Properties

Label 930.2.bn.a.49.3
Level $930$
Weight $2$
Character 930.49
Analytic conductor $7.426$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(19,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([0, 15, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bn (of order \(30\), 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: \(112\)
Relative dimension: \(14\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 49.3
Character \(\chi\) \(=\) 930.49
Dual form 930.2.bn.a.19.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.587785 - 0.809017i) q^{2} +(0.406737 + 0.913545i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-0.509764 - 2.17719i) q^{5} +(0.500000 - 0.866025i) q^{6} +(0.159624 - 0.143726i) q^{7} +(0.951057 - 0.309017i) q^{8} +(-0.669131 + 0.743145i) q^{9} +O(q^{10})\) \(q+(-0.587785 - 0.809017i) q^{2} +(0.406737 + 0.913545i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-0.509764 - 2.17719i) q^{5} +(0.500000 - 0.866025i) q^{6} +(0.159624 - 0.143726i) q^{7} +(0.951057 - 0.309017i) q^{8} +(-0.669131 + 0.743145i) q^{9} +(-1.46175 + 1.69213i) q^{10} +(-3.49535 + 0.742959i) q^{11} +(-0.994522 + 0.104528i) q^{12} +(-3.56139 - 0.374317i) q^{13} +(-0.210101 - 0.0446584i) q^{14} +(1.78162 - 1.35123i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-0.228047 + 1.07287i) q^{17} +(0.994522 + 0.104528i) q^{18} +(0.862032 + 8.20168i) q^{19} +(2.22815 + 0.187974i) q^{20} +(0.196225 + 0.0873650i) q^{21} +(2.65558 + 2.39110i) q^{22} +(4.93671 - 1.60404i) q^{23} +(0.669131 + 0.743145i) q^{24} +(-4.48028 + 2.21970i) q^{25} +(1.79051 + 3.10125i) q^{26} +(-0.951057 - 0.309017i) q^{27} +(0.0873650 + 0.196225i) q^{28} +(-3.57759 + 2.59927i) q^{29} +(-2.14038 - 0.647125i) q^{30} +(-5.04312 + 2.35944i) q^{31} +1.00000i q^{32} +(-2.10041 - 2.89097i) q^{33} +(1.00202 - 0.446126i) q^{34} +(-0.394289 - 0.274265i) q^{35} +(-0.500000 - 0.866025i) q^{36} +(1.63260 + 0.942583i) q^{37} +(6.12861 - 5.51823i) q^{38} +(-1.10659 - 3.40574i) q^{39} +(-1.15760 - 1.91310i) q^{40} +(1.57969 + 0.703323i) q^{41} +(-0.0446584 - 0.210101i) q^{42} +(2.90007 - 0.304810i) q^{43} +(0.373526 - 3.55386i) q^{44} +(1.95906 + 1.07799i) q^{45} +(-4.19942 - 3.05106i) q^{46} +(0.0182825 - 0.0251636i) q^{47} +(0.207912 - 0.978148i) q^{48} +(-0.726877 + 6.91577i) q^{49} +(4.42922 + 2.31992i) q^{50} +(-1.07287 + 0.228047i) q^{51} +(1.45653 - 3.27142i) q^{52} +(-5.06536 - 4.56087i) q^{53} +(0.309017 + 0.951057i) q^{54} +(3.39936 + 7.23129i) q^{55} +(0.107398 - 0.186018i) q^{56} +(-7.14199 + 4.12343i) q^{57} +(4.20571 + 1.36652i) q^{58} +(3.94953 - 1.75844i) q^{59} +(0.734549 + 2.11197i) q^{60} -9.28085 q^{61} +(4.87310 + 2.69312i) q^{62} +0.214795i q^{63} +(0.809017 - 0.587785i) q^{64} +(1.00051 + 7.94463i) q^{65} +(-1.10425 + 3.39854i) q^{66} +(-9.04825 + 5.22401i) q^{67} +(-0.949894 - 0.548422i) q^{68} +(3.47330 + 3.85749i) q^{69} +(0.00987232 + 0.480195i) q^{70} +(-7.60917 + 8.45084i) q^{71} +(-0.406737 + 0.913545i) q^{72} +(2.29347 + 10.7899i) q^{73} +(-0.197054 - 1.87484i) q^{74} +(-3.85009 - 3.19011i) q^{75} +(-8.06665 - 1.71462i) q^{76} +(-0.451158 + 0.620966i) q^{77} +(-2.10486 + 2.89710i) q^{78} +(-0.100905 - 0.0214480i) q^{79} +(-0.867311 + 2.06101i) q^{80} +(-0.104528 - 0.994522i) q^{81} +(-0.359518 - 1.69140i) q^{82} +(4.92316 - 11.0576i) q^{83} +(-0.143726 + 0.159624i) q^{84} +(2.45210 - 0.0504127i) q^{85} +(-1.95122 - 2.16705i) q^{86} +(-3.82969 - 2.21107i) q^{87} +(-3.09469 + 1.78672i) q^{88} +(-1.38124 + 4.25102i) q^{89} +(-0.279393 - 2.21854i) q^{90} +(-0.622282 + 0.452115i) q^{91} +5.19077i q^{92} +(-4.20668 - 3.64744i) q^{93} -0.0311040 q^{94} +(17.4172 - 6.05772i) q^{95} +(-0.913545 + 0.406737i) q^{96} +(-4.35753 - 1.41585i) q^{97} +(6.02222 - 3.47693i) q^{98} +(1.78672 - 3.09469i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q + 28 q^{4} - 2 q^{5} + 56 q^{6} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q + 28 q^{4} - 2 q^{5} + 56 q^{6} - 14 q^{9} - 4 q^{10} + 18 q^{11} + 8 q^{14} + 8 q^{15} - 28 q^{16} + 16 q^{19} + 2 q^{20} + 28 q^{21} + 14 q^{24} + 14 q^{25} + 12 q^{26} + 16 q^{29} - 4 q^{30} + 10 q^{34} - 38 q^{35} - 56 q^{36} + 16 q^{39} - 6 q^{40} + 20 q^{41} + 2 q^{44} + 2 q^{45} - 2 q^{46} + 38 q^{49} + 8 q^{50} - 10 q^{51} - 28 q^{54} - 46 q^{55} + 12 q^{56} + 60 q^{59} - 8 q^{60} + 88 q^{61} + 28 q^{64} - 28 q^{65} + 6 q^{66} + 46 q^{69} + 26 q^{70} + 116 q^{71} - 34 q^{74} + 8 q^{75} + 24 q^{76} - 40 q^{79} - 12 q^{80} + 14 q^{81} - 8 q^{84} + 18 q^{85} - 38 q^{86} - 60 q^{89} + 4 q^{90} - 92 q^{91} + 132 q^{94} + 132 q^{95} - 14 q^{96} + 2 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{13}{15}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.587785 0.809017i −0.415627 0.572061i
\(3\) 0.406737 + 0.913545i 0.234830 + 0.527436i
\(4\) −0.309017 + 0.951057i −0.154508 + 0.475528i
\(5\) −0.509764 2.17719i −0.227973 0.973667i
\(6\) 0.500000 0.866025i 0.204124 0.353553i
\(7\) 0.159624 0.143726i 0.0603322 0.0543233i −0.638413 0.769694i \(-0.720409\pi\)
0.698745 + 0.715371i \(0.253742\pi\)
\(8\) 0.951057 0.309017i 0.336249 0.109254i
\(9\) −0.669131 + 0.743145i −0.223044 + 0.247715i
\(10\) −1.46175 + 1.69213i −0.462246 + 0.535097i
\(11\) −3.49535 + 0.742959i −1.05389 + 0.224011i −0.702107 0.712072i \(-0.747757\pi\)
−0.351781 + 0.936083i \(0.614424\pi\)
\(12\) −0.994522 + 0.104528i −0.287094 + 0.0301748i
\(13\) −3.56139 0.374317i −0.987753 0.103817i −0.403148 0.915135i \(-0.632084\pi\)
−0.584605 + 0.811318i \(0.698751\pi\)
\(14\) −0.210101 0.0446584i −0.0561519 0.0119355i
\(15\) 1.78162 1.35123i 0.460012 0.348887i
\(16\) −0.809017 0.587785i −0.202254 0.146946i
\(17\) −0.228047 + 1.07287i −0.0553094 + 0.260210i −0.997111 0.0759591i \(-0.975798\pi\)
0.941802 + 0.336169i \(0.109131\pi\)
\(18\) 0.994522 + 0.104528i 0.234411 + 0.0246376i
\(19\) 0.862032 + 8.20168i 0.197764 + 1.88160i 0.421332 + 0.906907i \(0.361563\pi\)
−0.223568 + 0.974688i \(0.571770\pi\)
\(20\) 2.22815 + 0.187974i 0.498230 + 0.0420322i
\(21\) 0.196225 + 0.0873650i 0.0428198 + 0.0190646i
\(22\) 2.65558 + 2.39110i 0.566172 + 0.509783i
\(23\) 4.93671 1.60404i 1.02938 0.334464i 0.254832 0.966985i \(-0.417980\pi\)
0.774543 + 0.632521i \(0.217980\pi\)
\(24\) 0.669131 + 0.743145i 0.136586 + 0.151694i
\(25\) −4.48028 + 2.21970i −0.896056 + 0.443940i
\(26\) 1.79051 + 3.10125i 0.351147 + 0.608204i
\(27\) −0.951057 0.309017i −0.183031 0.0594703i
\(28\) 0.0873650 + 0.196225i 0.0165104 + 0.0370831i
\(29\) −3.57759 + 2.59927i −0.664342 + 0.482673i −0.868126 0.496343i \(-0.834676\pi\)
0.203785 + 0.979016i \(0.434676\pi\)
\(30\) −2.14038 0.647125i −0.390778 0.118148i
\(31\) −5.04312 + 2.35944i −0.905771 + 0.423768i
\(32\) 1.00000i 0.176777i
\(33\) −2.10041 2.89097i −0.365635 0.503253i
\(34\) 1.00202 0.446126i 0.171844 0.0765100i
\(35\) −0.394289 0.274265i −0.0666470 0.0463592i
\(36\) −0.500000 0.866025i −0.0833333 0.144338i
\(37\) 1.63260 + 0.942583i 0.268398 + 0.154960i 0.628159 0.778085i \(-0.283809\pi\)
−0.359761 + 0.933044i \(0.617142\pi\)
\(38\) 6.12861 5.51823i 0.994192 0.895175i
\(39\) −1.10659 3.40574i −0.177197 0.545355i
\(40\) −1.15760 1.91310i −0.183033 0.302488i
\(41\) 1.57969 + 0.703323i 0.246706 + 0.109841i 0.526365 0.850259i \(-0.323555\pi\)
−0.279659 + 0.960099i \(0.590221\pi\)
\(42\) −0.0446584 0.210101i −0.00689094 0.0324193i
\(43\) 2.90007 0.304810i 0.442257 0.0464831i 0.119217 0.992868i \(-0.461962\pi\)
0.323040 + 0.946385i \(0.395295\pi\)
\(44\) 0.373526 3.55386i 0.0563111 0.535765i
\(45\) 1.95906 + 1.07799i 0.292040 + 0.160698i
\(46\) −4.19942 3.05106i −0.619171 0.449854i
\(47\) 0.0182825 0.0251636i 0.00266677 0.00367049i −0.807682 0.589619i \(-0.799278\pi\)
0.810348 + 0.585948i \(0.199278\pi\)
\(48\) 0.207912 0.978148i 0.0300095 0.141183i
\(49\) −0.726877 + 6.91577i −0.103840 + 0.987967i
\(50\) 4.42922 + 2.31992i 0.626386 + 0.328086i
\(51\) −1.07287 + 0.228047i −0.150233 + 0.0319329i
\(52\) 1.45653 3.27142i 0.201984 0.453664i
\(53\) −5.06536 4.56087i −0.695780 0.626483i 0.243393 0.969928i \(-0.421740\pi\)
−0.939173 + 0.343444i \(0.888406\pi\)
\(54\) 0.309017 + 0.951057i 0.0420519 + 0.129422i
