Properties

Label 310.2.w.a.53.6
Level $310$
Weight $2$
Character 310.53
Analytic conductor $2.475$
Analytic rank $0$
Dimension $256$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [310,2,Mod(3,310)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(310, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([45, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("310.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 310 = 2 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 310.w (of order \(60\), degree \(16\), 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: \(2.47536246266\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(16\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 53.6
Character \(\chi\) \(=\) 310.53
Dual form 310.2.w.a.117.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.453990 - 0.891007i) q^{2} +(0.865591 - 0.562122i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(-0.633251 + 2.14453i) q^{5} +(-0.893824 - 0.516050i) q^{6} +(-0.913031 + 2.37853i) q^{7} +(0.987688 + 0.156434i) q^{8} +(-0.786942 + 1.76750i) q^{9} +O(q^{10})\) \(q+(-0.453990 - 0.891007i) q^{2} +(0.865591 - 0.562122i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(-0.633251 + 2.14453i) q^{5} +(-0.893824 - 0.516050i) q^{6} +(-0.913031 + 2.37853i) q^{7} +(0.987688 + 0.156434i) q^{8} +(-0.786942 + 1.76750i) q^{9} +(2.19828 - 0.409364i) q^{10} +(1.21275 + 0.127465i) q^{11} +(-0.0540159 + 1.03068i) q^{12} +(0.164024 + 3.12976i) q^{13} +(2.53379 - 0.266312i) q^{14} +(0.657348 + 2.21225i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(-1.30160 + 1.60734i) q^{17} +(1.93212 - 0.101258i) q^{18} +(1.02943 - 0.926904i) q^{19} +(-1.36274 - 1.77283i) q^{20} +(0.546710 + 2.57207i) q^{21} +(-0.437005 - 1.13844i) q^{22} +(0.488822 - 3.08630i) q^{23} +(0.942870 - 0.419793i) q^{24} +(-4.19799 - 2.71605i) q^{25} +(2.71417 - 1.56703i) q^{26} +(0.796748 + 5.03047i) q^{27} +(-1.38760 - 2.13672i) q^{28} +(1.86983 - 5.75474i) q^{29} +(1.67270 - 1.59004i) q^{30} +(5.43852 + 1.19269i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(1.12140 - 0.571381i) q^{33} +(2.02306 + 0.430015i) q^{34} +(-4.52264 - 3.46422i) q^{35} +(-0.967385 - 1.67556i) q^{36} +(-1.30163 + 0.348770i) q^{37} +(-1.29323 - 0.496424i) q^{38} +(1.90128 + 2.61689i) q^{39} +(-0.960932 + 2.01906i) q^{40} +(6.62433 - 1.40804i) q^{41} +(2.04353 - 1.65482i) q^{42} +(-5.33448 - 0.279568i) q^{43} +(-0.815959 + 0.906214i) q^{44} +(-3.29212 - 2.80689i) q^{45} +(-2.97183 + 0.965607i) q^{46} +(5.82891 + 2.96998i) q^{47} +(-0.802092 - 0.649521i) q^{48} +(0.378248 + 0.340576i) q^{49} +(-0.514168 + 4.97349i) q^{50} +(-0.223132 + 2.12296i) q^{51} +(-2.62844 - 1.70693i) q^{52} +(-2.94893 + 1.13199i) q^{53} +(4.12046 - 2.99369i) q^{54} +(-1.04133 + 2.52006i) q^{55} +(-1.27387 + 2.20641i) q^{56} +(0.370034 - 1.38099i) q^{57} +(-5.97639 + 0.946568i) q^{58} +(1.93954 - 9.12483i) q^{59} +(-2.17613 - 0.768520i) q^{60} +10.7138i q^{61} +(-1.40634 - 5.38723i) q^{62} +(-3.48555 - 3.48555i) q^{63} +(0.951057 + 0.309017i) q^{64} +(-6.81572 - 1.63017i) q^{65} +(-1.01821 - 0.739771i) q^{66} +(0.419756 + 0.112473i) q^{67} +(-0.535305 - 1.99779i) q^{68} +(-1.31176 - 2.94625i) q^{69} +(-1.03341 + 5.60242i) q^{70} +(4.32449 + 1.92539i) q^{71} +(-1.05375 + 1.62264i) q^{72} +(-8.51630 - 10.5168i) q^{73} +(0.901683 + 1.00142i) q^{74} +(-5.16049 + 0.00879403i) q^{75} +(0.144797 + 1.37765i) q^{76} +(-1.41046 + 2.76818i) q^{77} +(1.46850 - 2.88210i) q^{78} +(0.919212 + 8.74571i) q^{79} +(2.23525 - 0.0604380i) q^{80} +(-0.366450 - 0.406984i) q^{81} +(-4.26196 - 5.26308i) q^{82} +(0.842540 - 1.29740i) q^{83} +(-2.40219 - 1.06953i) q^{84} +(-2.62275 - 3.80916i) q^{85} +(2.17270 + 4.87997i) q^{86} +(-1.61636 - 6.03232i) q^{87} +(1.17788 + 0.315612i) q^{88} +(-8.14235 - 5.91577i) q^{89} +(-1.00637 + 4.20760i) q^{90} +(-7.59398 - 2.46743i) q^{91} +(2.20955 + 2.20955i) q^{92} +(5.37797 - 2.02473i) q^{93} -6.54194i q^{94} +(1.33588 + 2.79461i) q^{95} +(-0.214586 + 1.00955i) q^{96} +(-16.5501 + 2.62128i) q^{97} +(0.131735 - 0.491640i) q^{98} +(-1.17966 + 2.04323i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256 q - 24 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 256 q - 24 q^{7} - 8 q^{10} + 64 q^{16} + 4 q^{20} + 32 q^{21} - 52 q^{22} + 20 q^{23} + 20 q^{25} - 180 q^{27} + 4 q^{28} + 8 q^{31} - 44 q^{33} + 48 q^{35} + 128 q^{36} - 108 q^{37} - 52 q^{38} - 32 q^{41} + 8 q^{42} - 48 q^{43} - 28 q^{45} + 40 q^{46} + 20 q^{47} + 20 q^{48} - 48 q^{50} + 16 q^{51} + 28 q^{53} - 80 q^{55} - 24 q^{57} - 20 q^{60} + 20 q^{62} - 256 q^{63} - 8 q^{65} - 56 q^{66} + 4 q^{67} - 40 q^{70} + 88 q^{71} + 32 q^{73} - 32 q^{75} - 96 q^{76} + 20 q^{77} - 112 q^{78} + 48 q^{81} + 8 q^{82} - 108 q^{83} - 120 q^{85} - 24 q^{86} + 8 q^{87} - 108 q^{88} - 32 q^{90} - 80 q^{91} - 260 q^{93} + 64 q^{95} - 88 q^{97} - 112 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/310\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(251\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{17}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.453990 0.891007i −0.321020 0.630037i
\(3\) 0.865591 0.562122i 0.499749 0.324541i −0.270029 0.962852i \(-0.587033\pi\)
0.769778 + 0.638311i \(0.220367\pi\)
\(4\) −0.587785 + 0.809017i −0.293893 + 0.404508i
\(5\) −0.633251 + 2.14453i −0.283198 + 0.959061i
\(6\) −0.893824 0.516050i −0.364902 0.210676i
\(7\) −0.913031 + 2.37853i −0.345093 + 0.898999i 0.645697 + 0.763594i \(0.276567\pi\)
−0.990790 + 0.135405i \(0.956766\pi\)
\(8\) 0.987688 + 0.156434i 0.349201 + 0.0553079i
\(9\) −0.786942 + 1.76750i −0.262314 + 0.589167i
\(10\) 2.19828 0.409364i 0.695156 0.129452i
\(11\) 1.21275 + 0.127465i 0.365658 + 0.0384322i 0.285576 0.958356i \(-0.407815\pi\)
0.0800821 + 0.996788i \(0.474482\pi\)
\(12\) −0.0540159 + 1.03068i −0.0155930 + 0.297533i
\(13\) 0.164024 + 3.12976i 0.0454920 + 0.868039i 0.922128 + 0.386885i \(0.126449\pi\)
−0.876636 + 0.481154i \(0.840218\pi\)
\(14\) 2.53379 0.266312i 0.677184 0.0711749i
\(15\) 0.657348 + 2.21225i 0.169727 + 0.571200i
\(16\) −0.309017 0.951057i −0.0772542 0.237764i
\(17\) −1.30160 + 1.60734i −0.315684 + 0.389837i −0.910147 0.414286i \(-0.864031\pi\)
0.594463 + 0.804123i \(0.297365\pi\)
\(18\) 1.93212 0.101258i 0.455405 0.0238668i
\(19\) 1.02943 0.926904i 0.236168 0.212646i −0.542545 0.840026i \(-0.682539\pi\)
0.778713 + 0.627380i \(0.215873\pi\)
\(20\) −1.36274 1.77283i −0.304719 0.396417i
\(21\) 0.546710 + 2.57207i 0.119302 + 0.561271i
\(22\) −0.437005 1.13844i −0.0931698 0.242716i
\(23\) 0.488822 3.08630i 0.101926 0.643538i −0.882842 0.469669i \(-0.844373\pi\)
0.984769 0.173869i \(-0.0556268\pi\)
\(24\) 0.942870 0.419793i 0.192462 0.0856898i
\(25\) −4.19799 2.71605i −0.839597 0.543209i
\(26\) 2.71417 1.56703i 0.532293 0.307319i
\(27\) 0.796748 + 5.03047i 0.153334 + 0.968114i
\(28\) −1.38760 2.13672i −0.262232 0.403802i
\(29\) 1.86983 5.75474i 0.347218 1.06863i −0.613167 0.789953i \(-0.710105\pi\)
0.960385 0.278675i \(-0.0898952\pi\)
\(30\) 1.67270 1.59004i 0.305391 0.290300i
\(31\) 5.43852 + 1.19269i 0.976787 + 0.214213i
\(32\) −0.707107 + 0.707107i −0.125000 + 0.125000i
\(33\) 1.12140 0.571381i 0.195210 0.0994646i
\(34\) 2.02306 + 0.430015i 0.346953 + 0.0737470i
\(35\) −4.52264 3.46422i −0.764465 0.585561i
\(36\) −0.967385 1.67556i −0.161231 0.279260i
\(37\) −1.30163 + 0.348770i −0.213986 + 0.0573375i −0.364220 0.931313i \(-0.618664\pi\)
0.150233 + 0.988651i \(0.451998\pi\)
\(38\) −1.29323 0.496424i −0.209790 0.0805307i
\(39\) 1.90128 + 2.61689i 0.304449 + 0.419038i
\(40\) −0.960932 + 2.01906i −0.151937 + 0.319242i
\(41\) 6.62433 1.40804i 1.03455 0.219900i 0.340813 0.940131i \(-0.389298\pi\)
0.693734 + 0.720232i \(0.255964\pi\)
\(42\) 2.04353 1.65482i 0.315323 0.255344i
\(43\) −5.33448 0.279568i −0.813500 0.0426337i −0.358952 0.933356i \(-0.616866\pi\)
−0.454548 + 0.890722i \(0.650199\pi\)
\(44\) −0.815959 + 0.906214i −0.123010 + 0.136617i
\(45\) −3.29212 2.80689i −0.490760 0.418426i
\(46\) −2.97183 + 0.965607i −0.438173 + 0.142371i
\(47\) 5.82891 + 2.96998i 0.850234 + 0.433216i 0.824101 0.566443i \(-0.191681\pi\)
0.0261326 + 0.999658i \(0.491681\pi\)
