.763760 + 1.33878i
\(712\) −4.86711 12.4012i −0.182403 0.464754i
\(713\) −35.4154 5.33801i −1.32632 0.199910i
\(714\) −0.678797 + 1.21426i −0.0254033 + 0.0454425i
\(715\) 13.5826 2.04725i 0.507962 0.0765629i
\(716\) 0.604312 + 1.04670i 0.0225842 + 0.0391170i
\(717\) 1.18316 0.273262i 0.0441858 0.0102051i
\(718\) −11.9735 + 1.80472i −0.446848 + 0.0673515i
\(719\) 19.4334 + 5.99440i 0.724742 + 0.223553i 0.635110 0.772422i \(-0.280955\pi\)
0.0896318 + 0.995975i \(0.471431\pi\)
\(720\) 3.72644 0.0192302i 0.138876 0.000716668i
\(721\) −23.4742 24.7339i −0.874227 0.921140i
\(722\) 2.88083 + 1.96412i 0.107213 + 0.0730968i
\(723\) 37.6742 + 29.8855i 1.40112 + 1.11145i
\(724\) −17.5098 + 8.43228i −0.650747 + 0.313383i
\(725\) −5.14058 22.5223i −0.190916 0.836459i
\(726\) −5.34106 + 5.78617i −0.198225 + 0.214745i
\(727\) 43.2278 13.3340i 1.60323 0.494531i 0.641177 0.767393i \(-0.278446\pi\)
0.962053 + 0.272862i \(0.0879702\pi\)
\(728\) −1.84477 11.3680i −0.0683719 0.421326i
\(729\) −26.9968 + 0.417979i −0.999880 + 0.0154807i
\(730\) −4.28421 3.97516i −0.158566 0.147127i
\(731\) 0.115972 + 0.295493i 0.00428939 + 0.0109292i
\(732\) −15.1877 + 8.82093i −0.561352 + 0.326031i
\(733\) −7.57457 5.16426i −0.279773 0.190746i 0.415301 0.909684i \(-0.363676\pi\)
−0.695074 + 0.718938i \(0.744629\pi\)
\(734\) 13.9304 24.1281i 0.514179 0.890585i
\(735\) 2.61816 + 14.8311i 0.0965721 + 0.547053i
\(736\) −2.55471 4.42489i −0.0941679 0.163104i
\(737\) 2.33100 31.1051i 0.0858635 1.14577i
\(738\) −0.809983 + 0.759370i −0.0298159 + 0.0279528i
\(739\) 22.0183 + 3.31872i 0.809955 + 0.122081i 0.540947 0.841057i \(-0.318066\pi\)
0.269008 + 0.963138i \(0.413304\pi\)
\(740\) −0.215613 + 0.944664i −0.00792611 + 0.0347265i
\(741\) 29.6182 + 2.14274i 1.08805 + 0.0787157i
\(742\) −15.7468 16.5918i −0.578083 0.609105i
\(743\) 30.2419 + 28.0603i 1.10947 + 1.02943i 0.999369 + 0.0355133i \(0.0113066\pi\)
0.110097 + 0.993921i \(0.464884\pi\)
\(744\) −3.60858 11.5925i −0.132297 0.425000i
\(745\) −7.62359 2.35157i −0.279307 0.0861547i
\(746\) 25.7073 + 17.5269i 0.941211 + 0.641707i
\(747\) 8.38899 + 3.98673i 0.306937 + 0.145867i
\(748\) −0.694810 + 0.334603i −0.0254048 + 0.0122343i
\(749\) −21.3060 11.9828i −0.778505 0.437841i
\(750\) 5.40797 + 17.3729i 0.197471 + 0.634370i
\(751\) −26.6150 + 24.6951i −0.971195 + 0.901137i −0.995130 0.0985760i \(-0.968571\pi\)
0.0239343 + 0.999714i \(0.492381\pi\)
\(752\) 6.49879 + 8.14923i 0.236987 + 0.297172i