\(55\) 3.39936 + 7.23129i 0.458370 + 0.975067i
\(56\) 0.107398 0.186018i 0.0143516 0.0248577i
\(57\) −7.14199 + 4.12343i −0.945980 + 0.546162i
\(58\) 4.20571 + 1.36652i 0.552237 + 0.179433i
\(59\) 3.94953 1.75844i 0.514185 0.228930i −0.133206 0.991088i \(-0.542527\pi\)
0.647390 + 0.762159i \(0.275860\pi\)
\(60\) 0.734549 + 2.11197i 0.0948299 + 0.272655i
\(61\) −9.28085 −1.18829 −0.594146 0.804357i \(-0.702510\pi\)
−0.594146 + 0.804357i \(0.702510\pi\)
\(62\) 4.87310 + 2.69312i 0.618884 + 0.342027i
\(63\) 0.214795i 0.0270616i
\(64\) 0.809017 0.587785i 0.101127 0.0734732i
\(65\) 1.00051 + 7.94463i 0.124098 + 0.985410i
\(66\) −1.10425 + 3.39854i −0.135924 + 0.418331i
\(67\) −9.04825 + 5.22401i −1.10542 + 0.638215i −0.937639 0.347610i \(-0.886993\pi\)
−0.167781 + 0.985824i \(0.553660\pi\)
\(68\) −0.949894 0.548422i −0.115192 0.0665059i
\(69\) 3.47330 + 3.85749i 0.418136 + 0.464387i
\(70\) 0.00987232 + 0.480195i 0.00117997 + 0.0573943i
\(71\) −7.60917 + 8.45084i −0.903042 + 1.00293i 0.0969288 + 0.995291i \(0.469098\pi\)
−0.999971 + 0.00763843i \(0.997569\pi\)
\(72\) −0.406737 + 0.913545i −0.0479344 + 0.107662i
\(73\) 2.29347 + 10.7899i 0.268431 + 1.26287i 0.881253 + 0.472646i \(0.156701\pi\)
−0.612822 + 0.790221i \(0.709966\pi\)
\(74\) −0.197054 1.87484i −0.0229070 0.217946i
\(75\) −3.85009 3.19011i −0.444570 0.368362i
\(76\) −8.06665 1.71462i −0.925308 0.196680i
\(77\) −0.451158 + 0.620966i −0.0514143 + 0.0707657i
\(78\) −2.10486 + 2.89710i −0.238329 + 0.328032i
\(79\) −0.100905 0.0214480i −0.0113527 0.00241309i 0.202232 0.979338i \(-0.435181\pi\)
−0.213585 + 0.976925i \(0.568514\pi\)
\(80\) −0.867311 + 2.06101i −0.0969683 + 0.230428i
\(81\) −0.104528 0.994522i −0.0116143 0.110502i
\(82\) −0.359518 1.69140i −0.0397021 0.186784i
\(83\) 4.92316 11.0576i 0.540387 1.21373i −0.412655 0.910888i \(-0.635398\pi\)
0.953041 0.302841i \(-0.0979350\pi\)
\(84\) −0.143726 + 0.159624i −0.0156818 + 0.0174164i
\(85\) 2.45210 0.0504127i 0.265967 0.00546802i
\(86\) −1.95122 2.16705i −0.210405 0.233679i
\(87\) −3.82969 2.21107i −0.410586 0.237052i
\(88\) −3.09469 + 1.78672i −0.329895 + 0.190465i
\(89\) −1.38124 + 4.25102i −0.146411 + 0.450607i −0.997190 0.0749170i \(-0.976131\pi\)
0.850779 + 0.525524i \(0.176131\pi\)
\(90\) −0.279393 2.21854i −0.0294506 0.233855i
\(91\) −0.622282 + 0.452115i −0.0652329 + 0.0473945i
\(92\) 5.19077i 0.541175i
\(93\) −4.20668 3.64744i −0.436212 0.378222i
\(94\) −0.0311040 −0.00320813
\(95\) 17.4172 6.05772i 1.78696 0.621509i
\(96\) −0.913545 + 0.406737i −0.0932383 + 0.0415124i
\(97\) −4.35753 1.41585i −0.442440 0.143757i 0.0793211 0.996849i \(-0.474725\pi\)
−0.521761 + 0.853092i \(0.674725\pi\)
\(98\) 6.02222 3.47693i 0.608336 0.351223i
\(99\) 1.78672 3.09469i 0.179572 0.311028i
\(100\) −0.726578 4.94693i −0.0726578 0.494693i
\(101\) −4.47912 13.7853i −0.445689 1.37169i −0.881726 0.471761i \(-0.843618\pi\)
0.436037 0.899929i \(-0.356382\pi\)
\(102\) 0.815114 + 0.733932i 0.0807083 + 0.0726700i
\(103\) 3.02576 6.79596i 0.298137 0.669626i −0.700911 0.713248i \(-0.747223\pi\)
0.999048 + 0.0436224i \(0.0138898\pi\)
\(104\) −3.50276 + 0.744534i −0.343474 + 0.0730076i
\(105\) 0.0901816 0.471754i 0.00880082 0.0460385i
\(106\) −0.712477 + 6.77877i −0.0692019 + 0.658412i
\(107\) −2.95145 + 13.8855i −0.285328 + 1.34236i 0.568876 + 0.822423i \(0.307379\pi\)
−0.854204 + 0.519939i \(0.825955\pi\)
\(108\) 0.587785 0.809017i 0.0565597 0.0778477i
\(109\) −4.89513 3.55652i −0.468869 0.340653i 0.328132 0.944632i \(-0.393581\pi\)
−0.797000 + 0.603979i \(0.793581\pi\)
\(110\) 3.85214 7.00059i 0.367287 0.667480i
\(111\) −0.197054 + 1.87484i −0.0187035 + 0.177952i
\(112\) −0.213618 + 0.0224522i −0.0201850 + 0.00212153i
\(113\) 3.21730 + 15.1362i 0.302658 + 1.42390i 0.822077 + 0.569376i \(0.192815\pi\)
−0.519419 + 0.854520i \(0.673852\pi\)
\(114\) 7.53388 + 3.35430i 0.705613 + 0.314159i
\(115\) −6.00884 9.93047i −0.560327 0.926021i
\(116\) −1.36652 4.20571i −0.126878 0.390490i
\(117\) 2.66121 2.39616i 0.246029 0.221525i
\(118\) −3.74408 2.16165i −0.344671 0.198996i
\(119\) 0.117798 + 0.204033i 0.0107986 + 0.0187036i
\(120\) 1.27687 1.83565i 0.116561 0.167571i
\(121\) 1.61647 0.719699i 0.146952 0.0654272i
\(122\) 5.45515 + 7.50837i 0.493886 + 0.679776i
\(123\) 1.72918i 0.155915i
\(124\) −0.685555 5.52540i −0.0615646 0.496195i
\(125\) 7.11659 + 8.62289i 0.636527 + 0.771254i
\(126\) 0.173773 0.126253i 0.0154809 0.0112475i
\(127\) −3.63392 8.16193i −0.322459 0.724254i 0.677478 0.735543i \(-0.263073\pi\)
−0.999936 + 0.0112894i \(0.996406\pi\)
\(128\) −0.951057 0.309017i −0.0840623 0.0273135i
\(129\) 1.45802 + 2.52537i 0.128372 + 0.222347i
\(130\) 5.83926 5.47917i 0.512137 0.480555i
\(131\) −4.59625 5.10465i −0.401576 0.445995i 0.508110 0.861292i \(-0.330344\pi\)
−0.909686 + 0.415297i \(0.863678\pi\)
\(132\) 3.39854 1.10425i 0.295805 0.0961128i
\(133\) 1.31640 + 1.18529i 0.114146 + 0.102778i
\(134\) 9.54475 + 4.24959i 0.824540 + 0.367109i
\(135\) −0.187974 + 2.22815i −0.0161782 + 0.191769i
\(136\) 0.114651 + 1.09083i 0.00983127 + 0.0935383i
\(137\) 1.47481 + 0.155009i 0.126001 + 0.0132433i 0.167319 0.985903i \(-0.446489\pi\)
−0.0413178 + 0.999146i \(0.513156\pi\)
\(138\) 1.07922 5.07734i 0.0918694 0.432212i
\(139\) 11.6967 + 8.49816i 0.992102 + 0.720804i 0.960380 0.278693i \(-0.0899011\pi\)
0.0317214 + 0.999497i \(0.489901\pi\)
\(140\) 0.382683 0.290238i 0.0323426 0.0245296i
\(141\) 0.0304243 + 0.00646688i 0.00256219 + 0.000544609i
\(142\) 11.3094 + 1.18867i 0.949066 + 0.0997509i
\(143\) 12.7264 1.33760i 1.06424 0.111856i
\(144\) 0.978148 0.207912i 0.0815123 0.0173260i
\(145\) 7.48282 + 6.46407i 0.621415 + 0.536811i
\(146\) 7.38117 8.19762i 0.610870 0.678440i
\(147\) −6.61352 + 2.14886i −0.545474 + 0.177235i
\(148\) −1.40095 + 1.26142i −0.115158 + 0.103688i
\(149\) 6.16594 10.6797i 0.505133 0.874917i −0.494849 0.868979i \(-0.664777\pi\)
0.999982 0.00593763i \(-0.00189002\pi\)
\(150\) −0.317823 + 4.98989i −0.0259502 + 0.407423i
\(151\) 4.10821 12.6438i 0.334322 1.02894i −0.632734 0.774370i \(-0.718067\pi\)
0.967055 0.254567i \(-0.0819328\pi\)
\(152\) 3.35430 + 7.53388i 0.272070 + 0.611078i
\(153\) −0.644708 0.887365i −0.0521216 0.0717392i
\(154\) 0.767557 0.0618515
\(155\) 7.70775 + 9.77705i 0.619101 + 0.785311i
\(156\) 3.58101 0.286710
\(157\) −9.06646 12.4789i −0.723583 0.995926i −0.999397 0.0347151i \(-0.988948\pi\)
0.275815 0.961211i \(-0.411052\pi\)
\(158\) 0.0419586 + 0.0942407i 0.00333805 + 0.00749738i
\(159\) 2.10629 6.48251i 0.167040 0.514096i
\(160\) 2.17719 0.509764i 0.172122 0.0403004i
\(161\) 0.557476 0.965576i 0.0439352 0.0760981i
\(162\) −0.743145 + 0.669131i −0.0583870 + 0.0525719i
\(163\) 1.68927 0.548878i 0.132314 0.0429914i −0.242111 0.970248i \(-0.577840\pi\)
0.374425 + 0.927257i \(0.377840\pi\)
\(164\) −1.15705 + 1.28503i −0.0903504 + 0.100344i
\(165\) −5.22347 + 6.04670i −0.406646 + 0.470735i
\(166\) −11.8395 + 2.51657i −0.918926 + 0.195324i
\(167\) 10.2180 1.07396i 0.790695 0.0831054i 0.299433 0.954117i \(-0.403202\pi\)
0.491262 + 0.871012i \(0.336536\pi\)
\(168\) 0.213618 + 0.0224522i 0.0164810 + 0.00173222i
\(169\) −0.172512 0.0366685i −0.0132701 0.00282066i
\(170\) −1.48209 1.95416i −0.113671 0.149877i
\(171\) −6.67185 4.84738i −0.510209 0.370689i
\(172\) −0.606280 + 2.85232i −0.0462284 + 0.217488i
\(173\) −12.7088 1.33575i −0.966232 0.101555i −0.391749 0.920072i \(-0.628130\pi\)
−0.574482 + 0.818517i \(0.694797\pi\)
\(174\) 0.462240 + 4.39792i 0.0350423 + 0.333405i
\(175\) −0.396131 + 0.998250i −0.0299447 + 0.0754606i
\(176\) 3.26450 + 1.45345i 0.246071 + 0.109558i
\(177\) 3.21283 + 2.89285i 0.241491 + 0.217440i
\(178\) 4.25102 1.38124i 0.318627 0.103528i
\(179\) −8.65239 9.60945i −0.646710 0.718244i 0.327257 0.944935i \(-0.393876\pi\)
−0.973967 + 0.226691i \(0.927209\pi\)
\(180\) −1.63062 + 1.53006i −0.121539 + 0.114044i
\(181\) 10.9370 + 18.9435i 0.812944 + 1.40806i 0.910795 + 0.412860i \(0.135470\pi\)
−0.0978504 + 0.995201i \(0.531197\pi\)
\(182\) 0.731537 + 0.237691i 0.0542251 + 0.0176188i
\(183\) −3.77486 8.47848i −0.279046 0.626747i
\(184\) 4.19942 3.05106i 0.309585 0.224927i