\(48\) −0.802092 0.649521i −0.115772 0.0937503i
\(49\) 0.378248 + 0.340576i 0.0540355 + 0.0486537i
\(50\) −0.514168 + 4.97349i −0.0727143 + 0.703358i
\(51\) −0.223132 + 2.12296i −0.0312447 + 0.297273i
\(52\) −2.62844 1.70693i −0.364499 0.236708i
\(53\) −2.94893 + 1.13199i −0.405066 + 0.155490i −0.552366 0.833601i \(-0.686275\pi\)
0.147300 + 0.989092i \(0.452942\pi\)
\(54\) 4.12046 2.99369i 0.560724 0.407390i
\(55\) −1.04133 + 2.52006i −0.140413 + 0.339805i
\(56\) −1.27387 + 2.20641i −0.170229 + 0.294844i
\(57\) 0.370034 1.38099i 0.0490122 0.182916i
\(58\) −5.97639 + 0.946568i −0.784739 + 0.124290i
\(59\) 1.93954 9.12483i 0.252507 1.18795i −0.650899 0.759164i \(-0.725608\pi\)
0.903406 0.428787i \(-0.141059\pi\)
\(60\) −2.17613 0.768520i −0.280937 0.0992156i
\(61\) 10.7138i 1.37176i 0.727715 + 0.685880i \(0.240583\pi\)
−0.727715 + 0.685880i \(0.759417\pi\)
\(62\) −1.40634 5.38723i −0.178606 0.684178i
\(63\) −3.48555 3.48555i −0.439138 0.439138i
\(64\) 0.951057 + 0.309017i 0.118882 + 0.0386271i
\(65\) −6.81572 1.63017i −0.845386 0.202198i
\(66\) −1.01821 0.739771i −0.125333 0.0910596i
\(67\) 0.419756 + 0.112473i 0.0512813 + 0.0137408i 0.284369 0.958715i \(-0.408216\pi\)
−0.233087 + 0.972456i \(0.574883\pi\)
\(68\) −0.535305 1.99779i −0.0649153 0.242267i
\(69\) −1.31176 2.94625i −0.157917 0.354687i
\(70\) −1.03341 + 5.60242i −0.123516 + 0.669618i
\(71\) 4.32449 + 1.92539i 0.513223 + 0.228502i 0.646972 0.762514i \(-0.276035\pi\)
−0.133749 + 0.991015i \(0.542702\pi\)
\(72\) −1.05375 + 1.62264i −0.124186 + 0.191229i
\(73\) −8.51630 10.5168i −0.996758 1.23089i −0.972912 0.231177i \(-0.925742\pi\)
−0.0238460 0.999716i \(-0.507591\pi\)
\(74\) 0.901683 + 1.00142i 0.104819 + 0.116413i
\(75\) −5.16049 + 0.00879403i −0.595882 + 0.00101545i
\(76\) 0.144797 + 1.37765i 0.0166093 + 0.158027i
\(77\) −1.41046 + 2.76818i −0.160737 + 0.315464i
\(78\) 1.46850 2.88210i 0.166275 0.326333i
\(79\) 0.919212 + 8.74571i 0.103419 + 0.983970i 0.916016 + 0.401143i \(0.131387\pi\)
−0.812596 + 0.582827i \(0.801947\pi\)
\(80\) 2.23525 0.0604380i 0.249909 0.00675717i
\(81\) −0.366450 0.406984i −0.0407167 0.0452205i
\(82\) −4.26196 5.26308i −0.470655 0.581210i
\(83\) 0.842540 1.29740i 0.0924808 0.142408i −0.789402 0.613877i \(-0.789609\pi\)
0.881883 + 0.471469i \(0.156276\pi\)
\(84\) −2.40219 1.06953i −0.262101 0.116695i
\(85\) −2.62275 3.80916i −0.284477 0.413162i
\(86\) 2.17270 + 4.87997i 0.234289 + 0.526221i
\(87\) −1.61636 6.03232i −0.173292 0.646733i
\(88\) 1.17788 + 0.315612i 0.125562 + 0.0336444i
\(89\) −8.14235 5.91577i −0.863088 0.627070i 0.0656355 0.997844i \(-0.479093\pi\)
−0.928723 + 0.370774i \(0.879093\pi\)
\(90\) −1.00637 + 4.20760i −0.106080 + 0.443520i
\(91\) −7.59398 2.46743i −0.796065 0.258657i
\(92\) 2.20955 + 2.20955i 0.230361 + 0.230361i
\(93\) 5.37797 2.02473i 0.557670 0.209954i
\(94\) 6.54194i 0.674749i
\(95\) 1.33588 + 2.79461i 0.137059 + 0.286720i
\(96\) −0.214586 + 1.00955i −0.0219010 + 0.103036i
\(97\) −16.5501 + 2.62128i −1.68041 + 0.266150i −0.922440 0.386141i \(-0.873808\pi\)
−0.757968 + 0.652292i \(0.773808\pi\)
\(98\) 0.131735 0.491640i 0.0133072 0.0496631i
\(99\) −1.17966 + 2.04323i −0.118560 + 0.205352i
\(100\) 4.66484 1.79979i 0.466484 0.179979i
\(101\) 9.42695 6.84908i 0.938017 0.681509i −0.00992560 0.999951i \(-0.503159\pi\)
0.947942 + 0.318442i \(0.103159\pi\)
\(102\) 1.99287 0.764990i 0.197323 0.0757453i
\(103\) 11.7473 + 7.62879i 1.15750 + 0.751687i 0.972923 0.231131i \(-0.0742426\pi\)
0.184575 + 0.982819i \(0.440909\pi\)
\(104\) −0.327598 + 3.11689i −0.0321236 + 0.305636i
\(105\) −5.86207 0.456330i −0.572079 0.0445332i
\(106\) 2.34739 + 2.11360i 0.227999 + 0.205291i
\(107\) −5.17460 4.19031i −0.500247 0.405092i 0.345711 0.938341i \(-0.387638\pi\)
−0.845959 + 0.533249i \(0.820971\pi\)
\(108\) −4.53805 2.31225i −0.436674 0.222497i
\(109\) 13.6172 4.42448i 1.30429 0.423789i 0.427216 0.904149i \(-0.359494\pi\)
0.877071 + 0.480361i \(0.159494\pi\)
\(110\) 2.71814 0.216253i 0.259165 0.0206189i
\(111\) −0.930627 + 1.03357i −0.0883312 + 0.0981017i
\(112\) 2.54426 + 0.133339i 0.240410 + 0.0125993i
\(113\) 9.19504 7.44600i 0.864997 0.700460i −0.0903620 0.995909i \(-0.528802\pi\)
0.955359 + 0.295449i \(0.0954691\pi\)
\(114\) −1.39846 + 0.297252i −0.130978 + 0.0278402i
\(115\) 6.30910 + 3.00269i 0.588327 + 0.280002i
\(116\) 3.55662 + 4.89527i 0.330224 + 0.454515i
\(117\) −5.66093 2.17303i −0.523353 0.200896i
\(118\) −9.01081 + 2.41444i −0.829513 + 0.222267i
\(119\) −2.63470 4.56344i −0.241523 0.418330i
\(120\) 0.303184 + 2.28784i 0.0276767 + 0.208851i
\(121\) −9.30511 1.97786i −0.845919 0.179806i
\(122\) 9.54606 4.86396i 0.864259 0.440362i
\(123\) 4.94247 4.94247i 0.445647 0.445647i
\(124\) −4.16159 + 3.69881i −0.373722 + 0.332163i
\(125\) 8.48301 7.28276i 0.758743 0.651390i
\(126\) −1.52324 + 4.68805i −0.135701 + 0.417645i
\(127\) 5.91910 + 9.11462i 0.525235 + 0.808791i 0.997351 0.0727455i \(-0.0231761\pi\)
−0.472115 + 0.881537i \(0.656509\pi\)
\(128\) −0.156434 0.987688i −0.0138270 0.0873001i
\(129\) −4.77463 + 2.75663i −0.420382 + 0.242708i
\(130\) 1.64178 + 6.81293i 0.143994 + 0.597534i
\(131\) 10.4628 4.65832i 0.914136 0.406999i 0.104900 0.994483i \(-0.466548\pi\)
0.809236 + 0.587483i \(0.199881\pi\)
\(132\) −0.196884 + 1.24308i −0.0171366 + 0.108196i
\(133\) 1.26476 + 3.29482i 0.109669 + 0.285697i
\(134\) −0.0903508 0.425067i −0.00780512 0.0367202i
\(135\) −11.2925 1.47690i −0.971905 0.127111i
\(136\) −1.53702 + 1.38394i −0.131798 + 0.118672i
\(137\) 7.42895 0.389335i 0.634698 0.0332631i 0.267726 0.963495i \(-0.413728\pi\)
0.366972 + 0.930232i \(0.380394\pi\)
\(138\) −2.02960 + 2.50635i −0.172771 + 0.213355i
\(139\) 4.98784 + 15.3510i 0.423063 + 1.30205i 0.904837 + 0.425759i \(0.139993\pi\)
−0.481774 + 0.876296i \(0.660007\pi\)
\(140\) 5.46095 1.62267i 0.461535 0.137141i
\(141\) 6.71494 0.705769i 0.565500 0.0594365i
\(142\) −0.247745 4.72726i −0.0207903 0.396703i
\(143\) −0.200016 + 3.81653i −0.0167262 + 0.319154i
\(144\) 1.92417 + 0.202239i 0.160348 + 0.0168532i
\(145\) 11.1571 + 7.65409i 0.926548 + 0.635637i
\(146\) −5.50418 + 12.3626i −0.455529 + 1.02313i
\(147\) 0.518854 + 0.0821783i 0.0427943 + 0.00677795i
\(148\) 0.482917 1.25804i 0.0396955 0.103410i
\(149\) −0.700776 0.404593i −0.0574098 0.0331456i 0.471020 0.882122i \(-0.343886\pi\)
−0.528430 + 0.848977i \(0.677219\pi\)
\(150\) 2.35065 + 4.59404i 0.191930 + 0.375102i
\(151\) −3.62399 + 4.98800i −0.294916 + 0.405918i −0.930603 0.366029i \(-0.880717\pi\)
0.635687 + 0.771947i \(0.280717\pi\)
\(152\) 1.16176 0.754454i 0.0942309 0.0611943i
\(153\) −1.81669 3.56546i −0.146871 0.288250i
\(154\) 3.10680 0.250353
\(155\) −6.00170 + 10.9078i −0.482068 + 0.876134i
\(156\) −3.23466 −0.258980
\(157\) −5.04523 9.90183i −0.402653 0.790252i 0.597277 0.802035i \(-0.296249\pi\)
−0.999931 + 0.0117830i \(0.996249\pi\)
\(158\) 7.37517 4.78949i 0.586737 0.381032i
\(159\) −1.91625 + 2.63750i −0.151969 + 0.209167i
\(160\) −1.06863 1.96418i −0.0844829 0.155282i
\(161\) 6.89454 + 3.98056i 0.543366 + 0.313712i
\(162\) −0.196261 + 0.511277i −0.0154197 + 0.0401697i
\(163\) 20.4174 + 3.23380i 1.59922 + 0.253291i 0.891437 0.453144i \(-0.149698\pi\)
0.707778 + 0.706435i \(0.249698\pi\)
\(164\) −2.75455 + 6.18682i −0.215094 + 0.483110i
\(165\) 0.515215 + 2.76669i 0.0401095 + 0.215387i
\(166\) −1.53850 0.161702i −0.119410 0.0125505i
\(167\) −0.213160 + 4.06734i −0.0164949 + 0.314741i 0.977904 + 0.209052i \(0.0670379\pi\)
−0.994399 + 0.105688i \(0.966295\pi\)
\(168\) 0.137619 + 2.62592i 0.0106175 + 0.202594i
\(169\) 3.16030 0.332160i 0.243100 0.0255508i
\(170\) −2.20329 + 4.06621i −0.168984 + 0.311864i
\(171\) 0.828201 + 2.54894i 0.0633341 + 0.194922i
\(172\) 3.36170 4.15136i 0.256327 0.316538i
\(173\) 15.2969 0.801674i 1.16300 0.0609502i 0.538951 0.842337i \(-0.318821\pi\)
0.624047 + 0.781387i \(0.285487\pi\)
\(174\) −4.64103 + 4.17880i −0.351835 + 0.316794i
\(175\) 10.2931 7.50519i 0.778084 0.567339i
\(176\) −0.253534 1.19278i −0.0191108 0.0899095i
\(177\) −3.45041 8.98863i −0.259349 0.675627i
\(178\) −1.57444 + 9.94059i −0.118009 + 0.745079i
\(179\) 3.21846 1.43295i 0.240559 0.107104i −0.282916 0.959145i \(-0.591302\pi\)
