Properties

Label 930.2.bj.b.337.14
Level $930$
Weight $2$
Character 930.337
Analytic conductor $7.426$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(277,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([0, 5, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.277");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bj (of order \(20\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 337.14
Character \(\chi\) \(=\) 930.337
Dual form 930.2.bj.b.643.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.453990 - 0.891007i) q^{2} +(-0.891007 + 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(1.56858 - 1.59360i) q^{5} +1.00000i q^{6} +(-1.92087 - 0.304236i) q^{7} +(-0.987688 + 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +O(q^{10})\) \(q+(0.453990 - 0.891007i) q^{2} +(-0.891007 + 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(1.56858 - 1.59360i) q^{5} +1.00000i q^{6} +(-1.92087 - 0.304236i) q^{7} +(-0.987688 + 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +(-0.707785 - 2.12109i) q^{10} +(-0.585214 - 0.805478i) q^{11} +(0.891007 + 0.453990i) q^{12} +(-4.81848 + 2.45514i) q^{13} +(-1.14313 + 1.57339i) q^{14} +(-0.674138 + 2.13203i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(-0.502043 + 0.0795158i) q^{17} +(-0.453990 - 0.891007i) q^{18} +(-4.44347 + 1.44377i) q^{19} +(-2.21124 - 0.332316i) q^{20} +(1.84963 - 0.600980i) q^{21} +(-0.983368 + 0.155750i) q^{22} +(-1.29957 - 8.20515i) q^{23} +(0.809017 - 0.587785i) q^{24} +(-0.0791068 - 4.99937i) q^{25} +5.40791i q^{26} +(-0.156434 + 0.987688i) q^{27} +(0.882926 + 1.73284i) q^{28} +(-0.361024 - 1.11112i) q^{29} +(1.59360 + 1.56858i) q^{30} +(1.85613 + 5.24926i) q^{31} +(0.707107 + 0.707107i) q^{32} +(0.887109 + 0.452005i) q^{33} +(-0.157074 + 0.483423i) q^{34} +(-3.49787 + 2.58387i) q^{35} -1.00000 q^{36} +(1.41717 - 1.41717i) q^{37} +(-0.730884 + 4.61462i) q^{38} +(3.17869 - 4.37509i) q^{39} +(-1.29998 + 1.81936i) q^{40} +(3.88080 + 11.9439i) q^{41} +(0.304236 - 1.92087i) q^{42} +(-1.46092 + 2.86722i) q^{43} +(-0.307665 + 0.946897i) q^{44} +(-0.367259 - 2.20570i) q^{45} +(-7.90084 - 2.56714i) q^{46} +(-9.23113 + 4.70349i) q^{47} +(-0.156434 - 0.987688i) q^{48} +(-3.06022 - 0.994326i) q^{49} +(-4.49039 - 2.19918i) q^{50} +(0.411224 - 0.298772i) q^{51} +(4.81848 + 2.45514i) q^{52} +(-1.63924 - 10.3498i) q^{53} +(0.809017 + 0.587785i) q^{54} +(-2.20156 - 0.330862i) q^{55} +1.94481 q^{56} +(3.30370 - 3.30370i) q^{57} +(-1.15392 - 0.182762i) q^{58} +(-7.97882 - 2.59248i) q^{59} +(2.12109 - 0.707785i) q^{60} -7.41552i q^{61} +(5.51979 + 0.729292i) q^{62} +(-1.37519 + 1.37519i) q^{63} +(0.951057 - 0.309017i) q^{64} +(-3.64568 + 11.5298i) q^{65} +(0.805478 - 0.585214i) q^{66} +(-8.86689 - 8.86689i) q^{67} +(0.359423 + 0.359423i) q^{68} +(4.88299 + 6.72085i) q^{69} +(0.714249 + 4.28968i) q^{70} +(5.65799 + 4.11077i) q^{71} +(-0.453990 + 0.891007i) q^{72} +(-10.3475 - 1.63888i) q^{73} +(-0.619324 - 1.90608i) q^{74} +(2.34015 + 4.41856i) q^{75} +(3.77984 + 2.74621i) q^{76} +(0.879065 + 1.72526i) q^{77} +(-2.45514 - 4.81848i) q^{78} +(-9.96505 - 7.24003i) q^{79} +(1.03088 + 1.98426i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(12.4039 + 1.96459i) q^{82} +(-5.66228 + 11.1128i) q^{83} +(-1.57339 - 1.14313i) q^{84} +(-0.660779 + 0.924781i) q^{85} +(1.89147 + 2.60338i) q^{86} +(0.826113 + 0.826113i) q^{87} +(0.704014 + 0.704014i) q^{88} +(10.1817 - 7.39743i) q^{89} +(-2.13203 - 0.674138i) q^{90} +(10.0026 - 3.25005i) q^{91} +(-5.87424 + 5.87424i) q^{92} +(-4.03694 - 3.83446i) q^{93} +10.3603i q^{94} +(-4.66915 + 9.34577i) q^{95} +(-0.951057 - 0.309017i) q^{96} +(17.6083 + 2.78888i) q^{97} +(-2.27526 + 2.27526i) q^{98} -0.995626 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.453990 0.891007i 0.321020 0.630037i
\(3\) −0.891007 + 0.453990i −0.514423 + 0.262112i
\(4\) −0.587785 0.809017i −0.293893 0.404508i
\(5\) 1.56858 1.59360i 0.701491 0.712679i
\(6\) 1.00000i 0.408248i
\(7\) −1.92087 0.304236i −0.726020 0.114990i −0.217524 0.976055i \(-0.569798\pi\)
−0.508496 + 0.861065i \(0.669798\pi\)
\(8\) −0.987688 + 0.156434i −0.349201 + 0.0553079i
\(9\) 0.587785 0.809017i 0.195928 0.269672i
\(10\) −0.707785 2.12109i −0.223821 0.670749i
\(11\) −0.585214 0.805478i −0.176449 0.242861i 0.711628 0.702557i \(-0.247958\pi\)
−0.888076 + 0.459696i \(0.847958\pi\)
\(12\) 0.891007 + 0.453990i 0.257211 + 0.131056i
\(13\) −4.81848 + 2.45514i −1.33641 + 0.680933i −0.968520 0.248937i \(-0.919919\pi\)
−0.367887 + 0.929870i \(0.619919\pi\)
\(14\) −1.14313 + 1.57339i −0.305515 + 0.420505i
\(15\) −0.674138 + 2.13203i −0.174062 + 0.550487i
\(16\) −0.309017 + 0.951057i −0.0772542 + 0.237764i
\(17\) −0.502043 + 0.0795158i −0.121763 + 0.0192854i −0.217019 0.976167i \(-0.569633\pi\)
0.0952554 + 0.995453i \(0.469633\pi\)
\(18\) −0.453990 0.891007i −0.107007 0.210012i
\(19\) −4.44347 + 1.44377i −1.01940 + 0.331224i −0.770592 0.637329i \(-0.780039\pi\)
−0.248810 + 0.968552i \(0.580039\pi\)
\(20\) −2.21124 0.332316i −0.494447 0.0743080i
\(21\) 1.84963 0.600980i 0.403622 0.131145i
\(22\) −0.983368 + 0.155750i −0.209655 + 0.0332061i
\(23\) −1.29957 8.20515i −0.270979 1.71089i −0.629189 0.777252i \(-0.716613\pi\)
0.358210 0.933641i \(-0.383387\pi\)
\(24\) 0.809017 0.587785i 0.165140 0.119981i
\(25\) −0.0791068 4.99937i −0.0158214 0.999875i
\(26\) 5.40791i 1.06058i
\(27\) −0.156434 + 0.987688i −0.0301058 + 0.190081i
\(28\) 0.882926 + 1.73284i 0.166857 + 0.327476i
\(29\) −0.361024 1.11112i −0.0670406 0.206330i 0.911924 0.410358i \(-0.134596\pi\)
−0.978965 + 0.204029i \(0.934596\pi\)
\(30\) 1.59360 + 1.56858i 0.290950 + 0.286382i
\(31\) 1.85613 + 5.24926i 0.333371 + 0.942796i
\(32\) 0.707107 + 0.707107i 0.125000 + 0.125000i
\(33\) 0.887109 + 0.452005i 0.154426 + 0.0786839i
\(34\) −0.157074 + 0.483423i −0.0269379 + 0.0829063i
\(35\) −3.49787 + 2.58387i −0.591247 + 0.436754i
\(36\) −1.00000 −0.166667
\(37\) 1.41717 1.41717i 0.232981 0.232981i −0.580955 0.813936i \(-0.697321\pi\)
0.813936 + 0.580955i \(0.197321\pi\)
\(38\) −0.730884 + 4.61462i −0.118565 + 0.748590i
\(39\) 3.17869 4.37509i 0.508998 0.700575i
\(40\) −1.29998 + 1.81936i −0.205544 + 0.287666i
\(41\) 3.88080 + 11.9439i 0.606080 + 1.86532i 0.489191 + 0.872177i \(0.337292\pi\)
0.116889 + 0.993145i \(0.462708\pi\)
\(42\) 0.304236 1.92087i 0.0469446 0.296396i
\(43\) −1.46092 + 2.86722i −0.222789 + 0.437248i −0.975163 0.221488i \(-0.928909\pi\)
0.752374 + 0.658736i \(0.228909\pi\)
\(44\) −0.307665 + 0.946897i −0.0463823 + 0.142750i
\(45\) −0.367259 2.20570i −0.0547477 0.328807i
\(46\) −7.90084 2.56714i −1.16492 0.378504i
\(47\) −9.23113 + 4.70349i −1.34650 + 0.686075i −0.970625 0.240596i \(-0.922657\pi\)
−0.375873 + 0.926671i \(0.622657\pi\)
\(48\) −0.156434 0.987688i −0.0225794 0.142561i
\(49\) −3.06022 0.994326i −0.437174 0.142047i
\(50\) −4.49039 2.19918i −0.635037 0.311012i
\(51\) 0.411224 0.298772i 0.0575829 0.0418364i
\(52\) 4.81848 + 2.45514i 0.668204 + 0.340467i
\(53\) −1.63924 10.3498i −0.225167 1.42165i −0.798337 0.602211i \(-0.794286\pi\)
0.573170 0.819437i \(-0.305714\pi\)
\(54\) 0.809017 + 0.587785i 0.110093 + 0.0799874i
\(55\) −2.20156 0.330862i −0.296859 0.0446134i
\(56\) 1.94481 0.259886
\(57\) 3.30370 3.30370i 0.437586 0.437586i
\(58\) −1.15392 0.182762i −0.151517 0.0239979i
\(59\) −7.97882 2.59248i −1.03875 0.337512i −0.260508 0.965472i \(-0.583890\pi\)
−0.778246 + 0.627960i \(0.783890\pi\)
\(60\) 2.12109 0.707785i 0.273832 0.0913746i
\(61\) 7.41552i 0.949460i −0.880132 0.474730i \(-0.842546\pi\)
0.880132 0.474730i \(-0.157454\pi\)
\(62\) 5.51979 + 0.729292i 0.701015 + 0.0926202i
\(63\) −1.37519 + 1.37519i −0.173258 + 0.173258i
\(64\) 0.951057 0.309017i 0.118882 0.0386271i
\(65\) −3.64568 + 11.5298i −0.452191 + 1.43010i
\(66\) 0.805478 0.585214i 0.0991475 0.0720349i
\(67\) −8.86689 8.86689i −1.08326 1.08326i −0.996203 0.0870593i \(-0.972253\pi\)
