Properties

Label 930.2.bj.b.277.16
Level $930$
Weight $2$
Character 930.277
Analytic conductor $7.426$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 277.16
Character \(\chi\) \(=\) 930.277
Dual form 930.2.bj.b.883.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(2.23590 + 0.0275636i) q^{5} +1.00000i q^{6} +(-1.08401 + 2.12750i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(2.23590 + 0.0275636i) q^{5} +1.00000i q^{6} +(-1.08401 + 2.12750i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(0.322547 + 2.21268i) q^{10} +(-0.981466 + 0.318898i) q^{11} +(-0.987688 + 0.156434i) q^{12} +(4.35334 + 0.689501i) q^{13} +(-2.27088 - 0.737855i) q^{14} +(2.20406 + 0.376996i) q^{15} +(0.809017 - 0.587785i) q^{16} +(0.684561 + 1.34353i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(-0.963880 + 1.32667i) q^{19} +(-2.13498 + 0.664716i) q^{20} +(-1.40348 + 1.93173i) q^{21} +(-0.468506 - 0.919496i) q^{22} +(-1.89674 + 0.966437i) q^{23} +(-0.309017 - 0.951057i) q^{24} +(4.99848 + 0.123259i) q^{25} +4.40760i q^{26} +(0.891007 + 0.453990i) q^{27} +(0.373526 - 2.35835i) q^{28} +(2.01977 + 1.46745i) q^{29} +(-0.0275636 + 2.23590i) q^{30} +(-5.56081 - 0.278148i) q^{31} +(0.707107 + 0.707107i) q^{32} +(-1.01927 + 0.161436i) q^{33} +(-1.21990 + 0.886307i) q^{34} +(-2.48239 + 4.72699i) q^{35} -1.00000 q^{36} +(-0.746708 + 0.746708i) q^{37} +(-1.46112 - 0.744476i) q^{38} +(4.19188 + 1.36202i) q^{39} +(-0.990517 - 2.00471i) q^{40} +(0.672873 + 0.488870i) q^{41} +(-2.12750 - 1.08401i) q^{42} +(-0.301374 - 1.90280i) q^{43} +(0.834885 - 0.606579i) q^{44} +(2.11795 + 0.717145i) q^{45} +(-1.25125 - 1.72220i) q^{46} +(4.38967 + 0.695255i) q^{47} +(0.891007 - 0.453990i) q^{48} +(0.763333 + 1.05064i) q^{49} +(0.660193 + 4.95622i) q^{50} +(0.465959 + 1.43408i) q^{51} +(-4.35334 + 0.689501i) q^{52} +(3.72515 - 1.89806i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(-2.20325 + 0.685970i) q^{55} +2.38775 q^{56} +(-1.15955 + 1.15955i) q^{57} +(-1.13342 + 2.22447i) q^{58} +(-1.13222 - 1.55837i) q^{59} +(-2.21268 + 0.322547i) q^{60} +2.84599i q^{61} +(-0.595179 - 5.53586i) q^{62} +(-1.68839 + 1.68839i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(9.71462 + 1.66165i) q^{65} +(-0.318898 - 0.981466i) q^{66} +(-4.10191 - 4.10191i) q^{67} +(-1.06623 - 1.06623i) q^{68} +(-2.02457 + 0.657823i) q^{69} +(-5.05713 - 1.71236i) q^{70} +(1.45791 - 4.48698i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(1.03169 - 2.02481i) q^{73} +(-0.854325 - 0.620704i) q^{74} +(4.91766 + 0.903676i) q^{75} +(0.506742 - 1.55959i) q^{76} +(0.385469 - 2.43376i) q^{77} +(-0.689501 + 4.35334i) q^{78} +(-0.892173 + 2.74582i) q^{79} +(1.82508 - 1.29193i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-0.377591 + 0.741065i) q^{82} +(-0.585876 - 3.69907i) q^{83} +(0.737855 - 2.27088i) q^{84} +(1.49358 + 3.02286i) q^{85} +(1.83223 - 0.595326i) q^{86} +(1.76535 + 1.76535i) q^{87} +(0.729716 + 0.729716i) q^{88} +(-1.82635 - 5.62093i) q^{89} +(-0.376996 + 2.20406i) q^{90} +(-6.18600 + 8.51429i) q^{91} +(1.50526 - 1.50526i) q^{92} +(-5.44884 - 1.14463i) q^{93} +4.44439i q^{94} +(-2.19170 + 2.93972i) q^{95} +(0.587785 + 0.809017i) q^{96} +(-3.62296 + 7.11045i) q^{97} +(-0.918291 + 0.918291i) q^{98} -1.03197 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{3}{10}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.156434 + 0.987688i 0.110616 + 0.698401i
\(3\) 0.987688 + 0.156434i 0.570242 + 0.0903175i
\(4\) −0.951057 + 0.309017i −0.475528 + 0.154508i
\(5\) 2.23590 + 0.0275636i 0.999924 + 0.0123268i
\(6\) 1.00000i 0.408248i
\(7\) −1.08401 + 2.12750i −0.409719 + 0.804119i −0.999995 0.00308237i \(-0.999019\pi\)
0.590276 + 0.807201i \(0.299019\pi\)
\(8\) −0.453990 0.891007i −0.160510 0.315018i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) 0.322547 + 2.21268i 0.101998 + 0.699712i
\(11\) −0.981466 + 0.318898i −0.295923 + 0.0961512i −0.453216 0.891401i \(-0.649723\pi\)
0.157293 + 0.987552i \(0.449723\pi\)
\(12\) −0.987688 + 0.156434i −0.285121 + 0.0451587i
\(13\) 4.35334 + 0.689501i 1.20740 + 0.191233i 0.727511 0.686096i \(-0.240677\pi\)
0.479888 + 0.877330i \(0.340677\pi\)
\(14\) −2.27088 0.737855i −0.606919 0.197200i
\(15\) 2.20406 + 0.376996i 0.569085 + 0.0973399i
\(16\) 0.809017 0.587785i 0.202254 0.146946i
\(17\) 0.684561 + 1.34353i 0.166031 + 0.325853i 0.958999 0.283409i \(-0.0914655\pi\)
−0.792968 + 0.609263i \(0.791466\pi\)
\(18\) −0.156434 + 0.987688i −0.0368720 + 0.232800i
\(19\) −0.963880 + 1.32667i −0.221129 + 0.304358i −0.905140 0.425114i \(-0.860234\pi\)
0.684011 + 0.729472i \(0.260234\pi\)
\(20\) −2.13498 + 0.664716i −0.477397 + 0.148635i
\(21\) −1.40348 + 1.93173i −0.306265 + 0.421538i
\(22\) −0.468506 0.919496i −0.0998859 0.196037i
\(23\) −1.89674 + 0.966437i −0.395498 + 0.201516i −0.640417 0.768027i \(-0.721238\pi\)
0.244919 + 0.969543i \(0.421238\pi\)
\(24\) −0.309017 0.951057i −0.0630778 0.194134i
\(25\) 4.99848 + 0.123259i 0.999696 + 0.0246518i
\(26\) 4.40760i 0.864402i
\(27\) 0.891007 + 0.453990i 0.171474 + 0.0873705i
\(28\) 0.373526 2.35835i 0.0705898 0.445686i
\(29\) 2.01977 + 1.46745i 0.375062 + 0.272499i 0.759307 0.650733i \(-0.225538\pi\)
−0.384245 + 0.923231i \(0.625538\pi\)
\(30\) −0.0275636 + 2.23590i −0.00503240 + 0.408217i
\(31\) −5.56081 0.278148i −0.998751 0.0499569i
\(32\) 0.707107 + 0.707107i 0.125000 + 0.125000i
\(33\) −1.01927 + 0.161436i −0.177432 + 0.0281025i
\(34\) −1.21990 + 0.886307i −0.209211 + 0.152000i
\(35\) −2.48239 + 4.72699i −0.419600 + 0.799007i
\(36\) −1.00000 −0.166667
\(37\) −0.746708 + 0.746708i −0.122758 + 0.122758i −0.765817 0.643059i \(-0.777665\pi\)
0.643059 + 0.765817i \(0.277665\pi\)
\(38\) −1.46112 0.744476i −0.237024 0.120770i
\(39\) 4.19188 + 1.36202i 0.671238 + 0.218098i
\(40\) −0.990517 2.00471i −0.156615 0.316973i
\(41\) 0.672873 + 0.488870i 0.105085 + 0.0763487i 0.639087 0.769135i \(-0.279312\pi\)
−0.534002 + 0.845483i \(0.679312\pi\)
\(42\) −2.12750 1.08401i −0.328280 0.167267i
\(43\) −0.301374 1.90280i −0.0459590 0.290174i 0.953994 0.299824i \(-0.0969281\pi\)
−0.999953 + 0.00965048i \(0.996928\pi\)
\(44\) 0.834885 0.606579i 0.125864 0.0914453i
\(45\) 2.11795 + 0.717145i 0.315725 + 0.106906i
\(46\) −1.25125 1.72220i −0.184487 0.253925i
\(47\) 4.38967 + 0.695255i 0.640299 + 0.101413i 0.468138 0.883655i \(-0.344925\pi\)
0.172161 + 0.985069i \(0.444925\pi\)
\(48\) 0.891007 0.453990i 0.128606 0.0655279i
\(49\) 0.763333 + 1.05064i 0.109048 + 0.150091i
\(50\) 0.660193 + 4.95622i 0.0933654 + 0.700916i
\(51\) 0.465959 + 1.43408i 0.0652474 + 0.200811i
\(52\) −4.35334 + 0.689501i −0.603699 + 0.0956166i
\(53\) 3.72515 1.89806i 0.511689 0.260718i −0.179028 0.983844i \(-0.557295\pi\)
0.690717 + 0.723126i \(0.257295\pi\)
\(54\) −0.309017 + 0.951057i −0.0420519 + 0.129422i
\(55\) −2.20325 + 0.685970i −0.297086 + 0.0924961i
\(56\) 2.38775 0.319076
\(57\) −1.15955 + 1.15955i −0.153586 + 0.153586i
\(58\) −1.13342 + 2.22447i −0.148826 + 0.292087i
\(59\) −1.13222 1.55837i −0.147403 0.202882i 0.728931 0.684587i \(-0.240018\pi\)
−0.876333 + 0.481705i \(0.840018\pi\)
\(60\) −2.21268 + 0.322547i −0.285656 + 0.0416407i
\(61\) 2.84599i 0.364392i 0.983262 + 0.182196i \(0.0583206\pi\)
−0.983262 + 0.182196i \(0.941679\pi\)
\(62\) −0.595179 5.53586i −0.0755878 0.703055i
\(63\) −1.68839 + 1.68839i −0.212717 + 0.212717i
\(64\) −0.587785 + 0.809017i −0.0734732 + 0.101127i
\(65\) 9.71462 + 1.66165i 1.20495 + 0.206102i
\(66\) −0.318898 0.981466i −0.0392536 0.120810i
\(67\) −4.10191 4.10191i −0.501128 0.501128i 0.410660 0.911788i \(-0.365298\pi\)
−0.911788 + 0.410660i \(0.865298\pi\)
\(68\) −1.06623 1.06623i −0.129299 0.129299i
\(69\) −2.02457 + 0.657823i −0.243730 + 0.0791926i
\(70\) −5.05713 1.71236i −0.604442 0.204666i