0.523475 + 0.852041i \(0.324635\pi\)
\(180\) 4.20588 1.01353i 0.313488 0.0755444i
\(181\) 3.44703 1.99015i 0.256216 0.147926i −0.366391 0.930461i \(-0.619407\pi\)
0.622607 + 0.782535i \(0.286073\pi\)
\(182\) 1.24909 + 7.88647i 0.0925891 + 0.584584i
\(183\) 6.02245 + 9.27376i 0.445193 + 0.685536i
\(184\) 0.965607 2.97183i 0.0711855 0.219086i
\(185\) 0.0763099 3.01224i 0.00561041 0.221464i
\(186\) −4.24559 3.87260i −0.311302 0.283953i
\(187\) −1.78340 + 1.78340i −0.130415 + 0.130415i
\(188\) −5.82891 + 2.96998i −0.425117 + 0.216608i
\(189\) −12.6926 2.69789i −0.923248 0.196242i
\(190\) 1.88353 2.45900i 0.136646 0.178395i
\(191\) −5.09187 8.81938i −0.368435 0.638148i 0.620886 0.783901i \(-0.286773\pi\)
−0.989321 + 0.145753i \(0.953440\pi\)
\(192\) 0.996931 0.267127i 0.0719473 0.0192782i
\(193\) −24.0733 9.24086i −1.73283 0.665172i −0.732946 0.680287i \(-0.761855\pi\)
−0.999886 + 0.0151150i \(0.995189\pi\)
\(194\) 9.84916 + 13.5562i 0.707129 + 0.973279i
\(195\) −6.81598 + 2.42020i −0.488103 + 0.173314i
\(196\) −0.497861 + 0.105824i −0.0355615 + 0.00755882i
\(197\) 2.33397 1.89001i 0.166288 0.134658i −0.542564 0.840014i \(-0.682546\pi\)
0.708853 + 0.705357i \(0.249213\pi\)
\(198\) 2.35609 + 0.123477i 0.167440 + 0.00877515i
\(199\) 17.6822 19.6381i 1.25346 1.39210i 0.366392 0.930461i \(-0.380593\pi\)
0.887065 0.461644i \(-0.152740\pi\)
\(200\) −3.72142 3.33932i −0.263144 0.236125i
\(201\) 0.426561 0.138598i 0.0300873 0.00977594i
\(202\) −10.3823 5.29006i −0.730498 0.372207i
\(203\) 11.9806 + 9.70169i 0.840873 + 0.680925i
\(204\) −1.58635 1.42836i −0.111067 0.100005i
\(205\) −1.17527 + 15.0977i −0.0820845 + 1.05447i
\(206\) 1.46414 13.9303i 0.102011 0.970572i
\(207\) 5.07036 + 3.29273i 0.352415 + 0.228861i
\(208\) 2.92589 1.12314i 0.202874 0.0778761i
\(209\) 1.36659 0.992887i 0.0945291 0.0686794i
\(210\) 2.25473 + 5.43031i 0.155591 + 0.374727i
\(211\) 3.86968 6.70249i 0.266400 0.461418i −0.701530 0.712640i \(-0.747499\pi\)
0.967929 + 0.251222i \(0.0808325\pi\)
\(212\) 0.817540 3.05110i 0.0561488 0.209550i
\(213\) 4.82555 0.764292i 0.330641 0.0523684i
\(214\) −1.38437 + 6.51296i −0.0946338 + 0.445217i
\(215\) 3.97760 11.2629i 0.271270 0.768123i
\(216\) 5.09317i 0.346547i
\(217\) −7.80238 + 11.8467i −0.529660 + 0.804207i
\(218\) −10.1243 10.1243i −0.685704 0.685704i
\(219\) −13.2833 4.31602i −0.897604 0.291649i
\(220\) −1.42669 2.32371i −0.0961877 0.156664i
\(221\) −5.24408 3.81005i −0.352755 0.256292i
\(222\) 1.34341 + 0.359966i 0.0901638 + 0.0241593i
\(223\) 5.17022 + 19.2955i 0.346224 + 1.29212i 0.891176 + 0.453657i \(0.149881\pi\)
−0.544953 + 0.838467i \(0.683452\pi\)
\(224\) −1.03626 2.32748i −0.0692382 0.155512i
\(225\) 8.10419 5.28258i 0.540279 0.352172i
\(226\) −10.8089 4.81243i −0.718997 0.320118i
\(227\) −6.58255 + 10.1362i −0.436899 + 0.672766i −0.986704 0.162527i \(-0.948035\pi\)
0.549805 + 0.835293i \(0.314702\pi\)
\(228\) 0.899740 + 1.11109i 0.0595868 + 0.0735835i
\(229\) −6.37011 7.07472i −0.420949 0.467511i 0.494949 0.868922i \(-0.335187\pi\)
−0.915898 + 0.401411i \(0.868520\pi\)
\(230\) −0.188855 6.98465i −0.0124527 0.460554i
\(231\) 0.335174 + 3.18896i 0.0220528 + 0.209818i
\(232\) 2.74705 5.39138i 0.180352 0.353962i
\(233\) −1.21315 + 2.38095i −0.0794763 + 0.155981i −0.927325 0.374257i \(-0.877898\pi\)
0.847849 + 0.530239i \(0.177898\pi\)
\(234\) 0.633827 + 6.03046i 0.0414346 + 0.394223i
\(235\) −10.0604 + 10.6195i −0.656265 + 0.692740i
\(236\) 6.24211 + 6.93256i 0.406326 + 0.451271i
\(237\) 5.71182 + 7.05351i 0.371022 + 0.458174i
\(238\) −2.86992 + 4.41929i −0.186030 + 0.286460i
\(239\) −17.7660 7.90992i −1.14918 0.511650i −0.258383 0.966043i \(-0.583190\pi\)
−0.890802 + 0.454393i \(0.849856\pi\)
\(240\) 1.90084 1.30880i 0.122699 0.0844825i
\(241\) −9.17427 20.6057i −0.590966 1.32733i −0.923267 0.384159i \(-0.874491\pi\)
0.332301 0.943174i \(-0.392175\pi\)
\(242\) 2.46214 + 9.18884i 0.158272 + 0.590681i
\(243\) −15.3049 4.10092i −0.981807 0.263074i
\(244\) −8.66764 6.29741i −0.554889 0.403150i
\(245\) −0.969901 + 0.595493i −0.0619647 + 0.0380447i
\(246\) −6.64761 2.15994i −0.423836 0.137713i
\(247\) 3.06984 + 3.06984i 0.195329 + 0.195329i
\(248\) 5.18498 + 2.02878i 0.329247 + 0.128827i
\(249\) 1.59663i 0.101182i
\(250\) −10.3402 4.25211i −0.653971 0.268927i
\(251\) −0.156740 + 0.737404i −0.00989335 + 0.0465445i −0.982817 0.184581i \(-0.940907\pi\)
0.972924 + 0.231125i \(0.0742407\pi\)
\(252\) 4.86862 0.771114i 0.306694 0.0485756i
\(253\) 0.986215 3.68061i 0.0620028 0.231398i
\(254\) 5.43397 9.41191i 0.340957 0.590555i
\(255\) −4.41144 1.82288i −0.276255 0.114153i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) 7.23478 2.77717i 0.451293 0.173235i −0.122096 0.992518i \(-0.538962\pi\)
0.573389 + 0.819283i \(0.305628\pi\)
\(258\) 4.62381 + 3.00274i 0.287866 + 0.186942i
\(259\) 0.358867 3.41440i 0.0222989 0.212160i
\(260\) 5.32501 4.55584i 0.330243 0.282541i
\(261\) 8.70006 + 7.83357i 0.538520 + 0.484886i
\(262\) −8.90059 7.20756i −0.549880 0.445284i
\(263\) −7.14073 3.63839i −0.440317 0.224352i 0.219755 0.975555i \(-0.429474\pi\)
−0.660072 + 0.751203i \(0.729474\pi\)
\(264\) 1.19698 0.388921i 0.0736687 0.0239364i
\(265\) −0.560167 7.04089i −0.0344108 0.432518i
\(266\) 2.36152 2.62273i 0.144794 0.160810i
\(267\) −10.3733 0.543643i −0.634838 0.0332704i
\(268\) −0.337719 + 0.273479i −0.0206295 + 0.0167054i
\(269\) −10.1112 + 2.14921i −0.616492 + 0.131039i −0.505564 0.862789i \(-0.668716\pi\)
−0.110928 + 0.993828i \(0.535382\pi\)
\(270\) 3.81077 + 10.7322i 0.231916 + 0.653141i
\(271\) −18.3531 25.2609i −1.11487 1.53449i −0.814035 0.580816i \(-0.802733\pi\)
−0.300839 0.953675i \(-0.597267\pi\)
\(272\) 1.93089 + 0.741198i 0.117077 + 0.0449417i
\(273\) −7.96028 + 2.13295i −0.481778 + 0.129092i
\(274\) −3.71957 6.44249i −0.224708 0.389205i
\(275\) −4.74491 3.82898i −0.286129 0.230896i
\(276\) 3.15460 + 0.670530i 0.189884 + 0.0403612i
\(277\) −3.48103 + 1.77367i −0.209155 + 0.106570i −0.555430 0.831563i \(-0.687446\pi\)
0.346275 + 0.938133i \(0.387446\pi\)
\(278\) 11.4134 11.4134i 0.684530 0.684530i
\(279\) −6.38788 + 8.67401i −0.382432 + 0.519299i
\(280\) −3.92503 4.12907i −0.234566 0.246759i
\(281\) −8.33534 + 25.6535i −0.497245 + 1.53036i 0.316185 + 0.948698i \(0.397598\pi\)
−0.813429 + 0.581664i \(0.802402\pi\)
\(282\) −3.67736 5.66264i −0.218984 0.337206i
\(283\) 0.479942 + 3.03024i 0.0285296 + 0.180129i 0.997838 0.0657183i \(-0.0209339\pi\)
−0.969309 + 0.245847i \(0.920934\pi\)
\(284\) −4.09955 + 2.36687i −0.243263 + 0.140448i
\(285\) 2.72724 + 1.66806i 0.161548 + 0.0988072i
\(286\) 3.49136 1.55445i 0.206448 0.0919166i
\(287\) −2.69915 + 17.0417i −0.159326 + 1.00594i
\(288\) −0.693360 1.80626i −0.0408566 0.106435i
\(289\) 2.64511 + 12.4443i 0.155595 + 0.732017i
\(290\) 1.75462 13.4159i 0.103035 0.787812i
\(291\) −12.8521 + 11.5721i −0.753406 + 0.678370i
\(292\) 13.5140 0.708238i 0.790846 0.0414465i
\(293\) −12.7338 + 15.7250i −0.743918 + 0.918662i −0.998833 0.0483011i \(-0.984619\pi\)
0.254915 + 0.966964i \(0.417953\pi\)
\(294\) −0.162333 0.499610i −0.00946746 0.0291379i
\(295\) 18.3402 + 9.93770i 1.06781 + 0.578595i
\(296\) −1.34016 + 0.140857i −0.0778954 + 0.00818713i
\(297\) 0.325047 + 6.20226i 0.0188611 + 0.359892i
\(298\) −0.0423496 + 0.808078i −0.00245324 + 0.0468107i
\(299\) 9.73955 + 1.02367i 0.563253 + 0.0592003i
\(300\) 3.02614 4.18009i 0.174715 0.241338i
\(301\) 5.53550 12.4329i 0.319061 0.716623i
\(302\) 6.08960 + 0.964498i 0.350417 + 0.0555006i
\(303\) 4.30987 11.2276i 0.247596 0.645009i
\(304\) −1.19965 0.692618i −0.0688046 0.0397244i
\(305\) −22.9760 6.78451i −1.31560 0.388480i
\(306\) −2.35209 + 3.23737i −0.134460 + 0.185068i
\(307\) 21.4998 13.9621i 1.22706 0.796860i 0.242199 0.970227i \(-0.422131\pi\)
0.984857 + 0.173367i \(0.0554646\pi\)
\(308\) −1.41046 2.76818i −0.0803684 0.157732i
\(309\) 14.4567 0.822412
\(310\) 12.4436 + 0.395526i 0.706750 + 0.0224644i
\(311\) 8.56333 0.485582 0.242791 0.970079i \(-0.421937\pi\)
0.242791 + 0.970079i \(0.421937\pi\)
\(312\) 1.46850 + 2.88210i 0.0831376 + 0.163167i
\(313\) −1.43868 + 0.934290i −0.0813190 + 0.0528092i −0.584658 0.811280i \(-0.698771\pi\)
0.503339 + 0.864089i \(0.332105\pi\)