\(753\) 19.1331 + 20.5141i 0.697247 + 0.747576i
\(754\) −29.0882 −1.05933
\(755\) 6.70144 + 8.40333i 0.243890 + 0.305829i
\(756\) 2.80374 13.4588i 0.101971 0.489491i
\(757\) 23.6819 29.6961i 0.860733 1.07932i −0.135341 0.990799i \(-0.543213\pi\)
0.996074 0.0885256i \(-0.0282155\pi\)
\(758\) 3.78235 4.74292i 0.137381 0.172271i
\(759\) −6.68212 21.4661i −0.242546 0.779170i
\(760\) −4.40799 2.12277i −0.159895 0.0770011i
\(761\) 6.30084 + 0.949699i 0.228405 + 0.0344266i 0.262248 0.965001i \(-0.415536\pi\)
−0.0338423 + 0.999427i \(0.510774\pi\)
\(762\) −20.1461 + 1.56203i −0.729818 + 0.0565863i
\(763\) −0.900429 + 6.46799i −0.0325977 + 0.234157i
\(764\) −4.06935 5.10280i −0.147224 0.184613i
\(765\) −0.937944 0.632414i −0.0339114 0.0228650i
\(766\) 14.1722 + 24.5470i 0.512062 + 0.886918i
\(767\) 2.75364 0.415044i 0.0994281 0.0149864i
\(768\) 0.972003 1.43360i 0.0350741 0.0517306i
\(769\) 21.5195 14.6717i 0.776012 0.529076i −0.109336 0.994005i \(-0.534872\pi\)
0.885348 + 0.464929i \(0.153920\pi\)
\(770\) −3.53742 + 7.56250i −0.127480 + 0.272534i
\(771\) −4.35420 28.3910i −0.156813 1.02248i
\(772\) 4.14664 + 5.19973i 0.149241 + 0.187142i
\(773\) 11.4993 + 7.84010i 0.413602 + 0.281989i 0.752191 0.658946i \(-0.228997\pi\)
−0.338589 + 0.940934i \(0.609950\pi\)
\(774\) −1.96856 2.44254i −0.0707586 0.0877952i
\(775\) 20.0220 13.6508i 0.719211 0.490350i
\(776\) 6.45449 1.99095i 0.231703 0.0714708i
\(777\) 3.24185 + 1.50622i 0.116301 + 0.0540353i
\(778\) 26.1715 + 8.07285i 0.938295 + 0.289426i
\(779\) 1.39292 0.429659i 0.0499065 0.0153941i
\(780\) 9.33721 0.723959i 0.334326 0.0259219i
\(781\) 15.2902 + 14.1872i 0.547126 + 0.507658i
\(782\) −0.115910 + 1.54671i −0.00414492 + 0.0553101i
\(783\) −32.4201 12.4352i −1.15860 0.444398i
\(784\) 6.37367 + 2.89420i 0.227631 + 0.103364i
\(785\) −11.0838 19.1976i −0.395597 0.685193i
\(786\) 4.92054 + 32.0837i 0.175510 + 1.14439i
\(787\) 3.21955 14.1058i 0.114765 0.502817i −0.884572 0.466403i \(-0.845550\pi\)
0.999337 0.0364134i \(-0.0115933\pi\)
\(788\) −1.96441 + 2.46329i −0.0699792 + 0.0877511i
\(789\) −0.0468025 18.1389i −0.00166621 0.645763i
\(790\) 12.4744 11.5745i 0.443818 0.411803i
\(791\) 22.3671 + 12.5795i 0.795282 + 0.447277i
\(792\) 5.55994 5.21252i 0.197564 0.185219i
\(793\) −36.4698 + 24.8647i −1.29508 + 0.882972i
\(794\) 7.69652 + 2.37406i 0.273139 + 0.0842523i
\(795\) 14.5131 11.6352i 0.514728 0.412659i
\(796\) −7.24151 + 18.4511i −0.256669 + 0.653981i