\(71\) 1.45791 4.48698i 0.173022 0.532507i −0.826516 0.562914i \(-0.809680\pi\)
0.999538 + 0.0304068i \(0.00968028\pi\)
\(72\) −0.156434 0.987688i −0.0184360 0.116400i
\(73\) 1.03169 2.02481i 0.120750 0.236986i −0.822717 0.568451i \(-0.807543\pi\)
0.943467 + 0.331465i \(0.107543\pi\)
\(74\) −0.854325 0.620704i −0.0993133 0.0721553i
\(75\) 4.91766 + 0.903676i 0.567842 + 0.104348i
\(76\) 0.506742 1.55959i 0.0581272 0.178897i
\(77\) 0.385469 2.43376i 0.0439283 0.277352i
\(78\) −0.689501 + 4.35334i −0.0780706 + 0.492919i
\(79\) −0.892173 + 2.74582i −0.100377 + 0.308929i −0.988618 0.150449i \(-0.951928\pi\)
0.888240 + 0.459379i \(0.151928\pi\)
\(80\) 1.82508 1.29193i 0.204050 0.144442i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) −0.377591 + 0.741065i −0.0416980 + 0.0818369i
\(83\) −0.585876 3.69907i −0.0643082 0.406026i −0.998753 0.0499188i \(-0.984104\pi\)
0.934445 0.356107i \(-0.115896\pi\)
\(84\) 0.737855 2.27088i 0.0805065 0.247774i
\(85\) 1.49358 + 3.02286i 0.162001 + 0.327875i
\(86\) 1.83223 0.595326i 0.197574 0.0641957i
\(87\) 1.76535 + 1.76535i 0.189265 + 0.189265i
\(88\) 0.729716 + 0.729716i 0.0777880 + 0.0777880i
\(89\) −1.82635 5.62093i −0.193593 0.595817i −0.999990 0.00444321i \(-0.998586\pi\)
0.806397 0.591374i \(-0.201414\pi\)
\(90\) −0.376996 + 2.20406i −0.0397388 + 0.232328i
\(91\) −6.18600 + 8.51429i −0.648469 + 0.892541i
\(92\) 1.50526 1.50526i 0.156934 0.156934i
\(93\) −5.44884 1.14463i −0.565018 0.118692i
\(94\) 4.44439i 0.458404i
\(95\) −2.19170 + 2.93972i −0.224864 + 0.301609i
\(96\) 0.587785 + 0.809017i 0.0599906 + 0.0825700i
\(97\) −3.62296 + 7.11045i −0.367855 + 0.721957i −0.998536 0.0540853i \(-0.982776\pi\)
0.630681 + 0.776042i \(0.282776\pi\)
\(98\) −0.918291 + 0.918291i −0.0927614 + 0.0927614i
\(99\) −1.03197 −0.103717
\(100\) −4.79193 + 1.42739i −0.479193 + 0.142739i
\(101\) 0.875991 2.69602i 0.0871643 0.268264i −0.897968 0.440060i \(-0.854957\pi\)
0.985133 + 0.171796i \(0.0549570\pi\)
\(102\) −1.34353 + 0.684561i −0.133029 + 0.0677817i
\(103\) −12.3870 + 1.96192i −1.22053 + 0.193313i −0.733267 0.679941i \(-0.762005\pi\)
−0.487265 + 0.873254i \(0.662005\pi\)
\(104\) −1.36202 4.19188i −0.133557 0.411048i
\(105\) −3.19129 + 4.28046i −0.311438 + 0.417730i
\(106\) 2.45743 + 3.38236i 0.238687 + 0.328524i
\(107\) 15.5411 7.91860i 1.50242 0.765520i 0.507072 0.861903i \(-0.330728\pi\)
0.995344 + 0.0963839i \(0.0307277\pi\)
\(108\) −0.987688 0.156434i −0.0950404 0.0150529i
\(109\) 2.12529 + 2.92520i 0.203565 + 0.280184i 0.898578 0.438814i \(-0.144601\pi\)
−0.695013 + 0.718998i \(0.744601\pi\)
\(110\) −1.02219 2.06881i −0.0974618 0.197254i
\(111\) −0.854325 + 0.620704i −0.0810890 + 0.0589146i
\(112\) 0.373526 + 2.35835i 0.0352949 + 0.222843i
\(113\) −7.34084 3.74034i −0.690568 0.351862i 0.0732320 0.997315i \(-0.476669\pi\)
−0.763800 + 0.645453i \(0.776669\pi\)
\(114\) −1.32667 0.963880i −0.124254 0.0902756i
\(115\) −4.26756 + 2.10857i −0.397952 + 0.196626i
\(116\) −2.37438 0.771484i −0.220456 0.0716305i
\(117\) 3.92720 + 2.00101i 0.363070 + 0.184993i
\(118\) 1.36206 1.36206i 0.125388 0.125388i
\(119\) −3.60043 −0.330051
\(120\) −0.664716 2.13498i −0.0606800 0.194896i
\(121\) −8.03761 + 5.83966i −0.730692 + 0.530879i
\(122\) −2.81096 + 0.445212i −0.254492 + 0.0403076i
\(123\) 0.588112 + 0.588112i 0.0530283 + 0.0530283i
\(124\) 5.37460 1.45385i 0.482653 0.130560i
\(125\) 11.1727 + 0.413370i 0.999316 + 0.0369730i
\(126\) −1.93173 1.40348i −0.172092 0.125032i
\(127\) 2.29000 14.4585i 0.203204 1.28298i −0.649409 0.760439i \(-0.724984\pi\)
0.852613 0.522542i \(-0.175016\pi\)
\(128\) −0.891007 0.453990i −0.0787546 0.0401275i
\(129\) 1.92652i 0.169620i
\(130\) −0.121489 + 9.85495i −0.0106553 + 0.864337i
\(131\) −3.92807 12.0894i −0.343197 1.05625i −0.962542 0.271133i \(-0.912602\pi\)
0.619344 0.785119i \(-0.287398\pi\)
\(132\) 0.919496 0.468506i 0.0800318 0.0407783i
\(133\) −1.77762 3.48878i −0.154139 0.302516i
\(134\) 3.40973 4.69309i 0.294556 0.405421i
\(135\) 1.97969 + 1.03964i 0.170384 + 0.0894776i
\(136\) 0.886307 1.21990i 0.0760002 0.104605i
\(137\) 2.81293 17.7602i 0.240325 1.51735i −0.512244 0.858840i \(-0.671186\pi\)
0.752569 0.658513i \(-0.228814\pi\)
\(138\) −0.966437 1.89674i −0.0822686 0.161461i
\(139\) 8.83732 6.42069i 0.749571 0.544596i −0.146123 0.989266i \(-0.546679\pi\)
0.895694 + 0.444671i \(0.146679\pi\)
\(140\) 0.900171 5.26274i 0.0760783 0.444782i
\(141\) 4.22686 + 1.37339i 0.355966 + 0.115660i
\(142\) 4.65981 + 0.738041i 0.391042 + 0.0619350i
\(143\) −4.49253 + 0.711547i −0.375685 + 0.0595026i
\(144\) 0.951057 0.309017i 0.0792547 0.0257514i
\(145\) 4.47556 + 3.33674i 0.371675 + 0.277101i
\(146\) 2.16127 + 0.702239i 0.178868 + 0.0581177i
\(147\) 0.589579 + 1.15711i 0.0486277 + 0.0954372i
\(148\) 0.479416 0.940906i 0.0394077 0.0773420i
\(149\) 1.07041i 0.0876916i −0.999038 0.0438458i \(-0.986039\pi\)
0.999038 0.0438458i \(-0.0139610\pi\)
\(150\) −0.123259 + 4.99848i −0.0100640 + 0.408124i
\(151\) −18.8088 + 6.11135i −1.53064 + 0.497335i −0.948775 0.315952i \(-0.897676\pi\)
−0.581863 + 0.813286i \(0.697676\pi\)
\(152\) 1.61966 + 0.256529i 0.131372 + 0.0208073i
\(153\) 0.235884 + 1.48931i 0.0190701 + 0.120404i
\(154\) 2.46409 0.198562
\(155\) −12.4257 0.775187i −0.998060 0.0622645i
\(156\) −4.40760 −0.352891
\(157\) −1.61684 10.2083i −0.129038 0.814712i −0.964291 0.264846i \(-0.914679\pi\)
0.835253 0.549866i \(-0.185321\pi\)
\(158\) −2.85159 0.451647i −0.226860 0.0359311i
\(159\) 3.97621 1.29195i 0.315334 0.102458i
\(160\) 1.56153 + 1.60051i 0.123450 + 0.126531i
\(161\) 5.08294i 0.400592i
\(162\) −0.453990 + 0.891007i −0.0356689 + 0.0700041i
\(163\) 0.543174 + 1.06604i 0.0425447 + 0.0834986i 0.911300 0.411743i \(-0.135080\pi\)
−0.868756 + 0.495241i \(0.835080\pi\)
\(164\) −0.791009 0.257014i −0.0617674 0.0200695i
\(165\) −2.28343 + 0.332860i −0.177765 + 0.0259132i
\(166\) 3.56188 1.15733i 0.276456 0.0898259i
\(167\) 16.7461 2.65232i 1.29585 0.205243i 0.529856 0.848088i \(-0.322246\pi\)
0.765996 + 0.642845i \(0.222246\pi\)
\(168\) 2.35835 + 0.373526i 0.181951 + 0.0288182i
\(169\) 6.11241 + 1.98604i 0.470186 + 0.152773i
\(170\) −2.75200 + 1.94807i −0.211068 + 0.149410i
\(171\) −1.32667 + 0.963880i −0.101453 + 0.0737097i
\(172\) 0.874620 + 1.71654i 0.0666892 + 0.130885i
\(173\) 3.73478 23.5805i 0.283950 1.79279i −0.272758 0.962083i \(-0.587936\pi\)
0.556708 0.830708i \(-0.312064\pi\)
\(174\) −1.46745 + 2.01977i −0.111247 + 0.153119i
\(175\) −5.68066 + 10.5006i −0.429418 + 0.793774i
\(176\) −0.606579 + 0.834885i −0.0457226 + 0.0629318i
\(177\) −0.874499 1.71630i −0.0657314 0.129005i
\(178\) 5.26602 2.68317i 0.394705 0.201112i
\(179\) 3.53694 + 10.8856i 0.264363 + 0.813626i 0.991839 + 0.127493i \(0.0406931\pi\)
−0.727476 + 0.686133i \(0.759307\pi\)
\(180\) −2.23590 0.0275636i −0.166654 0.00205447i
\(181\) 2.73532i 0.203315i 0.994819 + 0.101657i \(0.0324145\pi\)
−0.994819 + 0.101657i \(0.967585\pi\)
\(182\) −9.37717 4.77791i −0.695082 0.354162i
\(183\) −0.445212 + 2.81096i −0.0329110 + 0.207792i
\(184\) 1.72220 + 1.25125i 0.126963 + 0.0922437i
\(185\) −1.69014 + 1.64898i −0.124262 + 0.121235i
\(186\) 0.278148 5.56081i 0.0203948 0.407739i
\(187\) −1.10032 1.10032i −0.0804635 0.0804635i
\(188\) −4.38967 + 0.695255i −0.320150 + 0.0507067i
\(189\) −1.93173 + 1.40348i −0.140513 + 0.102088i
\(190\) −3.24639 1.70485i −0.235518 0.123683i
\(191\) 8.85005 0.640367 0.320184 0.947355i \(-0.396255\pi\)
0.320184 + 0.947355i \(0.396255\pi\)
\(192\) −0.707107 + 0.707107i −0.0510310 + 0.0510310i
\(193\) −12.1592 6.19540i −0.875236 0.445955i −0.0421582 0.999111i \(-0.513423\pi\)
−0.833078 + 0.553156i \(0.813423\pi\)
\(194\) −7.58967 2.46603i −0.544906 0.177051i
\(195\) 9.33507 + 3.16089i 0.668499 + 0.226356i
