Properties

Label 930.2.bj.a.277.3
Level $930$
Weight $2$
Character 930.277
Analytic conductor $7.426$
Analytic rank $0$
Dimension $128$
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] = [930,2,Mod(277,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([0, 5, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.277");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bj (of order \(20\), degree \(8\), 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: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 277.3
Character \(\chi\) \(=\) 930.277
Dual form 930.2.bj.a.883.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.156434 - 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-0.620092 - 2.14837i) q^{5} -1.00000i q^{6} +(-0.961148 + 1.88636i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-0.156434 - 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-0.620092 - 2.14837i) q^{5} -1.00000i q^{6} +(-0.961148 + 1.88636i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-2.02491 + 0.948537i) q^{10} +(-5.04303 + 1.63858i) q^{11} +(-0.987688 + 0.156434i) q^{12} +(-0.994385 - 0.157495i) q^{13} +(2.01349 + 0.654223i) q^{14} +(-0.276379 - 2.21892i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-1.51324 - 2.96991i) q^{17} +(0.156434 - 0.987688i) q^{18} +(0.543172 - 0.747613i) q^{19} +(1.25363 + 1.85160i) q^{20} +(-1.24441 + 1.71278i) q^{21} +(2.40731 + 4.72461i) q^{22} +(-6.61055 + 3.36824i) q^{23} +(0.309017 + 0.951057i) q^{24} +(-4.23097 + 2.66437i) q^{25} +1.00678i q^{26} +(0.891007 + 0.453990i) q^{27} +(0.331189 - 2.09105i) q^{28} +(-6.70057 - 4.86825i) q^{29} +(-2.14837 + 0.620092i) q^{30} +(0.886555 + 5.49673i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-5.23727 + 0.829503i) q^{33} +(-2.69662 + 1.95921i) q^{34} +(4.64860 + 0.895183i) q^{35} -1.00000 q^{36} +(1.07333 - 1.07333i) q^{37} +(-0.823379 - 0.419533i) q^{38} +(-0.957505 - 0.311112i) q^{39} +(1.63269 - 1.52785i) q^{40} +(-2.97457 - 2.16115i) q^{41} +(1.88636 + 0.961148i) q^{42} +(-0.0293795 - 0.185495i) q^{43} +(4.28986 - 3.11677i) q^{44} +(0.0741394 - 2.23484i) q^{45} +(4.36089 + 6.00225i) q^{46} +(4.24993 + 0.673123i) q^{47} +(0.891007 - 0.453990i) q^{48} +(1.47995 + 2.03698i) q^{49} +(3.29344 + 3.76208i) q^{50} +(-1.03002 - 3.17007i) q^{51} +(0.994385 - 0.157495i) q^{52} +(0.276888 - 0.141081i) q^{53} +(0.309017 - 0.951057i) q^{54} +(6.64742 + 9.81822i) q^{55} -2.11711 q^{56} +(0.653437 - 0.653437i) q^{57} +(-3.76012 + 7.37964i) q^{58} +(0.186742 + 0.257029i) q^{59} +(0.948537 + 2.02491i) q^{60} +0.618521i q^{61} +(5.29037 - 1.73552i) q^{62} +(-1.49702 + 1.49702i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(0.278253 + 2.23397i) q^{65} +(1.63858 + 5.04303i) q^{66} +(-7.06767 - 7.06767i) q^{67} +(2.35693 + 2.35693i) q^{68} +(-7.05607 + 2.29266i) q^{69} +(0.156961 - 4.73140i) q^{70} +(1.41340 - 4.35000i) q^{71} +(0.156434 + 0.987688i) q^{72} +(-2.72134 + 5.34094i) q^{73} +(-1.22802 - 0.892209i) q^{74} +(-4.59568 + 1.96970i) q^{75} +(-0.285563 + 0.878871i) q^{76} +(1.75615 - 11.0879i) q^{77} +(-0.157495 + 0.994385i) q^{78} +(-0.490922 + 1.51090i) q^{79} +(-1.76444 - 1.37359i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-1.66922 + 3.27603i) q^{82} +(2.47154 + 15.6047i) q^{83} +(0.654223 - 2.01349i) q^{84} +(-5.44210 + 5.09262i) q^{85} +(-0.178615 + 0.0580355i) q^{86} +(-5.85652 - 5.85652i) q^{87} +(-3.74947 - 3.74947i) q^{88} +(-2.97083 - 9.14327i) q^{89} +(-2.21892 + 0.276379i) q^{90} +(1.25284 - 1.72439i) q^{91} +(5.24616 - 5.24616i) q^{92} +(0.0157618 + 5.56774i) q^{93} -4.30291i q^{94} +(-1.94296 - 0.703345i) q^{95} +(-0.587785 - 0.809017i) q^{96} +(4.00021 - 7.85084i) q^{97} +(1.78038 - 1.78038i) q^{98} -5.30256 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q - 16 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 128 q - 16 q^{7} - 4 q^{10} + 4 q^{15} + 32 q^{16} - 12 q^{17} - 40 q^{19} + 40 q^{21} + 16 q^{22} - 32 q^{24} - 8 q^{25} - 4 q^{28} + 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} + 64 q^{37} - 16 q^{38} - 24 q^{41} + 4 q^{42} + 24 q^{43} - 8 q^{44} + 20 q^{46} + 108 q^{47} - 100 q^{49} - 24 q^{50} + 16 q^{53} - 32 q^{54} + 12 q^{55} + 16 q^{57} - 40 q^{58} - 16 q^{62} - 4 q^{63} + 36 q^{65} - 12 q^{66} - 32 q^{67} + 8 q^{68} - 32 q^{70} + 24 q^{71} + 60 q^{73} - 16 q^{74} + 24 q^{75} - 24 q^{76} - 20 q^{77} - 56 q^{79} + 32 q^{81} - 16 q^{82} - 8 q^{83} - 132 q^{85} - 20 q^{87} - 4 q^{88} + 136 q^{89} - 40 q^{91} - 64 q^{93} + 108 q^{95} + 64 q^{97} - 16 q^{98} - 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{3}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.156434 0.987688i −0.110616 0.698401i
\(3\) 0.987688 + 0.156434i 0.570242 + 0.0903175i
\(4\) −0.951057 + 0.309017i −0.475528 + 0.154508i
\(5\) −0.620092 2.14837i −0.277314 0.960779i
\(6\) 1.00000i 0.408248i
\(7\) −0.961148 + 1.88636i −0.363280 + 0.712977i −0.998223 0.0595815i \(-0.981023\pi\)
0.634943 + 0.772559i \(0.281023\pi\)
\(8\) 0.453990 + 0.891007i 0.160510 + 0.315018i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) −2.02491 + 0.948537i −0.640334 + 0.299954i
\(11\) −5.04303 + 1.63858i −1.52053 + 0.494051i −0.945927 0.324380i \(-0.894844\pi\)
−0.574605 + 0.818431i \(0.694844\pi\)
\(12\) −0.987688 + 0.156434i −0.285121 + 0.0451587i
\(13\) −0.994385 0.157495i −0.275793 0.0436813i 0.0170059 0.999855i \(-0.494587\pi\)
−0.292799 + 0.956174i \(0.594587\pi\)
\(14\) 2.01349 + 0.654223i 0.538128 + 0.174849i
\(15\) −0.276379 2.21892i −0.0713608 0.572923i
\(16\) 0.809017 0.587785i 0.202254 0.146946i
\(17\) −1.51324 2.96991i −0.367015 0.720308i 0.631466 0.775404i \(-0.282454\pi\)
−0.998481 + 0.0550955i \(0.982454\pi\)
\(18\) 0.156434 0.987688i 0.0368720 0.232800i
\(19\) 0.543172 0.747613i 0.124612 0.171514i −0.742153 0.670231i \(-0.766195\pi\)
0.866765 + 0.498717i \(0.166195\pi\)
\(20\) 1.25363 + 1.85160i 0.280319 + 0.414030i
\(21\) −1.24441 + 1.71278i −0.271552 + 0.373759i
\(22\) 2.40731 + 4.72461i 0.513240 + 1.00729i
\(23\) −6.61055 + 3.36824i −1.37840 + 0.702327i −0.976933 0.213548i \(-0.931498\pi\)
−0.401463 + 0.915875i \(0.631498\pi\)
\(24\) 0.309017 + 0.951057i 0.0630778 + 0.194134i
\(25\) −4.23097 + 2.66437i −0.846194 + 0.532875i
\(26\) 1.00678i 0.197446i
\(27\) 0.891007 + 0.453990i 0.171474 + 0.0873705i
\(28\) 0.331189 2.09105i 0.0625889 0.395171i
\(29\) −6.70057 4.86825i −1.24427 0.904012i −0.246391 0.969171i \(-0.579245\pi\)
−0.997875 + 0.0651588i \(0.979245\pi\)
\(30\) −2.14837 + 0.620092i −0.392237 + 0.113213i
\(31\) 0.886555 + 5.49673i 0.159230 + 0.987242i
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) −5.23727 + 0.829503i −0.911692 + 0.144398i
\(34\) −2.69662 + 1.95921i −0.462466 + 0.336002i
\(35\) 4.64860 + 0.895183i 0.785756 + 0.151314i
\(36\) −1.00000 −0.166667
\(37\) 1.07333 1.07333i 0.176454 0.176454i −0.613354 0.789808i \(-0.710180\pi\)
0.789808 + 0.613354i \(0.210180\pi\)
\(38\) −0.823379 0.419533i −0.133570 0.0680572i
\(39\) −0.957505 0.311112i −0.153323 0.0498178i
\(40\) 1.63269 1.52785i 0.258152 0.241574i
\(41\) −2.97457 2.16115i −0.464550 0.337515i 0.330764 0.943714i \(-0.392694\pi\)
−0.795313 + 0.606198i \(0.792694\pi\)
\(42\) 1.88636 + 0.961148i 0.291072 + 0.148308i
\(43\) −0.0293795 0.185495i −0.00448033 0.0282877i 0.985347 0.170562i \(-0.0545584\pi\)
−0.989827 + 0.142275i \(0.954558\pi\)
\(44\) 4.28986 3.11677i 0.646721 0.469870i
\(45\) 0.0741394 2.23484i 0.0110520 0.333150i
\(46\) 4.36089 + 6.00225i 0.642979 + 0.884984i
\(47\) 4.24993 + 0.673123i 0.619916 + 0.0981850i 0.458490 0.888700i \(-0.348391\pi\)
0.161426 + 0.986885i \(0.448391\pi\)
\(48\) 0.891007 0.453990i 0.128606 0.0655279i
\(49\) 1.47995 + 2.03698i 0.211421 + 0.290996i
\(50\) 3.29344 + 3.76208i 0.465763 + 0.532039i
\(51\) −1.03002 3.17007i −0.144231 0.443898i
\(52\) 0.994385 0.157495i 0.137896 0.0218406i
\(53\) 0.276888 0.141081i 0.0380335 0.0193790i −0.434870 0.900493i \(-0.643206\pi\)
0.472904 + 0.881114i \(0.343206\pi\)
\(54\) 0.309017 0.951057i 0.0420519 0.129422i
