Properties

Label 966.2.s.b.181.10
Level $966$
Weight $2$
Character 966.181
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(97,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 11, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.97");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.s (of order \(22\), degree \(10\), 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: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.10
Character \(\chi\) \(=\) 966.181
Dual form 966.2.s.b.475.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.142315 + 0.989821i) q^{2} +(0.909632 + 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-2.10955 + 2.43455i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(-2.62127 + 0.359110i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(0.142315 + 0.989821i) q^{2} +(0.909632 + 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-2.10955 + 2.43455i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(-2.62127 + 0.359110i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-2.71000 - 1.74161i) q^{10} +(-0.264735 - 0.0380631i) q^{11} +(-0.989821 - 0.142315i) q^{12} +(-1.37900 + 2.14577i) q^{13} +(-0.728500 - 2.54348i) q^{14} +(-2.93027 + 1.33821i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-1.86809 - 0.548520i) q^{17} +(-0.654861 + 0.755750i) q^{18} +(7.10650 - 2.08666i) q^{19} +(1.33821 - 2.93027i) q^{20} +(-2.53357 - 0.762256i) q^{21} -0.267457i q^{22} +(-1.46520 - 4.56653i) q^{23} -1.00000i q^{24} +(-0.765266 - 5.32254i) q^{25} +(-2.32018 - 1.05959i) q^{26} +(0.281733 + 0.959493i) q^{27} +(2.41391 - 1.08306i) q^{28} +(-8.36681 - 2.45672i) q^{29} +(-1.74161 - 2.71000i) q^{30} +(-2.77436 + 1.26701i) q^{31} +(0.654861 + 0.755750i) q^{32} +(-0.224999 - 0.144598i) q^{33} +(0.277080 - 1.92713i) q^{34} +(4.65543 - 7.13918i) q^{35} +(-0.841254 - 0.540641i) q^{36} +(2.69019 - 2.33106i) q^{37} +(3.07678 + 6.73721i) q^{38} +(-2.14577 + 1.37900i) q^{39} +(3.09089 + 0.907567i) q^{40} +(-8.31927 - 7.20869i) q^{41} +(0.393933 - 2.61626i) q^{42} +(-2.76248 - 1.26158i) q^{43} +(0.264735 - 0.0380631i) q^{44} -3.22138 q^{45} +(4.31153 - 2.10017i) q^{46} +10.7283i q^{47} +(0.989821 - 0.142315i) q^{48} +(6.74208 - 1.88265i) q^{49} +(5.15945 - 1.51495i) q^{50} +(-1.47141 - 1.27498i) q^{51} +(0.718611 - 2.44736i) q^{52} +(2.84183 + 4.42198i) q^{53} +(-0.909632 + 0.415415i) q^{54} +(0.651139 - 0.564215i) q^{55} +(1.41557 + 2.23521i) q^{56} +(7.33113 + 1.05406i) q^{57} +(1.24099 - 8.63128i) q^{58} +(-3.09864 + 4.82157i) q^{59} +(2.43455 - 2.10955i) q^{60} +(-4.46565 - 9.77841i) q^{61} +(-1.64894 - 2.56581i) q^{62} +(-1.98796 - 1.74585i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-2.31492 - 7.88388i) q^{65} +(0.111106 - 0.243288i) q^{66} +(-9.51519 + 1.36808i) q^{67} +1.94695 q^{68} +(0.564210 - 4.76253i) q^{69} +(7.72905 + 3.59203i) q^{70} +(1.86741 + 12.9881i) q^{71} +(0.415415 - 0.909632i) q^{72} +(3.36712 + 11.4674i) q^{73} +(2.69019 + 2.33106i) q^{74} +(1.51495 - 5.15945i) q^{75} +(-6.23076 + 4.00427i) q^{76} +(0.707610 + 0.00470468i) q^{77} +(-1.67034 - 1.92768i) q^{78} +(2.44827 - 3.80959i) q^{79} +(-0.458450 + 3.18859i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(5.95136 - 9.26050i) q^{82} +(-4.64099 - 5.35599i) q^{83} +(2.64569 + 0.0175904i) q^{84} +(5.27623 - 3.39083i) q^{85} +(0.855600 - 2.91391i) q^{86} +(-6.59016 - 5.71041i) q^{87} +(0.0753514 + 0.256623i) q^{88} +(-4.57458 + 10.0169i) q^{89} +(-0.458450 - 3.18859i) q^{90} +(2.84417 - 6.11986i) q^{91} +(2.69239 + 3.96876i) q^{92} -3.04998 q^{93} +(-10.6191 + 1.52680i) q^{94} +(-9.91147 + 21.7031i) q^{95} +(0.281733 + 0.959493i) q^{96} +(0.645154 - 0.744548i) q^{97} +(2.82298 + 6.40553i) q^{98} +(-0.144598 - 0.224999i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9} + 22 q^{14} - 16 q^{16} - 16 q^{18} - 52 q^{23} - 48 q^{25} + 22 q^{28} - 12 q^{29} + 16 q^{32} + 22 q^{35} + 16 q^{36} + 22 q^{37} - 4 q^{39} + 154 q^{43} + 8 q^{46} + 4 q^{50} + 22 q^{51} + 88 q^{53} + 22 q^{57} + 56 q^{58} - 16 q^{64} + 16 q^{71} - 16 q^{72} + 22 q^{74} - 72 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} - 22 q^{84} - 68 q^{85} - 44 q^{86} + 44 q^{88} - 8 q^{92} - 8 q^{93} - 66 q^{95} + 66 q^{98} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.142315 + 0.989821i 0.100632 + 0.699909i
\(3\) 0.909632 + 0.415415i 0.525176 + 0.239840i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −2.10955 + 2.43455i −0.943421 + 1.08877i 0.0525076 + 0.998621i \(0.483279\pi\)
−0.995929 + 0.0901454i \(0.971267\pi\)
\(6\) −0.281733 + 0.959493i −0.115017 + 0.391711i
\(7\) −2.62127 + 0.359110i −0.990746 + 0.135731i
\(8\) −0.415415 0.909632i −0.146871 0.321603i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) −2.71000 1.74161i −0.856976 0.550745i
\(11\) −0.264735 0.0380631i −0.0798206 0.0114765i 0.102289 0.994755i \(-0.467383\pi\)
−0.182109 + 0.983278i \(0.558292\pi\)
\(12\) −0.989821 0.142315i −0.285737 0.0410828i
\(13\) −1.37900 + 2.14577i −0.382467 + 0.595130i −0.978102 0.208125i \(-0.933264\pi\)
0.595635 + 0.803255i \(0.296900\pi\)
\(14\) −0.728500 2.54348i −0.194700 0.679773i
\(15\) −2.93027 + 1.33821i −0.756592 + 0.345524i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −1.86809 0.548520i −0.453078 0.133036i 0.0472287 0.998884i \(-0.484961\pi\)
−0.500306 + 0.865849i \(0.666779\pi\)
\(18\) −0.654861 + 0.755750i −0.154352 + 0.178132i
\(19\) 7.10650 2.08666i 1.63034 0.478712i 0.666572 0.745441i \(-0.267761\pi\)
0.963772 + 0.266729i \(0.0859427\pi\)
\(20\) 1.33821 2.93027i 0.299233 0.655228i
\(21\) −2.53357 0.762256i −0.552870 0.166338i
\(22\) 0.267457i 0.0570221i
\(23\) −1.46520 4.56653i −0.305516 0.952187i
\(24\) 1.00000i 0.204124i
\(25\) −0.765266 5.32254i −0.153053 1.06451i
\(26\) −2.32018 1.05959i −0.455026 0.207803i
\(27\) 0.281733 + 0.959493i 0.0542195 + 0.184655i
\(28\) 2.41391 1.08306i 0.456187 0.204679i
\(29\) −8.36681 2.45672i −1.55368 0.456201i −0.611481 0.791259i \(-0.709426\pi\)
−0.942197 + 0.335058i \(0.891244\pi\)
\(30\) −1.74161 2.71000i −0.317973 0.494775i
\(31\) −2.77436 + 1.26701i −0.498290 + 0.227561i −0.648674 0.761066i \(-0.724676\pi\)
0.150384 + 0.988628i \(0.451949\pi\)
\(32\) 0.654861 + 0.755750i 0.115764 + 0.133599i
\(33\) −0.224999 0.144598i −0.0391673 0.0251713i
\(34\) 0.277080 1.92713i 0.0475189 0.330501i
\(35\) 4.65543 7.13918i 0.786911 1.20674i
\(36\) −0.841254 0.540641i −0.140209 0.0901068i
\(37\) 2.69019 2.33106i 0.442265 0.383225i −0.405068 0.914286i \(-0.632752\pi\)
0.847333 + 0.531062i \(0.178207\pi\)
\(38\) 3.07678 + 6.73721i 0.499120 + 1.09292i
\(39\) −2.14577 + 1.37900i −0.343599 + 0.220817i
\(40\) 3.09089 + 0.907567i 0.488712 + 0.143499i
\(41\) −8.31927 7.20869i −1.29925 1.12581i −0.984262 0.176714i \(-0.943453\pi\)
−0.314990 0.949095i \(-0.602001\pi\)
\(42\) 0.393933 2.61626i 0.0607851 0.403698i
\(43\) −2.76248 1.26158i −0.421275 0.192390i 0.193487 0.981103i \(-0.438020\pi\)
−0.614761 + 0.788713i \(0.710748\pi\)
\(44\) 0.264735 0.0380631i 0.0399103 0.00573823i
\(45\) −3.22138 −0.480215
\(46\) 4.31153 2.10017i 0.635700 0.309654i
\(47\) 10.7283i 1.56489i 0.622720 + 0.782445i \(0.286028\pi\)
−0.622720 + 0.782445i \(0.713972\pi\)
\(48\) 0.989821 0.142315i 0.142868 0.0205414i
\(49\) 6.74208 1.88265i 0.963154 0.268949i
\(50\) 5.15945 1.51495i 0.729657 0.214247i
\(51\) −1.47141 1.27498i −0.206038 0.178533i
\(52\) 0.718611 2.44736i 0.0996534 0.339388i
\(53\) 2.84183 + 4.42198i 0.390356 + 0.607405i 0.979698 0.200478i \(-0.0642495\pi\)
−0.589343 + 0.807883i \(0.700613\pi\)
\(54\) −0.909632 + 0.415415i −0.123785 + 0.0565308i
\(55\) 0.651139 0.564215i 0.0877996 0.0760788i
\(56\) 1.41557 + 2.23521i 0.189164 + 0.298692i
\(57\) 7.33113 + 1.05406i 0.971032 + 0.139613i
\(58\) 1.24099 8.63128i 0.162950 1.13334i
\(59\) −3.09864 + 4.82157i −0.403408 + 0.627715i −0.982217 0.187748i \(-0.939881\pi\)
0.578809 + 0.815463i \(0.303518\pi\)
\(60\) 2.43455 2.10955i 0.314300 0.272342i