\(196\) −1.05064 0.763333i −0.0750456 0.0545238i
\(197\) 22.6389 + 11.5351i 1.61295 + 0.821841i 0.999484 + 0.0321222i \(0.0102266\pi\)
0.613469 + 0.789719i \(0.289773\pi\)
\(198\) −0.161436 1.01927i −0.0114728 0.0724363i
\(199\) 19.8846 14.4470i 1.40958 1.02412i 0.416200 0.909273i \(-0.363361\pi\)
0.993383 0.114849i \(-0.0366385\pi\)
\(200\) −2.15944 4.50964i −0.152695 0.318879i
\(201\) −3.40973 4.69309i −0.240504 0.331025i
\(202\) 2.79986 + 0.443455i 0.196998 + 0.0312014i
\(203\) −5.31146 + 2.70633i −0.372792 + 0.189947i
\(204\) −0.886307 1.21990i −0.0620539 0.0854099i
\(205\) 1.49100 + 1.11161i 0.104136 + 0.0776383i
\(206\) −3.87552 11.9276i −0.270020 0.831037i
\(207\) −2.10255 + 0.333012i −0.146138 + 0.0231459i
\(208\) 3.92720 2.00101i 0.272303 0.138745i
\(209\) 0.522944 1.60946i 0.0361728 0.111328i
\(210\) −4.72699 2.48239i −0.326193 0.171301i
\(211\) 8.71660 0.600075 0.300038 0.953927i \(-0.403001\pi\)
0.300038 + 0.953927i \(0.403001\pi\)
\(212\) −2.95630 + 2.95630i −0.203039 + 0.203039i
\(213\) 2.14188 4.20367i 0.146759 0.288031i
\(214\) 10.2523 + 14.1110i 0.700831 + 0.964611i
\(215\) −0.621393 4.26277i −0.0423786 0.290718i
\(216\) 1.00000i 0.0680414i
\(217\) 6.61976 11.5291i 0.449379 0.782647i
\(218\) −2.55672 + 2.55672i −0.173163 + 0.173163i
\(219\) 1.33574 1.83849i 0.0902609 0.124233i
\(220\) 1.88344 1.33324i 0.126981 0.0898868i
\(221\) 2.05376 + 6.32084i 0.138151 + 0.425185i
\(222\) −0.746708 0.746708i −0.0501157 0.0501157i
\(223\) −3.63176 3.63176i −0.243201 0.243201i 0.574972 0.818173i \(-0.305013\pi\)
−0.818173 + 0.574972i \(0.805013\pi\)
\(224\) −2.27088 + 0.737855i −0.151730 + 0.0493000i
\(225\) 4.71575 + 1.66184i 0.314383 + 0.110789i
\(226\) 2.54593 7.83558i 0.169353 0.521215i
\(227\) −3.69338 23.3191i −0.245138 1.54774i −0.736289 0.676667i \(-0.763424\pi\)
0.491151 0.871075i \(-0.336576\pi\)
\(228\) 0.744476 1.46112i 0.0493042 0.0967648i
\(229\) −1.46523 1.06455i −0.0968251 0.0703475i 0.538319 0.842741i \(-0.319059\pi\)
−0.635144 + 0.772393i \(0.719059\pi\)
\(230\) −2.75021 3.88516i −0.181343 0.256180i
\(231\) 0.761447 2.34349i 0.0500995 0.154191i
\(232\) 0.390551 2.46584i 0.0256409 0.161890i
\(233\) −0.547039 + 3.45387i −0.0358377 + 0.226270i −0.999106 0.0422696i \(-0.986541\pi\)
0.963269 + 0.268540i \(0.0865412\pi\)
\(234\) −1.36202 + 4.19188i −0.0890383 + 0.274032i
\(235\) 9.79569 + 1.67552i 0.639000 + 0.109299i
\(236\) 1.55837 + 1.13222i 0.101441 + 0.0737013i
\(237\) −1.31073 + 2.57245i −0.0851411 + 0.167099i
\(238\) −0.563231 3.55610i −0.0365088 0.230508i
\(239\) −2.00838 + 6.18116i −0.129911 + 0.399826i −0.994764 0.102200i \(-0.967412\pi\)
0.864852 + 0.502026i \(0.167412\pi\)
\(240\) 2.00471 0.990517i 0.129404 0.0639376i
\(241\) 8.49733 2.76095i 0.547361 0.177849i −0.0222652 0.999752i \(-0.507088\pi\)
0.569627 + 0.821904i \(0.307088\pi\)
\(242\) −7.02513 7.02513i −0.451592 0.451592i
\(243\) 0.707107 + 0.707107i 0.0453609 + 0.0453609i
\(244\) −0.879461 2.70670i −0.0563017 0.173279i
\(245\) 1.67778 + 2.37016i 0.107189 + 0.151424i
\(246\) −0.488870 + 0.672873i −0.0311692 + 0.0429008i
\(247\) −5.11083 + 5.11083i −0.325195 + 0.325195i
\(248\) 2.27672 + 5.08100i 0.144572 + 0.322644i
\(249\) 3.74518i 0.237341i
\(250\) 1.33951 + 11.0998i 0.0847183 + 0.702013i
\(251\) 15.6050 + 21.4784i 0.984978 + 1.35571i 0.934104 + 0.357001i \(0.116201\pi\)
0.0508737 + 0.998705i \(0.483799\pi\)
\(252\) 1.08401 2.12750i 0.0682865 0.134020i
\(253\) 1.55339 1.55339i 0.0976609 0.0976609i
\(254\) 14.6387 0.918513
\(255\) 1.00231 + 3.21929i 0.0627670 + 0.201600i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) −7.92730 + 4.03916i −0.494492 + 0.251956i −0.683407 0.730037i \(-0.739503\pi\)
0.188916 + 0.981993i \(0.439503\pi\)
\(258\) 1.90280 0.301374i 0.118463 0.0187627i
\(259\) −0.779177 2.39806i −0.0484157 0.149008i
\(260\) −9.75263 + 1.42166i −0.604832 + 0.0881676i
\(261\) 1.46745 + 2.01977i 0.0908329 + 0.125021i
\(262\) 11.3260 5.77090i 0.699725 0.356528i
\(263\) −0.163047 0.0258241i −0.0100539 0.00159238i 0.151405 0.988472i \(-0.451620\pi\)
−0.161459 + 0.986879i \(0.551620\pi\)
\(264\) 0.606579 + 0.834885i 0.0373324 + 0.0513836i
\(265\) 8.38137 4.14119i 0.514864 0.254391i
\(266\) 3.16775 2.30150i 0.194227 0.141114i
\(267\) −0.924558 5.83743i −0.0565820 0.357245i
\(268\) 5.16871 + 2.63359i 0.315729 + 0.160872i
\(269\) 0.607090 + 0.441077i 0.0370150 + 0.0268929i 0.606139 0.795359i \(-0.292718\pi\)
−0.569124 + 0.822252i \(0.692718\pi\)
\(270\) −0.717145 + 2.11795i −0.0436441 + 0.128894i
\(271\) −1.00908 0.327872i −0.0612975 0.0199168i 0.278208 0.960521i \(-0.410260\pi\)
−0.339505 + 0.940604i \(0.610260\pi\)
\(272\) 1.34353 + 0.684561i 0.0814633 + 0.0415076i
\(273\) −7.44177 + 7.44177i −0.450396 + 0.450396i
\(274\) 17.9815 1.08630
\(275\) −4.94514 + 1.47303i −0.298203 + 0.0888270i
\(276\) 1.72220 1.25125i 0.103664 0.0753167i
\(277\) −30.1414 + 4.77393i −1.81102 + 0.286838i −0.967983 0.251016i \(-0.919235\pi\)
−0.843038 + 0.537854i \(0.819235\pi\)
\(278\) 7.72410 + 7.72410i 0.463261 + 0.463261i
\(279\) −5.20269 1.98292i −0.311477 0.118714i
\(280\) 5.33876 + 0.0658149i 0.319052 + 0.00393319i
\(281\) 6.47081 + 4.70132i 0.386016 + 0.280457i 0.763821 0.645428i \(-0.223321\pi\)
−0.377805 + 0.925885i \(0.623321\pi\)
\(282\) −0.695255 + 4.38967i −0.0414018 + 0.261401i
\(283\) −0.293818 0.149708i −0.0174657 0.00889921i 0.445236 0.895413i \(-0.353120\pi\)
−0.462702 + 0.886514i \(0.653120\pi\)
\(284\) 4.71789i 0.279956i
\(285\) −2.62459 + 2.56067i −0.155468 + 0.151681i
\(286\) −1.40557 4.32591i −0.0831133 0.255797i
\(287\) −1.76948 + 0.901593i −0.104449 + 0.0532193i
\(288\) 0.453990 + 0.891007i 0.0267516 + 0.0525031i
\(289\) 8.65591 11.9138i 0.509171 0.700814i
\(290\) −2.59553 + 4.94244i −0.152415 + 0.290230i
\(291\) −4.69067 + 6.45616i −0.274972 + 0.378467i
\(292\) −0.355496 + 2.24452i −0.0208039 + 0.131350i
\(293\) −4.77122 9.36405i −0.278738 0.547054i 0.708614 0.705596i \(-0.249321\pi\)
−0.987352 + 0.158542i \(0.949321\pi\)
\(294\) −1.05064 + 0.763333i −0.0612745 + 0.0445185i
\(295\) −2.48858 3.51556i −0.144891 0.204684i
\(296\) 1.00432 + 0.326323i 0.0583749 + 0.0189671i
\(297\) −1.01927 0.161436i −0.0591440 0.00936749i
\(298\) 1.05723 0.167449i 0.0612439 0.00970009i
\(299\) −8.92351 + 2.89942i −0.516060 + 0.167678i
\(300\) −4.95622 + 0.660193i −0.286148 + 0.0381163i
\(301\) 4.37489 + 1.42149i 0.252165 + 0.0819333i
\(302\) −8.97846 17.6212i −0.516652 1.01399i
\(303\) 1.28696 2.52579i 0.0739337 0.145103i
\(304\) 1.63985i 0.0940519i
\(305\) −0.0784459 + 6.36335i −0.00449180 + 0.364365i
\(306\) −1.43408 + 0.465959i −0.0819806 + 0.0266371i
\(307\) −11.5065 1.82246i −0.656712 0.104013i −0.180819 0.983516i \(-0.557875\pi\)
−0.475893 + 0.879503i \(0.657875\pi\)
\(308\) 0.385469 + 2.43376i 0.0219641 + 0.138676i
\(309\) −12.5415 −0.713458
\(310\) −1.17817 12.3940i −0.0669156 0.703933i
\(311\) 12.2694 0.695735 0.347867 0.937544i \(-0.386906\pi\)
0.347867 + 0.937544i \(0.386906\pi\)
\(312\) −0.689501 4.35334i −0.0390353 0.246459i
\(313\) −30.6112 4.84834i −1.73025 0.274045i −0.789648 0.613560i \(-0.789737\pi\)
−0.940601 + 0.339515i \(0.889737\pi\)
\(314\) 9.82971 3.19386i 0.554722 0.180240i
\(315\) −3.82161 + 3.72854i −0.215323 + 0.210079i
\(316\) 2.88713i 0.162414i
\(317\) 7.00903 13.7560i 0.393666 0.772614i −0.606074 0.795408i \(-0.707256\pi\)
0.999740 + 0.0227947i \(0.00725639\pi\)
\(318\) 1.89806 + 3.72515i 0.106438 + 0.208896i
\(319\) −2.45030 0.796152i −0.137191 0.0445760i
\(320\) −1.33653 + 1.79268i −0.0747141 + 0.100214i
\(321\) 16.5885 5.38994i 0.925881 0.300837i
\(322\) 5.02037 0.795148i 0.279774 0.0443119i
\(323\) −2.44225 0.386814i −0.135890 0.0215229i
\(324\) −0.951057 0.309017i −0.0528365 0.0171676i