\(55\) 6.64742 + 9.81822i 0.896338 + 1.32389i
\(56\) −2.11711 −0.282911
\(57\) 0.653437 0.653437i 0.0865499 0.0865499i
\(58\) −3.76012 + 7.37964i −0.493727 + 0.968994i
\(59\) 0.186742 + 0.257029i 0.0243118 + 0.0334623i 0.821000 0.570928i \(-0.193417\pi\)
−0.796688 + 0.604391i \(0.793417\pi\)
\(60\) 0.948537 + 2.02491i 0.122456 + 0.261415i
\(61\) 0.618521i 0.0791935i 0.999216 + 0.0395967i \(0.0126073\pi\)
−0.999216 + 0.0395967i \(0.987393\pi\)
\(62\) 5.29037 1.73552i 0.671877 0.220411i
\(63\) −1.49702 + 1.49702i −0.188607 + 0.188607i
\(64\) −0.587785 + 0.809017i −0.0734732 + 0.101127i
\(65\) 0.278253 + 2.23397i 0.0345131 + 0.277089i
\(66\) 1.63858 + 5.04303i 0.201695 + 0.620754i
\(67\) −7.06767 7.06767i −0.863454 0.863454i 0.128284 0.991737i \(-0.459053\pi\)
−0.991737 + 0.128284i \(0.959053\pi\)
\(68\) 2.35693 + 2.35693i 0.285820 + 0.285820i
\(69\) −7.05607 + 2.29266i −0.849451 + 0.276004i
\(70\) 0.156961 4.73140i 0.0187605 0.565511i
\(71\) 1.41340 4.35000i 0.167740 0.516250i −0.831488 0.555543i \(-0.812511\pi\)
0.999228 + 0.0392929i \(0.0125105\pi\)
\(72\) 0.156434 + 0.987688i 0.0184360 + 0.116400i
\(73\) −2.72134 + 5.34094i −0.318509 + 0.625109i −0.993642 0.112587i \(-0.964086\pi\)
0.675133 + 0.737696i \(0.264086\pi\)
\(74\) −1.22802 0.892209i −0.142755 0.103717i
\(75\) −4.59568 + 1.96970i −0.530663 + 0.227441i
\(76\) −0.285563 + 0.878871i −0.0327563 + 0.100813i
\(77\) 1.75615 11.0879i 0.200132 1.26358i
\(78\) −0.157495 + 0.994385i −0.0178328 + 0.112592i
\(79\) −0.490922 + 1.51090i −0.0552331 + 0.169990i −0.974867 0.222786i \(-0.928485\pi\)
0.919634 + 0.392775i \(0.128485\pi\)
\(80\) −1.76444 1.37359i −0.197271 0.153571i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) −1.66922 + 3.27603i −0.184334 + 0.361777i
\(83\) 2.47154 + 15.6047i 0.271286 + 1.71283i 0.627657 + 0.778490i \(0.284014\pi\)
−0.356371 + 0.934345i \(0.615986\pi\)
\(84\) 0.654223 2.01349i 0.0713816 0.219690i
\(85\) −5.44210 + 5.09262i −0.590279 + 0.552372i
\(86\) −0.178615 + 0.0580355i −0.0192605 + 0.00625813i
\(87\) −5.85652 5.85652i −0.627885 0.627885i
\(88\) −3.74947 3.74947i −0.399695 0.399695i
\(89\) −2.97083 9.14327i −0.314907 0.969185i −0.975793 0.218698i \(-0.929819\pi\)
0.660885 0.750487i \(-0.270181\pi\)
\(90\) −2.21892 + 0.276379i −0.233895 + 0.0291329i
\(91\) 1.25284 1.72439i 0.131334 0.180765i
\(92\) 5.24616 5.24616i 0.546950 0.546950i
\(93\) 0.0157618 + 5.56774i 0.00163443 + 0.577348i
\(94\) 4.30291i 0.443811i
\(95\) −1.94296 0.703345i −0.199344 0.0721617i
\(96\) −0.587785 0.809017i −0.0599906 0.0825700i
\(97\) 4.00021 7.85084i 0.406159 0.797133i −0.593813 0.804603i \(-0.702378\pi\)
0.999972 + 0.00747071i \(0.00237802\pi\)
\(98\) 1.78038 1.78038i 0.179846 0.179846i
\(99\) −5.30256 −0.532927
\(100\) 3.20056 3.84141i 0.320056 0.384141i
\(101\) 0.561865 1.72924i 0.0559077 0.172066i −0.919203 0.393783i \(-0.871166\pi\)
0.975111 + 0.221717i \(0.0711661\pi\)
\(102\) −2.96991 + 1.51324i −0.294065 + 0.149833i
\(103\) −14.2315 + 2.25405i −1.40227 + 0.222098i −0.811316 0.584608i \(-0.801249\pi\)
−0.590954 + 0.806705i \(0.701249\pi\)
\(104\) −0.311112 0.957505i −0.0305071 0.0938911i
\(105\) 4.45133 + 1.61136i 0.434405 + 0.157253i
\(106\) −0.182659 0.251409i −0.0177414 0.0244190i
\(107\) 0.664743 0.338704i 0.0642632 0.0327437i −0.421564 0.906799i \(-0.638519\pi\)
0.485827 + 0.874055i \(0.338519\pi\)
\(108\) −0.987688 0.156434i −0.0950404 0.0150529i
\(109\) −5.11564 7.04107i −0.489989 0.674412i 0.490397 0.871499i \(-0.336852\pi\)
−0.980386 + 0.197087i \(0.936852\pi\)
\(110\) 8.65745 8.10149i 0.825456 0.772446i
\(111\) 1.22802 0.892209i 0.116559 0.0846848i
\(112\) 0.331189 + 2.09105i 0.0312944 + 0.197585i
\(113\) 10.5081 + 5.35415i 0.988519 + 0.503676i 0.871996 0.489512i \(-0.162825\pi\)
0.116523 + 0.993188i \(0.462825\pi\)
\(114\) −0.747613 0.543172i −0.0700203 0.0508728i
\(115\) 11.3354 + 12.1133i 1.05703 + 1.12957i
\(116\) 7.87700 + 2.55939i 0.731361 + 0.237634i
\(117\) −0.897048 0.457069i −0.0829321 0.0422560i
\(118\) 0.224651 0.224651i 0.0206808 0.0206808i
\(119\) 7.05677 0.646893
\(120\) 1.85160 1.25363i 0.169027 0.114440i
\(121\) 13.8480 10.0612i 1.25891 0.914654i
\(122\) 0.610906 0.0967580i 0.0553088 0.00876006i
\(123\) −2.59987 2.59987i −0.234422 0.234422i
\(124\) −2.54175 4.95374i −0.228256 0.444859i
\(125\) 8.34765 + 7.43753i 0.746636 + 0.665232i
\(126\) 1.71278 + 1.24441i 0.152586 + 0.110861i
\(127\) −1.09589 + 6.91921i −0.0972450 + 0.613980i 0.890145 + 0.455676i \(0.150603\pi\)
−0.987390 + 0.158304i \(0.949397\pi\)
\(128\) 0.891007 + 0.453990i 0.0787546 + 0.0401275i
\(129\) 0.187807i 0.0165355i
\(130\) 2.16293 0.624297i 0.189702 0.0547544i
\(131\) −2.21566 6.81910i −0.193583 0.595787i −0.999990 0.00442655i \(-0.998591\pi\)
0.806407 0.591361i \(-0.201409\pi\)
\(132\) 4.72461 2.40731i 0.411225 0.209530i
\(133\) 0.888197 + 1.74319i 0.0770165 + 0.151153i
\(134\) −5.87503 + 8.08628i −0.507525 + 0.698549i
\(135\) 0.422832 2.19573i 0.0363916 0.188978i
\(136\) 1.95921 2.69662i 0.168001 0.231233i
\(137\) 0.373427 2.35773i 0.0319041 0.201434i −0.966588 0.256336i \(-0.917485\pi\)
0.998492 + 0.0549019i \(0.0174846\pi\)
\(138\) 3.36824 + 6.61055i 0.286724 + 0.562727i
\(139\) 15.6323 11.3575i 1.32591 0.963331i 0.326073 0.945345i \(-0.394274\pi\)
0.999838 0.0179866i \(-0.00572561\pi\)
\(140\) −4.69770 + 0.585125i −0.397028 + 0.0494521i
\(141\) 4.09231 + 1.32967i 0.344634 + 0.111978i
\(142\) −4.51755 0.715509i −0.379104 0.0600442i
\(143\) 5.27278 0.835127i 0.440932 0.0698368i
\(144\) 0.951057 0.309017i 0.0792547 0.0257514i
\(145\) −6.30382 + 17.4141i −0.523504 + 1.44616i
\(146\) 5.70089 + 1.85233i 0.471809 + 0.153300i
\(147\) 1.14308 + 2.24341i 0.0942793 + 0.185033i
\(148\) −0.689120 + 1.35247i −0.0566453 + 0.111173i
\(149\) 15.7540i 1.29062i −0.763920 0.645311i \(-0.776728\pi\)
0.763920 0.645311i \(-0.223272\pi\)
\(150\) 2.66437 + 4.23097i 0.217545 + 0.345457i
\(151\) −22.9284 + 7.44990i −1.86589 + 0.606264i −0.872925 + 0.487855i \(0.837779\pi\)
−0.992965 + 0.118409i \(0.962221\pi\)
\(152\) 0.912723 + 0.144561i 0.0740316 + 0.0117255i
\(153\) −0.521428 3.29217i −0.0421550 0.266156i
\(154\) −11.2261 −0.904625
\(155\) 11.2592 5.31312i 0.904365 0.426760i
\(156\) 1.00678 0.0806069
\(157\) 1.28638 + 8.12189i 0.102664 + 0.648197i 0.984332 + 0.176326i \(0.0564213\pi\)
−0.881667 + 0.471871i \(0.843579\pi\)
\(158\) 1.56910 + 0.248521i 0.124831 + 0.0197713i
\(159\) 0.295549 0.0960296i 0.0234385 0.00761565i
\(160\) −1.08065 + 1.95760i −0.0854332 + 0.154762i
\(161\) 15.7073i 1.23791i
\(162\) 0.453990 0.891007i 0.0356689 0.0700041i
\(163\) −4.78572 9.39250i −0.374846 0.735677i 0.624111 0.781336i \(-0.285461\pi\)
−0.998957 + 0.0456586i \(0.985461\pi\)
\(164\) 3.49682 + 1.13618i 0.273056 + 0.0887211i
\(165\) 5.02967 + 10.7372i 0.391559 + 0.835892i
\(166\) 15.0259 4.88221i 1.16624 0.378933i
\(167\) −17.4058 + 2.75681i −1.34690 + 0.213329i −0.787883 0.615825i \(-0.788823\pi\)
−0.559021 + 0.829154i \(0.688823\pi\)
\(168\) −2.09105 0.331189i −0.161328 0.0255518i
\(169\) −11.3997 3.70400i −0.876903 0.284923i
\(170\) 5.88125 + 4.57844i 0.451072 + 0.351150i
\(171\) 0.747613 0.543172i 0.0571714 0.0415374i
\(172\) 0.0852625 + 0.167337i 0.00650121 + 0.0127593i
\(173\) −0.716710 + 4.52513i −0.0544905 + 0.344039i 0.945348 + 0.326063i \(0.105722\pi\)
−0.999838 + 0.0179760i \(0.994278\pi\)
\(174\) −4.86825 + 6.70057i −0.369061 + 0.507969i
\(175\) −0.959376 10.5420i −0.0725220 0.796900i
\(176\) −3.11677 + 4.28986i −0.234935 + 0.323360i
\(177\) 0.144235 + 0.283077i 0.0108414 + 0.0212774i
\(178\) −8.56596 + 4.36457i −0.642046 + 0.327139i
\(179\) −4.07853 12.5524i −0.304844 0.938213i −0.979735 0.200296i \(-0.935810\pi\)
0.674891 0.737917i \(-0.264190\pi\)
\(180\) 0.620092 + 2.14837i 0.0462190 + 0.160130i
\(181\) 2.15102i 0.159884i 0.996800 + 0.0799419i \(0.0254735\pi\)
−0.996800 + 0.0799419i \(0.974527\pi\)
\(182\) −1.89915 0.967665i −0.140774 0.0717281i
\(183\) −0.0967580 + 0.610906i −0.00715256 + 0.0451595i
\(184\) −6.00225 4.36089i −0.442492 0.321489i