\(61\) −4.46565 9.77841i −0.571768 1.25200i −0.945851 0.324601i \(-0.894770\pi\)
0.374083 0.927395i \(-0.377957\pi\)
\(62\) −1.64894 2.56581i −0.209416 0.325858i
\(63\) −1.98796 1.74585i −0.250460 0.219957i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) −2.31492 7.88388i −0.287130 0.977875i
\(66\) 0.111106 0.243288i 0.0136762 0.0299466i
\(67\) −9.51519 + 1.36808i −1.16247 + 0.167137i −0.696427 0.717627i \(-0.745228\pi\)
−0.466038 + 0.884765i \(0.654319\pi\)
\(68\) 1.94695 0.236103
\(69\) 0.564210 4.76253i 0.0679228 0.573341i
\(70\) 7.72905 + 3.59203i 0.923798 + 0.429330i
\(71\) 1.86741 + 12.9881i 0.221620 + 1.54140i 0.731910 + 0.681401i \(0.238629\pi\)
−0.510290 + 0.860003i \(0.670462\pi\)
\(72\) 0.415415 0.909632i 0.0489571 0.107201i
\(73\) 3.36712 + 11.4674i 0.394092 + 1.34215i 0.882818 + 0.469716i \(0.155644\pi\)
−0.488726 + 0.872437i \(0.662538\pi\)
\(74\) 2.69019 + 2.33106i 0.312728 + 0.270981i
\(75\) 1.51495 5.15945i 0.174932 0.595762i
\(76\) −6.23076 + 4.00427i −0.714717 + 0.459321i
\(77\) 0.707610 + 0.00470468i 0.0806396 + 0.000536148i
\(78\) −1.67034 1.92768i −0.189129 0.218267i
\(79\) 2.44827 3.80959i 0.275452 0.428612i −0.675773 0.737110i \(-0.736190\pi\)
0.951225 + 0.308498i \(0.0998263\pi\)
\(80\) −0.458450 + 3.18859i −0.0512562 + 0.356495i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) 5.95136 9.26050i 0.657218 1.02265i
\(83\) −4.64099 5.35599i −0.509415 0.587896i 0.441534 0.897245i \(-0.354435\pi\)
−0.950949 + 0.309348i \(0.899889\pi\)
\(84\) 2.64569 + 0.0175904i 0.288669 + 0.00191927i
\(85\) 5.27623 3.39083i 0.572288 0.367787i
\(86\) 0.855600 2.91391i 0.0922617 0.314215i
\(87\) −6.59016 5.71041i −0.706540 0.612220i
\(88\) 0.0753514 + 0.256623i 0.00803249 + 0.0273561i
\(89\) −4.57458 + 10.0169i −0.484905 + 1.06179i 0.496181 + 0.868219i \(0.334735\pi\)
−0.981086 + 0.193574i \(0.937992\pi\)
\(90\) −0.458450 3.18859i −0.0483249 0.336107i
\(91\) 2.84417 6.11986i 0.298150 0.641535i
\(92\) 2.69239 + 3.96876i 0.280701 + 0.413771i
\(93\) −3.04998 −0.316268
\(94\) −10.6191 + 1.52680i −1.09528 + 0.157478i
\(95\) −9.91147 + 21.7031i −1.01690 + 2.22669i
\(96\) 0.281733 + 0.959493i 0.0287542 + 0.0979278i
\(97\) 0.645154 0.744548i 0.0655055 0.0755974i −0.722051 0.691840i \(-0.756800\pi\)
0.787556 + 0.616242i \(0.211346\pi\)
\(98\) 2.82298 + 6.40553i 0.285164 + 0.647056i
\(99\) −0.144598 0.224999i −0.0145327 0.0226133i
\(100\) 2.23380 + 4.89134i 0.223380 + 0.489134i
\(101\) −13.3591 + 11.5757i −1.32928 + 1.15183i −0.352925 + 0.935652i \(0.614813\pi\)
−0.976354 + 0.216176i \(0.930642\pi\)
\(102\) 1.05260 1.63788i 0.104223 0.162174i
\(103\) −1.36702 + 9.50780i −0.134696 + 0.936832i 0.804623 + 0.593786i \(0.202368\pi\)
−0.939319 + 0.343045i \(0.888542\pi\)
\(104\) 2.52472 + 0.363000i 0.247569 + 0.0355951i
\(105\) 7.20045 4.56009i 0.702692 0.445019i
\(106\) −3.97253 + 3.44222i −0.385846 + 0.334338i
\(107\) 5.15670 2.35498i 0.498517 0.227665i −0.150256 0.988647i \(-0.548010\pi\)
0.648773 + 0.760982i \(0.275283\pi\)
\(108\) −0.540641 0.841254i −0.0520232 0.0809497i
\(109\) −2.90119 + 9.88056i −0.277884 + 0.946386i 0.695753 + 0.718281i \(0.255071\pi\)
−0.973637 + 0.228105i \(0.926747\pi\)
\(110\) 0.651139 + 0.564215i 0.0620837 + 0.0537958i
\(111\) 3.41544 1.00286i 0.324180 0.0951877i
\(112\) −2.01100 + 1.71927i −0.190022 + 0.162455i
\(113\) 19.9237 2.86459i 1.87426 0.269478i 0.891316 0.453383i \(-0.149783\pi\)
0.982944 + 0.183905i \(0.0588739\pi\)
\(114\) 7.40652i 0.693684i
\(115\) 14.2084 + 6.06622i 1.32494 + 0.565678i
\(116\) 8.72003 0.809635
\(117\) −2.52472 + 0.363000i −0.233411 + 0.0335594i
\(118\) −5.21348 2.38092i −0.479939 0.219181i
\(119\) 5.09373 + 0.766968i 0.466942 + 0.0703078i
\(120\) 2.43455 + 2.10955i 0.222243 + 0.192575i
\(121\) −10.4858 3.07890i −0.953253 0.279900i
\(122\) 9.04335 5.81181i 0.818746 0.526176i
\(123\) −4.57288 10.0132i −0.412323 0.902861i
\(124\) 2.30502 1.99731i 0.206997 0.179364i
\(125\) 1.02240 + 0.657060i 0.0914466 + 0.0587692i
\(126\) 1.44517 2.21619i 0.128746 0.197434i
\(127\) −0.543478 + 3.77998i −0.0482259 + 0.335419i 0.951397 + 0.307966i \(0.0996485\pi\)
−0.999623 + 0.0274521i \(0.991261\pi\)
\(128\) −0.841254 0.540641i −0.0743570 0.0477863i
\(129\) −1.98876 2.29515i −0.175101 0.202077i
\(130\) 7.47419 3.41335i 0.655530 0.299370i
\(131\) −1.85827 2.89153i −0.162358 0.252634i 0.750537 0.660828i \(-0.229795\pi\)
−0.912895 + 0.408194i \(0.866159\pi\)
\(132\) 0.256623 + 0.0753514i 0.0223362 + 0.00655850i
\(133\) −17.8787 + 8.02170i −1.55028 + 0.695570i
\(134\) −2.70831 9.22364i −0.233962 0.796801i
\(135\) −2.93027 1.33821i −0.252197 0.115175i
\(136\) 0.277080 + 1.92713i 0.0237594 + 0.165250i
\(137\) 11.8048i 1.00856i −0.863542 0.504278i \(-0.831759\pi\)
0.863542 0.504278i \(-0.168241\pi\)
\(138\) 4.79435 0.119312i 0.408122 0.0101565i
\(139\) 11.9872i 1.01674i −0.861139 0.508369i \(-0.830248\pi\)
0.861139 0.508369i \(-0.169752\pi\)
\(140\) −2.45551 + 8.16158i −0.207529 + 0.689779i
\(141\) −4.45671 + 9.75884i −0.375323 + 0.821843i
\(142\) −12.5901 + 3.69680i −1.05654 + 0.310228i
\(143\) 0.446745 0.515572i 0.0373587 0.0431143i
\(144\) 0.959493 + 0.281733i 0.0799577 + 0.0234777i
\(145\) 23.6313 15.1869i 1.96247 1.26120i
\(146\) −10.8714 + 4.96482i −0.899727 + 0.410892i
\(147\) 6.91489 + 1.08825i 0.570331 + 0.0897570i
\(148\) −1.92448 + 2.99455i −0.158192 + 0.246151i
\(149\) −10.5804 1.52123i −0.866777 0.124624i −0.305440 0.952211i \(-0.598804\pi\)
−0.561337 + 0.827587i \(0.689713\pi\)
\(150\) 5.32254 + 0.765266i 0.434583 + 0.0624837i
\(151\) −4.79150 3.07931i −0.389927 0.250591i 0.330958 0.943645i \(-0.392628\pi\)
−0.720885 + 0.693055i \(0.756264\pi\)
\(152\) −4.85024 5.59747i −0.393406 0.454015i
\(153\) −0.808793 1.77101i −0.0653870 0.143178i
\(154\) 0.0960465 + 0.701077i 0.00773965 + 0.0564944i
\(155\) 2.76806 9.42715i 0.222336 0.757207i
\(156\) 1.67034 1.92768i 0.133735 0.154338i
\(157\) 22.3724 6.56912i 1.78551 0.524273i 0.789519 0.613726i \(-0.210330\pi\)
0.995991 + 0.0894531i \(0.0285119\pi\)
\(158\) 4.11924 + 1.88119i 0.327709 + 0.149660i
\(159\) 0.748066 + 5.20291i 0.0593255 + 0.412618i
\(160\) −3.22138 −0.254672
\(161\) 5.48057 + 11.4439i 0.431930 + 0.901907i
\(162\) −1.00000 −0.0785674
\(163\) 0.648063 + 4.50738i 0.0507602 + 0.353045i 0.999334 + 0.0364892i \(0.0116174\pi\)
−0.948574 + 0.316556i \(0.897473\pi\)
\(164\) 10.0132 + 4.57288i 0.781900 + 0.357082i
\(165\) 0.826680 0.242735i 0.0643570 0.0188969i
\(166\) 4.64099 5.35599i 0.360211 0.415706i
\(167\) 1.71474 5.83987i 0.132691 0.451903i −0.866163 0.499761i \(-0.833421\pi\)
0.998854 + 0.0478578i \(0.0152394\pi\)
\(168\) 0.359110 + 2.62127i 0.0277059 + 0.202235i
\(169\) 2.69771 + 5.90716i 0.207516 + 0.454397i
\(170\) 4.10720 + 4.73996i 0.315008 + 0.363538i
\(171\) 6.23076 + 4.00427i 0.476478 + 0.306214i
\(172\) 3.00601 + 0.432199i 0.229206 + 0.0329549i
\(173\) −17.1645 2.46788i −1.30499 0.187629i −0.545479 0.838124i \(-0.683652\pi\)
−0.759510 + 0.650495i \(0.774561\pi\)
\(174\) 4.71441 7.33576i 0.357398 0.556123i
\(175\) 3.91734 + 13.6770i 0.296123 + 1.03388i
\(176\) −0.243288 + 0.111106i −0.0183385 + 0.00837491i
\(177\) −4.82157 + 3.09864i −0.362412 + 0.232908i
\(178\) −10.5660 3.10246i −0.791956 0.232539i
\(179\) −10.3800 + 11.9791i −0.775836 + 0.895362i −0.996801 0.0799194i \(-0.974534\pi\)
0.220966 + 0.975282i \(0.429079\pi\)
\(180\) 3.09089 0.907567i 0.230381 0.0676460i
\(181\) −0.685107 + 1.50017i −0.0509236 + 0.111507i −0.933384 0.358880i \(-0.883159\pi\)
0.882460 + 0.470388i \(0.155886\pi\)
\(182\) 6.46233 + 1.94427i 0.479020 + 0.144119i
\(183\) 10.7498i 0.794652i
\(184\) −3.54519 + 3.22980i −0.261355 + 0.238104i
\(185\) 11.4669i 0.843065i
\(186\) −0.434058 3.01894i −0.0318266 0.221359i
\(187\) 0.473669 + 0.216318i 0.0346381 + 0.0158187i
\(188\) −3.02252 10.2938i −0.220440 0.750750i
\(189\) −1.08306 2.41391i −0.0787810 0.175586i
\(190\) −22.8927 6.72191i −1.66081 0.487659i
\(191\) −1.00517 1.56407i −0.0727314 0.113172i 0.802983 0.596002i \(-0.203245\pi\)