\(325\) 21.6751 + 3.98305i 1.20232 + 0.220940i
\(326\) −0.967943 + 0.703252i −0.0536094 + 0.0389495i
\(327\) 1.64152 + 3.22166i 0.0907761 + 0.178158i
\(328\) 0.130109 0.821476i 0.00718407 0.0453584i
\(329\) −6.23762 + 8.58535i −0.343891 + 0.473326i
\(330\) −0.685970 2.20325i −0.0377614 0.121285i
\(331\) −13.9662 + 19.2228i −0.767651 + 1.05658i 0.228888 + 0.973453i \(0.426491\pi\)
−0.996539 + 0.0831276i \(0.973509\pi\)
\(332\) 1.70028 + 3.33698i 0.0933148 + 0.183141i
\(333\) −0.940906 + 0.479416i −0.0515614 + 0.0262718i
\(334\) 5.23934 + 16.1250i 0.286684 + 0.882322i
\(335\) −9.05839 9.28452i −0.494913 0.507268i
\(336\) 2.38775i 0.130262i
\(337\) −15.6394 7.96868i −0.851933 0.434082i −0.0272176 0.999630i \(-0.508665\pi\)
−0.824715 + 0.565548i \(0.808665\pi\)
\(338\) −1.00540 + 6.34784i −0.0546865 + 0.345277i
\(339\) −6.66534 4.84265i −0.362012 0.263017i
\(340\) −2.35459 2.41337i −0.127696 0.130883i
\(341\) 5.54645 1.50034i 0.300357 0.0812478i
\(342\) −1.15955 1.15955i −0.0627012 0.0627012i
\(343\) −19.5712 + 3.09977i −1.05674 + 0.167372i
\(344\) −1.55858 + 1.13238i −0.0840333 + 0.0610537i
\(345\) −4.54487 + 1.41502i −0.244688 + 0.0761822i
\(346\) 23.8744 1.28350
\(347\) 5.45704 5.45704i 0.292949 0.292949i −0.545295 0.838244i \(-0.683582\pi\)
0.838244 + 0.545295i \(0.183582\pi\)
\(348\) −2.22447 1.13342i −0.119244 0.0607578i
\(349\) 29.1199 + 9.46164i 1.55875 + 0.506470i 0.956475 0.291815i \(-0.0942592\pi\)
0.602280 + 0.798285i \(0.294259\pi\)
\(350\) −11.2600 3.96806i −0.601873 0.212102i
\(351\) 3.56583 + 2.59072i 0.190330 + 0.138283i
\(352\) −0.919496 0.468506i −0.0490093 0.0249715i
\(353\) −3.80413 24.0183i −0.202473 1.27837i −0.854213 0.519923i \(-0.825961\pi\)
0.651740 0.758443i \(-0.274039\pi\)
\(354\) 1.55837 1.13222i 0.0828264 0.0601769i
\(355\) 3.38341 9.99225i 0.179573 0.530334i
\(356\) 3.47393 + 4.78145i 0.184118 + 0.253416i
\(357\) −3.55610 0.563231i −0.188209 0.0298093i
\(358\) −10.1983 + 5.19627i −0.538995 + 0.274631i
\(359\) −14.7419 20.2905i −0.778050 1.07089i −0.995494 0.0948215i \(-0.969772\pi\)
0.217444 0.976073i \(-0.430228\pi\)
\(360\) −0.322547 2.21268i −0.0169997 0.116619i
\(361\) 5.04034 + 15.5126i 0.265281 + 0.816452i
\(362\) −2.70164 + 0.427898i −0.141995 + 0.0224898i
\(363\) −8.85218 + 4.51041i −0.464619 + 0.236735i
\(364\) 3.25217 10.0092i 0.170460 0.524622i
\(365\) 2.36257 4.49883i 0.123662 0.235479i
\(366\) −2.84599 −0.148763
\(367\) −15.8100 + 15.8100i −0.825274 + 0.825274i −0.986859 0.161585i \(-0.948339\pi\)
0.161585 + 0.986859i \(0.448339\pi\)
\(368\) −0.966437 + 1.89674i −0.0503790 + 0.0988744i
\(369\) 0.488870 + 0.672873i 0.0254496 + 0.0350283i
\(370\) −1.89308 1.41138i −0.0984163 0.0733741i
\(371\) 9.98277i 0.518280i
\(372\) 5.53586 0.595179i 0.287021 0.0308586i
\(373\) 20.9983 20.9983i 1.08725 1.08725i 0.0914395 0.995811i \(-0.470853\pi\)
0.995811 0.0914395i \(-0.0291468\pi\)
\(374\) 0.914646 1.25890i 0.0472952 0.0650963i
\(375\) 10.9705 + 2.15608i 0.566513 + 0.111339i
\(376\) −1.37339 4.22686i −0.0708272 0.217984i
\(377\) 7.78094 + 7.78094i 0.400739 + 0.400739i
\(378\) −1.68839 1.68839i −0.0868416 0.0868416i
\(379\) 5.07106 1.64769i 0.260483 0.0846360i −0.175864 0.984414i \(-0.556272\pi\)
0.436347 + 0.899778i \(0.356272\pi\)
\(380\) 1.17601 3.47312i 0.0603281 0.178167i
\(381\) 4.52360 13.9222i 0.231751 0.713257i
\(382\) 1.38445 + 8.74110i 0.0708348 + 0.447233i
\(383\) −11.2962 + 22.1700i −0.577209 + 1.13284i 0.399191 + 0.916868i \(0.369291\pi\)
−0.976400 + 0.215969i \(0.930709\pi\)
\(384\) −0.809017 0.587785i −0.0412850 0.0299953i
\(385\) 0.928953 5.43101i 0.0473438 0.276790i
\(386\) 4.21702 12.9786i 0.214640 0.660595i
\(387\) 0.301374 1.90280i 0.0153197 0.0967247i
\(388\) 1.24839 7.88200i 0.0633772 0.400148i
\(389\) −3.22264 + 9.91826i −0.163394 + 0.502876i −0.998914 0.0465840i \(-0.985166\pi\)
0.835520 + 0.549460i \(0.185166\pi\)
\(390\) −1.66165 + 9.71462i −0.0841408 + 0.491919i
\(391\) −2.59687 1.88674i −0.131329 0.0954164i
\(392\) 0.589579 1.15711i 0.0297783 0.0584431i
\(393\) −1.98852 12.5550i −0.100307 0.633317i
\(394\) −7.85157 + 24.1646i −0.395556 + 1.21740i
\(395\) −2.07049 + 6.11479i −0.104178 + 0.307669i
\(396\) 0.981466 0.318898i 0.0493205 0.0160252i
\(397\) −4.24924 4.24924i −0.213263 0.213263i 0.592389 0.805652i \(-0.298185\pi\)
−0.805652 + 0.592389i \(0.798185\pi\)
\(398\) 17.3798 + 17.3798i 0.871170 + 0.871170i
\(399\) −1.20997 3.72391i −0.0605743 0.186429i
\(400\) 4.11631 2.83831i 0.205815 0.141916i
\(401\) −15.9980 + 22.0193i −0.798901 + 1.09959i 0.194041 + 0.980993i \(0.437841\pi\)
−0.992942 + 0.118600i \(0.962159\pi\)
\(402\) 4.10191 4.10191i 0.204585 0.204585i
\(403\) −24.0163 5.04506i −1.19634 0.251312i
\(404\) 2.83477i 0.141035i
\(405\) 1.79268 + 1.33653i 0.0890789 + 0.0664126i
\(406\) −3.50390 4.82271i −0.173896 0.239347i
\(407\) 0.494745 0.970991i 0.0245236 0.0481302i
\(408\) 1.06623 1.06623i 0.0527862 0.0527862i
\(409\) 6.07083 0.300183 0.150092 0.988672i \(-0.452043\pi\)
0.150092 + 0.988672i \(0.452043\pi\)
\(410\) −0.864682 + 1.64654i −0.0427036 + 0.0813167i
\(411\) 5.55660 17.1015i 0.274087 0.843553i
\(412\) 11.1745 5.69370i 0.550529 0.280508i
\(413\) 4.54277 0.719505i 0.223535 0.0354045i
\(414\) −0.657823 2.02457i −0.0323303 0.0995023i
\(415\) −1.20800 8.28690i −0.0592983 0.406788i
\(416\) 2.59072 + 3.56583i 0.127021 + 0.174829i
\(417\) 9.73293 4.95918i 0.476624 0.242852i
\(418\) 1.67145 + 0.264731i 0.0817532 + 0.0129484i
\(419\) −16.4061 22.5811i −0.801490 1.10316i −0.992581 0.121584i \(-0.961202\pi\)
0.191091 0.981572i \(-0.438798\pi\)
\(420\) 1.71236 5.05713i 0.0835547 0.246762i
\(421\) −3.24097 + 2.35470i −0.157955 + 0.114761i −0.663955 0.747772i \(-0.731123\pi\)
0.506000 + 0.862533i \(0.331123\pi\)
\(422\) 1.36358 + 8.60928i 0.0663779 + 0.419093i
\(423\) 3.95998 + 2.01771i 0.192541 + 0.0981044i
\(424\) −3.38236 2.45743i −0.164262 0.119343i
\(425\) 3.25617 + 6.79997i 0.157947 + 0.329847i
\(426\) 4.48698 + 1.45791i 0.217395 + 0.0706359i
\(427\) −6.05485 3.08510i −0.293015 0.149298i
\(428\) −12.3335 + 12.3335i −0.596162 + 0.596162i
\(429\) −4.54853 −0.219605
\(430\) 4.11308 1.28059i 0.198350 0.0617554i
\(431\) −23.8875 + 17.3553i −1.15062 + 0.835973i −0.988563 0.150808i \(-0.951812\pi\)
−0.162056 + 0.986782i \(0.551812\pi\)
\(432\) 0.987688 0.156434i 0.0475202 0.00752646i
\(433\) 12.6442 + 12.6442i 0.607642 + 0.607642i 0.942329 0.334687i \(-0.108631\pi\)
−0.334687 + 0.942329i \(0.608631\pi\)
\(434\) 12.4227 + 4.73471i 0.596310 + 0.227274i
\(435\) 3.89847 + 3.99579i 0.186918 + 0.191584i
\(436\) −2.92520 2.12529i −0.140092 0.101783i
\(437\) 0.546089 3.44787i 0.0261230 0.164934i
\(438\) 2.02481 + 1.03169i 0.0967490 + 0.0492961i
\(439\) 9.84225i 0.469745i 0.972026 + 0.234873i \(0.0754673\pi\)
−0.972026 + 0.234873i \(0.924533\pi\)
\(440\) 1.61146 + 1.65168i 0.0768232 + 0.0787410i
\(441\) 0.401308 + 1.23510i 0.0191099 + 0.0588142i
\(442\) −5.92174 + 3.01728i −0.281668 + 0.143517i
\(443\) −0.0831254 0.163143i −0.00394940 0.00775114i 0.889023 0.457862i \(-0.151385\pi\)
−0.892973 + 0.450111i \(0.851385\pi\)
\(444\) 0.620704 0.854325i 0.0294573 0.0405445i
\(445\) −3.92860 12.6182i −0.186234 0.598158i
\(446\) 3.01892 4.15518i 0.142950 0.196754i
\(447\) 0.167449 1.05723i 0.00792009 0.0500055i
\(448\) −1.08401 2.12750i −0.0512149 0.100515i
\(449\) −18.1873 + 13.2139i −0.858314 + 0.623602i −0.927426 0.374007i \(-0.877983\pi\)
0.0691117 + 0.997609i \(0.477983\pi\)
\(450\) −0.903676 + 4.91766i −0.0425997 + 0.231821i
\(451\) −0.816301 0.265232i −0.0384381 0.0124893i
\(452\) 8.13738 + 1.28883i 0.382750 + 0.0606217i
\(453\) −19.5333 + 3.09376i −0.917753 + 0.145358i
\(454\) 22.4542 7.29582i 1.05383 0.342410i
\(455\) −14.0659 + 18.8666i −0.659422 + 0.884479i