\(314\) −6.53211 + 8.99067i −0.368628 + 0.507373i
\(315\) 9.68207 5.26762i 0.545523 0.296797i
\(316\) −7.61573 4.39694i −0.428418 0.247347i
\(317\) −3.38904 + 8.82875i −0.190347 + 0.495872i −0.995229 0.0975630i \(-0.968895\pi\)
0.804882 + 0.593435i \(0.202229\pi\)
\(318\) 3.21999 + 0.509996i 0.180568 + 0.0285991i
\(319\) 3.00117 6.74073i 0.168033 0.377408i
\(320\) −1.26495 + 1.84388i −0.0707130 + 0.103076i
\(321\) −6.83455 0.718340i −0.381467 0.0400938i
\(322\) 0.416653 7.95021i 0.0232192 0.443048i
\(323\) 0.149944 + 2.86110i 0.00834311 + 0.159196i
\(324\) 0.544651 0.0572452i 0.0302584 0.00318029i
\(325\) 7.81200 13.5842i 0.433332 0.753515i
\(326\) −6.38798 19.6602i −0.353797 1.08888i
\(327\) 9.29980 11.4843i 0.514280 0.635083i
\(328\) 6.76304 0.354436i 0.373426 0.0195704i
\(329\) −12.3861 + 11.1525i −0.682870 + 0.614859i
\(330\) 2.23124 1.71511i 0.122826 0.0944139i
\(331\) −4.19868 19.7532i −0.230780 1.08574i −0.929065 0.369916i \(-0.879386\pi\)
0.698285 0.715820i \(-0.253947\pi\)
\(332\) 0.554385 + 1.44422i 0.0304258 + 0.0792619i
\(333\) 0.407854 2.57509i 0.0223503 0.141114i
\(334\) 3.72080 1.65661i 0.203593 0.0906456i
\(335\) −0.507012 + 0.828954i −0.0277010 + 0.0452906i
\(336\) 2.27724 1.31476i 0.124234 0.0717263i
\(337\) 2.50603 + 15.8225i 0.136512 + 0.861905i 0.956968 + 0.290194i \(0.0937200\pi\)
−0.820455 + 0.571711i \(0.806280\pi\)
\(338\) −1.73070 2.66505i −0.0941377 0.144959i
\(339\) 3.77359 11.6139i 0.204953 0.630782i
\(340\) 4.62329 + 0.117123i 0.250733 + 0.00635189i
\(341\) 6.44354 + 2.13966i 0.348937 + 0.115869i
\(342\) 1.89513 1.89513i 0.102477 0.102477i
\(343\) −17.0458 + 8.68529i −0.920389 + 0.468962i
\(344\) −5.22507 1.11062i −0.281717 0.0598807i
\(345\) 7.14898 0.947379i 0.384888 0.0510052i
\(346\) −7.65892 13.2656i −0.411746 0.713166i
\(347\) 23.5024 6.29745i 1.26168 0.338065i 0.434840 0.900508i \(-0.356805\pi\)
0.826836 + 0.562443i \(0.190138\pi\)
\(348\) 5.83032 + 2.23805i 0.312538 + 0.119972i
\(349\) 16.5116 + 22.7263i 0.883847 + 1.21651i 0.975340 + 0.220706i \(0.0708361\pi\)
−0.0914931 + 0.995806i \(0.529164\pi\)
\(350\) −11.3601 5.76392i −0.607225 0.308094i
\(351\) −15.6135 + 3.31875i −0.833385 + 0.177142i
\(352\) −0.947676 + 0.767413i −0.0505113 + 0.0409033i
\(353\) −29.8316 1.56341i −1.58778 0.0832119i −0.762140 0.647413i \(-0.775851\pi\)
−0.825637 + 0.564201i \(0.809184\pi\)
\(354\) −6.44247 + 7.15509i −0.342414 + 0.380289i
\(355\) −6.86754 + 8.05474i −0.364491 + 0.427501i
\(356\) 9.57191 3.11010i 0.507310 0.164835i
\(357\) −4.84578 2.46905i −0.256466 0.130676i
\(358\) −2.73792 2.21712i −0.144704 0.117179i
\(359\) −22.9080 20.6264i −1.20904 1.08862i −0.993699 0.112082i \(-0.964248\pi\)
−0.215338 0.976540i \(-0.569085\pi\)
\(360\) −2.81250 3.28733i −0.148232 0.173258i
\(361\) −1.78546 + 16.9875i −0.0939717 + 0.894081i
\(362\) −3.33815 2.16782i −0.175449 0.113938i
\(363\) −9.16622 + 3.51858i −0.481102 + 0.184678i
\(364\) 6.45982 4.69334i 0.338587 0.245998i
\(365\) 27.9464 11.6037i 1.46278 0.607365i
\(366\) 5.52885 9.57625i 0.288998 0.500558i
\(367\) 3.69429 13.7873i 0.192840 0.719689i −0.799975 0.600033i \(-0.795154\pi\)
0.992815 0.119656i \(-0.0381792\pi\)
\(368\) −3.08630 + 0.488822i −0.160884 + 0.0254816i
\(369\) −2.72424 + 12.8166i −0.141818 + 0.667203i
\(370\) −2.71857 + 1.29953i −0.141331 + 0.0675595i
\(371\) 8.04765i 0.417813i
\(372\) −1.52305 + 5.54098i −0.0789666 + 0.287286i
\(373\) −13.3713 13.3713i −0.692337 0.692337i 0.270409 0.962746i \(-0.412841\pi\)
−0.962746 + 0.270409i \(0.912841\pi\)
\(374\) 2.39866 + 0.779372i 0.124032 + 0.0403004i
\(375\) 3.24902 11.0724i 0.167779 0.571775i
\(376\) 5.29254 + 3.84525i 0.272942 + 0.198304i
\(377\) 18.3176 + 4.90820i 0.943407 + 0.252785i
\(378\) 3.35847 + 12.5340i 0.172741 + 0.644678i
\(379\) 0.253352 + 0.569038i 0.0130138 + 0.0292295i 0.919935 0.392070i \(-0.128241\pi\)
−0.906922 + 0.421299i \(0.861574\pi\)
\(380\) −3.04609 0.561876i −0.156261 0.0288236i
\(381\) 10.2470 + 4.56228i 0.524972 + 0.233733i
\(382\) −5.54646 + 8.54081i −0.283782 + 0.436986i
\(383\) 19.6255 + 24.2355i 1.00282 + 1.23837i 0.971049 + 0.238879i \(0.0767799\pi\)
0.0317665 + 0.999495i \(0.489887\pi\)
\(384\) −0.690609 0.766999i −0.0352425 0.0391408i
\(385\) −5.04327 4.77772i −0.257029 0.243495i
\(386\) 2.69537 + 25.6447i 0.137191 + 1.30528i
\(387\) 4.69206 9.20869i 0.238511 0.468104i
\(388\) 7.60725 14.9301i 0.386199 0.757959i
\(389\) 3.70414 + 35.2425i 0.187807 + 1.78687i 0.530767 + 0.847518i \(0.321904\pi\)
−0.342960 + 0.939350i \(0.611429\pi\)
\(390\) 5.25081 + 4.97433i 0.265885 + 0.251885i
\(391\) 4.32448 + 4.80282i 0.218698 + 0.242889i
\(392\) 0.320313 + 0.395554i 0.0161783 + 0.0199785i
\(393\) 6.43793 9.91355i 0.324751 0.500072i
\(394\) −2.74361 1.22153i −0.138221 0.0615400i
\(395\) −19.3375 3.56695i −0.972975 0.179473i
\(396\) −0.959622 2.15535i −0.0482228 0.108310i
\(397\) −1.83064 6.83205i −0.0918773 0.342891i 0.904650 0.426155i \(-0.140132\pi\)
−0.996528 + 0.0832641i \(0.973465\pi\)
\(398\) −25.5252 6.83945i −1.27946 0.342831i
\(399\) 2.94686 + 2.14102i 0.147527 + 0.107185i
\(400\) −1.28586 + 4.83183i −0.0642932 + 0.241591i
\(401\) −18.1393 5.89382i −0.905834 0.294323i −0.181191 0.983448i \(-0.557995\pi\)
−0.724643 + 0.689125i \(0.757995\pi\)
\(402\) −0.317146 0.317146i −0.0158178 0.0158178i
\(403\) −2.84078 + 17.2169i −0.141510 + 0.857634i
\(404\) 11.6524i 0.579726i
\(405\) 1.10484 0.528139i 0.0549001 0.0262435i
\(406\) 3.20520 15.0793i 0.159071 0.748371i
\(407\) −1.62301 + 0.257059i −0.0804495 + 0.0127419i
\(408\) −0.552488 + 2.06191i −0.0273522 + 0.102080i
\(409\) −13.8097 + 23.9191i −0.682846 + 1.18272i 0.291262 + 0.956643i \(0.405925\pi\)
−0.974108 + 0.226081i \(0.927408\pi\)
\(410\) 13.9857 5.80703i 0.690705 0.286789i
\(411\) 6.21158 4.51298i 0.306395 0.222609i
\(412\) −13.0767 + 5.01968i −0.644244 + 0.247302i
\(413\) 19.9328 + 12.9445i 0.980828 + 0.636957i
\(414\) 0.631949 6.01260i 0.0310586 0.295503i
\(415\) 2.24877 + 2.62843i 0.110388 + 0.129024i
\(416\) −2.32906 2.09709i −0.114191 0.102818i
\(417\) 12.9466 + 10.4839i 0.633996 + 0.513400i
\(418\) −1.50509 0.766881i −0.0736163 0.0375094i
\(419\) 15.3204 4.97791i 0.748452 0.243187i 0.0901367 0.995929i \(-0.471270\pi\)
0.658315 + 0.752743i \(0.271270\pi\)
\(420\) 3.81482 4.47429i 0.186144 0.218323i
\(421\) 3.32795 3.69606i 0.162194 0.180135i −0.656570 0.754266i \(-0.727993\pi\)
0.818764 + 0.574131i \(0.194660\pi\)
\(422\) −7.72876 0.405047i −0.376230 0.0197174i
\(423\) −9.83645 + 7.96540i −0.478265 + 0.387291i
\(424\) −3.08970 + 0.656737i −0.150049 + 0.0318940i
\(425\) 9.82970 3.21239i 0.476811 0.155824i
\(426\) −2.87174 3.95261i −0.139136 0.191505i
\(427\) −25.4830 9.78202i −1.23321 0.473385i
\(428\) 6.43158 1.72334i 0.310882 0.0833007i
\(429\) 1.97222 + 3.41599i 0.0952197 + 0.164925i
\(430\) −11.8411 + 1.56918i −0.571029 + 0.0756724i
\(431\) −26.0443 5.53589i −1.25451 0.266655i −0.467721 0.883876i \(-0.654925\pi\)
−0.786789 + 0.617221i \(0.788258\pi\)
\(432\) 4.53805 2.31225i 0.218337 0.111248i
\(433\) 24.5104 24.5104i 1.17790 1.17790i 0.197617 0.980279i \(-0.436680\pi\)
0.980279 0.197617i \(-0.0633204\pi\)
\(434\) 14.0977 + 1.57368i 0.676711 + 0.0755391i
\(435\) 13.9600 + 0.353654i 0.669332 + 0.0169564i
\(436\) −4.42448 + 13.6172i −0.211894 + 0.652144i
\(437\) −2.35749 3.63022i −0.112774 0.173657i
\(438\) 2.18491 + 13.7950i 0.104399 + 0.659149i
\(439\) −12.6115 + 7.28126i −0.601915 + 0.347516i −0.769795 0.638292i \(-0.779641\pi\)
0.167880 + 0.985808i \(0.446308\pi\)
\(440\) −1.42273 + 2.32613i −0.0678261 + 0.110894i
\(441\) −0.899628 + 0.400540i −0.0428394 + 0.0190733i
\(442\) −1.01401 + 6.40224i −0.0482318 + 0.304523i
\(443\) 6.99345 + 18.2186i 0.332269 + 0.865589i 0.993335 + 0.115262i \(0.0367708\pi\)
−0.661066 + 0.750327i \(0.729896\pi\)
\(444\) −0.289164 1.36041i −0.0137231 0.0645621i
\(445\) 17.8427 13.7153i 0.845824 0.650169i
\(446\) 14.8452 13.3667i 0.702941 0.632931i
\(447\) −0.834017 + 0.0437090i −0.0394476 + 0.00206736i
\(448\) −1.60335 + 1.97997i −0.0757511 + 0.0935449i
\(449\) 4.87108 + 14.9916i 0.229881 + 0.707500i 0.997759 + 0.0669045i \(0.0213123\pi\)
−0.767879 + 0.640595i \(0.778688\pi\)
\(450\) −8.38603 4.82264i −0.395321 0.227342i