\(185\) −2.97147 1.64034i −0.218467 0.120600i
\(186\) 5.49673 0.886555i 0.403040 0.0650053i
\(187\) 12.4978 + 12.4978i 0.913927 + 0.913927i
\(188\) −4.24993 + 0.673123i −0.309958 + 0.0490925i
\(189\) −1.71278 + 1.24441i −0.124586 + 0.0905173i
\(190\) −0.390739 + 2.02907i −0.0283472 + 0.147204i
\(191\) 10.6294 0.769120 0.384560 0.923100i \(-0.374353\pi\)
0.384560 + 0.923100i \(0.374353\pi\)
\(192\) −0.707107 + 0.707107i −0.0510310 + 0.0510310i
\(193\) 4.07895 + 2.07833i 0.293609 + 0.149601i 0.594591 0.804029i \(-0.297314\pi\)
−0.300981 + 0.953630i \(0.597314\pi\)
\(194\) −8.37996 2.72281i −0.601646 0.195487i
\(195\) −0.0746420 + 2.24999i −0.00534523 + 0.161125i
\(196\) −2.03698 1.47995i −0.145498 0.105711i
\(197\) 19.9718 + 10.1761i 1.42293 + 0.725020i 0.984768 0.173875i \(-0.0556289\pi\)
0.438164 + 0.898895i \(0.355629\pi\)
\(198\) 0.829503 + 5.23727i 0.0589502 + 0.372197i
\(199\) 17.7718 12.9119i 1.25981 0.915303i 0.261059 0.965323i \(-0.415928\pi\)
0.998748 + 0.0500198i \(0.0159284\pi\)
\(200\) −4.29479 2.56022i −0.303688 0.181035i
\(201\) −5.87503 8.08628i −0.414393 0.570363i
\(202\) −1.79585 0.284434i −0.126355 0.0200127i
\(203\) 15.6235 7.96058i 1.09656 0.558723i
\(204\) 1.95921 + 2.69662i 0.137172 + 0.188801i
\(205\) −2.79844 + 7.73058i −0.195452 + 0.539927i
\(206\) 4.45259 + 13.7037i 0.310227 + 0.954780i
\(207\) −7.32785 + 1.16062i −0.509321 + 0.0806685i
\(208\) −0.897048 + 0.457069i −0.0621991 + 0.0316920i
\(209\) −1.51421 + 4.66027i −0.104740 + 0.322357i
\(210\) 0.895183 4.64860i 0.0617735 0.320784i
\(211\) 14.3435 0.987446 0.493723 0.869619i \(-0.335636\pi\)
0.493723 + 0.869619i \(0.335636\pi\)
\(212\) −0.219739 + 0.219739i −0.0150918 + 0.0150918i
\(213\) 2.07649 4.07534i 0.142279 0.279238i
\(214\) −0.438522 0.603574i −0.0299768 0.0412595i
\(215\) −0.380293 + 0.178142i −0.0259358 + 0.0121492i
\(216\) 1.00000i 0.0680414i
\(217\) −11.2209 3.61081i −0.761726 0.245118i
\(218\) −6.15412 + 6.15412i −0.416810 + 0.416810i
\(219\) −3.52335 + 4.84947i −0.238086 + 0.327697i
\(220\) −9.35607 7.28351i −0.630786 0.491054i
\(221\) 1.03700 + 3.19156i 0.0697562 + 0.214688i
\(222\) −1.07333 1.07333i −0.0720372 0.0720372i
\(223\) 18.3949 + 18.3949i 1.23182 + 1.23182i 0.963265 + 0.268551i \(0.0865448\pi\)
0.268551 + 0.963265i \(0.413455\pi\)
\(224\) 2.01349 0.654223i 0.134532 0.0437121i
\(225\) −4.84723 + 1.22653i −0.323149 + 0.0817685i
\(226\) 3.64440 11.2163i 0.242422 0.746098i
\(227\) −0.815959 5.15176i −0.0541571 0.341935i −0.999857 0.0168943i \(-0.994622\pi\)
0.945700 0.325040i \(-0.105378\pi\)
\(228\) −0.419533 + 0.823379i −0.0277842 + 0.0545296i
\(229\) −15.7801 11.4649i −1.04278 0.757623i −0.0719528 0.997408i \(-0.522923\pi\)
−0.970826 + 0.239785i \(0.922923\pi\)
\(230\) 10.1909 13.0908i 0.671968 0.863179i
\(231\) 3.46906 10.6767i 0.228247 0.702473i
\(232\) 1.29565 8.18040i 0.0850634 0.537069i
\(233\) 2.80936 17.7376i 0.184047 1.16203i −0.706695 0.707518i \(-0.749815\pi\)
0.890742 0.454509i \(-0.150185\pi\)
\(234\) −0.311112 + 0.957505i −0.0203380 + 0.0625941i
\(235\) −1.18923 9.54781i −0.0775770 0.622831i
\(236\) −0.257029 0.186742i −0.0167311 0.0121559i
\(237\) −0.721235 + 1.41550i −0.0468493 + 0.0919469i
\(238\) −1.10392 6.96988i −0.0715566 0.451791i
\(239\) 8.15640 25.1028i 0.527594 1.62377i −0.231535 0.972827i \(-0.574375\pi\)
0.759129 0.650940i \(-0.225625\pi\)
\(240\) −1.52785 1.63269i −0.0986220 0.105390i
\(241\) −4.64091 + 1.50792i −0.298947 + 0.0971339i −0.454650 0.890670i \(-0.650236\pi\)
0.155703 + 0.987804i \(0.450236\pi\)
\(242\) −12.1036 12.1036i −0.778051 0.778051i
\(243\) 0.707107 + 0.707107i 0.0453609 + 0.0453609i
\(244\) −0.191133 0.588248i −0.0122361 0.0376587i
\(245\) 3.45847 4.44259i 0.220953 0.283827i
\(246\) −2.16115 + 2.97457i −0.137790 + 0.189652i
\(247\) −0.657868 + 0.657868i −0.0418591 + 0.0418591i
\(248\) −4.49513 + 3.28539i −0.285441 + 0.208622i
\(249\) 15.7992i 1.00123i
\(250\) 6.04010 9.40836i 0.382009 0.595037i
\(251\) −6.87160 9.45795i −0.433732 0.596980i 0.535073 0.844806i \(-0.320284\pi\)
−0.968805 + 0.247825i \(0.920284\pi\)
\(252\) 0.961148 1.88636i 0.0605467 0.118830i
\(253\) 27.8181 27.8181i 1.74891 1.74891i
\(254\) 7.00546 0.439561
\(255\) −6.17176 + 4.17859i −0.386491 + 0.261673i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) −24.1113 + 12.2853i −1.50402 + 0.766338i −0.995505 0.0947134i \(-0.969807\pi\)
−0.508518 + 0.861051i \(0.669807\pi\)
\(258\) −0.185495 + 0.0293795i −0.0115484 + 0.00182909i
\(259\) 0.993057 + 3.05632i 0.0617056 + 0.189910i
\(260\) −0.954968 2.03864i −0.0592246 0.126431i
\(261\) −4.86825 6.70057i −0.301337 0.414755i
\(262\) −6.38854 + 3.25512i −0.394685 + 0.201102i
\(263\) −31.4526 4.98161i −1.93945 0.307179i −0.940028 0.341096i \(-0.889202\pi\)
−0.999425 + 0.0339170i \(0.989202\pi\)
\(264\) −3.11677 4.28986i −0.191824 0.264023i
\(265\) −0.474791 0.507373i −0.0291662 0.0311677i
\(266\) 1.58278 1.14996i 0.0970464 0.0705083i
\(267\) −1.50393 9.49544i −0.0920390 0.581112i
\(268\) 8.90579 + 4.53772i 0.544007 + 0.277186i
\(269\) −8.32019 6.04497i −0.507291 0.368569i 0.304504 0.952511i \(-0.401509\pi\)
−0.811795 + 0.583943i \(0.801509\pi\)
\(270\) −2.23484 0.0741394i −0.136008 0.00451198i
\(271\) 15.6090 + 5.07166i 0.948178 + 0.308082i 0.741975 0.670428i \(-0.233889\pi\)
0.206203 + 0.978509i \(0.433889\pi\)
\(272\) −2.96991 1.51324i −0.180077 0.0917539i
\(273\) 1.50717 1.50717i 0.0912183 0.0912183i
\(274\) −2.38712 −0.144211
\(275\) 16.9711 20.3693i 1.02340 1.22832i
\(276\) 6.00225 4.36089i 0.361293 0.262495i
\(277\) −21.2138 + 3.35994i −1.27461 + 0.201879i −0.756818 0.653625i \(-0.773247\pi\)
−0.517796 + 0.855504i \(0.673247\pi\)
\(278\) −13.6631 13.6631i −0.819458 0.819458i
\(279\) −0.855419 + 5.50166i −0.0512126 + 0.329376i
\(280\) 1.31280 + 4.54833i 0.0784551 + 0.271815i
\(281\) 17.0555 + 12.3915i 1.01744 + 0.739217i 0.965757 0.259447i \(-0.0835402\pi\)
0.0516869 + 0.998663i \(0.483540\pi\)
\(282\) 0.673123 4.24993i 0.0400839 0.253080i
\(283\) −3.15175 1.60590i −0.187352 0.0954608i 0.357798 0.933799i \(-0.383528\pi\)
−0.545151 + 0.838338i \(0.683528\pi\)
\(284\) 4.57386i 0.271409i
\(285\) −1.80902 0.998632i −0.107157 0.0591539i
\(286\) −1.64969 5.07723i −0.0975482 0.300223i
\(287\) 6.93571 3.53392i 0.409402 0.208601i
\(288\) −0.453990 0.891007i −0.0267516 0.0525031i
\(289\) 3.46191 4.76490i 0.203642 0.280289i
\(290\) 18.1858 + 3.50205i 1.06791 + 0.205648i
\(291\) 5.17910 7.12842i 0.303604 0.417875i
\(292\) 0.937711 5.92047i 0.0548754 0.346470i
\(293\) 0.0849462 + 0.166716i 0.00496261 + 0.00973968i 0.893475 0.449114i \(-0.148260\pi\)
−0.888512 + 0.458854i \(0.848260\pi\)
\(294\) 2.03698 1.47995i 0.118799 0.0863124i
\(295\) 0.436395 0.560573i 0.0254079 0.0326378i
\(296\) 1.44363 + 0.469062i 0.0839090 + 0.0272637i
\(297\) −5.23727 0.829503i −0.303897 0.0481326i
\(298\) −15.5601 + 2.46448i −0.901372 + 0.142763i
\(299\) 7.10392 2.30820i 0.410830 0.133487i
\(300\) 3.76208 3.29344i 0.217204 0.190147i
\(301\) 0.378148 + 0.122868i 0.0217961 + 0.00708197i
\(302\) 10.9450 + 21.4807i 0.629813 + 1.23608i
\(303\) 0.825461 1.62006i 0.0474215 0.0930699i
\(304\) 0.924100i 0.0530008i
\(305\) 1.32881 0.383540i 0.0760875 0.0219614i
\(306\) −3.17007 + 1.03002i −0.181221 + 0.0588821i
\(307\) 6.76472 + 1.07143i 0.386083 + 0.0611496i 0.346459 0.938065i \(-0.387384\pi\)
0.0396241 + 0.999215i \(0.487384\pi\)
\(308\) 1.75615 + 11.0879i 0.100066 + 0.631791i
\(309\) −14.4089 −0.819693
\(310\) −7.00905 10.2895i −0.398087 0.584403i
\(311\) −15.0138 −0.851352 −0.425676 0.904876i \(-0.639964\pi\)
−0.425676 + 0.904876i \(0.639964\pi\)
\(312\) −0.157495 0.994385i −0.00891641 0.0562960i
\(313\) −7.78558 1.23312i −0.440067 0.0696998i −0.0675304 0.997717i \(-0.521512\pi\)
−0.372537 + 0.928017i \(0.621512\pi\)
\(314\) 7.82066 2.54109i 0.441346 0.143402i
\(315\) 4.14445 + 2.28787i 0.233513 + 0.128907i
\(316\) 1.58866i 0.0893690i
\(317\) −7.88346 + 15.4722i −0.442779 + 0.869004i 0.556493 + 0.830853i \(0.312147\pi\)