\(456\) 1.55959 + 0.506742i 0.0730345 + 0.0237303i
\(457\) 12.2951 + 24.1305i 0.575141 + 1.12878i 0.977033 + 0.213090i \(0.0683529\pi\)
−0.401892 + 0.915687i \(0.631647\pi\)
\(458\) 0.822233 1.61372i 0.0384204 0.0754043i
\(459\) 1.50788i 0.0703816i
\(460\) 3.40710 3.32412i 0.158857 0.154988i
\(461\) −0.943778 + 0.306652i −0.0439561 + 0.0142822i −0.330913 0.943661i \(-0.607357\pi\)
0.286956 + 0.957944i \(0.407357\pi\)
\(462\) 2.43376 + 0.385469i 0.113229 + 0.0179337i
\(463\) −1.18366 7.47335i −0.0550095 0.347316i −0.999807 0.0196605i \(-0.993741\pi\)
0.944797 0.327656i \(-0.106259\pi\)
\(464\) 2.49658 0.115901
\(465\) −12.1515 2.70946i −0.563512 0.125648i
\(466\) −3.49692 −0.161992
\(467\) 4.85174 + 30.6327i 0.224512 + 1.41751i 0.800146 + 0.599805i \(0.204755\pi\)
−0.575635 + 0.817707i \(0.695245\pi\)
\(468\) −4.35334 0.689501i −0.201233 0.0318722i
\(469\) 13.1733 4.28028i 0.608289 0.197645i
\(470\) −0.122503 + 9.93720i −0.00565066 + 0.458369i
\(471\) 10.3356i 0.476238i
\(472\) −0.874499 + 1.71630i −0.0402521 + 0.0789992i
\(473\) 0.902586 + 1.77142i 0.0415009 + 0.0814502i
\(474\) −2.74582 0.892173i −0.126120 0.0409788i
\(475\) −4.98146 + 6.51251i −0.228565 + 0.298814i
\(476\) 3.42421 1.11259i 0.156948 0.0509956i
\(477\) 4.12936 0.654026i 0.189070 0.0299458i
\(478\) −6.41924 1.01671i −0.293609 0.0465031i
\(479\) −13.9836 4.54356i −0.638928 0.207600i −0.0284023 0.999597i \(-0.509042\pi\)
−0.610526 + 0.791996i \(0.709042\pi\)
\(480\) 1.29193 + 1.82508i 0.0589682 + 0.0833032i
\(481\) −3.76553 + 2.73582i −0.171693 + 0.124742i
\(482\) 4.05624 + 7.96081i 0.184756 + 0.362605i
\(483\) 0.795148 5.02037i 0.0361805 0.228435i
\(484\) 5.83966 8.03761i 0.265439 0.365346i
\(485\) −8.29655 + 15.7984i −0.376727 + 0.717368i
\(486\) −0.587785 + 0.809017i −0.0266625 + 0.0366978i
\(487\) 6.33767 + 12.4384i 0.287187 + 0.563636i 0.988857 0.148865i \(-0.0475621\pi\)
−0.701670 + 0.712502i \(0.747562\pi\)
\(488\) 2.53580 1.29205i 0.114790 0.0584886i
\(489\) 0.369721 + 1.13789i 0.0167194 + 0.0514570i
\(490\) −2.07852 + 2.02789i −0.0938978 + 0.0916109i
\(491\) 26.2825i 1.18611i 0.805161 + 0.593057i \(0.202079\pi\)
−0.805161 + 0.593057i \(0.797921\pi\)
\(492\) −0.741065 0.377591i −0.0334098 0.0170231i
\(493\) −0.588902 + 3.71818i −0.0265228 + 0.167458i
\(494\) −5.84742 4.24840i −0.263088 0.191145i
\(495\) −2.30739 0.0284449i −0.103709 0.00127850i
\(496\) −4.66228 + 3.04354i −0.209343 + 0.136659i
\(497\) 7.96566 + 7.96566i 0.357309 + 0.357309i
\(498\) 3.69907 0.585876i 0.165759 0.0262537i
\(499\) −25.6127 + 18.6087i −1.14658 + 0.833040i −0.988023 0.154309i \(-0.950685\pi\)
−0.158559 + 0.987350i \(0.550685\pi\)
\(500\) −10.7536 + 3.05941i −0.480916 + 0.136821i
\(501\) 16.9548 0.757487
\(502\) −18.7728 + 18.7728i −0.837872 + 0.837872i
\(503\) 20.0459 + 10.2139i 0.893800 + 0.455414i 0.839656 0.543119i \(-0.182757\pi\)
0.0541447 + 0.998533i \(0.482757\pi\)
\(504\) 2.27088 + 0.737855i 0.101153 + 0.0328667i
\(505\) 2.03294 6.00388i 0.0904645 0.267169i
\(506\) 1.77727 + 1.29126i 0.0790093 + 0.0574036i
\(507\) 5.72647 + 2.91778i 0.254322 + 0.129583i
\(508\) 2.29000 + 14.4585i 0.101602 + 0.641491i
\(509\) −1.78366 + 1.29590i −0.0790592 + 0.0574399i −0.626613 0.779331i \(-0.715559\pi\)
0.547554 + 0.836771i \(0.315559\pi\)
\(510\) −3.02286 + 1.49358i −0.133854 + 0.0661367i
\(511\) 3.18941 + 4.38984i 0.141091 + 0.194195i
\(512\) 0.987688 + 0.156434i 0.0436501 + 0.00691349i
\(513\) −1.46112 + 0.744476i −0.0645099 + 0.0328694i
\(514\) −5.22954 7.19784i −0.230665 0.317483i
\(515\) −27.7503 + 4.04521i −1.22282 + 0.178253i
\(516\) 0.595326 + 1.83223i 0.0262078 + 0.0806593i
\(517\) −4.53003 + 0.717486i −0.199230 + 0.0315550i
\(518\) 2.24665 1.14472i 0.0987120 0.0502963i
\(519\) 7.37760 22.7059i 0.323841 0.996679i
\(520\) −2.92980 9.41016i −0.128480 0.412663i
\(521\) −17.6052 −0.771296 −0.385648 0.922646i \(-0.626022\pi\)
−0.385648 + 0.922646i \(0.626022\pi\)
\(522\) −1.76535 + 1.76535i −0.0772671 + 0.0772671i
\(523\) −9.19990 + 18.0558i −0.402284 + 0.789526i −0.999925 0.0122375i \(-0.996105\pi\)
0.597642 + 0.801763i \(0.296105\pi\)
\(524\) 7.47164 + 10.2838i 0.326400 + 0.449251i
\(525\) −7.25338 + 9.48272i −0.316564 + 0.413860i
\(526\) 0.165079i 0.00719779i
\(527\) −3.43302 7.66151i −0.149545 0.333741i
\(528\) −0.729716 + 0.729716i −0.0317568 + 0.0317568i
\(529\) −10.8554 + 14.9412i −0.471976 + 0.649619i
\(530\) 5.40134 + 7.63036i 0.234619 + 0.331442i
\(531\) −0.595244 1.83197i −0.0258314 0.0795008i
\(532\) 2.76871 + 2.76871i 0.120039 + 0.120039i
\(533\) 2.59217 + 2.59217i 0.112279 + 0.112279i
\(534\) 5.62093 1.82635i 0.243241 0.0790339i
\(535\) 34.9666 17.2768i 1.51174 0.746941i
\(536\) −1.79260 + 5.51706i −0.0774286 + 0.238301i
\(537\) 1.79051 + 11.3049i 0.0772663 + 0.487840i
\(538\) −0.340677 + 0.668616i −0.0146876 + 0.0288261i
\(539\) −1.08423 0.787740i −0.0467012 0.0339304i
\(540\) −2.20406 0.376996i −0.0948476 0.0162233i
\(541\) −10.2168 + 31.4440i −0.439253 + 1.35188i 0.449412 + 0.893324i \(0.351633\pi\)
−0.888665 + 0.458557i \(0.848367\pi\)
\(542\) 0.165979 1.04795i 0.00712942 0.0450134i
\(543\) −0.427898 + 2.70164i −0.0183629 + 0.115939i
\(544\) −0.465959 + 1.43408i −0.0199778 + 0.0614855i
\(545\) 4.67129 + 6.59904i 0.200096 + 0.282672i
\(546\) −8.51429 6.18600i −0.364378 0.264736i
\(547\) −17.8691 + 35.0701i −0.764028 + 1.49949i 0.0994166 + 0.995046i \(0.468302\pi\)
−0.863445 + 0.504444i \(0.831698\pi\)
\(548\) 2.81293 + 17.7602i 0.120163 + 0.758677i
\(549\) −0.879461 + 2.70670i −0.0375345 + 0.115519i
\(550\) −2.22848 4.65383i −0.0950229 0.198440i
\(551\) −3.89363 + 1.26512i −0.165874 + 0.0538959i
\(552\) 1.50526 + 1.50526i 0.0640682 + 0.0640682i
\(553\) −4.87461 4.87461i −0.207290 0.207290i
\(554\) −9.43031 29.0235i −0.400655 1.23309i
\(555\) −1.92729 + 1.36428i −0.0818090 + 0.0579105i
\(556\) −6.42069 + 8.83732i −0.272298 + 0.374786i
\(557\) 10.7224 10.7224i 0.454324 0.454324i −0.442463 0.896787i \(-0.645895\pi\)
0.896787 + 0.442463i \(0.145895\pi\)
\(558\) 1.14463 5.44884i 0.0484559 0.230668i
\(559\) 8.49132i 0.359145i
\(560\) 0.770162 + 5.28333i 0.0325453 + 0.223261i
\(561\) −0.914646 1.25890i −0.0386164 0.0531509i
\(562\) −3.63118 + 7.12660i −0.153172 + 0.300617i
\(563\) −22.1485 + 22.1485i −0.933449 + 0.933449i −0.997920 0.0644702i \(-0.979464\pi\)
0.0644702 + 0.997920i \(0.479464\pi\)
\(564\) −4.44439 −0.187142
\(565\) −16.3103 8.56537i −0.686178 0.360348i
\(566\) 0.101901 0.313620i 0.00428324 0.0131824i
\(567\) −2.12750 + 1.08401i −0.0893466 + 0.0455243i
\(568\) −4.65981 + 0.738041i −0.195521 + 0.0309675i
\(569\) 1.05038 + 3.23274i 0.0440342 + 0.135523i 0.970657 0.240470i \(-0.0773015\pi\)
−0.926622 + 0.375993i \(0.877302\pi\)
\(570\) −2.93972 2.19170i −0.123131 0.0918004i
\(571\) −0.876023 1.20574i −0.0366604 0.0504588i 0.790293 0.612729i \(-0.209928\pi\)
−0.826954 + 0.562270i \(0.809928\pi\)
\(572\) 4.05277 2.06499i 0.169455 0.0863416i
\(573\) 8.74110 + 1.38445i 0.365164 + 0.0578364i
\(574\) −1.16730 1.60665i −0.0487221 0.0670603i
\(575\) −9.59994 + 4.59693i −0.400345 + 0.191705i
\(576\) −0.809017 + 0.587785i −0.0337090 + 0.0244911i
\(577\) 2.18955 + 13.8243i 0.0911521 + 0.575511i 0.990417 + 0.138108i \(0.0441020\pi\)
−0.899265 + 0.437404i \(0.855898\pi\)
\(578\) 13.1212 + 6.68560i 0.545772 + 0.278084i
\(579\) −11.0403 8.02124i −0.458819 0.333351i
\(580\) −5.28762 1.79041i −0.219556 0.0743426i
\(581\) 8.50487 + 2.76340i 0.352842 + 0.114645i
\(582\) −7.11045 3.62296i −0.294738 0.150176i
\(583\) −3.05082 + 3.05082i −0.126352 + 0.126352i
\(584\) −2.27249 −0.0940365
\(585\) 8.72567 + 4.58230i 0.360762 + 0.189455i
\(586\) 8.50238 6.17734i 0.351230 0.255184i
\(587\) −16.8120 + 2.66276i −0.693906 + 0.109904i −0.493418 0.869792i \(-0.664253\pi\)
−0.200488 + 0.979696i \(0.564253\pi\)