\(185\) 1.21994 4.03497i 0.0896916 0.296657i
\(186\) −0.478221 + 5.54719i −0.0350649 + 0.406740i
\(187\) 3.91950i 0.286622i
\(188\) 0.0182825 + 0.0251636i 0.00133339 + 0.00183525i
\(189\) −0.196225 + 0.0873650i −0.0142733 + 0.00635487i
\(190\) −15.1384 10.5301i −1.09825 0.763937i
\(191\) 6.52346 + 11.2990i 0.472021 + 0.817564i 0.999487 0.0320116i \(-0.0101913\pi\)
−0.527467 + 0.849576i \(0.676858\pi\)
\(192\) 0.866025 + 0.500000i 0.0625000 + 0.0360844i
\(193\) 1.24258 1.11883i 0.0894432 0.0805350i −0.623196 0.782065i \(-0.714166\pi\)
0.712639 + 0.701530i \(0.247500\pi\)
\(194\) 1.41585 + 4.35753i 0.101652 + 0.312852i
\(195\) −6.85084 + 4.14538i −0.490599 + 0.296857i
\(196\) −6.35267 2.82839i −0.453762 0.202028i
\(197\) −1.96661 9.25220i −0.140116 0.659192i −0.991003 0.133843i \(-0.957268\pi\)
0.850887 0.525349i \(-0.176065\pi\)
\(198\) −3.55386 + 0.373526i −0.252562 + 0.0265453i
\(199\) 1.30546 12.4206i 0.0925416 0.880474i −0.845506 0.533967i \(-0.820701\pi\)
0.938047 0.346508i \(-0.112633\pi\)
\(200\) −3.57508 + 3.49554i −0.252796 + 0.247172i
\(201\) −8.45263 6.14119i −0.596203 0.433166i
\(202\) −8.51979 + 11.7265i −0.599450 + 0.825073i
\(203\) −0.197486 + 0.929098i −0.0138608 + 0.0652099i
\(204\) 0.114651 1.09083i 0.00802720 0.0763737i
\(205\) 0.725997 3.79780i 0.0507058 0.265250i
\(206\) −7.27654 + 1.54668i −0.506981 + 0.107762i
\(207\) −2.11128 + 4.74200i −0.146744 + 0.329592i
\(208\) 2.66121 + 2.39616i 0.184522 + 0.166144i
\(209\) −9.10662 28.0273i −0.629918 1.93869i
\(210\) −0.434665 + 0.204332i −0.0299947 + 0.0141002i
\(211\) −3.09045 + 5.35282i −0.212756 + 0.368504i −0.952576 0.304301i \(-0.901577\pi\)
0.739820 + 0.672804i \(0.234910\pi\)
\(212\) 5.90292 3.40805i 0.405415 0.234066i
\(213\) −10.8152 3.51406i −0.741042 0.240779i
\(214\) 12.9684 5.77392i 0.886503 0.394697i
\(215\) −2.14198 6.15862i −0.146082 0.420014i
\(216\) −1.00000 −0.0680414
\(217\) −0.465889 + 1.10145i −0.0316266 + 0.0747713i
\(218\) 6.05072i 0.409806i
\(219\) −8.92426 + 6.48385i −0.603045 + 0.438138i
\(220\) −7.92783 + 0.998394i −0.534494 + 0.0673117i
\(221\) 1.21376 3.73557i 0.0816463 0.251281i
\(222\) 1.63260 0.942583i 0.109573 0.0632620i
\(223\) 12.7192 + 7.34345i 0.851742 + 0.491754i 0.861238 0.508201i \(-0.169689\pi\)
−0.00949609 + 0.999955i \(0.503023\pi\)
\(224\) 0.143726 + 0.159624i 0.00960310 + 0.0106653i
\(225\) 1.34833 4.81477i 0.0898890 0.320985i
\(226\) 10.3544 11.4997i 0.688763 0.764948i
\(227\) 11.7230 26.3302i 0.778081 1.74760i 0.122506 0.992468i \(-0.460907\pi\)
0.655574 0.755131i \(-0.272427\pi\)
\(228\) −1.71462 8.06665i −0.113553 0.534227i
\(229\) −0.459715 4.37390i −0.0303788 0.289035i −0.999155 0.0410986i \(-0.986914\pi\)
0.968776 0.247937i \(-0.0797525\pi\)
\(230\) −4.50201 + 10.6982i −0.296854 + 0.705421i
\(231\) −0.750784 0.159584i −0.0493979 0.0104999i
\(232\) −2.59927 + 3.57759i −0.170651 + 0.234880i
\(233\) 8.94016 12.3051i 0.585689 0.806132i −0.408615 0.912707i \(-0.633988\pi\)
0.994305 + 0.106574i \(0.0339882\pi\)
\(234\) −3.50276 0.744534i −0.228982 0.0486717i
\(235\) −0.0641057 0.0269768i −0.00418179 0.00175977i
\(236\) 0.451907 + 4.29961i 0.0294167 + 0.279881i
\(237\) −0.0214480 0.100905i −0.00139320 0.00655448i
\(238\) 0.0958258 0.215228i 0.00621146 0.0139512i
\(239\) 4.85882 5.39626i 0.314291 0.349055i −0.565215 0.824944i \(-0.691207\pi\)
0.879506 + 0.475889i \(0.157873\pi\)
\(240\) −2.23560 + 0.0459616i −0.144307 + 0.00296681i
\(241\) −4.82686 5.36078i −0.310926 0.345318i 0.567346 0.823479i \(-0.307970\pi\)
−0.878272 + 0.478161i \(0.841303\pi\)
\(242\) −1.53239 0.884724i −0.0985055 0.0568722i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) 2.86794 8.82662i 0.183601 0.565066i
\(245\) 15.4275 1.94286i 0.985624 0.124125i
\(246\) 1.39894 1.01639i 0.0891931 0.0648026i
\(247\) 29.5321i 1.87908i
\(248\) −4.06718 + 3.80237i −0.258266 + 0.241451i
\(249\) 12.1040 0.767062
\(250\) 2.79304 10.8258i 0.176647 0.684687i
\(251\) −15.8247 + 7.04562i −0.998847 + 0.444715i −0.839999 0.542588i \(-0.817445\pi\)
−0.158848 + 0.987303i \(0.550778\pi\)
\(252\) −0.204282 0.0663753i −0.0128686 0.00418125i
\(253\) −16.0638 + 9.27444i −1.00992 + 0.583079i
\(254\) −4.46717 + 7.73737i −0.280295 + 0.485486i
\(255\) 1.04341 + 2.21960i 0.0653410 + 0.138997i
\(256\) 0.309017 + 0.951057i 0.0193136 + 0.0594410i
\(257\) −6.76542 6.09161i −0.422015 0.379984i 0.430583 0.902551i \(-0.358308\pi\)
−0.852598 + 0.522567i \(0.824975\pi\)
\(258\) 1.18606 2.66394i 0.0738411 0.165850i
\(259\) 0.396076 0.0841885i 0.0246110 0.00523122i
\(260\) −7.86497 1.50348i −0.487765 0.0932421i
\(261\) 0.462240 4.39792i 0.0286119 0.272224i
\(262\) −1.42814 + 6.71888i −0.0882309 + 0.415094i
\(263\) 4.85313 6.67976i 0.299257 0.411892i −0.632736 0.774367i \(-0.718068\pi\)
0.931993 + 0.362475i \(0.118068\pi\)
\(264\) −2.89097 2.10041i −0.177927 0.129271i
\(265\) −7.34772 + 13.3532i −0.451367 + 0.820280i
\(266\) 0.185160 1.76168i 0.0113529 0.108016i
\(267\) −4.44530 + 0.467220i −0.272048 + 0.0285934i
\(268\) −2.17227 10.2197i −0.132692 0.624268i
\(269\) 6.74398 + 3.00261i 0.411188 + 0.183073i 0.601896 0.798574i \(-0.294412\pi\)
−0.190709 + 0.981647i \(0.561079\pi\)
\(270\) 1.91310 1.15760i 0.116428 0.0704494i
\(271\) −3.41464 10.5092i −0.207425 0.638388i −0.999605 0.0281008i \(-0.991054\pi\)
0.792180 0.610287i \(-0.208946\pi\)
\(272\) 0.815114 0.733932i 0.0494235 0.0445011i
\(273\) −0.666132 0.384592i −0.0403162 0.0232766i
\(274\) −0.741466 1.28426i −0.0447936 0.0775848i
\(275\) 14.0110 11.0873i 0.844895 0.668589i
\(276\) −4.74200 + 2.11128i −0.285435 + 0.127084i
\(277\) 11.9888 + 16.5011i 0.720336 + 0.991457i 0.999513 + 0.0312176i \(0.00993850\pi\)
−0.279177 + 0.960240i \(0.590062\pi\)
\(278\) 14.4579i 0.867129i
\(279\) 1.62110 5.32654i 0.0970525 0.318892i
\(280\) −0.459743 0.138999i −0.0274749 0.00830680i
\(281\) −0.221437 + 0.160883i −0.0132098 + 0.00959749i −0.594371 0.804191i \(-0.702599\pi\)
0.581161 + 0.813789i \(0.302599\pi\)
\(282\) −0.0126511 0.0284149i −0.000753363 0.00169208i
\(283\) −16.4588 5.34778i −0.978373 0.317893i −0.224182 0.974547i \(-0.571971\pi\)
−0.754191 + 0.656655i \(0.771971\pi\)
\(284\) −5.68586 9.84820i −0.337394 0.584383i
\(285\) 12.6182 + 13.4475i 0.747438 + 0.796559i
\(286\) −8.56254 9.50966i −0.506313 0.562318i
\(287\) 0.353242 0.114775i 0.0208512 0.00677496i
\(288\) −0.743145 0.669131i −0.0437902 0.0394289i
\(289\) 14.4312 + 6.42519i 0.848895 + 0.377952i
\(290\) 0.831246 9.85321i 0.0488125 0.578601i
\(291\) −0.478926 4.55668i −0.0280751 0.267117i
\(292\) −10.9706 1.15305i −0.642003 0.0674773i
\(293\) −4.41369 + 20.7648i −0.257850 + 1.21309i 0.638457 + 0.769657i \(0.279573\pi\)
−0.896307 + 0.443433i \(0.853760\pi\)
\(294\) 5.62579 + 4.08738i 0.328103 + 0.238381i
\(295\) −5.84178 7.70247i −0.340122 0.448455i
\(296\) 1.84397 + 0.391948i 0.107179 + 0.0227815i
\(297\) 3.55386 + 0.373526i 0.206216 + 0.0216742i
\(298\) −12.2643 + 1.28903i −0.710453 + 0.0746716i
\(299\) −18.1820 + 3.86470i −1.05149 + 0.223501i
\(300\) 4.22372 2.67586i 0.243856 0.154491i
\(301\) 0.419112 0.465471i 0.0241572 0.0268293i
\(302\) −12.6438 + 4.10821i −0.727568 + 0.236401i
\(303\) 10.7717 9.69887i 0.618817 0.557186i
\(304\) 4.12343 7.14199i 0.236495 0.409621i
\(305\) 4.73104 + 20.2062i 0.270899 + 1.15700i
\(306\) −0.338943 + 1.04316i −0.0193761 + 0.0596335i
\(307\) −10.5084 23.6023i −0.599748 1.34706i −0.917066 0.398736i \(-0.869449\pi\)
0.317318 0.948319i \(-0.397218\pi\)
\(308\) −0.451158 0.620966i −0.0257071 0.0353828i
\(309\) 7.43911 0.423196
\(310\) 3.37930 11.9825i 0.191931 0.680560i
\(311\) −31.4231 −1.78184 −0.890921 0.454159i \(-0.849940\pi\)
−0.890921 + 0.454159i \(0.849940\pi\)
\(312\) −2.10486 2.89710i −0.119165 0.164016i
\(313\) 11.4957 + 25.8198i 0.649776 + 1.45942i 0.874513 + 0.485002i \(0.161181\pi\)
−0.224736 + 0.974420i \(0.572152\pi\)
\(314\) −4.76652 + 14.6698i −0.268990 + 0.827867i
\(315\) 0.467649 0.109495i 0.0263490 0.00616933i
\(316\) 0.0515796 0.0893385i 0.00290158 0.00502568i
\(317\) −16.6157 + 14.9609i −0.933231 + 0.840285i −0.987400 0.158247i \(-0.949416\pi\)
0.0541683 + 0.998532i \(0.482749\pi\)