−0.999272 + 0.0381510i \(0.987853\pi\)
\(318\) −0.141081 0.276888i −0.00791145 0.0155271i
\(319\) 41.7682 + 13.5713i 2.33857 + 0.759848i
\(320\) 2.10255 + 0.761114i 0.117536 + 0.0425476i
\(321\) 0.709544 0.230545i 0.0396029 0.0128678i
\(322\) −15.5139 + 2.45716i −0.864555 + 0.136932i
\(323\) −3.04229 0.481852i −0.169278 0.0268109i
\(324\) −0.951057 0.309017i −0.0528365 0.0171676i
\(325\) 4.62684 1.98306i 0.256651 0.110000i
\(326\) −8.52821 + 6.19611i −0.472334 + 0.343171i
\(327\) −3.95119 7.75464i −0.218501 0.428833i
\(328\) 0.575174 3.63150i 0.0317587 0.200516i
\(329\) −5.35456 + 7.36993i −0.295207 + 0.406317i
\(330\) 9.81822 6.64742i 0.540475 0.365928i
\(331\) −7.21822 + 9.93502i −0.396749 + 0.546078i −0.959924 0.280259i \(-0.909580\pi\)
0.563175 + 0.826337i \(0.309580\pi\)
\(332\) −7.17268 14.0772i −0.393652 0.772585i
\(333\) 1.35247 0.689120i 0.0741151 0.0377635i
\(334\) 5.44574 + 16.7603i 0.297978 + 0.917081i
\(335\) −10.8014 + 19.5666i −0.590141 + 1.06904i
\(336\) 2.11711i 0.115498i
\(337\) −14.4701 7.37288i −0.788237 0.401627i 0.0130443 0.999915i \(-0.495848\pi\)
−0.801281 + 0.598288i \(0.795848\pi\)
\(338\) −1.87509 + 11.8388i −0.101991 + 0.643947i
\(339\) 9.54116 + 6.93206i 0.518205 + 0.376498i
\(340\) 3.60204 6.52507i 0.195348 0.353872i
\(341\) −13.4778 26.2675i −0.729861 1.42246i
\(342\) −0.653437 0.653437i −0.0353338 0.0353338i
\(343\) −19.9022 + 3.15221i −1.07462 + 0.170203i
\(344\) 0.151939 0.110390i 0.00819200 0.00595184i
\(345\) 9.30089 + 13.7374i 0.500743 + 0.739596i
\(346\) 4.58154 0.246305
\(347\) 7.68477 7.68477i 0.412540 0.412540i −0.470082 0.882623i \(-0.655776\pi\)
0.882623 + 0.470082i \(0.155776\pi\)
\(348\) 7.37964 + 3.76012i 0.395590 + 0.201563i
\(349\) −16.3594 5.31549i −0.875698 0.284531i −0.163528 0.986539i \(-0.552287\pi\)
−0.712170 + 0.702007i \(0.752287\pi\)
\(350\) −10.2621 + 2.59670i −0.548534 + 0.138799i
\(351\) −0.814502 0.591771i −0.0434749 0.0315864i
\(352\) 4.72461 + 2.40731i 0.251823 + 0.128310i
\(353\) 3.91664 + 24.7287i 0.208462 + 1.31617i 0.840742 + 0.541435i \(0.182119\pi\)
−0.632281 + 0.774739i \(0.717881\pi\)
\(354\) 0.257029 0.186742i 0.0136609 0.00992524i
\(355\) −10.2218 0.339103i −0.542519 0.0179977i
\(356\) 5.65085 + 7.77773i 0.299495 + 0.412219i
\(357\) 6.96988 + 1.10392i 0.368885 + 0.0584257i
\(358\) −11.7599 + 5.99195i −0.621529 + 0.316685i
\(359\) 12.8956 + 17.7493i 0.680606 + 0.936774i 0.999941 0.0108679i \(-0.00345943\pi\)
−0.319335 + 0.947642i \(0.603459\pi\)
\(360\) 2.02491 0.948537i 0.106722 0.0499923i
\(361\) 5.60743 + 17.2579i 0.295128 + 0.908311i
\(362\) 2.12453 0.336493i 0.111663 0.0176857i
\(363\) 15.2515 7.77101i 0.800494 0.407872i
\(364\) −0.658659 + 2.02714i −0.0345231 + 0.106251i
\(365\) 13.1618 + 2.53457i 0.688919 + 0.132666i
\(366\) 0.618521 0.0323306
\(367\) 2.59731 2.59731i 0.135578 0.135578i −0.636061 0.771639i \(-0.719437\pi\)
0.771639 + 0.636061i \(0.219437\pi\)
\(368\) −3.36824 + 6.61055i −0.175582 + 0.344599i
\(369\) −2.16115 2.97457i −0.112505 0.154850i
\(370\) −1.15531 + 3.19149i −0.0600616 + 0.165918i
\(371\) 0.657910i 0.0341570i
\(372\) −1.73552 5.29037i −0.0899824 0.274293i
\(373\) −10.8698 + 10.8698i −0.562815 + 0.562815i −0.930106 0.367291i \(-0.880285\pi\)
0.367291 + 0.930106i \(0.380285\pi\)
\(374\) 10.3888 14.2990i 0.537193 0.739383i
\(375\) 7.08139 + 8.65182i 0.365681 + 0.446778i
\(376\) 1.32967 + 4.09231i 0.0685725 + 0.211045i
\(377\) 5.89623 + 5.89623i 0.303671 + 0.303671i
\(378\) 1.49702 + 1.49702i 0.0769986 + 0.0769986i
\(379\) 24.2289 7.87243i 1.24455 0.404380i 0.388587 0.921412i \(-0.372963\pi\)
0.855966 + 0.517032i \(0.172963\pi\)
\(380\) 2.06521 + 0.0685122i 0.105943 + 0.00351460i
\(381\) −2.16481 + 6.66259i −0.110906 + 0.341335i
\(382\) −1.66281 10.4986i −0.0850769 0.537154i
\(383\) −14.5335 + 28.5235i −0.742625 + 1.45748i 0.141355 + 0.989959i \(0.454854\pi\)
−0.883980 + 0.467525i \(0.845146\pi\)
\(384\) 0.809017 + 0.587785i 0.0412850 + 0.0299953i
\(385\) −24.9098 + 3.10266i −1.26952 + 0.158126i
\(386\) 1.41465 4.35386i 0.0720040 0.221605i
\(387\) 0.0293795 0.185495i 0.00149344 0.00942922i
\(388\) −1.37838 + 8.70273i −0.0699765 + 0.441814i
\(389\) 0.376711 1.15940i 0.0191000 0.0587838i −0.941052 0.338261i \(-0.890161\pi\)
0.960152 + 0.279478i \(0.0901612\pi\)
\(390\) 2.23397 0.278253i 0.113121 0.0140899i
\(391\) 20.0067 + 14.5358i 1.01178 + 0.735105i
\(392\) −1.14308 + 2.24341i −0.0577340 + 0.113309i
\(393\) −1.12164 7.08175i −0.0565792 0.357227i
\(394\) 6.92658 21.3178i 0.348956 1.07398i
\(395\) 3.55039 + 0.117782i 0.178640 + 0.00592626i
\(396\) 5.04303 1.63858i 0.253422 0.0823418i
\(397\) 8.20239 + 8.20239i 0.411666 + 0.411666i 0.882319 0.470652i \(-0.155981\pi\)
−0.470652 + 0.882319i \(0.655981\pi\)
\(398\) −15.5331 15.5331i −0.778603 0.778603i
\(399\) 0.604568 + 1.86067i 0.0302662 + 0.0931499i
\(400\) −1.85685 + 4.64243i −0.0928424 + 0.232121i
\(401\) 12.5481 17.2710i 0.626621 0.862470i −0.371193 0.928556i \(-0.621051\pi\)
0.997814 + 0.0660857i \(0.0210511\pi\)
\(402\) −7.06767 + 7.06767i −0.352503 + 0.352503i
\(403\) −0.0158687 5.60549i −0.000790476 0.279229i
\(404\) 1.81823i 0.0904605i
\(405\) 0.761114 2.10255i 0.0378200 0.104476i
\(406\) −10.3066 14.1859i −0.511510 0.704033i
\(407\) −3.65410 + 7.17157i −0.181127 + 0.355482i
\(408\) 2.35693 2.35693i 0.116686 0.116686i
\(409\) 1.47317 0.0728435 0.0364218 0.999337i \(-0.488404\pi\)
0.0364218 + 0.999337i \(0.488404\pi\)
\(410\) 8.07318 + 1.55466i 0.398706 + 0.0767791i
\(411\) 0.737660 2.27028i 0.0363861 0.111985i
\(412\) 12.8384 6.54150i 0.632503 0.322276i
\(413\) −0.664336 + 0.105220i −0.0326898 + 0.00517756i
\(414\) 2.29266 + 7.05607i 0.112678 + 0.346787i
\(415\) 31.9920 14.9861i 1.57042 0.735639i
\(416\) 0.591771 + 0.814502i 0.0290139 + 0.0399343i
\(417\) 17.2165 8.77225i 0.843096 0.429579i
\(418\) 4.83977 + 0.766544i 0.236721 + 0.0374929i
\(419\) 20.9548 + 28.8418i 1.02371 + 1.40901i 0.909572 + 0.415547i \(0.136410\pi\)
0.114135 + 0.993465i \(0.463590\pi\)
\(420\) −4.73140 0.156961i −0.230869 0.00765893i
\(421\) −22.3044 + 16.2051i −1.08705 + 0.789788i −0.978899 0.204346i \(-0.934493\pi\)
−0.108151 + 0.994134i \(0.534493\pi\)
\(422\) −2.24381 14.1669i −0.109227 0.689633i
\(423\) 3.83392 + 1.95348i 0.186411 + 0.0949814i
\(424\) 0.251409 + 0.182659i 0.0122095 + 0.00887072i
\(425\) 14.3154 + 8.53375i 0.694400 + 0.413947i
\(426\) −4.35000 1.41340i −0.210758 0.0684795i
\(427\) −1.16675 0.594490i −0.0564631 0.0287694i
\(428\) −0.527543 + 0.527543i −0.0254998 + 0.0254998i
\(429\) 5.33851 0.257746
\(430\) 0.235439 + 0.347743i 0.0113539 + 0.0167697i
\(431\) −18.6793 + 13.5713i −0.899750 + 0.653707i −0.938402 0.345546i \(-0.887694\pi\)
0.0386517 + 0.999253i \(0.487694\pi\)
\(432\) 0.987688 0.156434i 0.0475202 0.00752646i
\(433\) 1.58373 + 1.58373i 0.0761094 + 0.0761094i 0.744137 0.668027i \(-0.232861\pi\)
−0.668027 + 0.744137i \(0.732861\pi\)
\(434\) −1.81102 + 11.6476i −0.0869316 + 0.559104i
\(435\) −8.95037 + 16.2135i −0.429138 + 0.777380i
\(436\) 7.04107 + 5.11564i 0.337206 + 0.244994i
\(437\) −1.07253 + 6.77167i −0.0513059 + 0.323933i
\(438\) 5.34094 + 2.72134i 0.255200 + 0.130031i
\(439\) 16.9195i 0.807524i −0.914864 0.403762i \(-0.867702\pi\)
0.914864 0.403762i \(-0.132298\pi\)
\(440\) −5.73023 + 10.3803i −0.273178 + 0.494860i
\(441\) 0.778055 + 2.39461i 0.0370503 + 0.114029i
\(442\) 2.99004 1.52350i 0.142222 0.0724657i
\(443\) 8.60318 + 16.8847i 0.408749 + 0.802216i 0.999991 0.00427871i \(-0.00136196\pi\)
−0.591241 + 0.806495i \(0.701362\pi\)
\(444\) −0.892209 + 1.22802i −0.0423424 + 0.0582793i
\(445\) −17.8009 + 12.0521i −0.843845 + 0.571325i
\(446\) 15.2909 21.0461i 0.724044 0.996560i
\(447\) 2.46448 15.5601i 0.116566 0.735967i
\(448\) −0.961148 1.88636i −0.0454100 0.0891221i
\(449\) −15.4616 + 11.2335i −0.729676 + 0.530141i −0.889461 0.457011i \(-0.848920\pi\)
0.159785 + 0.987152i \(0.448920\pi\)
\(450\) 1.96970 + 4.59568i 0.0928526 + 0.216642i
\(451\) 18.5421 + 6.02468i 0.873112 + 0.283691i
\(452\) −11.6483 1.84491i −0.547891 0.0867774i