\(588\) −0.918291 0.918291i −0.0378697 0.0378697i
\(589\) 5.72896 7.10924i 0.236058 0.292931i
\(590\) 3.08298 3.00789i 0.126924 0.123833i
\(591\) 20.5557 + 14.9346i 0.845547 + 0.614326i
\(592\) −0.165195 + 1.04300i −0.00678949 + 0.0428672i
\(593\) −5.14121 2.61958i −0.211124 0.107573i 0.345231 0.938518i \(-0.387801\pi\)
−0.556355 + 0.830945i \(0.687801\pi\)
\(594\) 1.03197i 0.0423424i
\(595\) −8.05019 0.0992408i −0.330026 0.00406847i
\(596\) 0.330776 + 1.01802i 0.0135491 + 0.0416999i
\(597\) 21.8998 11.1585i 0.896300 0.456688i
\(598\) −4.25967 8.36008i −0.174191 0.341869i
\(599\) 26.4563 36.4140i 1.08097 1.48783i 0.222532 0.974925i \(-0.428568\pi\)
0.858443 0.512909i \(-0.171432\pi\)
\(600\) −1.42739 4.79193i −0.0582729 0.195630i
\(601\) 6.06156 8.34303i 0.247256 0.340319i −0.667292 0.744796i \(-0.732547\pi\)
0.914548 + 0.404477i \(0.132547\pi\)
\(602\) −0.719604 + 4.54340i −0.0293289 + 0.185175i
\(603\) −2.63359 5.16871i −0.107248 0.210486i
\(604\) 15.9997 11.6245i 0.651020 0.472993i
\(605\) −18.1322 + 12.8353i −0.737180 + 0.521831i
\(606\) 2.69602 + 0.875991i 0.109518 + 0.0355847i
\(607\) 2.07907 + 0.329292i 0.0843868 + 0.0133656i 0.198485 0.980104i \(-0.436398\pi\)
−0.114098 + 0.993469i \(0.536398\pi\)
\(608\) −1.61966 + 0.256529i −0.0656859 + 0.0104036i
\(609\) −5.66943 + 1.84211i −0.229737 + 0.0746461i
\(610\) −6.29728 + 0.917968i −0.254969 + 0.0371674i
\(611\) 18.6303 + 6.05336i 0.753703 + 0.244893i
\(612\) −0.684561 1.34353i −0.0276718 0.0543089i
\(613\) 21.2948 41.7934i 0.860089 1.68802i 0.144494 0.989506i \(-0.453845\pi\)
0.715596 0.698515i \(-0.246155\pi\)
\(614\) 11.6500i 0.470154i
\(615\) 1.29875 + 1.33117i 0.0523706 + 0.0536779i
\(616\) −2.34349 + 0.761447i −0.0944220 + 0.0306796i
\(617\) −18.6788 2.95843i −0.751980 0.119102i −0.231334 0.972874i \(-0.574309\pi\)
−0.520646 + 0.853773i \(0.674309\pi\)
\(618\) −1.96192 12.3870i −0.0789198 0.498280i
\(619\) −40.9933 −1.64766 −0.823830 0.566837i \(-0.808167\pi\)
−0.823830 + 0.566837i \(0.808167\pi\)
\(620\) 12.0571 3.10252i 0.484226 0.124600i
\(621\) −2.12876 −0.0854242
\(622\) 1.91936 + 12.1184i 0.0769593 + 0.485902i
\(623\) 13.9383 + 2.20761i 0.558427 + 0.0884461i
\(624\) 4.19188 1.36202i 0.167810 0.0545246i
\(625\) 24.9696 + 1.23221i 0.998785 + 0.0492885i
\(626\) 30.9928i 1.23872i
\(627\) 0.768280 1.50784i 0.0306822 0.0602171i
\(628\) 4.69225 + 9.20905i 0.187241 + 0.367481i
\(629\) −1.51439 0.492055i −0.0603827 0.0196195i
\(630\) −4.28046 3.19129i −0.170538 0.127144i
\(631\) −11.3528 + 3.68873i −0.451946 + 0.146846i −0.526141 0.850398i \(-0.676361\pi\)
0.0741944 + 0.997244i \(0.476361\pi\)
\(632\) 2.85159 0.451647i 0.113430 0.0179655i
\(633\) 8.60928 + 1.36358i 0.342188 + 0.0541973i
\(634\) 14.6831 + 4.77083i 0.583140 + 0.189474i
\(635\) 5.51872 32.2645i 0.219004 1.28038i
\(636\) −3.38236 + 2.45743i −0.134119 + 0.0974435i
\(637\) 2.59863 + 5.10010i 0.102962 + 0.202073i
\(638\) 0.403038 2.54468i 0.0159564 0.100745i
\(639\) 2.77311 3.81686i 0.109702 0.150993i
\(640\) −1.97969 1.03964i −0.0782540 0.0410952i
\(641\) −29.4816 + 40.5780i −1.16445 + 1.60273i −0.471230 + 0.882010i \(0.656190\pi\)
−0.693224 + 0.720723i \(0.743810\pi\)
\(642\) 7.91860 + 15.5411i 0.312522 + 0.613359i
\(643\) 7.16637 3.65145i 0.282614 0.143999i −0.306938 0.951730i \(-0.599304\pi\)
0.589552 + 0.807731i \(0.299304\pi\)
\(644\) 1.57072 + 4.83417i 0.0618949 + 0.190493i
\(645\) 0.0531017 4.30749i 0.00209088 0.169607i
\(646\) 2.47269i 0.0972867i
\(647\) 33.8235 + 17.2339i 1.32974 + 0.677536i 0.967100 0.254395i \(-0.0818762\pi\)
0.362638 + 0.931930i \(0.381876\pi\)
\(648\) 0.156434 0.987688i 0.00614533 0.0388001i
\(649\) 1.60820 + 1.16842i 0.0631272 + 0.0458646i
\(650\) −0.543276 + 22.0313i −0.0213090 + 0.864140i
\(651\) 8.34181 10.3516i 0.326941 0.405711i
\(652\) −0.846013 0.846013i −0.0331324 0.0331324i
\(653\) 38.2779 6.06263i 1.49793 0.237249i 0.646985 0.762502i \(-0.276029\pi\)
0.850946 + 0.525253i \(0.176029\pi\)
\(654\) −2.92520 + 2.12529i −0.114385 + 0.0831052i
\(655\) −8.44954 27.1389i −0.330151 1.06040i
\(656\) 0.831716 0.0324731
\(657\) 1.60690 1.60690i 0.0626910 0.0626910i
\(658\) −9.45543 4.81778i −0.368611 0.187817i
\(659\) −0.457661 0.148703i −0.0178279 0.00579265i 0.300089 0.953911i \(-0.402983\pi\)
−0.317917 + 0.948118i \(0.602983\pi\)
\(660\) 2.06881 1.02219i 0.0805284 0.0397886i
\(661\) 33.2938 + 24.1894i 1.29498 + 0.940858i 0.999893 0.0146131i \(-0.00465165\pi\)
0.295086 + 0.955471i \(0.404652\pi\)
\(662\) −21.1709 10.7871i −0.822831 0.419253i
\(663\) 1.03968 + 6.56430i 0.0403779 + 0.254936i
\(664\) −3.02992 + 2.20136i −0.117584 + 0.0854295i
\(665\) −3.87842 7.84955i −0.150399 0.304393i
\(666\) −0.620704 0.854325i −0.0240518 0.0331044i
\(667\) −5.24918 0.831389i −0.203249 0.0321915i
\(668\) −15.1069 + 7.69734i −0.584503 + 0.297819i
\(669\) −3.01892 4.15518i −0.116718 0.160649i
\(670\) 7.75317 10.3993i 0.299531 0.401760i
\(671\) −0.907581 2.79325i −0.0350368 0.107832i
\(672\) −2.35835 + 0.373526i −0.0909754 + 0.0144091i
\(673\) 27.4107 13.9665i 1.05661 0.538368i 0.162725 0.986671i \(-0.447972\pi\)
0.893881 + 0.448304i \(0.147972\pi\)
\(674\) 5.42403 16.6934i 0.208926 0.643007i
\(675\) 4.39772 + 2.37909i 0.169268 + 0.0915711i
\(676\) −6.42697 −0.247191
\(677\) 3.21458 3.21458i 0.123546 0.123546i −0.642630 0.766177i \(-0.722157\pi\)
0.766177 + 0.642630i \(0.222157\pi\)
\(678\) 3.74034 7.34084i 0.143647 0.281923i
\(679\) −11.2001 15.4157i −0.429822 0.591599i
\(680\) 2.01532 2.70314i 0.0772839 0.103661i
\(681\) 23.6098i 0.904728i
\(682\) 2.34952 + 5.24346i 0.0899678 + 0.200782i
\(683\) 11.2633 11.2633i 0.430977 0.430977i −0.457983 0.888961i \(-0.651428\pi\)
0.888961 + 0.457983i \(0.151428\pi\)
\(684\) 0.963880 1.32667i 0.0368549 0.0507264i
\(685\) 6.77897 39.6324i 0.259011 1.51428i
\(686\) −6.12321 18.8453i −0.233785 0.719516i
\(687\) −1.28066 1.28066i −0.0488601 0.0488601i
\(688\) −1.36225 1.36225i −0.0519354 0.0519354i
\(689\) 17.5255 5.69440i 0.667670 0.216939i
\(690\) −2.10857 4.26756i −0.0802721 0.162463i
\(691\) 1.85775 5.71756i 0.0706720 0.217506i −0.909482 0.415743i \(-0.863522\pi\)
0.980154 + 0.198237i \(0.0635216\pi\)
\(692\) 3.73478 + 23.5805i 0.141975 + 0.896395i
\(693\) 1.11868 2.19552i 0.0424950 0.0834011i
\(694\) 6.24352 + 4.53618i 0.237001 + 0.172191i
\(695\) 19.9363 14.1124i 0.756228 0.535314i
\(696\) 0.771484 2.37438i 0.0292430 0.0900008i
\(697\) −0.196188 + 1.23868i −0.00743116 + 0.0469185i
\(698\) −4.78979 + 30.2415i −0.181296 + 1.14466i
\(699\) −1.08061 + 3.32577i −0.0408724 + 0.125792i
\(700\) 2.15775 11.7421i 0.0815553 0.443811i
\(701\) −19.3871 14.0855i −0.732240 0.532004i 0.158031 0.987434i \(-0.449485\pi\)
−0.890271 + 0.455431i \(0.849485\pi\)
\(702\) −2.00101 + 3.92720i −0.0755233 + 0.148223i
\(703\) −0.270896 1.71037i −0.0102170 0.0645078i
\(704\) 0.318898 0.981466i 0.0120189 0.0369904i
\(705\) 9.41298 + 3.18727i 0.354513 + 0.120040i
\(706\) 23.1275 7.51458i 0.870415 0.282815i
\(707\) 4.78620 + 4.78620i 0.180003 + 0.180003i
\(708\) 1.36206 + 1.36206i 0.0511895 + 0.0511895i
\(709\) 0.231432 + 0.712276i 0.00869163 + 0.0267501i 0.955308 0.295611i \(-0.0955233\pi\)
−0.946617 + 0.322361i \(0.895523\pi\)
\(710\) 10.3985 + 1.77863i 0.390249 + 0.0667507i
\(711\) −1.69701 + 2.33574i −0.0636430 + 0.0875970i
\(712\) −4.17914 + 4.17914i −0.156620 + 0.156620i
\(713\) 10.8162 4.84660i 0.405071 0.181507i
\(714\) 3.60043i 0.134743i
\(715\) −10.0645 + 1.46712i −0.376389 + 0.0548671i
\(716\) −6.72765 9.25982i −0.251424 0.346056i
\(717\) −2.95060 + 5.79088i −0.110192 + 0.216264i
\(718\) 17.7346 17.7346i 0.661849 0.661849i
\(719\) 10.6446 0.396977 0.198489 0.980103i \(-0.436397\pi\)
0.198489 + 0.980103i \(0.436397\pi\)
\(720\) 2.13498 0.664716i 0.0795661 0.0247725i