−0.0870593 0.996203i \(-0.527747\pi\)
\(68\) 0.359423 + 0.359423i 0.0435864 + 0.0435864i
\(69\) 4.88299 + 6.72085i 0.587843 + 0.809096i
\(70\) 0.714249 + 4.28968i 0.0853691 + 0.512714i
\(71\) 5.65799 + 4.11077i 0.671480 + 0.487859i 0.870520 0.492133i \(-0.163783\pi\)
−0.199040 + 0.979991i \(0.563783\pi\)
\(72\) −0.453990 + 0.891007i −0.0535033 + 0.105006i
\(73\) −10.3475 1.63888i −1.21108 0.191816i −0.481955 0.876196i \(-0.660073\pi\)
−0.729126 + 0.684380i \(0.760073\pi\)
\(74\) −0.619324 1.90608i −0.0719949 0.221578i
\(75\) 2.34015 + 4.41856i 0.270218 + 0.510212i
\(76\) 3.77984 + 2.74621i 0.433577 + 0.315012i
\(77\) 0.879065 + 1.72526i 0.100179 + 0.196612i
\(78\) −2.45514 4.81848i −0.277990 0.545586i
\(79\) −9.96505 7.24003i −1.12116 0.814567i −0.136771 0.990603i \(-0.543673\pi\)
−0.984384 + 0.176036i \(0.943673\pi\)
\(80\) 1.03088 + 1.98426i 0.115256 + 0.221847i
\(81\) −0.309017 0.951057i −0.0343352 0.105673i
\(82\) 12.4039 + 1.96459i 1.36978 + 0.216953i
\(83\) −5.66228 + 11.1128i −0.621516 + 1.21979i 0.338795 + 0.940860i \(0.389981\pi\)
−0.960311 + 0.278933i \(0.910019\pi\)
\(84\) −1.57339 1.14313i −0.171671 0.124726i
\(85\) −0.660779 + 0.924781i −0.0716715 + 0.100307i
\(86\) 1.89147 + 2.60338i 0.203962 + 0.280730i
\(87\) 0.826113 + 0.826113i 0.0885686 + 0.0885686i
\(88\) 0.704014 + 0.704014i 0.0750481 + 0.0750481i
\(89\) 10.1817 7.39743i 1.07926 0.784126i 0.101704 0.994815i \(-0.467571\pi\)
0.977553 + 0.210688i \(0.0675706\pi\)
\(90\) −2.13203 0.674138i −0.224735 0.0710604i
\(91\) 10.0026 3.25005i 1.04856 0.340697i
\(92\) −5.87424 + 5.87424i −0.612432 + 0.612432i
\(93\) −4.03694 3.83446i −0.418611 0.397615i
\(94\) 10.3603i 1.06859i
\(95\) −4.66915 + 9.34577i −0.479045 + 0.958856i
\(96\) −0.951057 0.309017i −0.0970668 0.0315389i
\(97\) 17.6083 + 2.78888i 1.78785 + 0.283168i 0.960453 0.278443i \(-0.0898182\pi\)
0.827401 + 0.561611i \(0.189818\pi\)
\(98\) −2.27526 + 2.27526i −0.229836 + 0.229836i
\(99\) −0.995626 −0.100064
\(100\) −3.99808 + 3.00256i −0.399808 + 0.300256i
\(101\) 3.67545 + 2.67037i 0.365721 + 0.265712i 0.755434 0.655225i \(-0.227426\pi\)
−0.389714 + 0.920936i \(0.627426\pi\)
\(102\) −0.0795158 0.502043i −0.00787323 0.0497096i
\(103\) 1.57999 + 0.805045i 0.155681 + 0.0793235i 0.530095 0.847938i \(-0.322156\pi\)
−0.374414 + 0.927262i \(0.622156\pi\)
\(104\) 4.37509 3.17869i 0.429013 0.311696i
\(105\) 1.94357 3.89025i 0.189673 0.379649i
\(106\) −9.96590 3.23812i −0.967974 0.314514i
\(107\) 0.166520 + 1.05137i 0.0160981 + 0.101639i 0.994429 0.105408i \(-0.0336147\pi\)
−0.978331 + 0.207047i \(0.933615\pi\)
\(108\) 0.891007 0.453990i 0.0857371 0.0436853i
\(109\) 17.8163 + 5.78886i 1.70649 + 0.554472i 0.989743 0.142861i \(-0.0456303\pi\)
0.716747 + 0.697333i \(0.245630\pi\)
\(110\) −1.29429 + 1.81140i −0.123406 + 0.172710i
\(111\) −0.619324 + 1.90608i −0.0587836 + 0.180917i
\(112\) 0.882926 1.73284i 0.0834287 0.163738i
\(113\) 0.954049 6.02363i 0.0897494 0.566656i −0.901304 0.433188i \(-0.857389\pi\)
0.991053 0.133468i \(-0.0426113\pi\)
\(114\) −1.44377 4.44347i −0.135221 0.416169i
\(115\) −15.1142 10.7995i −1.40941 1.00705i
\(116\) −0.686709 + 0.945174i −0.0637594 + 0.0877572i
\(117\) −0.845984 + 5.34133i −0.0782112 + 0.493806i
\(118\) −5.93222 + 5.93222i −0.546105 + 0.546105i
\(119\) 0.988549 0.0906202
\(120\) 0.332316 2.21124i 0.0303361 0.201857i
\(121\) 3.09287 9.51887i 0.281170 0.865351i
\(122\) −6.60728 3.36658i −0.598195 0.304795i
\(123\) −8.88023 8.88023i −0.800704 0.800704i
\(124\) 3.15574 4.58708i 0.283394 0.411932i
\(125\) −8.09108 7.71586i −0.723688 0.690127i
\(126\) 0.600980 + 1.84963i 0.0535396 + 0.164778i
\(127\) 2.24723 + 4.41043i 0.199409 + 0.391363i 0.968958 0.247225i \(-0.0795188\pi\)
−0.769549 + 0.638588i \(0.779519\pi\)
\(128\) 0.156434 0.987688i 0.0138270 0.0873001i
\(129\) 3.21796i 0.283326i
\(130\) 8.61804 + 8.48275i 0.755852 + 0.743986i
\(131\) 7.43009 5.39828i 0.649170 0.471650i −0.213818 0.976873i \(-0.568590\pi\)
0.862988 + 0.505224i \(0.168590\pi\)
\(132\) −0.155750 0.983368i −0.0135563 0.0855912i
\(133\) 8.97456 1.42143i 0.778193 0.123254i
\(134\) −11.9259 + 3.87497i −1.03024 + 0.334747i
\(135\) 1.32860 + 1.79856i 0.114347 + 0.154796i
\(136\) 0.483423 0.157074i 0.0414532 0.0134689i
\(137\) −1.29526 2.54209i −0.110662 0.217186i 0.829033 0.559199i \(-0.188891\pi\)
−0.939695 + 0.342013i \(0.888891\pi\)
\(138\) 8.20515 1.29957i 0.698469 0.110627i
\(139\) 6.32544 19.4677i 0.536517 1.65123i −0.203832 0.979006i \(-0.565340\pi\)
0.740349 0.672223i \(-0.234660\pi\)
\(140\) 4.14639 + 1.31107i 0.350434 + 0.110806i
\(141\) 6.08965 8.38169i 0.512841 0.705865i
\(142\) 6.23140 3.17505i 0.522927 0.266445i
\(143\) 4.79741 + 2.44440i 0.401180 + 0.204411i
\(144\) 0.587785 + 0.809017i 0.0489821 + 0.0674181i
\(145\) −2.33697 1.16755i −0.194075 0.0969600i
\(146\) −6.15791 + 8.47564i −0.509632 + 0.701449i
\(147\) 3.17809 0.503360i 0.262124 0.0415164i
\(148\) −1.97950 0.313522i −0.162714 0.0257713i
\(149\) 12.3400i 1.01094i 0.862846 + 0.505468i \(0.168680\pi\)
−0.862846 + 0.505468i \(0.831320\pi\)
\(150\) 4.99937 0.0791068i 0.408197 0.00645904i
\(151\) −6.65413 9.15863i −0.541506 0.745319i 0.447323 0.894372i \(-0.352377\pi\)
−0.988829 + 0.149054i \(0.952377\pi\)
\(152\) 4.16291 2.12111i 0.337656 0.172044i
\(153\) −0.230764 + 0.452899i −0.0186561 + 0.0366147i
\(154\) 1.93631 0.156032
\(155\) 11.2767 + 5.27597i 0.905767 + 0.423776i
\(156\) −5.40791 −0.432979
\(157\) 7.38584 14.4955i 0.589454 1.15687i −0.382994 0.923751i \(-0.625107\pi\)
0.972448 0.233118i \(-0.0748929\pi\)
\(158\) −10.9750 + 5.59202i −0.873120 + 0.444877i
\(159\) 6.15926 + 8.47750i 0.488461 + 0.672309i
\(160\) 2.23600 0.0176894i 0.176771 0.00139847i
\(161\) 16.1564i 1.27330i
\(162\) −0.987688 0.156434i −0.0776001 0.0122907i
\(163\) −2.47733 + 0.392370i −0.194039 + 0.0307328i −0.252698 0.967545i \(-0.581318\pi\)
0.0586583 + 0.998278i \(0.481318\pi\)
\(164\) 7.38173 10.1601i 0.576416 0.793369i
\(165\) 2.11182 0.704689i 0.164405 0.0548600i
\(166\) 7.33100 + 10.0903i 0.568996 + 0.783155i
\(167\) 5.11534 + 2.60640i 0.395837 + 0.201689i 0.640567 0.767902i \(-0.278699\pi\)
−0.244730 + 0.969591i \(0.578699\pi\)
\(168\) −1.73284 + 0.882926i −0.133692 + 0.0681192i
\(169\) 9.54887 13.1429i 0.734528 1.01099i
\(170\) 0.523999 + 1.00860i 0.0401889 + 0.0773561i
\(171\) −1.44377 + 4.44347i −0.110408 + 0.339801i
\(172\) 3.17834 0.503400i 0.242346 0.0383839i
\(173\) −5.05762 9.92613i −0.384523 0.754670i 0.614901 0.788605i \(-0.289196\pi\)
−0.999424 + 0.0339349i \(0.989196\pi\)
\(174\) 1.11112 0.361024i 0.0842337 0.0273692i
\(175\) −1.36903 + 9.62721i −0.103489 + 0.727748i
\(176\) 0.946897 0.307665i 0.0713750 0.0231912i
\(177\) 8.28614 1.31240i 0.622824 0.0986457i
\(178\) −1.96877 12.4303i −0.147565 0.931692i
\(179\) −5.61889 + 4.08236i −0.419976 + 0.305130i −0.777628 0.628725i \(-0.783577\pi\)
0.357652 + 0.933855i \(0.383577\pi\)
\(180\) −1.56858 + 1.59360i −0.116915 + 0.118780i
\(181\) 8.42055i 0.625894i 0.949771 + 0.312947i \(0.101316\pi\)
−0.949771 + 0.312947i \(0.898684\pi\)
\(182\) 1.64528 10.3879i 0.121956 0.770001i
\(183\) 3.36658 + 6.60728i 0.248864 + 0.488424i
\(184\) 2.56714 + 7.90084i 0.189252 + 0.582458i
\(185\) −0.0354526 4.48133i −0.00260653 0.329474i
\(186\) −5.24926 + 1.85613i −0.384895 + 0.136098i
\(187\) 0.357851 + 0.357851i 0.0261686 + 0.0261686i
\(188\) 9.23113 + 4.70349i 0.673249 + 0.343038i
\(189\) 0.600980 1.84963i 0.0437149 0.134541i
\(190\) 6.20739 + 8.40314i 0.450332 + 0.609628i
\(191\) −4.35439 −0.315072 −0.157536 0.987513i \(-0.550355\pi\)
−0.157536 + 0.987513i \(0.550355\pi\)
\(192\) −0.707107 + 0.707107i −0.0510310 + 0.0510310i
\(193\) −0.620116 + 3.91526i −0.0446370 + 0.281827i −0.999903 0.0139209i \(-0.995569\pi\)
0.955266 + 0.295748i \(0.0955687\pi\)
\(194\) 10.4789 14.4230i 0.752343 1.03551i
\(195\) −1.98610 11.9282i −0.142228 0.854199i