\(797\) 2.21916 29.6127i 0.0786068 1.04893i −0.808841 0.588027i \(-0.799905\pi\)
0.887448 0.460908i \(-0.152476\pi\)
\(798\) −11.0570 + 14.2661i −0.391413 + 0.505016i
\(799\) −0.236456 3.15529i −0.00836523 0.111626i
\(800\) 3.30345 + 1.01898i 0.116795 + 0.0360263i
\(801\) −3.19231 39.8386i −0.112795 1.40763i
\(802\) −13.6179 23.5868i −0.480863 0.832880i
\(803\) −11.9526 −0.421798
\(804\) 3.11539 21.0374i 0.109871 0.741933i
\(805\) 9.61503 + 13.7665i 0.338885 + 0.485207i
\(806\) −11.1475 28.4033i −0.392653 1.00046i
\(807\) −11.4218 16.6601i −0.402066 0.586465i
\(808\) −2.49968 + 1.70425i −0.0879385 + 0.0599555i
\(809\) 0.0524462 + 0.699846i 0.00184391 + 0.0246053i 0.998050 0.0624218i \(-0.0198824\pi\)
−0.996206 + 0.0870270i \(0.972263\pi\)
\(810\) 10.7162 + 3.18477i 0.376530 + 0.111902i
\(811\) −0.688561 + 0.863429i −0.0241787 + 0.0303191i −0.793774 0.608213i \(-0.791887\pi\)
0.769595 + 0.638532i \(0.220458\pi\)
\(812\) 9.79425 14.7194i 0.343711 0.516550i
\(813\) 6.14039 + 4.87093i 0.215353 + 0.170831i
\(814\) 0.990834 + 1.71618i 0.0347287 + 0.0601519i
\(815\) 12.2648 0.429618
\(816\) −0.488947 + 0.193355i −0.0171166 + 0.00676878i
\(817\) 0.916488 + 4.01540i 0.0320639 + 0.140481i
\(818\) −18.2065 8.76778i −0.636575 0.306558i
\(819\) 4.58723 34.2443i 0.160291 1.19659i
\(820\) 0.414188 0.199463i 0.0144641 0.00696554i
\(821\) 23.3408 + 29.2684i 0.814598 + 1.02147i 0.999252 + 0.0386700i \(0.0123121\pi\)
−0.184654 + 0.982804i \(0.559116\pi\)
\(822\) 14.3344 11.4919i 0.499968 0.400826i
\(823\) 2.31043 + 10.1226i 0.0805364 + 0.352853i 0.999100 0.0424206i \(-0.0135069\pi\)
−0.918563 + 0.395274i \(0.870650\pi\)
\(824\) −0.963165 12.8525i −0.0335534 0.447739i
\(825\) 13.1930 + 7.57167i 0.459322 + 0.263612i
\(826\) −0.717150 + 1.53316i −0.0249528 + 0.0533456i
\(827\) 1.18527 + 5.19301i 0.0412159 + 0.180579i 0.991346 0.131275i \(-0.0419072\pi\)
−0.950130 + 0.311854i \(0.899050\pi\)
\(828\) −3.48793 14.9262i −0.121214 0.518720i
\(829\) −6.54445 0.986418i −0.227298 0.0342597i 0.0344055 0.999408i \(-0.489046\pi\)
−0.261704 + 0.965148i \(0.584284\pi\)
\(830\) −2.81916 2.61580i −0.0978544 0.0907956i
\(831\) 44.2647 35.4872i 1.53553 1.23104i
\(832\) 2.17645 3.76973i 0.0754550 0.130692i
\(833\) −1.10371 1.81584i −0.0382411 0.0629152i
\(834\) 31.8438 7.35464i 1.10266 0.254670i
\(835\) 3.66778 1.76631i 0.126929 0.0611256i
\(836\) −9.56138 + 2.94929i −0.330687 + 0.102003i