−0.875714 + 0.482830i \(0.839609\pi\)
\(192\) −0.909632 + 0.415415i −0.0656470 + 0.0299800i
\(193\) 1.13263 + 1.30712i 0.0815282 + 0.0940886i 0.795048 0.606546i \(-0.207446\pi\)
−0.713520 + 0.700635i \(0.752900\pi\)
\(194\) 0.828784 + 0.532627i 0.0595032 + 0.0382404i
\(195\) 1.16936 8.13308i 0.0837397 0.582422i
\(196\) −5.93858 + 3.70585i −0.424184 + 0.264704i
\(197\) 22.2661 + 14.3096i 1.58640 + 1.01952i 0.973308 + 0.229501i \(0.0737095\pi\)
0.613089 + 0.790014i \(0.289927\pi\)
\(198\) 0.202131 0.175147i 0.0143648 0.0124472i
\(199\) −0.0154996 0.0339393i −0.00109873 0.00240589i 0.909082 0.416618i \(-0.136785\pi\)
−0.910181 + 0.414212i \(0.864057\pi\)
\(200\) −4.52365 + 2.90717i −0.319870 + 0.205568i
\(201\) −9.22364 2.70831i −0.650586 0.191029i
\(202\) −13.3591 11.5757i −0.939943 0.814465i
\(203\) 22.8139 + 3.43511i 1.60122 + 0.241097i
\(204\) 1.77101 + 0.808793i 0.123995 + 0.0566268i
\(205\) 35.0999 5.04661i 2.45148 0.352470i
\(206\) −9.60557 −0.669252
\(207\) 2.49165 4.09777i 0.173182 0.284814i
\(208\) 2.55068i 0.176858i
\(209\) −1.96076 + 0.281915i −0.135629 + 0.0195005i
\(210\) 5.53841 + 6.47819i 0.382186 + 0.447038i
\(211\) −8.04736 + 2.36292i −0.554003 + 0.162670i −0.546738 0.837304i \(-0.684131\pi\)
−0.00726506 + 0.999974i \(0.502313\pi\)
\(212\) −3.97253 3.44222i −0.272835 0.236413i
\(213\) −3.69680 + 12.5901i −0.253300 + 0.862662i
\(214\) 3.06489 + 4.76906i 0.209511 + 0.326006i
\(215\) 8.89900 4.06404i 0.606907 0.277165i
\(216\) 0.755750 0.654861i 0.0514222 0.0445576i
\(217\) 6.81734 4.31747i 0.462792 0.293089i
\(218\) −10.1929 1.46551i −0.690348 0.0992571i
\(219\) −1.70087 + 11.8298i −0.114934 + 0.799386i
\(220\) −0.465806 + 0.724808i −0.0314046 + 0.0488665i
\(221\) 3.75310 3.25208i 0.252461 0.218758i
\(222\) 1.47873 + 3.23796i 0.0992455 + 0.217317i
\(223\) −2.97112 4.62315i −0.198961 0.309589i 0.727409 0.686204i \(-0.240724\pi\)
−0.926370 + 0.376615i \(0.877088\pi\)
\(224\) −1.98796 1.74585i −0.132826 0.116650i
\(225\) 3.52136 4.06387i 0.234758 0.270925i
\(226\) 5.67086 + 19.3132i 0.377220 + 1.28469i
\(227\) −7.94312 + 17.3930i −0.527203 + 1.15441i 0.439437 + 0.898274i \(0.355178\pi\)
−0.966640 + 0.256140i \(0.917549\pi\)
\(228\) −7.33113 + 1.05406i −0.485516 + 0.0698067i
\(229\) −4.96452 −0.328065 −0.164032 0.986455i \(-0.552450\pi\)
−0.164032 + 0.986455i \(0.552450\pi\)
\(230\) −3.98241 + 14.9271i −0.262592 + 0.984262i
\(231\) 0.641710 + 0.298231i 0.0422214 + 0.0196222i
\(232\) 1.24099 + 8.63128i 0.0814750 + 0.566671i
\(233\) −6.36746 + 13.9428i −0.417146 + 0.913423i 0.578094 + 0.815970i \(0.303797\pi\)
−0.995240 + 0.0974529i \(0.968930\pi\)
\(234\) −0.718611 2.44736i −0.0469771 0.159989i
\(235\) −26.1187 22.6320i −1.70380 1.47635i
\(236\) 1.61473 5.49925i 0.105110 0.357971i
\(237\) 3.80959 2.44827i 0.247459 0.159032i
\(238\) −0.0342477 + 5.15104i −0.00221995 + 0.333892i
\(239\) 0.508813 + 0.587202i 0.0329124 + 0.0379829i 0.771967 0.635662i \(-0.219273\pi\)
−0.739055 + 0.673645i \(0.764728\pi\)
\(240\) −1.74161 + 2.71000i −0.112420 + 0.174929i
\(241\) 1.78386 12.4070i 0.114909 0.799207i −0.848119 0.529806i \(-0.822265\pi\)
0.963028 0.269402i \(-0.0868260\pi\)
\(242\) 1.55528 10.8172i 0.0999774 0.695358i
\(243\) −0.540641 + 0.841254i −0.0346821 + 0.0539664i
\(244\) 7.03965 + 8.12419i 0.450668 + 0.520098i
\(245\) −9.63937 + 20.3855i −0.615837 + 1.30238i
\(246\) 9.26050 5.95136i 0.590428 0.379445i
\(247\) −5.32241 + 18.1265i −0.338657 + 1.15336i
\(248\) 2.30502 + 1.99731i 0.146369 + 0.126830i
\(249\) −1.99664 6.79992i −0.126532 0.430927i
\(250\) −0.504868 + 1.10551i −0.0319307 + 0.0699184i
\(251\) 0.601971 + 4.18680i 0.0379961 + 0.264268i 0.999960 0.00890685i \(-0.00283518\pi\)
−0.961964 + 0.273175i \(0.911926\pi\)
\(252\) 2.39930 + 1.11506i 0.151142 + 0.0702423i
\(253\) 0.214074 + 1.26469i 0.0134587 + 0.0795103i
\(254\) −3.81885 −0.239616
\(255\) 6.20803 0.892580i 0.388762 0.0558955i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 0.212064 + 0.722224i 0.0132282 + 0.0450511i 0.965843 0.259129i \(-0.0834356\pi\)
−0.952614 + 0.304180i \(0.901617\pi\)
\(258\) 1.98876 2.29515i 0.123815 0.142890i
\(259\) −6.21460 + 7.07642i −0.386157 + 0.439707i
\(260\) 4.44229 + 6.91234i 0.275499 + 0.428685i
\(261\) −3.62243 7.93202i −0.224223 0.490980i
\(262\) 2.59764 2.25087i 0.160483 0.139059i
\(263\) −9.56454 + 14.8827i −0.589775 + 0.917708i 0.410209 + 0.911992i \(0.365456\pi\)
−0.999984 + 0.00571615i \(0.998180\pi\)
\(264\) −0.0380631 + 0.264735i −0.00234262 + 0.0162933i
\(265\) −16.7605 2.40980i −1.02959 0.148033i
\(266\) −10.4845 16.5551i −0.642843 1.01506i
\(267\) −8.32237 + 7.21138i −0.509321 + 0.441329i
\(268\) 8.74433 3.99340i 0.534145 0.243936i
\(269\) −5.66968 8.82219i −0.345686 0.537898i 0.624260 0.781216i \(-0.285401\pi\)
−0.969947 + 0.243318i \(0.921764\pi\)
\(270\) 0.907567 3.09089i 0.0552328 0.188106i
\(271\) 3.59312 + 3.11345i 0.218266 + 0.189129i 0.757130 0.653264i \(-0.226601\pi\)
−0.538864 + 0.842393i \(0.681146\pi\)
\(272\) −1.86809 + 0.548520i −0.113269 + 0.0332589i
\(273\) 5.12943 4.38531i 0.310447 0.265411i
\(274\) 11.6847 1.68000i 0.705897 0.101493i
\(275\) 1.43819i 0.0867261i
\(276\) 0.800404 + 4.72857i 0.0481787 + 0.284626i
\(277\) 27.2543 1.63755 0.818777 0.574112i \(-0.194653\pi\)
0.818777 + 0.574112i \(0.194653\pi\)
\(278\) 11.8652 1.70595i 0.711625 0.102316i
\(279\) −2.77436 1.26701i −0.166097 0.0758538i
\(280\) −8.42796 1.26901i −0.503667 0.0758376i
\(281\) 4.49689 + 3.89658i 0.268262 + 0.232450i 0.778595 0.627526i \(-0.215933\pi\)
−0.510333 + 0.859977i \(0.670478\pi\)
\(282\) −10.2938 3.02252i −0.612985 0.179989i
\(283\) −26.3577 + 16.9391i −1.56680 + 1.00692i −0.586378 + 0.810037i \(0.699447\pi\)
−0.980426 + 0.196887i \(0.936917\pi\)
\(284\) −5.45093 11.9359i −0.323453 0.708264i
\(285\) −18.0316 + 15.6244i −1.06810 + 0.925513i
\(286\) 0.573902 + 0.368825i 0.0339356 + 0.0218091i
\(287\) 24.3958 + 15.9084i 1.44004 + 0.939042i
\(288\) −0.142315 + 0.989821i −0.00838598 + 0.0583258i
\(289\) −11.1124 7.14153i −0.653673 0.420090i
\(290\) 18.3954 + 21.2294i 1.08021 + 1.24663i
\(291\) 0.896149 0.409258i 0.0525332 0.0239911i
\(292\) −6.46146 10.0542i −0.378128 0.588379i
\(293\) −24.8333 7.29172i −1.45078 0.425987i −0.540979 0.841036i \(-0.681946\pi\)
−0.909799 + 0.415049i \(0.863764\pi\)
\(294\) −0.0930776 + 6.99938i −0.00542840 + 0.408212i
\(295\) −5.20164 17.7152i −0.302851 1.03142i
\(296\) −3.23796 1.47873i −0.188202 0.0859492i
\(297\) −0.0380631 0.264735i −0.00220865 0.0153615i
\(298\) 10.6892i 0.619207i
\(299\) 11.8193 + 3.15327i 0.683525 + 0.182358i
\(300\) 5.37727i 0.310457i
\(301\) 7.69425 + 2.31491i 0.443489 + 0.133429i
\(302\) 2.36607 5.18096i 0.136152 0.298131i
\(303\) −16.9606 + 4.98008i −0.974360 + 0.286098i
\(304\) 4.85024 5.59747i 0.278180 0.321037i
\(305\) 33.2266 + 9.75621i 1.90255 + 0.558639i
\(306\) 1.63788 1.05260i 0.0936314 0.0601732i
\(307\) 9.39814 4.29199i 0.536380 0.244957i −0.128759 0.991676i \(-0.541099\pi\)
0.665139 + 0.746719i \(0.268372\pi\)
\(308\) −0.680272 + 0.194843i −0.0387621 + 0.0111022i
\(309\) −5.19316 + 8.08072i −0.295429 + 0.459696i
\(310\) 9.72514 + 1.39826i 0.552351 + 0.0794160i
\(311\) −15.4259 2.21791i −0.874721 0.125766i −0.309692 0.950837i \(-0.600226\pi\)
−0.565029 + 0.825071i \(0.691135\pi\)
\(312\) 2.14577 + 1.37900i 0.121480 + 0.0780707i
\(313\) 8.21607 + 9.48185i 0.464400 + 0.535946i 0.938845 0.344339i \(-0.111897\pi\)
−0.474446 + 0.880285i \(0.657352\pi\)
\(314\) 9.68618 + 21.2098i 0.546623 + 1.19694i
\(315\) 8.44409 1.15683i 0.475771 0.0651799i
\(316\) −1.27582 + 4.34503i −0.0717703 + 0.244427i
\(317\) −8.17030 + 9.42902i −0.458890 + 0.529587i −0.937288 0.348556i \(-0.886672\pi\)
0.478398 + 0.878143i \(0.341218\pi\)
\(318\) −5.04349 + 1.48090i −0.282825 + 0.0830449i
\(319\) 2.12148 + 0.968846i 0.118780 + 0.0542449i
\(320\) −0.458450 3.18859i −0.0256281 0.178248i
\(321\) 5.66899 0.316412
\(322\) −10.5475 + 7.05343i −0.587788 + 0.393072i