\(196\) 0.994326 + 3.06022i 0.0710233 + 0.218587i
\(197\) 3.20267 20.2208i 0.228180 1.44067i −0.561663 0.827366i \(-0.689838\pi\)
0.789843 0.613309i \(-0.210162\pi\)
\(198\) −0.452005 + 0.887109i −0.0321226 + 0.0630441i
\(199\) 3.68657 11.3461i 0.261334 0.804304i −0.731181 0.682184i \(-0.761031\pi\)
0.992515 0.122121i \(-0.0389695\pi\)
\(200\) 0.860207 + 4.92545i 0.0608258 + 0.348282i
\(201\) 11.9259 + 3.87497i 0.841191 + 0.273319i
\(202\) 4.04793 2.06253i 0.284812 0.145119i
\(203\) 0.355438 + 2.24415i 0.0249469 + 0.157508i
\(204\) −0.483423 0.157074i −0.0338464 0.0109973i
\(205\) 25.1211 + 12.5505i 1.75453 + 0.876566i
\(206\) 1.43460 1.04230i 0.0999534 0.0726204i
\(207\) −7.40198 3.77150i −0.514473 0.262137i
\(208\) −0.845984 5.34133i −0.0586584 0.370355i
\(209\) 3.76331 + 2.73420i 0.260313 + 0.189129i
\(210\) −2.58387 3.49787i −0.178304 0.241376i
\(211\) 13.2418 0.911603 0.455801 0.890082i \(-0.349353\pi\)
0.455801 + 0.890082i \(0.349353\pi\)
\(212\) −7.40961 + 7.40961i −0.508894 + 0.508894i
\(213\) −6.90756 1.09405i −0.473298 0.0749630i
\(214\) 1.01237 + 0.328940i 0.0692044 + 0.0224859i
\(215\) 2.27762 + 6.82560i 0.155333 + 0.465502i
\(216\) 1.00000i 0.0680414i
\(217\) −1.96837 10.6478i −0.133622 0.722823i
\(218\) 13.2463 13.2463i 0.897155 0.897155i
\(219\) 9.96371 3.23741i 0.673285 0.218764i
\(220\) 1.02637 + 1.97558i 0.0691981 + 0.133194i
\(221\) 2.22386 1.61573i 0.149593 0.108686i
\(222\) 1.41717 + 1.41717i 0.0951139 + 0.0951139i
\(223\) −8.54215 8.54215i −0.572025 0.572025i 0.360669 0.932694i \(-0.382548\pi\)
−0.932694 + 0.360669i \(0.882548\pi\)
\(224\) −1.14313 1.57339i −0.0763787 0.105126i
\(225\) −4.09108 2.87456i −0.272738 0.191637i
\(226\) −4.93397 3.58474i −0.328202 0.238453i
\(227\) −7.72339 + 15.1580i −0.512619 + 1.00607i 0.479114 + 0.877753i \(0.340958\pi\)
−0.991733 + 0.128319i \(0.959042\pi\)
\(228\) −4.61462 0.730884i −0.305610 0.0484039i
\(229\) 2.71847 + 8.36660i 0.179642 + 0.552881i 0.999815 0.0192346i \(-0.00612295\pi\)
−0.820173 + 0.572115i \(0.806123\pi\)
\(230\) −16.4841 + 8.56399i −1.08693 + 0.564693i
\(231\) −1.56650 1.13813i −0.103068 0.0748836i
\(232\) 0.530397 + 1.04096i 0.0348223 + 0.0683426i
\(233\) 7.19715 + 14.1252i 0.471501 + 0.925373i 0.997206 + 0.0747055i \(0.0238017\pi\)
−0.525705 + 0.850667i \(0.676198\pi\)
\(234\) 4.37509 + 3.17869i 0.286009 + 0.207798i
\(235\) −6.98429 + 22.0885i −0.455605 + 1.44090i
\(236\) 2.59248 + 7.97882i 0.168756 + 0.519377i
\(237\) 12.1658 + 1.92688i 0.790255 + 0.125164i
\(238\) 0.448792 0.880804i 0.0290909 0.0570940i
\(239\) 1.77337 + 1.28843i 0.114710 + 0.0833415i 0.643661 0.765311i \(-0.277415\pi\)
−0.528951 + 0.848652i \(0.677415\pi\)
\(240\) −1.81936 1.29998i −0.117439 0.0839131i
\(241\) −9.80183 13.4911i −0.631391 0.869035i 0.366729 0.930328i \(-0.380478\pi\)
−0.998120 + 0.0612926i \(0.980478\pi\)
\(242\) −7.07724 7.07724i −0.454942 0.454942i
\(243\) 0.707107 + 0.707107i 0.0453609 + 0.0453609i
\(244\) −5.99928 + 4.35873i −0.384065 + 0.279039i
\(245\) −6.38476 + 3.31708i −0.407907 + 0.211920i
\(246\) −11.9439 + 3.88080i −0.761514 + 0.247431i
\(247\) 17.8661 17.8661i 1.13679 1.13679i
\(248\) −2.65444 4.89427i −0.168557 0.310787i
\(249\) 12.4722i 0.790396i
\(250\) −10.5482 + 3.70627i −0.667124 + 0.234405i
\(251\) −16.3728 5.31985i −1.03344 0.335786i −0.257293 0.966334i \(-0.582830\pi\)
−0.776151 + 0.630548i \(0.782830\pi\)
\(252\) 1.92087 + 0.304236i 0.121003 + 0.0191650i
\(253\) −5.84855 + 5.84855i −0.367695 + 0.367695i
\(254\) 4.94994 0.310587
\(255\) 0.168916 1.12397i 0.0105779 0.0703859i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 0.181858 + 1.14821i 0.0113440 + 0.0716233i 0.992711 0.120520i \(-0.0384562\pi\)
−0.981367 + 0.192143i \(0.938456\pi\)
\(258\) −2.86722 1.46092i −0.178506 0.0909531i
\(259\) −3.15334 + 2.29104i −0.195939 + 0.142358i
\(260\) 11.4707 3.82764i 0.711382 0.237380i
\(261\) −1.11112 0.361024i −0.0687765 0.0223469i
\(262\) −1.43671 9.07102i −0.0887602 0.560410i
\(263\) 16.3602 8.33592i 1.00881 0.514015i 0.130167 0.991492i \(-0.458449\pi\)
0.878644 + 0.477477i \(0.158449\pi\)
\(264\) −0.946897 0.307665i −0.0582775 0.0189355i
\(265\) −19.0646 13.6221i −1.17113 0.836801i
\(266\) 2.80786 8.64171i 0.172161 0.529857i
\(267\) −5.71359 + 11.2136i −0.349666 + 0.686258i
\(268\) −1.96164 + 12.3853i −0.119826 + 0.756552i
\(269\) 4.71674 + 14.5166i 0.287585 + 0.885094i 0.985612 + 0.169023i \(0.0540613\pi\)
−0.698027 + 0.716071i \(0.745939\pi\)
\(270\) 2.20570 0.367259i 0.134235 0.0223507i
\(271\) 5.63803 7.76008i 0.342486 0.471391i −0.602680 0.797983i \(-0.705900\pi\)
0.945165 + 0.326592i \(0.105900\pi\)
\(272\) 0.0795158 0.502043i 0.00482135 0.0304408i
\(273\) −7.43691 + 7.43691i −0.450102 + 0.450102i
\(274\) −2.85306 −0.172360
\(275\) −3.98059 + 2.98942i −0.240039 + 0.180269i
\(276\) 2.56714 7.90084i 0.154524 0.475575i
\(277\) −22.1773 11.2999i −1.33250 0.678944i −0.364811 0.931082i \(-0.618866\pi\)
−0.967691 + 0.252138i \(0.918866\pi\)
\(278\) −14.4742 14.4742i −0.868102 0.868102i
\(279\) 5.33775 + 1.58380i 0.319563 + 0.0948196i
\(280\) 3.05060 3.09925i 0.182308 0.185216i
\(281\) −2.45486 7.55529i −0.146445 0.450711i 0.850749 0.525572i \(-0.176149\pi\)
−0.997194 + 0.0748610i \(0.976149\pi\)
\(282\) −4.70349 9.23113i −0.280089 0.549706i
\(283\) 1.65835 10.4704i 0.0985786 0.622401i −0.888091 0.459667i \(-0.847969\pi\)
0.986670 0.162734i \(-0.0520312\pi\)
\(284\) 6.99366i 0.414997i
\(285\) −0.0826472 10.4469i −0.00489560 0.618821i
\(286\) 4.35596 3.16479i 0.257573 0.187138i
\(287\) −3.82076 24.1233i −0.225532 1.42395i
\(288\) 0.987688 0.156434i 0.0582001 0.00921799i
\(289\) −15.9222 + 5.17345i −0.936602 + 0.304320i
\(290\) −2.10126 + 1.55220i −0.123390 + 0.0911483i
\(291\) −16.9553 + 5.50910i −0.993935 + 0.322949i
\(292\) 4.75621 + 9.33460i 0.278336 + 0.546266i
\(293\) −26.7168 + 4.23152i −1.56081 + 0.247208i −0.876289 0.481785i \(-0.839988\pi\)
−0.684521 + 0.728993i \(0.739988\pi\)
\(294\) 0.994326 3.06022i 0.0579902 0.178476i
\(295\) −16.6468 + 8.64852i −0.969214 + 0.503536i
\(296\) −1.17802 + 1.62141i −0.0684713 + 0.0942426i
\(297\) 0.887109 0.452005i 0.0514753 0.0262280i
\(298\) 10.9951 + 5.60226i 0.636926 + 0.324530i
\(299\) 26.4068 + 36.3458i 1.52714 + 2.10193i
\(300\) 2.19918 4.49039i 0.126970 0.259253i
\(301\) 3.67855 5.06309i 0.212028 0.291832i
\(302\) −11.1813 + 1.77095i −0.643412 + 0.101906i
\(303\) −4.48717 0.710698i −0.257781 0.0408285i
\(304\) 4.67214i 0.267966i
\(305\) −11.8174 11.6318i −0.676660 0.666037i
\(306\) 0.298772 + 0.411224i 0.0170796 + 0.0235081i
\(307\) −19.7595 + 10.0680i −1.12774 + 0.574611i −0.915384 0.402582i \(-0.868113\pi\)
−0.212353 + 0.977193i \(0.568113\pi\)
\(308\) 0.879065 1.72526i 0.0500894 0.0983059i
\(309\) −1.77326 −0.100878
\(310\) 9.82044 7.65238i 0.557764 0.434626i
\(311\) 14.2043 0.805450 0.402725 0.915321i \(-0.368063\pi\)
0.402725 + 0.915321i \(0.368063\pi\)
\(312\) −2.45514 + 4.81848i −0.138995 + 0.272793i
\(313\) −7.89936 + 4.02493i −0.446499 + 0.227502i −0.662758 0.748834i \(-0.730614\pi\)
0.216260 + 0.976336i \(0.430614\pi\)
\(314\) −9.56251 13.1617i −0.539643 0.742755i
\(315\) 0.0344025 + 4.34860i 0.00193836 + 0.245016i
\(316\) 12.3175i 0.692912i
\(317\) −24.0874 3.81507i −1.35288 0.214276i −0.562455 0.826828i \(-0.690143\pi\)
−0.790430 + 0.612552i \(0.790143\pi\)
\(318\) 10.3498 1.63924i 0.580385 0.0919240i
\(319\) −0.683706 + 0.941040i −0.0382802 + 0.0526881i
\(320\) 0.999361 2.00032i 0.0558660 0.111821i
\(321\) −0.625681 0.861176i −0.0349221 0.0480662i
\(322\) 14.3955 + 7.33485i 0.802227 + 0.408755i
\(323\) 2.11601 1.07816i 0.117738 0.0599904i
\(324\) −0.587785 + 0.809017i −0.0326547 + 0.0449454i
\(325\) 12.6553 + 23.8952i 0.701992 + 1.32547i
\(326\) −0.775079 + 2.38545i −0.0429276 + 0.132118i
\(327\) −18.5025 + 2.93051i −1.02319 + 0.162057i
\(328\) −5.70146 11.1897i −0.314811 0.617850i