\(721\) 9.25377 28.4802i 0.344628 1.06066i
\(722\) −14.5331 + 7.40499i −0.540866 + 0.275585i
\(723\) 8.82463 1.39768i 0.328191 0.0519804i
\(724\) −0.845260 2.60144i −0.0314138 0.0966818i
\(725\) 9.91492 + 7.58398i 0.368231 + 0.281662i
\(726\) −5.83966 8.03761i −0.216730 0.298304i
\(727\) 20.0163 10.1988i 0.742364 0.378253i −0.0415389 0.999137i \(-0.513226\pi\)
0.783903 + 0.620884i \(0.213226\pi\)
\(728\) 10.3947 + 1.64635i 0.385252 + 0.0610180i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) 4.81302 + 1.62971i 0.178138 + 0.0603182i
\(731\) 2.35015 1.70749i 0.0869235 0.0631536i
\(732\) −0.445212 2.81096i −0.0164555 0.103896i
\(733\) −17.2614 8.79511i −0.637563 0.324855i 0.105158 0.994456i \(-0.466465\pi\)
−0.742721 + 0.669601i \(0.766465\pi\)
\(734\) −18.0885 13.1421i −0.667661 0.485084i
\(735\) 1.28635 + 2.60344i 0.0474476 + 0.0960294i
\(736\) −2.02457 0.657823i −0.0746267 0.0242477i
\(737\) 5.33398 + 2.71780i 0.196480 + 0.100111i
\(738\) −0.588112 + 0.588112i −0.0216487 + 0.0216487i
\(739\) −5.11115 −0.188017 −0.0940084 0.995571i \(-0.529968\pi\)
−0.0940084 + 0.995571i \(0.529968\pi\)
\(740\) 1.09786 2.09056i 0.0403581 0.0768504i
\(741\) −5.84742 + 4.24840i −0.214810 + 0.156069i
\(742\) −9.85987 + 1.56165i −0.361967 + 0.0573300i
\(743\) 33.9341 + 33.9341i 1.24492 + 1.24492i 0.957935 + 0.286985i \(0.0926530\pi\)
0.286985 + 0.957935i \(0.407347\pi\)
\(744\) 1.45385 + 5.37460i 0.0533008 + 0.197042i
\(745\) 0.0295044 2.39333i 0.00108096 0.0876850i
\(746\) 24.0246 + 17.4549i 0.879604 + 0.639070i
\(747\) 0.585876 3.69907i 0.0214361 0.135342i
\(748\) 1.38649 + 0.706450i 0.0506949 + 0.0258304i
\(749\) 41.6476i 1.52177i
\(750\) −0.413370 + 11.1727i −0.0150941 + 0.407969i
\(751\) −10.9898 33.8233i −0.401025 1.23423i −0.924169 0.381984i \(-0.875241\pi\)
0.523144 0.852244i \(-0.324759\pi\)
\(752\) 3.95998 2.01771i 0.144406 0.0735783i
\(753\) 12.0529 + 23.6551i 0.439232 + 0.862041i
\(754\) −6.46794 + 8.90236i −0.235548 + 0.324205i
\(755\) −42.2230 + 13.1459i −1.53665 + 0.478429i
\(756\) 1.40348 1.93173i 0.0510442 0.0702563i
\(757\) 6.63839 41.9132i 0.241276 1.52336i −0.508148 0.861270i \(-0.669670\pi\)
0.749424 0.662090i \(-0.230330\pi\)
\(758\) 2.42069 + 4.75087i 0.0879235 + 0.172559i
\(759\) 1.77727 1.29126i 0.0645108 0.0468699i
\(760\) 3.61433 + 0.618217i 0.131105 + 0.0224251i
\(761\) 9.18714 + 2.98508i 0.333034 + 0.108209i 0.470760 0.882261i \(-0.343980\pi\)
−0.137727 + 0.990470i \(0.543980\pi\)
\(762\) 14.4585 + 2.29000i 0.523775 + 0.0829578i
\(763\) −8.52721 + 1.35058i −0.308706 + 0.0488942i
\(764\) −8.41690 + 2.73482i −0.304513 + 0.0989422i
\(765\) 0.486361 + 3.33645i 0.0175844 + 0.120630i
\(766\) −23.6642 7.68897i −0.855023 0.277814i
\(767\) −3.85445 7.56478i −0.139176 0.273148i
\(768\) 0.453990 0.891007i 0.0163820 0.0321514i
\(769\) 1.67588i 0.0604339i −0.999543 0.0302170i \(-0.990380\pi\)
0.999543 0.0302170i \(-0.00961983\pi\)
\(770\) 5.50946 + 0.0679193i 0.198547 + 0.00244764i
\(771\) −8.46157 + 2.74933i −0.304736 + 0.0990147i
\(772\) 13.4785 + 2.13479i 0.485103 + 0.0768328i
\(773\) −4.52433 28.5655i −0.162729 1.02743i −0.924944 0.380104i \(-0.875888\pi\)
0.762215 0.647324i \(-0.224112\pi\)
\(774\) 1.92652 0.0692472
\(775\) −27.7613 2.07574i −0.997216 0.0745627i
\(776\) 7.98025 0.286474
\(777\) −0.394445 2.49043i −0.0141506 0.0893436i
\(778\) −10.3003 1.63140i −0.369283 0.0584887i
\(779\) −1.29714 + 0.421465i −0.0464747 + 0.0151006i
\(780\) −9.85495 0.121489i −0.352864 0.00435002i
\(781\) 4.86875i 0.174217i
\(782\) 1.45727 2.86005i 0.0521118 0.102275i
\(783\) 1.13342 + 2.22447i 0.0405052 + 0.0794959i
\(784\) 1.23510 + 0.401308i 0.0441107 + 0.0143324i
\(785\) −3.33371 22.8693i −0.118985 0.816241i
\(786\) 12.0894 3.92807i 0.431213 0.140110i
\(787\) 20.3571 3.22424i 0.725651 0.114932i 0.217329 0.976098i \(-0.430266\pi\)
0.508323 + 0.861167i \(0.330266\pi\)
\(788\) −25.0954 3.97472i −0.893986 0.141594i
\(789\) −0.157000 0.0510122i −0.00558933 0.00181608i
\(790\) −6.36341 1.08844i −0.226400 0.0387248i
\(791\) 15.9152 11.5630i 0.565878 0.411134i
\(792\) 0.468506 + 0.919496i 0.0166477 + 0.0326729i
\(793\) −1.96232 + 12.3896i −0.0696839 + 0.439967i
\(794\) 3.53219 4.86165i 0.125353 0.172533i
\(795\) 8.92601 2.77907i 0.316573 0.0985633i
\(796\) −14.4470 + 19.8846i −0.512061 + 0.704792i
\(797\) 6.52923 + 12.8143i 0.231277 + 0.453907i 0.977256 0.212062i \(-0.0680180\pi\)
−0.745979 + 0.665970i \(0.768018\pi\)
\(798\) 3.48878 1.77762i 0.123501 0.0629271i
\(799\) 2.07090 + 6.37359i 0.0732633 + 0.225481i
\(800\) 3.44730 + 3.62162i 0.121881 + 0.128043i
\(801\) 5.91019i 0.208826i
\(802\) −24.2509 12.3564i −0.856328 0.436321i
\(803\) −0.366863 + 2.31628i −0.0129463 + 0.0817399i
\(804\) 4.69309 + 3.40973i 0.165513 + 0.120252i
\(805\) 0.140104 11.3649i 0.00493803 0.400562i
\(806\) 1.22597 24.5099i 0.0431828 0.863323i
\(807\) 0.530616 + 0.530616i 0.0186786 + 0.0186786i
\(808\) −2.79986 + 0.443455i −0.0984989 + 0.0156007i
\(809\) 4.44077 3.22641i 0.156129 0.113435i −0.506978 0.861959i \(-0.669237\pi\)
0.663107 + 0.748525i \(0.269237\pi\)
\(810\) −1.03964 + 1.97969i −0.0365291 + 0.0695591i
\(811\) 7.84673 0.275536 0.137768 0.990465i \(-0.456007\pi\)
0.137768 + 0.990465i \(0.456007\pi\)
\(812\) 4.21520 4.21520i 0.147925 0.147925i
\(813\) −0.945371 0.481691i −0.0331556 0.0168936i
\(814\) 1.03643 + 0.336757i 0.0363269 + 0.0118033i
\(815\) 1.18510 + 2.39853i 0.0415122 + 0.0840167i
\(816\) 1.21990 + 0.886307i 0.0427050 + 0.0310270i
\(817\) 2.81487 + 1.43425i 0.0984797 + 0.0501779i
\(818\) 0.949687 + 5.99609i 0.0332050 + 0.209648i
\(819\) −8.51429 + 6.18600i −0.297514 + 0.216156i
\(820\) −1.76153 0.596461i −0.0615153 0.0208293i
\(821\) −16.1603 22.2427i −0.563998 0.776277i 0.427830 0.903859i \(-0.359278\pi\)
−0.991828 + 0.127582i \(0.959278\pi\)
\(822\) 17.7602 + 2.81293i 0.619457 + 0.0981123i
\(823\) −19.2928 + 9.83016i −0.672504 + 0.342658i −0.756673 0.653794i \(-0.773176\pi\)
0.0841691 + 0.996451i \(0.473176\pi\)
\(824\) 7.37168 + 10.1462i 0.256805 + 0.353461i
\(825\) −5.11469 + 0.681303i −0.178071 + 0.0237199i
\(826\) 1.42129 + 4.37429i 0.0494531 + 0.152201i
\(827\) −37.0177 + 5.86303i −1.28723 + 0.203877i −0.762276 0.647252i \(-0.775918\pi\)
−0.524956 + 0.851130i \(0.675918\pi\)
\(828\) 1.89674 0.966437i 0.0659163 0.0335860i
\(829\) −2.34925 + 7.23025i −0.0815929 + 0.251117i −0.983528 0.180754i \(-0.942146\pi\)
0.901936 + 0.431871i \(0.142146\pi\)
\(830\) 7.99590 2.48948i 0.277542 0.0864112i
\(831\) −30.5171 −1.05863
\(832\) −3.11665 + 3.11665i −0.108050 + 0.108050i
\(833\) −0.889013 + 1.74479i −0.0308025 + 0.0604532i
\(834\) 6.42069 + 8.83732i 0.222330 + 0.306011i
\(835\) 37.5157 5.46874i 1.29828 0.189254i
\(836\) 1.69228i 0.0585288i
\(837\) −4.82844 2.77239i −0.166895 0.0958277i
\(838\) 19.7366 19.7366i 0.681788 0.681788i
\(839\) 0.681092 0.937443i 0.0235139 0.0323641i −0.797098 0.603850i \(-0.793633\pi\)
0.820612 + 0.571486i \(0.193633\pi\)
\(840\) 5.26274 + 0.900171i 0.181582 + 0.0310588i
\(841\) −7.03542 21.6528i −0.242601 0.746649i
\(842\) −2.83271 2.83271i −0.0976215 0.0976215i
\(843\) 5.65570 + 5.65570i 0.194793 + 0.194793i
\(844\) −8.28998 + 2.69358i −0.285353 + 0.0927168i
\(845\) 13.6120 + 4.60907i 0.468267 + 0.158557i
\(846\) −1.37339 + 4.22686i −0.0472182 + 0.145323i
\(847\) −3.71099 23.4303i −0.127511 0.805074i
\(848\) 1.89806 3.72515i 0.0651796 0.127922i
\(849\) −0.266781 0.193828i −0.00915591 0.00665216i
\(850\) −6.20688 + 4.27983i −0.212894 + 0.146797i
\(851\) 0.694664 2.13796i 0.0238128 0.0732882i
\(852\) −0.738041 + 4.65981i −0.0252849 + 0.159642i
\(853\) 5.91244 37.3297i 0.202438 1.27814i −0.651852 0.758346i \(-0.726008\pi\)
0.854290 0.519797i \(-0.173992\pi\)
\(854\) 2.09993 6.46292i 0.0718581 0.221157i