\(318\) −6.48251 + 2.10629i −0.363521 + 0.118115i
\(319\) 10.5738 11.7434i 0.592017 0.657502i
\(320\) −1.69213 1.46175i −0.0945927 0.0817143i
\(321\) −13.8855 + 2.95145i −0.775013 + 0.164734i
\(322\) −1.10884 + 0.116544i −0.0617934 + 0.00649475i
\(323\) −8.99596 0.945514i −0.500549 0.0526098i
\(324\) 0.978148 + 0.207912i 0.0543415 + 0.0115506i
\(325\) 16.7869 6.22818i 0.931171 0.345477i
\(326\) −1.43698 1.04403i −0.0795870 0.0578233i
\(327\) 1.25801 5.91849i 0.0695684 0.327293i
\(328\) 1.71971 + 0.180749i 0.0949552 + 0.00998019i
\(329\) −0.000698353 0.00664438i −3.85014e−5 0.000366317i
\(330\) 7.96216 + 0.671712i 0.438303 + 0.0369765i
\(331\) 22.1159 + 9.84663i 1.21560 + 0.541220i 0.911453 0.411405i \(-0.134962\pi\)
0.304147 + 0.952625i \(0.401629\pi\)
\(332\) 8.99506 + 8.09918i 0.493668 + 0.444500i
\(333\) −1.79290 + 0.582548i −0.0982503 + 0.0319235i
\(334\) −6.87486 7.63531i −0.376176 0.417785i
\(335\) 15.9861 + 17.0367i 0.873415 + 0.930816i
\(336\) −0.107398 0.186018i −0.00585902 0.0101481i
\(337\) −9.42879 3.06360i −0.513619 0.166885i 0.0407284 0.999170i \(-0.487032\pi\)
−0.554348 + 0.832285i \(0.687032\pi\)
\(338\) 0.0717345 + 0.161118i 0.00390184 + 0.00876368i
\(339\) −12.5190 + 9.09561i −0.679940 + 0.494005i
\(340\) −0.709795 + 2.34766i −0.0384940 + 0.127320i
\(341\) 15.8745 11.9939i 0.859651 0.649506i
\(342\) 8.24686i 0.445939i
\(343\) 1.76172 + 2.42480i 0.0951241 + 0.130927i
\(344\) 2.66394 1.18606i 0.143630 0.0639482i
\(345\) 6.62792 9.52843i 0.356835 0.512994i
\(346\) 6.38940 + 11.0668i 0.343496 + 0.594953i
\(347\) −26.8935 15.5270i −1.44372 0.833532i −0.445624 0.895220i \(-0.647018\pi\)
−0.998095 + 0.0616883i \(0.980352\pi\)
\(348\) 3.28629 2.95899i 0.176164 0.158619i
\(349\) 9.49260 + 29.2152i 0.508127 + 1.56385i 0.795449 + 0.606020i \(0.207235\pi\)
−0.287322 + 0.957834i \(0.592765\pi\)
\(350\) 1.04044 0.266280i 0.0556139 0.0142333i
\(351\) 3.27142 + 1.45653i 0.174615 + 0.0777437i
\(352\) −0.742959 3.49535i −0.0395999 0.186303i
\(353\) 9.49390 0.997849i 0.505309 0.0531102i 0.151556 0.988449i \(-0.451572\pi\)
0.353754 + 0.935339i \(0.384905\pi\)
\(354\) 0.451907 4.29961i 0.0240186 0.228522i
\(355\) 22.2779 + 12.2586i 1.18239 + 0.650621i
\(356\) −3.61613 2.62728i −0.191655 0.139245i
\(357\) −0.138480 + 0.190602i −0.00732915 + 0.0100877i
\(358\) −2.68846 + 12.6482i −0.142090 + 0.668479i
\(359\) −2.17440 + 20.6880i −0.114760 + 1.09187i 0.773900 + 0.633308i \(0.218303\pi\)
−0.888661 + 0.458565i \(0.848363\pi\)
\(360\) 2.19630 + 0.419849i 0.115755 + 0.0221280i
\(361\) −47.9397 + 10.1899i −2.52314 + 0.536310i
\(362\) 8.89699 19.9830i 0.467616 1.05028i
\(363\) 1.31496 + 1.18399i 0.0690173 + 0.0621434i
\(364\) −0.237691 0.731537i −0.0124584 0.0383430i
\(365\) 22.3226 10.4936i 1.16842 0.549262i
\(366\) −4.64043 + 8.03746i −0.242559 + 0.420125i
\(367\) 26.8577 15.5063i 1.40196 0.809421i 0.407365 0.913265i \(-0.366448\pi\)
0.994594 + 0.103844i \(0.0331142\pi\)
\(368\) −4.93671 1.60404i −0.257344 0.0836161i
\(369\) −1.57969 + 0.703323i −0.0822353 + 0.0366135i
\(370\) −3.98142 + 1.38475i −0.206984 + 0.0719896i
\(371\) −1.46407 −0.0760106
\(372\) 4.76886 2.87367i 0.247254 0.148993i
\(373\) 15.7230i 0.814104i 0.913405 + 0.407052i \(0.133443\pi\)
−0.913405 + 0.407052i \(0.866557\pi\)
\(374\) −3.17094 + 2.30382i −0.163966 + 0.119128i
\(375\) −4.98282 + 10.0086i −0.257312 + 0.516840i
\(376\) 0.00961166 0.0295816i 0.000495683 0.00152556i
\(377\) 13.7142 7.91787i 0.706315 0.407791i
\(378\) 0.186018 + 0.107398i 0.00956773 + 0.00552393i
\(379\) 19.8420 + 22.0368i 1.01921 + 1.13195i 0.991204 + 0.132345i \(0.0422507\pi\)
0.0280110 + 0.999608i \(0.491083\pi\)
\(380\) 0.379039 + 18.4366i 0.0194443 + 0.945780i
\(381\) 5.97824 6.63951i 0.306275 0.340152i
\(382\) 5.30666 11.9190i 0.271512 0.609827i
\(383\) 1.22511 + 5.76371i 0.0626004 + 0.294512i 0.998300 0.0582863i \(-0.0185636\pi\)
−0.935700 + 0.352798i \(0.885230\pi\)
\(384\) −0.104528 0.994522i −0.00533420 0.0507515i
\(385\) 1.58194 + 0.665710i 0.0806233 + 0.0339277i
\(386\) −1.63552 0.347641i −0.0832460 0.0176945i
\(387\) −1.71401 + 2.35913i −0.0871280 + 0.119921i
\(388\) 2.69310 3.70674i 0.136721 0.188181i
\(389\) −13.7665 2.92616i −0.697990 0.148362i −0.154767 0.987951i \(-0.549463\pi\)
−0.543223 + 0.839588i \(0.682796\pi\)
\(390\) 7.38051 + 3.10585i 0.373726 + 0.157271i
\(391\) 0.595129 + 5.66227i 0.0300969 + 0.286353i
\(392\) 1.44579 + 6.80190i 0.0730234 + 0.343548i
\(393\) 2.79387 6.27513i 0.140932 0.316538i
\(394\) −6.32924 + 7.02933i −0.318862 + 0.354132i
\(395\) 0.00474136 + 0.230622i 0.000238564 + 0.0116039i
\(396\) 2.39110 + 2.65558i 0.120157 + 0.133448i
\(397\) 12.6535 + 7.30551i 0.635062 + 0.366653i 0.782710 0.622387i \(-0.213837\pi\)
−0.147648 + 0.989040i \(0.547170\pi\)
\(398\) −10.8158 + 6.24452i −0.542148 + 0.313009i
\(399\) −0.547388 + 1.68469i −0.0274037 + 0.0843399i
\(400\) 4.92933 + 0.837668i 0.246467 + 0.0418834i
\(401\) 18.3249 13.3138i 0.915103 0.664861i −0.0271972 0.999630i \(-0.508658\pi\)
0.942300 + 0.334769i \(0.108658\pi\)
\(402\) 10.4480i 0.521100i
\(403\) 18.8437 6.51518i 0.938672 0.324544i
\(404\) 14.4947 0.721140
\(405\) −2.11197 + 0.734549i −0.104945 + 0.0365000i
\(406\) 0.867736 0.386341i 0.0430650 0.0191738i
\(407\) −6.40681 2.08170i −0.317574 0.103186i
\(408\) −0.949894 + 0.548422i −0.0470268 + 0.0271509i
\(409\) 2.50816 4.34426i 0.124020 0.214810i −0.797329 0.603545i \(-0.793754\pi\)
0.921350 + 0.388735i \(0.127088\pi\)
\(410\) −3.49922 + 1.64495i −0.172814 + 0.0812383i
\(411\) 0.458251 + 1.41035i 0.0226039 + 0.0695675i
\(412\) 5.52833 + 4.97773i 0.272361 + 0.245235i
\(413\) 0.377705 0.848339i 0.0185856 0.0417440i
\(414\) 5.07734 1.07922i 0.249537 0.0530408i
\(415\) −26.5841 5.08187i −1.30496 0.249459i
\(416\) 0.374317 3.56139i 0.0183524 0.174612i
\(417\) −3.00597 + 14.1420i −0.147203 + 0.692536i
\(418\) −17.3218 + 23.8414i −0.847238 + 1.16612i
\(419\) −9.30984 6.76400i −0.454816 0.330443i 0.336679 0.941620i \(-0.390696\pi\)
−0.791494 + 0.611177i \(0.790696\pi\)
\(420\) 0.420797 + 0.231548i 0.0205328 + 0.0112984i
\(421\) 2.83051 26.9305i 0.137951 1.31251i −0.678288 0.734796i \(-0.737278\pi\)
0.816238 0.577715i \(-0.196056\pi\)
\(422\) 6.14705 0.646081i 0.299234 0.0314507i
\(423\) 0.00646688 + 0.0304243i 0.000314430 + 0.00147928i
\(424\) −6.22683 2.77236i −0.302401 0.134638i
\(425\) −1.35975 5.31298i −0.0659575 0.257717i
\(426\) 3.51406 + 10.8152i 0.170257 + 0.523996i
\(427\) −1.48145 + 1.33390i −0.0716922 + 0.0645519i
\(428\) −12.2938 7.09786i −0.594246 0.343088i
\(429\) 6.39826 + 11.0821i 0.308911 + 0.535049i
\(430\) −3.72340 + 5.35284i −0.179558 + 0.258137i
\(431\) −31.1729 + 13.8791i −1.50155 + 0.668532i −0.982508 0.186218i \(-0.940377\pi\)
−0.519040 + 0.854750i \(0.673710\pi\)
\(432\) 0.587785 + 0.809017i 0.0282798 + 0.0389238i
\(433\) 38.2081i 1.83616i 0.396391 + 0.918082i \(0.370263\pi\)
−0.396391 + 0.918082i \(0.629737\pi\)
\(434\) 1.16493 0.270504i 0.0559186 0.0129846i
\(435\) −2.86168 + 9.46507i −0.137207 + 0.453815i
\(436\) 4.89513 3.55652i 0.234434 0.170326i
\(437\) 17.4114 + 39.1066i 0.832900 + 1.87072i
\(438\) 10.4911 + 3.40876i 0.501284 + 0.162877i
\(439\) 0.292378 + 0.506414i 0.0139545 + 0.0241698i 0.872918 0.487866i \(-0.162225\pi\)
−0.858964 + 0.512036i \(0.828891\pi\)
\(440\) 5.46758 + 5.82691i 0.260657 + 0.277787i
\(441\) −4.65304 5.16773i −0.221573 0.246082i
\(442\) −3.73557 + 1.21376i −0.177683 + 0.0577326i
\(443\) −10.6204 9.56261i −0.504588 0.454333i 0.377095 0.926174i \(-0.376923\pi\)
−0.881684 + 0.471841i \(0.843590\pi\)
\(444\) −1.72219 0.766766i −0.0817313 0.0363891i
\(445\) 9.95937 + 0.840202i 0.472119 + 0.0398294i
\(446\) −1.53520 14.6064i −0.0726938 0.691635i
\(447\) 12.2643 + 1.28903i 0.580082 + 0.0609691i
\(448\) 0.0446584 0.210101i 0.00210991 0.00992635i
\(449\) 19.6373 + 14.2674i 0.926743 + 0.673318i 0.945193 0.326511i \(-0.105873\pi\)
−0.0184500 + 0.999830i \(0.505873\pi\)
\(450\) −4.68776 + 1.73922i −0.220983 + 0.0819878i
\(451\) −6.04410 1.28471i −0.284606 0.0604948i
\(452\) −15.3896 1.61751i −0.723866 0.0760814i
\(453\) 13.2216 1.38965i 0.621206 0.0652914i
\(454\) −28.1922 + 5.99243i −1.32312 + 0.281239i