\(323\) −14.4201 −0.802358
\(324\) −0.142315 0.989821i −0.00790638 0.0549901i
\(325\) 12.4763 + 5.69772i 0.692059 + 0.316053i
\(326\) −4.36927 + 1.28293i −0.241992 + 0.0710551i
\(327\) −6.74355 + 7.78247i −0.372919 + 0.430372i
\(328\) −3.10131 + 10.5621i −0.171241 + 0.583193i
\(329\) −3.85265 28.1218i −0.212404 1.55041i
\(330\) 0.357913 + 0.783721i 0.0197025 + 0.0431424i
\(331\) 11.7551 + 13.5661i 0.646118 + 0.745659i 0.980444 0.196798i \(-0.0630543\pi\)
−0.334326 + 0.942457i \(0.608509\pi\)
\(332\) 5.96196 + 3.83152i 0.327205 + 0.210282i
\(333\) 3.52340 + 0.506589i 0.193081 + 0.0277609i
\(334\) 6.02447 + 0.866187i 0.329644 + 0.0473957i
\(335\) 16.7421 26.0513i 0.914721 1.42333i
\(336\) −2.54348 + 0.728500i −0.138758 + 0.0397429i
\(337\) 12.7908 5.84138i 0.696762 0.318201i −0.0353595 0.999375i \(-0.511258\pi\)
0.732121 + 0.681174i \(0.238530\pi\)
\(338\) −5.46311 + 3.51093i −0.297154 + 0.190969i
\(339\) 19.3132 + 5.67086i 1.04895 + 0.307999i
\(340\) −4.10720 + 4.73996i −0.222744 + 0.257060i
\(341\) 0.782696 0.229820i 0.0423854 0.0124455i
\(342\) −3.07678 + 6.73721i −0.166373 + 0.364306i
\(343\) −16.9967 + 7.35607i −0.917736 + 0.397190i
\(344\) 3.03692i 0.163740i
\(345\) 10.4044 + 11.4204i 0.560154 + 0.614854i
\(346\) 17.3410i 0.932256i
\(347\) 4.80341 + 33.4084i 0.257860 + 1.79346i 0.548004 + 0.836476i \(0.315388\pi\)
−0.290143 + 0.956983i \(0.593703\pi\)
\(348\) 7.93202 + 3.62243i 0.425201 + 0.194183i
\(349\) −3.61476 12.3107i −0.193494 0.658979i −0.997892 0.0648891i \(-0.979331\pi\)
0.804399 0.594090i \(-0.202488\pi\)
\(350\) −12.9803 + 5.82391i −0.693825 + 0.311301i
\(351\) −2.44736 0.718611i −0.130631 0.0383566i
\(352\) −0.144598 0.224999i −0.00770711 0.0119925i
\(353\) 7.78017 3.55308i 0.414096 0.189112i −0.197462 0.980310i \(-0.563270\pi\)
0.611559 + 0.791199i \(0.290543\pi\)
\(354\) −3.75328 4.33151i −0.199484 0.230217i
\(355\) −35.5596 22.8528i −1.88731 1.21290i
\(356\) 1.56718 10.9000i 0.0830605 0.577698i
\(357\) 4.31481 + 2.81367i 0.228364 + 0.148915i
\(358\) −13.3344 8.56951i −0.704746 0.452913i
\(359\) 11.7528 10.1839i 0.620289 0.537484i −0.287032 0.957921i \(-0.592669\pi\)
0.907322 + 0.420437i \(0.138123\pi\)
\(360\) 1.33821 + 2.93027i 0.0705298 + 0.154439i
\(361\) 30.1644 19.3855i 1.58760 1.02029i
\(362\) −1.58241 0.464636i −0.0831694 0.0244207i
\(363\) −8.25918 7.15662i −0.433495 0.375625i
\(364\) −1.00480 + 6.67326i −0.0526657 + 0.349774i
\(365\) −35.0210 15.9936i −1.83308 0.837142i
\(366\) 10.6404 1.52986i 0.556184 0.0799672i
\(367\) −19.9336 −1.04052 −0.520262 0.854006i \(-0.674166\pi\)
−0.520262 + 0.854006i \(0.674166\pi\)
\(368\) −3.70146 3.04946i −0.192952 0.158964i
\(369\) 11.0080i 0.573052i
\(370\) −11.3502 + 1.63191i −0.590069 + 0.0848391i
\(371\) −9.03718 10.5707i −0.469187 0.548801i
\(372\) 2.92644 0.859279i 0.151729 0.0445515i
\(373\) 13.4537 + 11.6577i 0.696608 + 0.603614i 0.929471 0.368895i \(-0.120264\pi\)
−0.232863 + 0.972510i \(0.574809\pi\)
\(374\) −0.146706 + 0.499633i −0.00758596 + 0.0258354i
\(375\) 0.657060 + 1.02240i 0.0339304 + 0.0527967i
\(376\) 9.75884 4.45671i 0.503274 0.229837i
\(377\) 16.8094 14.5655i 0.865730 0.750159i
\(378\) 2.23521 1.41557i 0.114967 0.0728091i
\(379\) −8.42809 1.21178i −0.432922 0.0622447i −0.0775907 0.996985i \(-0.524723\pi\)
−0.355331 + 0.934741i \(0.615632\pi\)
\(380\) 3.39552 23.6163i 0.174186 1.21149i
\(381\) −2.06462 + 3.21262i −0.105774 + 0.164587i
\(382\) 1.40510 1.21753i 0.0718912 0.0622941i
\(383\) −4.72656 10.3497i −0.241516 0.528846i 0.749593 0.661899i \(-0.230249\pi\)
−0.991109 + 0.133053i \(0.957522\pi\)
\(384\) −0.540641 0.841254i −0.0275895 0.0429300i
\(385\) −1.50419 + 1.71279i −0.0766608 + 0.0872918i
\(386\) −1.13263 + 1.30712i −0.0576492 + 0.0665307i
\(387\) −0.855600 2.91391i −0.0434926 0.148122i
\(388\) −0.409258 + 0.896149i −0.0207769 + 0.0454951i
\(389\) 6.86744 0.987389i 0.348193 0.0500626i 0.0340003 0.999422i \(-0.489175\pi\)
0.314193 + 0.949359i \(0.398266\pi\)
\(390\) 8.21672 0.416070
\(391\) 0.232294 + 9.33436i 0.0117476 + 0.472059i
\(392\) −4.51328 5.35073i −0.227955 0.270253i
\(393\) −0.489160 3.40218i −0.0246749 0.171617i
\(394\) −10.9951 + 24.0760i −0.553927 + 1.21293i
\(395\) 4.10989 + 13.9970i 0.206791 + 0.704265i
\(396\) 0.202131 + 0.175147i 0.0101574 + 0.00880148i
\(397\) 9.14757 31.1537i 0.459103 1.56356i −0.326727 0.945119i \(-0.605946\pi\)
0.785830 0.618443i \(-0.212236\pi\)
\(398\) 0.0313880 0.0201719i 0.00157334 0.00101112i
\(399\) −19.5954 0.130284i −0.980996 0.00652234i
\(400\) −3.52136 4.06387i −0.176068 0.203194i
\(401\) 20.1527 31.3582i 1.00638 1.56596i 0.195532 0.980697i \(-0.437357\pi\)
0.810847 0.585259i \(-0.199007\pi\)
\(402\) 1.36808 9.51519i 0.0682335 0.474575i
\(403\) 1.10714 7.70036i 0.0551508 0.383582i
\(404\) 9.55670 14.8705i 0.475464 0.739836i
\(405\) −2.10955 2.43455i −0.104825 0.120974i
\(406\) −0.153389 + 23.0705i −0.00761257 + 1.14497i
\(407\) −0.800915 + 0.514717i −0.0396999 + 0.0255136i
\(408\) −0.548520 + 1.86809i −0.0271558 + 0.0924841i
\(409\) 23.9492 + 20.7521i 1.18421 + 1.02613i 0.999057 + 0.0434159i \(0.0138240\pi\)
0.185155 + 0.982709i \(0.440721\pi\)
\(410\) 9.99048 + 34.0244i 0.493394 + 1.68035i
\(411\) 4.90391 10.7381i 0.241892 0.529669i
\(412\) −1.36702 9.50780i −0.0673480 0.468416i
\(413\) 6.39088 13.7514i 0.314475 0.676661i
\(414\) 4.41066 + 1.88311i 0.216772 + 0.0925500i
\(415\) 22.8299 1.12067
\(416\) −2.52472 + 0.363000i −0.123785 + 0.0177976i
\(417\) 4.97965 10.9039i 0.243855 0.533967i
\(418\) −0.558092 1.90069i −0.0272972 0.0929656i
\(419\) 5.05977 5.83929i 0.247186 0.285268i −0.618575 0.785726i \(-0.712290\pi\)
0.865761 + 0.500458i \(0.166835\pi\)
\(420\) −5.62406 + 6.40398i −0.274426 + 0.312482i
\(421\) 8.41523 + 13.0944i 0.410133 + 0.638180i 0.983455 0.181150i \(-0.0579820\pi\)
−0.573322 + 0.819330i \(0.694346\pi\)
\(422\) −3.48413 7.62917i −0.169605 0.371382i
\(423\) −8.10794 + 7.02557i −0.394222 + 0.341595i
\(424\) 2.84183 4.42198i 0.138012 0.214750i
\(425\) −1.48994 + 10.3627i −0.0722725 + 0.502666i
\(426\) −12.9881 1.86741i −0.629276 0.0904762i
\(427\) 15.2172 + 24.0282i 0.736411 + 1.16280i
\(428\) −4.28434 + 3.71240i −0.207091 + 0.179446i
\(429\) 0.620550 0.283396i 0.0299604 0.0136825i
\(430\) 5.28913 + 8.23005i 0.255064 + 0.396888i
\(431\) 4.06968 13.8601i 0.196030 0.667616i −0.801540 0.597941i \(-0.795986\pi\)
0.997570 0.0696748i \(-0.0221962\pi\)
\(432\) 0.755750 + 0.654861i 0.0363610 + 0.0315070i
\(433\) 4.74429 1.39305i 0.227996 0.0669457i −0.165739 0.986170i \(-0.553001\pi\)
0.393735 + 0.919224i \(0.371183\pi\)
\(434\) 5.24373 + 6.13351i 0.251707 + 0.294418i
\(435\) 27.8046 3.99770i 1.33313 0.191675i
\(436\) 10.2977i 0.493170i
\(437\) −19.9412 29.3947i −0.953919 1.40614i
\(438\) −11.9515 −0.571064
\(439\) −27.2630 + 3.91983i −1.30119 + 0.187083i −0.757850 0.652428i \(-0.773750\pi\)
−0.543342 + 0.839512i \(0.682841\pi\)
\(440\) −0.783721 0.357913i −0.0373624 0.0170629i
\(441\) 5.83793 + 3.86245i 0.277997 + 0.183926i
\(442\) 3.75310 + 3.25208i 0.178517 + 0.154686i
\(443\) −12.5142 3.67449i −0.594566 0.174580i −0.0294144 0.999567i \(-0.509364\pi\)
−0.565152 + 0.824987i \(0.691182\pi\)
\(444\) −2.99455 + 1.92448i −0.142115 + 0.0913319i
\(445\) −14.7365 32.2683i −0.698575 1.52967i
\(446\) 4.15326 3.59882i 0.196663 0.170409i
\(447\) −8.99230 5.77900i −0.425321 0.273337i
\(448\) 1.44517 2.21619i 0.0682777 0.104705i
\(449\) 1.80741 12.5708i 0.0852968 0.593253i −0.901682 0.432400i \(-0.857667\pi\)
0.986979 0.160852i \(-0.0514242\pi\)
\(450\) 4.52365 + 2.90717i 0.213247 + 0.137045i
\(451\) 1.92802 + 2.22505i 0.0907868 + 0.104773i
\(452\) −18.3096 + 8.36170i −0.861209 + 0.393301i
\(453\) −3.07931 4.79150i −0.144679 0.225124i
\(454\) −18.3464 5.38698i −0.861039 0.252824i
\(455\) 8.89920 + 19.8345i 0.417201 + 0.929854i
\(456\) −2.08666 7.10650i −0.0977167 0.332793i
\(457\) 0.201655 + 0.0920928i 0.00943303 + 0.00430792i 0.420126 0.907466i \(-0.361986\pi\)