\(329\) 19.1627 6.22635i 1.05648 0.343270i
\(330\) 0.330862 2.20156i 0.0182134 0.121192i
\(331\) 4.87160 1.58288i 0.267767 0.0870028i −0.172056 0.985087i \(-0.555041\pi\)
0.439823 + 0.898084i \(0.355041\pi\)
\(332\) 12.3187 1.95109i 0.676076 0.107080i
\(333\) −0.313522 1.97950i −0.0171809 0.108476i
\(334\) 4.64463 3.37452i 0.254143 0.184646i
\(335\) −28.0387 + 0.221819i −1.53192 + 0.0121193i
\(336\) 1.94481i 0.106098i
\(337\) −5.22000 + 32.9578i −0.284351 + 1.79532i 0.269809 + 0.962914i \(0.413039\pi\)
−0.554161 + 0.832410i \(0.686961\pi\)
\(338\) −7.37531 14.4749i −0.401164 0.787328i
\(339\) 1.88461 + 5.80022i 0.102358 + 0.315025i
\(340\) 1.13656 0.00899152i 0.0616386 0.000487634i
\(341\) 3.14194 4.56702i 0.170145 0.247318i
\(342\) 3.30370 + 3.30370i 0.178644 + 0.178644i
\(343\) 17.7057 + 9.02148i 0.956015 + 0.487114i
\(344\) 0.994404 3.06046i 0.0536147 0.165009i
\(345\) 18.3697 + 2.76069i 0.988991 + 0.148631i
\(346\) −11.1404 −0.598909
\(347\) 15.7258 15.7258i 0.844208 0.844208i −0.145195 0.989403i \(-0.546381\pi\)
0.989403 + 0.145195i \(0.0463810\pi\)
\(348\) 0.182762 1.15392i 0.00979709 0.0618564i
\(349\) 8.46646 11.6531i 0.453199 0.623775i −0.519882 0.854238i \(-0.674024\pi\)
0.973081 + 0.230463i \(0.0740241\pi\)
\(350\) 7.95638 + 5.59048i 0.425286 + 0.298824i
\(351\) −1.67114 5.14323i −0.0891987 0.274525i
\(352\) 0.155750 0.983368i 0.00830152 0.0524137i
\(353\) 8.62611 16.9297i 0.459121 0.901077i −0.539145 0.842213i \(-0.681252\pi\)
0.998266 0.0588634i \(-0.0187476\pi\)
\(354\) 2.59248 7.97882i 0.137789 0.424069i
\(355\) 15.4259 2.56848i 0.818723 0.136321i
\(356\) −11.9693 3.88906i −0.634371 0.206120i
\(357\) −0.880804 + 0.448792i −0.0466171 + 0.0237526i
\(358\) 1.08649 + 6.85982i 0.0574227 + 0.362553i
\(359\) 19.5957 + 6.36702i 1.03422 + 0.336039i 0.776457 0.630170i \(-0.217015\pi\)
0.257763 + 0.966208i \(0.417015\pi\)
\(360\) 0.707785 + 2.12109i 0.0373035 + 0.111791i
\(361\) 2.28861 1.66278i 0.120453 0.0875145i
\(362\) 7.50276 + 3.82285i 0.394336 + 0.200924i
\(363\) 1.56571 + 9.88550i 0.0821785 + 0.518854i
\(364\) −8.50873 6.18196i −0.445979 0.324023i
\(365\) −18.8426 + 13.9190i −0.986266 + 0.728554i
\(366\) 7.41552 0.387615
\(367\) 12.9035 12.9035i 0.673555 0.673555i −0.284979 0.958534i \(-0.591987\pi\)
0.958534 + 0.284979i \(0.0919866\pi\)
\(368\) 8.20515 + 1.29957i 0.427723 + 0.0677447i
\(369\) 11.9439 + 3.88080i 0.621774 + 0.202027i
\(370\) −4.00899 2.00289i −0.208417 0.104125i
\(371\) 20.3792i 1.05804i
\(372\) −0.729292 + 5.51979i −0.0378121 + 0.286188i
\(373\) −3.86150 + 3.86150i −0.199941 + 0.199941i −0.799975 0.600034i \(-0.795154\pi\)
0.600034 + 0.799975i \(0.295154\pi\)
\(374\) 0.481308 0.156387i 0.0248879 0.00808656i
\(375\) 10.7121 + 3.20161i 0.553172 + 0.165330i
\(376\) 8.38169 6.08965i 0.432252 0.314050i
\(377\) 4.46754 + 4.46754i 0.230090 + 0.230090i
\(378\) −1.37519 1.37519i −0.0707321 0.0707321i
\(379\) 8.42501 + 11.5960i 0.432764 + 0.595648i 0.968585 0.248683i \(-0.0799978\pi\)
−0.535821 + 0.844332i \(0.679998\pi\)
\(380\) 10.3053 1.71588i 0.528653 0.0880230i
\(381\) −4.00459 2.90950i −0.205161 0.149058i
\(382\) −1.97685 + 3.87979i −0.101144 + 0.198507i
\(383\) 0.164037 + 0.0259809i 0.00838190 + 0.00132756i 0.160624 0.987016i \(-0.448649\pi\)
−0.152242 + 0.988343i \(0.548649\pi\)
\(384\) 0.309017 + 0.951057i 0.0157695 + 0.0485334i
\(385\) 4.12826 + 1.30534i 0.210395 + 0.0665261i
\(386\) 3.20700 + 2.33002i 0.163232 + 0.118595i
\(387\) 1.46092 + 2.86722i 0.0742629 + 0.145749i
\(388\) −8.09366 15.8847i −0.410893 0.806423i
\(389\) 23.0939 + 16.7787i 1.17091 + 0.850713i 0.991117 0.132992i \(-0.0424585\pi\)
0.179789 + 0.983705i \(0.442459\pi\)
\(390\) −11.5298 3.64568i −0.583835 0.184606i
\(391\) 1.30488 + 4.01600i 0.0659905 + 0.203098i
\(392\) 3.17809 + 0.503360i 0.160518 + 0.0254235i
\(393\) −4.16949 + 8.18309i −0.210323 + 0.412782i
\(394\) −16.5629 12.0337i −0.834428 0.606247i
\(395\) −27.1687 + 4.52370i −1.36700 + 0.227612i
\(396\) 0.585214 + 0.805478i 0.0294081 + 0.0404768i
\(397\) −4.17525 4.17525i −0.209550 0.209550i 0.594526 0.804076i \(-0.297340\pi\)
−0.804076 + 0.594526i \(0.797340\pi\)
\(398\) −8.43579 8.43579i −0.422848 0.422848i
\(399\) −7.35108 + 5.34087i −0.368014 + 0.267378i
\(400\) 4.77913 + 1.46966i 0.238957 + 0.0734828i
\(401\) −2.36226 + 0.767546i −0.117966 + 0.0383294i −0.367405 0.930061i \(-0.619754\pi\)
0.249439 + 0.968390i \(0.419754\pi\)
\(402\) 8.86689 8.86689i 0.442240 0.442240i
\(403\) −21.8314 20.7364i −1.08750 1.03296i
\(404\) 4.54310i 0.226028i
\(405\) −2.00032 0.999361i −0.0993967 0.0496586i
\(406\) 2.16092 + 0.702125i 0.107245 + 0.0348459i
\(407\) −1.97084 0.312151i −0.0976910 0.0154727i
\(408\) −0.359423 + 0.359423i −0.0177941 + 0.0177941i
\(409\) −25.6015 −1.26591 −0.632956 0.774188i \(-0.718159\pi\)
−0.632956 + 0.774188i \(0.718159\pi\)
\(410\) 22.5873 16.6853i 1.11551 0.824026i
\(411\) 2.30817 + 1.67699i 0.113854 + 0.0827196i
\(412\) −0.277400 1.75143i −0.0136665 0.0862869i
\(413\) 14.5375 + 7.40725i 0.715346 + 0.364487i
\(414\) −6.72085 + 4.88299i −0.330312 + 0.239986i
\(415\) 8.82766 + 26.4548i 0.433333 + 1.29861i
\(416\) −5.14323 1.67114i −0.252168 0.0819342i
\(417\) 3.20214 + 20.2175i 0.156810 + 0.990057i
\(418\) 4.14470 2.11183i 0.202724 0.103293i
\(419\) −27.7335 9.01115i −1.35487 0.440224i −0.460542 0.887638i \(-0.652345\pi\)
−0.894327 + 0.447414i \(0.852345\pi\)
\(420\) −4.28968 + 0.714249i −0.209315 + 0.0348518i
\(421\) −2.05309 + 6.31876i −0.100061 + 0.307957i −0.988540 0.150961i \(-0.951763\pi\)
0.888478 + 0.458919i \(0.151763\pi\)
\(422\) 6.01165 11.7985i 0.292642 0.574343i
\(423\) −1.62071 + 10.2328i −0.0788018 + 0.497535i
\(424\) 3.23812 + 9.96590i 0.157257 + 0.483987i
\(425\) 0.437244 + 2.50361i 0.0212094 + 0.121443i
\(426\) −4.11077 + 5.65799i −0.199167 + 0.274130i
\(427\) −2.25607 + 14.2442i −0.109179 + 0.689327i
\(428\) 0.752696 0.752696i 0.0363829 0.0363829i
\(429\) −5.38426 −0.259954
\(430\) 7.11567 + 1.06938i 0.343148 + 0.0515700i
\(431\) −1.59895 + 4.92107i −0.0770188 + 0.237040i −0.982152 0.188088i \(-0.939771\pi\)
0.905133 + 0.425128i \(0.139771\pi\)
\(432\) −0.891007 0.453990i −0.0428686 0.0218426i
\(433\) 26.0219 + 26.0219i 1.25053 + 1.25053i 0.955481 + 0.295051i \(0.0953367\pi\)
0.295051 + 0.955481i \(0.404663\pi\)
\(434\) −10.3809 3.08019i −0.498300 0.147854i
\(435\) 2.61232 0.0206665i 0.125251 0.000990882i
\(436\) −5.78886 17.8163i −0.277236 0.853245i
\(437\) 17.6210 + 34.5831i 0.842924 + 1.65433i
\(438\) 1.63888 10.3475i 0.0783087 0.494422i
\(439\) 10.5738i 0.504658i −0.967642 0.252329i \(-0.918804\pi\)
0.967642 0.252329i \(-0.0811965\pi\)
\(440\) 2.22622 0.0176120i 0.106131 0.000839619i
\(441\) −2.60318 + 1.89132i −0.123961 + 0.0900628i
\(442\) −0.430014 2.71500i −0.0204537 0.129139i
\(443\) −23.9721 + 3.79681i −1.13895 + 0.180392i −0.697289 0.716790i \(-0.745611\pi\)
−0.441661 + 0.897182i \(0.645611\pi\)
\(444\) 1.90608 0.619324i 0.0904587 0.0293918i
\(445\) 4.18228 27.8290i 0.198259 1.31922i
\(446\) −11.4892 + 3.73306i −0.544028 + 0.176765i
\(447\) −5.60226 10.9951i −0.264978 0.520048i
\(448\) −1.92087 + 0.304236i −0.0907525 + 0.0143738i
\(449\) 1.32823 4.08787i 0.0626830 0.192918i −0.914811 0.403883i \(-0.867660\pi\)
0.977494 + 0.210964i \(0.0676604\pi\)
\(450\) −4.41856 + 2.34015i −0.208293 + 0.110316i
\(451\) 7.34944 10.1156i 0.346072 0.476327i
\(452\) −5.43400 + 2.76876i −0.255594 + 0.130231i
\(453\) 10.0868 + 5.13949i 0.473920 + 0.241474i
\(454\) 9.99953 + 13.7632i 0.469301 + 0.645938i
\(455\) 10.5106 21.0381i 0.492747 0.986282i
\(456\) −2.74621 + 3.77984i −0.128603 + 0.177007i
\(457\) −28.4430 + 4.50493i −1.33051 + 0.210732i −0.780881 0.624680i \(-0.785230\pi\)
−0.549626 + 0.835411i \(0.685230\pi\)
\(458\) 8.68886 + 1.37618i 0.406004 + 0.0643047i
\(459\) 0.508301i 0.0237254i
\(460\) 0.146953 + 18.5754i 0.00685173 + 0.866083i