\(451\) 8.21314 0.863236i 0.386742 0.0406482i
\(452\) 0.619229 + 11.8156i 0.0291261 + 0.555759i
\(453\) −0.333035 + 6.35470i −0.0156474 + 0.298570i
\(454\) 12.0199 + 1.26334i 0.564120 + 0.0592914i
\(455\) 10.1004 14.7230i 0.473512 0.690224i
\(456\) 0.581512 1.30610i 0.0272318 0.0611636i
\(457\) 10.3834 + 1.64457i 0.485716 + 0.0769298i 0.394490 0.918900i \(-0.370921\pi\)
0.0912261 + 0.995830i \(0.470921\pi\)
\(458\) −3.41166 + 8.88767i −0.159416 + 0.415293i
\(459\) −9.12272 5.26700i −0.425812 0.245843i
\(460\) −6.13763 + 3.33923i −0.286168 + 0.155693i
\(461\) 13.2047 18.1747i 0.615004 0.846481i −0.381973 0.924173i \(-0.624755\pi\)
0.996977 + 0.0776926i \(0.0247553\pi\)
\(462\) 2.68922 1.74640i 0.125114 0.0812499i
\(463\) 8.13901 + 15.9737i 0.378252 + 0.742361i 0.999137 0.0415407i \(-0.0132266\pi\)
−0.620885 + 0.783902i \(0.713227\pi\)
\(464\) −6.05089 −0.280906
\(465\) 0.936478 + 12.8154i 0.0434281 + 0.594298i
\(466\) 2.67220 0.123787
\(467\) −8.30195 16.2935i −0.384168 0.753973i 0.615241 0.788339i \(-0.289059\pi\)
−0.999409 + 0.0343664i \(0.989059\pi\)
\(468\) 5.08543 3.30252i 0.235074 0.152659i
\(469\) −0.650771 + 0.895709i −0.0300498 + 0.0413600i
\(470\) 14.0294 + 4.14269i 0.647126 + 0.191088i
\(471\) −9.93314 5.73490i −0.457695 0.264250i
\(472\) 3.34310 8.70907i 0.153879 0.400868i
\(473\) −6.43376 1.01901i −0.295824 0.0468540i
\(474\) 3.69161 8.29149i 0.169561 0.380841i
\(475\) −6.83905 + 1.09515i −0.313797 + 0.0502489i
\(476\) 5.24054 + 0.550803i 0.240200 + 0.0252460i
\(477\) 0.319847 6.10304i 0.0146448 0.279439i
\(478\) 1.01779 + 19.4206i 0.0465527 + 0.888278i
\(479\) −14.1029 + 1.48227i −0.644377 + 0.0677268i −0.421080 0.907024i \(-0.638349\pi\)
−0.223297 + 0.974750i \(0.571682\pi\)
\(480\) −2.02911 1.09948i −0.0926158 0.0501841i
\(481\) −1.30506 4.01658i −0.0595058 0.183140i
\(482\) −14.1948 + 17.5291i −0.646556 + 0.798431i
\(483\) 8.20541 0.430027i 0.373359 0.0195669i
\(484\) 7.06953 6.36543i 0.321342 0.289338i
\(485\) 4.85896 37.1521i 0.220634 1.68699i
\(486\) 3.29431 + 15.4985i 0.149433 + 0.703027i
\(487\) 4.09480 + 10.6673i 0.185553 + 0.483383i 0.994529 0.104459i \(-0.0333111\pi\)
−0.808976 + 0.587842i \(0.799978\pi\)
\(488\) −1.67601 + 10.5819i −0.0758692 + 0.479019i
\(489\) 19.4909 8.67792i 0.881410 0.392429i
\(490\) 0.970914 + 0.593839i 0.0438614 + 0.0268269i
\(491\) −36.6361 + 21.1519i −1.65336 + 0.954571i −0.677690 + 0.735347i \(0.737019\pi\)
−0.975675 + 0.219223i \(0.929648\pi\)
\(492\) 1.09343 + 6.90365i 0.0492957 + 0.311241i
\(493\) 6.81606 + 10.4958i 0.306980 + 0.472707i
\(494\) 1.34157 4.12892i 0.0603600 0.185769i
\(495\) −3.63474 3.82369i −0.163370 0.171862i
\(496\) −0.546280 5.54090i −0.0245287 0.248794i
\(497\) −8.52799 + 8.52799i −0.382532 + 0.382532i
\(498\) −1.42261 + 0.724854i −0.0637485 + 0.0324815i
\(499\) 38.1968 + 8.11898i 1.70992 + 0.363456i 0.955968 0.293469i \(-0.0948099\pi\)
0.753956 + 0.656925i \(0.228143\pi\)
\(500\) 0.905687 + 11.1436i 0.0405036 + 0.498357i
\(501\) 2.10183 + 3.64048i 0.0939029 + 0.162645i
\(502\) 0.728190 0.195118i 0.0325007 0.00870854i
\(503\) −27.1068 10.4053i −1.20863 0.463950i −0.331158 0.943575i \(-0.607439\pi\)
−0.877473 + 0.479625i \(0.840773\pi\)
\(504\) −2.89737 3.98789i −0.129059 0.177635i
\(505\) 8.71841 + 24.5535i 0.387964 + 1.09262i
\(506\) −3.72718 + 0.792236i −0.165693 + 0.0352192i
\(507\) 2.54881 2.06399i 0.113197 0.0916648i
\(508\) −10.8530 0.568784i −0.481526 0.0252357i
\(509\) −12.4488 + 13.8258i −0.551783 + 0.612818i −0.952928 0.303197i \(-0.901946\pi\)
0.401144 + 0.916015i \(0.368613\pi\)
\(510\) 0.378557 + 4.75819i 0.0167628 + 0.210696i
\(511\) 32.7900 10.6541i 1.45055 0.471311i
\(512\) 0.891007 + 0.453990i 0.0393773 + 0.0200637i
\(513\) 5.48296 + 4.44001i 0.242079 + 0.196031i
\(514\) −5.75900 5.18543i −0.254019 0.228720i
\(515\) −23.7991 + 20.3615i −1.04872 + 0.897234i
\(516\) 0.576293 5.48306i 0.0253699 0.241378i
\(517\) 6.69045 + 4.34483i 0.294246 + 0.191085i
\(518\) −3.20517 + 1.23035i −0.140827 + 0.0540585i
\(519\) 12.7902 9.29262i 0.561427 0.407901i
\(520\) −6.47679 2.67631i −0.284026 0.117364i
\(521\) 0.499310 0.864830i 0.0218751 0.0378889i −0.854881 0.518825i \(-0.826370\pi\)
0.876756 + 0.480936i \(0.159703\pi\)
\(522\) 3.03002 11.3082i 0.132620 0.494945i
\(523\) −18.9325 + 2.99862i −0.827862 + 0.131120i −0.555965 0.831206i \(-0.687651\pi\)
−0.271897 + 0.962326i \(0.587651\pi\)
\(524\) −2.38120 + 11.2026i −0.104023 + 0.489390i
\(525\) 4.69077 12.2824i 0.204722 0.536048i
\(526\) 8.01423i 0.349437i
\(527\) −8.99583 + 7.18915i −0.391864 + 0.313164i
\(528\) −0.889946 0.889946i −0.0387299 0.0387299i
\(529\) 12.5880 + 4.09009i 0.547305 + 0.177830i
\(530\) −6.01917 + 3.69561i −0.261456 + 0.160527i
\(531\) 14.6018 + 10.6089i 0.633666 + 0.460385i
\(532\) −3.40898 0.913433i −0.147798 0.0396023i
\(533\) 5.49339 + 20.5016i 0.237945 + 0.888023i
\(534\) 4.22500 + 9.48951i 0.182834 + 0.410651i
\(535\) 12.2630 8.44355i 0.530178 0.365046i
\(536\) 0.396993 + 0.176753i 0.0171475 + 0.00763456i
\(537\) 1.98038 3.04952i 0.0854597 0.131596i
\(538\) 6.50535 + 8.03344i 0.280466 + 0.346346i
\(539\) 0.415309 + 0.461248i 0.0178886 + 0.0198673i
\(540\) 7.83241 8.26774i 0.337053 0.355787i
\(541\) 0.872064 + 8.29713i 0.0374929 + 0.356722i 0.997144 + 0.0755271i \(0.0240639\pi\)
−0.959651 + 0.281194i \(0.909269\pi\)
\(542\) −14.1755 + 27.8210i −0.608890 + 1.19501i
\(543\) 1.86502 3.66031i 0.0800356 0.157079i
\(544\) −0.216192 2.05693i −0.00926916 0.0881902i
\(545\) 0.865347 + 32.0042i 0.0370674 + 1.37091i
\(546\) 5.51436 + 6.12432i 0.235993 + 0.262097i
\(547\) −0.0105575 0.0130375i −0.000451407 0.000557441i 0.776920 0.629599i \(-0.216781\pi\)
−0.777372 + 0.629042i \(0.783447\pi\)
\(548\) −4.05165 + 6.23899i −0.173078 + 0.266517i
\(549\) −18.9366 8.43113i −0.808196 0.359832i
\(550\) −1.25751 + 5.96607i −0.0536202 + 0.254394i
\(551\) −3.40923 7.65726i −0.145238 0.326210i
\(552\) −0.834710 3.11518i −0.0355276 0.132591i
\(553\) −21.6412 5.79874i −0.920277 0.246587i
\(554\) 3.16071 + 2.29639i 0.134286 + 0.0975642i
\(555\) −1.62719 2.65026i −0.0690703 0.112497i
\(556\) −15.3510 4.98784i −0.651027 0.211532i
\(557\) −15.1301 15.1301i −0.641085 0.641085i 0.309737 0.950822i \(-0.399759\pi\)
−0.950822 + 0.309737i \(0.899759\pi\)
\(558\) 10.6286 + 1.75372i 0.449946 + 0.0742411i
\(559\) 16.7415i 0.708089i
\(560\) −1.89710 + 5.37179i −0.0801671 + 0.226999i
\(561\) −0.541206 + 2.54618i −0.0228498 + 0.107500i
\(562\) 26.6416 4.21962i 1.12381 0.177994i
\(563\) 6.25184 23.3322i 0.263484 0.983334i −0.699689 0.714448i \(-0.746678\pi\)
0.963172 0.268886i \(-0.0866554\pi\)
\(564\) −3.37596 + 5.84734i −0.142154 + 0.246218i
\(565\) 10.1454 + 24.4342i 0.426819 + 1.02795i
\(566\) 2.48207 1.80333i 0.104329 0.0757997i
\(567\) 1.30260 0.500023i 0.0547042 0.0209990i
\(568\) 3.97006 + 2.57818i 0.166580 + 0.108178i
\(569\) 1.63988 15.6024i 0.0687472 0.654086i −0.904837 0.425758i \(-0.860007\pi\)
0.973584 0.228328i \(-0.0733259\pi\)
\(570\) 0.248111 3.18727i 0.0103922 0.133500i
\(571\) −8.08201 7.27707i −0.338221 0.304536i 0.482464 0.875916i \(-0.339742\pi\)
−0.820686 + 0.571380i \(0.806408\pi\)
\(572\) −2.97007 2.40511i −0.124185 0.100563i
\(573\) −9.36505 4.77173i −0.391230 0.199342i
\(574\) 16.4097 5.33183i 0.684927 0.222546i
\(575\) −10.4346 + 11.6286i −0.435153 + 0.484945i
\(576\) −1.29461 + 1.43782i −0.0539423 + 0.0599090i
\(577\) −4.86351 0.254886i −0.202471 0.0106110i −0.0491690 0.998790i \(-0.515657\pi\)
−0.153302 + 0.988179i \(0.548991\pi\)
\(578\) 9.88708 8.00640i 0.411248 0.333022i
\(579\) −26.0321 + 5.53329i −1.08186 + 0.229956i
\(580\) −12.7503 + 4.52734i −0.529426 + 0.187988i
\(581\) 2.31663 + 3.18857i 0.0961101 + 0.132284i
\(582\) 16.1456 + 6.19771i 0.669256 + 0.256903i
\(583\) −3.72061 + 0.996933i −0.154092 + 0.0412888i
\(584\) −6.76627 11.7195i −0.279990 0.484957i
\(585\) 8.24490 10.7639i 0.340885 0.445034i
\(586\) 19.7921 + 4.20694i 0.817604 + 0.173787i
\(587\) 37.3462 19.0289i 1.54144 0.785405i 0.542923 0.839782i \(-0.317317\pi\)
0.998520 + 0.0543775i \(0.0173174\pi\)
\(588\) −0.371458 + 0.371458i −0.0153187 + 0.0153187i
\(589\) 6.70409 3.81319i 0.276237 0.157120i
\(590\) 0.528272 20.8529i 0.0217486 0.858499i