−0.410693 + 0.911774i \(0.634713\pi\)
\(458\) −0.706524 4.91399i −0.0330137 0.229615i
\(459\) 1.94695i 0.0908759i
\(460\) −15.3419 1.81753i −0.715320 0.0847429i
\(461\) 6.57140i 0.306060i 0.988222 + 0.153030i \(0.0489032\pi\)
−0.988222 + 0.153030i \(0.951097\pi\)
\(462\) −0.203871 + 0.677621i −0.00948493 + 0.0315258i
\(463\) −16.5910 + 36.3293i −0.771050 + 1.68836i −0.0467223 + 0.998908i \(0.514878\pi\)
−0.724328 + 0.689456i \(0.757850\pi\)
\(464\) −8.36681 + 2.45672i −0.388419 + 0.114050i
\(465\) 6.43410 7.42535i 0.298374 0.344342i
\(466\) −14.7071 4.31838i −0.681292 0.200045i
\(467\) 4.95006 3.18121i 0.229062 0.147209i −0.421076 0.907025i \(-0.638348\pi\)
0.650138 + 0.759816i \(0.274711\pi\)
\(468\) 2.32018 1.05959i 0.107251 0.0489797i
\(469\) 24.4506 7.00310i 1.12902 0.323373i
\(470\) 18.6846 29.0738i 0.861855 1.34107i
\(471\) 23.0795 + 3.31834i 1.06345 + 0.152901i
\(472\) 5.67308 + 0.815665i 0.261124 + 0.0375440i
\(473\) 0.683306 + 0.439134i 0.0314184 + 0.0201914i
\(474\) 2.96551 + 3.42239i 0.136211 + 0.157195i
\(475\) −16.5447 36.2278i −0.759122 1.66225i
\(476\) −5.10348 + 0.699170i −0.233918 + 0.0320464i
\(477\) −1.48090 + 5.04349i −0.0678059 + 0.230926i
\(478\) −0.508813 + 0.587202i −0.0232726 + 0.0268580i
\(479\) 14.2167 4.17439i 0.649576 0.190733i 0.0596869 0.998217i \(-0.480990\pi\)
0.589889 + 0.807485i \(0.299172\pi\)
\(480\) −2.93027 1.33821i −0.133748 0.0610806i
\(481\) 1.29215 + 8.98709i 0.0589169 + 0.409776i
\(482\) 12.5346 0.570936
\(483\) 0.231327 + 12.6865i 0.0105258 + 0.577254i
\(484\) 10.9285 0.496748
\(485\) 0.451655 + 3.14133i 0.0205086 + 0.142640i
\(486\) −0.909632 0.415415i −0.0412617 0.0188436i
\(487\) 20.3179 5.96588i 0.920692 0.270340i 0.213157 0.977018i \(-0.431625\pi\)
0.707535 + 0.706678i \(0.249807\pi\)
\(488\) −7.03965 + 8.12419i −0.318670 + 0.367765i
\(489\) −1.28293 + 4.36927i −0.0580163 + 0.197585i
\(490\) −21.5498 6.64010i −0.973522 0.299969i
\(491\) −8.03538 17.5950i −0.362632 0.794053i −0.999729 0.0232696i \(-0.992592\pi\)
0.637097 0.770783i \(-0.280135\pi\)
\(492\) 7.20869 + 8.31927i 0.324993 + 0.375062i
\(493\) 14.2824 + 9.17872i 0.643246 + 0.413389i
\(494\) −18.6994 2.68857i −0.841326 0.120964i
\(495\) 0.852811 + 0.122616i 0.0383310 + 0.00551117i
\(496\) −1.64894 + 2.56581i −0.0740398 + 0.115208i
\(497\) −9.55913 33.3747i −0.428786 1.49706i
\(498\) 6.44655 2.94404i 0.288877 0.131926i
\(499\) −3.17969 + 2.04346i −0.142343 + 0.0914780i −0.609874 0.792499i \(-0.708780\pi\)
0.467531 + 0.883977i \(0.345144\pi\)
\(500\) −1.16611 0.342399i −0.0521498 0.0153126i
\(501\) 3.98576 4.59981i 0.178070 0.205504i
\(502\) −4.05851 + 1.19169i −0.181140 + 0.0531876i
\(503\) −0.492114 + 1.07758i −0.0219423 + 0.0480469i −0.920286 0.391247i \(-0.872044\pi\)
0.898344 + 0.439294i \(0.144771\pi\)
\(504\) −0.762256 + 2.53357i −0.0339536 + 0.112854i
\(505\) 56.9431i 2.53393i
\(506\) −1.22135 + 0.391879i −0.0542957 + 0.0174211i
\(507\) 6.49401i 0.288409i
\(508\) −0.543478 3.77998i −0.0241130 0.167709i
\(509\) 20.1446 + 9.19974i 0.892894 + 0.407771i 0.808387 0.588652i \(-0.200341\pi\)
0.0845075 + 0.996423i \(0.473068\pi\)
\(510\) 1.76699 + 6.01781i 0.0782436 + 0.266473i
\(511\) −12.9442 28.8498i −0.572616 1.27624i
\(512\) 0.959493 + 0.281733i 0.0424040 + 0.0124509i
\(513\) 4.00427 + 6.23076i 0.176793 + 0.275095i
\(514\) −0.684693 + 0.312689i −0.0302005 + 0.0137921i
\(515\) −20.2635 23.3853i −0.892915 1.03048i
\(516\) 2.55482 + 1.64188i 0.112470 + 0.0722799i
\(517\) 0.408354 2.84017i 0.0179594 0.124910i
\(518\) −7.88882 5.14427i −0.346615 0.226026i
\(519\) −14.5881 9.37523i −0.640348 0.411527i
\(520\) −6.20978 + 5.38081i −0.272317 + 0.235964i
\(521\) −6.22281 13.6261i −0.272626 0.596968i 0.722953 0.690898i \(-0.242784\pi\)
−0.995579 + 0.0939293i \(0.970057\pi\)
\(522\) 7.33576 4.71441i 0.321077 0.206344i
\(523\) 8.31615 + 2.44184i 0.363640 + 0.106774i 0.458448 0.888721i \(-0.348406\pi\)
−0.0948080 + 0.995496i \(0.530224\pi\)
\(524\) 2.59764 + 2.25087i 0.113478 + 0.0983296i
\(525\) −2.11828 + 14.0683i −0.0924495 + 0.613993i
\(526\) −16.0924 7.34916i −0.701663 0.320439i
\(527\) 5.87773 0.845089i 0.256038 0.0368127i
\(528\) −0.267457 −0.0116396
\(529\) −18.7064 + 13.3818i −0.813320 + 0.581816i
\(530\) 16.9329i 0.735518i
\(531\) −5.67308 + 0.815665i −0.246191 + 0.0353969i
\(532\) 14.8945 12.7338i 0.645759 0.552079i
\(533\) 26.9405 7.91045i 1.16692 0.342640i
\(534\) −8.32237 7.21138i −0.360144 0.312067i
\(535\) −5.14499 + 17.5222i −0.222437 + 0.757552i
\(536\) 5.19720 + 8.08700i 0.224485 + 0.349305i
\(537\) −14.4183 + 6.58460i −0.622194 + 0.284147i
\(538\) 7.92551 6.86750i 0.341693 0.296079i
\(539\) −1.85652 + 0.241777i −0.0799661 + 0.0104141i
\(540\) 3.18859 + 0.458450i 0.137215 + 0.0197285i
\(541\) 4.15579 28.9041i 0.178671 1.24269i −0.681170 0.732125i \(-0.738529\pi\)
0.859842 0.510561i \(-0.170562\pi\)
\(542\) −2.57041 + 3.99963i −0.110409 + 0.171799i
\(543\) −1.24639 + 1.08000i −0.0534877 + 0.0463474i
\(544\) −0.808793 1.77101i −0.0346767 0.0759314i
\(545\) −17.9345 27.9067i −0.768231 1.19539i
\(546\) 5.07066 + 4.45312i 0.217004 + 0.190576i
\(547\) 17.7632 20.4998i 0.759500 0.876509i −0.235953 0.971764i \(-0.575821\pi\)
0.995453 + 0.0952550i \(0.0303667\pi\)
\(548\) 3.32581 + 11.3267i 0.142071 + 0.483851i
\(549\) 4.46565 9.77841i 0.190589 0.417332i
\(550\) −1.42355 + 0.204676i −0.0607004 + 0.00872740i
\(551\) −64.5851 −2.75142
\(552\) −4.56653 + 1.46520i −0.194364 + 0.0623632i
\(553\) −5.04952 + 10.8651i −0.214727 + 0.462033i
\(554\) 3.87869 + 26.9769i 0.164790 + 1.14614i
\(555\) −4.76353 + 10.4307i −0.202201 + 0.442758i
\(556\) 3.37718 + 11.5016i 0.143224 + 0.487777i
\(557\) 2.59386 + 2.24759i 0.109905 + 0.0952337i 0.708080 0.706132i \(-0.249562\pi\)
−0.598175 + 0.801366i \(0.704107\pi\)
\(558\) 0.859279 2.92644i 0.0363762 0.123886i
\(559\) 6.51655 4.18793i 0.275621 0.177131i
\(560\) 0.0566653 8.52277i 0.00239455 0.360153i
\(561\) 0.341003 + 0.393539i 0.0143972 + 0.0166152i
\(562\) −3.21694 + 5.00566i −0.135699 + 0.211151i
\(563\) 3.97156 27.6228i 0.167381 1.16416i −0.716888 0.697188i \(-0.754434\pi\)
0.884270 0.466976i \(-0.154657\pi\)
\(564\) 1.52680 10.6191i 0.0642900 0.447147i
\(565\) −35.0560 + 54.5482i −1.47482 + 2.29486i
\(566\) −20.5178 23.6788i −0.862426 0.995293i
\(567\) 0.0175904 2.64569i 0.000738728 0.111109i
\(568\) 11.0386 7.09410i 0.463171 0.297662i
\(569\) 5.16255 17.5820i 0.216425 0.737077i −0.777680 0.628660i \(-0.783604\pi\)
0.994106 0.108417i \(-0.0345782\pi\)
\(570\) −18.0316 15.6244i −0.755260 0.654436i
\(571\) 9.54321 + 32.5012i 0.399371 + 1.36013i 0.876544 + 0.481323i \(0.159843\pi\)
−0.477173 + 0.878810i \(0.658338\pi\)
\(572\) −0.283396 + 0.620550i −0.0118494 + 0.0259465i
\(573\) −0.264594 1.84029i −0.0110536 0.0768793i
\(574\) −12.2746 + 26.4114i −0.512331 + 1.10239i
\(575\) −23.1843 + 11.2932i −0.966850 + 0.470959i
\(576\) −1.00000 −0.0416667
\(577\) −27.6279 + 3.97229i −1.15016 + 0.165369i −0.690913 0.722938i \(-0.742791\pi\)
−0.459251 + 0.888306i \(0.651882\pi\)
\(578\) 5.48737 12.0157i 0.228245 0.499786i
\(579\) 0.487276 + 1.65951i 0.0202505 + 0.0689668i
\(580\) −18.3954 + 21.2294i −0.763827 + 0.881503i
\(581\) 14.0887 + 12.3729i 0.584497 + 0.513313i
\(582\) 0.532627 + 0.828784i 0.0220781 + 0.0343542i
\(583\) −0.584018 1.27882i −0.0241875 0.0529633i
\(584\) 9.03232 7.82655i 0.373760 0.323865i
\(585\) 4.44229 6.91234i 0.183666 0.285790i
\(586\) 3.68335 25.6183i 0.152158 1.05828i
\(587\) 7.62639 + 1.09651i 0.314775 + 0.0452578i 0.297892 0.954600i \(-0.403717\pi\)
0.0168831 + 0.999857i \(0.494626\pi\)
\(588\) −6.94138 + 0.903986i −0.286258 + 0.0372797i
\(589\) −17.0722 + 14.7931i −0.703447 + 0.609541i
\(590\) 16.7946 7.66983i 0.691422 0.315762i
\(591\) 14.3096 + 22.2661i 0.588617 + 0.915907i
\(592\) 1.00286 3.41544i 0.0412175 0.140374i
\(593\) −1.52323 1.31989i −0.0625515 0.0542012i 0.623024 0.782203i \(-0.285904\pi\)
−0.685575 + 0.728002i \(0.740449\pi\)
\(594\) 0.256623 0.0753514i 0.0105294 0.00309171i