\(461\) −17.3589 23.8925i −0.808485 1.11278i −0.991555 0.129684i \(-0.958604\pi\)
0.183071 0.983100i \(-0.441396\pi\)
\(462\) −1.72526 + 0.879065i −0.0802664 + 0.0408978i
\(463\) −2.06069 + 4.04434i −0.0957686 + 0.187956i −0.933921 0.357480i \(-0.883636\pi\)
0.838152 + 0.545436i \(0.183636\pi\)
\(464\) 1.16830 0.0542370
\(465\) −12.4429 + 0.418591i −0.577024 + 0.0194117i
\(466\) 15.8531 0.734380
\(467\) 5.65336 11.0953i 0.261606 0.513431i −0.722420 0.691454i \(-0.756970\pi\)
0.984026 + 0.178023i \(0.0569703\pi\)
\(468\) 4.81848 2.45514i 0.222735 0.113489i
\(469\) 14.3345 + 19.7297i 0.661906 + 0.911035i
\(470\) 16.5102 + 16.2510i 0.761559 + 0.749604i
\(471\) 16.2687i 0.749622i
\(472\) 8.28614 + 1.31240i 0.381401 + 0.0604079i
\(473\) 3.16444 0.501198i 0.145501 0.0230451i
\(474\) 7.24003 9.96505i 0.332546 0.457710i
\(475\) 7.56946 + 22.1003i 0.347310 + 1.01403i
\(476\) −0.581055 0.799753i −0.0266326 0.0366566i
\(477\) −9.33665 4.75726i −0.427496 0.217820i
\(478\) 1.95309 0.995149i 0.0893323 0.0455171i
\(479\) −22.5157 + 30.9902i −1.02877 + 1.41598i −0.122899 + 0.992419i \(0.539219\pi\)
−0.905869 + 0.423559i \(0.860781\pi\)
\(480\) −1.98426 + 1.03088i −0.0905686 + 0.0470532i
\(481\) −3.34925 + 10.3079i −0.152713 + 0.470001i
\(482\) −16.4706 + 2.60868i −0.750213 + 0.118822i
\(483\) −7.33485 14.3955i −0.333747 0.655016i
\(484\) −9.51887 + 3.09287i −0.432676 + 0.140585i
\(485\) 32.0644 23.6860i 1.45597 1.07553i
\(486\) 0.951057 0.309017i 0.0431408 0.0140173i
\(487\) 1.54489 0.244687i 0.0700058 0.0110878i −0.121333 0.992612i \(-0.538717\pi\)
0.191339 + 0.981524i \(0.438717\pi\)
\(488\) 1.16004 + 7.32422i 0.0525127 + 0.331552i
\(489\) 2.02918 1.47429i 0.0917628 0.0666696i
\(490\) 0.0569192 + 7.19478i 0.00257135 + 0.325027i
\(491\) 32.3023i 1.45778i 0.684628 + 0.728892i \(0.259964\pi\)
−0.684628 + 0.728892i \(0.740036\pi\)
\(492\) −1.96459 + 12.4039i −0.0885705 + 0.559212i
\(493\) 0.269601 + 0.529122i 0.0121422 + 0.0238305i
\(494\) −7.80778 24.0299i −0.351289 1.08116i
\(495\) −1.56172 + 1.58663i −0.0701941 + 0.0713136i
\(496\) −5.56592 + 0.143173i −0.249917 + 0.00642864i
\(497\) −9.61761 9.61761i −0.431409 0.431409i
\(498\) −11.1128 5.66228i −0.497978 0.253733i
\(499\) −9.30117 + 28.6261i −0.416378 + 1.28148i 0.494635 + 0.869101i \(0.335302\pi\)
−0.911013 + 0.412378i \(0.864698\pi\)
\(500\) −1.48645 + 11.0811i −0.0664759 + 0.495561i
\(501\) −5.74108 −0.256493
\(502\) −12.1731 + 12.1731i −0.543313 + 0.543313i
\(503\) −4.43144 + 27.9790i −0.197588 + 1.24752i 0.667007 + 0.745052i \(0.267575\pi\)
−0.864595 + 0.502470i \(0.832425\pi\)
\(504\) 1.14313 1.57339i 0.0509191 0.0700842i
\(505\) 10.0207 1.66849i 0.445917 0.0742470i
\(506\) 2.55591 + 7.86628i 0.113624 + 0.349699i
\(507\) −2.54136 + 16.0455i −0.112866 + 0.712606i
\(508\) 2.24723 4.41043i 0.0997046 0.195681i
\(509\) 5.20974 16.0339i 0.230918 0.710692i −0.766719 0.641983i \(-0.778112\pi\)
0.997637 0.0687091i \(-0.0218880\pi\)
\(510\) −0.924781 0.660779i −0.0409500 0.0292598i
\(511\) 19.3775 + 6.29615i 0.857212 + 0.278525i
\(512\) −0.891007 + 0.453990i −0.0393773 + 0.0200637i
\(513\) −0.730884 4.61462i −0.0322693 0.203740i
\(514\) 1.10562 + 0.359239i 0.0487669 + 0.0158453i
\(515\) 3.76126 1.25509i 0.165741 0.0553059i
\(516\) −2.60338 + 1.89147i −0.114608 + 0.0832673i
\(517\) 9.19075 + 4.68292i 0.404209 + 0.205955i
\(518\) 0.609741 + 3.84975i 0.0267905 + 0.169149i
\(519\) 9.01274 + 6.54814i 0.395615 + 0.287431i
\(520\) 1.79713 11.9582i 0.0788095 0.524400i
\(521\) 28.8469 1.26381 0.631904 0.775047i \(-0.282274\pi\)
0.631904 + 0.775047i \(0.282274\pi\)
\(522\) −0.826113 + 0.826113i −0.0361580 + 0.0361580i
\(523\) 7.34571 + 1.16345i 0.321205 + 0.0508739i 0.314955 0.949107i \(-0.398010\pi\)
0.00625019 + 0.999980i \(0.498010\pi\)
\(524\) −8.73459 2.83804i −0.381572 0.123980i
\(525\) −3.15084 9.19943i −0.137514 0.401496i
\(526\) 18.3614i 0.800597i
\(527\) −1.34926 2.48776i −0.0587745 0.108369i
\(528\) −0.704014 + 0.704014i −0.0306383 + 0.0306383i
\(529\) −43.7614 + 14.2189i −1.90267 + 0.618215i
\(530\) −20.7926 + 10.8024i −0.903172 + 0.469226i
\(531\) −6.78719 + 4.93118i −0.294539 + 0.213995i
\(532\) −6.42508 6.42508i −0.278562 0.278562i
\(533\) −48.0235 48.0235i −2.08013 2.08013i
\(534\) 7.39743 + 10.1817i 0.320118 + 0.440605i
\(535\) 1.93666 + 1.38379i 0.0837290 + 0.0598264i
\(536\) 10.1448 + 7.37063i 0.438189 + 0.318363i
\(537\) 3.15311 6.18833i 0.136067 0.267046i
\(538\) 15.0758 + 2.38777i 0.649962 + 0.102944i
\(539\) 0.989977 + 3.04683i 0.0426413 + 0.131236i
\(540\) 0.674138 2.13203i 0.0290103 0.0917478i
\(541\) −9.15068 6.64836i −0.393419 0.285835i 0.373436 0.927656i \(-0.378179\pi\)
−0.766855 + 0.641820i \(0.778179\pi\)
\(542\) −4.35467 8.54652i −0.187049 0.367104i
\(543\) −3.82285 7.50276i −0.164054 0.321974i
\(544\) −0.411224 0.298772i −0.0176311 0.0128097i
\(545\) 37.1714 19.3117i 1.59225 0.827221i
\(546\) 3.25005 + 10.0026i 0.139089 + 0.428072i
\(547\) −2.43610 0.385841i −0.104160 0.0164974i 0.104137 0.994563i \(-0.466792\pi\)
−0.208297 + 0.978066i \(0.566792\pi\)
\(548\) −1.29526 + 2.54209i −0.0553308 + 0.108593i
\(549\) −5.99928 4.35873i −0.256043 0.186026i
\(550\) 0.856445 + 4.90391i 0.0365189 + 0.209103i
\(551\) 3.20840 + 4.41599i 0.136683 + 0.188127i
\(552\) −5.87424 5.87424i −0.250024 0.250024i
\(553\) 16.9389 + 16.9389i 0.720314 + 0.720314i
\(554\) −20.1365 + 14.6300i −0.855519 + 0.621571i
\(555\) 2.06607 + 3.97680i 0.0876998 + 0.168806i
\(556\) −19.4677 + 6.32544i −0.825614 + 0.268258i
\(557\) 1.88508 1.88508i 0.0798735 0.0798735i −0.666041 0.745915i \(-0.732013\pi\)
0.745915 + 0.666041i \(0.232013\pi\)
\(558\) 3.83446 4.03694i 0.162326 0.170897i
\(559\) 17.4024i 0.736045i
\(560\) −1.37651 4.12513i −0.0581681 0.174319i
\(561\) −0.481308 0.156387i −0.0203209 0.00660265i
\(562\) −7.84630 1.24273i −0.330976 0.0524215i
\(563\) 13.9517 13.9517i 0.587993 0.587993i −0.349095 0.937087i \(-0.613511\pi\)
0.937087 + 0.349095i \(0.113511\pi\)
\(564\) −10.3603 −0.436249
\(565\) −8.10274 10.9689i −0.340885 0.461466i
\(566\) −8.57632 6.23106i −0.360490 0.261911i
\(567\) 0.304236 + 1.92087i 0.0127767 + 0.0806689i
\(568\) −6.23140 3.17505i −0.261464 0.133222i
\(569\) 2.67617 1.94435i 0.112191 0.0815114i −0.530275 0.847826i \(-0.677911\pi\)
0.642466 + 0.766314i \(0.277911\pi\)
\(570\) −9.34577 4.66915i −0.391451 0.195569i
\(571\) −31.4842 10.2298i −1.31757 0.428105i −0.435912 0.899989i \(-0.643574\pi\)
−0.881661 + 0.471884i \(0.843574\pi\)
\(572\) −0.842284 5.31797i −0.0352176 0.222355i
\(573\) 3.87979 1.97685i 0.162080 0.0825841i
\(574\) −23.2286 7.54744i −0.969544 0.315024i
\(575\) −40.9178 + 7.14611i −1.70639 + 0.298014i
\(576\) 0.309017 0.951057i 0.0128757 0.0396274i
\(577\) 5.24526 10.2944i 0.218363 0.428561i −0.755675 0.654947i \(-0.772691\pi\)
0.974038 + 0.226386i \(0.0726910\pi\)
\(578\) −2.61897 + 16.5355i −0.108935 + 0.687787i
\(579\) −1.22496 3.77005i −0.0509077 0.156678i
\(580\) 0.429068 + 2.57692i 0.0178161 + 0.107001i
\(581\) 14.2574 19.6236i 0.591497 0.814126i
\(582\) −2.78888 + 17.6083i −0.115603 + 0.729888i
\(583\) −7.37720 + 7.37720i −0.305532 + 0.305532i
\(584\) 10.4765 0.433519
\(585\) 7.18494 + 9.72647i 0.297061 + 0.402140i
\(586\) −8.35885 + 25.7259i −0.345301 + 1.06273i
\(587\) −8.42802 4.29429i −0.347862 0.177244i 0.271326 0.962488i \(-0.412538\pi\)
−0.619187 + 0.785243i \(0.712538\pi\)
\(588\) −2.27526 2.27526i −0.0938302 0.0938302i
\(589\) −15.8264 20.6451i −0.652115 0.850667i
\(590\) 0.148404 + 18.7587i 0.00610968 + 0.772285i
\(591\) 6.32647 + 19.4709i 0.260236 + 0.800925i
\(592\) 0.909876 + 1.78573i 0.0373957 + 0.0733931i
\(593\) −3.77528 + 23.8362i −0.155032 + 0.978836i 0.780387 + 0.625296i \(0.215022\pi\)
−0.935420 + 0.353539i \(0.884978\pi\)
\(594\) 0.995626i 0.0408510i
\(595\) 1.55062 1.57535i 0.0635692 0.0645831i
\(596\) 9.98330 7.25329i 0.408932 0.297106i
\(597\) 1.86626 + 11.7831i 0.0763811 + 0.482251i
