Properties

Label 322.2.i.c.211.1
Level $322$
Weight $2$
Character 322.211
Analytic conductor $2.571$
Analytic rank $0$
Dimension $20$
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] = [322,2,Mod(29,322)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(322, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 18]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("322.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.i (of order \(11\), 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: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(2\) over \(\Q(\zeta_{11})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{20} - 9 x^{19} + 41 x^{18} - 119 x^{17} + 245 x^{16} - 404 x^{15} + 623 x^{14} - 898 x^{13} + 1048 x^{12} - 693 x^{11} + 859 x^{10} - 935 x^{9} + 620 x^{8} + 679 x^{7} + 1220 x^{6} + \cdots + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 211.1
Root \(0.140215 - 0.975217i\) of defining polynomial
Character \(\chi\) \(=\) 322.211
Dual form 322.2.i.c.29.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.415415 + 0.909632i) q^{2} +(0.0141569 - 0.00415683i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-3.50493 - 2.25248i) q^{5} +(0.00966216 + 0.0111507i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-2.52358 + 1.62180i) q^{9} +O(q^{10})\) \(q+(0.415415 + 0.909632i) q^{2} +(0.0141569 - 0.00415683i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-3.50493 - 2.25248i) q^{5} +(0.00966216 + 0.0111507i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-2.52358 + 1.62180i) q^{9} +(0.592928 - 4.12391i) q^{10} +(-0.164338 + 0.359850i) q^{11} +(-0.00612925 + 0.0134212i) q^{12} +(0.524026 - 3.64468i) q^{13} +(0.841254 - 0.540641i) q^{14} +(-0.0589820 - 0.0173187i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-5.01611 - 5.78890i) q^{17} +(-2.52358 - 1.62180i) q^{18} +(-4.06258 + 4.68846i) q^{19} +(3.99755 - 1.17379i) q^{20} +(-0.00612925 - 0.0134212i) q^{21} -0.395599 q^{22} +(1.99735 - 4.36011i) q^{23} -0.0147545 q^{24} +(5.13377 + 11.2414i) q^{25} +(3.53301 - 1.03738i) q^{26} +(-0.0579709 + 0.0669020i) q^{27} +(0.841254 + 0.540641i) q^{28} +(-0.216787 - 0.250186i) q^{29} +(-0.00874838 - 0.0608463i) q^{30} +(6.68165 + 1.96191i) q^{31} +(0.841254 - 0.540641i) q^{32} +(-0.000830675 + 0.00577747i) q^{33} +(3.18200 - 6.96761i) q^{34} +(-1.73075 + 3.78981i) q^{35} +(0.426914 - 2.96925i) q^{36} +(-3.66590 + 2.35593i) q^{37} +(-5.95243 - 1.74779i) q^{38} +(-0.00773176 - 0.0537756i) q^{39} +(2.72836 + 3.14869i) q^{40} +(3.16030 + 2.03100i) q^{41} +(0.00966216 - 0.0111507i) q^{42} +(-3.79125 + 1.11321i) q^{43} +(-0.164338 - 0.359850i) q^{44} +12.4980 q^{45} +(4.79583 + 0.00559465i) q^{46} -4.21317 q^{47} +(-0.00612925 - 0.0134212i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(-8.09289 + 9.33969i) q^{50} +(-0.0950759 - 0.0611016i) q^{51} +(2.41130 + 2.78279i) q^{52} +(0.444306 + 3.09022i) q^{53} +(-0.0849381 - 0.0249401i) q^{54} +(1.38655 - 0.891079i) q^{55} +(-0.142315 + 0.989821i) q^{56} +(-0.0380242 + 0.0832614i) q^{57} +(0.137520 - 0.301127i) q^{58} +(0.721739 - 5.01980i) q^{59} +(0.0517136 - 0.0332343i) q^{60} +(-5.98335 - 1.75687i) q^{61} +(0.991042 + 6.89285i) q^{62} +(1.96444 + 2.26708i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-10.0462 + 11.5940i) q^{65} +(-0.00560044 + 0.00164444i) q^{66} +(-5.49536 - 12.0332i) q^{67} +7.65981 q^{68} +(0.0101519 - 0.0700282i) q^{69} -4.16631 q^{70} +(-1.10479 - 2.41915i) q^{71} +(2.87827 - 0.845136i) q^{72} +(3.11036 - 3.58955i) q^{73} +(-3.66590 - 2.35593i) q^{74} +(0.119407 + 0.137803i) q^{75} +(-0.882882 - 6.14058i) q^{76} +(0.379575 + 0.111453i) q^{77} +(0.0457041 - 0.0293722i) q^{78} +(0.237949 - 1.65497i) q^{79} +(-1.73075 + 3.78981i) q^{80} +(3.73792 - 8.18491i) q^{81} +(-0.534628 + 3.71842i) q^{82} +(3.36177 - 2.16048i) q^{83} +(0.0141569 + 0.00415683i) q^{84} +(4.54172 + 31.5884i) q^{85} +(-2.58756 - 2.98620i) q^{86} +(-0.00410901 - 0.00264070i) q^{87} +(0.259062 - 0.298974i) q^{88} +(-7.84641 + 2.30392i) q^{89} +(5.19187 + 11.3686i) q^{90} -3.68216 q^{91} +(1.98717 + 4.36476i) q^{92} +0.102747 q^{93} +(-1.75022 - 3.83244i) q^{94} +(24.7997 - 7.28185i) q^{95} +(0.00966216 - 0.0111507i) q^{96} +(10.0418 + 6.45349i) q^{97} +(-0.654861 - 0.755750i) q^{98} +(-0.168887 - 1.17463i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20 q - 2 q^{2} + 4 q^{3} - 2 q^{4} - 5 q^{5} + 4 q^{6} - 2 q^{7} - 2 q^{8} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 20 q - 2 q^{2} + 4 q^{3} - 2 q^{4} - 5 q^{5} + 4 q^{6} - 2 q^{7} - 2 q^{8} - 12 q^{9} + 6 q^{10} + 6 q^{11} + 4 q^{12} + 14 q^{13} - 2 q^{14} + 13 q^{15} - 2 q^{16} + 7 q^{17} - 12 q^{18} - 2 q^{19} + 6 q^{20} + 4 q^{21} - 16 q^{22} + 9 q^{23} - 18 q^{24} + 23 q^{25} + 3 q^{26} - 47 q^{27} - 2 q^{28} + 2 q^{29} - 20 q^{30} + 28 q^{31} - 2 q^{32} + 26 q^{33} + 18 q^{34} - 5 q^{35} + 10 q^{36} - 17 q^{37} + 9 q^{38} + 36 q^{39} - 5 q^{40} - 7 q^{41} + 4 q^{42} - 17 q^{43} + 6 q^{44} + 90 q^{45} + 9 q^{46} - 68 q^{47} + 4 q^{48} - 2 q^{49} - 43 q^{50} - 15 q^{51} + 14 q^{52} - 35 q^{53} + 19 q^{54} + 8 q^{55} - 2 q^{56} - 20 q^{57} + 24 q^{58} - 60 q^{59} + 13 q^{60} - 48 q^{61} - 5 q^{62} + 10 q^{63} - 2 q^{64} + 40 q^{65} - 29 q^{66} - 57 q^{67} + 18 q^{68} + 4 q^{69} + 6 q^{70} - 39 q^{71} - q^{72} - 30 q^{73} - 17 q^{74} + 57 q^{75} - 2 q^{76} + 6 q^{77} - 19 q^{78} - 18 q^{79} - 5 q^{80} - 90 q^{81} + 26 q^{82} + 28 q^{83} + 4 q^{84} - 13 q^{85} - 6 q^{86} + 13 q^{87} + 6 q^{88} + 34 q^{89} - 20 q^{90} - 30 q^{91} - 2 q^{92} - 16 q^{93} + 9 q^{94} + 110 q^{95} + 4 q^{96} - 2 q^{98} - 28 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.415415 + 0.909632i 0.293743 + 0.643207i
\(3\) 0.0141569 0.00415683i 0.00817347 0.00239995i −0.277643 0.960684i \(-0.589553\pi\)
0.285817 + 0.958284i \(0.407735\pi\)
\(4\) −0.654861 + 0.755750i −0.327430 + 0.377875i
\(5\) −3.50493 2.25248i −1.56745 1.00734i −0.980218 0.197922i \(-0.936581\pi\)
−0.587233 0.809418i \(-0.699783\pi\)
\(6\) 0.00966216 + 0.0111507i 0.00394456 + 0.00455227i
\(7\) −0.142315 0.989821i −0.0537900 0.374117i
\(8\) −0.959493 0.281733i −0.339232 0.0996075i
\(9\) −2.52358 + 1.62180i −0.841192 + 0.540602i
\(10\) 0.592928 4.12391i 0.187500 1.30409i
\(11\) −0.164338 + 0.359850i −0.0495497 + 0.108499i −0.932788 0.360426i \(-0.882631\pi\)
0.883238 + 0.468925i \(0.155359\pi\)
\(12\) −0.00612925 + 0.0134212i −0.00176936 + 0.00387437i
\(13\) 0.524026 3.64468i 0.145339 1.01085i −0.778383 0.627789i \(-0.783960\pi\)
0.923722 0.383064i \(-0.125131\pi\)
\(14\) 0.841254 0.540641i 0.224834 0.144492i
\(15\) −0.0589820 0.0173187i −0.0152291 0.00447166i
\(16\) −0.142315 0.989821i −0.0355787 0.247455i
\(17\) −5.01611 5.78890i −1.21659 1.40401i −0.888191 0.459474i \(-0.848038\pi\)
−0.328395 0.944541i \(-0.606508\pi\)
\(18\) −2.52358 1.62180i −0.594813 0.382263i
\(19\) −4.06258 + 4.68846i −0.932019 + 1.07561i 0.0649565 + 0.997888i \(0.479309\pi\)
−0.996975 + 0.0777189i \(0.975236\pi\)
\(20\) 3.99755 1.17379i 0.893879 0.262467i
\(21\) −0.00612925 0.0134212i −0.00133751 0.00292874i
\(22\) −0.395599 −0.0843420
\(23\) 1.99735 4.36011i 0.416476 0.909147i
\(24\) −0.0147545 −0.00301176
\(25\) 5.13377 + 11.2414i 1.02675 + 2.24828i
\(26\) 3.53301 1.03738i 0.692880 0.203448i
\(27\) −0.0579709 + 0.0669020i −0.0111565 + 0.0128753i
\(28\) 0.841254 + 0.540641i 0.158982 + 0.102172i
\(29\) −0.216787 0.250186i −0.0402564 0.0464583i 0.735264 0.677780i \(-0.237058\pi\)
−0.775521 + 0.631322i \(0.782513\pi\)
\(30\) −0.00874838 0.0608463i −0.00159723 0.0111090i
\(31\) 6.68165 + 1.96191i 1.20006 + 0.352369i 0.819876 0.572542i \(-0.194042\pi\)
0.380184 + 0.924911i \(0.375861\pi\)
\(32\) 0.841254 0.540641i 0.148714 0.0955727i
\(33\) −0.000830675 0.00577747i −0.000144602 0.00100573i
\(34\) 3.18200 6.96761i 0.545709 1.19494i
\(35\) −1.73075 + 3.78981i −0.292550 + 0.640595i
\(36\) 0.426914 2.96925i 0.0711523 0.494875i
\(37\) −3.66590 + 2.35593i −0.602670 + 0.387312i −0.806102 0.591777i \(-0.798427\pi\)
0.203432 + 0.979089i \(0.434790\pi\)
\(38\) −5.95243 1.74779i −0.965612 0.283529i
\(39\) −0.00773176 0.0537756i −0.00123807 0.00861098i
\(40\) 2.72836 + 3.14869i 0.431391 + 0.497852i
\(41\) 3.16030 + 2.03100i 0.493556 + 0.317189i 0.763634 0.645649i \(-0.223413\pi\)