\(595\) −12.6127 + 10.7830i −0.517071 + 0.442060i
\(596\) 10.5804 1.52123i 0.433389 0.0623119i
\(597\) 0.0373110i 0.00152704i
\(598\) −1.43912 + 12.1477i −0.0588500 + 0.496757i
\(599\) 27.2044 1.11154 0.555771 0.831335i \(-0.312423\pi\)
0.555771 + 0.831335i \(0.312423\pi\)
\(600\) −5.32254 + 0.765266i −0.217292 + 0.0312418i
\(601\) 5.49451 + 2.50926i 0.224126 + 0.102355i 0.524313 0.851525i \(-0.324322\pi\)
−0.300188 + 0.953880i \(0.597049\pi\)
\(602\) −1.19634 + 7.94538i −0.0487593 + 0.323830i
\(603\) −7.26505 6.29520i −0.295856 0.256360i
\(604\) 5.46495 + 1.60466i 0.222366 + 0.0652925i
\(605\) 29.6161 19.0331i 1.20407 0.773806i
\(606\) −7.34313 16.0792i −0.298294 0.653174i
\(607\) 11.8254 10.2468i 0.479979 0.415904i −0.380976 0.924585i \(-0.624412\pi\)
0.860955 + 0.508681i \(0.169867\pi\)
\(608\) 6.23076 + 4.00427i 0.252691 + 0.162394i
\(609\) 19.3252 + 12.6019i 0.783098 + 0.510655i
\(610\) −4.92827 + 34.2768i −0.199540 + 1.38783i
\(611\) −23.0206 14.7944i −0.931313 0.598519i
\(612\) 1.27498 + 1.47141i 0.0515381 + 0.0594781i
\(613\) −23.7270 + 10.8358i −0.958324 + 0.437652i −0.832270 0.554371i \(-0.812959\pi\)
−0.126055 + 0.992023i \(0.540232\pi\)
\(614\) 5.58580 + 8.69167i 0.225424 + 0.350767i
\(615\) 34.0244 + 9.99048i 1.37200 + 0.402855i
\(616\) −0.289672 0.645619i −0.0116712 0.0260127i
\(617\) 2.54198 + 8.65720i 0.102336 + 0.348526i 0.994704 0.102784i \(-0.0327751\pi\)
−0.892367 + 0.451310i \(0.850957\pi\)
\(618\) −8.73754 3.99030i −0.351475 0.160513i
\(619\) 1.52452 + 10.6033i 0.0612758 + 0.426182i 0.997250 + 0.0741133i \(0.0236127\pi\)
−0.935974 + 0.352069i \(0.885478\pi\)
\(620\) 9.82514i 0.394587i
\(621\) 3.96876 2.69239i 0.159261 0.108042i
\(622\) 15.5845i 0.624881i
\(623\) 8.39402 27.8998i 0.336299 1.11778i
\(624\) −1.05959 + 2.32018i −0.0424177 + 0.0928817i
\(625\) 22.0408 6.47177i 0.881632 0.258871i
\(626\) −8.21607 + 9.48185i −0.328380 + 0.378971i
\(627\) −1.90069 0.558092i −0.0759061 0.0222880i
\(628\) −19.6154 + 12.6061i −0.782740 + 0.503036i
\(629\) −6.30415 + 2.87901i −0.251363 + 0.114794i
\(630\) 2.34677 + 8.19351i 0.0934977 + 0.326437i
\(631\) 4.42696 6.88849i 0.176235 0.274226i −0.741887 0.670525i \(-0.766069\pi\)
0.918122 + 0.396298i \(0.129705\pi\)
\(632\) −4.48237 0.644468i −0.178299 0.0256356i
\(633\) −8.30173 1.19361i −0.329964 0.0474417i
\(634\) −10.4958 6.74524i −0.416842 0.267888i
\(635\) −8.05606 9.29719i −0.319695 0.368948i
\(636\) −2.18359 4.78140i −0.0865851 0.189595i
\(637\) −5.25763 + 17.0631i −0.208315 + 0.676067i
\(638\) −0.657067 + 2.23776i −0.0260135 + 0.0885939i
\(639\) −8.59286 + 9.91669i −0.339928 + 0.392298i
\(640\) 3.09089 0.907567i 0.122178 0.0358747i
\(641\) 26.6186 + 12.1563i 1.05137 + 0.480146i 0.864706 0.502278i \(-0.167505\pi\)
0.186666 + 0.982423i \(0.440232\pi\)
\(642\) 0.806782 + 5.61129i 0.0318411 + 0.221460i
\(643\) 16.3926 0.646460 0.323230 0.946321i \(-0.395231\pi\)
0.323230 + 0.946321i \(0.395231\pi\)
\(644\) −8.48270 9.43631i −0.334265 0.371843i
\(645\) 9.78308 0.385208
\(646\) −2.05220 14.2734i −0.0807427 0.561578i
\(647\) 20.4205 + 9.32573i 0.802812 + 0.366632i 0.774186 0.632958i \(-0.218159\pi\)
0.0286263 + 0.999590i \(0.490887\pi\)
\(648\) 0.959493 0.281733i 0.0376924 0.0110675i
\(649\) 1.00384 1.15849i 0.0394042 0.0454749i
\(650\) −3.86417 + 13.1601i −0.151565 + 0.516183i
\(651\) 7.99482 1.09528i 0.313342 0.0429274i
\(652\) −1.89169 4.14222i −0.0740842 0.162222i
\(653\) −23.7580 27.4182i −0.929723 1.07296i −0.997166 0.0752344i \(-0.976030\pi\)
0.0674429 0.997723i \(-0.478516\pi\)
\(654\) −8.66297 5.56735i −0.338749 0.217701i
\(655\) 10.9597 + 1.57577i 0.428231 + 0.0615704i
\(656\) −10.8959 1.56660i −0.425415 0.0611654i
\(657\) −6.46146 + 10.0542i −0.252085 + 0.392253i
\(658\) 27.2873 7.81560i 1.06377 0.304684i
\(659\) −7.83498 + 3.57812i −0.305208 + 0.139384i −0.562131 0.827048i \(-0.690018\pi\)
0.256924 + 0.966432i \(0.417291\pi\)
\(660\) −0.724808 + 0.465806i −0.0282131 + 0.0181315i
\(661\) −1.40342 0.412081i −0.0545867 0.0160281i 0.254325 0.967119i \(-0.418147\pi\)
−0.308912 + 0.951091i \(0.599965\pi\)
\(662\) −11.7551 + 13.5661i −0.456874 + 0.527261i
\(663\) 4.76490 1.39910i 0.185053 0.0543366i
\(664\) −2.94404 + 6.44655i −0.114251 + 0.250175i
\(665\) 18.1868 60.4489i 0.705254 2.34411i
\(666\) 3.55963i 0.137933i
\(667\) 1.04040 + 41.8069i 0.0402845 + 1.61877i
\(668\) 6.08642i 0.235491i
\(669\) −0.782099 5.43962i −0.0302377 0.210308i
\(670\) 28.1688 + 12.8643i 1.08825 + 0.496989i
\(671\) 0.810016 + 2.75866i 0.0312703 + 0.106497i
\(672\) −1.08306 2.41391i −0.0417799 0.0931188i
\(673\) −25.4672 7.47784i −0.981688 0.288250i −0.248767 0.968563i \(-0.580025\pi\)
−0.732921 + 0.680314i \(0.761844\pi\)
\(674\) 7.60226 + 11.8293i 0.292828 + 0.455649i
\(675\) 4.89134 2.23380i 0.188268 0.0859790i
\(676\) −4.25267 4.90784i −0.163564 0.188763i
\(677\) 10.1915 + 6.54969i 0.391692 + 0.251725i 0.721632 0.692277i \(-0.243392\pi\)
−0.329940 + 0.944002i \(0.607029\pi\)
\(678\) −2.86459 + 19.9237i −0.110014 + 0.765163i
\(679\) −1.42375 + 2.18334i −0.0546384 + 0.0837889i
\(680\) −5.27623 3.39083i −0.202334 0.130032i
\(681\) −14.4506 + 12.5215i −0.553749 + 0.479826i
\(682\) 0.338870 + 0.742023i 0.0129760 + 0.0284135i
\(683\) −30.9686 + 19.9023i −1.18498 + 0.761541i −0.976295 0.216442i \(-0.930555\pi\)
−0.208685 + 0.977983i \(0.566918\pi\)
\(684\) −7.10650 2.08666i −0.271724 0.0797854i
\(685\) 28.7395 + 24.9029i 1.09808 + 0.951492i
\(686\) −9.70008 15.7768i −0.370351 0.602362i
\(687\) −4.51588 2.06233i −0.172292 0.0786830i
\(688\) −3.00601 + 0.432199i −0.114603 + 0.0164774i
\(689\) −13.4075 −0.510783
\(690\) −9.82346 + 11.9238i −0.373973 + 0.453931i
\(691\) 39.7594i 1.51252i 0.654271 + 0.756260i \(0.272975\pi\)
−0.654271 + 0.756260i \(0.727025\pi\)
\(692\) 17.1645 2.46788i 0.652495 0.0938146i
\(693\) 0.459830 + 0.537857i 0.0174675 + 0.0204315i
\(694\) −32.3848 + 9.50903i −1.22931 + 0.360958i
\(695\) 29.1834 + 25.2876i 1.10699 + 0.959213i
\(696\) −2.45672 + 8.36681i −0.0931216 + 0.317143i
\(697\) 11.5870 + 18.0297i 0.438890 + 0.682925i
\(698\) 11.6710 5.32997i 0.441754 0.201742i
\(699\) −11.5841 + 10.0377i −0.438151 + 0.379660i
\(700\) −7.61191 12.0193i −0.287703 0.454288i
\(701\) −41.7735 6.00613i −1.57777 0.226848i −0.702926 0.711263i \(-0.748124\pi\)
−0.874839 + 0.484414i \(0.839033\pi\)
\(702\) 0.363000 2.52472i 0.0137006 0.0952895i
\(703\) 14.2537 22.1792i 0.537589 0.836505i
\(704\) 0.202131 0.175147i 0.00761809 0.00660111i
\(705\) −14.3568 31.4369i −0.540707 1.18398i
\(706\) 4.62415 + 7.19532i 0.174032 + 0.270799i
\(707\) 30.8608 35.1404i 1.16064 1.32159i
\(708\) 3.75328 4.33151i 0.141057 0.162788i
\(709\) −11.8424 40.3316i −0.444751 1.51468i −0.811493 0.584362i \(-0.801345\pi\)
0.366742 0.930323i \(-0.380473\pi\)
\(710\) 17.5595 38.4500i 0.658997 1.44300i
\(711\) 4.48237 0.644468i 0.168102 0.0241694i
\(712\) 11.0121 0.412695
\(713\) 9.85083 + 10.8128i 0.368916 + 0.404942i
\(714\) −2.17097 + 4.67132i −0.0812465 + 0.174820i
\(715\) 0.312754 + 2.17525i 0.0116963 + 0.0813498i
\(716\) 6.58460 14.4183i 0.246078 0.538836i
\(717\) 0.218900 + 0.745506i 0.00817498 + 0.0278414i
\(718\) 11.7528 + 10.1839i 0.438611 + 0.380058i
\(719\) −9.93611 + 33.8393i −0.370554 + 1.26199i 0.537544 + 0.843236i \(0.319352\pi\)
−0.908099 + 0.418757i \(0.862466\pi\)
\(720\) −2.71000 + 1.74161i −0.100996 + 0.0649059i
\(721\) 0.168966 25.4134i 0.00629262 0.946444i
\(722\) 23.4810 + 27.0986i 0.873874 + 1.00850i
\(723\) 6.77673 10.5448i 0.252029 0.392165i
\(724\) 0.234707 1.63242i 0.00872282 0.0606686i
\(725\) −6.67314 + 46.4127i −0.247834 + 1.72373i
\(726\) 5.90838 9.19361i 0.219280 0.341207i
\(727\) 16.4243 + 18.9546i 0.609143 + 0.702989i 0.973608 0.228228i \(-0.0732933\pi\)
−0.364464 + 0.931217i \(0.618748\pi\)
\(728\) −6.74833 0.0448676i −0.250110 0.00166290i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 10.8468 36.9407i 0.401457 1.36724i
\(731\) 4.46855 + 3.87202i 0.165275 + 0.143212i