\(598\) 44.3728 7.02795i 1.81454 0.287394i
\(599\) −19.3177 + 6.27671i −0.789301 + 0.256459i −0.675806 0.737079i \(-0.736204\pi\)
−0.113494 + 0.993539i \(0.536204\pi\)
\(600\) −3.00256 3.99808i −0.122579 0.163221i
\(601\) −6.87381 + 2.23344i −0.280389 + 0.0911038i −0.445835 0.895115i \(-0.647093\pi\)
0.165447 + 0.986219i \(0.447093\pi\)
\(602\) −2.84122 5.57621i −0.115800 0.227269i
\(603\) −12.3853 + 1.96164i −0.504368 + 0.0798840i
\(604\) −3.49829 + 10.7666i −0.142343 + 0.438087i
\(605\) −10.3178 19.8599i −0.419479 0.807420i
\(606\) −2.67037 + 3.67545i −0.108476 + 0.149305i
\(607\) 31.4550 16.0271i 1.27672 0.650520i 0.321636 0.946863i \(-0.395767\pi\)
0.955081 + 0.296343i \(0.0957673\pi\)
\(608\) −4.16291 2.12111i −0.168828 0.0860222i
\(609\) −1.33552 1.83819i −0.0541180 0.0744871i
\(610\) −15.7290 + 5.24859i −0.636849 + 0.212509i
\(611\) 32.9323 45.3274i 1.33230 1.83375i
\(612\) 0.502043 0.0795158i 0.0202939 0.00321423i
\(613\) 13.8939 + 2.20058i 0.561170 + 0.0888806i 0.430574 0.902555i \(-0.358311\pi\)
0.130596 + 0.991436i \(0.458311\pi\)
\(614\) 22.1767i 0.894977i
\(615\) −28.0809 + 0.222153i −1.13233 + 0.00895806i
\(616\) −1.13813 1.56650i −0.0458566 0.0631163i
\(617\) 26.0103 13.2529i 1.04714 0.533542i 0.156225 0.987722i \(-0.450068\pi\)
0.890910 + 0.454180i \(0.150068\pi\)
\(618\) −0.805045 + 1.57999i −0.0323837 + 0.0635565i
\(619\) −33.6351 −1.35191 −0.675955 0.736943i \(-0.736269\pi\)
−0.675955 + 0.736943i \(0.736269\pi\)
\(620\) −2.35993 12.2242i −0.0947771 0.490935i
\(621\) 8.30743 0.333366
\(622\) 6.44860 12.6561i 0.258565 0.507463i
\(623\) −21.8083 + 11.1119i −0.873729 + 0.445187i
\(624\) 3.17869 + 4.37509i 0.127249 + 0.175144i
\(625\) −24.9875 + 0.790969i −0.999499 + 0.0316388i
\(626\) 8.86566i 0.354343i
\(627\) −4.59443 0.727687i −0.183484 0.0290610i
\(628\) −16.0684 + 2.54499i −0.641199 + 0.101556i
\(629\) −0.598790 + 0.824164i −0.0238753 + 0.0328616i
\(630\) 3.89025 + 1.94357i 0.154991 + 0.0774336i
\(631\) −17.9803 24.7478i −0.715784 0.985193i −0.999653 0.0263295i \(-0.991618\pi\)
0.283869 0.958863i \(-0.408382\pi\)
\(632\) 10.9750 + 5.59202i 0.436560 + 0.222438i
\(633\) −11.7985 + 6.01165i −0.468949 + 0.238942i
\(634\) −14.3347 + 19.7300i −0.569304 + 0.783580i
\(635\) 10.5534 + 3.33694i 0.418800 + 0.132423i
\(636\) 3.23812 9.96590i 0.128400 0.395174i
\(637\) 17.1868 2.72213i 0.680967 0.107855i
\(638\) 0.528077 + 1.03641i 0.0209068 + 0.0410319i
\(639\) 6.65137 2.16116i 0.263124 0.0854941i
\(640\) −1.32860 1.79856i −0.0525174 0.0710944i
\(641\) 6.55693 2.13048i 0.258983 0.0841487i −0.176648 0.984274i \(-0.556525\pi\)
0.435631 + 0.900125i \(0.356525\pi\)
\(642\) −1.05137 + 0.166520i −0.0414941 + 0.00657203i
\(643\) 3.36041 + 21.2168i 0.132521 + 0.836708i 0.960972 + 0.276646i \(0.0892228\pi\)
−0.828451 + 0.560062i \(0.810777\pi\)
\(644\) 13.0708 9.49649i 0.515062 0.374214i
\(645\) −5.12813 5.04763i −0.201920 0.198750i
\(646\) 2.37485i 0.0934373i
\(647\) 1.61687 10.2085i 0.0635659 0.401339i −0.935305 0.353841i \(-0.884875\pi\)
0.998871 0.0474979i \(-0.0151247\pi\)
\(648\) 0.453990 + 0.891007i 0.0178344 + 0.0350020i
\(649\) 2.58114 + 7.94392i 0.101318 + 0.311826i
\(650\) 27.0362 0.427802i 1.06045 0.0167798i
\(651\) 6.58785 + 8.59368i 0.258198 + 0.336813i
\(652\) 1.77357 + 1.77357i 0.0694584 + 0.0694584i
\(653\) 24.2032 + 12.3322i 0.947145 + 0.482594i 0.858128 0.513436i \(-0.171627\pi\)
0.0890169 + 0.996030i \(0.471627\pi\)
\(654\) −5.78886 + 17.8163i −0.226362 + 0.696671i
\(655\) 3.05202 20.3082i 0.119252 0.793507i
\(656\) −12.5585 −0.490329
\(657\) −7.40798 + 7.40798i −0.289013 + 0.289013i
\(658\) 3.15198 19.9008i 0.122877 0.775815i
\(659\) 18.3122 25.2046i 0.713342 0.981831i −0.286377 0.958117i \(-0.592451\pi\)
0.999719 0.0237137i \(-0.00754902\pi\)
\(660\) −1.81140 1.29429i −0.0705087 0.0503802i
\(661\) 3.53580 + 10.8821i 0.137527 + 0.423263i 0.995974 0.0896374i \(-0.0285708\pi\)
−0.858448 + 0.512901i \(0.828571\pi\)
\(662\) 0.801304 5.05923i 0.0311436 0.196633i
\(663\) −1.24795 + 2.44924i −0.0484663 + 0.0951206i
\(664\) 3.85413 11.8618i 0.149569 0.460327i
\(665\) 11.8121 16.5315i 0.458055 0.641063i
\(666\) −1.90608 0.619324i −0.0738592 0.0239983i
\(667\) −8.64773 + 4.40624i −0.334841 + 0.170610i
\(668\) −0.898103 5.67040i −0.0347486 0.219394i
\(669\) 11.4892 + 3.73306i 0.444197 + 0.144328i
\(670\) −12.5317 + 25.0833i −0.484140 + 0.969054i
\(671\) −5.97304 + 4.33967i −0.230587 + 0.167531i
\(672\) 1.73284 + 0.882926i 0.0668458 + 0.0340596i
\(673\) −2.24323 14.1632i −0.0864702 0.545951i −0.992452 0.122635i \(-0.960866\pi\)
0.905982 0.423317i \(-0.139134\pi\)
\(674\) 26.9958 + 19.6136i 1.03984 + 0.755486i
\(675\) 4.95020 + 0.703942i 0.190533 + 0.0270947i
\(676\) −16.2455 −0.624827
\(677\) −10.6407 + 10.6407i −0.408954 + 0.408954i −0.881374 0.472419i \(-0.843381\pi\)
0.472419 + 0.881374i \(0.343381\pi\)
\(678\) 6.02363 + 0.954049i 0.231336 + 0.0366400i
\(679\) −32.9748 10.7142i −1.26546 0.411172i
\(680\) 0.507976 1.01676i 0.0194800 0.0389911i
\(681\) 17.0122i 0.651910i
\(682\) −2.64283 4.87287i −0.101199 0.186592i
\(683\) 20.7980 20.7980i 0.795815 0.795815i −0.186617 0.982433i \(-0.559752\pi\)
0.982433 + 0.186617i \(0.0597525\pi\)
\(684\) 4.44347 1.44377i 0.169900 0.0552039i
\(685\) −6.08280 1.92335i −0.232412 0.0734876i
\(686\) 16.0764 11.6802i 0.613800 0.445952i
\(687\) −6.22054 6.22054i −0.237328 0.237328i
\(688\) −2.27544 2.27544i −0.0867504 0.0867504i
\(689\) 33.3088 + 45.8456i 1.26896 + 1.74658i
\(690\) 10.7995 15.1142i 0.411128 0.575388i
\(691\) −20.2852 14.7380i −0.771685 0.560662i 0.130787 0.991410i \(-0.458250\pi\)
−0.902472 + 0.430749i \(0.858250\pi\)
\(692\) −5.05762 + 9.92613i −0.192262 + 0.377335i
\(693\) 1.91247 + 0.302905i 0.0726486 + 0.0115064i
\(694\) −6.87245 21.1512i −0.260875 0.802889i
\(695\) −21.1017 40.6169i −0.800434 1.54069i
\(696\) −0.945174 0.686709i −0.0358267 0.0260297i
\(697\) −2.89806 5.68776i −0.109772 0.215439i
\(698\) −6.53928 12.8341i −0.247515 0.485776i
\(699\) −12.8254 9.31821i −0.485102 0.352447i
\(700\) 8.59327 4.55116i 0.324795 0.172018i
\(701\) −5.87300 18.0752i −0.221820 0.682692i −0.998599 0.0529183i \(-0.983148\pi\)
0.776779 0.629773i \(-0.216852\pi\)
\(702\) −5.34133 0.845984i −0.201596 0.0319296i
\(703\) −4.25107 + 8.34319i −0.160332 + 0.314669i
\(704\) −0.805478 0.585214i −0.0303576 0.0220561i
\(705\) −3.80492 22.8518i −0.143302 0.860649i
\(706\) −11.1683 15.3718i −0.420324 0.578527i
\(707\) −6.24763 6.24763i −0.234966 0.234966i
\(708\) −5.93222 5.93222i −0.222947 0.222947i
\(709\) −24.4483 + 17.7627i −0.918173 + 0.667092i −0.943069 0.332598i \(-0.892075\pi\)
0.0248953 + 0.999690i \(0.492075\pi\)
\(710\) 4.71469 14.9107i 0.176939 0.559587i
\(711\) −11.7146 + 3.80631i −0.439332 + 0.142748i
\(712\) −8.89913 + 8.89913i −0.333509 + 0.333509i
\(713\) 40.6589 22.0516i 1.52269 0.825839i
\(714\) 0.988549i 0.0369955i
\(715\) 11.4205 3.81090i 0.427103 0.142519i
\(716\) 6.60540 + 2.14622i 0.246855 + 0.0802082i
\(717\) −2.16502 0.342905i −0.0808540 0.0128060i
\(718\) 14.5693 14.5693i 0.543722 0.543722i
\(719\) 45.6694 1.70318 0.851591 0.524206i \(-0.175638\pi\)
0.851591 + 0.524206i \(0.175638\pi\)
\(720\) 2.21124 + 0.332316i 0.0824079 + 0.0123847i
\(721\) −2.79003 2.02708i −0.103906 0.0754922i
\(722\) −0.442535 2.79405i −0.0164694 0.103984i
\(723\) 14.8583 + 7.57068i 0.552586 + 0.281557i
\(724\) 6.81237 4.94947i 0.253180 0.183946i
\(725\) −5.52634 + 1.89279i −0.205243 + 0.0702966i
\(726\) 9.51887 + 3.09287i 0.353278 + 0.114787i
\(727\) −1.46189 9.22999i −0.0542184 0.342322i −0.999854 0.0170932i \(-0.994559\pi\)
0.945635 0.325228i \(-0.105441\pi\)
\(728\) −9.37105 + 4.77479i −0.347314 + 0.176965i
\(729\) −0.951057 0.309017i −0.0352243 0.0114451i
\(730\) 3.84757 + 23.1080i 0.142405 + 0.855264i
\(731\) 0.505457 1.55564i 0.0186950 0.0575372i
\(732\) 3.36658 6.60728i 0.124432 0.244212i