\(591\) 0.957847 2.94795i 0.0394006 0.121262i
\(592\) 0.733925 + 1.13015i 0.0301641 + 0.0464487i
\(593\) −6.27303 39.6063i −0.257602 1.62644i −0.689340 0.724438i \(-0.742100\pi\)
0.431738 0.901999i \(-0.357900\pi\)
\(594\) 5.37869 3.10539i 0.220690 0.127416i
\(595\) 11.4548 2.76039i 0.469603 0.113165i
\(596\) 0.739229 0.329126i 0.0302800 0.0134815i
\(597\) 4.26657 26.9381i 0.174619 1.10250i
\(598\) −3.50957 9.14274i −0.143517 0.373874i
\(599\) −4.93441 23.2146i −0.201615 0.948522i −0.956289 0.292423i \(-0.905539\pi\)
0.754674 0.656099i \(-0.227795\pi\)
\(600\) −5.09833 0.798593i −0.208138 0.0326024i
\(601\) −21.9557 + 19.7690i −0.895592 + 0.806394i −0.981807 0.189882i \(-0.939189\pi\)
0.0862151 + 0.996277i \(0.472523\pi\)
\(602\) −13.5909 + 0.712269i −0.553924 + 0.0290299i
\(603\) −0.529120 + 0.653409i −0.0215474 + 0.0266089i
\(604\) −1.90525 5.86375i −0.0775234 0.238592i
\(605\) 10.1340 18.7026i 0.412007 0.760367i
\(606\) −11.9605 + 1.25710i −0.485862 + 0.0510662i
\(607\) −1.18317 22.5763i −0.0480235 0.916343i −0.911333 0.411669i \(-0.864946\pi\)
0.863310 0.504674i \(-0.168387\pi\)
\(608\) −0.0724977 + 1.38334i −0.00294017 + 0.0561018i
\(609\) 15.8238 + 1.66315i 0.641214 + 0.0673943i
\(610\) 4.38584 + 23.5519i 0.177578 + 0.953588i
\(611\) −8.33923 + 18.7302i −0.337369 + 0.757744i
\(612\) 3.95234 + 0.625990i 0.159764 + 0.0253041i
\(613\) 11.9048 31.0131i 0.480832 1.25261i −0.451910 0.892064i \(-0.649257\pi\)
0.932742 0.360546i \(-0.117409\pi\)
\(614\) −22.2010 12.8178i −0.895960 0.517283i
\(615\) 7.46943 + 13.7291i 0.301197 + 0.553610i
\(616\) −1.82613 + 2.51346i −0.0735770 + 0.101270i
\(617\) −27.8481 + 18.0848i −1.12112 + 0.728065i −0.965668 0.259778i \(-0.916351\pi\)
−0.155453 + 0.987843i \(0.549684\pi\)
\(618\) −6.56320 12.8810i −0.264011 0.518150i
\(619\) −2.83899 −0.114109 −0.0570543 0.998371i \(-0.518171\pi\)
−0.0570543 + 0.998371i \(0.518171\pi\)
\(620\) −5.29687 11.2669i −0.212727 0.452490i
\(621\) 15.9150 0.638647
\(622\) −3.88767 7.62998i −0.155881 0.305934i
\(623\) 21.5050 13.9655i 0.861581 0.559517i
\(624\) 1.90128 2.61689i 0.0761122 0.104759i
\(625\) 10.2462 + 22.8038i 0.409848 + 0.912154i
\(626\) 1.48560 + 0.857714i 0.0593767 + 0.0342812i
\(627\) 0.624787 1.62763i 0.0249516 0.0650011i
\(628\) 10.9763 + 1.73847i 0.438001 + 0.0693725i
\(629\) 1.13360 2.54612i 0.0451998 0.101520i
\(630\) −9.08905 6.23534i −0.362117 0.248422i
\(631\) −3.69692 0.388562i −0.147172 0.0154684i 0.0306558 0.999530i \(-0.490240\pi\)
−0.177828 + 0.984062i \(0.556907\pi\)
\(632\) −0.460236 + 8.78184i −0.0183072 + 0.349323i
\(633\) −0.418049 7.97685i −0.0166159 0.317051i
\(634\) 9.40506 0.988512i 0.373523 0.0392588i
\(635\) −23.2948 + 6.92183i −0.924426 + 0.274685i
\(636\) −1.00743 3.10056i −0.0399473 0.122945i
\(637\) −1.00388 + 1.23969i −0.0397752 + 0.0491182i
\(638\) −7.36853 + 0.386168i −0.291723 + 0.0152886i
\(639\) −6.80625 + 6.12838i −0.269251 + 0.242435i
\(640\) 2.21719 + 0.289976i 0.0876420 + 0.0114623i
\(641\) −7.85970 36.9770i −0.310440 1.46050i −0.805992 0.591926i \(-0.798368\pi\)
0.495553 0.868578i \(-0.334966\pi\)
\(642\) 2.46277 + 6.41575i 0.0971980 + 0.253209i
\(643\) 7.00311 44.2159i 0.276176 1.74371i −0.326026 0.945361i \(-0.605710\pi\)
0.602201 0.798344i \(-0.294290\pi\)
\(644\) −7.27285 + 3.23808i −0.286590 + 0.127598i
\(645\) −2.88814 11.9850i −0.113720 0.471907i
\(646\) 2.48119 1.43251i 0.0976210 0.0563615i
\(647\) −6.45794 40.7738i −0.253888 1.60299i −0.704125 0.710076i \(-0.748661\pi\)
0.450237 0.892909i \(-0.351339\pi\)
\(648\) −0.298272 0.459299i −0.0117172 0.0180430i
\(649\) 3.51528 10.8189i 0.137987 0.424680i
\(650\) −15.6502 0.793450i −0.613850 0.0311217i
\(651\) −0.0943859 + 14.6403i −0.00369927 + 0.573798i
\(652\) −14.6173 + 14.6173i −0.572456 + 0.572456i
\(653\) 33.1037 16.8672i 1.29545 0.660063i 0.335975 0.941871i \(-0.390934\pi\)
0.959471 + 0.281808i \(0.0909341\pi\)
\(654\) −14.4546 3.07242i −0.565220 0.120141i
\(655\) 3.36434 + 25.3876i 0.131456 + 0.991974i
\(656\) −3.38616 5.86500i −0.132207 0.228990i
\(657\) 25.2902 6.77649i 0.986665 0.264376i
\(658\) 15.5602 + 5.97299i 0.606599 + 0.232851i
\(659\) 1.99850 + 2.75071i 0.0778507 + 0.107152i 0.846166 0.532919i \(-0.178905\pi\)
−0.768316 + 0.640071i \(0.778905\pi\)
\(660\) −2.54114 1.20940i −0.0989137 0.0470760i
\(661\) 1.54948 0.329351i 0.0602676 0.0128103i −0.177679 0.984088i \(-0.556859\pi\)
0.237947 + 0.971278i \(0.423526\pi\)
\(662\) −15.6941 + 12.7088i −0.609969 + 0.493943i
\(663\) −6.68094 0.350133i −0.259466 0.0135980i
\(664\) 1.03513 1.14962i 0.0401707 0.0446140i
\(665\) −7.86675 + 0.625871i −0.305059 + 0.0242702i
\(666\) −2.47959 + 0.805666i −0.0960820 + 0.0312189i
\(667\) −16.8468 8.58389i −0.652312 0.332370i
\(668\) −3.16526 2.56318i −0.122467 0.0991722i
\(669\) 15.3217 + 13.7957i 0.592372 + 0.533374i
\(670\) 0.968782 + 0.0754143i 0.0374273 + 0.00291351i
\(671\) −1.36564 + 12.9932i −0.0527198 + 0.501595i
\(672\) −2.20531 1.43214i −0.0850716 0.0552461i
\(673\) −13.0499 + 5.00940i −0.503038 + 0.193098i −0.596636 0.802512i \(-0.703496\pi\)
0.0935982 + 0.995610i \(0.470163\pi\)
\(674\) 12.9602 9.41614i 0.499209 0.362696i
\(675\) 10.3182 23.2818i 0.397149 0.896119i
\(676\) −1.58885 + 2.75197i −0.0611097 + 0.105845i
\(677\) −5.30399 + 19.7948i −0.203849 + 0.760775i 0.785948 + 0.618292i \(0.212175\pi\)
−0.989797 + 0.142483i \(0.954492\pi\)
\(678\) −12.0613 + 1.91032i −0.463210 + 0.0733652i
\(679\) 8.87597 41.7582i 0.340629 1.60253i
\(680\) −1.99457 4.17255i −0.0764883 0.160010i
\(681\) 12.4740i 0.478006i
\(682\) −1.01886 6.71262i −0.0390141 0.257040i
\(683\) −12.0755 12.0755i −0.462058 0.462058i 0.437272 0.899329i \(-0.355945\pi\)
−0.899329 + 0.437272i \(0.855945\pi\)
\(684\) −2.54894 0.828201i −0.0974612 0.0316671i
\(685\) −3.86945 + 16.1781i −0.147844 + 0.618135i
\(686\) 15.4773 + 11.2449i 0.590926 + 0.429333i
\(687\) −9.49077 2.54304i −0.362095 0.0970232i
\(688\) 1.38256 + 5.15978i 0.0527096 + 0.196715i
\(689\) −4.02654 9.04376i −0.153399 0.344540i
\(690\) −4.08969 5.93969i −0.155692 0.226120i
\(691\) 40.7893 + 18.1606i 1.55170 + 0.690860i 0.990587 0.136881i \(-0.0437079\pi\)
0.561110 + 0.827741i \(0.310375\pi\)
\(692\) −8.34270 + 12.8466i −0.317142 + 0.488356i
\(693\) −3.78281 4.67139i −0.143697 0.177451i
\(694\) −16.2809 18.0818i −0.618016 0.686377i
\(695\) −36.0792 + 0.975529i −1.36856 + 0.0370039i
\(696\) −0.652793 6.21091i −0.0247440 0.235424i
\(697\) −6.35901 + 12.4803i −0.240865 + 0.472723i
\(698\) 12.7532 25.0295i 0.482714 0.947381i
\(699\) 0.288287 + 2.74287i 0.0109040 + 0.103745i
\(700\) 0.0217082 + 12.7387i 0.000820491 + 0.481478i
\(701\) 18.4309 + 20.4696i 0.696127 + 0.773127i 0.982755 0.184915i \(-0.0592009\pi\)
−0.286628 + 0.958042i \(0.592534\pi\)
\(702\) 10.0454 + 12.4050i 0.379139 + 0.468197i
\(703\) −1.01666 + 1.56552i −0.0383441 + 0.0590447i
\(704\) 1.11401 + 0.495987i 0.0419857 + 0.0186932i
\(705\) −2.73870 + 14.8473i −0.103145 + 0.559182i
\(706\) 12.1503 + 27.2899i 0.457281 + 1.02707i
\(707\) 7.68363 + 28.6757i 0.288973 + 1.07846i
\(708\) 9.30006 + 2.49194i 0.349517 + 0.0936529i
\(709\) −18.0602 13.1215i −0.678265 0.492788i 0.194517 0.980899i \(-0.437686\pi\)
−0.872782 + 0.488111i \(0.837686\pi\)
\(710\) 10.2946 + 2.46224i 0.386350 + 0.0924064i
\(711\) −16.1814 5.25766i −0.606851 0.197178i
\(712\) −7.11668 7.11668i −0.266709 0.266709i
\(713\) 6.33946 16.2019i 0.237415 0.606765i
\(714\) 5.43855i 0.203533i
\(715\) −8.05798 2.84576i −0.301351 0.106425i
\(716\) −0.732482 + 3.44606i −0.0273741 + 0.128785i
\(717\) −19.8244 + 3.13988i −0.740356 + 0.117261i
\(718\) −7.97828 + 29.7754i −0.297747 + 1.11121i
\(719\) −25.1474 + 43.5566i −0.937841 + 1.62439i −0.168353 + 0.985727i \(0.553845\pi\)
−0.769488 + 0.638661i \(0.779489\pi\)
\(720\) −1.65219 + 3.99837i −0.0615735 + 0.149010i
\(721\) −28.8710 + 20.9760i −1.07521 + 0.781186i
\(722\) 15.9466 6.12133i 0.593471 0.227812i
\(723\) −19.5241 12.6791i −0.726109 0.471541i
\(724\) −0.416054 + 3.95849i −0.0154625 + 0.147116i
\(725\) −23.4796 + 19.0798i −0.872012 + 0.708605i
\(726\) 7.29645 + 6.56976i 0.270797 + 0.243827i
\(727\) −7.73183 6.26111i −0.286758 0.232212i 0.475138 0.879911i \(-0.342398\pi\)