\(837\) −0.281938 36.4223i −0.00974520 1.25894i
\(838\) −17.4821 16.2210i −0.603909 0.560345i
\(839\) 5.94766 5.51862i 0.205336 0.190524i −0.570801 0.821089i \(-0.693367\pi\)
0.776137 + 0.630565i \(0.217177\pi\)
\(840\) −2.77757 + 4.96864i −0.0958354 + 0.171434i
\(841\) −11.4763 10.6484i −0.395734 0.367187i
\(842\) 2.35672 + 31.4483i 0.0812180 + 1.08378i
\(843\) −25.9258 1.87562i −0.892933 0.0645997i
\(844\) 0.189345 2.52663i 0.00651751 0.0869701i
\(845\) 7.30564 1.10115i 0.251322 0.0378806i
\(846\) 11.5742 + 29.0489i 0.397929 + 0.998721i
\(847\) −3.67481 11.4533i −0.126268 0.393540i
\(848\) −0.646102 8.62163i −0.0221872 0.296068i
\(849\) 24.3306 35.8851i 0.835025 1.23157i
\(850\) −0.654313 0.820482i −0.0224427 0.0281423i
\(851\) 3.98564 0.136626
\(852\) 9.69970 + 10.3998i 0.332306 + 0.356293i
\(853\) −4.02288 + 10.2501i −0.137741 + 0.350958i −0.983055 0.183312i \(-0.941318\pi\)
0.845314 + 0.534270i \(0.179413\pi\)
\(854\) −0.302505 26.8269i −0.0103515 0.917996i
\(855\) −10.8107 9.92757i −0.369719 0.339516i
\(856\) −3.37544 8.60048i −0.115370 0.293958i
\(857\) −2.10813 + 1.43730i −0.0720123 + 0.0490972i −0.598791 0.800905i \(-0.704352\pi\)
0.526779 + 0.850002i \(0.323400\pi\)
\(858\) 12.9913 14.0740i 0.443516 0.480477i
\(859\) 34.7056 + 5.23102i 1.18414 + 0.178480i 0.711442 0.702745i \(-0.248042\pi\)
0.472697 + 0.881225i \(0.343281\pi\)
\(860\) 0.474548 + 1.20913i 0.0161820 + 0.0412309i
\(861\) −0.400263 1.64807i −0.0136409 0.0561660i
\(862\) −7.70047 + 19.6205i −0.262279 + 0.668276i
\(863\) −26.7948 + 46.4099i −0.912104 + 1.57981i −0.101017 + 0.994885i \(0.532210\pi\)
−0.811087 + 0.584926i \(0.801124\pi\)
\(864\) 4.03732 3.27110i 0.137352 0.111285i
\(865\) 5.82396 14.8392i 0.198021 0.504548i
\(866\) −4.37562 19.1708i −0.148689 0.651451i
\(867\) −28.5677 6.44289i −0.970211 0.218812i
\(868\) 18.1263 + 3.92271i 0.615246 + 0.133145i
\(869\) 2.60079 34.7051i 0.0882257 1.17729i
\(870\) 11.2637 + 8.93504i 0.381875 + 0.302926i
\(871\) 3.99409 53.2974i 0.135335 1.80592i
\(872\) −1.80935 + 1.67883i −0.0612724 + 0.0568525i
\(873\) 20.2634 0.104569i 0.685814 0.00353913i
\(874\) −4.47811 + 19.6199i −0.151474 + 0.663653i
\(875\) −27.1648 5.87874i −0.918338 0.198738i
\(876\) −8.12802 0.588025i −0.274620 0.0198675i
\(877\) −32.9851 + 10.1746i −1.11383 + 0.343571i −0.796436 0.604723i \(-0.793284\pi\)
−0.317393 + 0.948294i \(0.602807\pi\)
\(878\) 2.21006 2.77132i 0.0745858 0.0935277i
\(879\) 0.0988443 + 38.3084i 0.00333394 + 1.29211i