\(733\) −5.59083 + 35.2991i −0.206502 + 1.30380i 0.638742 + 0.769421i \(0.279455\pi\)
−0.845244 + 0.534381i \(0.820545\pi\)
\(734\) −5.63902 17.3551i −0.208140 0.640589i
\(735\) 4.18294 5.85416i 0.154290 0.215934i
\(736\) 4.88299 6.72085i 0.179989 0.247734i
\(737\) −1.95306 + 12.3311i −0.0719418 + 0.454222i
\(738\) 8.88023 8.88023i 0.326886 0.326886i
\(739\) 8.05847 0.296436 0.148218 0.988955i \(-0.452646\pi\)
0.148218 + 0.988955i \(0.452646\pi\)
\(740\) −3.60463 + 2.66274i −0.132509 + 0.0978843i
\(741\) −7.80778 + 24.0299i −0.286826 + 0.882760i
\(742\) 18.1580 + 9.25198i 0.666602 + 0.339651i
\(743\) 29.9318 + 29.9318i 1.09809 + 1.09809i 0.994634 + 0.103458i \(0.0329908\pi\)
0.103458 + 0.994634i \(0.467009\pi\)
\(744\) 4.58708 + 3.15574i 0.168171 + 0.115695i
\(745\) 19.6651 + 19.3563i 0.720472 + 0.709162i
\(746\) 1.68754 + 5.19371i 0.0617852 + 0.190155i
\(747\) 5.66228 + 11.1128i 0.207172 + 0.406598i
\(748\) 0.0791680 0.499847i 0.00289467 0.0182762i
\(749\) 2.07020i 0.0756434i
\(750\) 7.71586 8.09108i 0.281743 0.295444i
\(751\) −17.5995 + 12.7868i −0.642215 + 0.466596i −0.860610 0.509264i \(-0.829918\pi\)
0.218396 + 0.975860i \(0.429918\pi\)
\(752\) −1.62071 10.2328i −0.0591013 0.373151i
\(753\) 17.0035 2.69308i 0.619640 0.0981414i
\(754\) 6.00883 1.95239i 0.218829 0.0711018i
\(755\) −25.0327 3.76204i −0.911034 0.136915i
\(756\) −1.84963 + 0.600980i −0.0672703 + 0.0218574i
\(757\) −8.18175 16.0576i −0.297371 0.583623i 0.693181 0.720764i \(-0.256209\pi\)
−0.990552 + 0.137141i \(0.956209\pi\)
\(758\) 14.1570 2.24225i 0.514206 0.0814423i
\(759\) 2.55591 7.86628i 0.0927736 0.285528i
\(760\) 3.14967 9.96113i 0.114250 0.361328i
\(761\) −25.2282 + 34.7236i −0.914521 + 1.25873i 0.0510775 + 0.998695i \(0.483734\pi\)
−0.965599 + 0.260036i \(0.916266\pi\)
\(762\) −4.41043 + 2.24723i −0.159773 + 0.0814085i
\(763\) −32.4615 16.5400i −1.17519 0.598788i
\(764\) 2.55944 + 3.52277i 0.0925975 + 0.127449i
\(765\) 0.359768 + 1.07815i 0.0130074 + 0.0389807i
\(766\) 0.0976204 0.134363i 0.00352717 0.00485473i
\(767\) 44.8107 7.09732i 1.61802 0.256269i
\(768\) 0.987688 + 0.156434i 0.0356401 + 0.00564484i
\(769\) 31.9600i 1.15251i 0.817271 + 0.576254i \(0.195486\pi\)
−0.817271 + 0.576254i \(0.804514\pi\)
\(770\) 3.03725 3.08569i 0.109455 0.111201i
\(771\) −0.683313 0.940499i −0.0246089 0.0338712i
\(772\) 3.53201 1.79965i 0.127120 0.0647707i
\(773\) 2.38593 4.68266i 0.0858161 0.168424i −0.844110 0.536170i \(-0.819871\pi\)
0.929926 + 0.367746i \(0.119871\pi\)
\(774\) 3.21796 0.115667
\(775\) 26.0962 9.69474i 0.937403 0.348245i
\(776\) −17.8278 −0.639981
\(777\) 1.76954 3.47291i 0.0634818 0.124590i
\(778\) 25.4343 12.9594i 0.911864 0.464618i
\(779\) −34.4885 47.4693i −1.23568 1.70076i
\(780\) −8.48275 + 8.61804i −0.303731 + 0.308575i
\(781\) 6.96307i 0.249158i
\(782\) 4.17069 + 0.660572i 0.149143 + 0.0236220i
\(783\) 1.15392 0.182762i 0.0412376 0.00653139i
\(784\) 1.89132 2.60318i 0.0675471 0.0929706i
\(785\) −11.5147 34.5075i −0.410979 1.23162i
\(786\) 5.39828 + 7.43009i 0.192550 + 0.265022i
\(787\) 14.6666 + 7.47300i 0.522807 + 0.266384i 0.695417 0.718607i \(-0.255220\pi\)
−0.172609 + 0.984990i \(0.555220\pi\)
\(788\) −18.2415 + 9.29450i −0.649826 + 0.331103i
\(789\) −10.7926 + 14.8547i −0.384226 + 0.528842i
\(790\) −8.30368 + 26.2612i −0.295431 + 0.934331i
\(791\) −3.66521 + 11.2803i −0.130320 + 0.401083i
\(792\) 0.983368 0.155750i 0.0349425 0.00553434i
\(793\) 18.2061 + 35.7316i 0.646519 + 1.26886i
\(794\) −5.61570 + 1.82465i −0.199294 + 0.0647544i
\(795\) 23.1710 + 3.48226i 0.821792 + 0.123503i
\(796\) −11.3461 + 3.68657i −0.402152 + 0.130667i
\(797\) −32.0060 + 5.06925i −1.13371 + 0.179562i −0.694961 0.719047i \(-0.744579\pi\)
−0.438750 + 0.898609i \(0.644579\pi\)
\(798\) 1.42143 + 8.97456i 0.0503181 + 0.317696i
\(799\) 4.26042 3.09537i 0.150723 0.109506i
\(800\) 3.47915 3.59103i 0.123007 0.126962i
\(801\) 12.5853i 0.444678i
\(802\) −0.388557 + 2.45325i −0.0137204 + 0.0866273i
\(803\) 4.73541 + 9.29377i 0.167109 + 0.327970i
\(804\) −3.87497 11.9259i −0.136660 0.420595i
\(805\) 25.7468 + 25.3426i 0.907455 + 0.893210i
\(806\) −28.3876 + 10.0378i −0.999909 + 0.353566i
\(807\) −10.7931 10.7931i −0.379934 0.379934i
\(808\) −4.04793 2.06253i −0.142406 0.0725594i
\(809\) −6.79156 + 20.9023i −0.238778 + 0.734884i 0.757819 + 0.652465i \(0.226265\pi\)
−0.996598 + 0.0824199i \(0.973735\pi\)
\(810\) −1.79856 + 1.32860i −0.0631951 + 0.0466822i
\(811\) −9.13819 −0.320885 −0.160443 0.987045i \(-0.551292\pi\)
−0.160443 + 0.987045i \(0.551292\pi\)
\(812\) 1.60663 1.60663i 0.0563818 0.0563818i
\(813\) −1.50052 + 9.47389i −0.0526254 + 0.332264i
\(814\) −1.17287 + 1.61432i −0.0411091 + 0.0565819i
\(815\) −3.26061 + 4.56333i −0.114214 + 0.159846i
\(816\) 0.157074 + 0.483423i 0.00549867 + 0.0169232i
\(817\) 2.35195 14.8497i 0.0822845 0.519524i
\(818\) −11.6228 + 22.8111i −0.406383 + 0.797571i
\(819\) 3.25005 10.0026i 0.113566 0.349520i
\(820\) −4.61224 27.7004i −0.161066 0.967340i
\(821\) −11.3518 3.68843i −0.396181 0.128727i 0.104149 0.994562i \(-0.466788\pi\)
−0.500330 + 0.865835i \(0.666788\pi\)
\(822\) 2.54209 1.29526i 0.0886657 0.0451774i
\(823\) 0.716453 + 4.52351i 0.0249740 + 0.157680i 0.997024 0.0770955i \(-0.0245646\pi\)
−0.972050 + 0.234775i \(0.924565\pi\)
\(824\) −1.68648 0.547969i −0.0587511 0.0190894i
\(825\) 2.18956 4.47075i 0.0762309 0.155651i
\(826\) 13.1998 9.59022i 0.459280 0.333687i
\(827\) 33.0928 + 16.8616i 1.15075 + 0.586336i 0.922015 0.387153i \(-0.126542\pi\)
0.228734 + 0.973489i \(0.426542\pi\)
\(828\) 1.29957 + 8.20515i 0.0451631 + 0.285149i
\(829\) −36.5908 26.5848i −1.27085 0.923328i −0.271616 0.962406i \(-0.587558\pi\)
−0.999236 + 0.0390777i \(0.987558\pi\)
\(830\) 27.5791 + 4.14472i 0.957283 + 0.143865i
\(831\) 24.8901 0.863428
\(832\) −3.82397 + 3.82397i −0.132572 + 0.132572i
\(833\) 1.61543 + 0.255858i 0.0559712 + 0.00886496i
\(834\) 19.4677 + 6.32544i 0.674111 + 0.219032i
\(835\) 12.1774 4.06345i 0.421415 0.140622i
\(836\) 4.65170i 0.160883i
\(837\) −5.47500 + 1.01211i −0.189244 + 0.0349837i
\(838\) −20.6197 + 20.6197i −0.712297 + 0.712297i
\(839\) 12.5472 4.07683i 0.433177 0.140748i −0.0843085 0.996440i \(-0.526868\pi\)
0.517486 + 0.855692i \(0.326868\pi\)
\(840\) −1.31107 + 4.14639i −0.0452363 + 0.143064i
\(841\) 22.3572 16.2435i 0.770940 0.560120i
\(842\) 4.69797 + 4.69797i 0.161903 + 0.161903i
\(843\) 5.61733 + 5.61733i 0.193471 + 0.193471i
\(844\) −7.78333 10.7128i −0.267913 0.368751i
\(845\) −5.96630 35.8327i −0.205247 1.23268i
\(846\) 8.38169 + 6.08965i 0.288168 + 0.209367i
\(847\) −8.83697 + 17.3435i −0.303642 + 0.595931i
\(848\) 10.3498 + 1.63924i 0.355412 + 0.0562917i
\(849\) 3.27586 + 10.0821i 0.112427 + 0.346016i
\(850\) 2.42924 + 0.747027i 0.0833221 + 0.0256228i
\(851\) −13.4698 9.78636i −0.461738 0.335472i
\(852\) 3.17505 + 6.23140i 0.108776 + 0.213484i
\(853\) −0.515365 1.01146i −0.0176458 0.0346318i 0.882015 0.471221i \(-0.156186\pi\)
−0.899661 + 0.436589i \(0.856186\pi\)
\(854\) 11.6675 + 8.47692i 0.399253 + 0.290074i
\(855\) 4.81643 + 9.27073i 0.164718 + 0.317052i
\(856\) −0.328940 1.01237i −0.0112429 0.0346022i
\(857\) 17.2627 + 2.73415i 0.589684 + 0.0933967i 0.444143 0.895956i \(-0.353508\pi\)
0.145540 + 0.989352i \(0.453508\pi\)
\(858\) −2.44440 + 4.79741i −0.0834505 + 0.163781i
\(859\) −31.8803 23.1624i −1.08774 0.790291i −0.108726 0.994072i \(-0.534677\pi\)
−0.979017 + 0.203781i \(0.934677\pi\)
\(860\) 4.18327 5.85462i 0.142648 0.199641i
\(861\) 14.3561 + 19.7594i 0.489254 + 0.673400i
\(862\) 3.65880 + 3.65880i 0.124619 + 0.124619i
\(863\) 7.63939 + 7.63939i 0.260048 + 0.260048i 0.825073 0.565026i \(-0.191134\pi\)
−0.565026 + 0.825073i \(0.691134\pi\)
\(864\) −0.809017 + 0.587785i −0.0275233 + 0.0199969i
\(865\) −23.7515 7.51013i −0.807576 0.255352i
\(866\) 34.9994 11.3720i 1.18933 0.386436i
\(867\) 11.8381 11.8381i 0.402044 0.402044i