−0.761896 + 0.647699i \(0.775731\pi\)
\(728\) −7.11449 3.62501i −0.263681 0.134352i
\(729\) −13.9904 + 4.54576i −0.518164 + 0.168362i
\(730\) −23.0264 19.6325i −0.852244 0.726630i
\(731\) 7.39271 8.21043i 0.273429 0.303674i
\(732\) −11.0425 0.578715i −0.408144 0.0213899i
\(733\) −25.9886 + 21.0452i −0.959912 + 0.777321i −0.974918 0.222566i \(-0.928557\pi\)
0.0150057 + 0.999887i \(0.495223\pi\)
\(734\) −13.9617 + 2.96765i −0.515336 + 0.109538i
\(735\) −0.504798 + 1.06066i −0.0186198 + 0.0391229i
\(736\) 1.83669 + 2.52799i 0.0677014 + 0.0931830i
\(737\) 0.494723 + 0.189906i 0.0182234 + 0.00699529i
\(738\) 12.6564 3.39128i 0.465889 0.124835i
\(739\) −9.95000 17.2339i −0.366017 0.633959i 0.622922 0.782284i \(-0.285945\pi\)
−0.988939 + 0.148324i \(0.952612\pi\)
\(740\) 2.39210 + 1.83228i 0.0879352 + 0.0673561i
\(741\) 4.38285 + 0.931603i 0.161008 + 0.0342233i
\(742\) −7.17051 + 3.65356i −0.263238 + 0.134126i
\(743\) 10.5280 10.5280i 0.386234 0.386234i −0.487108 0.873342i \(-0.661948\pi\)
0.873342 + 0.487108i \(0.161948\pi\)
\(744\) 5.62850 1.15850i 0.206351 0.0424727i
\(745\) 1.31143 1.24662i 0.0480470 0.0456728i
\(746\) −5.84345 + 17.9843i −0.213944 + 0.658452i
\(747\) 1.63012 + 2.51017i 0.0596431 + 0.0918423i
\(748\) −0.394544 2.49105i −0.0144259 0.0910818i
\(749\) 14.6913 8.48204i 0.536809 0.309927i
\(750\) −11.3406 + 2.13185i −0.414100 + 0.0778442i
\(751\) 7.18488 3.19892i 0.262180 0.116730i −0.271437 0.962456i \(-0.587499\pi\)
0.533617 + 0.845726i \(0.320832\pi\)
\(752\) 1.02338 6.46140i 0.0373190 0.235623i
\(753\) 0.278838 + 0.726398i 0.0101614 + 0.0264714i
\(754\) −3.94280 18.5494i −0.143588 0.675530i
\(755\) −8.40200 10.9304i −0.305780 0.397798i
\(756\) 9.64314 8.68272i 0.350717 0.315787i
\(757\) −21.8795 + 1.14665i −0.795222 + 0.0416758i −0.445620 0.895222i \(-0.647017\pi\)
−0.349602 + 0.936898i \(0.613683\pi\)
\(758\) 0.391997 0.484076i 0.0142380 0.0175824i
\(759\) −1.21529 3.74027i −0.0441122 0.135763i
\(760\) 0.882263 + 2.96918i 0.0320030 + 0.107703i
\(761\) −24.7642 + 2.60282i −0.897701 + 0.0943522i −0.542128 0.840296i \(-0.682381\pi\)
−0.355574 + 0.934648i \(0.615714\pi\)
\(762\) −0.587041 11.2014i −0.0212663 0.405784i
\(763\) −1.90914 + 36.4285i −0.0691153 + 1.31880i
\(764\) 10.1280 + 1.06449i 0.366417 + 0.0385119i
\(765\) 8.79665 1.63812i 0.318043 0.0592262i
\(766\) 12.6842 28.4891i 0.458298 1.02935i
\(767\) 28.8766 + 4.57361i 1.04268 + 0.165144i
\(768\) −0.369871 + 0.963548i −0.0133466 + 0.0347690i
\(769\) 20.2945 + 11.7170i 0.731838 + 0.422527i 0.819094 0.573659i \(-0.194477\pi\)
−0.0872565 + 0.996186i \(0.527810\pi\)
\(770\) −1.96738 + 6.66262i −0.0708996 + 0.240104i
\(771\) 4.70126 6.47073i 0.169312 0.233038i
\(772\) 21.6259 14.0440i 0.778334 0.505456i
\(773\) 13.5725 + 26.6375i 0.488169 + 0.958085i 0.995357 + 0.0962499i \(0.0306848\pi\)
−0.507189 + 0.861835i \(0.669315\pi\)
\(774\) −10.3352 −0.371489
\(775\) −19.5914 19.7782i −0.703745 0.710452i
\(776\) −16.7564 −0.601520
\(777\) −1.60867 3.15720i −0.0577108 0.113264i
\(778\) 29.7197 19.3002i 1.06550 0.691945i
\(779\) 5.51417 7.58960i 0.197566 0.271926i
\(780\) 2.04835 6.93680i 0.0733426 0.248377i
\(781\) 4.99912 + 2.88624i 0.178882 + 0.103278i
\(782\) 2.31607 6.03358i 0.0828226 0.215760i
\(783\) 30.4388 + 4.82103i 1.08779 + 0.172290i
\(784\) 0.207022 0.464979i 0.00739365 0.0166064i
\(785\) 24.4296 4.54930i 0.871931 0.162371i
\(786\) −11.7558 1.23558i −0.419315 0.0440718i
\(787\) 2.48709 47.4564i 0.0886551 1.69164i −0.486568 0.873643i \(-0.661751\pi\)
0.575223 0.817997i \(-0.304915\pi\)
\(788\) 0.157178 + 2.99914i 0.00559925 + 0.106840i
\(789\) −8.22617 + 0.864606i −0.292859 + 0.0307808i
\(790\) 5.60086 + 18.8492i 0.199270 + 0.670625i
\(791\) 9.31515 + 28.6691i 0.331209 + 1.01936i
\(792\) −1.48477 + 1.83354i −0.0527589 + 0.0651519i
\(793\) −33.5316 + 1.75732i −1.19074 + 0.0624041i
\(794\) −5.25631 + 4.73280i −0.186539 + 0.167961i
\(795\) −4.44271 5.77965i −0.157567 0.204983i
\(796\) 5.49419 + 25.8481i 0.194737 + 0.916163i
\(797\) −3.80228 9.90528i −0.134684 0.350863i 0.849608 0.527415i \(-0.176839\pi\)
−0.984291 + 0.176552i \(0.943506\pi\)
\(798\) 0.569815 3.59767i 0.0201712 0.127356i
\(799\) −12.3607 + 5.50332i −0.437289 + 0.194694i
\(800\) 4.88896 1.04789i 0.172851 0.0370486i
\(801\) 16.8637 9.73625i 0.595849 0.344014i
\(802\) 2.98364 + 18.8380i 0.105356 + 0.665192i
\(803\) −8.98763 13.8397i −0.317167 0.488394i
\(804\) −0.138598 + 0.426561i −0.00488797 + 0.0150436i
\(805\) −12.9024 + 12.2648i −0.454750 + 0.432278i
\(806\) 16.6300 5.28514i 0.585768 0.186161i
\(807\) −7.54407 + 7.54407i −0.265564 + 0.265564i
\(808\) 10.3823 5.29006i 0.365249 0.186104i
\(809\) −7.00045 1.48799i −0.246123 0.0523150i 0.0831984 0.996533i \(-0.473486\pi\)
−0.329321 + 0.944218i \(0.606820\pi\)
\(810\) −0.972164 0.744652i −0.0341584 0.0261644i
\(811\) −2.28000 3.94907i −0.0800616 0.138671i 0.823215 0.567730i \(-0.192178\pi\)
−0.903276 + 0.429060i \(0.858845\pi\)
\(812\) −14.8908 + 3.98999i −0.522566 + 0.140021i
\(813\) −30.0860 11.5489i −1.05516 0.405039i
\(814\) 0.965871 + 1.32941i 0.0338538 + 0.0465957i
\(815\) −19.8643 + 41.7379i −0.695817 + 1.46201i
\(816\) 2.08800 0.443819i 0.0730947 0.0155368i
\(817\) −5.75061 + 4.65675i −0.201188 + 0.162919i
\(818\) 27.5816 + 1.44549i 0.964367 + 0.0505403i
\(819\) 10.3372 11.4806i 0.361211 0.401166i
\(820\) −11.5235 9.82502i −0.402417 0.343104i
\(821\) 45.2310 14.6965i 1.57857 0.512910i 0.616885 0.787053i \(-0.288394\pi\)
0.961689 + 0.274144i \(0.0883944\pi\)
\(822\) −6.84109 3.48571i −0.238611 0.121578i
\(823\) 2.65415 + 2.14929i 0.0925178 + 0.0749194i 0.674463 0.738308i \(-0.264375\pi\)
−0.581946 + 0.813228i \(0.697708\pi\)
\(824\) 10.4093 + 9.37256i 0.362624 + 0.326508i
\(825\) −6.25951 0.647118i −0.217928 0.0225298i
\(826\) 2.48434 23.6369i 0.0864413 0.822434i
\(827\) −11.9959 7.79020i −0.417137 0.270892i 0.318960 0.947768i \(-0.396666\pi\)
−0.736097 + 0.676876i \(0.763333\pi\)
\(828\) −5.64416 + 2.16659i −0.196148 + 0.0752942i
\(829\) 26.9213 19.5595i 0.935015 0.679328i −0.0122007 0.999926i \(-0.503884\pi\)
0.947216 + 0.320598i \(0.103884\pi\)
\(830\) 1.32103 3.19695i 0.0458536 0.110968i
\(831\) −2.01613 + 3.49204i −0.0699387 + 0.121137i
\(832\) −0.811153 + 3.02726i −0.0281217 + 0.104951i
\(833\) −1.03975 + 0.164680i −0.0360252 + 0.00570583i
\(834\) 3.46362 16.2951i 0.119935 0.564252i
\(835\) −8.58754 3.03278i −0.297184 0.104954i
\(836\) 1.68920i 0.0584222i
\(837\) −1.66666 + 28.3086i −0.0576081 + 0.978487i
\(838\) −11.3907 11.3907i −0.393484 0.393484i
\(839\) 25.8755 + 8.40747i 0.893323 + 0.290258i 0.719478 0.694515i \(-0.244381\pi\)
0.173845 + 0.984773i \(0.444381\pi\)
\(840\) −5.71851 1.36774i −0.197307 0.0471916i
\(841\) −6.15927 4.47497i −0.212388 0.154309i
\(842\) −4.80407 1.28725i −0.165559 0.0443615i
\(843\) 7.20541 + 26.8910i 0.248167 + 0.926174i
\(844\) 3.14788 + 7.07026i 0.108355 + 0.243368i
\(845\) −1.28893 + 6.98768i −0.0443406 + 0.240383i
\(846\) 11.5629 + 5.14813i 0.397540 + 0.176996i
\(847\) 13.2002 20.3266i 0.453566 0.698430i
\(848\) 1.98785 + 2.45479i 0.0682632 + 0.0842980i
\(849\) 2.11880 + 2.35316i 0.0727169 + 0.0807603i
\(850\) −7.32485 7.29993i −0.251240 0.250386i
\(851\) 0.440145 + 4.18770i 0.0150880 + 0.143553i
\(852\) −2.21806 + 4.35319i −0.0759895 + 0.149138i
\(853\) 0.385245 0.756087i 0.0131906 0.0258879i −0.884317 0.466887i \(-0.845376\pi\)
0.897508 + 0.440999i \(0.145376\pi\)
\(854\) 2.85321 + 27.1465i 0.0976349 + 0.928934i
\(855\) −5.99073 + 0.161981i −0.204879 + 0.00553963i
\(856\) −4.45538 4.94820i −0.152282 0.169126i
\(857\) −14.5032 17.9099i −0.495419 0.611792i 0.466702 0.884415i \(-0.345442\pi\)
−0.962121 + 0.272623i \(0.912109\pi\)
\(858\) 2.14830 3.30809i 0.0733416 0.112936i
\(859\) 23.5360 + 10.4789i 0.803039 + 0.357536i 0.766864 0.641809i \(-0.221816\pi\)
0.0361750 + 0.999345i \(0.488483\pi\)
\(860\) 6.77389 + 9.83811i 0.230988 + 0.335477i
\(861\) 7.24317 + 16.2684i 0.246847 + 0.554426i
\(862\) 6.89136 + 25.7189i 0.234721 + 0.875989i
\(863\) 31.3210 + 8.39245i 1.06618 + 0.285682i 0.748923 0.662657i \(-0.230571\pi\)
0.317258 + 0.948339i \(0.397238\pi\)
\(864\) −4.12046 2.99369i −0.140181 0.101847i
\(865\) −7.96753 + 33.3122i −0.270904 + 1.13265i