\(880\) −2.84310 + 1.36916i −0.0958409 + 0.0461545i
\(881\) 10.7315 0.361553 0.180776 0.983524i \(-0.442139\pi\)
0.180776 + 0.983524i \(0.442139\pi\)
\(882\) 15.7840 + 13.8516i 0.531473 + 0.466408i
\(883\) 36.7055 1.23524 0.617620 0.786477i \(-0.288097\pi\)
0.617620 + 0.786477i \(0.288097\pi\)
\(884\) −1.19053 + 0.573331i −0.0400420 + 0.0192832i
\(885\) −1.19377 0.685121i −0.0401281 0.0230301i
\(886\) 7.57762 9.50204i 0.254575 0.319227i
\(887\) 6.85292 2.11385i 0.230099 0.0709760i −0.177562 0.984110i \(-0.556821\pi\)
0.407660 + 0.913134i \(0.366345\pi\)
\(888\) 0.589359 + 1.21578i 0.0197776 + 0.0407990i
\(889\) 13.0779 27.9586i 0.438618 0.937703i
\(890\) −3.68232 + 16.1333i −0.123432 + 0.540789i
\(891\) 20.4960 10.1323i 0.686642 0.339444i
\(892\) −7.08006 + 6.56934i −0.237058 + 0.219958i
\(893\) 3.06797 40.9392i 0.102666 1.36998i
\(894\) −10.3449 + 4.09092i −0.345986 + 0.136821i
\(895\) 0.112193 1.49711i 0.00375019 0.0500428i
\(896\) 1.17475 + 2.37064i 0.0392458 + 0.0791977i
\(897\) −11.4496 36.7814i −0.382290 1.22810i
\(898\) −4.98442 21.8382i −0.166332 0.728749i
\(899\) 17.1133 43.6040i 0.570761 1.45427i
\(900\) 8.59904 + 5.79795i 0.286635 + 0.193265i
\(901\) −1.31228 + 2.27294i −0.0437185 + 0.0757227i
\(902\) 0.343489 0.875195i 0.0114369 0.0291408i
\(903\) 4.72809 0.779790i 0.157341 0.0259498i
\(904\) 3.54354 + 9.02880i 0.117857 + 0.300293i
\(905\) 23.8711 + 3.59798i 0.793501 + 0.119601i
\(906\) 14.6200 + 3.29726i 0.485717 + 0.109544i
\(907\) 14.2453 9.71227i 0.473007 0.322491i −0.303246 0.952912i \(-0.598070\pi\)
0.776253 + 0.630422i \(0.217118\pi\)
\(908\) 1.05577 + 2.69006i 0.0350370 + 0.0892727i
\(909\) −8.65898 + 2.71996i −0.287200 + 0.0902152i
\(910\) −6.06125 + 12.9581i −0.200929 + 0.429557i
\(911\) 18.9157 48.1965i 0.626706 1.59682i −0.165257 0.986251i \(-0.552845\pi\)
0.791963 0.610569i \(-0.209059\pi\)
\(912\) −6.64704 + 1.53520i −0.220105 + 0.0508355i
\(913\) −7.86522 −0.260301
\(914\) −12.8643 16.1313i −0.425512 0.533575i
\(915\) 21.7597 + 1.57422i 0.719355 + 0.0520420i
\(916\) −0.288734 3.85289i −0.00954004 0.127303i
\(917\) −46.3556 17.5927i −1.53080 0.580961i
\(918\) −1.57200 + 0.130049i −0.0518838 + 0.00429226i
\(919\) −22.9077 + 3.45279i −0.755657 + 0.113897i −0.515562 0.856852i \(-0.672417\pi\)
−0.240095 + 0.970749i \(0.577179\pi\)
\(920\) −0.474292 + 6.32898i −0.0156369 + 0.208660i
\(921\) −15.0499 + 22.1970i −0.495911 + 0.731416i
\(922\) −1.32515 17.6829i −0.0436414 0.582354i