\(455\) 1.30155 + 1.12435i 0.0610178 + 0.0527105i
\(456\) −5.51823 + 6.12861i −0.258415 + 0.286999i
\(457\) 38.7939 12.6049i 1.81470 0.589632i 0.814749 0.579814i \(-0.196875\pi\)
0.999952 0.00981859i \(-0.00312541\pi\)
\(458\) −3.26834 + 2.94283i −0.152720 + 0.137509i
\(459\) 0.548422 0.949894i 0.0255981 0.0443373i
\(460\) 11.3013 2.64606i 0.526924 0.123373i
\(461\) −8.40924 + 25.8810i −0.391657 + 1.20540i 0.539877 + 0.841744i \(0.318471\pi\)
−0.931534 + 0.363654i \(0.881529\pi\)
\(462\) 0.312193 + 0.701198i 0.0145246 + 0.0326227i
\(463\) 18.1827 + 25.0263i 0.845021 + 1.16307i 0.984938 + 0.172909i \(0.0553166\pi\)
−0.139916 + 0.990163i \(0.544683\pi\)
\(464\) 4.42214 0.205293
\(465\) −5.79675 + 11.0181i −0.268818 + 0.510950i
\(466\) −15.2099 −0.704586
\(467\) −2.95885 4.07250i −0.136919 0.188453i 0.735051 0.678011i \(-0.237158\pi\)
−0.871971 + 0.489558i \(0.837158\pi\)
\(468\) 1.45653 + 3.27142i 0.0673280 + 0.151221i
\(469\) −0.693491 + 2.13435i −0.0320224 + 0.0985550i
\(470\) 0.0158557 + 0.0677191i 0.000731368 + 0.00312365i
\(471\) 7.71239 13.3583i 0.355368 0.615516i
\(472\) 3.21283 2.89285i 0.147883 0.133154i
\(473\) −9.91030 + 3.22005i −0.455676 + 0.148058i
\(474\) −0.0690270 + 0.0766623i −0.00317052 + 0.00352121i
\(475\) −22.0674 34.8324i −1.01252 1.59822i
\(476\) −0.230448 + 0.0489833i −0.0105626 + 0.00224515i
\(477\) 6.77877 0.712477i 0.310379 0.0326221i
\(478\) −7.22161 0.759022i −0.330309 0.0347168i
\(479\) −18.0188 3.83001i −0.823298 0.174997i −0.223046 0.974808i \(-0.571600\pi\)
−0.600252 + 0.799811i \(0.704933\pi\)
\(480\) 1.35123 + 1.78162i 0.0616751 + 0.0813194i
\(481\) −5.46151 3.96802i −0.249024 0.180926i
\(482\) −1.49980 + 7.05600i −0.0683140 + 0.321392i
\(483\) 1.10884 + 0.116544i 0.0504541 + 0.00530294i
\(484\) 0.184958 + 1.75975i 0.00840716 + 0.0799888i
\(485\) −0.861253 + 10.2089i −0.0391075 + 0.463562i
\(486\) −0.913545 0.406737i −0.0414393 0.0184499i
\(487\) 26.1573 + 23.5521i 1.18530 + 1.06725i 0.996359 + 0.0852604i \(0.0271722\pi\)
0.188941 + 0.981988i \(0.439494\pi\)
\(488\) −8.82662 + 2.86794i −0.399562 + 0.129826i
\(489\) 1.18851 + 1.31998i 0.0537464 + 0.0596915i
\(490\) −10.6398 11.3391i −0.480659 0.512248i
\(491\) 20.1147 + 34.8397i 0.907765 + 1.57229i 0.817163 + 0.576407i \(0.195546\pi\)
0.0906018 + 0.995887i \(0.471121\pi\)
\(492\) −1.64455 0.534347i −0.0741421 0.0240902i
\(493\) −1.97284 4.43106i −0.0888520 0.199565i
\(494\) −23.8920 + 17.3585i −1.07495 + 0.780997i
\(495\) −7.64851 2.31246i −0.343775 0.103937i
\(496\) 5.46681 + 1.05544i 0.245467 + 0.0473907i
\(497\) 2.44259i 0.109565i
\(498\) −7.11458 9.79237i −0.318812 0.438807i
\(499\) 11.8586 5.27979i 0.530864 0.236356i −0.123758 0.992312i \(-0.539495\pi\)
0.654622 + 0.755957i \(0.272828\pi\)
\(500\) −10.4000 + 4.10366i −0.465102 + 0.183521i
\(501\) 5.13716 + 8.89782i 0.229511 + 0.397525i
\(502\) 15.0016 + 8.66115i 0.669552 + 0.386566i
\(503\) 15.0021 13.5079i 0.668910 0.602289i −0.263080 0.964774i \(-0.584738\pi\)
0.931990 + 0.362485i \(0.118072\pi\)
\(504\) 0.0663753 + 0.204282i 0.00295659 + 0.00909946i
\(505\) −27.7299 + 16.7791i −1.23396 + 0.746662i
\(506\) 16.9452 + 7.54451i 0.753308 + 0.335394i
\(507\) −0.0366685 0.172512i −0.00162851 0.00766152i
\(508\) 8.88540 0.933893i 0.394226 0.0414348i
\(509\) −0.775590 + 7.37925i −0.0343774 + 0.327079i 0.963795 + 0.266645i \(0.0859152\pi\)
−0.998172 + 0.0604342i \(0.980751\pi\)
\(510\) 1.18239 2.14879i 0.0523571 0.0951498i
\(511\) 1.91689 + 1.39270i 0.0847981 + 0.0616094i
\(512\) 0.587785 0.809017i 0.0259767 0.0357538i
\(513\) 1.71462 8.06665i 0.0757023 0.356151i
\(514\) −0.951603 + 9.05390i −0.0419734 + 0.399350i
\(515\) −16.3385 3.12330i −0.719960 0.137629i
\(516\) −2.85232 + 0.606280i −0.125567 + 0.0266900i
\(517\) −0.0452080 + 0.101539i −0.00198825 + 0.00446567i
\(518\) −0.300918 0.270947i −0.0132216 0.0119047i
\(519\) −3.94887 12.1534i −0.173336 0.533473i
\(520\) 3.40657 + 7.24662i 0.149388 + 0.317785i
\(521\) −2.80767 + 4.86302i −0.123006 + 0.213053i −0.920952 0.389677i \(-0.872587\pi\)
0.797946 + 0.602729i \(0.205920\pi\)
\(522\) −3.82969 + 2.21107i −0.167621 + 0.0967760i
\(523\) 26.2176 + 8.51861i 1.14642 + 0.372493i 0.819792 0.572662i \(-0.194089\pi\)
0.326623 + 0.945155i \(0.394089\pi\)
\(524\) 6.27513 2.79387i 0.274130 0.122051i
\(525\) −1.07307 + 0.0441411i −0.0468325 + 0.00192647i
\(526\) −8.25664 −0.360007
\(527\) −1.38132 5.94870i −0.0601713 0.259129i
\(528\) 3.57344i 0.155514i
\(529\) 3.19082 2.31826i 0.138731 0.100794i
\(530\) 15.1218 1.90437i 0.656851 0.0827207i
\(531\) −1.33597 + 4.11170i −0.0579762 + 0.178433i
\(532\) −1.53406 + 0.885693i −0.0665101 + 0.0383996i
\(533\) −5.36262 3.09611i −0.232281 0.134108i
\(534\) 2.99087 + 3.32170i 0.129428 + 0.143744i
\(535\) 31.7359 0.652457i 1.37206 0.0282082i
\(536\) −6.99109 + 7.76440i −0.301969 + 0.335371i
\(537\) 5.25943 11.8129i 0.226961 0.509763i
\(538\) −1.53485 7.22088i −0.0661719 0.311314i
\(539\) −2.59745 24.7131i −0.111880 1.06447i
\(540\) −2.06101 0.867311i −0.0886919 0.0373231i
\(541\) −8.23942 1.75134i −0.354240 0.0752961i 0.0273545 0.999626i \(-0.491292\pi\)
−0.381595 + 0.924330i \(0.624625\pi\)
\(542\) −6.49504 + 8.93965i −0.278986 + 0.383991i
\(543\) −12.8573 + 17.6965i −0.551758 + 0.759430i
\(544\) −1.07287 0.228047i −0.0459991 0.00977742i
\(545\) −5.24785 + 12.4706i −0.224793 + 0.534182i
\(546\) 0.0804016 + 0.764970i 0.00344087 + 0.0327377i
\(547\) −8.57490 40.3417i −0.366636 1.72489i −0.644797 0.764354i \(-0.723058\pi\)
0.278161 0.960534i \(-0.410275\pi\)
\(548\) −0.603163 + 1.35473i −0.0257658 + 0.0578710i
\(549\) 6.21010 6.89702i 0.265041 0.294358i
\(550\) −17.2053 4.81819i −0.733635 0.205448i
\(551\) −24.4024 27.1016i −1.03958 1.15457i
\(552\) 4.49534 + 2.59538i 0.191334 + 0.110467i
\(553\) −0.0191895 + 0.0110790i −0.000816020 + 0.000471129i
\(554\) 6.30287 19.3983i 0.267783 0.824153i
\(555\) 4.18233 0.526703i 0.177530 0.0223573i
\(556\) −11.6967 + 8.49816i −0.496051 + 0.360402i
\(557\) 19.0402i 0.806759i 0.915033 + 0.403379i \(0.132164\pi\)
−0.915033 + 0.403379i \(0.867836\pi\)
\(558\) −5.26212 + 1.81937i −0.222763 + 0.0770200i
\(559\) −10.4424 −0.441666
\(560\) 0.157778 + 0.453642i 0.00666732 + 0.0191699i
\(561\) 3.58064 1.59420i 0.151175 0.0673074i
\(562\) 0.260315 + 0.0845813i 0.0109807 + 0.00356785i
\(563\) −36.5408 + 21.0968i −1.54001 + 0.889126i −0.541174 + 0.840910i \(0.682020\pi\)
−0.998837 + 0.0482154i \(0.984647\pi\)
\(564\) −0.0155520 + 0.0269368i −0.000654857 + 0.00113425i
\(565\) 31.3143 14.7206i 1.31740 0.619299i
\(566\) 5.34778 + 16.4588i 0.224784 + 0.691814i
\(567\) −0.159624 0.143726i −0.00670357 0.00603592i
\(568\) −4.62530 + 10.3886i −0.194073 + 0.435895i
\(569\) −18.8862 + 4.01438i −0.791750 + 0.168292i −0.585998 0.810313i \(-0.699297\pi\)
−0.205752 + 0.978604i \(0.565964\pi\)
\(570\) 3.46244 18.1126i 0.145026 0.758652i
\(571\) 1.18617 11.2857i 0.0496398 0.472292i −0.941259 0.337685i \(-0.890356\pi\)
0.990899 0.134607i \(-0.0429771\pi\)
\(572\) −2.66054 + 12.5169i −0.111243 + 0.523357i
\(573\) −7.66879 + 10.5552i −0.320368 + 0.440949i
\(574\) −0.300485 0.218315i −0.0125420 0.00911231i
\(575\) −18.5574 + 18.1446i −0.773897 + 0.756680i
\(576\) −0.104528 + 0.994522i −0.00435535 + 0.0414384i
\(577\) −38.7736 + 4.07527i −1.61417 + 0.169656i −0.868160 0.496284i \(-0.834698\pi\)
−0.746006 + 0.665939i \(0.768031\pi\)
\(578\) −3.28437 15.4517i −0.136612 0.642707i
\(579\) 1.52750 + 0.680089i 0.0634809 + 0.0282635i
\(580\) −8.46001 + 5.11908i −0.351283 + 0.212558i
\(581\) −0.803410 2.47264i −0.0333311 0.102582i
\(582\) −3.40492 + 3.06581i −0.141139 + 0.127082i
\(583\) 21.0937 + 12.1785i 0.873613 + 0.504381i
\(584\) 5.51549 + 9.55312i 0.228233 + 0.395311i
\(585\) −6.57348 4.57247i −0.271780 0.189048i
\(586\) 19.3933 8.63447i 0.801132 0.356687i
\(587\) 1.92402 + 2.64819i 0.0794128 + 0.109302i 0.846875 0.531791i \(-0.178481\pi\)
−0.767463 + 0.641094i \(0.778481\pi\)
\(588\) 6.95386i 0.286772i
\(589\) −23.6987 39.3281i −0.976489 1.62049i
\(590\) −2.79771 + 9.25350i −0.115180 + 0.380960i
\(591\) 7.65241 5.55980i 0.314778 0.228700i
\(592\) −0.766766 1.72219i −0.0315139 0.0707814i