\(453\) −23.8116 + 3.77138i −1.11877 + 0.177195i
\(454\) −4.96069 + 1.61183i −0.232817 + 0.0756468i
\(455\) −4.48151 1.62229i −0.210096 0.0760540i
\(456\) 0.878871 + 0.285563i 0.0411569 + 0.0133727i
\(457\) −4.61199 9.05155i −0.215740 0.423413i 0.757620 0.652696i \(-0.226362\pi\)
−0.973360 + 0.229282i \(0.926362\pi\)
\(458\) −8.85521 + 17.3793i −0.413777 + 0.812083i
\(459\) 3.33320i 0.155581i
\(460\) −14.5238 8.01758i −0.677175 0.373822i
\(461\) −17.6890 + 5.74750i −0.823859 + 0.267688i −0.690456 0.723374i \(-0.742590\pi\)
−0.133402 + 0.991062i \(0.542590\pi\)
\(462\) −11.0879 1.75615i −0.515855 0.0817035i
\(463\) 5.85768 + 36.9839i 0.272229 + 1.71879i 0.622911 + 0.782293i \(0.285950\pi\)
−0.350681 + 0.936495i \(0.614050\pi\)
\(464\) −8.28237 −0.384499
\(465\) 11.9518 3.48638i 0.554251 0.161677i
\(466\) −17.9587 −0.831919
\(467\) 2.65301 + 16.7504i 0.122767 + 0.775118i 0.969858 + 0.243671i \(0.0783516\pi\)
−0.847092 + 0.531447i \(0.821648\pi\)
\(468\) 0.994385 + 0.157495i 0.0459655 + 0.00728021i
\(469\) 20.1253 6.53909i 0.929298 0.301947i
\(470\) −9.24422 + 2.66820i −0.426404 + 0.123075i
\(471\) 8.22313i 0.378902i
\(472\) −0.144235 + 0.283077i −0.00663895 + 0.0130297i
\(473\) 0.452110 + 0.887315i 0.0207880 + 0.0407988i
\(474\) 1.51090 + 0.490922i 0.0693981 + 0.0225488i
\(475\) −0.306227 + 4.61034i −0.0140507 + 0.211537i
\(476\) −6.71138 + 2.18066i −0.307616 + 0.0999504i
\(477\) 0.306932 0.0486133i 0.0140535 0.00222585i
\(478\) −26.0697 4.12904i −1.19240 0.188858i
\(479\) −15.7904 5.13060i −0.721480 0.234423i −0.0748154 0.997197i \(-0.523837\pi\)
−0.646665 + 0.762774i \(0.723837\pi\)
\(480\) −1.37359 + 1.76444i −0.0626953 + 0.0805355i
\(481\) −1.23635 + 0.898259i −0.0563726 + 0.0409571i
\(482\) 2.21536 + 4.34788i 0.100907 + 0.198041i
\(483\) 2.45716 15.5139i 0.111805 0.705906i
\(484\) −10.0612 + 13.8480i −0.457327 + 0.629456i
\(485\) −19.3470 3.72566i −0.878502 0.169174i
\(486\) 0.587785 0.809017i 0.0266625 0.0366978i
\(487\) 8.04640 + 15.7919i 0.364617 + 0.715601i 0.998318 0.0579769i \(-0.0184650\pi\)
−0.633701 + 0.773578i \(0.718465\pi\)
\(488\) −0.551106 + 0.280803i −0.0249474 + 0.0127113i
\(489\) −3.25749 10.0255i −0.147309 0.453369i
\(490\) −4.92892 2.72091i −0.222666 0.122918i
\(491\) 26.4962i 1.19576i 0.801587 + 0.597879i \(0.203990\pi\)
−0.801587 + 0.597879i \(0.796010\pi\)
\(492\) 3.27603 + 1.66922i 0.147695 + 0.0752542i
\(493\) −4.31866 + 27.2669i −0.194503 + 1.22804i
\(494\) 0.752682 + 0.546855i 0.0338647 + 0.0246042i
\(495\) 3.28808 + 11.3918i 0.147788 + 0.512025i
\(496\) 3.94813 + 3.92584i 0.177276 + 0.176276i
\(497\) 6.84718 + 6.84718i 0.307138 + 0.307138i
\(498\) 15.6047 2.47154i 0.699262 0.110752i
\(499\) 13.4592 9.77868i 0.602516 0.437754i −0.244255 0.969711i \(-0.578543\pi\)
0.846771 + 0.531957i \(0.178543\pi\)
\(500\) −10.2374 4.49394i −0.457831 0.200975i
\(501\) −17.6228 −0.787328
\(502\) −8.26655 + 8.26655i −0.368954 + 0.368954i
\(503\) −5.89998 3.00619i −0.263067 0.134039i 0.317483 0.948264i \(-0.397162\pi\)
−0.580550 + 0.814225i \(0.697162\pi\)
\(504\) −2.01349 0.654223i −0.0896881 0.0291414i
\(505\) −4.06346 0.134803i −0.180822 0.00599864i
\(506\) −31.8273 23.1239i −1.41490 1.02798i
\(507\) −10.6800 5.44171i −0.474313 0.241675i
\(508\) −1.09589 6.91921i −0.0486225 0.306990i
\(509\) −35.4170 + 25.7320i −1.56983 + 1.14055i −0.642515 + 0.766273i \(0.722109\pi\)
−0.927317 + 0.374277i \(0.877891\pi\)
\(510\) 5.09262 + 5.44210i 0.225505 + 0.240980i
\(511\) −7.45931 10.2669i −0.329981 0.454179i
\(512\) −0.987688 0.156434i −0.0436501 0.00691349i
\(513\) 0.823379 0.419533i 0.0363531 0.0185228i
\(514\) 15.9059 + 21.8926i 0.701580 + 0.965642i
\(515\) 13.6674 + 29.1768i 0.602256 + 1.28568i
\(516\) 0.0580355 + 0.178615i 0.00255487 + 0.00786309i
\(517\) −22.5355 + 3.56927i −0.991110 + 0.156976i
\(518\) 2.86334 1.45894i 0.125808 0.0641023i
\(519\) −1.41577 + 4.35730i −0.0621455 + 0.191264i
\(520\) −1.86415 + 1.26213i −0.0817486 + 0.0553478i
\(521\) −1.64903 −0.0722452 −0.0361226 0.999347i \(-0.511501\pi\)
−0.0361226 + 0.999347i \(0.511501\pi\)
\(522\) −5.85652 + 5.85652i −0.256333 + 0.256333i
\(523\) 14.0042 27.4848i 0.612362 1.20183i −0.351691 0.936116i \(-0.614393\pi\)
0.964053 0.265711i \(-0.0856067\pi\)
\(524\) 4.21443 + 5.80067i 0.184108 + 0.253403i
\(525\) 0.701566 10.5623i 0.0306189 0.460976i
\(526\) 31.8447i 1.38850i
\(527\) 14.9832 10.9509i 0.652678 0.477027i
\(528\) −3.74947 + 3.74947i −0.163175 + 0.163175i
\(529\) 18.8353 25.9245i 0.818924 1.12715i
\(530\) −0.426853 + 0.548316i −0.0185413 + 0.0238173i
\(531\) 0.0981762 + 0.302155i 0.00426049 + 0.0131124i
\(532\) −1.38340 1.38340i −0.0599780 0.0599780i
\(533\) 2.61750 + 2.61750i 0.113376 + 0.113376i
\(534\) −9.14327 + 2.97083i −0.395668 + 0.128560i
\(535\) −1.13986 1.21809i −0.0492805 0.0526624i
\(536\) 3.08869 9.50600i 0.133411 0.410597i
\(537\) −2.06469 13.0359i −0.0890978 0.562541i
\(538\) −4.66898 + 9.16340i −0.201294 + 0.395062i
\(539\) −10.8012 7.84752i −0.465240 0.338016i
\(540\) 0.276379 + 2.21892i 0.0118935 + 0.0954872i
\(541\) 4.93145 15.1774i 0.212019 0.652529i −0.787332 0.616529i \(-0.788538\pi\)
0.999352 0.0359999i \(-0.0114616\pi\)
\(542\) 2.56744 16.2102i 0.110281 0.696287i
\(543\) −0.336493 + 2.12453i −0.0144403 + 0.0911725i
\(544\) −1.03002 + 3.17007i −0.0441616 + 0.135915i
\(545\) −11.9546 + 15.3564i −0.512080 + 0.657795i
\(546\) −1.72439 1.25284i −0.0737972 0.0536168i
\(547\) −0.903230 + 1.77269i −0.0386193 + 0.0757947i −0.909510 0.415682i \(-0.863543\pi\)
0.870891 + 0.491477i \(0.163543\pi\)
\(548\) 0.373427 + 2.35773i 0.0159520 + 0.100717i
\(549\) −0.191133 + 0.588248i −0.00815738 + 0.0251058i
\(550\) −22.7734 13.5757i −0.971061 0.578871i
\(551\) −7.27913 + 2.36513i −0.310102 + 0.100758i
\(552\) −5.24616 5.24616i −0.223292 0.223292i
\(553\) −2.37826 2.37826i −0.101134 0.101134i
\(554\) 6.63714 + 20.4270i 0.281985 + 0.867861i
\(555\) −2.67828 2.08499i −0.113687 0.0885028i
\(556\) −11.3575 + 15.6323i −0.481666 + 0.662956i
\(557\) −29.6321 + 29.6321i −1.25555 + 1.25555i −0.302355 + 0.953195i \(0.597773\pi\)
−0.953195 + 0.302355i \(0.902227\pi\)
\(558\) 5.56774 0.0157618i 0.235701 0.000667251i
\(559\) 0.189080i 0.00799724i
\(560\) 4.28697 2.00816i 0.181157 0.0848602i
\(561\) 10.3888 + 14.2990i 0.438616 + 0.603703i
\(562\) 9.57090 18.7840i 0.403724 0.792353i
\(563\) 20.1130 20.1130i 0.847660 0.847660i −0.142181 0.989841i \(-0.545411\pi\)
0.989841 + 0.142181i \(0.0454114\pi\)
\(564\) −4.30291 −0.181185
\(565\) 4.98668 25.8953i 0.209791 1.08943i
\(566\) −1.09308 + 3.36417i −0.0459458 + 0.141407i
\(567\) −1.88636 + 0.961148i −0.0792197 + 0.0403644i
\(568\) 4.51755 0.715509i 0.189552 0.0300221i
\(569\) 11.9077 + 36.6480i 0.499195 + 1.53637i 0.810315 + 0.585995i \(0.199296\pi\)
−0.311120 + 0.950371i \(0.600704\pi\)
\(570\) −0.703345 + 1.94296i −0.0294599 + 0.0813818i
\(571\) −12.9290 17.7952i −0.541060 0.744706i 0.447705 0.894181i \(-0.352241\pi\)
−0.988765 + 0.149475i \(0.952241\pi\)
\(572\) −4.75665 + 2.42363i −0.198885 + 0.101337i
\(573\) 10.4986 + 1.66281i 0.438585 + 0.0694650i
\(574\) −4.57540 6.29750i −0.190973 0.262852i
\(575\) 18.9948 31.8639i 0.792138 1.32882i
\(576\) −0.809017 + 0.587785i −0.0337090 + 0.0244911i
\(577\) 0.490834 + 3.09901i 0.0204337 + 0.129013i 0.995796 0.0915938i \(-0.0291961\pi\)
−0.975363 + 0.220607i \(0.929196\pi\)
\(578\) −5.24780 2.67389i −0.218280 0.111219i
\(579\) 3.70361 + 2.69083i 0.153917 + 0.111827i
\(580\) 0.614049 18.5098i 0.0254970 0.768576i
\(581\) −31.8115 10.3362i −1.31976 0.428817i
\(582\) −7.85084 4.00021i −0.325428 0.165814i
\(583\) −1.16518 + 1.16518i −0.0482569 + 0.0482569i
\(584\) −5.99427 −0.248045
\(585\) −0.425699 + 2.21061i −0.0176005 + 0.0913976i
\(586\) 0.151375 0.109981i 0.00625326 0.00454326i
\(587\) −19.7780 + 3.13253i −0.816327 + 0.129294i −0.550615 0.834759i \(-0.685607\pi\)
−0.265712 + 0.964053i \(0.585607\pi\)
\(588\) −1.78038 1.78038i −0.0734217 0.0734217i
\(589\) 4.59098 + 2.32287i 0.189168 + 0.0957123i
\(590\) −0.621938 0.343329i −0.0256048 0.0141346i