\(732\) 3.02858 + 10.3144i 0.111940 + 0.381231i
\(733\) −6.68714 + 14.6428i −0.246995 + 0.540844i −0.992003 0.126211i \(-0.959718\pi\)
0.745008 + 0.667055i \(0.232446\pi\)
\(734\) −2.83684 19.7307i −0.104710 0.728273i
\(735\) −17.2367 + 14.5390i −0.635786 + 0.536278i
\(736\) 2.49165 4.09777i 0.0918434 0.151046i
\(737\) 2.57108 0.0947068
\(738\) 10.8959 1.56660i 0.401085 0.0576673i
\(739\) −5.66831 + 12.4119i −0.208512 + 0.456578i −0.984776 0.173831i \(-0.944385\pi\)
0.776263 + 0.630409i \(0.217113\pi\)
\(740\) −3.23061 11.0024i −0.118759 0.404457i
\(741\) −12.3714 + 14.2774i −0.454476 + 0.524493i
\(742\) 9.17693 10.4496i 0.336896 0.383615i
\(743\) 28.2101 + 43.8957i 1.03493 + 1.61038i 0.761140 + 0.648588i \(0.224640\pi\)
0.273787 + 0.961790i \(0.411724\pi\)
\(744\) 1.26701 + 2.77436i 0.0464508 + 0.101713i
\(745\) 26.0233 22.5494i 0.953422 0.826145i
\(746\) −9.62440 + 14.9759i −0.352374 + 0.548305i
\(747\) 1.00858 7.01486i 0.0369022 0.256660i
\(748\) −0.515426 0.0741071i −0.0188458 0.00270962i
\(749\) −12.6714 + 8.02486i −0.463002 + 0.293222i
\(750\) −0.918489 + 0.795875i −0.0335385 + 0.0290612i
\(751\) 3.32140 1.51683i 0.121200 0.0553500i −0.353892 0.935286i \(-0.615142\pi\)
0.475092 + 0.879936i \(0.342415\pi\)
\(752\) 5.80018 + 9.02526i 0.211511 + 0.329117i
\(753\) −1.19169 + 4.05851i −0.0434275 + 0.147901i
\(754\) 16.8094 + 14.5655i 0.612163 + 0.530442i
\(755\) 17.6047 5.16920i 0.640700 0.188126i
\(756\) 1.71927 + 2.01100i 0.0625291 + 0.0731394i
\(757\) −1.06961 + 0.153787i −0.0388757 + 0.00558948i −0.161725 0.986836i \(-0.551706\pi\)
0.122850 + 0.992425i \(0.460797\pi\)
\(758\) 8.51475i 0.309270i
\(759\) −0.330643 + 1.23933i −0.0120016 + 0.0449849i
\(760\) 23.8592 0.865464
\(761\) 37.9312 5.45368i 1.37500 0.197696i 0.585117 0.810949i \(-0.301049\pi\)
0.789886 + 0.613253i \(0.210140\pi\)
\(762\) −3.47374 1.58641i −0.125840 0.0574694i
\(763\) 4.05660 26.9414i 0.146859 0.975345i
\(764\) 1.40510 + 1.21753i 0.0508348 + 0.0440486i
\(765\) 6.01781 + 1.76699i 0.217574 + 0.0638856i
\(766\) 9.57172 6.15137i 0.345840 0.222258i
\(767\) −6.07296 13.2979i −0.219282 0.480161i
\(768\) 0.755750 0.654861i 0.0272708 0.0236303i
\(769\) −17.6331 11.3321i −0.635868 0.408647i 0.182610 0.983185i \(-0.441545\pi\)
−0.818478 + 0.574538i \(0.805182\pi\)
\(770\) −1.90942 1.24513i −0.0688109 0.0448713i
\(771\) −0.107122 + 0.745053i −0.00385792 + 0.0268324i
\(772\) −1.45501 0.935075i −0.0523668 0.0336541i
\(773\) 16.3961 + 18.9221i 0.589727 + 0.680581i 0.969667 0.244430i \(-0.0786008\pi\)
−0.379940 + 0.925011i \(0.624055\pi\)
\(774\) 2.76248 1.26158i 0.0992954 0.0453467i
\(775\) 8.86682 + 13.7970i 0.318506 + 0.495604i
\(776\) −0.945271 0.277557i −0.0339333 0.00996370i
\(777\) −8.59265 + 3.85530i −0.308260 + 0.138308i
\(778\) 1.95468 + 6.65702i 0.0700786 + 0.238666i
\(779\) −74.1630 33.8691i −2.65717 1.21349i
\(780\) 1.16936 + 8.13308i 0.0418698 + 0.291211i
\(781\) 3.50948i 0.125579i
\(782\) −9.20629 + 1.55835i −0.329216 + 0.0557264i
\(783\) 8.72003i 0.311629i
\(784\) 4.65396 5.22883i 0.166213 0.186744i
\(785\) −31.2028 + 68.3247i −1.11368 + 2.43861i
\(786\) 3.29794 0.968362i 0.117634 0.0345403i
\(787\) −17.4857 + 20.1796i −0.623298 + 0.719324i −0.976330 0.216287i \(-0.930605\pi\)
0.353032 + 0.935611i \(0.385151\pi\)
\(788\) −25.3957 7.45684i −0.904684 0.265639i
\(789\) −14.8827 + 9.56454i −0.529839 + 0.340507i
\(790\) −13.2696 + 6.06003i −0.472112 + 0.215606i
\(791\) −51.1965 + 14.6636i −1.82034 + 0.521379i
\(792\) −0.144598 + 0.224999i −0.00513808 + 0.00799500i
\(793\) 27.1404 + 3.90220i 0.963783 + 0.138571i
\(794\) 32.1385 + 4.62082i 1.14055 + 0.163987i
\(795\) −14.2449 9.15461i −0.505213 0.324681i
\(796\) 0.0244335 + 0.0281978i 0.000866023 + 0.000999444i
\(797\) −6.12090 13.4029i −0.216813 0.474755i 0.769706 0.638398i \(-0.220403\pi\)
−0.986520 + 0.163643i \(0.947675\pi\)
\(798\) −2.65976 19.4145i −0.0941543 0.687265i
\(799\) 5.88471 20.0415i 0.208186 0.709016i
\(800\) 3.52136 4.06387i 0.124499 0.143680i
\(801\) −10.5660 + 3.10246i −0.373332 + 0.109620i
\(802\) 33.9071 + 15.4849i 1.19730 + 0.546789i
\(803\) −0.454911 3.16397i −0.0160534 0.111654i
\(804\) 9.61304 0.339026
\(805\) −39.4224 10.7988i −1.38946 0.380608i
\(806\) 7.77954 0.274023
\(807\) −1.49245 10.3802i −0.0525367 0.365401i
\(808\) 16.0792 + 7.34313i 0.565665 + 0.258330i
\(809\) −35.4899 + 10.4208i −1.24776 + 0.366375i −0.837925 0.545785i \(-0.816232\pi\)
−0.409834 + 0.912160i \(0.634413\pi\)
\(810\) 2.10955 2.43455i 0.0741222 0.0855415i
\(811\) −0.959151 + 3.26657i −0.0336804 + 0.114705i −0.974618 0.223876i \(-0.928129\pi\)
0.940937 + 0.338581i \(0.109947\pi\)
\(812\) −22.8575 + 3.13145i −0.802142 + 0.109892i
\(813\) 1.97504 + 4.32473i 0.0692676 + 0.151675i
\(814\) −0.623460 0.719511i −0.0218523 0.0252188i
\(815\) −12.3406 7.93081i −0.432272 0.277804i
\(816\) −1.92713 0.277080i −0.0674632 0.00969975i
\(817\) −22.2641 3.20109i −0.778922 0.111992i
\(818\) −17.1325 + 26.6588i −0.599025 + 0.932102i
\(819\) 6.48761 1.85817i 0.226696 0.0649298i
\(820\) −32.2563 + 14.7310i −1.12644 + 0.514428i
\(821\) −15.9352 + 10.2409i −0.556143 + 0.357411i −0.788323 0.615262i \(-0.789050\pi\)
0.232180 + 0.972673i \(0.425414\pi\)
\(822\) 11.3267 + 3.32581i 0.395062 + 0.116001i
\(823\) −4.49858 + 5.19164i −0.156811 + 0.180969i −0.828719 0.559666i \(-0.810930\pi\)
0.671908 + 0.740635i \(0.265475\pi\)
\(824\) 9.21648 2.70620i 0.321071 0.0942750i
\(825\) −0.597446 + 1.30822i −0.0208004 + 0.0455465i
\(826\) 14.5209 + 4.36880i 0.505248 + 0.152010i
\(827\) 40.9302i 1.42328i −0.702542 0.711642i \(-0.747952\pi\)
0.702542 0.711642i \(-0.252048\pi\)
\(828\) −1.23625 + 4.63376i −0.0429625 + 0.161034i
\(829\) 15.3402i 0.532787i −0.963864 0.266394i \(-0.914168\pi\)
0.963864 0.266394i \(-0.0858321\pi\)
\(830\) 3.24903 + 22.5975i 0.112775 + 0.784371i
\(831\) 24.7914 + 11.3219i 0.860004 + 0.392751i
\(832\) −0.718611 2.44736i −0.0249134 0.0848471i
\(833\) −13.6275 0.181218i −0.472163 0.00627882i
\(834\) 11.5016 + 3.37718i 0.398268 + 0.116942i
\(835\) 10.6002 + 16.4942i 0.366833 + 0.570804i
\(836\) 1.80191 0.822907i 0.0623205 0.0284608i
\(837\) −1.99731 2.30502i −0.0690372 0.0796732i
\(838\) 6.49993 + 4.17725i 0.224536 + 0.144301i
\(839\) 0.447816 3.11463i 0.0154603 0.107529i −0.980630 0.195869i \(-0.937247\pi\)
0.996090 + 0.0883402i \(0.0281563\pi\)
\(840\) −7.13918 4.65543i −0.246325 0.160628i
\(841\) 39.5717 + 25.4312i 1.36454 + 0.876938i
\(842\) −11.7635 + 10.1931i −0.405396 + 0.351277i
\(843\) 2.47182 + 5.41253i 0.0851340 + 0.186417i
\(844\) 7.05568 4.53441i 0.242866 0.156081i
\(845\) −20.0723 5.89375i −0.690506 0.202751i
\(846\) −8.10794 7.02557i −0.278757 0.241544i
\(847\) 28.5917 + 4.30508i 0.982423 + 0.147924i
\(848\) 4.78140 + 2.18359i 0.164194 + 0.0749849i
\(849\) −31.0126 + 4.45894i −1.06435 + 0.153030i
\(850\) −10.4693 −0.359094
\(851\) −14.5865 8.86936i −0.500020 0.304038i
\(852\) 13.1217i 0.449541i
\(853\) 52.5588 7.55682i 1.79958 0.258740i 0.840486 0.541833i \(-0.182269\pi\)
0.959093 + 0.283092i \(0.0913602\pi\)
\(854\) −21.6180 + 18.4819i −0.739751 + 0.632436i
\(855\) −22.8927 + 6.72191i −0.782915 + 0.229885i
\(856\) −4.28434 3.71240i −0.146436 0.126887i
\(857\) 6.99686 23.8291i 0.239008 0.813987i −0.749394 0.662125i \(-0.769655\pi\)
0.988402 0.151862i \(-0.0485269\pi\)
\(858\) 0.368825 + 0.573902i 0.0125915 + 0.0195927i
\(859\) −36.4698 + 16.6552i −1.24433 + 0.568267i −0.925213 0.379447i \(-0.876114\pi\)
−0.319119 + 0.947715i \(0.603387\pi\)
\(860\) −7.39355 + 6.40655i −0.252118 + 0.218462i
\(861\) 15.5826 + 24.6051i 0.531053 + 0.838540i
\(862\) 14.2982 + 2.05577i 0.486997 + 0.0700197i
\(863\) 4.85084 33.7383i 0.165125 1.14847i −0.723665 0.690151i \(-0.757544\pi\)
0.888790 0.458315i \(-0.151547\pi\)
\(864\) −0.540641 + 0.841254i −0.0183930 + 0.0286200i
\(865\) 42.2175 36.5817i 1.43544 1.24381i
\(866\) 2.05405 + 4.49775i 0.0697995 + 0.152840i
\(867\) −7.14153 11.1124i −0.242539 0.377398i