−0.270078 + 0.962838i \(0.587049\pi\)
\(42\) 0.00966216 0.0111507i 0.00149090 0.00172060i
\(43\) −3.79125 + 1.11321i −0.578161 + 0.169763i −0.557722 0.830028i \(-0.688325\pi\)
−0.0204388 + 0.999791i \(0.506506\pi\)
\(44\) −0.164338 0.359850i −0.0247749 0.0542494i
\(45\) 12.4980 1.86310
\(46\) 4.79583 + 0.00559465i 0.707106 + 0.000824887i
\(47\) −4.21317 −0.614555 −0.307277 0.951620i \(-0.599418\pi\)
−0.307277 + 0.951620i \(0.599418\pi\)
\(48\) −0.00612925 0.0134212i −0.000884682 0.00193718i
\(49\) −0.959493 + 0.281733i −0.137070 + 0.0402475i
\(50\) −8.09289 + 9.33969i −1.14451 + 1.32083i
\(51\) −0.0950759 0.0611016i −0.0133133 0.00855593i
\(52\) 2.41130 + 2.78279i 0.334388 + 0.385904i
\(53\) 0.444306 + 3.09022i 0.0610302 + 0.424474i 0.997315 + 0.0732323i \(0.0233315\pi\)
−0.936285 + 0.351242i \(0.885759\pi\)
\(54\) −0.0849381 0.0249401i −0.0115586 0.00339392i
\(55\) 1.38655 0.891079i 0.186962 0.120153i
\(56\) −0.142315 + 0.989821i −0.0190176 + 0.132270i
\(57\) −0.0380242 + 0.0832614i −0.00503643 + 0.0110282i
\(58\) 0.137520 0.301127i 0.0180573 0.0395400i
\(59\) 0.721739 5.01980i 0.0939624 0.653523i −0.887349 0.461098i \(-0.847456\pi\)
0.981312 0.192425i \(-0.0616352\pi\)
\(60\) 0.0517136 0.0332343i 0.00667619 0.00429053i
\(61\) −5.98335 1.75687i −0.766089 0.224944i −0.124736 0.992190i \(-0.539808\pi\)
−0.641353 + 0.767246i \(0.721627\pi\)
\(62\) 0.991042 + 6.89285i 0.125862 + 0.875393i
\(63\) 1.96444 + 2.26708i 0.247496 + 0.285626i
\(64\) 0.841254 + 0.540641i 0.105157 + 0.0675801i
\(65\) −10.0462 + 11.5940i −1.24608 + 1.43806i
\(66\) −0.00560044 + 0.00164444i −0.000689367 + 0.000202416i
\(67\) −5.49536 12.0332i −0.671365 1.47008i −0.871540 0.490324i \(-0.836878\pi\)
0.200175 0.979760i \(-0.435849\pi\)
\(68\) 7.65981 0.928889
\(69\) 0.0101519 0.0700282i 0.00122215 0.00843041i
\(70\) −4.16631 −0.497970
\(71\) −1.10479 2.41915i −0.131114 0.287101i 0.832676 0.553760i \(-0.186807\pi\)
−0.963791 + 0.266659i \(0.914080\pi\)
\(72\) 2.87827 0.845136i 0.339207 0.0996003i
\(73\) 3.11036 3.58955i 0.364041 0.420125i −0.543949 0.839118i \(-0.683071\pi\)
0.907989 + 0.418993i \(0.137617\pi\)
\(74\) −3.66590 2.35593i −0.426152 0.273871i
\(75\) 0.119407 + 0.137803i 0.0137879 + 0.0159121i
\(76\) −0.882882 6.14058i −0.101274 0.704373i
\(77\) 0.379575 + 0.111453i 0.0432565 + 0.0127013i
\(78\) 0.0457041 0.0293722i 0.00517497 0.00332575i
\(79\) 0.237949 1.65497i 0.0267713 0.186199i −0.972048 0.234783i \(-0.924562\pi\)
0.998819 + 0.0485846i \(0.0154711\pi\)
\(80\) −1.73075 + 3.78981i −0.193504 + 0.423714i
\(81\) 3.73792 8.18491i 0.415325 0.909434i
\(82\) −0.534628 + 3.71842i −0.0590398 + 0.410631i
\(83\) 3.36177 2.16048i 0.369003 0.237144i −0.342977 0.939344i \(-0.611435\pi\)
0.711979 + 0.702200i \(0.247799\pi\)
\(84\) 0.0141569 + 0.00415683i 0.00154464 + 0.000453548i
\(85\) 4.54172 + 31.5884i 0.492619 + 3.42624i
\(86\) −2.58756 2.98620i −0.279024 0.322010i
\(87\) −0.00410901 0.00264070i −0.000440532 0.000283113i
\(88\) 0.259062 0.298974i 0.0276161 0.0318707i
\(89\) −7.84641 + 2.30392i −0.831718 + 0.244215i −0.669755 0.742582i \(-0.733601\pi\)
−0.161963 + 0.986797i \(0.551783\pi\)
\(90\) 5.19187 + 11.3686i 0.547271 + 1.19836i
\(91\) −3.68216 −0.385995
\(92\) 1.98717 + 4.36476i 0.207177 + 0.455058i
\(93\) 0.102747 0.0106543
\(94\) −1.75022 3.83244i −0.180521 0.395286i
\(95\) 24.7997 7.28185i 2.54440 0.747102i
\(96\) 0.00966216 0.0111507i 0.000986140 0.00113807i
\(97\) 10.0418 + 6.45349i 1.01959 + 0.655253i 0.939859 0.341563i \(-0.110956\pi\)
0.0797348 + 0.996816i \(0.474593\pi\)
\(98\) −0.654861 0.755750i −0.0661509 0.0763422i
\(99\) −0.168887 1.17463i −0.0169737 0.118055i
\(100\) −11.8576 3.48170i −1.18576 0.348170i
\(101\) −9.04550 + 5.81319i −0.900061 + 0.578434i −0.906808 0.421543i \(-0.861488\pi\)
0.00674768 + 0.999977i \(0.497852\pi\)
\(102\) 0.0160840 0.111867i 0.00159255 0.0110764i
\(103\) 6.51486 14.2655i 0.641928 1.40563i −0.256517 0.966540i \(-0.582575\pi\)
0.898445 0.439086i \(-0.144698\pi\)
\(104\) −1.52962 + 3.34941i −0.149992 + 0.328437i
\(105\) −0.00874838 + 0.0608463i −0.000853755 + 0.00593799i
\(106\) −2.62639 + 1.68788i −0.255098 + 0.163941i
\(107\) 3.94370 + 1.15797i 0.381251 + 0.111946i 0.466742 0.884393i \(-0.345428\pi\)
−0.0854907 + 0.996339i \(0.527246\pi\)
\(108\) −0.0125983 0.0876229i −0.00121227 0.00843152i
\(109\) 5.23211 + 6.03817i 0.501145 + 0.578352i 0.948809 0.315850i \(-0.102290\pi\)
−0.447664 + 0.894202i \(0.647744\pi\)
\(110\) 1.38655 + 0.891079i 0.132202 + 0.0849610i
\(111\) −0.0421044 + 0.0485911i −0.00399638 + 0.00461206i
\(112\) −0.959493 + 0.281733i −0.0906636 + 0.0266212i
\(113\) −6.63784 14.5348i −0.624436 1.36732i −0.912249 0.409637i \(-0.865655\pi\)
0.287813 0.957687i \(-0.407072\pi\)
\(114\) −0.0915331 −0.00857286
\(115\) −16.8216 + 10.7829i −1.56863 + 1.00551i
\(116\) 0.331043 0.0307366
\(117\) 4.58854 + 10.0475i 0.424211 + 0.928892i
\(118\) 4.86599 1.42878i 0.447951 0.131530i
\(119\) −5.01611 + 5.78890i −0.459826 + 0.530668i
\(120\) 0.0517136 + 0.0332343i 0.00472078 + 0.00303386i
\(121\) 7.10098 + 8.19497i 0.645544 + 0.744997i
\(122\) −0.887468 6.17247i −0.0803476 0.558830i
\(123\) 0.0531825 + 0.0156158i 0.00479531 + 0.00140803i
\(124\) −5.85826 + 3.76488i −0.526087 + 0.338096i
\(125\) 4.36287 30.3445i 0.390227 2.71409i
\(126\) −1.24615 + 2.72870i −0.111016 + 0.243092i
\(127\) −5.15936 + 11.2974i −0.457819 + 1.00248i 0.530161 + 0.847897i \(0.322132\pi\)
−0.987979 + 0.154586i \(0.950596\pi\)
\(128\) −0.142315 + 0.989821i −0.0125790 + 0.0874887i
\(129\) −0.0490449 + 0.0315192i −0.00431816 + 0.00277511i
\(130\) −14.7196 4.32207i −1.29100 0.379071i
\(131\) −3.20717 22.3064i −0.280212 1.94891i −0.313827 0.949480i \(-0.601611\pi\)
0.0336156 0.999435i \(-0.489298\pi\)
\(132\) −0.00382234 0.00441122i −0.000332692 0.000383947i
\(133\) 5.21891 + 3.35399i 0.452536 + 0.290828i
\(134\) 8.66289 9.99751i 0.748360 0.863653i
\(135\) 0.353879 0.103908i 0.0304571 0.00894300i
\(136\) 3.18200 + 6.96761i 0.272854 + 0.597468i
\(137\) −1.51102 −0.129095 −0.0645475 0.997915i \(-0.520560\pi\)
−0.0645475 + 0.997915i \(0.520560\pi\)
\(138\) 0.0679172 0.0198563i 0.00578149 0.00169028i
\(139\) −21.5487 −1.82774 −0.913870 0.406007i \(-0.866921\pi\)
−0.913870 + 0.406007i \(0.866921\pi\)
\(140\) −1.73075 3.78981i −0.146275 0.320298i
\(141\) −0.0596454 + 0.0175135i −0.00502305 + 0.00147490i
\(142\) 1.74159 2.00990i 0.146151 0.168667i
\(143\) 1.22542 + 0.787530i 0.102475 + 0.0658565i
\(144\) 1.96444 + 2.26708i 0.163703 + 0.188924i
\(145\) 0.196285 + 1.36519i 0.0163006 + 0.113373i
\(146\) 4.55726 + 1.33813i 0.377162 + 0.110745i
\(147\) −0.0124123 + 0.00797690i −0.00102375 + 0.000657924i
\(148\) 0.620160 4.31331i 0.0509768 0.354552i
\(149\) 4.25362 9.31413i 0.348470 0.763043i −0.651520 0.758631i \(-0.725868\pi\)
0.999990 0.00441200i \(-0.00140439\pi\)
\(150\) −0.0757464 + 0.165862i −0.00618467 + 0.0135425i
\(151\) 2.37286 16.5036i 0.193101 1.34304i −0.630639 0.776076i \(-0.717207\pi\)
0.823740 0.566968i \(-0.191884\pi\)
\(152\) 5.21891 3.35399i 0.423309 0.272044i
\(153\) 22.0470 + 6.47359i 1.78240 + 0.523359i
\(154\) 0.0562996 + 0.391572i 0.00453675 + 0.0315538i
\(155\) −18.9995 21.9266i −1.52608 1.76119i
\(156\) 0.0457041 + 0.0293722i 0.00365926 + 0.00235166i
\(157\) 2.89631 3.34252i 0.231151 0.266762i −0.628311 0.777962i \(-0.716253\pi\)
0.859462 + 0.511200i \(0.170799\pi\)
\(158\) 1.60426 0.471053i 0.127628 0.0374750i
\(159\) 0.0191355 + 0.0419009i 0.00151754 + 0.00332296i
\(160\) −4.16631 −0.329376
\(161\) −4.59999 1.35651i −0.362530 0.106908i
\(162\) 8.99804 0.706953
\(163\) −3.15259 6.90321i −0.246930 0.540701i 0.745063 0.666994i \(-0.232419\pi\)
−0.991993 + 0.126293i \(0.959692\pi\)
\(164\) −3.60449 + 1.05837i −0.281463 + 0.0826451i
\(165\) 0.0159251 0.0183785i 0.00123977 0.00143077i
\(166\) 3.36177 + 2.16048i 0.260924 + 0.167686i
\(167\) 2.63880 + 3.04534i 0.204196 + 0.235655i 0.848606 0.529025i \(-0.177442\pi\)
−0.644410 + 0.764680i \(0.722897\pi\)
\(168\) 0.00209979 + 0.0146044i 0.000162002 + 0.00112675i
\(169\) −0.535695 0.157294i −0.0412073 0.0120995i
\(170\) −26.8471 + 17.2536i −2.05908 + 1.32329i
\(171\) 2.64845 18.4204i 0.202532 1.40864i
\(172\) 1.64143 3.59424i 0.125158 0.274058i
\(173\) −5.77236 + 12.6397i −0.438865 + 0.960980i 0.552941 + 0.833221i \(0.313506\pi\)