\(591\) 18.1340 + 13.1751i 0.745934 + 0.541952i
\(592\) 0.237455 1.49923i 0.00975932 0.0616179i
\(593\) −4.61366 2.35078i −0.189460 0.0965348i 0.356687 0.934224i \(-0.383906\pi\)
−0.546147 + 0.837689i \(0.683906\pi\)
\(594\) 5.30256i 0.217567i
\(595\) −4.37585 15.1605i −0.179392 0.621521i
\(596\) 4.86827 + 14.9830i 0.199412 + 0.613727i
\(597\) 19.5728 9.97286i 0.801063 0.408162i
\(598\) −3.39108 6.65537i −0.138672 0.272158i
\(599\) −22.8223 + 31.4121i −0.932492 + 1.28347i 0.0263872 + 0.999652i \(0.491600\pi\)
−0.958879 + 0.283814i \(0.908400\pi\)
\(600\) −3.84141 3.20056i −0.156825 0.130662i
\(601\) 4.98062 6.85524i 0.203164 0.279631i −0.695262 0.718756i \(-0.744712\pi\)
0.898426 + 0.439125i \(0.144712\pi\)
\(602\) 0.0621996 0.392713i 0.00253507 0.0160058i
\(603\) −4.53772 8.90579i −0.184790 0.362672i
\(604\) 19.5041 14.1706i 0.793610 0.576592i
\(605\) −30.2022 23.5118i −1.22789 0.955891i
\(606\) −1.72924 0.561865i −0.0702457 0.0228242i
\(607\) 32.3659 + 5.12625i 1.31369 + 0.208068i 0.773673 0.633585i \(-0.218417\pi\)
0.540018 + 0.841653i \(0.318417\pi\)
\(608\) −0.912723 + 0.144561i −0.0370158 + 0.00586273i
\(609\) 16.6765 5.41852i 0.675765 0.219569i
\(610\) −0.586690 1.25245i −0.0237544 0.0507103i
\(611\) −4.12005 1.33869i −0.166680 0.0541575i
\(612\) 1.51324 + 2.96991i 0.0611692 + 0.120051i
\(613\) 10.4204 20.4513i 0.420877 0.826018i −0.579065 0.815281i \(-0.696582\pi\)
0.999942 0.0107369i \(-0.00341773\pi\)
\(614\) 6.84905i 0.276405i
\(615\) −3.97332 + 7.19764i −0.160220 + 0.290237i
\(616\) 10.6767 3.46906i 0.430175 0.139772i
\(617\) 21.5082 + 3.40657i 0.865890 + 0.137143i 0.573549 0.819171i \(-0.305566\pi\)
0.292340 + 0.956314i \(0.405566\pi\)
\(618\) 2.25405 + 14.2315i 0.0906710 + 0.572474i
\(619\) 18.8818 0.758925 0.379462 0.925207i \(-0.376109\pi\)
0.379462 + 0.925207i \(0.376109\pi\)
\(620\) −9.06634 + 8.53238i −0.364113 + 0.342669i
\(621\) −7.41920 −0.297722
\(622\) 2.34867 + 14.8289i 0.0941730 + 0.594585i
\(623\) 20.1029 + 3.18399i 0.805406 + 0.127564i
\(624\) −0.957505 + 0.311112i −0.0383309 + 0.0124545i
\(625\) 10.8022 22.5458i 0.432089 0.901831i
\(626\) 7.88263i 0.315053i
\(627\) −2.22460 + 4.36602i −0.0888418 + 0.174362i
\(628\) −3.73322 7.32686i −0.148972 0.292374i
\(629\) −4.81190 1.56348i −0.191863 0.0623401i
\(630\) 1.61136 4.45133i 0.0641982 0.177345i
\(631\) −26.5225 + 8.61770i −1.05585 + 0.343065i −0.784960 0.619546i \(-0.787317\pi\)
−0.270886 + 0.962611i \(0.587317\pi\)
\(632\) −1.56910 + 0.248521i −0.0624154 + 0.00988563i
\(633\) 14.1669 + 2.24381i 0.563083 + 0.0891836i
\(634\) 16.5149 + 5.36602i 0.655892 + 0.213112i
\(635\) 15.5446 1.93616i 0.616867 0.0768343i
\(636\) −0.251409 + 0.182659i −0.00996901 + 0.00724291i
\(637\) −1.15083 2.25862i −0.0455974 0.0894899i
\(638\) 6.87025 43.3770i 0.271996 1.71731i
\(639\) 2.68845 3.70033i 0.106353 0.146383i
\(640\) 0.422832 2.19573i 0.0167139 0.0867937i
\(641\) 22.2961 30.6880i 0.880644 1.21210i −0.0955982 0.995420i \(-0.530476\pi\)
0.976242 0.216682i \(-0.0695236\pi\)
\(642\) −0.338704 0.664743i −0.0133676 0.0262353i
\(643\) −15.9105 + 8.10680i −0.627449 + 0.319701i −0.738642 0.674098i \(-0.764533\pi\)
0.111193 + 0.993799i \(0.464533\pi\)
\(644\) 4.85381 + 14.9385i 0.191267 + 0.588659i
\(645\) −0.403478 + 0.116458i −0.0158869 + 0.00458551i
\(646\) 3.08021i 0.121189i
\(647\) −17.0458 8.68529i −0.670141 0.341454i 0.0855950 0.996330i \(-0.472721\pi\)
−0.755736 + 0.654876i \(0.772721\pi\)
\(648\) −0.156434 + 0.987688i −0.00614533 + 0.0388001i
\(649\) −1.36291 0.990212i −0.0534989 0.0388692i
\(650\) −2.68244 4.25966i −0.105214 0.167078i
\(651\) −10.5179 5.32169i −0.412230 0.208574i
\(652\) 7.45393 + 7.45393i 0.291918 + 0.291918i
\(653\) 37.2934 5.90669i 1.45940 0.231147i 0.624275 0.781204i \(-0.285394\pi\)
0.835127 + 0.550058i \(0.185394\pi\)
\(654\) −7.04107 + 5.11564i −0.275328 + 0.200037i
\(655\) −13.2760 + 8.98852i −0.518737 + 0.351211i
\(656\) −3.67677 −0.143554
\(657\) −4.23859 + 4.23859i −0.165363 + 0.165363i
\(658\) 8.11683 + 4.13573i 0.316427 + 0.161228i
\(659\) −32.0615 10.4174i −1.24894 0.405805i −0.391398 0.920222i \(-0.628008\pi\)
−0.857540 + 0.514417i \(0.828008\pi\)
\(660\) −8.10149 8.65745i −0.315350 0.336991i
\(661\) 8.38366 + 6.09108i 0.326086 + 0.236916i 0.738768 0.673960i \(-0.235408\pi\)
−0.412682 + 0.910875i \(0.635408\pi\)
\(662\) 10.9419 + 5.57517i 0.425268 + 0.216685i
\(663\) 0.524964 + 3.31449i 0.0203879 + 0.128724i
\(664\) −12.7818 + 9.28652i −0.496030 + 0.360387i
\(665\) 3.19424 2.98911i 0.123867 0.115913i
\(666\) −0.892209 1.22802i −0.0345724 0.0475848i
\(667\) 60.6920 + 9.61266i 2.35000 + 0.372204i
\(668\) 15.7020 8.00058i 0.607530 0.309552i
\(669\) 15.2909 + 21.0461i 0.591179 + 0.813688i
\(670\) 21.0154 + 7.60748i 0.811895 + 0.293903i
\(671\) −1.01350 3.11922i −0.0391256 0.120416i
\(672\) 2.09105 0.331189i 0.0806639 0.0127759i
\(673\) −11.7868 + 6.00568i −0.454348 + 0.231502i −0.666160 0.745809i \(-0.732063\pi\)
0.211813 + 0.977310i \(0.432063\pi\)
\(674\) −5.01849 + 15.4453i −0.193305 + 0.594932i
\(675\) −4.97942 + 0.453153i −0.191658 + 0.0174419i
\(676\) 11.9864 0.461015
\(677\) 31.1090 31.1090i 1.19562 1.19562i 0.220149 0.975466i \(-0.429346\pi\)
0.975466 0.220149i \(-0.0706543\pi\)
\(678\) 5.35415 10.5081i 0.205625 0.403561i
\(679\) 10.9647 + 15.0917i 0.420788 + 0.579165i
\(680\) −7.00822 2.53695i −0.268753 0.0972875i
\(681\) 5.21598i 0.199877i
\(682\) −23.8357 + 17.4210i −0.912716 + 0.667083i
\(683\) 13.9077 13.9077i 0.532164 0.532164i −0.389052 0.921216i \(-0.627197\pi\)
0.921216 + 0.389052i \(0.127197\pi\)
\(684\) −0.543172 + 0.747613i −0.0207687 + 0.0285857i
\(685\) −5.29683 + 0.659750i −0.202381 + 0.0252077i
\(686\) 6.22679 + 19.1641i 0.237740 + 0.731689i
\(687\) −13.7923 13.7923i −0.526210 0.526210i
\(688\) −0.132800 0.132800i −0.00506293 0.00506293i
\(689\) −0.297553 + 0.0966807i −0.0113359 + 0.00368324i
\(690\) 12.1133 11.3354i 0.461144 0.431531i
\(691\) −8.83464 + 27.1902i −0.336085 + 1.03436i 0.630100 + 0.776514i \(0.283014\pi\)
−0.966185 + 0.257850i \(0.916986\pi\)
\(692\) −0.716710 4.52513i −0.0272452 0.172020i
\(693\) 5.09654 10.0025i 0.193602 0.379965i
\(694\) −8.79232 6.38799i −0.333752 0.242485i
\(695\) −34.0936 26.5412i −1.29324 1.00676i
\(696\) 2.55939 7.87700i 0.0970135 0.298577i
\(697\) −1.91717 + 12.1045i −0.0726180 + 0.458492i
\(698\) −2.69087 + 16.9895i −0.101851 + 0.643062i
\(699\) 5.54953 17.0797i 0.209903 0.646014i
\(700\) 4.17008 + 9.72957i 0.157614 + 0.367743i
\(701\) −40.0420 29.0922i −1.51236 1.09880i −0.965115 0.261826i \(-0.915675\pi\)
−0.547249 0.836970i \(-0.684325\pi\)
\(702\) −0.457069 + 0.897048i −0.0172509 + 0.0338569i
\(703\) −0.219432 1.38544i −0.00827603 0.0522528i
\(704\) 1.63858 5.04303i 0.0617563 0.190066i
\(705\) 0.319015 9.61630i 0.0120148 0.362171i
\(706\) 23.8115 7.73683i 0.896159 0.291180i
\(707\) 2.72194 + 2.72194i 0.102369 + 0.102369i
\(708\) −0.224651 0.224651i −0.00844291 0.00844291i
\(709\) −4.78008 14.7116i −0.179520 0.552505i 0.820291 0.571946i \(-0.193811\pi\)
−0.999811 + 0.0194413i \(0.993811\pi\)
\(710\) 1.26412 + 10.1490i 0.0474416 + 0.380887i
\(711\) −0.933789 + 1.28525i −0.0350198 + 0.0482007i
\(712\) 6.79798 6.79798i 0.254765 0.254765i
\(713\) −24.3749 33.3503i −0.912849 1.24898i
\(714\) 7.05677i 0.264093i
\(715\) −5.06377 10.8100i −0.189374 0.404272i
\(716\) 7.75783 + 10.6777i 0.289924 + 0.399046i
\(717\) 11.9829 23.5178i 0.447511 0.878289i
\(718\) 15.5135 15.5135i 0.578958 0.578958i
\(719\) −51.9804 −1.93854 −0.969271 0.245997i \(-0.920885\pi\)
−0.969271 + 0.245997i \(0.920885\pi\)
\(720\) −1.25363 1.85160i −0.0467199 0.0690051i
\(721\) 9.42663 29.0122i 0.351066 1.08047i
\(722\) 16.1682 8.23813i 0.601720 0.306591i
\(723\) −4.81966 + 0.763360i −0.179245 + 0.0283897i
\(724\) −0.664701 2.04574i −0.0247034 0.0760293i
\(725\) 41.3208 + 2.74460i 1.53462 + 0.101932i
\(726\) −10.0612 13.8480i −0.373406 0.513949i
\(727\) −35.4209 + 18.0478i −1.31369 + 0.669358i −0.963597 0.267358i \(-0.913849\pi\)