\(868\) −5.32482 + 6.06325i −0.180736 + 0.205800i
\(869\) −0.793148 + 0.915342i −0.0269057 + 0.0310508i
\(870\) 7.91401 + 26.9527i 0.268310 + 0.913781i
\(871\) 10.1859 22.3040i 0.345136 0.755743i
\(872\) 10.1929 1.46551i 0.345174 0.0496286i
\(873\) 0.985178 0.0333432
\(874\) 26.2575 23.9216i 0.888175 0.809159i
\(875\) −2.91595 1.35517i −0.0985772 0.0458132i
\(876\) −1.70087 11.8298i −0.0574672 0.399693i
\(877\) −18.1759 + 39.7998i −0.613758 + 1.34394i 0.306216 + 0.951962i \(0.400937\pi\)
−0.919974 + 0.391980i \(0.871790\pi\)
\(878\) −7.75986 26.4277i −0.261883 0.891890i
\(879\) −19.5601 16.9489i −0.659745 0.571673i
\(880\) 0.242735 0.826680i 0.00818260 0.0278674i
\(881\) 1.76892 1.13682i 0.0595965 0.0383003i −0.510503 0.859876i \(-0.670541\pi\)
0.570100 + 0.821575i \(0.306905\pi\)
\(882\) −2.99231 + 6.32820i −0.100756 + 0.213081i
\(883\) 35.8884 + 41.4175i 1.20774 + 1.39381i 0.896244 + 0.443562i \(0.146285\pi\)
0.311498 + 0.950247i \(0.399169\pi\)
\(884\) −2.68486 + 4.17772i −0.0903015 + 0.140512i
\(885\) 2.62757 18.2751i 0.0883246 0.614311i
\(886\) 1.85614 12.9097i 0.0623582 0.433711i
\(887\) 19.3069 30.0421i 0.648262 1.00872i −0.349167 0.937060i \(-0.613536\pi\)
0.997429 0.0716550i \(-0.0228281\pi\)
\(888\) −2.33106 2.69019i −0.0782254 0.0902769i
\(889\) 0.0671751 10.1035i 0.00225298 0.338860i
\(890\) 29.8427 19.1787i 1.00033 0.642872i
\(891\) 0.0753514 0.256623i 0.00252437 0.00859720i
\(892\) 4.15326 + 3.59882i 0.139061 + 0.120497i
\(893\) 22.3864 + 76.2410i 0.749132 + 2.55131i
\(894\) 4.44044 9.72320i 0.148510 0.325193i
\(895\) −7.26673 50.5412i −0.242900 1.68941i
\(896\) 2.39930 + 1.11506i 0.0801550 + 0.0372516i
\(897\) 9.44125 + 7.77821i 0.315234 + 0.259707i
\(898\) 12.7001 0.423807
\(899\) 26.3252 3.78500i 0.877996 0.126237i
\(900\) −2.23380 + 4.89134i −0.0744600 + 0.163045i
\(901\) −2.88325 9.81944i −0.0960549 0.327133i
\(902\) −1.92802 + 2.22505i −0.0641959 + 0.0740860i
\(903\) 6.03729 + 5.30203i 0.200908 + 0.176440i
\(904\) −10.8823 16.9332i −0.361940 0.563190i
\(905\) −2.20699 4.83263i −0.0733627 0.160642i
\(906\) 4.30450 3.72987i 0.143007 0.123917i
\(907\) −13.5628 + 21.1041i −0.450344 + 0.700749i −0.989989 0.141144i \(-0.954922\pi\)
0.539645 + 0.841893i \(0.318558\pi\)
\(908\) 2.72119 18.9263i 0.0903059 0.628091i
\(909\) −17.4967 2.51564i −0.580329 0.0834387i
\(910\) −18.3661 + 11.6314i −0.608830 + 0.385576i
\(911\) −21.8741 + 18.9540i −0.724723 + 0.627976i −0.937039 0.349225i \(-0.886445\pi\)
0.212316 + 0.977201i \(0.431899\pi\)
\(912\) 6.73721 3.07678i 0.223091 0.101882i
\(913\) 1.02477 + 1.59457i 0.0339148 + 0.0527725i
\(914\) −0.0624569 + 0.212709i −0.00206589 + 0.00703578i
\(915\) 26.1711 + 22.6774i 0.865190 + 0.749691i
\(916\) 4.76342 1.39867i 0.157388 0.0462132i
\(917\) 5.90941 + 6.91215i 0.195146 + 0.228259i
\(918\) 1.92713 0.277080i 0.0636049 0.00914501i
\(919\) 15.1307i 0.499115i 0.968360 + 0.249557i \(0.0802851\pi\)
−0.968360 + 0.249557i \(0.919715\pi\)
\(920\) −0.384348 15.4444i −0.0126716 0.509187i
\(921\) 10.3318 0.340445
\(922\) −6.50451 + 0.935207i −0.214215 + 0.0307994i
\(923\) −30.4447 13.9036i −1.00210 0.457643i
\(924\) −0.699738 0.105360i −0.0230197 0.00346609i
\(925\) −14.4659 12.5348i −0.475636 0.412141i
\(926\) −38.3206 11.2520i −1.25929 0.369762i
\(927\) −8.08072 + 5.19316i −0.265406 + 0.170566i
\(928\) −3.62243 7.93202i −0.118912 0.260381i
\(929\) −5.13622 + 4.45056i −0.168514 + 0.146018i −0.735035 0.678029i \(-0.762834\pi\)
0.566521 + 0.824047i \(0.308289\pi\)
\(930\) 8.26543 + 5.31187i 0.271034 + 0.174183i
\(931\) 43.9842 27.4474i 1.44152 0.899554i
\(932\) 2.18140 15.1719i 0.0714540 0.496973i
\(933\) −13.1105 8.42562i −0.429219 0.275842i
\(934\) 3.85330 + 4.44694i 0.126084 + 0.145508i
\(935\) −1.52587 + 0.696840i −0.0499012 + 0.0227891i
\(936\) 1.37900 + 2.14577i 0.0450742 + 0.0701368i
\(937\) 12.3950 + 3.63951i 0.404928 + 0.118898i 0.477853 0.878440i \(-0.341415\pi\)
−0.0729248 + 0.997337i \(0.523233\pi\)
\(938\) 10.4115 + 23.2051i 0.339947 + 0.757672i
\(939\) 3.53470 + 12.0381i 0.115350 + 0.392848i
\(940\) 31.4369 + 14.3568i 1.02536 + 0.468266i
\(941\) 3.17061 + 22.0521i 0.103359 + 0.718877i 0.973932 + 0.226839i \(0.0728390\pi\)
−0.870573 + 0.492038i \(0.836252\pi\)
\(942\) 23.3169i 0.759705i
\(943\) −20.7293 + 48.5524i −0.675038 + 1.58108i
\(944\) 5.73141i 0.186542i
\(945\) 8.16158 + 2.45551i 0.265496 + 0.0798778i
\(946\) −0.337420 + 0.738846i −0.0109705 + 0.0240219i
\(947\) 21.2705 6.24558i 0.691198 0.202954i 0.0827766 0.996568i \(-0.473621\pi\)
0.608422 + 0.793614i \(0.291803\pi\)
\(948\) −2.96551 + 3.42239i −0.0963154 + 0.111154i
\(949\) −29.2496 8.58846i −0.949483 0.278793i
\(950\) 33.5045 21.5320i 1.08703 0.698591i
\(951\) −11.3489 + 5.18288i −0.368014 + 0.168066i
\(952\) −1.41835 4.95203i −0.0459691 0.160496i
\(953\) 11.4088 17.7524i 0.369566 0.575055i −0.605809 0.795610i \(-0.707150\pi\)
0.975375 + 0.220555i \(0.0707868\pi\)
\(954\) −5.20291 0.748066i −0.168450 0.0242195i
\(955\) 5.92827 + 0.852357i 0.191834 + 0.0275816i
\(956\) −0.653637 0.420067i −0.0211401 0.0135859i
\(957\) 1.52729 + 1.76259i 0.0493703 + 0.0569763i
\(958\) 6.15514 + 13.4779i 0.198864 + 0.435450i
\(959\) 4.23923 + 30.9436i 0.136892 + 0.999222i
\(960\) 0.907567 3.09089i 0.0292916 0.0997580i
\(961\) −14.2089 + 16.3980i −0.458352 + 0.528967i
\(962\) −8.71172 + 2.55799i −0.280877 + 0.0824730i
\(963\) 5.15670 + 2.35498i 0.166172 + 0.0758883i
\(964\) 1.78386 + 12.4070i 0.0574543 + 0.399604i
\(965\) −5.57159 −0.179356
\(966\) −12.5244 + 2.03445i −0.402967 + 0.0654572i
\(967\) −4.01944 −0.129256 −0.0646282 0.997909i \(-0.520586\pi\)
−0.0646282 + 0.997909i \(0.520586\pi\)
\(968\) 1.55528 + 10.8172i 0.0499887 + 0.347679i
\(969\) −13.1170 5.99034i −0.421379 0.192437i
\(970\) −3.04507 + 0.894115i −0.0977715 + 0.0287083i
\(971\) −15.2276 + 17.5736i −0.488678 + 0.563964i −0.945512 0.325588i \(-0.894438\pi\)
0.456834 + 0.889552i \(0.348983\pi\)
\(972\) 0.281733 0.959493i 0.00903658 0.0307758i
\(973\) 4.30471 + 31.4216i 0.138003 + 1.00733i
\(974\) 8.79669 + 19.2621i 0.281864 + 0.617197i
\(975\) 8.98189 + 10.3657i 0.287651 + 0.331967i
\(976\) −9.04335 5.81181i −0.289471 0.186031i
\(977\) 31.6291 + 4.54757i 1.01190 + 0.145490i 0.628270 0.777996i \(-0.283764\pi\)
0.383633 + 0.923485i \(0.374673\pi\)
\(978\) −4.50738 0.648063i −0.144130 0.0207228i
\(979\) 1.59233 2.47771i 0.0508910 0.0791879i
\(980\) 3.50565 22.2755i 0.111984 0.711564i
\(981\) −9.36711 + 4.27781i −0.299069 + 0.136580i
\(982\) 16.2724 10.4576i 0.519273 0.333716i
\(983\) 20.1058 + 5.90360i 0.641276 + 0.188296i 0.586174 0.810185i \(-0.300633\pi\)
0.0551021 + 0.998481i \(0.482452\pi\)
\(984\) −7.20869 + 8.31927i −0.229805 + 0.265209i
\(985\) −81.8091 + 24.0213i −2.60665 + 0.765383i
\(986\) −7.05270 + 15.4433i −0.224604 + 0.491814i
\(987\) 8.17774 27.1810i 0.260300 0.865180i
\(988\) 18.8917i 0.601025i
\(989\) −1.71346 + 14.4634i −0.0544849 + 0.459910i
\(990\) 0.861580i 0.0273828i
\(991\) −5.51150 38.3333i −0.175078 1.21770i −0.867956 0.496642i \(-0.834566\pi\)
0.692877 0.721056i \(-0.256343\pi\)
\(992\) −2.77436 1.26701i −0.0880860 0.0402275i
\(993\) 5.05724 + 17.2234i 0.160487 + 0.546567i
\(994\) 31.6746 14.2115i 1.00466 0.450763i
\(995\) 0.115324 + 0.0338623i 0.00365602 + 0.00107351i
\(996\) 3.83152 + 5.96196i 0.121406 + 0.188912i
\(997\) −39.9511 + 18.2451i −1.26526 + 0.577827i −0.931126 0.364698i \(-0.881172\pi\)
−0.334138 + 0.942524i \(0.608445\pi\)
\(998\) −2.47518 2.85651i −0.0783505 0.0904213i
\(999\) 2.99455 + 1.92448i 0.0947435 + 0.0608880i
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 966.2.s.b.181.10 yes 160
7.6 odd 2 inner 966.2.s.b.181.7 160
23.15 odd 22 inner 966.2.s.b.475.7 yes 160
161.153 even 22 inner 966.2.s.b.475.10 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.s.b.181.7 160 7.6 odd 2 inner
966.2.s.b.181.10 yes 160 1.1 even 1 trivial
966.2.s.b.475.7 yes 160 23.15 odd 22 inner
966.2.s.b.475.10 yes 160 161.153 even 22 inner