−0.991805 + 0.127759i \(0.959222\pi\)
\(174\) 0.000695121 0.00483467i 5.26970e−5 0.000366515i
\(175\) 10.3964 6.68134i 0.785891 0.505062i
\(176\) 0.379575 + 0.111453i 0.0286115 + 0.00840110i
\(177\) −0.0106489 0.0740648i −0.000800421 0.00556705i
\(178\) −5.35523 6.18027i −0.401392 0.463231i
\(179\) −6.89903 4.43374i −0.515658 0.331393i 0.256794 0.966466i \(-0.417334\pi\)
−0.772452 + 0.635073i \(0.780970\pi\)
\(180\) −8.18447 + 9.44539i −0.610035 + 0.704018i
\(181\) 14.0700 4.13131i 1.04581 0.307078i 0.286688 0.958024i \(-0.407446\pi\)
0.759124 + 0.650946i \(0.225628\pi\)
\(182\) −1.52962 3.34941i −0.113383 0.248275i
\(183\) −0.0920085 −0.00680146
\(184\) −3.14483 + 3.62078i −0.231840 + 0.266928i
\(185\) 18.1554 1.33481
\(186\) 0.0426825 + 0.0934616i 0.00312963 + 0.00685293i
\(187\) 2.90747 0.853710i 0.212615 0.0624295i
\(188\) 2.75904 3.18410i 0.201224 0.232225i
\(189\) 0.0744711 + 0.0478597i 0.00541698 + 0.00348128i
\(190\) 16.9260 + 19.5336i 1.22794 + 1.41712i
\(191\) 2.42241 + 16.8482i 0.175280 + 1.21910i 0.867510 + 0.497420i \(0.165719\pi\)
−0.692230 + 0.721677i \(0.743372\pi\)
\(192\) 0.0141569 + 0.00415683i 0.00102168 + 0.000299994i
\(193\) −3.61365 + 2.32235i −0.260116 + 0.167166i −0.664199 0.747556i \(-0.731227\pi\)
0.404083 + 0.914722i \(0.367591\pi\)
\(194\) −1.69878 + 11.8153i −0.121965 + 0.848286i
\(195\) −0.0940292 + 0.205895i −0.00673357 + 0.0147445i
\(196\) 0.415415 0.909632i 0.0296725 0.0649737i
\(197\) 2.09646 14.5812i 0.149367 1.03887i −0.767893 0.640578i \(-0.778695\pi\)
0.917260 0.398289i \(-0.130396\pi\)
\(198\) 0.998325 0.641584i 0.0709479 0.0455954i
\(199\) 16.1128 + 4.73113i 1.14220 + 0.335381i 0.797493 0.603328i \(-0.206159\pi\)
0.344710 + 0.938709i \(0.387977\pi\)
\(200\) −1.75875 12.2324i −0.124363 0.864961i
\(201\) −0.127817 0.147509i −0.00901551 0.0104045i
\(202\) −9.04550 5.81319i −0.636439 0.409014i
\(203\) −0.216787 + 0.250186i −0.0152155 + 0.0175596i
\(204\) 0.108439 0.0318406i 0.00759225 0.00222929i
\(205\) −6.50184 14.2370i −0.454108 0.994358i
\(206\) 15.6828 1.09267
\(207\) 2.03079 + 14.2424i 0.141150 + 0.989915i
\(208\) −3.68216 −0.255312
\(209\) −1.01951 2.23241i −0.0705207 0.154419i
\(210\) −0.0589820 + 0.0173187i −0.00407014 + 0.00119510i
\(211\) −5.62986 + 6.49721i −0.387576 + 0.447286i −0.915689 0.401888i \(-0.868354\pi\)
0.528113 + 0.849174i \(0.322900\pi\)
\(212\) −2.62639 1.68788i −0.180381 0.115924i
\(213\) −0.0256964 0.0296552i −0.00176069 0.00203194i
\(214\) 0.584941 + 4.06835i 0.0399857 + 0.278107i
\(215\) 15.7956 + 4.63800i 1.07725 + 0.316309i
\(216\) 0.0744711 0.0478597i 0.00506712 0.00325644i
\(217\) 0.991042 6.89285i 0.0672763 0.467917i
\(218\) −3.31902 + 7.26764i −0.224792 + 0.492227i
\(219\) 0.0291119 0.0637461i 0.00196720 0.00430756i
\(220\) −0.234562 + 1.63141i −0.0158142 + 0.109990i
\(221\) −23.7273 + 15.2486i −1.59607 + 1.02573i
\(222\) −0.0616908 0.0181141i −0.00414042 0.00121574i
\(223\) −3.50704 24.3920i −0.234849 1.63341i −0.676656 0.736299i \(-0.736572\pi\)
0.441808 0.897110i \(-0.354337\pi\)
\(224\) −0.654861 0.755750i −0.0437547 0.0504956i
\(225\) −31.1868 20.0426i −2.07912 1.33617i
\(226\) 10.4639 12.0760i 0.696049 0.803283i
\(227\) −12.4584 + 3.65813i −0.826896 + 0.242798i −0.667683 0.744446i \(-0.732714\pi\)
−0.159213 + 0.987244i \(0.550896\pi\)
\(228\) −0.0380242 0.0832614i −0.00251821 0.00551412i
\(229\) −28.7750 −1.90150 −0.950752 0.309953i \(-0.899687\pi\)
−0.950752 + 0.309953i \(0.899687\pi\)
\(230\) −16.7964 10.8221i −1.10752 0.713589i
\(231\) 0.00583688 0.000384038
\(232\) 0.137520 + 0.301127i 0.00902865 + 0.0197700i
\(233\) 1.89442 0.556253i 0.124108 0.0364413i −0.219089 0.975705i \(-0.570308\pi\)
0.343197 + 0.939264i \(0.388490\pi\)
\(234\) −7.23338 + 8.34777i −0.472861 + 0.545711i
\(235\) 14.7669 + 9.49009i 0.963284 + 0.619065i
\(236\) 3.32108 + 3.83272i 0.216184 + 0.249489i
\(237\) −0.00351082 0.0244183i −0.000228052 0.00158614i
\(238\) −7.34954 2.15802i −0.476400 0.139884i
\(239\) 10.4142 6.69280i 0.673639 0.432921i −0.158597 0.987343i \(-0.550697\pi\)
0.832236 + 0.554422i \(0.187061\pi\)
\(240\) −0.00874838 + 0.0608463i −0.000564706 + 0.00392761i
\(241\) −4.59654 + 10.0650i −0.296089 + 0.648345i −0.997952 0.0639671i \(-0.979625\pi\)
0.701863 + 0.712312i \(0.252352\pi\)
\(242\) −4.50455 + 9.86360i −0.289564 + 0.634056i
\(243\) 0.0566888 0.394279i 0.00363659 0.0252930i
\(244\) 5.24601 3.37141i 0.335842 0.215832i
\(245\) 3.99755 + 1.17379i 0.255394 + 0.0749905i
\(246\) 0.00788819 + 0.0548636i 0.000502933 + 0.00349797i
\(247\) 14.9591 + 17.2637i 0.951822 + 1.09846i
\(248\) −5.85826 3.76488i −0.372000 0.239070i
\(249\) 0.0386114 0.0445600i 0.00244690 0.00282387i
\(250\) 29.4147 8.63693i 1.86035 0.546248i
\(251\) 1.37383 + 3.00827i 0.0867155 + 0.189880i 0.948022 0.318206i \(-0.103080\pi\)
−0.861306 + 0.508086i \(0.830353\pi\)
\(252\) −2.99978 −0.188969
\(253\) 1.24075 + 1.43528i 0.0780050 + 0.0902351i
\(254\) −12.4198 −0.779285
\(255\) 0.195604 + 0.428313i 0.0122492 + 0.0268220i
\(256\) −0.959493 + 0.281733i −0.0599683 + 0.0176083i
\(257\) −13.1293 + 15.1520i −0.818984 + 0.945158i −0.999260 0.0384578i \(-0.987755\pi\)
0.180276 + 0.983616i \(0.442301\pi\)
\(258\) −0.0490449 0.0315192i −0.00305340 0.00196230i
\(259\) 2.85366 + 3.29330i 0.177318 + 0.204636i
\(260\) −2.18326 15.1849i −0.135400 0.941727i
\(261\) 0.952831 + 0.279777i 0.0589788 + 0.0173177i
\(262\) 18.9583 12.1837i 1.17125 0.752714i
\(263\) −2.23688 + 15.5579i −0.137932 + 0.959339i 0.796865 + 0.604157i \(0.206490\pi\)
−0.934797 + 0.355182i \(0.884419\pi\)
\(264\) 0.00242473 0.00530941i 0.000149232 0.000326772i
\(265\) 5.40340 11.8318i 0.331928 0.726821i
\(266\) −0.882882 + 6.14058i −0.0541330 + 0.376503i
\(267\) −0.101504 + 0.0652325i −0.00621192 + 0.00399216i
\(268\) 12.6927 + 3.72693i 0.775333 + 0.227658i
\(269\) 2.22693 + 15.4887i 0.135779 + 0.944361i 0.937827 + 0.347102i \(0.112834\pi\)
−0.802049 + 0.597259i \(0.796257\pi\)
\(270\) 0.241525 + 0.278735i 0.0146987 + 0.0169633i
\(271\) −2.24968 1.44578i −0.136658 0.0878250i 0.470525 0.882386i \(-0.344064\pi\)
−0.607184 + 0.794562i \(0.707701\pi\)
\(272\) −5.01611 + 5.78890i −0.304146 + 0.351004i
\(273\) −0.0521279 + 0.0153061i −0.00315492 + 0.000926369i
\(274\) −0.627700 1.37447i −0.0379207 0.0830348i
\(275\) −4.88888 −0.294811
\(276\) 0.0462757 + 0.0535311i 0.00278547 + 0.00322219i
\(277\) −6.79789 −0.408446 −0.204223 0.978924i \(-0.565467\pi\)
−0.204223 + 0.978924i \(0.565467\pi\)
\(278\) −8.95167 19.6014i −0.536885 1.17561i
\(279\) −20.0435 + 5.88530i −1.19997 + 0.352344i
\(280\) 2.72836 3.14869i 0.163050 0.188170i
\(281\) −12.7350 8.18426i −0.759704 0.488232i 0.102538 0.994729i \(-0.467304\pi\)
−0.862242 + 0.506497i \(0.830940\pi\)
\(282\) −0.0407084 0.0469800i −0.00242415 0.00279762i
\(283\) 3.12890 + 21.7620i 0.185994 + 1.29362i 0.842254 + 0.539081i \(0.181229\pi\)
−0.656260 + 0.754535i \(0.727862\pi\)
\(284\) 2.55176 + 0.749263i 0.151419 + 0.0444606i
\(285\) 0.320817 0.206176i 0.0190035 0.0122128i
\(286\) −0.207304 + 1.44183i −0.0122582 + 0.0852574i
\(287\) 1.56057 3.41718i 0.0921177 0.201710i
\(288\) −1.24615 + 2.72870i −0.0734304 + 0.160790i
\(289\) −5.93065 + 41.2486i −0.348862 + 2.42639i
\(290\) −1.16028 + 0.745668i −0.0681341 + 0.0437871i
\(291\) 0.168987 + 0.0496191i 0.00990619 + 0.00290872i
\(292\) 0.675947 + 4.70131i 0.0395568 + 0.275123i
\(293\) −1.41122 1.62864i −0.0824444 0.0951459i 0.713029 0.701135i \(-0.247323\pi\)
−0.795473 + 0.605989i \(0.792778\pi\)
\(294\) −0.0124123 0.00797690i −0.000723900 0.000465222i
\(295\) −13.8366 + 15.9683i −0.805601 + 0.929713i
\(296\) 4.18114 1.22769i 0.243024 0.0713583i
\(297\) −0.0145478 0.0318553i −0.000844151 0.00184843i
\(298\) 10.2395 0.593155
\(299\) −14.8446 9.56451i −0.858484 0.553130i
\(300\) −0.182339 −0.0105274
\(301\) 1.64143 + 3.59424i 0.0946107 + 0.207168i
\(302\) 15.9979 4.69742i 0.920578 0.270306i
\(303\) −0.103891 + 0.119897i −0.00596841 + 0.00688791i
\(304\) 5.21891 + 3.35399i 0.299325 + 0.192364i
\(305\) 17.0139 + 19.6351i 0.974212 + 1.12430i
\(306\) 3.27008 + 22.7439i 0.186938 + 1.30018i
\(307\) 7.73611 + 2.27153i 0.441523 + 0.129643i 0.494936 0.868930i \(-0.335192\pi\)
−0.0534124 + 0.998573i \(0.517010\pi\)
\(308\) −0.332799 + 0.213877i −0.0189630 + 0.0121868i