−0.350091 + 0.936716i \(0.613849\pi\)
\(728\) 2.10522 + 0.333435i 0.0780248 + 0.0123579i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) 0.444412 13.3962i 0.0164484 0.495817i
\(731\) −0.506444 + 0.367953i −0.0187315 + 0.0136092i
\(732\) −0.0967580 0.610906i −0.00357628 0.0225797i
\(733\) 26.5898 + 13.5482i 0.982117 + 0.500414i 0.869878 0.493267i \(-0.164198\pi\)
0.112240 + 0.993681i \(0.464198\pi\)
\(734\) −2.97164 2.15902i −0.109685 0.0796909i
\(735\) 4.11086 3.84687i 0.151631 0.141894i
\(736\) 7.05607 + 2.29266i 0.260090 + 0.0845085i
\(737\) 47.2234 + 24.0615i 1.73950 + 0.886318i
\(738\) −2.59987 + 2.59987i −0.0957025 + 0.0957025i
\(739\) −42.8168 −1.57504 −0.787520 0.616288i \(-0.788636\pi\)
−0.787520 + 0.616288i \(0.788636\pi\)
\(740\) 3.33293 + 0.641825i 0.122521 + 0.0235939i
\(741\) −0.752682 + 0.546855i −0.0276504 + 0.0200892i
\(742\) 0.649810 0.102920i 0.0238553 0.00377831i
\(743\) 8.39127 + 8.39127i 0.307846 + 0.307846i 0.844073 0.536228i \(-0.180151\pi\)
−0.536228 + 0.844073i \(0.680151\pi\)
\(744\) −4.95374 + 2.54175i −0.181613 + 0.0931849i
\(745\) −33.8455 + 9.76896i −1.24000 + 0.357907i
\(746\) 12.4363 + 9.03553i 0.455327 + 0.330814i
\(747\) −2.47154 + 15.6047i −0.0904288 + 0.570945i
\(748\) −15.7481 8.02406i −0.575808 0.293389i
\(749\) 1.57949i 0.0577133i
\(750\) 7.43753 8.34765i 0.271580 0.304813i
\(751\) −11.1069 34.1837i −0.405298 1.24738i −0.920646 0.390399i \(-0.872337\pi\)
0.515348 0.856981i \(-0.327663\pi\)
\(752\) 3.83392 1.95348i 0.139809 0.0712360i
\(753\) −5.30745 10.4165i −0.193414 0.379597i
\(754\) 4.90126 6.74601i 0.178493 0.245675i
\(755\) 30.2229 + 44.6391i 1.09992 + 1.62458i
\(756\) 1.24441 1.71278i 0.0452586 0.0622932i
\(757\) −6.33905 + 40.0232i −0.230397 + 1.45467i 0.553018 + 0.833169i \(0.313476\pi\)
−0.783415 + 0.621499i \(0.786524\pi\)
\(758\) −11.5657 22.6990i −0.420087 0.824466i
\(759\) 31.8273 23.1239i 1.15526 0.839344i
\(760\) −0.255402 2.05051i −0.00926440 0.0743797i
\(761\) −1.27964 0.415781i −0.0463870 0.0150721i 0.285732 0.958310i \(-0.407763\pi\)
−0.332119 + 0.943238i \(0.607763\pi\)
\(762\) 6.91921 + 1.09589i 0.250656 + 0.0397001i
\(763\) 18.1989 2.88242i 0.658843 0.104351i
\(764\) −10.1092 + 3.28468i −0.365738 + 0.118836i
\(765\) −6.74945 + 3.16167i −0.244027 + 0.114310i
\(766\) 30.4459 + 9.89247i 1.10005 + 0.357429i
\(767\) −0.145213 0.284996i −0.00524334 0.0102906i
\(768\) 0.453990 0.891007i 0.0163820 0.0321514i
\(769\) 35.4125i 1.27701i 0.769619 + 0.638503i \(0.220446\pi\)
−0.769619 + 0.638503i \(0.779554\pi\)
\(770\) 6.96122 + 24.1178i 0.250865 + 0.869145i
\(771\) −25.7363 + 8.36224i −0.926871 + 0.301159i
\(772\) −4.52155 0.716144i −0.162734 0.0257746i
\(773\) 1.08033 + 6.82095i 0.0388568 + 0.245332i 0.999470 0.0325571i \(-0.0103651\pi\)
−0.960613 + 0.277890i \(0.910365\pi\)
\(774\) −0.187807 −0.00675058
\(775\) −18.3963 20.8944i −0.660815 0.750548i
\(776\) 8.81121 0.316304
\(777\) 0.502718 + 3.17404i 0.0180349 + 0.113868i
\(778\) −1.20405 0.190703i −0.0431674 0.00683705i
\(779\) −3.23141 + 1.04995i −0.115777 + 0.0376183i
\(780\) −0.624297 2.16293i −0.0223534 0.0774455i
\(781\) 24.2532i 0.867846i
\(782\) 11.2270 22.0343i 0.401478 0.787946i
\(783\) −3.76012 7.37964i −0.134376 0.263727i
\(784\) 2.39461 + 0.778055i 0.0855217 + 0.0277877i
\(785\) 16.6511 7.79994i 0.594305 0.278392i
\(786\) −6.81910 + 2.21566i −0.243229 + 0.0790299i
\(787\) 15.5038 2.45557i 0.552652 0.0875316i 0.126139 0.992013i \(-0.459742\pi\)
0.426514 + 0.904481i \(0.359742\pi\)
\(788\) −22.1389 3.50646i −0.788666 0.124912i
\(789\) −30.2861 9.84055i −1.07821 0.350333i
\(790\) −0.439072 3.52511i −0.0156215 0.125418i
\(791\) −20.1997 + 14.6759i −0.718219 + 0.521816i
\(792\) −2.40731 4.72461i −0.0855401 0.167882i
\(793\) 0.0974140 0.615048i 0.00345927 0.0218410i
\(794\) 6.81827 9.38454i 0.241971 0.333045i
\(795\) −0.389575 0.575400i −0.0138168 0.0204074i
\(796\) −12.9119 + 17.7718i −0.457652 + 0.629903i
\(797\) −23.4863 46.0944i −0.831926 1.63275i −0.772933 0.634488i \(-0.781211\pi\)
−0.0589931 0.998258i \(-0.518789\pi\)
\(798\) 1.74319 0.888197i 0.0617081 0.0314418i
\(799\) −4.43207 13.6405i −0.156795 0.482566i
\(800\) 4.87574 + 1.10775i 0.172384 + 0.0391649i
\(801\) 9.61380i 0.339687i
\(802\) −19.0213 9.69182i −0.671664 0.342230i
\(803\) 4.97227 31.3937i 0.175467 1.10786i
\(804\) 8.08628 + 5.87503i 0.285181 + 0.207196i
\(805\) −33.7450 + 9.73995i −1.18935 + 0.343288i
\(806\) −5.53400 + 0.892566i −0.194927 + 0.0314393i
\(807\) −7.27211 7.27211i −0.255991 0.255991i
\(808\) 1.79585 0.284434i 0.0631777 0.0100064i
\(809\) −41.6750 + 30.2786i −1.46521 + 1.06454i −0.483248 + 0.875483i \(0.660543\pi\)
−0.981966 + 0.189057i \(0.939457\pi\)
\(810\) −2.19573 0.422832i −0.0771499 0.0148568i
\(811\) 43.3179 1.52110 0.760549 0.649281i \(-0.224930\pi\)
0.760549 + 0.649281i \(0.224930\pi\)
\(812\) −12.3989 + 12.3989i −0.435116 + 0.435116i
\(813\) 14.6234 + 7.45101i 0.512866 + 0.261318i
\(814\) 7.65491 + 2.48723i 0.268304 + 0.0871774i
\(815\) −17.2110 + 16.1057i −0.602873 + 0.564158i
\(816\) −2.69662 1.95921i −0.0944006 0.0685860i
\(817\) −0.154636 0.0787911i −0.00541004 0.00275655i
\(818\) −0.230454 1.45503i −0.00805765 0.0508740i
\(819\) 1.72439 1.25284i 0.0602551 0.0437779i
\(820\) 0.272593 8.21699i 0.00951938 0.286950i
\(821\) 9.51848 + 13.1011i 0.332197 + 0.457230i 0.942142 0.335214i \(-0.108808\pi\)
−0.609945 + 0.792444i \(0.708808\pi\)
\(822\) −2.35773 0.373427i −0.0822352 0.0130248i
\(823\) 26.8669 13.6893i 0.936520 0.477181i 0.0820190 0.996631i \(-0.473863\pi\)
0.854501 + 0.519450i \(0.173863\pi\)
\(824\) −8.46933 11.6570i −0.295043 0.406092i
\(825\) 19.9487 17.4637i 0.694523 0.608006i
\(826\) 0.207850 + 0.639696i 0.00723203 + 0.0222579i
\(827\) −5.32444 + 0.843309i −0.185149 + 0.0293247i −0.248320 0.968678i \(-0.579879\pi\)
0.0631713 + 0.998003i \(0.479879\pi\)
\(828\) 6.61055 3.36824i 0.229733 0.117055i
\(829\) 10.9115 33.5822i 0.378972 1.16636i −0.561787 0.827282i \(-0.689886\pi\)
0.940759 0.339075i \(-0.110114\pi\)
\(830\) −19.8062 29.2538i −0.687485 1.01541i
\(831\) −21.4782 −0.745072
\(832\) 0.711901 0.711901i 0.0246807 0.0246807i
\(833\) 3.81010 7.47775i 0.132012 0.259089i
\(834\) −11.3575 15.6323i −0.393278 0.541301i
\(835\) 16.7159 + 35.6846i 0.578476 + 1.23492i
\(836\) 4.90009i 0.169473i
\(837\) −1.70554 + 5.30011i −0.0589520 + 0.183199i
\(838\) 25.2086 25.2086i 0.870817 0.870817i
\(839\) 21.9862 30.2613i 0.759046 1.04474i −0.238247 0.971205i \(-0.576573\pi\)
0.997293 0.0735329i \(-0.0234274\pi\)
\(840\) 0.585125 + 4.69770i 0.0201887 + 0.162086i
\(841\) 12.2363 + 37.6595i 0.421942 + 1.29860i
\(842\) 19.4948 + 19.4948i 0.671834 + 0.671834i
\(843\) 14.9070 + 14.9070i 0.513425 + 0.513425i
\(844\) −13.6415 + 4.43238i −0.469558 + 0.152569i
\(845\) −0.888664 + 26.7877i −0.0305710 + 0.921523i
\(846\) 1.32967 4.09231i 0.0457150 0.140696i
\(847\) 5.66900 + 35.7927i 0.194789 + 1.22985i
\(848\) 0.141081 0.276888i 0.00484475 0.00950837i
\(849\) −2.86173 2.07917i −0.0982144 0.0713570i
\(850\) 6.18925 15.4742i 0.212290 0.530759i
\(851\) −3.48006 + 10.7105i −0.119295 + 0.367152i
\(852\) −0.715509 + 4.51755i −0.0245129 + 0.154769i
\(853\) 2.94970 18.6237i 0.100996 0.637663i −0.884315 0.466891i \(-0.845374\pi\)
0.985311 0.170772i \(-0.0546261\pi\)
\(854\) −0.404651 + 1.24539i −0.0138469 + 0.0426163i
\(855\) −1.63052 1.26933i −0.0557627 0.0434102i
\(856\) 0.603574 + 0.438522i 0.0206297 + 0.0149884i
\(857\) −7.09168 + 13.9182i −0.242247 + 0.475437i −0.979833 0.199816i \(-0.935966\pi\)
0.737586 + 0.675253i \(0.235966\pi\)
\(858\) −0.835127 5.27278i −0.0285108 0.180010i
\(859\) 3.06424 9.43077i 0.104551 0.321774i −0.885074 0.465450i \(-0.845892\pi\)
0.989625 + 0.143676i \(0.0458925\pi\)
\(860\) 0.306631 0.286940i 0.0104560 0.00978457i
\(861\) 7.40315 2.40543i 0.252299 0.0819768i
\(862\) 16.3263 + 16.3263i 0.556076 + 0.556076i
\(863\) −13.7869 13.7869i −0.469310 0.469310i 0.432381 0.901691i \(-0.357674\pi\)
−0.901691 + 0.432381i \(0.857674\pi\)
\(864\) −0.309017 0.951057i −0.0105130 0.0323556i