\(923\) 26.1992 + 24.3093i 0.862357 + 0.800151i
\(924\) 2.74751 + 11.3128i 0.0903866 + 0.372163i
\(925\) −1.97681 + 1.83421i −0.0649972 + 0.0603085i
\(926\) 19.7430 + 18.3189i 0.648797 + 0.601995i
\(927\) 8.40929 37.7402i 0.276197 1.23955i
\(928\) 6.38559 1.96969i 0.209617 0.0646584i
\(929\) −46.4356 + 22.3622i −1.52350 + 0.733681i −0.993448 0.114282i \(-0.963543\pi\)
−0.530056 + 0.847963i \(0.677829\pi\)
\(930\) −4.40807 + 14.4226i −0.144546 + 0.472937i
\(931\) −10.6489 25.4313i −0.349005 0.833478i
\(932\) 14.3349 24.8287i 0.469555 0.813293i
\(933\) −13.7302 5.34787i −0.449507 0.175081i
\(934\) 30.5686 + 28.3636i 1.00024 + 0.928084i
\(935\) 0.947232 + 0.142772i 0.0309778 + 0.00466915i
\(936\) 9.52676 8.93147i 0.311392 0.291934i
\(937\) 6.52328 + 28.5803i 0.213106 + 0.933679i 0.962442 + 0.271489i \(0.0875159\pi\)
−0.749335 + 0.662191i \(0.769627\pi\)
\(938\) 25.6251 + 19.9668i 0.836689 + 0.651940i
\(939\) 1.12472 0.653233i 0.0367039 0.0213174i
\(940\) −0.967558 12.9112i −0.0315583 0.421116i
\(941\) −2.15480 9.44079i −0.0702444 0.307761i 0.927585 0.373612i \(-0.121881\pi\)
−0.997829 + 0.0658511i \(0.979024\pi\)
\(942\) −28.8024 11.2184i −0.938433 0.365516i
\(943\) −1.17899 1.47841i −0.0383933 0.0481436i
\(944\) −0.576388 + 0.277574i −0.0187598 + 0.00903426i
\(945\) −12.2951 + 11.8512i −0.399960 + 0.385519i
\(946\) 2.39341 + 1.15261i 0.0778166 + 0.0374745i
\(947\) −4.08137 17.8816i −0.132627 0.581075i −0.996943 0.0781274i \(-0.975106\pi\)
0.864317 0.502948i \(-0.167751\pi\)
\(948\) 3.47596 23.4723i 0.112894 0.762344i
\(949\) −20.4803 −0.664820
\(950\) −6.80810 11.7920i −0.220884 0.382582i
\(951\) 0.381351 2.57517i 0.0123662 0.0835055i
\(952\) 0.110742 0.795487i 0.00358917 0.0257819i
\(953\) 32.0181 40.1494i 1.03717 1.30057i 0.0845434 0.996420i \(-0.473057\pi\)
0.952625 0.304148i \(-0.0983717\pi\)
\(954\) 5.64105 25.3166i 0.182636 0.819654i
\(955\) 0.605856 + 8.08458i 0.0196050 + 0.261611i
\(956\) −0.579258 + 0.394931i −0.0187345 + 0.0127730i
\(957\) 29.3157 2.27299i 0.947643 0.0734754i
\(958\) 2.99122 + 7.62150i 0.0966419 + 0.246240i
\(959\) 4.49535 + 27.7016i 0.145163 + 0.894531i
\(960\) −2.00073 + 0.791192i −0.0645732 + 0.0255356i
\(961\) 18.1356 0.585019
\(962\) 1.69776 + 2.94061i 0.0547380 + 0.0948090i
\(963\) −2.21393 27.6289i −0.0713430 0.890328i
\(964\) −26.5304 8.18353i −0.854485 0.263574i
\(965\) −0.617364 8.23815i −0.0198736 0.265195i
\(966\) 22.4676 + 6.59082i 0.722882 + 0.212056i