\(309\) 0.0329305 0.229037i 0.00187335 0.0130294i
\(310\) 12.0525 26.3912i 0.684534 1.49892i
\(311\) −5.58092 + 12.2205i −0.316465 + 0.692962i −0.999292 0.0376180i \(-0.988023\pi\)
0.682827 + 0.730580i \(0.260750\pi\)
\(312\) −0.00773176 + 0.0537756i −0.000437725 + 0.00304444i
\(313\) 17.1169 11.0004i 0.967506 0.621778i 0.0414404 0.999141i \(-0.486805\pi\)
0.926066 + 0.377363i \(0.123169\pi\)
\(314\) 4.24364 + 1.24604i 0.239482 + 0.0703184i
\(315\) −1.77866 12.3708i −0.100216 0.697017i
\(316\) 1.09492 + 1.26360i 0.0615940 + 0.0710833i
\(317\) 3.51952 + 2.26186i 0.197676 + 0.127039i 0.635734 0.771908i \(-0.280697\pi\)
−0.438058 + 0.898947i \(0.644334\pi\)
\(318\) −0.0301652 + 0.0348125i −0.00169158 + 0.00195219i
\(319\) 0.125656 0.0368958i 0.00703536 0.00206577i
\(320\) −1.73075 3.78981i −0.0967519 0.211857i
\(321\) 0.0606439 0.00338481
\(322\) −0.676980 4.74781i −0.0377266 0.264585i
\(323\) 47.5194 2.64405
\(324\) 3.73792 + 8.18491i 0.207662 + 0.454717i
\(325\) 43.6615 12.8202i 2.42191 0.711136i
\(326\) 4.96975 5.73539i 0.275249 0.317654i
\(327\) 0.0991699 + 0.0637326i 0.00548411 + 0.00352442i
\(328\) −2.46009 2.83909i −0.135836 0.156763i
\(329\) 0.599597 + 4.17029i 0.0330569 + 0.229916i
\(330\) 0.0233332 + 0.00685125i 0.00128445 + 0.000377149i
\(331\) 20.7631 13.3437i 1.14125 0.733434i 0.173368 0.984857i \(-0.444535\pi\)
0.967877 + 0.251423i \(0.0808986\pi\)
\(332\) −0.568711 + 3.95547i −0.0312121 + 0.217085i
\(333\) 5.43032 11.8907i 0.297580 0.651609i
\(334\) −1.67394 + 3.66541i −0.0915938 + 0.200563i
\(335\) −7.84361 + 54.5535i −0.428542 + 2.98058i
\(336\) −0.0124123 + 0.00797690i −0.000677147 + 0.000435176i
\(337\) 31.4021 + 9.22050i 1.71058 + 0.502273i 0.982978 0.183724i \(-0.0588152\pi\)
0.727605 + 0.685996i \(0.240633\pi\)
\(338\) −0.0794558 0.552627i −0.00432183 0.0300590i
\(339\) −0.154390 0.178176i −0.00838531 0.00967717i
\(340\) −26.8471 17.2536i −1.45599 0.935707i
\(341\) −1.80404 + 2.08197i −0.0976942 + 0.112745i
\(342\) 17.8560 5.24299i 0.965542 0.283509i
\(343\) 0.415415 + 0.909632i 0.0224303 + 0.0491155i
\(344\) 3.95131 0.213040
\(345\) −0.193319 + 0.222577i −0.0104079 + 0.0119831i
\(346\) −13.8954 −0.747022
\(347\) −2.83804 6.21443i −0.152354 0.333608i 0.818030 0.575175i \(-0.195066\pi\)
−0.970384 + 0.241567i \(0.922339\pi\)
\(348\) 0.00468653 0.00137609i 0.000251225 7.37662e-5i
\(349\) −0.834162 + 0.962674i −0.0446517 + 0.0515308i −0.777636 0.628715i \(-0.783581\pi\)
0.732984 + 0.680245i \(0.238127\pi\)
\(350\) 10.3964 + 6.68134i 0.555709 + 0.357132i
\(351\) 0.213458 + 0.246344i 0.0113936 + 0.0131489i
\(352\) 0.0562996 + 0.391572i 0.00300078 + 0.0208709i
\(353\) −31.5333 9.25901i −1.67835 0.492807i −0.702577 0.711607i \(-0.747967\pi\)
−0.975770 + 0.218800i \(0.929786\pi\)
\(354\) 0.0629480 0.0404542i 0.00334565 0.00215012i
\(355\) −1.57688 + 10.9675i −0.0836923 + 0.582093i
\(356\) 3.39713 7.43867i 0.180047 0.394249i
\(357\) −0.0469490 + 0.102804i −0.00248480 + 0.00544096i
\(358\) 1.16711 8.11742i 0.0616837 0.429019i
\(359\) 24.1062 15.4921i 1.27228 0.817644i 0.282364 0.959307i \(-0.408881\pi\)
0.989915 + 0.141663i \(0.0452450\pi\)
\(360\) −11.9918 3.52110i −0.632022 0.185578i
\(361\) −2.77318 19.2879i −0.145957 1.01515i
\(362\) 9.60284 + 11.0823i 0.504714 + 0.582471i
\(363\) 0.134593 + 0.0864976i 0.00706429 + 0.00453994i
\(364\) 2.41130 2.78279i 0.126387 0.145858i
\(365\) −18.9870 + 5.57508i −0.993824 + 0.291813i
\(366\) −0.0382217 0.0836939i −0.00199788 0.00437475i
\(367\) −18.9964 −0.991605 −0.495803 0.868435i \(-0.665126\pi\)
−0.495803 + 0.868435i \(0.665126\pi\)
\(368\) −4.59999 1.35651i −0.239791 0.0707129i
\(369\) −11.2692 −0.586649
\(370\) 7.54202 + 16.5147i 0.392091 + 0.858559i
\(371\) 2.99553 0.879568i 0.155520 0.0456649i
\(372\) −0.0672847 + 0.0776507i −0.00348855 + 0.00402600i
\(373\) −6.13638 3.94361i −0.317730 0.204192i 0.372048 0.928213i \(-0.378656\pi\)
−0.689778 + 0.724021i \(0.742292\pi\)
\(374\) 1.98437 + 2.29008i 0.102609 + 0.118417i
\(375\) −0.0643722 0.447718i −0.00332416 0.0231201i
\(376\) 4.04251 + 1.18699i 0.208477 + 0.0612142i
\(377\) −1.02545 + 0.659016i −0.0528133 + 0.0339411i
\(378\) −0.0125983 + 0.0876229i −0.000647985 + 0.00450684i
\(379\) −5.16947 + 11.3196i −0.265538 + 0.581447i −0.994691 0.102903i \(-0.967187\pi\)
0.729153 + 0.684350i \(0.239914\pi\)
\(380\) −10.7371 + 23.5110i −0.550801 + 1.20609i
\(381\) −0.0260789 + 0.181383i −0.00133606 + 0.00929251i
\(382\) −14.3194 + 9.20252i −0.732644 + 0.470842i
\(383\) −5.09661 1.49650i −0.260425 0.0764676i 0.148914 0.988850i \(-0.452422\pi\)
−0.409338 + 0.912383i \(0.634240\pi\)
\(384\) 0.00209979 + 0.0146044i 0.000107154 + 0.000745275i
\(385\) −1.07934 1.24562i −0.0550080 0.0634826i
\(386\) −3.61365 2.32235i −0.183930 0.118204i
\(387\) 7.76211 8.95795i 0.394570 0.455358i
\(388\) −11.4532 + 3.36297i −0.581450 + 0.170729i
\(389\) 2.04648 + 4.48117i 0.103761 + 0.227204i 0.954391 0.298561i \(-0.0965065\pi\)
−0.850630 + 0.525765i \(0.823779\pi\)
\(390\) −0.226350 −0.0114617
\(391\) −35.2592 + 10.3084i −1.78313 + 0.521317i
\(392\) 1.00000 0.0505076
\(393\) −0.138127 0.302456i −0.00696760 0.0152569i
\(394\) 14.1344 4.15024i 0.712082 0.209086i
\(395\) −4.56178 + 5.26457i −0.229528 + 0.264889i
\(396\) 0.998325 + 0.641584i 0.0501677 + 0.0322408i
\(397\) −5.86434 6.76781i −0.294323 0.339666i 0.589258 0.807945i \(-0.299420\pi\)
−0.883581 + 0.468278i \(0.844875\pi\)
\(398\) 2.38989 + 16.6221i 0.119794 + 0.833189i
\(399\) 0.0878253 + 0.0257878i 0.00439677 + 0.00129101i
\(400\) 10.3964 6.68134i 0.519818 0.334067i
\(401\) −0.680213 + 4.73099i −0.0339682 + 0.236254i −0.999732 0.0231706i \(-0.992624\pi\)
0.965763 + 0.259425i \(0.0835330\pi\)
\(402\) 0.0810814 0.177544i 0.00404397 0.00885507i
\(403\) 10.6519 23.3244i 0.530609 1.16187i
\(404\) 1.53023 10.6430i 0.0761316 0.529507i
\(405\) −31.5375 + 20.2679i −1.56711 + 1.00712i
\(406\) −0.317634 0.0932656i −0.0157639 0.00462869i
\(407\) −0.245335 1.70634i −0.0121608 0.0845801i
\(408\) 0.0740104 + 0.0854125i 0.00366406 + 0.00422855i
\(409\) −27.2378 17.5046i −1.34682 0.865549i −0.349376 0.936983i \(-0.613606\pi\)
−0.997445 + 0.0714336i \(0.977243\pi\)
\(410\) 10.2495 11.8286i 0.506187 0.584171i
\(411\) −0.0213913 + 0.00628105i −0.00105515 + 0.000309821i
\(412\) 6.51486 + 14.2655i 0.320964 + 0.702813i
\(413\) −5.07142 −0.249548
\(414\) −12.1117 + 7.76378i −0.595258 + 0.381569i
\(415\) −16.6492 −0.817277
\(416\) −1.52962 3.34941i −0.0749960 0.164218i
\(417\) −0.305063 + 0.0895745i −0.0149390 + 0.00438648i
\(418\) 1.60715 1.85475i 0.0786083 0.0907189i
\(419\) 0.654944 + 0.420907i 0.0319961 + 0.0205626i 0.556541 0.830820i \(-0.312128\pi\)
−0.524545 + 0.851383i \(0.675765\pi\)
\(420\) −0.0402556 0.0464575i −0.00196427 0.00226689i
\(421\) −4.38905 30.5265i −0.213909 1.48777i −0.759934 0.650001i \(-0.774769\pi\)
0.546025 0.837769i \(-0.316141\pi\)
\(422\) −8.24880 2.42207i −0.401545 0.117904i
\(423\) 10.6323 6.83295i 0.516959 0.332229i
\(424\) 0.444306 3.09022i 0.0215774 0.150074i
\(425\) 39.3238 86.1070i 1.90748 4.17680i
\(426\) 0.0163007 0.0356935i 0.000789769 0.00172935i
\(427\) −0.887468 + 6.17247i −0.0429476 + 0.298707i
\(428\) −3.45771 + 2.22214i −0.167135 + 0.107411i
\(429\) 0.0206217 + 0.00605509i 0.000995627 + 0.000292342i
\(430\) 2.34284 + 16.2948i 0.112982 + 0.785807i
\(431\) −15.9850 18.4476i −0.769968 0.888591i 0.226374 0.974040i \(-0.427313\pi\)
−0.996342 + 0.0854496i \(0.972767\pi\)
\(432\) 0.0744711 + 0.0478597i 0.00358299 + 0.00230265i
\(433\) −16.6887 + 19.2597i −0.802006 + 0.925564i −0.998490 0.0549428i \(-0.982502\pi\)
0.196483 + 0.980507i \(0.437048\pi\)
\(434\) 6.68165 1.96191i 0.320729 0.0941747i
\(435\) 0.00845365 + 0.0185109i 0.000405321 + 0.000887530i
\(436\) −7.98965 −0.382635
\(437\) 12.3279 + 27.0778i 0.589721 + 1.29531i
\(438\) 0.0700790 0.00334850
\(439\) 4.44671 + 9.73693i 0.212230 + 0.464718i 0.985569 0.169274i \(-0.0541423\pi\)
−0.773339 + 0.633992i \(0.781415\pi\)
\(440\) −1.58143 + 0.464349i −0.0753916 + 0.0221370i
\(441\) 1.96444 2.26708i 0.0935447 0.107956i
\(442\) −23.7273 15.2486i −1.12859 0.725302i
\(443\) 7.39317 + 8.53217i 0.351260 + 0.405376i 0.903693 0.428182i \(-0.140846\pi\)
−0.552433 + 0.833558i \(0.686300\pi\)
\(444\) −0.00915017 0.0636408i −0.000434248 0.00302026i