\(593\) −15.7998 5.13365i −0.648818 0.210814i −0.0339251 0.999424i \(-0.510801\pi\)
−0.614893 + 0.788611i \(0.710801\pi\)
\(594\) −1.78672 3.09469i −0.0733099 0.126977i
\(595\) 0.384168 0.360477i 0.0157493 0.0147781i
\(596\) 8.25164 + 9.16437i 0.338000 + 0.375387i
\(597\) 11.8778 3.85932i 0.486125 0.157952i
\(598\) 13.8137 + 12.4379i 0.564885 + 0.508625i
\(599\) 8.71724 + 3.88117i 0.356177 + 0.158580i 0.577022 0.816729i \(-0.304215\pi\)
−0.220845 + 0.975309i \(0.570881\pi\)
\(600\) −4.64745 1.84423i −0.189731 0.0752903i
\(601\) 3.01120 + 28.6496i 0.122829 + 1.16864i 0.866177 + 0.499737i \(0.166570\pi\)
−0.743348 + 0.668905i \(0.766763\pi\)
\(602\) −0.622921 0.0654717i −0.0253884 0.00266843i
\(603\) 2.17227 10.2197i 0.0884615 0.416179i
\(604\) 10.7554 + 7.81429i 0.437633 + 0.317959i
\(605\) −2.39094 3.15248i −0.0972054 0.128167i
\(606\) −14.1780 3.01363i −0.575942 0.122420i
\(607\) −39.1134 4.11098i −1.58756 0.166860i −0.730808 0.682583i \(-0.760856\pi\)
−0.856755 + 0.515724i \(0.827523\pi\)
\(608\) −8.20168 + 0.862032i −0.332622 + 0.0349600i
\(609\) −0.929098 + 0.197486i −0.0376490 + 0.00800253i
\(610\) 13.5663 15.7044i 0.549283 0.635851i
\(611\) −0.0745302 + 0.0827742i −0.00301517 + 0.00334868i
\(612\) 1.04316 0.338943i 0.0421672 0.0137010i
\(613\) −10.3947 + 9.35942i −0.419837 + 0.378023i −0.851799 0.523869i \(-0.824488\pi\)
0.431962 + 0.901892i \(0.357822\pi\)
\(614\) −12.9180 + 22.3746i −0.521327 + 0.902965i
\(615\) 3.76476 0.881475i 0.151810 0.0355445i
\(616\) −0.237188 + 0.729990i −0.00955658 + 0.0294121i
\(617\) −19.6180 44.0626i −0.789789 1.77390i −0.613730 0.789516i \(-0.710332\pi\)
−0.176059 0.984380i \(-0.556335\pi\)
\(618\) −4.37260 6.01836i −0.175892 0.242094i
\(619\) −21.7555 −0.874426 −0.437213 0.899358i \(-0.644034\pi\)
−0.437213 + 0.899358i \(0.644034\pi\)
\(620\) −11.6803 + 4.30923i −0.469094 + 0.173063i
\(621\) −5.19077 −0.208298
\(622\) 18.4700 + 25.4218i 0.740581 + 1.01932i
\(623\) 0.390503 + 0.877085i 0.0156452 + 0.0351396i
\(624\) −1.10659 + 3.40574i −0.0442992 + 0.136339i
\(625\) 15.1459 19.8898i 0.605834 0.795591i
\(626\) 14.1316 24.4767i 0.564814 0.978287i
\(627\) 21.9002 19.7190i 0.874610 0.787502i
\(628\) 14.6698 4.76652i 0.585391 0.190205i
\(629\) −1.38358 + 1.53662i −0.0551671 + 0.0612692i
\(630\) −0.363460 0.313977i −0.0144806 0.0125091i
\(631\) 18.6041 3.95443i 0.740619 0.157423i 0.177873 0.984053i \(-0.443078\pi\)
0.562746 + 0.826630i \(0.309745\pi\)
\(632\) −0.102594 + 0.0107831i −0.00408098 + 0.000428928i
\(633\) −6.14705 0.646081i −0.244323 0.0256794i
\(634\) 21.8701 + 4.64862i 0.868571 + 0.184620i
\(635\) −15.9176 + 12.0724i −0.631671 + 0.479078i
\(636\) 5.51435 + 4.00641i 0.218658 + 0.158864i
\(637\) 5.17739 24.3577i 0.205136 0.965087i
\(638\) −15.7157 1.65178i −0.622190 0.0653948i
\(639\) −1.18867 11.3094i −0.0470230 0.447394i
\(640\) −0.187974 + 2.22815i −0.00743031 + 0.0880755i
\(641\) 34.0654 + 15.1669i 1.34550 + 0.599056i 0.947919 0.318510i \(-0.103182\pi\)
0.397583 + 0.917566i \(0.369849\pi\)
\(642\) 10.5495 + 9.49878i 0.416354 + 0.374887i
\(643\) 22.8698 7.43083i 0.901895 0.293044i 0.178876 0.983872i \(-0.442754\pi\)
0.723019 + 0.690828i \(0.242754\pi\)
\(644\) 0.746048 + 0.828570i 0.0293984 + 0.0326502i
\(645\) 4.75496 4.46173i 0.187226 0.175681i
\(646\) 4.52276 + 7.83364i 0.177945 + 0.308211i
\(647\) 11.3653 + 3.69281i 0.446816 + 0.145179i 0.523778 0.851855i \(-0.324522\pi\)
−0.0769620 + 0.997034i \(0.524522\pi\)
\(648\) −0.406737 0.913545i −0.0159781 0.0358875i
\(649\) −12.4985 + 9.08071i −0.490610 + 0.356449i
\(650\) −14.9058 9.92007i −0.584654 0.389097i
\(651\) −1.19572 + 0.0223898i −0.0468639 + 0.000877526i
\(652\) 1.77621i 0.0695616i
\(653\) −19.4011 26.7033i −0.759222 1.04498i −0.997278 0.0737285i \(-0.976510\pi\)
0.238056 0.971251i \(-0.423490\pi\)
\(654\) −5.52760 + 2.46105i −0.216146 + 0.0962346i
\(655\) −8.77077 + 12.6090i −0.342702 + 0.492676i
\(656\) −0.864592 1.49752i −0.0337566 0.0584682i
\(657\) −9.55312 5.51549i −0.372703 0.215180i
\(658\) −0.00496494 + 0.00447045i −0.000193553 + 0.000174276i
\(659\) 4.74744 + 14.6111i 0.184934 + 0.569168i 0.999947 0.0102740i \(-0.00327036\pi\)
−0.815013 + 0.579442i \(0.803270\pi\)
\(660\) −4.13662 6.83635i −0.161018 0.266104i
\(661\) 0.775686 + 0.345358i 0.0301707 + 0.0134329i 0.421767 0.906704i \(-0.361410\pi\)
−0.391596 + 0.920137i \(0.628077\pi\)
\(662\) −5.03331 23.6798i −0.195625 0.920343i
\(663\) 3.90629 0.410568i 0.151708 0.0159451i
\(664\) 1.26522 12.0377i 0.0490999 0.467155i
\(665\) 1.90954 3.47026i 0.0740489 0.134571i
\(666\) 1.52513 + 1.10807i 0.0590977 + 0.0429370i
\(667\) −13.4922 + 18.5704i −0.522421 + 0.719050i
\(668\) −2.13615 + 10.0498i −0.0826502 + 0.388838i
\(669\) −1.53520 + 14.6064i −0.0593542 + 0.564718i
\(670\) 4.38660 22.9470i 0.169469 0.886519i
\(671\) 32.4398 6.89530i 1.25233 0.266190i
\(672\) −0.0873650 + 0.196225i −0.00337018 + 0.00756955i
\(673\) −21.4009 19.2694i −0.824943 0.742782i 0.144129 0.989559i \(-0.453962\pi\)
−0.969072 + 0.246777i \(0.920629\pi\)
\(674\) 3.06360 + 9.42879i 0.118005 + 0.363184i
\(675\) 4.94693 0.726578i 0.190407 0.0279660i
\(676\) 0.0881830 0.152737i 0.00339165 0.00587451i
\(677\) −11.4130 + 6.58930i −0.438638 + 0.253247i −0.703020 0.711171i \(-0.748165\pi\)
0.264382 + 0.964418i \(0.414832\pi\)
\(678\) 14.7170 + 4.78184i 0.565203 + 0.183646i
\(679\) −0.899060 + 0.400287i −0.0345027 + 0.0153616i
\(680\) 2.31651 0.805685i 0.0888339 0.0308966i
\(681\) 28.8220 1.10446
\(682\) −19.0341 5.79288i −0.728852 0.221821i
\(683\) 21.4210i 0.819653i −0.912163 0.409827i \(-0.865589\pi\)
0.912163 0.409827i \(-0.134411\pi\)
\(684\) 6.67185 4.84738i 0.255105 0.185344i
\(685\) −0.414321 3.28995i −0.0158304 0.125703i
\(686\) 0.926192 2.85053i 0.0353622 0.108834i
\(687\) 3.80877 2.19899i 0.145314 0.0838969i
\(688\) −2.52537 1.45802i −0.0962789 0.0555866i
\(689\) 16.3325 + 18.1391i 0.622219 + 0.691044i
\(690\) −11.6045 + 0.238576i −0.441774 + 0.00908243i
\(691\) −0.165499 + 0.183805i −0.00629587 + 0.00699227i −0.746285 0.665627i \(-0.768164\pi\)
0.739989 + 0.672619i \(0.234831\pi\)
\(692\) 5.19761 11.6740i 0.197583 0.443779i
\(693\) −0.159584 0.750784i −0.00606209 0.0285199i
\(694\) 3.24602 + 30.8838i 0.123217 + 1.17233i
\(695\) 12.5395 29.7980i 0.475651 1.13030i
\(696\) −4.32551 0.919415i −0.163958 0.0348504i
\(697\) −1.11482 + 1.53442i −0.0422268 + 0.0581202i
\(698\) 18.0560 24.8519i 0.683429 0.940660i
\(699\) 14.8775 + 3.16232i 0.562720 + 0.119610i
\(700\) −0.826981 0.685219i −0.0312569 0.0258989i
\(701\) 1.56637 + 14.9030i 0.0591609 + 0.562879i 0.983449 + 0.181184i \(0.0579929\pi\)
−0.924288 + 0.381695i \(0.875340\pi\)
\(702\) −0.744534 3.50276i −0.0281006 0.132203i
\(703\) −6.32341 + 14.2026i −0.238492 + 0.535662i
\(704\) −2.39110 + 2.65558i −0.0901178 + 0.100086i
\(705\) −0.00142959 0.0695359i −5.38414e−5 0.00261887i
\(706\) −6.38765 7.09421i −0.240402 0.266994i
\(707\) −2.69628 1.55670i −0.101404 0.0585457i
\(708\) −3.74408 + 2.16165i −0.140711 + 0.0812397i
\(709\) −4.44802 + 13.6896i −0.167049 + 0.514123i −0.999181 0.0404534i \(-0.987120\pi\)
0.832133 + 0.554577i \(0.187120\pi\)
\(710\) −3.17718 25.2287i −0.119237 0.946815i
\(711\) 0.0834576 0.0606355i 0.00312990 0.00227401i
\(712\) 4.46979i 0.167512i
\(713\) −21.1118 + 19.7372i −0.790643 + 0.739165i
\(714\) 0.235597 0.00881698
\(715\) −9.39967 27.0259i −0.351528 1.01071i
\(716\) 11.8129 5.25943i 0.441468 0.196554i
\(717\) 6.90599 + 2.24389i 0.257909 + 0.0837997i
\(718\) 18.0151 10.4010i 0.672316 0.388162i
\(719\) 7.63713 13.2279i 0.284817 0.493317i −0.687748 0.725950i \(-0.741401\pi\)
0.972565 + 0.232632i \(0.0747339\pi\)
\(720\) −0.951287 2.02362i −0.0354524 0.0754160i
\(721\) −0.493773 1.51968i −0.0183891 0.0565957i
\(722\) 36.4220 + 32.7946i 1.35549 + 1.22049i
\(723\) 2.93405 6.58998i 0.109118 0.245084i
\(724\) −21.3961 + 4.54788i −0.795179 + 0.169021i
\(725\) 10.2590 19.5866i 0.381010 0.727430i
\(726\) 0.184958 1.75975i 0.00686442 0.0653106i
\(727\) −0.317720 + 1.49475i −0.0117836 + 0.0554374i −0.983647 0.180110i \(-0.942355\pi\)
0.971863 + 0.235547i \(0.0756881\pi\)