\(865\) 10.1661 1.26624i 0.345657 0.0430535i
\(866\) 1.31648 1.81199i 0.0447360 0.0615738i
\(867\) 4.16468 4.16468i 0.141440 0.141440i
\(868\) 11.7875 0.0333695i 0.400095 0.00113264i
\(869\) 8.42395i 0.285763i
\(870\) 17.4141 + 6.30382i 0.590392 + 0.213720i
\(871\) 5.91486 + 8.14111i 0.200418 + 0.275851i
\(872\) 3.95119 7.75464i 0.133804 0.262605i
\(873\) 6.23047 6.23047i 0.210869 0.210869i
\(874\) 6.85608 0.231910
\(875\) −22.0532 + 8.59810i −0.745533 + 0.290669i
\(876\) 1.85233 5.70089i 0.0625845 0.192615i
\(877\) −2.88387 + 1.46941i −0.0973815 + 0.0496183i −0.502003 0.864866i \(-0.667403\pi\)
0.404621 + 0.914484i \(0.367403\pi\)
\(878\) −16.7112 + 2.64680i −0.563976 + 0.0893250i
\(879\) 0.0578202 + 0.177952i 0.00195023 + 0.00600218i
\(880\) 11.1489 + 4.03585i 0.375829 + 0.136048i
\(881\) −10.1736 14.0028i −0.342758 0.471766i 0.602487 0.798129i \(-0.294177\pi\)
−0.945244 + 0.326363i \(0.894177\pi\)
\(882\) 2.24341 1.14308i 0.0755396 0.0384894i
\(883\) −38.9040 6.16178i −1.30922 0.207360i −0.537470 0.843283i \(-0.680620\pi\)
−0.771753 + 0.635923i \(0.780620\pi\)
\(884\) −1.97249 2.71490i −0.0663421 0.0913121i
\(885\) 0.518715 0.485404i 0.0174364 0.0163167i
\(886\) 15.3310 11.1386i 0.515054 0.374209i
\(887\) −8.78491 55.4657i −0.294968 1.86236i −0.476778 0.879024i \(-0.658196\pi\)
0.181810 0.983334i \(-0.441804\pi\)
\(888\) 1.35247 + 0.689120i 0.0453861 + 0.0231254i
\(889\) −11.9988 8.71764i −0.402427 0.292380i
\(890\) 14.6884 + 15.6964i 0.492356 + 0.526144i
\(891\) −5.04303 1.63858i −0.168948 0.0548945i
\(892\) −23.1790 11.8103i −0.776090 0.395437i
\(893\) 2.81168 2.81168i 0.0940893 0.0940893i
\(894\) −15.7540 −0.526894
\(895\) −24.4382 + 16.5459i −0.816878 + 0.553067i
\(896\) −1.71278 + 1.24441i −0.0572199 + 0.0415727i
\(897\) 7.37754 1.16849i 0.246329 0.0390146i
\(898\) 13.5139 + 13.5139i 0.450965 + 0.450965i
\(899\) 20.8190 41.1472i 0.694354 1.37234i
\(900\) 4.23097 2.66437i 0.141032 0.0888124i
\(901\) −0.837997 0.608841i −0.0279177 0.0202834i
\(902\) 3.04989 19.2563i 0.101550 0.641163i
\(903\) 0.354271 + 0.180510i 0.0117894 + 0.00600701i
\(904\) 11.7935i 0.392247i
\(905\) 4.62118 1.33383i 0.153613 0.0443380i
\(906\) 7.44990 + 22.9284i 0.247506 + 0.761746i
\(907\) −12.2463 + 6.23978i −0.406630 + 0.207189i −0.645328 0.763905i \(-0.723279\pi\)
0.238698 + 0.971094i \(0.423279\pi\)
\(908\) 2.36801 + 4.64747i 0.0785850 + 0.154232i
\(909\) 1.06873 1.47098i 0.0354476 0.0487894i
\(910\) −0.901253 + 4.68011i −0.0298762 + 0.155144i
\(911\) −10.2343 + 14.0864i −0.339079 + 0.466702i −0.944172 0.329453i \(-0.893136\pi\)
0.605093 + 0.796155i \(0.293136\pi\)
\(912\) 0.144561 0.912723i 0.00478690 0.0302233i
\(913\) −38.0335 74.6450i −1.25873 2.47039i
\(914\) −8.21863 + 5.97119i −0.271848 + 0.197509i
\(915\) 1.37245 0.170946i 0.0453718 0.00565131i
\(916\) 18.5506 + 6.02746i 0.612930 + 0.199153i
\(917\) 14.9928 + 2.37463i 0.495107 + 0.0784173i
\(918\) −3.29217 + 0.521428i −0.108658 + 0.0172097i
\(919\) 8.61475 2.79910i 0.284174 0.0923339i −0.163462 0.986550i \(-0.552266\pi\)
0.447636 + 0.894216i \(0.352266\pi\)
\(920\) −5.64685 + 15.5992i −0.186171 + 0.514291i
\(921\) 6.51383 + 2.11647i 0.214638 + 0.0697401i
\(922\) 8.44391 + 16.5721i 0.278085 + 0.545773i
\(923\) −2.09057 + 4.10297i −0.0688119 + 0.135051i
\(924\) 11.2261i 0.369312i
\(925\) −1.68148 + 7.40098i −0.0552866 + 0.243343i
\(926\) 35.6122 11.5711i 1.17029 0.380250i
\(927\) −14.2315 2.25405i −0.467423 0.0740326i
\(928\) 1.29565 + 8.18040i 0.0425317 + 0.268535i
\(929\) 51.0013 1.67330 0.836650 0.547738i \(-0.184511\pi\)
0.836650 + 0.547738i \(0.184511\pi\)
\(930\) −5.31312 11.2592i −0.174224 0.369205i
\(931\) 2.32674 0.0762557
\(932\) 2.80936 + 17.7376i 0.0920235 + 0.581013i
\(933\) −14.8289 2.34867i −0.485477 0.0768919i
\(934\) 16.1292 5.24069i 0.527763 0.171481i
\(935\) 19.1000 34.5996i 0.624638 1.13153i
\(936\) 1.00678i 0.0329076i
\(937\) 15.1209 29.6765i 0.493980 0.969490i −0.500616 0.865669i \(-0.666893\pi\)
0.994596 0.103821i \(-0.0331068\pi\)
\(938\) −9.60687 18.8545i −0.313675 0.615623i
\(939\) −7.49683 2.43587i −0.244650 0.0794915i
\(940\) 4.08146 + 8.71301i 0.133123 + 0.284187i
\(941\) −25.7288 + 8.35978i −0.838734 + 0.272521i −0.696720 0.717343i \(-0.745358\pi\)
−0.142014 + 0.989865i \(0.545358\pi\)
\(942\) 8.12189 1.28638i 0.264625 0.0419126i
\(943\) 26.9428 + 4.26733i 0.877379 + 0.138963i
\(944\) 0.302155 + 0.0981762i 0.00983432 + 0.00319536i
\(945\) 3.73552 + 2.90803i 0.121517 + 0.0945983i
\(946\) 0.805665 0.585350i 0.0261944 0.0190314i
\(947\) 21.8359 + 42.8554i 0.709572 + 1.39261i 0.910708 + 0.413050i \(0.135537\pi\)
−0.201136 + 0.979563i \(0.564463\pi\)
\(948\) 0.248521 1.56910i 0.00807158 0.0509620i
\(949\) 3.54723 4.88235i 0.115148 0.158488i
\(950\) 4.60148 0.418759i 0.149292 0.0135863i
\(951\) −10.2068 + 14.0484i −0.330978 + 0.455552i
\(952\) 3.20370 + 6.28762i 0.103833 + 0.203783i
\(953\) −9.79933 + 4.99301i −0.317431 + 0.161739i −0.605445 0.795887i \(-0.707005\pi\)
0.288014 + 0.957626i \(0.407005\pi\)
\(954\) −0.0960296 0.295549i −0.00310907 0.00956875i
\(955\) −6.59124 22.8360i −0.213288 0.738955i
\(956\) 26.3947i 0.853665i
\(957\) 39.1310 + 19.9382i 1.26492 + 0.644511i
\(958\) −2.59728 + 16.3986i −0.0839142 + 0.529814i
\(959\) 4.08860 + 2.97055i 0.132028 + 0.0959239i
\(960\) 1.95760 + 1.08065i 0.0631812 + 0.0348780i
\(961\) −29.4280 + 9.74630i −0.949292 + 0.314397i
\(962\) 1.08061 + 1.08061i 0.0348402 + 0.0348402i
\(963\) 0.736874 0.116709i 0.0237454 0.00376091i
\(964\) 3.94779 2.86824i 0.127150 0.0923798i
\(965\) 1.93569 10.0518i 0.0623121 0.323580i
\(966\) −15.7073 −0.505373
\(967\) −2.27376 + 2.27376i −0.0731193 + 0.0731193i −0.742721 0.669601i \(-0.766465\pi\)
0.669601 + 0.742721i \(0.266465\pi\)
\(968\) 15.2515 + 7.77101i 0.490201 + 0.249770i
\(969\) −2.92946 0.951839i −0.0941078 0.0305775i
\(970\) −0.653257 + 19.6916i −0.0209748 + 0.632260i
\(971\) 19.1747 + 13.9313i 0.615346 + 0.447075i 0.851293 0.524691i \(-0.175819\pi\)
−0.235946 + 0.971766i \(0.575819\pi\)
\(972\) −0.891007 0.453990i −0.0285790 0.0145618i
\(973\) 6.39942 + 40.4043i 0.205156 + 1.29530i
\(974\) 14.3388 10.4177i 0.459444 0.333806i
\(975\) 4.88009 1.23484i 0.156288 0.0395467i
\(976\) 0.363557 + 0.500394i 0.0116372 + 0.0160172i
\(977\) −57.8212 9.15798i −1.84986 0.292990i −0.870060 0.492946i \(-0.835920\pi\)
−0.979805 + 0.199956i \(0.935920\pi\)
\(978\) −9.39250 + 4.78572i −0.300339 + 0.153030i
\(979\) 29.9640 + 41.2419i 0.957652 + 1.31810i
\(980\) −1.91636 + 5.29388i −0.0612160 + 0.169107i
\(981\) −2.68945 8.27727i −0.0858675 0.264273i
\(982\) 26.1700 4.14492i 0.835118 0.132270i
\(983\) 12.8100 6.52705i 0.408577 0.208180i −0.237608 0.971361i \(-0.576363\pi\)
0.646185 + 0.763181i \(0.276363\pi\)
\(984\) 1.13618 3.49682i 0.0362202 0.111474i
\(985\) 9.47773 49.2169i 0.301986 1.56818i
\(986\) 27.6068 0.879180
\(987\) −6.44155 + 6.44155i −0.205037 + 0.205037i
\(988\) 0.422377 0.828962i 0.0134376 0.0263728i
\(989\) 0.819006 + 1.12726i 0.0260429 + 0.0358449i
\(990\) 10.7372 5.02967i 0.341251 0.159853i
\(991\) 34.2166i 1.08693i −0.839433 0.543463i \(-0.817113\pi\)
0.839433 0.543463i \(-0.182887\pi\)
\(992\) 3.25989 4.51366i 0.103501 0.143309i
\(993\) −8.68353 + 8.68353i −0.275563 + 0.275563i
\(994\) 5.69174 7.83401i 0.180531 0.248480i
\(995\) −38.7597 30.1737i −1.22877 0.956570i
\(996\) −4.88221 15.0259i −0.154699 0.476114i
\(997\) −22.2717 22.2717i −0.705351 0.705351i 0.260203 0.965554i \(-0.416211\pi\)
−0.965554 + 0.260203i \(0.916211\pi\)
\(998\) −11.7638 11.7638i −0.372376 0.372376i
\(999\) 1.44363 0.469062i 0.0456743 0.0148405i
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 930.2.bj.a.277.3 128
5.3 odd 4 930.2.bj.b.463.3 yes 128
31.15 odd 10 930.2.bj.b.697.3 yes 128
155.108 even 20 inner 930.2.bj.a.883.3 yes 128
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bj.a.277.3 128 1.1 even 1 trivial
930.2.bj.a.883.3 yes 128 155.108 even 20 inner
930.2.bj.b.463.3 yes 128 5.3 odd 4
930.2.bj.b.697.3 yes 128 31.15 odd 10