\(445\) 32.6906 + 9.59884i 1.54968 + 0.455028i
\(446\) 20.7309 13.3229i 0.981635 0.630858i
\(447\) 0.0215007 0.149541i 0.00101695 0.00707303i
\(448\) 0.415415 0.909632i 0.0196265 0.0429761i
\(449\) −10.6839 + 23.3944i −0.504203 + 1.10405i 0.470877 + 0.882199i \(0.343938\pi\)
−0.975080 + 0.221852i \(0.928790\pi\)
\(450\) 5.27587 36.6945i 0.248707 1.72980i
\(451\) −1.25021 + 0.803463i −0.0588702 + 0.0378336i
\(452\) 15.3316 + 4.50175i 0.721136 + 0.211745i
\(453\) −0.0350104 0.243503i −0.00164493 0.0114408i
\(454\) −8.50297 9.81295i −0.399064 0.460545i
\(455\) 12.9057 + 8.29399i 0.605029 + 0.388828i
\(456\) 0.0599414 0.0691761i 0.00280701 0.00323947i
\(457\) 9.60529 2.82037i 0.449317 0.131931i −0.0492426 0.998787i \(-0.515681\pi\)
0.498559 + 0.866856i \(0.333863\pi\)
\(458\) −11.9536 26.1746i −0.558553 1.22306i
\(459\) 0.678077 0.0316499
\(460\) 2.86665 19.7742i 0.133658 0.921979i
\(461\) 7.81147 0.363816 0.181908 0.983316i \(-0.441773\pi\)
0.181908 + 0.983316i \(0.441773\pi\)
\(462\) 0.00242473 + 0.00530941i 0.000112809 + 0.000247016i
\(463\) 36.5105 10.7204i 1.69679 0.498221i 0.716798 0.697281i \(-0.245607\pi\)
0.979987 + 0.199059i \(0.0637887\pi\)
\(464\) −0.216787 + 0.250186i −0.0100641 + 0.0116146i
\(465\) −0.360119 0.231435i −0.0167001 0.0107325i
\(466\) 1.29296 + 1.49215i 0.0598951 + 0.0691226i
\(467\) 2.07598 + 14.4388i 0.0960651 + 0.668148i 0.979774 + 0.200110i \(0.0641298\pi\)
−0.883708 + 0.468038i \(0.844961\pi\)
\(468\) −10.5983 3.11193i −0.489904 0.143849i
\(469\) −11.1286 + 7.15192i −0.513871 + 0.330245i
\(470\) −2.49811 + 17.3747i −0.115229 + 0.801437i
\(471\) 0.0271084 0.0593592i 0.00124909 0.00273513i
\(472\) −2.10674 + 4.61313i −0.0969708 + 0.212336i
\(473\) 0.222457 1.54722i 0.0102286 0.0711415i
\(474\) 0.0207532 0.0133373i 0.000953227 0.000612602i
\(475\) −73.5612 21.5995i −3.37522 0.991054i
\(476\) −1.09011 7.58185i −0.0499649 0.347513i
\(477\) −6.13297 7.07783i −0.280810 0.324072i
\(478\) 10.4142 + 6.69280i 0.476335 + 0.306122i
\(479\) −11.0839 + 12.7915i −0.506435 + 0.584457i −0.950182 0.311695i \(-0.899103\pi\)
0.443747 + 0.896152i \(0.353649\pi\)
\(480\) −0.0589820 + 0.0173187i −0.00269215 + 0.000790486i
\(481\) 6.66559 + 14.5956i 0.303925 + 0.665502i
\(482\) −11.0649 −0.503994
\(483\) −0.0707602 8.25465e-5i −0.00321970 3.75600e-6i
\(484\) −10.8435 −0.492886
\(485\) −20.6595 45.2381i −0.938101 2.05415i
\(486\) 0.382199 0.112224i 0.0173369 0.00509057i
\(487\) −11.0073 + 12.7031i −0.498789 + 0.575633i −0.948193 0.317696i \(-0.897091\pi\)
0.449404 + 0.893329i \(0.351636\pi\)
\(488\) 5.24601 + 3.37141i 0.237476 + 0.152616i
\(489\) −0.0733263 0.0846230i −0.00331593 0.00382679i
\(490\) 0.592928 + 4.12391i 0.0267858 + 0.186299i
\(491\) 22.9696 + 6.74449i 1.03661 + 0.304375i 0.755394 0.655271i \(-0.227446\pi\)
0.281211 + 0.959646i \(0.409264\pi\)
\(492\) −0.0466288 + 0.0299665i −0.00210219 + 0.00135099i
\(493\) −0.360872 + 2.50992i −0.0162529 + 0.113041i
\(494\) −9.48937 + 20.7788i −0.426947 + 0.934884i
\(495\) −2.05390 + 4.49741i −0.0923159 + 0.202144i
\(496\) 0.991042 6.89285i 0.0444991 0.309498i
\(497\) −2.23730 + 1.43783i −0.100357 + 0.0644953i
\(498\) 0.0565729 + 0.0166113i 0.00253509 + 0.000744371i
\(499\) −1.82017 12.6596i −0.0814821 0.566721i −0.989136 0.147002i \(-0.953038\pi\)
0.907654 0.419719i \(-0.137871\pi\)
\(500\) 20.0757 + 23.1686i 0.897814 + 1.03613i
\(501\) 0.0500161 + 0.0321434i 0.00223455 + 0.00143606i
\(502\) −2.16571 + 2.49936i −0.0966604 + 0.111552i
\(503\) 17.3981 5.10854i 0.775743 0.227779i 0.130185 0.991490i \(-0.458443\pi\)
0.645558 + 0.763711i \(0.276625\pi\)
\(504\) −1.24615 2.72870i −0.0555081 0.121546i
\(505\) 44.7979 1.99348
\(506\) −0.790149 + 1.72486i −0.0351264 + 0.0766793i
\(507\) −0.00823761 −0.000365845
\(508\) −5.15936 11.2974i −0.228909 0.501242i
\(509\) −2.00048 + 0.587394i −0.0886698 + 0.0260358i −0.325767 0.945450i \(-0.605622\pi\)
0.237097 + 0.971486i \(0.423804\pi\)
\(510\) −0.308351 + 0.355856i −0.0136540 + 0.0157575i
\(511\) −3.99567 2.56786i −0.176758 0.113595i
\(512\) −0.654861 0.755750i −0.0289410 0.0333997i
\(513\) −0.0781562 0.543589i −0.00345068 0.0240000i
\(514\) −19.2369 5.64846i −0.848503 0.249143i
\(515\) −54.9669 + 35.3251i −2.42213 + 1.55661i
\(516\) 0.00829692 0.0577063i 0.000365251 0.00254038i
\(517\) 0.692384 1.51611i 0.0304510 0.0666784i
\(518\) −1.81024 + 3.96387i −0.0795373 + 0.174162i
\(519\) −0.0291774 + 0.202934i −0.00128075 + 0.00890779i
\(520\) 12.9057 8.29399i 0.565953 0.363716i
\(521\) 22.9854 + 6.74913i 1.00701 + 0.295685i 0.743329 0.668926i \(-0.233246\pi\)
0.263680 + 0.964610i \(0.415064\pi\)
\(522\) 0.141327 + 0.982949i 0.00618571 + 0.0430225i
\(523\) −5.21343 6.01662i −0.227968 0.263089i 0.630230 0.776409i \(-0.282961\pi\)
−0.858197 + 0.513320i \(0.828415\pi\)
\(524\) 18.9583 + 12.1837i 0.828196 + 0.532249i
\(525\) 0.119407 0.137803i 0.00521134 0.00601420i
\(526\) −15.0812 + 4.42823i −0.657570 + 0.193080i
\(527\) −22.1586 48.5206i −0.965244 2.11359i
\(528\) 0.00583688 0.000254018
\(529\) −15.0212 17.4173i −0.653096 0.757275i
\(530\) 13.0072 0.564998
\(531\) 6.31978 + 13.8384i 0.274255 + 0.600534i
\(532\) −5.95243 + 1.74779i −0.258071 + 0.0757764i
\(533\) 9.05844 10.4540i 0.392365 0.452813i
\(534\) −0.101504 0.0652325i −0.00439249 0.00282288i
\(535\) −11.2141 12.9417i −0.484826 0.559519i
\(536\) 1.88263 + 13.0940i 0.0813170 + 0.565573i
\(537\) −0.116099 0.0340898i −0.00501004 0.00147108i
\(538\) −13.1639 + 8.45992i −0.567536 + 0.364733i
\(539\) 0.0562996 0.391572i 0.00242500 0.0168662i
\(540\) −0.153213 + 0.335489i −0.00659323 + 0.0144372i
\(541\) 17.3025 37.8872i 0.743892 1.62890i −0.0331514 0.999450i \(-0.510554\pi\)
0.777044 0.629447i \(-0.216718\pi\)
\(542\) 0.380578 2.64698i 0.0163472 0.113698i
\(543\) 0.182013 0.116973i 0.00781094 0.00501979i
\(544\) −7.34954 2.15802i −0.315109 0.0925243i
\(545\) −4.73729 32.9486i −0.202923 1.41136i
\(546\) −0.0355776 0.0410588i −0.00152258 0.00175715i
\(547\) −28.2453 18.1522i −1.20768 0.776130i −0.227413 0.973798i \(-0.573027\pi\)
−0.980269 + 0.197668i \(0.936663\pi\)
\(548\) 0.989507 1.14195i 0.0422696 0.0487817i
\(549\) 17.9487 5.27023i 0.766033 0.224928i
\(550\) −2.03092 4.44709i −0.0865985 0.189624i
\(551\) 2.05370 0.0874906
\(552\) −0.0294699 + 0.0643315i −0.00125432 + 0.00273813i
\(553\) −1.67199 −0.0711002
\(554\) −2.82395 6.18358i −0.119978 0.262715i
\(555\) 0.257023 0.0754689i 0.0109100 0.00320348i
\(556\) 14.1114 16.2854i 0.598457 0.690657i
\(557\) 4.79393 + 3.08087i 0.203125 + 0.130541i 0.638249 0.769830i \(-0.279659\pi\)
−0.435124 + 0.900371i \(0.643295\pi\)
\(558\) −13.6798 15.7874i −0.579113 0.668332i
\(559\) 2.07059 + 14.4013i 0.0875766 + 0.609109i
\(560\) 3.99755 + 1.17379i 0.168927 + 0.0496015i
\(561\) 0.0376120 0.0241717i 0.00158798 0.00102053i
\(562\) 2.15437 14.9840i 0.0908767 0.632061i
\(563\) 4.71331 10.3207i 0.198642 0.434966i −0.783929 0.620850i \(-0.786788\pi\)
0.982572 + 0.185884i \(0.0595148\pi\)
\(564\) 0.0258236 0.0565458i 0.00108737 0.00238101i
\(565\) −9.47430 + 65.8952i −0.398587 + 2.77223i
\(566\) −18.4956 + 11.8864i −0.777429 + 0.499623i
\(567\) −8.63356 2.53504i −0.362575 0.106462i
\(568\) 0.378484 + 2.63242i 0.0158808 + 0.110454i
\(569\) 26.5539 + 30.6449i 1.11320 + 1.28470i 0.954775 + 0.297329i \(0.0960958\pi\)
0.158424 + 0.987371i \(0.449359\pi\)
\(570\) 0.320817 + 0.206176i 0.0134375 + 0.00863578i
\(571\) −14.3558 + 16.5675i −0.600773 + 0.693330i −0.971938 0.235238i \(-0.924413\pi\)
0.371164 + 0.928567i \(0.378959\pi\)
\(572\) −1.39765 + 0.410388i −0.0584389 + 0.0171592i
\(573\) 0.104329 + 0.228449i 0.00435841 + 0.00954359i
\(574\) 3.75666 0.156800
\(575\) 59.2677 + 0.0691397i 2.47163 + 0.00288333i
\(576\) −2.99978 −0.124991
\(577\) −8.00234 17.5227i −0.333142 0.729479i 0.666733 0.745297i \(-0.267692\pi\)
−0.999875 + 0.0158178i \(0.994965\pi\)
\(578\) −39.9847 + 11.7406i −1.66315 + 0.488344i
\(579\) −0.0415043 + 0.0478985i −0.00172486 + 0.00199059i
\(580\) −1.16028 0.745668i −0.0481781 0.0309622i
\(581\) −2.61692 3.02009i −0.108568 0.125294i
\(582\) 0.0250647 + 0.174329i 0.00103896 + 0.00722615i
\(583\) −1.18503 0.347956i −0.0490789 0.0144109i
\(584\) −3.99567 + 2.56786i −0.165342 + 0.106259i
\(585\) 6.54930 45.5514i 0.270780 1.88332i