\(868\) −7.45731 + 7.85109i −0.253118 + 0.266483i
\(869\) 12.2636i 0.416014i
\(870\) 1.16755 2.33697i 0.0395837 0.0792308i
\(871\) 64.4944 + 20.9555i 2.18531 + 0.710050i
\(872\) −18.5025 2.93051i −0.626574 0.0992395i
\(873\) 12.6062 12.6062i 0.426654 0.426654i
\(874\) 38.8135 1.31289
\(875\) 13.1945 + 17.2827i 0.446054 + 0.584263i
\(876\) −8.47564 6.15791i −0.286365 0.208057i
\(877\) −5.14017 32.4537i −0.173571 1.09588i −0.908544 0.417789i \(-0.862805\pi\)
0.734973 0.678096i \(-0.237195\pi\)
\(878\) −9.42129 4.80038i −0.317953 0.162005i
\(879\) 21.8837 15.8995i 0.738120 0.536276i
\(880\) 0.994989 1.99157i 0.0335411 0.0671358i
\(881\) −21.4321 6.96372i −0.722066 0.234614i −0.0751475 0.997172i \(-0.523943\pi\)
−0.646919 + 0.762559i \(0.723943\pi\)
\(882\) 0.503360 + 3.17809i 0.0169490 + 0.107012i
\(883\) −37.8074 + 19.2638i −1.27232 + 0.648280i −0.954030 0.299713i \(-0.903109\pi\)
−0.318292 + 0.947993i \(0.603109\pi\)
\(884\) −2.61431 0.849440i −0.0879287 0.0285698i
\(885\) 10.9061 15.2634i 0.366603 0.513073i
\(886\) −7.50013 + 23.0830i −0.251972 + 0.775490i
\(887\) −5.46679 + 10.7292i −0.183557 + 0.360251i −0.964388 0.264492i \(-0.914796\pi\)
0.780831 + 0.624742i \(0.214796\pi\)
\(888\) 0.313522 1.97950i 0.0105211 0.0664277i
\(889\) −2.97482 9.15555i −0.0997722 0.307067i
\(890\) −22.8971 16.3605i −0.767513 0.548406i
\(891\) −0.585214 + 0.805478i −0.0196054 + 0.0269845i
\(892\) −1.88979 + 11.9317i −0.0632750 + 0.399503i
\(893\) 34.2274 34.2274i 1.14538 1.14538i
\(894\) −12.3400 −0.412713
\(895\) −2.30804 + 15.3578i −0.0771493 + 0.513353i
\(896\) −0.600980 + 1.84963i −0.0200773 + 0.0617917i
\(897\) −40.0292 20.3959i −1.33654 0.681000i
\(898\) −3.03931 3.03931i −0.101423 0.101423i
\(899\) 5.16245 3.95749i 0.172177 0.131990i
\(900\) 0.0791068 + 4.99937i 0.00263689 + 0.166646i
\(901\) 1.64594 + 5.06567i 0.0548341 + 0.168762i
\(902\) −5.67652 11.1408i −0.189008 0.370948i
\(903\) −0.979018 + 6.18128i −0.0325797 + 0.205700i
\(904\) 6.09872i 0.202840i
\(905\) 13.4190 + 13.2083i 0.446061 + 0.439059i
\(906\) 9.15863 6.65413i 0.304275 0.221069i
\(907\) −5.99009 37.8200i −0.198898 1.25579i −0.861863 0.507141i \(-0.830702\pi\)
0.662965 0.748650i \(-0.269298\pi\)
\(908\) 16.8028 2.66130i 0.557620 0.0883183i
\(909\) 4.32075 1.40390i 0.143310 0.0465643i
\(910\) −13.9734 18.9162i −0.463212 0.627064i
\(911\) 33.3451 10.8345i 1.10477 0.358963i 0.300836 0.953676i \(-0.402734\pi\)
0.803938 + 0.594713i \(0.202734\pi\)
\(912\) 2.12111 + 4.16291i 0.0702369 + 0.137848i
\(913\) 12.2648 1.94255i 0.405906 0.0642892i
\(914\) −8.89893 + 27.3881i −0.294350 + 0.905917i
\(915\) 15.8101 + 4.99908i 0.522665 + 0.165265i
\(916\) 5.17085 7.11706i 0.170850 0.235154i
\(917\) −15.9146 + 8.10888i −0.525545 + 0.267779i
\(918\) −0.452899 0.230764i −0.0149479 0.00761634i
\(919\) −4.20481 5.78742i −0.138704 0.190909i 0.734014 0.679134i \(-0.237645\pi\)
−0.872718 + 0.488225i \(0.837645\pi\)
\(920\) 16.6175 + 8.30212i 0.547863 + 0.273713i
\(921\) 13.0351 17.9413i 0.429522 0.591186i
\(922\) −29.1691 + 4.61994i −0.960634 + 0.152149i
\(923\) −37.3554 5.91652i −1.22957 0.194745i
\(924\) 1.93631i 0.0636998i
\(925\) −7.19705 6.97283i −0.236637 0.229265i
\(926\) 2.66800 + 3.67218i 0.0876758 + 0.120675i
\(927\) 1.57999 0.805045i 0.0518937 0.0264412i
\(928\) 0.530397 1.04096i 0.0174111 0.0341713i
\(929\) 19.0866 0.626212 0.313106 0.949718i \(-0.398630\pi\)
0.313106 + 0.949718i \(0.398630\pi\)
\(930\) −5.27597 + 11.2767i −0.173006 + 0.369778i
\(931\) 15.0336 0.492705
\(932\) 7.19715 14.1252i 0.235750 0.462686i
\(933\) −12.6561 + 6.44860i −0.414342 + 0.211118i
\(934\) −7.31945 10.0744i −0.239500 0.329643i
\(935\) 1.13159 0.00895219i 0.0370069 0.000292768i
\(936\) 5.40791i 0.176763i
\(937\) −20.1698 3.19458i −0.658918 0.104362i −0.181984 0.983302i \(-0.558252\pi\)
−0.476934 + 0.878939i \(0.658252\pi\)
\(938\) 24.0871 3.81501i 0.786470 0.124565i
\(939\) 5.21111 7.17247i 0.170058 0.234065i
\(940\) 21.9752 7.33289i 0.716753 0.239172i
\(941\) 0.677030 + 0.931852i 0.0220705 + 0.0303775i 0.819910 0.572493i \(-0.194024\pi\)
−0.797839 + 0.602870i \(0.794024\pi\)
\(942\) 14.4955 + 7.38584i 0.472290 + 0.240644i
\(943\) 92.9581 47.3645i 3.02713 1.54240i
\(944\) 4.93118 6.78719i 0.160496 0.220904i
\(945\) −2.00487 3.85901i −0.0652186 0.125534i
\(946\) 0.990055 3.04708i 0.0321895 0.0990690i
\(947\) −26.3605 + 4.17510i −0.856603 + 0.135673i −0.569262 0.822156i \(-0.692771\pi\)
−0.287340 + 0.957829i \(0.592771\pi\)
\(948\) −5.59202 10.9750i −0.181620 0.356450i
\(949\) 53.8829 17.5076i 1.74911 0.568321i
\(950\) 23.1280 + 3.28891i 0.750372 + 0.106706i
\(951\) 23.1941 7.53621i 0.752119 0.244378i
\(952\) −0.976379 + 0.154643i −0.0316446 + 0.00501202i
\(953\) −3.29756 20.8200i −0.106819 0.674426i −0.981750 0.190178i \(-0.939093\pi\)
0.874931 0.484248i \(-0.160907\pi\)
\(954\) −8.47750 + 6.15926i −0.274469 + 0.199414i
\(955\) −6.83021 + 6.93914i −0.221020 + 0.224545i
\(956\) 2.19200i 0.0708945i
\(957\) 0.181963 1.14887i 0.00588203 0.0371377i
\(958\) 17.3906 + 34.1309i 0.561863 + 1.10272i
\(959\) 1.71463 + 5.27709i 0.0553683 + 0.170406i
\(960\) 0.0176894 + 2.23600i 0.000570922 + 0.0721665i
\(961\) −24.1096 + 19.4866i −0.777728 + 0.628601i
\(962\) 7.66390 + 7.66390i 0.247094 + 0.247094i
\(963\) 0.948452 + 0.483260i 0.0305634 + 0.0155728i
\(964\) −5.15313 + 15.8597i −0.165971 + 0.510806i
\(965\) 5.26665 + 7.12962i 0.169539 + 0.229511i
\(966\) −16.1564 −0.519824
\(967\) −8.65639 + 8.65639i −0.278371 + 0.278371i −0.832458 0.554088i \(-0.813067\pi\)
0.554088 + 0.832458i \(0.313067\pi\)
\(968\) −1.56571 + 9.88550i −0.0503238 + 0.317732i
\(969\) −1.39590 + 1.92130i −0.0448429 + 0.0617209i
\(970\) −6.54742 39.3228i −0.210225 1.26258i
\(971\) 1.11450 + 3.43008i 0.0357660 + 0.110076i 0.967346 0.253461i \(-0.0815689\pi\)
−0.931580 + 0.363537i \(0.881569\pi\)
\(972\) 0.156434 0.987688i 0.00501764 0.0316801i
\(973\) −18.0731 + 35.4705i −0.579397 + 1.13713i
\(974\) 0.483349 1.48760i 0.0154875 0.0476657i
\(975\) −22.1242 15.5454i −0.708541 0.497850i
\(976\) 7.05258 + 2.29152i 0.225748 + 0.0733498i
\(977\) −37.1324 + 18.9199i −1.18797 + 0.605301i −0.932379 0.361484i \(-0.882270\pi\)
−0.255592 + 0.966785i \(0.582270\pi\)
\(978\) −0.392370 2.47733i −0.0125466 0.0792162i
\(979\) −11.9169 3.87205i −0.380867 0.123751i
\(980\) 6.43644 + 3.21565i 0.205604 + 0.102720i
\(981\) 15.1554 11.0111i 0.483876 0.351556i
\(982\) 28.7816 + 14.6650i 0.918458 + 0.467978i
\(983\) 6.70425 + 42.3290i 0.213832 + 1.35008i 0.827920 + 0.560846i \(0.189524\pi\)
−0.614087 + 0.789238i \(0.710476\pi\)
\(984\) 10.1601 + 7.38173i 0.323891 + 0.235321i
\(985\) −27.2002 36.8218i −0.866672 1.17324i
\(986\) 0.593848 0.0189120
\(987\) −14.2474 + 14.2474i −0.453501 + 0.453501i
\(988\) −24.9554 3.95255i −0.793938 0.125747i
\(989\) 25.4246 + 8.26095i 0.808455 + 0.262683i
\(990\) 0.704689 + 2.11182i 0.0223965 + 0.0671179i
\(991\) 7.00646i 0.222568i −0.993789 0.111284i \(-0.964504\pi\)
0.993789 0.111284i \(-0.0354962\pi\)
\(992\) −2.39931 + 5.02427i −0.0761781 + 0.159521i
\(993\) −3.62201 + 3.62201i −0.114941 + 0.114941i
\(994\) −12.9357 + 4.20305i −0.410294 + 0.133313i
\(995\) −12.2984 23.6722i −0.389887 0.750459i
\(996\) −10.0903 + 7.33100i −0.319722 + 0.232292i
\(997\) 12.8275 + 12.8275i 0.406252 + 0.406252i 0.880429 0.474177i \(-0.157254\pi\)
−0.474177 + 0.880429i \(0.657254\pi\)
\(998\) 21.2834 + 21.2834i 0.673713 + 0.673713i
\(999\) 1.17802 + 1.62141i 0.0372710 + 0.0512992i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 930.2.bj.b.337.14 yes 128
5.3 odd 4 930.2.bj.a.523.6 yes 128
31.23 odd 10 930.2.bj.a.457.6 128
155.23 even 20 inner 930.2.bj.b.643.14 yes 128
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bj.a.457.6 128 31.23 odd 10
930.2.bj.a.523.6 yes 128 5.3 odd 4
930.2.bj.b.337.14 yes 128 1.1 even 1 trivial
930.2.bj.b.643.14 yes 128 155.23 even 20 inner