\(728\) −0.452115 + 0.622282i −0.0167565 + 0.0230633i
\(729\) 0.809017 + 0.587785i 0.0299636 + 0.0217698i
\(730\) −21.6104 11.8913i −0.799837 0.440118i
\(731\) −0.334329 + 3.18093i −0.0123656 + 0.117651i
\(732\) 9.23001 0.970113i 0.341151 0.0358564i
\(733\) 3.63091 + 17.0821i 0.134111 + 0.630942i 0.992934 + 0.118669i \(0.0378629\pi\)
−0.858823 + 0.512272i \(0.828804\pi\)
\(734\) −28.3314 12.6139i −1.04573 0.465589i
\(735\) 8.04980 + 13.3034i 0.296921 + 0.490705i
\(736\) 1.60404 + 4.93671i 0.0591255 + 0.181970i
\(737\) 27.7456 24.9822i 1.02202 0.920232i
\(738\) 1.49752 + 0.864592i 0.0551244 + 0.0318261i
\(739\) 14.9501 + 25.8943i 0.549948 + 0.952537i 0.998277 + 0.0586689i \(0.0186856\pi\)
−0.448330 + 0.893868i \(0.647981\pi\)
\(740\) 3.46051 + 2.40711i 0.127211 + 0.0884870i
\(741\) 26.9789 12.0118i 0.991095 0.441264i
\(742\) 0.860557 + 1.18446i 0.0315920 + 0.0434827i
\(743\) 3.75498i 0.137757i −0.997625 0.0688785i \(-0.978058\pi\)
0.997625 0.0688785i \(-0.0219421\pi\)
\(744\) −5.12791 2.16899i −0.187998 0.0795191i
\(745\) −26.3949 7.98026i −0.967035 0.292374i
\(746\) 12.7201 9.24173i 0.465718 0.338364i
\(747\) 4.92316 + 11.0576i 0.180129 + 0.404576i
\(748\) 3.72767 + 1.21119i 0.136297 + 0.0442856i
\(749\) 1.52458 + 2.64066i 0.0557071 + 0.0964875i
\(750\) 11.0259 1.85170i 0.402610 0.0676146i
\(751\) 25.8024 + 28.6565i 0.941544 + 1.04569i 0.998879 + 0.0473357i \(0.0150731\pi\)
−0.0573349 + 0.998355i \(0.518260\pi\)
\(752\) −0.0295816 + 0.00961166i −0.00107873 + 0.000350501i
\(753\) −12.8730 11.5909i −0.469118 0.422395i
\(754\) −14.4667 6.44098i −0.526845 0.234567i
\(755\) −29.6221 2.49901i −1.07806 0.0909482i
\(756\) −0.0224522 0.213618i −0.000816579 0.00776923i
\(757\) −40.3686 4.24291i −1.46722 0.154211i −0.663035 0.748588i \(-0.730732\pi\)
−0.804187 + 0.594377i \(0.797399\pi\)
\(758\) 6.16529 29.0054i 0.223933 1.05352i
\(759\) −15.0064 10.9028i −0.544696 0.395745i
\(760\) 14.6928 11.1434i 0.532963 0.404215i
\(761\) −7.34708 1.56167i −0.266331 0.0566105i 0.0728103 0.997346i \(-0.476803\pi\)
−0.339142 + 0.940735i \(0.610137\pi\)
\(762\) −8.88540 0.933893i −0.321884 0.0338314i
\(763\) −1.29254 + 0.135852i −0.0467933 + 0.00491817i
\(764\) −12.7618 + 2.71261i −0.461706 + 0.0981387i
\(765\) −1.60331 + 1.85600i −0.0579678 + 0.0671037i
\(766\) 3.94283 4.37896i 0.142460 0.158218i
\(767\) −14.7240 + 4.78413i −0.531654 + 0.172745i
\(768\) −0.743145 + 0.669131i −0.0268159 + 0.0241452i
\(769\) −8.27437 + 14.3316i −0.298381 + 0.516812i −0.975766 0.218818i \(-0.929780\pi\)
0.677384 + 0.735629i \(0.263113\pi\)
\(770\) −0.391272 1.67111i −0.0141005 0.0602228i
\(771\) 2.81322 8.65820i 0.101316 0.311817i
\(772\) 0.680089 + 1.52750i 0.0244769 + 0.0549761i
\(773\) 7.05747 + 9.71378i 0.253840 + 0.349380i 0.916851 0.399229i \(-0.130722\pi\)
−0.663012 + 0.748609i \(0.730722\pi\)
\(774\) 2.91605 0.104815
\(775\) 17.3573 21.7652i 0.623494 0.781828i
\(776\) −4.58178 −0.164476
\(777\) 0.238009 + 0.327591i 0.00853851 + 0.0117523i
\(778\) 5.72444 + 12.8573i 0.205231 + 0.460957i
\(779\) −4.40669 + 13.5624i −0.157886 + 0.485923i
\(780\) −1.82547 7.79653i −0.0653623 0.279160i
\(781\) 20.3181 35.1919i 0.727037 1.25927i
\(782\) 4.23106 3.80967i 0.151303 0.136233i
\(783\) 4.20571 1.36652i 0.150300 0.0488354i
\(784\) 4.65304 5.16773i 0.166180 0.184562i
\(785\) −22.5472 + 26.1007i −0.804743 + 0.931573i
\(786\) −6.71888 + 1.42814i −0.239654 + 0.0509401i
\(787\) −17.2030 + 1.80811i −0.613222 + 0.0644523i −0.406048 0.913852i \(-0.633093\pi\)
−0.207174 + 0.978304i \(0.566427\pi\)
\(788\) 9.40708 + 0.988724i 0.335113 + 0.0352218i
\(789\) 8.07621 + 1.71665i 0.287521 + 0.0611144i
\(790\) 0.183790 0.139392i 0.00653897 0.00495935i
\(791\) 2.68903 + 1.95369i 0.0956107 + 0.0694653i
\(792\) 0.742959 3.49535i 0.0263999 0.124202i
\(793\) 33.0528 + 3.47399i 1.17374 + 0.123365i
\(794\) −1.52727 14.5310i −0.0542007 0.515685i
\(795\) −15.1873 1.28125i −0.538639 0.0454412i
\(796\) 11.4093 + 5.07975i 0.404392 + 0.180047i
\(797\) −34.1227 30.7242i −1.20869 1.08831i −0.993744 0.111679i \(-0.964377\pi\)
−0.214942 0.976627i \(-0.568956\pi\)
\(798\) 1.68469 0.547388i 0.0596373 0.0193773i
\(799\) 0.0228282 + 0.0253533i 0.000807603 + 0.000896934i
\(800\) −2.21970 4.48028i −0.0784783 0.158402i
\(801\) −2.23489 3.87095i −0.0789661 0.136773i
\(802\) −21.5422 6.99950i −0.760683 0.247161i
\(803\) −16.0330 36.0106i −0.565791 1.27079i
\(804\) 8.45263 6.14119i 0.298101 0.216583i
\(805\) −2.38642 0.721513i −0.0841103 0.0254300i
\(806\) −16.3469 11.4154i −0.575796 0.402089i
\(807\) 7.38220i 0.259866i
\(808\) −8.51979 11.7265i −0.299725 0.412536i
\(809\) 23.6509 10.5300i 0.831520 0.370217i 0.0535868 0.998563i \(-0.482935\pi\)
0.777934 + 0.628346i \(0.216268\pi\)
\(810\) 1.83565 + 1.27687i 0.0644982 + 0.0448645i
\(811\) −7.62357 13.2044i −0.267700 0.463670i 0.700568 0.713586i \(-0.252930\pi\)
−0.968267 + 0.249916i \(0.919597\pi\)
\(812\) −0.822598 0.474927i −0.0288675 0.0166667i
\(813\) 8.21176 7.39391i 0.287999 0.259316i
\(814\) 2.08170 + 6.40681i 0.0729635 + 0.224559i
\(815\) −2.05614 3.39806i −0.0720234 0.119029i
\(816\) 1.00202 + 0.446126i 0.0350776 + 0.0156175i
\(817\) 4.99991 + 23.5227i 0.174925 + 0.822956i
\(818\) −4.98884 + 0.524348i −0.174431 + 0.0183334i
\(819\) 0.0804016 0.764970i 0.00280946 0.0267302i
\(820\) 3.38758 + 1.86405i 0.118299 + 0.0650954i
\(821\) −13.1972 9.58834i −0.460586 0.334635i 0.333175 0.942865i \(-0.391880\pi\)
−0.793761 + 0.608230i \(0.791880\pi\)
\(822\) 0.871645 1.19972i 0.0304021 0.0418449i
\(823\) −1.20494 + 5.66878i −0.0420015 + 0.197601i −0.994146 0.108048i \(-0.965540\pi\)
0.952144 + 0.305649i \(0.0988734\pi\)
\(824\) 0.777598 7.39835i 0.0270889 0.257734i
\(825\) 15.8275 + 8.29007i 0.551044 + 0.288623i
\(826\) −0.908330 + 0.193072i −0.0316048 + 0.00671782i
\(827\) −15.6033 + 35.0456i −0.542580 + 1.21865i 0.409361 + 0.912372i \(0.365751\pi\)
−0.951941 + 0.306281i \(0.900915\pi\)
\(828\) −3.85749 3.47330i −0.134057 0.120706i
\(829\) −7.25415 22.3260i −0.251947 0.775414i −0.994416 0.105533i \(-0.966345\pi\)
0.742469 0.669881i \(-0.233655\pi\)
\(830\) 11.5144 + 24.4940i 0.399671 + 0.850200i
\(831\) −10.1983 + 17.6639i −0.353774 + 0.612754i
\(832\) −3.10125 + 1.79051i −0.107516 + 0.0620746i
\(833\) −7.25399 2.35697i −0.251336 0.0816640i
\(834\) 13.2080 5.88057i 0.457355 0.203627i
\(835\) −7.54699 21.6991i −0.261174 0.750928i
\(836\) 29.4696 1.01923
\(837\) 5.52540 0.685555i 0.190986 0.0236962i
\(838\) 11.5076i 0.397523i
\(839\) 36.5648 26.5659i 1.26236 0.917156i 0.263486 0.964663i \(-0.415128\pi\)
0.998871 + 0.0475077i \(0.0151279\pi\)
\(840\) −0.0600123 0.476532i −0.00207062 0.0164419i
\(841\) −2.91855 + 8.98239i −0.100640 + 0.309738i
\(842\) −23.4510 + 13.5394i −0.808173 + 0.466599i
\(843\) −0.237041 0.136855i −0.00816411 0.00471355i
\(844\) −4.13583 4.59331i −0.142361 0.158108i
\(845\) 0.00810606 + 0.394283i 0.000278857 + 0.0135637i
\(846\) 0.0208126 0.0231148i 0.000715553 0.000794702i
\(847\) 0.154588 0.347210i 0.00531170 0.0119303i
\(848\) 1.41715 + 6.66716i 0.0486651 + 0.228951i
\(849\) −1.80895 17.2110i −0.0620829 0.590680i
\(850\) −3.49905 + 4.22295i −0.120016 + 0.144846i
\(851\) 9.57162 + 2.03451i 0.328111 + 0.0697422i
\(852\) 6.68413 9.19992i 0.228995 0.315184i
\(853\) 2.93135 4.03466i 0.100368 0.138144i −0.755879 0.654711i \(-0.772790\pi\)
0.856247 + 0.516567i \(0.172790\pi\)
\(854\) 1.94992 + 0.414468i 0.0667249 + 0.0141828i
\(855\) −7.15259 + 16.9969i −0.244613 + 0.581281i
\(856\) 1.48386 + 14.1179i 0.0507171 + 0.482541i
\(857\) 1.83047 + 8.61167i 0.0625275 + 0.294169i 0.998290 0.0584632i \(-0.0186200\pi\)
−0.935762 + 0.352632i \(0.885287\pi\)
\(858\) 5.20481 11.6902i 0.177689 0.399097i
\(859\) 2.94448 3.27017i 0.100464 0.111577i −0.690816 0.723031i \(-0.742748\pi\)
0.791280 + 0.611454i \(0.209415\pi\)
\(860\) 6.51910 0.134026i 0.222300 0.00457025i
\(861\) 0.248529 + 0.276019i 0.00846983 + 0.00940670i
\(862\) 29.5514 + 17.0615i 1.00653 + 0.581118i
\(863\) −1.24160 + 0.716839i −0.0422646 + 0.0244015i −0.520983 0.853567i \(-0.674435\pi\)
0.478719 + 0.877968i \(0.341101\pi\)
\(864\) 0.309017 0.951057i 0.0105130 0.0323556i