\(586\) 0.895217 1.96025i 0.0369811 0.0809772i
\(587\) −0.672878 + 1.47340i −0.0277727 + 0.0608136i −0.923010 0.384776i \(-0.874279\pi\)
0.895237 + 0.445590i \(0.147006\pi\)
\(588\) 0.00209979 0.0146044i 8.65938e−5 0.000602273i
\(589\) −36.3430 + 23.3563i −1.49749 + 0.962378i
\(590\) −20.2733 5.95277i −0.834637 0.245072i
\(591\) −0.0309323 0.215139i −0.00127238 0.00884962i
\(592\) 2.85366 + 3.29330i 0.117285 + 0.135354i
\(593\) −6.11927 3.93262i −0.251288 0.161493i 0.408933 0.912565i \(-0.365901\pi\)
−0.660221 + 0.751071i \(0.729537\pi\)
\(594\) 0.0229332 0.0264664i 0.000940962 0.00108593i
\(595\) 30.6205 8.99099i 1.25532 0.368595i
\(596\) 4.25362 + 9.31413i 0.174235 + 0.381522i
\(597\) 0.247773 0.0101407
\(598\) 2.53353 17.4763i 0.103604 0.714661i
\(599\) 6.90069 0.281954 0.140977 0.990013i \(-0.454976\pi\)
0.140977 + 0.990013i \(0.454976\pi\)
\(600\) −0.0757464 0.165862i −0.00309233 0.00677127i
\(601\) −11.7833 + 3.45990i −0.480652 + 0.141132i −0.513078 0.858342i \(-0.671495\pi\)
0.0324259 + 0.999474i \(0.489677\pi\)
\(602\) −2.58756 + 2.98620i −0.105461 + 0.121708i
\(603\) 33.3834 + 21.4542i 1.35948 + 0.873683i
\(604\) 10.9187 + 12.6009i 0.444276 + 0.512721i
\(605\) −6.42942 44.7176i −0.261393 1.81803i
\(606\) −0.152220 0.0446959i −0.00618353 0.00181565i
\(607\) 13.6815 8.79258i 0.555316 0.356880i −0.232687 0.972552i \(-0.574752\pi\)
0.788003 + 0.615672i \(0.211115\pi\)
\(608\) −0.882882 + 6.14058i −0.0358056 + 0.249033i
\(609\) −0.00202905 + 0.00444299i −8.22211e−5 + 0.000180039i
\(610\) −10.7929 + 23.6331i −0.436990 + 0.956875i
\(611\) −2.20781 + 15.3557i −0.0893186 + 0.621224i
\(612\) −19.3301 + 12.4227i −0.781374 + 0.502159i
\(613\) 30.1284 + 8.84650i 1.21687 + 0.357307i 0.826282 0.563257i \(-0.190452\pi\)
0.390593 + 0.920564i \(0.372270\pi\)
\(614\) 1.14744 + 7.98064i 0.0463070 + 0.322073i
\(615\) −0.151227 0.174525i −0.00609805 0.00703752i
\(616\) −0.332799 0.213877i −0.0134089 0.00861735i
\(617\) −0.302504 + 0.349109i −0.0121784 + 0.0140546i −0.761806 0.647805i \(-0.775687\pi\)
0.749628 + 0.661860i \(0.230233\pi\)
\(618\) 0.222019 0.0651906i 0.00893091 0.00262235i
\(619\) −8.66879 18.9820i −0.348428 0.762951i −0.999991 0.00435586i \(-0.998613\pi\)
0.651563 0.758595i \(-0.274114\pi\)
\(620\) 29.0131 1.16519
\(621\) 0.175912 + 0.386386i 0.00705911 + 0.0155051i
\(622\) −13.4346 −0.538677
\(623\) 3.39713 + 7.43867i 0.136103 + 0.298024i
\(624\) −0.0521279 + 0.0153061i −0.00208679 + 0.000612735i
\(625\) −43.1774 + 49.8294i −1.72710 + 1.99317i
\(626\) 17.1169 + 11.0004i 0.684130 + 0.439664i
\(627\) −0.0237128 0.0273660i −0.000946997 0.00109289i
\(628\) 0.629429 + 4.37778i 0.0251170 + 0.174692i
\(629\) 32.0268 + 9.40392i 1.27699 + 0.374959i
\(630\) 10.5140 6.75695i 0.418889 0.269203i
\(631\) 5.88595 40.9377i 0.234316 1.62970i −0.444770 0.895645i \(-0.646715\pi\)
0.679086 0.734058i \(-0.262376\pi\)
\(632\) −0.694569 + 1.52089i −0.0276285 + 0.0604979i
\(633\) −0.0526934 + 0.115383i −0.00209438 + 0.00458604i
\(634\) −0.595398 + 4.14108i −0.0236463 + 0.164463i
\(635\) 43.5304 27.9753i 1.72745 1.11016i
\(636\) −0.0441977 0.0129776i −0.00175255 0.000514596i
\(637\) 0.524026 + 3.64468i 0.0207627 + 0.144408i
\(638\) 0.0857608 + 0.0989732i 0.00339530 + 0.00391839i
\(639\) 6.71142 + 4.31317i 0.265500 + 0.170626i
\(640\) 2.72836 3.14869i 0.107848 0.124463i
\(641\) −17.9344 + 5.26601i −0.708365 + 0.207995i −0.616018 0.787732i \(-0.711255\pi\)
−0.0923472 + 0.995727i \(0.529437\pi\)
\(642\) 0.0251924 + 0.0551636i 0.000994264 + 0.00217713i
\(643\) 35.2690 1.39087 0.695436 0.718588i \(-0.255211\pi\)
0.695436 + 0.718588i \(0.255211\pi\)
\(644\) 4.03753 2.58811i 0.159101 0.101986i
\(645\) 0.242895 0.00956398
\(646\) 19.7403 + 43.2252i 0.776670 + 1.70067i
\(647\) 16.4685 4.83560i 0.647445 0.190107i 0.0585094 0.998287i \(-0.481365\pi\)
0.588936 + 0.808180i \(0.299547\pi\)
\(648\) −5.89246 + 6.80027i −0.231478 + 0.267140i
\(649\) 1.68776 + 1.08466i 0.0662506 + 0.0425766i
\(650\) 29.7993 + 34.3902i 1.16883 + 1.34890i
\(651\) −0.0146224 0.101701i −0.000573096 0.00398597i
\(652\) 7.28160 + 2.13807i 0.285170 + 0.0837333i
\(653\) 13.5754 8.72440i 0.531247 0.341412i −0.247360 0.968924i \(-0.579563\pi\)
0.778607 + 0.627512i \(0.215927\pi\)
\(654\) −0.0167766 + 0.116684i −0.000656016 + 0.00456269i
\(655\) −39.0037 + 85.4062i −1.52400 + 3.33710i
\(656\) 1.56057 3.41718i 0.0609301 0.133418i
\(657\) −2.02769 + 14.1029i −0.0791078 + 0.550207i
\(658\) −3.54435 + 2.27781i −0.138173 + 0.0887984i
\(659\) −23.9721 7.03884i −0.933820 0.274194i −0.220785 0.975323i \(-0.570862\pi\)
−0.713035 + 0.701128i \(0.752680\pi\)
\(660\) 0.00346085 + 0.0240708i 0.000134713 + 0.000936953i
\(661\) −10.8159 12.4823i −0.420691 0.485504i 0.505356 0.862911i \(-0.331361\pi\)
−0.926047 + 0.377407i \(0.876816\pi\)
\(662\) 20.7631 + 13.3437i 0.806982 + 0.518616i
\(663\) −0.272518 + 0.314503i −0.0105837 + 0.0122143i
\(664\) −3.83428 + 1.12584i −0.148799 + 0.0436913i
\(665\) −10.7371 23.5110i −0.416367 0.911716i
\(666\) 13.0720 0.506531
\(667\) −1.52384 + 0.445509i −0.0590032 + 0.0172502i
\(668\) −4.02956 −0.155908
\(669\) −0.151042 0.330736i −0.00583963 0.0127870i
\(670\) −52.8820 + 15.5276i −2.04301 + 0.599882i
\(671\) 1.61550 1.86438i 0.0623656 0.0719738i
\(672\) −0.0124123 0.00797690i −0.000478815 0.000307716i
\(673\) 10.0433 + 11.5906i 0.387142 + 0.446786i 0.915550 0.402205i \(-0.131756\pi\)
−0.528408 + 0.848991i \(0.677211\pi\)
\(674\) 4.65766 + 32.3947i 0.179406 + 1.24780i
\(675\) −1.04968 0.308214i −0.0404022 0.0118632i
\(676\) 0.469680 0.301845i 0.0180646 0.0116094i
\(677\) 5.61770 39.0720i 0.215906 1.50166i −0.537030 0.843563i \(-0.680454\pi\)
0.752936 0.658094i \(-0.228637\pi\)
\(678\) 0.0979383 0.214455i 0.00376130 0.00823609i
\(679\) 4.95870 10.8580i 0.190298 0.416694i
\(680\) 4.54172 31.5884i 0.174167 1.21136i
\(681\) −0.161166 + 0.103575i −0.00617591 + 0.00396901i
\(682\) −2.64325 0.776129i −0.101215 0.0297195i
\(683\) 5.86810 + 40.8136i 0.224537 + 1.56169i 0.720569 + 0.693383i \(0.243881\pi\)
−0.496032 + 0.868304i \(0.665210\pi\)
\(684\) 12.1868 + 14.0644i 0.465976 + 0.537764i
\(685\) 5.29601 + 3.40354i 0.202350 + 0.130043i
\(686\) −0.654861 + 0.755750i −0.0250027 + 0.0288547i
\(687\) −0.407364 + 0.119613i −0.0155419 + 0.00456351i
\(688\) 1.64143 + 3.59424i 0.0625791 + 0.137029i
\(689\) 11.4957 0.437951
\(690\) −0.282771 0.0833874i −0.0107649 0.00317450i
\(691\) −8.82128 −0.335577 −0.167789 0.985823i \(-0.553663\pi\)
−0.167789 + 0.985823i \(0.553663\pi\)
\(692\) −5.77236 12.6397i −0.219432 0.480490i
\(693\) −1.13864 + 0.334335i −0.0432534 + 0.0127003i
\(694\) 4.47388 5.16314i 0.169826 0.195990i
\(695\) 75.5267 + 48.5381i 2.86489 + 1.84115i
\(696\) 0.00319859 + 0.00369137i 0.000121242 + 0.000139921i
\(697\) −4.09515 28.4824i −0.155115 1.07885i
\(698\) −1.22220 0.358871i −0.0462611 0.0135835i
\(699\) 0.0245069 0.0157496i 0.000926934 0.000595705i
\(700\) −1.75875 + 12.2324i −0.0664746 + 0.462341i
\(701\) −15.3050 + 33.5132i −0.578061 + 1.26578i 0.364332 + 0.931269i \(0.381297\pi\)
−0.942393 + 0.334508i \(0.891430\pi\)
\(702\) −0.135408 + 0.296503i −0.00511066 + 0.0111908i
\(703\) 3.84730 26.7586i 0.145104 1.00922i
\(704\) −0.332799 + 0.213877i −0.0125428 + 0.00806079i
\(705\) 0.248501 + 0.0729666i 0.00935910 + 0.00274808i
\(706\) −4.67711 32.5300i −0.176025 1.22428i
\(707\) 7.04133 + 8.12612i 0.264816 + 0.305614i
\(708\) 0.0629480 + 0.0404542i 0.00236573 + 0.00152036i
\(709\) 21.0514 24.2946i 0.790601 0.912402i −0.207226 0.978293i \(-0.566443\pi\)
0.997827 + 0.0658909i \(0.0209889\pi\)
\(710\) −10.6314 + 3.12167i −0.398990 + 0.117154i
\(711\) 2.08356 + 4.56235i 0.0781394 + 0.171102i
\(712\) 8.17767 0.306471
\(713\) 21.8997 25.2141i 0.820151 0.944277i
\(714\) −0.113017 −0.00422955
\(715\) −2.52111 5.52047i −0.0942843 0.206454i
\(716\) 7.86870 2.31046i 0.294067 0.0863459i
\(717\) 0.119612 0.138039i 0.00446698 0.00515517i
\(718\) 24.1062 + 15.4921i 0.899637 + 0.578162i
\(719\) 0.622614 + 0.718534i 0.0232196 + 0.0267968i 0.767241 0.641359i \(-0.221629\pi\)
−0.744021 + 0.668156i \(0.767084\pi\)
\(720\) −1.77866 12.3708i −0.0662866 0.461033i
\(721\) −15.0475 4.41835i −0.560398 0.164548i
\(722\) 16.3928 10.5350i 0.610078 0.392073i
\(723\) −0.0232340 + 0.161596i −0.000864083 + 0.00600983i