\(866\) −32.9665 10.7115i −1.12025 0.363990i
\(867\) 9.28479 + 9.28479i 0.315328 + 0.315328i
\(868\) −4.99806 13.2756i −0.169645 0.450602i
\(869\) 10.7235i 0.363771i
\(870\) −6.02261 12.5990i −0.204186 0.427147i
\(871\) −0.283164 + 1.33218i −0.00959465 + 0.0451393i
\(872\) 14.1416 2.23982i 0.478897 0.0758498i
\(873\) 8.39086 31.3151i 0.283988 1.05986i
\(874\) −2.16427 + 3.74863i −0.0732076 + 0.126799i
\(875\) 9.57699 + 26.8265i 0.323761 + 0.906900i
\(876\) 11.2995 8.20955i 0.381774 0.277375i
\(877\) 5.62388 2.15880i 0.189905 0.0728977i −0.261557 0.965188i \(-0.584236\pi\)
0.451462 + 0.892290i \(0.350903\pi\)
\(878\) 12.2132 + 7.93132i 0.412174 + 0.267669i
\(879\) −2.18295 + 20.7694i −0.0736290 + 0.700533i
\(880\) 2.71851 + 0.211621i 0.0916409 + 0.00713373i
\(881\) 2.88662 + 2.59912i 0.0972527 + 0.0875667i 0.716323 0.697769i \(-0.245824\pi\)
−0.619070 + 0.785336i \(0.712490\pi\)
\(882\) 0.765307 + 0.619733i 0.0257692 + 0.0208675i
\(883\) 24.7297 + 12.6004i 0.832222 + 0.424038i 0.817553 0.575854i \(-0.195330\pi\)
0.0146697 + 0.999892i \(0.495330\pi\)
\(884\) 6.16479 2.00306i 0.207344 0.0673702i
\(885\) 21.4613 1.70744i 0.721415 0.0573951i
\(886\) 13.0579 14.5023i 0.438688 0.487213i
\(887\) 52.4005 + 2.74619i 1.75944 + 0.0922082i 0.904487 0.426502i \(-0.140254\pi\)
0.854950 + 0.518710i \(0.173588\pi\)
\(888\) −1.08085 + 0.875259i −0.0362711 + 0.0293718i
\(889\) −27.0837 + 5.75681i −0.908358 + 0.193077i
\(890\) −20.3209 9.67130i −0.681156 0.324183i
\(891\) −0.392537 0.540280i −0.0131505 0.0181001i
\(892\) −18.6494 7.15883i −0.624428 0.239695i
\(893\) 8.75334 2.34545i 0.292920 0.0784875i
\(894\) 0.417581 + 0.723271i 0.0139660 + 0.0241898i
\(895\) 1.03491 + 7.80949i 0.0345932 + 0.261043i
\(896\) 2.49207 + 0.529706i 0.0832543 + 0.0176963i
\(897\) 9.00590 4.58873i 0.300698 0.153213i
\(898\) 11.1462 11.1462i 0.371955 0.371955i
\(899\) 17.0327 29.0671i 0.568073 0.969443i
\(900\) −0.489827 + 9.66145i −0.0163276 + 0.322048i
\(901\) 2.01883 6.21332i 0.0672570 0.206996i
\(902\) −4.49784 6.92606i −0.149762 0.230613i
\(903\) −2.19734 13.8735i −0.0731230 0.461680i
\(904\) 10.2466 5.91590i 0.340798 0.196760i
\(905\) 2.08508 + 8.65252i 0.0693106 + 0.287619i
\(906\) 5.81327 2.58823i 0.193133 0.0859883i
\(907\) −0.964823 + 6.09165i −0.0320364 + 0.202270i −0.998515 0.0544772i \(-0.982651\pi\)
0.966479 + 0.256747i \(0.0826508\pi\)
\(908\) −4.33126 11.2833i −0.143738 0.374450i
\(909\) 4.68729 + 22.0520i 0.155468 + 0.731418i
\(910\) −17.7037 2.31540i −0.586873 0.0767547i
\(911\) −38.8148 + 34.9490i −1.28599 + 1.15791i −0.307517 + 0.951543i \(0.599498\pi\)
−0.978474 + 0.206369i \(0.933835\pi\)
\(912\) −1.42774 + 0.0748248i −0.0472773 + 0.00247770i
\(913\) 1.18717 1.46603i 0.0392894 0.0485184i
\(914\) −3.24865 9.99831i −0.107456 0.330715i
\(915\) −23.7016 + 7.04269i −0.783549 + 0.232824i
\(916\) 9.46783 0.995109i 0.312826 0.0328793i
\(917\) 1.52712 + 29.1392i 0.0504299 + 0.962260i
\(918\) −0.551307 + 10.5196i −0.0181959 + 0.347198i
\(919\) 33.1262 + 3.48171i 1.09273 + 0.114851i 0.633708 0.773572i \(-0.281532\pi\)
0.459026 + 0.888423i \(0.348199\pi\)
\(920\) 5.76170 + 3.95268i 0.189958 + 0.130316i
\(921\) 10.7616 24.1710i 0.354607 0.796460i
\(922\) −22.1886 3.51433i −0.730743 0.115738i
\(923\) −5.31668 + 13.8504i −0.175001 + 0.455893i
\(924\) −2.77694 1.60326i −0.0913545 0.0527435i
\(925\) 6.41149 + 2.07115i 0.210809 + 0.0680989i
\(926\) 10.5376 14.5038i 0.346288 0.476625i
\(927\) −22.7284 + 14.7600i −0.746497 + 0.484781i
\(928\) 2.74705 + 5.39138i 0.0901762 + 0.176981i
\(929\) −29.2967 −0.961193 −0.480596 0.876942i \(-0.659580\pi\)
−0.480596 + 0.876942i \(0.659580\pi\)
\(930\) 10.9934 6.65246i 0.360488 0.218143i
\(931\) 0.705062 0.0231075
\(932\) −1.21315 2.38095i −0.0397382 0.0779905i
\(933\) 7.41235 4.81363i 0.242669 0.157591i
\(934\) −10.7486 + 14.7942i −0.351705 + 0.484080i
\(935\) −2.69520 4.95387i −0.0881425 0.162009i
\(936\) −5.25130 3.03184i −0.171644 0.0990987i
\(937\) −2.94503 + 7.67206i −0.0962098 + 0.250635i −0.973236 0.229807i \(-0.926190\pi\)
0.877026 + 0.480442i \(0.159524\pi\)
\(938\) 1.09353 + 0.173198i 0.0357049 + 0.00565510i
\(939\) −0.720124 + 1.61743i −0.0235004 + 0.0527827i
\(940\) −2.67804 14.3810i −0.0873479 0.469056i
\(941\) −10.5718 1.11115i −0.344632 0.0362223i −0.0693687 0.997591i \(-0.522098\pi\)
−0.275264 + 0.961369i \(0.588765\pi\)
\(942\) −0.600283 + 11.4541i −0.0195583 + 0.373194i
\(943\) −1.10753 21.1329i −0.0360662 0.688183i
\(944\) −9.27758 + 0.975113i −0.301959 + 0.0317372i
\(945\) 13.8233 25.5111i 0.449671 0.829876i
\(946\) 2.01292 + 6.19514i 0.0654458 + 0.201421i
\(947\) 21.6952 26.7913i 0.704999 0.870602i −0.291293 0.956634i \(-0.594085\pi\)
0.996292 + 0.0860321i \(0.0274187\pi\)
\(948\) −9.06373 + 0.475010i −0.294376 + 0.0154276i
\(949\) 31.5180 28.3790i 1.02312 0.921220i
\(950\) 4.08065 + 5.59645i 0.132394 + 0.181573i
\(951\) 2.02931 + 9.54714i 0.0658048 + 0.309587i
\(952\) −1.88839 4.91941i −0.0612029 0.159439i
\(953\) −2.72031 + 17.1754i −0.0881196 + 0.556365i 0.903644 + 0.428284i \(0.140882\pi\)
−0.991764 + 0.128081i \(0.959118\pi\)
\(954\) −5.58306 + 2.48574i −0.180758 + 0.0804787i
\(955\) 22.1378 5.33478i 0.716363 0.172629i
\(956\) 16.8418 9.72363i 0.544704 0.314485i
\(957\) −1.19133 7.52174i −0.0385101 0.243143i
\(958\) 7.72329 + 11.8928i 0.249528 + 0.384240i
\(959\) −5.85682 + 18.0254i −0.189127 + 0.582072i
\(960\) −0.0584466 + 2.30710i −0.00188635 + 0.0744615i
\(961\) 28.1550 + 12.9729i 0.908225 + 0.418482i
\(962\) −2.98631 + 2.98631i −0.0962825 + 0.0962825i
\(963\) 11.4785 5.84858i 0.369889 0.188468i
\(964\) 22.0629 + 4.68961i 0.710598 + 0.151042i
\(965\) 35.0617 45.7740i 1.12868 1.47352i
\(966\) −4.10834 7.11585i −0.132184 0.228949i
\(967\) −30.8614 + 8.26929i −0.992436 + 0.265922i −0.718273 0.695761i \(-0.755067\pi\)
−0.274163 + 0.961683i \(0.588401\pi\)
\(968\) −8.88114 3.40915i −0.285451 0.109574i
\(969\) 1.73808 + 2.39226i 0.0558351 + 0.0768504i
\(970\) −35.3086 + 12.5373i −1.13369 + 0.402549i
\(971\) 14.9060 3.16838i 0.478357 0.101678i 0.0375784 0.999294i \(-0.488036\pi\)
0.440779 + 0.897616i \(0.354702\pi\)
\(972\) 12.3137 9.97143i 0.394962 0.319834i
\(973\) −41.0668 2.15222i −1.31654 0.0689970i
\(974\) 7.64566 8.49136i 0.244983 0.272081i
\(975\) −0.873966 16.1496i −0.0279893 0.517203i
\(976\) 10.1894 3.31074i 0.326155 0.105974i
\(977\) 25.1538 + 12.8165i 0.804740 + 0.410035i 0.807432 0.589961i \(-0.200857\pi\)
−0.00269196 + 0.999996i \(0.500857\pi\)
\(978\) −16.5808 13.4269i −0.530195 0.429343i
\(979\) −9.12059 8.21222i −0.291495 0.262464i
\(980\) 0.0883292 1.13469i 0.00282157 0.0362463i
\(981\) −2.89564 + 27.5502i −0.0924506 + 0.879609i
\(982\) 35.4789 + 23.0403i 1.13218 + 0.735245i
\(983\) 2.69751 1.03548i 0.0860371 0.0330266i −0.314969 0.949102i \(-0.601994\pi\)
0.401006 + 0.916075i \(0.368661\pi\)
\(984\) 5.65479 4.10845i 0.180268 0.130973i
\(985\) 2.57519 + 6.20211i 0.0820524 + 0.197616i
\(986\) 6.25741 10.8381i 0.199276 0.345157i
\(987\) −4.45226 + 16.6161i −0.141717 + 0.528895i
\(988\) −4.28796 + 0.679146i −0.136418 + 0.0216065i
\(989\) −3.47044 + 16.3271i −0.110354 + 0.519172i
\(990\) −1.75679 + 4.97450i −0.0558346 + 0.158100i
\(991\) 47.7306i 1.51621i 0.652130 + 0.758107i \(0.273875\pi\)
−0.652130 + 0.758107i \(0.726125\pi\)
\(992\) −4.68897 + 3.00226i −0.148875 + 0.0953217i
\(993\) −14.7381 14.7381i −0.467698 0.467698i
\(994\) 11.4701 + 3.72687i 0.363810 + 0.118209i
\(995\) 30.9171 + 50.3557i 0.980137 + 1.59638i
\(996\) 1.29170 + 0.938474i 0.0409290 + 0.0297367i
\(997\) 12.9607 + 3.47280i 0.410468 + 0.109985i 0.458143 0.888878i \(-0.348515\pi\)
−0.0476753 + 0.998863i \(0.515181\pi\)
\(998\) −10.1069 37.7196i −0.319929 1.19399i
\(999\) −2.79155 6.26992i −0.0883206 0.198371i
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 310.2.w.a.53.6 256
5.2 odd 4 inner 310.2.w.a.177.11 yes 256
31.24 odd 30 inner 310.2.w.a.303.11 yes 256
155.117 even 60 inner 310.2.w.a.117.6 yes 256
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
310.2.w.a.53.6 256 1.1 even 1 trivial
310.2.w.a.117.6 yes 256 155.117 even 60 inner
310.2.w.a.177.11 yes 256 5.2 odd 4 inner
310.2.w.a.303.11 yes 256 31.24 odd 30 inner