\(865\) 3.57031 + 28.3503i 0.121394 + 0.963940i
\(866\) 30.9110 22.4582i 1.05040 0.763159i
\(867\) 15.7969i 0.536492i
\(868\) −0.903574 0.783453i −0.0306693 0.0265921i
\(869\) 0.368633 0.0125050
\(870\) 9.33946 3.24828i 0.316637 0.110127i
\(871\) 34.1798 15.2178i 1.15814 0.515637i
\(872\) −5.75457 1.86977i −0.194874 0.0633185i
\(873\) 3.96794 2.29089i 0.134294 0.0775348i
\(874\) 21.4038 37.0724i 0.723993 1.25399i
\(875\) 2.37531 + 0.353580i 0.0803001 + 0.0119532i
\(876\) −3.40876 10.4911i −0.115171 0.354461i
\(877\) −15.3108 13.7859i −0.517009 0.465517i 0.368839 0.929493i \(-0.379755\pi\)
−0.885847 + 0.463977i \(0.846422\pi\)
\(878\) 0.237842 0.534202i 0.00802678 0.0180284i
\(879\) −20.7648 + 4.41369i −0.700378 + 0.148870i
\(880\) 1.50030 7.84833i 0.0505753 0.264567i
\(881\) −1.90580 + 18.1325i −0.0642081 + 0.610899i 0.914349 + 0.404926i \(0.132703\pi\)
−0.978558 + 0.205973i \(0.933964\pi\)
\(882\) −1.44579 + 6.80190i −0.0486823 + 0.229032i
\(883\) −31.6323 + 43.5382i −1.06451 + 1.46518i −0.189004 + 0.981976i \(0.560526\pi\)
−0.875510 + 0.483200i \(0.839474\pi\)
\(884\) 3.17766 + 2.30871i 0.106876 + 0.0776502i
\(885\) 4.66049 8.46961i 0.156661 0.284703i
\(886\) −1.49383 + 14.2128i −0.0501861 + 0.477489i
\(887\) −35.2118 + 3.70090i −1.18229 + 0.124264i −0.675206 0.737629i \(-0.735945\pi\)
−0.507089 + 0.861894i \(0.669279\pi\)
\(888\) 0.391948 + 1.84397i 0.0131529 + 0.0618796i
\(889\) −1.75314 0.780549i −0.0587985 0.0261788i
\(890\) −5.17423 8.55116i −0.173441 0.286636i
\(891\) 1.10425 + 3.39854i 0.0369939 + 0.113855i
\(892\) −10.9145 + 9.82745i −0.365444 + 0.329047i
\(893\) 0.222144 + 0.128255i 0.00743377 + 0.00429189i
\(894\) −6.16594 10.6797i −0.206220 0.357183i
\(895\) −16.5109 + 23.7364i −0.551898 + 0.793421i
\(896\) −0.196225 + 0.0873650i −0.00655542 + 0.00291866i
\(897\) −10.9259 15.0382i −0.364804 0.502110i
\(898\) 24.2731i 0.810003i
\(899\) 11.9094 21.5495i 0.397200 0.718718i
\(900\) 4.16246 + 2.77019i 0.138749 + 0.0923396i
\(901\) 6.04838 4.39440i 0.201501 0.146399i
\(902\) 2.51328 + 5.64492i 0.0836830 + 0.187955i
\(903\) 0.595697 + 0.193554i 0.0198235 + 0.00644106i
\(904\) 7.73718 + 13.4012i 0.257335 + 0.445717i
\(905\) 35.6683 33.4687i 1.18565 1.11254i
\(906\) −8.89573 9.87971i −0.295541 0.328231i
\(907\) −27.8237 + 9.04047i −0.923871 + 0.300184i −0.732054 0.681247i \(-0.761438\pi\)
−0.191817 + 0.981431i \(0.561438\pi\)
\(908\) 21.4189 + 19.2857i 0.710812 + 0.640018i
\(909\) 13.2416 + 5.89554i 0.439196 + 0.195543i
\(910\) 0.144586 1.71386i 0.00479298 0.0568139i
\(911\) −0.612715 5.82960i −0.0203002 0.193143i 0.979672 0.200606i \(-0.0642911\pi\)
−0.999972 + 0.00746292i \(0.997624\pi\)
\(912\) 8.20168 + 0.862032i 0.271585 + 0.0285447i
\(913\) −8.99281 + 42.3078i −0.297619 + 1.40018i
\(914\) −33.0000 23.9759i −1.09154 0.793053i
\(915\) −16.5349 + 12.5406i −0.546629 + 0.414580i
\(916\) 4.30188 + 0.914393i 0.142138 + 0.0302124i
\(917\) −1.46734 0.154224i −0.0484559 0.00509292i
\(918\) −1.09083 + 0.114651i −0.0360029 + 0.00378406i
\(919\) 13.8025 2.93380i 0.455301 0.0967772i 0.0254481 0.999676i \(-0.491899\pi\)
0.429853 + 0.902899i \(0.358565\pi\)
\(920\) −8.78343 7.58760i −0.289581 0.250156i
\(921\) 17.2876 19.1999i 0.569647 0.632657i
\(922\) 25.8810 8.40924i 0.852345 0.276944i
\(923\) 30.2625 27.2485i 0.996103 0.896895i
\(924\) 0.383778 0.664724i 0.0126254 0.0218678i
\(925\) −9.40677 0.599150i −0.309293 0.0196999i
\(926\) 9.55921 29.4202i 0.314135 0.966808i
\(927\) 3.02576 + 6.79596i 0.0993789 + 0.223209i
\(928\) −2.59927 3.57759i −0.0853253 0.117440i
\(929\) −5.78053 −0.189653 −0.0948266 0.995494i \(-0.530230\pi\)
−0.0948266 + 0.995494i \(0.530230\pi\)
\(930\) 12.3210 1.78658i 0.404023 0.0585842i
\(931\) −57.3475 −1.87949
\(932\) 8.94016 + 12.3051i 0.292845 + 0.403066i
\(933\) −12.7809 28.7064i −0.418429 0.939807i
\(934\) −1.55556 + 4.78751i −0.0508994 + 0.156652i
\(935\) −8.53348 + 1.99802i −0.279075 + 0.0653422i
\(936\) 1.79051 3.10125i 0.0585245 0.101367i
\(937\) −9.92033 + 8.93231i −0.324083 + 0.291806i −0.815072 0.579360i \(-0.803302\pi\)
0.490988 + 0.871166i \(0.336636\pi\)
\(938\) 2.13435 0.693491i 0.0696889 0.0226433i
\(939\) −18.9118 + 21.0037i −0.617165 + 0.685431i
\(940\) 0.0454662 0.0526318i 0.00148294 0.00171666i
\(941\) −41.1050 + 8.73714i −1.33998 + 0.284823i −0.821473 0.570248i \(-0.806847\pi\)
−0.518512 + 0.855070i \(0.673514\pi\)
\(942\) −15.3403 + 1.61233i −0.499814 + 0.0525325i
\(943\) 8.92662 + 0.938226i 0.290691 + 0.0305528i
\(944\) −4.22882 0.898864i −0.137636 0.0292555i
\(945\) 0.290238 + 0.382683i 0.00944146 + 0.0124487i
\(946\) 8.43021 + 6.12490i 0.274090 + 0.199138i
\(947\) −6.41485 + 30.1795i −0.208455 + 0.980701i 0.742135 + 0.670251i \(0.233813\pi\)
−0.950589 + 0.310451i \(0.899520\pi\)
\(948\) 0.102594 + 0.0107831i 0.00333210 + 0.000350218i
\(949\) −4.12909 39.2857i −0.134036 1.27527i
\(950\) −15.2091 + 38.3269i −0.493448 + 1.24349i
\(951\) −20.4256 9.09408i −0.662347 0.294896i
\(952\) 0.175082 + 0.157645i 0.00567445 + 0.00510930i
\(953\) −32.9053 + 10.6916i −1.06591 + 0.346335i −0.788893 0.614531i \(-0.789345\pi\)
−0.277015 + 0.960865i \(0.589345\pi\)
\(954\) −4.56087 5.06536i −0.147664 0.163997i
\(955\) 21.2745 19.9626i 0.688427 0.645974i
\(956\) 3.63069 + 6.28855i 0.117425 + 0.203386i
\(957\) 15.0288 + 4.88316i 0.485813 + 0.157850i
\(958\) 7.49262 + 16.8287i 0.242076 + 0.543711i
\(959\) 0.257693 0.187225i 0.00832135 0.00604582i
\(960\) 0.647125 2.14038i 0.0208859 0.0690805i
\(961\) 19.8661 23.7979i 0.640841 0.767674i
\(962\) 6.75080i 0.217655i
\(963\) −8.34403 11.4846i −0.268883 0.370085i
\(964\) 6.58998 2.93405i 0.212249 0.0944994i
\(965\) −3.06932 2.13500i −0.0988050 0.0687281i
\(966\) −0.557476 0.965576i −0.0179365 0.0310669i
\(967\) 43.0732 + 24.8683i 1.38514 + 0.799711i 0.992763 0.120093i \(-0.0383191\pi\)
0.392378 + 0.919804i \(0.371652\pi\)
\(968\) 1.31496 1.18399i 0.0422643 0.0380549i
\(969\) −2.79522 8.60279i −0.0897953 0.276362i
\(970\) 8.76541 5.30387i 0.281440 0.170297i
\(971\) 38.9499 + 17.3416i 1.24996 + 0.556519i 0.921640 0.388047i \(-0.126850\pi\)
0.328322 + 0.944566i \(0.393517\pi\)
\(972\) 0.207912 + 0.978148i 0.00666877 + 0.0313741i
\(973\) 3.08848 0.324612i 0.0990121 0.0104066i
\(974\) 3.67920 35.0053i 0.117889 1.12164i
\(975\) 12.5176 + 12.8024i 0.400883 + 0.410004i
\(976\) 7.50837 + 5.45515i 0.240337 + 0.174615i
\(977\) −6.47947 + 8.91823i −0.207297 + 0.285319i −0.899988 0.435915i \(-0.856425\pi\)
0.692691 + 0.721234i \(0.256425\pi\)
\(978\) 0.369294 1.73739i 0.0118087 0.0555556i
\(979\) 1.66958 15.8850i 0.0533600 0.507687i
\(980\) −2.91957 + 15.2728i −0.0932624 + 0.487870i
\(981\) 5.91849 1.25801i 0.188963 0.0401653i
\(982\) 16.3628 36.7514i 0.522157 1.17278i
\(983\) 20.8110 + 18.7383i 0.663769 + 0.597660i 0.930580 0.366089i \(-0.119303\pi\)
−0.266811 + 0.963749i \(0.585970\pi\)
\(984\) 0.534347 + 1.64455i 0.0170344 + 0.0524264i
\(985\) −19.1412 + 8.99812i −0.609891 + 0.286704i
\(986\) −2.42520 + 4.20057i −0.0772341 + 0.133773i
\(987\) 0.00578590 0.00334049i 0.000184167 0.000106329i
\(988\) 28.0867 + 9.12592i 0.893556 + 0.290334i
\(989\) 13.8279 6.15658i 0.439702 0.195768i
\(990\) 2.62486 + 7.54701i 0.0834237 + 0.239860i
\(991\) 52.5885 1.67053 0.835265 0.549848i \(-0.185314\pi\)
0.835265 + 0.549848i \(0.185314\pi\)
\(992\) −2.35944 5.04312i −0.0749124 0.160119i
\(993\) 24.2089i 0.768245i
\(994\) 1.97610 1.43572i 0.0626780 0.0455382i
\(995\) −27.7075 + 3.48935i −0.878386 + 0.110620i
\(996\) −3.74035 + 11.5116i −0.118518 + 0.364760i
\(997\) 20.9983 12.1234i 0.665022 0.383950i −0.129166 0.991623i \(-0.541230\pi\)
0.794188 + 0.607673i \(0.207897\pi\)
\(998\) −11.2418 6.49043i −0.355851 0.205451i
\(999\) −1.26142 1.40095i −0.0399096 0.0443242i
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.bn.a.49.3 yes 112
5.4 even 2 inner 930.2.bn.a.49.10 yes 112
31.19 even 15 inner 930.2.bn.a.19.10 yes 112
155.19 even 30 inner 930.2.bn.a.19.3 112
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bn.a.19.3 112 155.19 even 30 inner
930.2.bn.a.19.10 yes 112 31.19 even 15 inner
930.2.bn.a.49.3 yes 112 1.1 even 1 trivial
930.2.bn.a.49.10 yes 112 5.4 even 2 inner