\(724\) −6.09162 + 13.3388i −0.226393 + 0.495732i
\(725\) 1.69950 3.72139i 0.0631179 0.138209i
\(726\) −0.0227691 + 0.158362i −0.000845039 + 0.00587738i
\(727\) 18.9497 12.1783i 0.702807 0.451666i −0.139811 0.990178i \(-0.544650\pi\)
0.842618 + 0.538512i \(0.181013\pi\)
\(728\) 3.53301 + 1.03738i 0.130942 + 0.0384480i
\(729\) 3.84083 + 26.7135i 0.142253 + 0.989391i
\(730\) −12.9588 14.9552i −0.479625 0.553517i
\(731\) 25.4616 + 16.3632i 0.941733 + 0.605215i
\(732\) 0.0602527 0.0695354i 0.00222701 0.00257010i
\(733\) 14.2302 4.17837i 0.525606 0.154332i −0.00815598 0.999967i \(-0.502596\pi\)
0.533762 + 0.845635i \(0.320778\pi\)
\(734\) −7.89140 17.2798i −0.291277 0.637807i
\(735\) 0.0614720 0.00226743
\(736\) −0.676980 4.74781i −0.0249538 0.175007i
\(737\) 5.23322 0.192768
\(738\) −4.68138 10.2508i −0.172324 0.377337i
\(739\) 8.59412 2.52346i 0.316140 0.0928270i −0.119813 0.992796i \(-0.538230\pi\)
0.435953 + 0.899969i \(0.356411\pi\)
\(740\) −11.8893 + 13.7209i −0.437058 + 0.504391i
\(741\) 0.283536 + 0.182217i 0.0104159 + 0.00669392i
\(742\) 2.04447 + 2.35945i 0.0750550 + 0.0866181i
\(743\) −3.96119 27.5507i −0.145322 1.01074i −0.923748 0.383000i \(-0.874891\pi\)
0.778426 0.627736i \(-0.216018\pi\)
\(744\) −0.0985846 0.0289471i −0.00361429 0.00106125i
\(745\) −35.8885 + 23.0642i −1.31485 + 0.845005i
\(746\) 1.03809 7.22008i 0.0380072 0.264346i
\(747\) −4.97982 + 10.9043i −0.182202 + 0.398967i
\(748\) −1.25880 + 2.75638i −0.0460262 + 0.100783i
\(749\) 0.584941 4.06835i 0.0213733 0.148654i
\(750\) 0.380518 0.244544i 0.0138945 0.00892948i
\(751\) −9.64699 2.83261i −0.352024 0.103364i 0.100940 0.994893i \(-0.467815\pi\)
−0.452964 + 0.891529i \(0.649633\pi\)
\(752\) 0.599597 + 4.17029i 0.0218651 + 0.152075i
\(753\) 0.0319540 + 0.0368769i 0.00116447 + 0.00134387i
\(754\) −1.02545 0.659016i −0.0373447 0.0240000i
\(755\) −45.4907 + 52.4991i −1.65558 + 1.91064i
\(756\) −0.0849381 + 0.0249401i −0.00308917 + 0.000907062i
\(757\) −8.72838 19.1125i −0.317238 0.694655i 0.682091 0.731267i \(-0.261071\pi\)
−0.999330 + 0.0366121i \(0.988343\pi\)
\(758\) −12.4441 −0.451991
\(759\) 0.0235313 + 0.0151615i 0.000854131 + 0.000550326i
\(760\) −25.8467 −0.937557
\(761\) 6.08615 + 13.3268i 0.220623 + 0.483097i 0.987286 0.158953i \(-0.0508117\pi\)
−0.766663 + 0.642049i \(0.778084\pi\)
\(762\) −0.175825 + 0.0516269i −0.00636947 + 0.00187024i
\(763\) 5.23211 6.03817i 0.189415 0.218597i
\(764\) −14.3194 9.20252i −0.518058 0.332935i
\(765\) −62.6916 72.3499i −2.26662 2.61582i
\(766\) −0.755944 5.25771i −0.0273134 0.189969i
\(767\) −17.9174 5.26102i −0.646959 0.189964i
\(768\) −0.0124123 + 0.00797690i −0.000447890 + 0.000287842i
\(769\) −4.35205 + 30.2692i −0.156939 + 1.09153i 0.747293 + 0.664494i \(0.231353\pi\)
−0.904232 + 0.427041i \(0.859556\pi\)
\(770\) 0.684683 1.49925i 0.0246743 0.0540291i
\(771\) −0.122886 + 0.269082i −0.00442562 + 0.00969075i
\(772\) 0.611320 4.25183i 0.0220019 0.153027i
\(773\) −31.8972 + 20.4991i −1.14726 + 0.737301i −0.969092 0.246698i \(-0.920654\pi\)
−0.178171 + 0.984000i \(0.557018\pi\)
\(774\) 11.3729 + 3.33940i 0.408792 + 0.120032i
\(775\) 12.2475 + 85.1831i 0.439942 + 3.05987i
\(776\) −7.81691 9.02119i −0.280611 0.323842i
\(777\) 0.0540886 + 0.0347606i 0.00194042 + 0.00124703i
\(778\) −3.22608 + 3.72309i −0.115660 + 0.133479i
\(779\) −22.3613 + 6.56586i −0.801175 + 0.235246i
\(780\) −0.0940292 0.205895i −0.00336678 0.00737223i
\(781\) 1.05209 0.0376467
\(782\) −24.0240 27.7906i −0.859097 0.993791i
\(783\) 0.0293053 0.00104728
\(784\) 0.415415 + 0.909632i 0.0148363 + 0.0324869i
\(785\) −17.6803 + 5.19142i −0.631038 + 0.185290i
\(786\) 0.217744 0.251290i 0.00776667 0.00896321i
\(787\) −19.6267 12.6133i −0.699617 0.449617i 0.141876 0.989884i \(-0.454687\pi\)
−0.841493 + 0.540268i \(0.818323\pi\)
\(788\) 9.64684 + 11.1330i 0.343654 + 0.396598i
\(789\) 0.0330042 + 0.229549i 0.00117498 + 0.00817216i
\(790\) −6.68386 1.96256i −0.237801 0.0698246i
\(791\) −13.4422 + 8.63880i −0.477951 + 0.307161i
\(792\) −0.168887 + 1.17463i −0.00600112 + 0.0417387i
\(793\) −9.53866 + 20.8868i −0.338728 + 0.741710i
\(794\) 3.72008 8.14584i 0.132021 0.289085i
\(795\) 0.0273124 0.189962i 0.000968672 0.00673726i
\(796\) −14.1272 + 9.07898i −0.500724 + 0.321796i
\(797\) 17.2619 + 5.06857i 0.611450 + 0.179538i 0.572773 0.819714i \(-0.305868\pi\)
0.0386765 + 0.999252i \(0.487686\pi\)
\(798\) 0.0130265 + 0.0906014i 0.000461134 + 0.00320725i
\(799\) 21.1338 + 24.3897i 0.747658 + 0.862844i
\(800\) 10.3964 + 6.68134i 0.367567 + 0.236221i
\(801\) 16.0645 18.5395i 0.567612 0.655060i
\(802\) −4.58603 + 1.34658i −0.161938 + 0.0475494i
\(803\) 0.780548 + 1.70916i 0.0275449 + 0.0603150i
\(804\) 0.195182 0.00688353
\(805\) 13.0671 + 15.1158i 0.460555 + 0.532763i
\(806\) 25.6416 0.903186
\(807\) 0.0959102 + 0.210014i 0.00337620 + 0.00739285i
\(808\) 10.3169 3.02930i 0.362946 0.106570i
\(809\) 0.805280 0.929343i 0.0283121 0.0326739i −0.741417 0.671045i \(-0.765846\pi\)
0.769729 + 0.638371i \(0.220391\pi\)
\(810\) −31.5375 20.2679i −1.10811 0.712142i
\(811\) −18.8486 21.7524i −0.661863 0.763831i 0.321217 0.947006i \(-0.395908\pi\)
−0.983080 + 0.183175i \(0.941363\pi\)
\(812\) −0.0471123 0.327674i −0.00165332 0.0114991i
\(813\) −0.0378583 0.0111162i −0.00132775 0.000389862i
\(814\) 1.45023 0.932003i 0.0508304 0.0326667i
\(815\) −4.49974 + 31.2964i −0.157619 + 1.09626i
\(816\) −0.0469490 + 0.102804i −0.00164354 + 0.00359886i
\(817\) 10.1830 22.2977i 0.356258 0.780097i
\(818\) 4.60781 32.0480i 0.161108 1.12053i
\(819\) 9.29222 5.97175i 0.324696 0.208670i
\(820\) 15.0174 + 4.40952i 0.524432 + 0.153987i
\(821\) −0.944653 6.57021i −0.0329686 0.229302i 0.966675 0.256008i \(-0.0824073\pi\)
−0.999643 + 0.0267061i \(0.991498\pi\)
\(822\) −0.0145997 0.0168490i −0.000509223 0.000587675i
\(823\) −7.90771 5.08198i −0.275646 0.177147i 0.395513 0.918460i \(-0.370567\pi\)
−0.671159 + 0.741314i \(0.734203\pi\)
\(824\) −10.2700 + 11.8522i −0.357773 + 0.412892i
\(825\) −0.0692113 + 0.0203223i −0.00240963 + 0.000707531i
\(826\) −2.10674 4.61313i −0.0733030 0.160511i
\(827\) −27.0794 −0.941643 −0.470821 0.882229i \(-0.656042\pi\)
−0.470821 + 0.882229i \(0.656042\pi\)
\(828\) −12.0936 7.79202i −0.420281 0.270791i
\(829\) −19.4994 −0.677242 −0.338621 0.940923i \(-0.609960\pi\)
−0.338621 + 0.940923i \(0.609960\pi\)
\(830\) −6.91633 15.1447i −0.240069 0.525679i
\(831\) −0.0962368 + 0.0282577i −0.00333842 + 0.000980248i
\(832\) 2.41130 2.78279i 0.0835969 0.0964759i
\(833\) 6.44385 + 4.14121i 0.223266 + 0.143484i
\(834\) −0.208207 0.240284i −0.00720963 0.00832036i
\(835\) −2.38924 16.6175i −0.0826830 0.575073i
\(836\) 2.35478 + 0.691425i 0.0814416 + 0.0239134i
\(837\) −0.518597 + 0.333282i −0.0179253 + 0.0115199i
\(838\) −0.110797 + 0.770609i −0.00382741 + 0.0266202i
\(839\) 17.5635 38.4587i 0.606359 1.32774i −0.318677 0.947863i \(-0.603239\pi\)
0.925036 0.379878i \(-0.124034\pi\)
\(840\) 0.0255364 0.0559169i 0.000881090 0.00192932i
\(841\) 4.11153 28.5963i 0.141777 0.986081i
\(842\) 25.9446 16.6736i 0.894110 0.574609i
\(843\) −0.214308 0.0629264i −0.00738115 0.00216730i
\(844\) −1.22349 8.50954i −0.0421141 0.292910i
\(845\) 1.52327 + 1.75795i 0.0524020 + 0.0604752i
\(846\) 10.6323 + 6.83295i 0.365545 + 0.234922i
\(847\) 7.10098 8.19497i 0.243993 0.281583i
\(848\) 2.99553 0.879568i 0.102867 0.0302045i
\(849\) 0.134756 + 0.295075i 0.00462483 + 0.0101270i
\(850\) 94.6614 3.24686
\(851\) 2.95005 + 20.6893i 0.101126 + 0.709222i
\(852\) 0.0392395 0.00134432
\(853\) 11.1576 + 24.4318i 0.382030 + 0.836528i 0.998781 + 0.0493699i \(0.0157213\pi\)
−0.616751 + 0.787158i \(0.711551\pi\)
\(854\) −5.98335 + 1.75687i −0.204746 + 0.0601188i
\(855\) −50.7742 + 58.5966i −1.73644 + 2.00396i
\(856\) −3.45771 2.22214i −0.118182 0.0759510i
\(857\) 16.5754 + 19.1290i 0.566205 + 0.653435i 0.964581 0.263787i \(-0.0849716\pi\)
−0.398376 + 0.917222i \(0.630426\pi\)
\(858\) 0.00305868 + 0.0212736i 0.000104422 + 0.000726268i
\(859\) 27.1213 + 7.96353i 0.925367 + 0.271712i 0.709496 0.704710i \(-0.248923\pi\)
0.215871 + 0.976422i \(0.430741\pi\)
\(860\) −13.8491 + 8.90025i −0.472249 + 0.303496i
\(861\) 0.00788819 0.0548636i 0.000268829 0.00186975i
\(862\) 10.1402 22.2038i 0.345375 0.756266i
\(863\) −6.82917 + 14.9538i −0.232468 + 0.509033i −0.989533 0.144306i \(-0.953905\pi\)