\(967\) 2.59623 34.6443i 0.0834892 1.11409i −0.785370 0.619026i \(-0.787527\pi\)
0.868859 0.495059i \(-0.164854\pi\)
\(968\) 1.66095 4.23204i 0.0533850 0.136023i
\(969\) 1.92972 + 0.751619i 0.0619915 + 0.0241455i
\(970\) −8.01752 2.47308i −0.257427 0.0794057i
\(971\) 38.2453 26.0752i 1.22735 0.836792i 0.236482 0.971636i \(-0.424006\pi\)
0.990867 + 0.134844i \(0.0430532\pi\)
\(972\) 14.4362 5.88183i 0.463042 0.188660i
\(973\) −14.1761 + 47.8677i −0.454466 + 1.53457i
\(974\) 17.6215 16.3504i 0.564631 0.523901i
\(975\) 22.6058 + 12.9738i 0.723965 + 0.415494i
\(976\) 6.32234 7.92796i 0.202373 0.253768i
\(977\) −0.740548 + 3.24455i −0.0236922 + 0.103803i −0.985392 0.170304i \(-0.945525\pi\)
0.961699 + 0.274107i \(0.0883821\pi\)
\(978\) 13.3432 10.6973i 0.426669 0.342062i
\(979\) 16.9218 + 29.3094i 0.540823 + 0.936733i
\(980\) −4.51626 7.43026i −0.144267 0.237351i
\(981\) −6.65477 + 3.24718i −0.212471 + 0.103675i
\(982\) −3.10021 + 41.3694i −0.0989316 + 1.32015i
\(983\) 35.8049 + 33.2221i 1.14200 + 1.05962i 0.997539 + 0.0701093i \(0.0223348\pi\)
0.144459 + 0.989511i \(0.453856\pi\)
\(984\) 0.276636 0.578253i 0.00881885 0.0184340i
\(985\) 3.73977 1.15357i 0.119159 0.0367557i
\(986\) −1.93844 0.597931i −0.0617326 0.0190420i
\(987\) −47.3260 6.46395i −1.50640 0.205750i
\(988\) −16.3831 + 5.05351i −0.521216 + 0.160774i
\(989\) 4.41449 3.00975i 0.140373 0.0957045i
\(990\) −9.35367 + 1.45924i −0.297279 + 0.0463778i
\(991\) −42.3433 28.8692i −1.34508 0.917061i −0.345310 0.938489i \(-0.612226\pi\)
−0.999770 + 0.0214281i \(0.993179\pi\)
\(992\) 4.37046 + 5.48039i 0.138762 + 0.174002i
\(993\) −5.69539 2.21834i −0.180738 0.0703967i
\(994\) −21.1227 + 5.07235i −0.669970 + 0.160885i
\(995\) 20.3430 13.8696i 0.644916 0.439696i
\(996\) −5.34852 0.386941i −0.169474 0.0122607i
\(997\) 9.97226 1.50308i 0.315825 0.0476029i 0.0107829 0.999942i \(-0.496568\pi\)
0.305042 + 0.952339i \(0.401330\pi\)
\(998\) −8.50670 14.7340i −0.269275 0.466398i
\(999\) 0.635119 + 4.00323i 0.0200943 + 0.126657i
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 882.2.bb.b.121.5 yes 336
9.7 even 3 882.2.y.a.709.2 yes 336
49.32 even 21 882.2.y.a.571.2 336
441.277 even 21 inner 882.2.bb.b.277.5 yes 336
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
882.2.y.a.571.2 336 49.32 even 21
882.2.y.a.709.2 yes 336 9.7 even 3
882.2.bb.b.121.5 yes 336 1.1 even 1 trivial
882.2.bb.b.277.5 yes 336 441.277 even 21 inner