0.757066 + 0.653339i \(0.226632\pi\)
\(864\) −0.0125983 + 0.0876229i −0.000428602 + 0.00298099i
\(865\) 48.7024 31.2991i 1.65593 1.06420i
\(866\) −24.4520 7.17976i −0.830913 0.243978i
\(867\) 0.0875040 + 0.608604i 0.00297179 + 0.0206693i
\(868\) 4.56027 + 5.26284i 0.154786 + 0.178632i
\(869\) 0.556436 + 0.357600i 0.0188758 + 0.0121307i
\(870\) −0.0133263 + 0.0153794i −0.000451805 + 0.000521411i
\(871\) −46.7367 + 13.7231i −1.58361 + 0.464991i
\(872\) −3.31902 7.26764i −0.112396 0.246113i
\(873\) −35.8076 −1.21191
\(874\) −19.5096 + 22.4623i −0.659924 + 0.759800i
\(875\) −30.6565 −1.03638
\(876\) 0.0291119 + 0.0637461i 0.000983598 + 0.00215378i
\(877\) −28.0979 + 8.25027i −0.948797 + 0.278592i −0.719286 0.694714i \(-0.755531\pi\)
−0.229511 + 0.973306i \(0.573713\pi\)
\(878\) −7.00979 + 8.08973i −0.236569 + 0.273015i
\(879\) −0.0267484 0.0171902i −0.000902202 0.000579810i
\(880\) −1.07934 1.24562i −0.0363844 0.0419898i
\(881\) −3.56857 24.8199i −0.120228 0.836204i −0.957297 0.289107i \(-0.906642\pi\)
0.837069 0.547098i \(-0.184267\pi\)
\(882\) 2.87827 + 0.845136i 0.0969164 + 0.0284572i
\(883\) 32.1058 20.6331i 1.08045 0.694360i 0.125785 0.992058i \(-0.459855\pi\)
0.954660 + 0.297698i \(0.0962187\pi\)
\(884\) 4.01394 27.9176i 0.135004 0.938970i
\(885\) −0.129506 + 0.283578i −0.00435329 + 0.00953238i
\(886\) −4.68990 + 10.2695i −0.157560 + 0.345009i
\(887\) 1.95447 13.5936i 0.0656246 0.456429i −0.930341 0.366695i \(-0.880489\pi\)
0.995966 0.0897339i \(-0.0286016\pi\)
\(888\) 0.0540886 0.0347606i 0.00181509 0.00116649i
\(889\) 11.9167 + 3.49905i 0.399672 + 0.117354i
\(890\) 4.84877 + 33.7239i 0.162531 + 1.13043i
\(891\) 2.33105 + 2.69018i 0.0780932 + 0.0901244i
\(892\) 20.7309 + 13.3229i 0.694121 + 0.446084i
\(893\) 17.1163 19.7533i 0.572776 0.661019i
\(894\) 0.144959 0.0425637i 0.00484814 0.00142354i
\(895\) 14.1937 + 31.0799i 0.474443 + 1.03889i
\(896\) 1.00000 0.0334077
\(897\) −0.249911 0.0736972i −0.00834428 0.00246068i
\(898\) −25.7186 −0.858240
\(899\) −0.957654 2.09697i −0.0319395 0.0699379i
\(900\) 35.5702 10.4443i 1.18567 0.348145i
\(901\) 15.6603 18.0729i 0.521720 0.602097i
\(902\) −1.25021 0.803463i −0.0416275 0.0267524i
\(903\) 0.0381782 + 0.0440600i 0.00127049 + 0.00146623i
\(904\) 2.27402 + 15.8162i 0.0756329 + 0.526038i
\(905\) −58.6199 17.2123i −1.94859 0.572158i
\(906\) 0.206954 0.133001i 0.00687560 0.00441868i
\(907\) 6.65031 46.2540i 0.220820 1.53584i −0.514128 0.857714i \(-0.671884\pi\)
0.734948 0.678124i \(-0.237207\pi\)
\(908\) 5.39391 11.8110i 0.179003 0.391963i
\(909\) 13.3992 29.3401i 0.444422 0.973148i
\(910\) −2.18326 + 15.1849i −0.0723743 + 0.503374i
\(911\) 22.9361 14.7401i 0.759907 0.488363i −0.102403 0.994743i \(-0.532653\pi\)
0.862310 + 0.506380i \(0.169017\pi\)
\(912\) 0.0878253 + 0.0257878i 0.00290819 + 0.000853921i
\(913\) 0.224982 + 1.56478i 0.00744580 + 0.0517867i
\(914\) 6.55568 + 7.56566i 0.216843 + 0.250250i
\(915\) 0.322483 + 0.207247i 0.0106610 + 0.00685138i
\(916\) 18.8436 21.7467i 0.622610 0.718530i
\(917\) −21.6229 + 6.34905i −0.714050 + 0.209664i
\(918\) 0.281684 + 0.616801i 0.00929694 + 0.0203575i
\(919\) 45.7818 1.51020 0.755102 0.655608i \(-0.227588\pi\)
0.755102 + 0.655608i \(0.227588\pi\)
\(920\) 19.1781 5.60691i 0.632284 0.184854i
\(921\) 0.118962 0.00391992
\(922\) 3.24500 + 7.10556i 0.106868 + 0.234009i
\(923\) −9.39598 + 2.75891i −0.309272 + 0.0908106i
\(924\) −0.00382234 + 0.00441122i −0.000125746 + 0.000145118i
\(925\) −45.3038 29.1150i −1.48958 0.957295i
\(926\) 24.9187 + 28.7577i 0.818878 + 0.945035i
\(927\) 6.69518 + 46.5660i 0.219899 + 1.52943i
\(928\) −0.317634 0.0932656i −0.0104268 0.00306159i
\(929\) 1.21847 0.783064i 0.0399767 0.0256915i −0.520500 0.853862i \(-0.674254\pi\)
0.560477 + 0.828170i \(0.310618\pi\)
\(930\) 0.0609214 0.423717i 0.00199769 0.0138942i
\(931\) 2.57712 5.64311i 0.0844617 0.184945i
\(932\) −0.820195 + 1.79598i −0.0268664 + 0.0588292i
\(933\) −0.0282098 + 0.196203i −0.000923546 + 0.00642341i
\(934\) −12.2716 + 7.88647i −0.401539 + 0.258053i
\(935\) −12.1134 3.55683i −0.396152 0.116321i
\(936\) −1.57196 10.9333i −0.0513813 0.357365i
\(937\) −4.07246 4.69987i −0.133042 0.153538i 0.685320 0.728242i \(-0.259663\pi\)
−0.818361 + 0.574704i \(0.805117\pi\)
\(938\) −11.1286 7.15192i −0.363362 0.233518i
\(939\) 0.196595 0.226883i 0.00641565 0.00740405i
\(940\) −16.8424 + 4.94537i −0.549338 + 0.161300i
\(941\) 22.2106 + 48.6345i 0.724045 + 1.58544i 0.808147 + 0.588981i \(0.200471\pi\)
−0.0841017 + 0.996457i \(0.526802\pi\)
\(942\) 0.0652563 0.00212616
\(943\) 15.1676 9.72266i 0.493926 0.316613i
\(944\) −5.07142 −0.165061
\(945\) −0.153213 0.335489i −0.00498401 0.0109135i
\(946\) 1.49982 0.440386i 0.0487633 0.0143182i
\(947\) 26.9009 31.0453i 0.874162 1.00884i −0.125697 0.992069i \(-0.540117\pi\)
0.999859 0.0167684i \(-0.00533780\pi\)
\(948\) 0.0207532 + 0.0133373i 0.000674033 + 0.000433175i
\(949\) −11.4529 13.2173i −0.371776 0.429052i
\(950\) −10.9108 75.8864i −0.353994 2.46208i
\(951\) 0.0592276 + 0.0173908i 0.00192059 + 0.000563935i
\(952\) 6.44385 4.14121i 0.208846 0.134217i
\(953\) −6.55745 + 45.6080i −0.212416 + 1.47739i 0.552637 + 0.833422i \(0.313622\pi\)
−0.765053 + 0.643967i \(0.777287\pi\)
\(954\) 3.89049 8.51899i 0.125959 0.275812i
\(955\) 29.4600 64.5083i 0.953302 2.08744i
\(956\) −1.76177 + 12.2534i −0.0569797 + 0.396303i
\(957\) 0.00162552 0.00104466i 5.25456e−5 3.37690e-5i
\(958\) −16.2399 4.76848i −0.524689 0.154063i
\(959\) 0.215040 + 1.49564i 0.00694401 + 0.0482967i
\(960\) −0.0402556 0.0464575i −0.00129924 0.00149941i
\(961\) 14.7165 + 9.45772i 0.474726 + 0.305088i
\(962\) −10.5076 + 12.1265i −0.338780 + 0.390973i
\(963\) −11.8302 + 3.47367i −0.381224 + 0.111937i
\(964\) −4.59654 10.0650i −0.148045 0.324173i
\(965\) 17.8966 0.576112
\(966\) −0.0293198 0.0644000i −0.000943348 0.00207204i
\(967\) −25.6216 −0.823934 −0.411967 0.911199i \(-0.635158\pi\)
−0.411967 + 0.911199i \(0.635158\pi\)
\(968\) −4.50455 9.86360i −0.144782 0.317028i
\(969\) 0.672726 0.197530i 0.0216111 0.00634558i
\(970\) 32.5677 37.5851i 1.04569 1.20679i
\(971\) −11.5661 7.43307i −0.371173 0.238539i 0.341734 0.939797i \(-0.388986\pi\)
−0.712908 + 0.701258i \(0.752622\pi\)
\(972\) 0.260853 + 0.301041i 0.00836687 + 0.00965588i
\(973\) 3.06670 + 21.3294i 0.0983140 + 0.683789i
\(974\) −16.1278 4.73554i −0.516767 0.151736i
\(975\) 0.564819 0.362987i 0.0180887 0.0116249i
\(976\) −0.887468 + 6.17247i −0.0284071 + 0.197576i
\(977\) 15.7472 34.4815i 0.503796 1.10316i −0.471421 0.881908i \(-0.656259\pi\)
0.975217 0.221251i \(-0.0710141\pi\)
\(978\) 0.0465150 0.101854i 0.00148738 0.00325692i
\(979\) 0.460400 3.20215i 0.0147144 0.102341i
\(980\) −3.50493 + 2.25248i −0.111961 + 0.0719528i
\(981\) −22.9964 6.75234i −0.734217 0.215586i
\(982\) 3.40692 + 23.6957i 0.108719 + 0.756159i
\(983\) −24.6182 28.4109i −0.785198 0.906167i 0.212275 0.977210i \(-0.431913\pi\)
−0.997473 + 0.0710433i \(0.977367\pi\)
\(984\) −0.0466288 0.0299665i −0.00148647 0.000955297i
\(985\) −40.1918 + 46.3838i −1.28062 + 1.47791i
\(986\) −2.43301 + 0.714397i −0.0774830 + 0.0227510i
\(987\) 0.0258236 + 0.0565458i 0.000821975 + 0.00179987i
\(988\) −22.8431 −0.726736
\(989\) −2.71872 + 18.7538i −0.0864503 + 0.596336i
\(990\) −4.94421 −0.157137
\(991\) −15.7288 34.4414i −0.499643 1.09407i −0.976585 0.215131i \(-0.930982\pi\)
0.476942 0.878935i \(-0.341745\pi\)
\(992\) 6.68165 1.96191i 0.212143 0.0622907i
\(993\) 0.238474 0.275213i 0.00756773 0.00873363i
\(994\) −2.23730 1.43783i −0.0709629 0.0456051i
\(995\) −45.8173 52.8759i −1.45250 1.67628i
\(996\) 0.00839107 + 0.0583611i 0.000265881 + 0.00184924i
\(997\) 20.8133 + 6.11135i 0.659165 + 0.193548i 0.594173 0.804337i \(-0.297480\pi\)
0.0649924 + 0.997886i \(0.479298\pi\)
\(998\) 10.7594 6.91467i 0.340584 0.218880i
\(999\) 0.0548990 0.381831i 0.00173693 0.0120806i
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 322.2.i.c.211.1 yes 20
23.6 even 11 inner 322.2.i.c.29.1 20
23.11 odd 22 7406.2.a.bo.1.7 10
23.12 even 11 7406.2.a.bp.1.7 10
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
322.2.i.c.29.1 20 23.6 even 11 inner
322.2.i.c.211.1 yes 20 1.1 even 1 trivial
7406.2.a.bo.1.7 10 23.11 odd 22
7406.2.a.bp.1.7 10 23.12 even 11