\(855\) −2.99286 + 2.11857i −0.102354 + 0.0724535i
\(856\) −14.1110 10.2523i −0.482305 0.350415i
\(857\) −12.4654 + 24.4647i −0.425809 + 0.835697i 0.574049 + 0.818821i \(0.305372\pi\)
−0.999858 + 0.0168759i \(0.994628\pi\)
\(858\) −0.711547 4.49253i −0.0242918 0.153373i
\(859\) −13.8529 + 42.6347i −0.472654 + 1.45468i 0.376442 + 0.926440i \(0.377147\pi\)
−0.849096 + 0.528239i \(0.822853\pi\)
\(860\) 1.90825 + 3.86211i 0.0650707 + 0.131697i
\(861\) −1.88873 + 0.613686i −0.0643678 + 0.0209144i
\(862\) −20.8784 20.8784i −0.711121 0.711121i
\(863\) 19.5927 + 19.5927i 0.666942 + 0.666942i 0.957007 0.290065i \(-0.0936770\pi\)
−0.290065 + 0.957007i \(0.593677\pi\)
\(864\) 0.309017 + 0.951057i 0.0105130 + 0.0323556i
\(865\) 9.00055 52.6206i 0.306028 1.78915i
\(866\) −10.5106 + 14.4665i −0.357163 + 0.491593i
\(867\) 10.4131 10.4131i 0.353647 0.353647i
\(868\) −2.73308 + 13.0105i −0.0927668 + 0.441603i
\(869\) 2.97944i 0.101071i
\(870\) −3.33674 + 4.47556i −0.113126 + 0.151736i
\(871\) −15.0287 20.6853i −0.509229 0.700894i
\(872\) 1.64152 3.22166i 0.0555888 0.109099i
\(873\) −5.64289 + 5.64289i −0.190983 + 0.190983i
\(874\) 3.49085 0.118080
\(875\) −12.9908 + 23.3218i −0.439170 + 0.788421i
\(876\) −0.702239 + 2.16127i −0.0237265 + 0.0730226i
\(877\) −16.9935 + 8.65861i −0.573829 + 0.292380i −0.716723 0.697358i \(-0.754359\pi\)
0.142895 + 0.989738i \(0.454359\pi\)
\(878\) −9.72108 + 1.53967i −0.328070 + 0.0519613i
\(879\) −3.24762 9.99515i −0.109540 0.337128i
\(880\) −1.37926 + 1.85000i −0.0464949 + 0.0623634i
\(881\) −6.94189 9.55469i −0.233878 0.321906i 0.675906 0.736988i \(-0.263753\pi\)
−0.909784 + 0.415083i \(0.863753\pi\)
\(882\) −1.15711 + 0.589579i −0.0389621 + 0.0198522i
\(883\) 14.6112 + 2.31419i 0.491707 + 0.0778787i 0.397364 0.917661i \(-0.369925\pi\)
0.0943427 + 0.995540i \(0.469925\pi\)
\(884\) −3.90649 5.37682i −0.131390 0.180842i
\(885\) −1.90798 3.86158i −0.0641362 0.129806i
\(886\) 0.148130 0.107623i 0.00497654 0.00361567i
\(887\) −8.70232 54.9443i −0.292195 1.84485i −0.499171 0.866503i \(-0.666362\pi\)
0.206976 0.978346i \(-0.433638\pi\)
\(888\) 0.940906 + 0.479416i 0.0315748 + 0.0160881i
\(889\) 28.2780 + 20.5452i 0.948413 + 0.689062i
\(890\) 11.8482 5.85415i 0.397154 0.196232i
\(891\) −0.981466 0.318898i −0.0328803 0.0106835i
\(892\) 4.57629 + 2.33174i 0.153225 + 0.0780723i
\(893\) −5.15348 + 5.15348i −0.172455 + 0.172455i
\(894\) 1.07041 0.0358000
\(895\) 7.60819 + 24.4365i 0.254314 + 0.816823i
\(896\) 1.93173 1.40348i 0.0645345 0.0468871i
\(897\) −9.26722 + 1.46778i −0.309423 + 0.0490079i
\(898\) −15.8963 15.8963i −0.530467 0.530467i
\(899\) −10.8234 8.72201i −0.360981 0.290895i
\(900\) −4.99848 0.123259i −0.166616 0.00410863i
\(901\) 5.10019 + 3.70550i 0.169912 + 0.123448i
\(902\) 0.134269 0.847742i 0.00447068 0.0282267i
\(903\) 4.09866 + 2.08837i 0.136395 + 0.0694967i
\(904\) 8.23882i 0.274019i
\(905\) −0.0753952 + 6.11589i −0.00250622 + 0.203299i
\(906\) −6.11135 18.8088i −0.203036 0.624881i
\(907\) −23.9318 + 12.1939i −0.794643 + 0.404891i −0.803675 0.595069i \(-0.797125\pi\)
0.00903224 + 0.999959i \(0.497125\pi\)
\(908\) 10.7186 + 21.0364i 0.355709 + 0.698119i
\(909\) 1.66623 2.29337i 0.0552655 0.0760664i
\(910\) −20.8347 10.9414i −0.690664 0.362703i
\(911\) −3.06601 + 4.22001i −0.101582 + 0.139815i −0.856782 0.515679i \(-0.827540\pi\)
0.755200 + 0.655494i \(0.227540\pi\)
\(912\) −0.256529 + 1.61966i −0.00849453 + 0.0536323i
\(913\) 1.75464 + 3.44368i 0.0580702 + 0.113969i
\(914\) −21.9100 + 15.9186i −0.724720 + 0.526540i
\(915\) −1.07293 + 6.27274i −0.0354699 + 0.207370i
\(916\) 1.72248 + 0.559668i 0.0569124 + 0.0184919i
\(917\) 29.9782 + 4.74808i 0.989967 + 0.156795i
\(918\) −1.48931 + 0.235884i −0.0491546 + 0.00778533i
\(919\) 22.4463 7.29325i 0.740436 0.240582i 0.0855750 0.996332i \(-0.472727\pi\)
0.654861 + 0.755750i \(0.272727\pi\)
\(920\) 3.81618 + 2.84515i 0.125816 + 0.0938017i
\(921\) −11.0798 3.60004i −0.365091 0.118625i
\(922\) −0.450516 0.884188i −0.0148370 0.0291192i
\(923\) 9.44055 18.5281i 0.310740 0.609861i
\(924\) 2.46409i 0.0810627i
\(925\) −3.82444 + 3.64037i −0.125747 + 0.119694i
\(926\) 7.19618 2.33818i 0.236481 0.0768373i
\(927\) −12.3870 1.96192i −0.406844 0.0644378i
\(928\) 0.390551 + 2.46584i 0.0128204 + 0.0809451i
\(929\) −3.22773 −0.105898 −0.0529492 0.998597i \(-0.516862\pi\)
−0.0529492 + 0.998597i \(0.516862\pi\)
\(930\) 0.775187 12.4257i 0.0254194 0.407456i
\(931\) −2.12961 −0.0697951
\(932\) −0.547039 3.45387i −0.0179189 0.113135i
\(933\) 12.1184 + 1.91936i 0.396737 + 0.0628370i
\(934\) −29.4966 + 9.58402i −0.965157 + 0.313599i
\(935\) −2.42988 2.49054i −0.0794655 0.0814492i
\(936\) 4.40760i 0.144067i
\(937\) 23.5517 46.2227i 0.769399 1.51003i −0.0884222 0.996083i \(-0.528182\pi\)
0.857821 0.513948i \(-0.171818\pi\)
\(938\) 6.28835 + 12.3416i 0.205322 + 0.402967i
\(939\) −29.4759 9.57730i −0.961910 0.312543i
\(940\) −9.83402 + 1.43352i −0.320750 + 0.0467564i
\(941\) −38.3844 + 12.4718i −1.25130 + 0.406571i −0.858385 0.513006i \(-0.828532\pi\)
−0.392911 + 0.919577i \(0.628532\pi\)
\(942\) 10.2083 1.61684i 0.332605 0.0526794i
\(943\) −1.74873 0.276971i −0.0569464 0.00901942i
\(944\) −1.83197 0.595244i −0.0596256 0.0193735i
\(945\) −4.35783 + 3.08480i −0.141760 + 0.100349i
\(946\) −1.60842 + 1.16858i −0.0522942 + 0.0379940i
\(947\) 18.2244 + 35.7673i 0.592212 + 1.16228i 0.971508 + 0.237006i \(0.0761662\pi\)
−0.379296 + 0.925275i \(0.623834\pi\)
\(948\) 0.451647 2.85159i 0.0146688 0.0926152i
\(949\) 5.88741 8.10332i 0.191113 0.263045i
\(950\) −7.21160 3.90135i −0.233975 0.126576i
\(951\) 9.07465 12.4902i 0.294266 0.405022i
\(952\) 1.63456 + 3.20800i 0.0529764 + 0.103972i
\(953\) −31.8977 + 16.2527i −1.03327 + 0.526477i −0.886517 0.462696i \(-0.846882\pi\)
−0.146752 + 0.989173i \(0.546882\pi\)
\(954\) 1.29195 + 3.97621i 0.0418284 + 0.128734i
\(955\) 19.7878 + 0.243939i 0.640319 + 0.00789369i
\(956\) 6.49926i 0.210201i
\(957\) −2.29559 1.16966i −0.0742059 0.0378098i
\(958\) 2.30010 14.5222i 0.0743127 0.469192i
\(959\) 34.7355 + 25.2368i 1.12167 + 0.814939i
\(960\) −1.60051 + 1.56153i −0.0516562 + 0.0503981i
\(961\) 30.8453 + 3.09346i 0.995009 + 0.0997890i
\(962\) −3.29119 3.29119i −0.106112 0.106112i
\(963\) 17.2275 2.72856i 0.555147 0.0879267i
\(964\) −7.22826 + 5.25164i −0.232807 + 0.169144i
\(965\) −27.0159 14.1874i −0.869672 0.456710i
\(966\) 5.08294 0.163541
\(967\) 13.8109 13.8109i 0.444128 0.444128i −0.449269 0.893397i \(-0.648316\pi\)
0.893397 + 0.449269i \(0.148316\pi\)
\(968\) 8.85218 + 4.51041i 0.284520 + 0.144970i
\(969\) −2.35167 0.764103i −0.0755465 0.0245465i
\(970\) −16.9017 5.72299i −0.542682 0.183754i
\(971\) −6.27517 4.55918i −0.201380 0.146311i 0.482525 0.875882i \(-0.339720\pi\)
−0.683905 + 0.729571i \(0.739720\pi\)
\(972\) −0.891007 0.453990i −0.0285790 0.0145618i
\(973\) 4.08022 + 25.7615i 0.130806 + 0.825876i
\(974\) −11.2938 + 8.20543i −0.361877 + 0.262919i
\(975\) 20.7852 + 7.32474i 0.665658 + 0.234579i
\(976\) 1.67283 + 2.30246i 0.0535461 + 0.0736999i
\(977\) 5.23401 + 0.828986i 0.167451 + 0.0265216i 0.239597 0.970872i \(-0.422985\pi\)
−0.0721460 + 0.997394i \(0.522985\pi\)
\(978\) −1.06604 + 0.543174i −0.0340882 + 0.0173688i
\(979\) 3.58500 + 4.93433i 0.114577 + 0.157702i
\(980\) −2.32808 1.73569i −0.0743678 0.0554447i
\(981\) 1.11733 + 3.43878i 0.0356736 + 0.109792i
\(982\) −25.9589 + 4.11149i −0.828383 + 0.131203i
\(983\) 35.0471 17.8574i 1.11783 0.569563i 0.205352 0.978688i \(-0.434166\pi\)
0.912478 + 0.409125i \(0.134166\pi\)
\(984\) 0.257014 0.791009i 0.00819332 0.0252164i
\(985\) 50.3003 + 26.4153i 1.60270 + 0.841661i
\(986\) −3.76453 −0.119887
\(987\) −7.50387 + 7.50387i −0.238851 + 0.238851i
\(988\) 3.28136 6.44003i 0.104394 0.204884i
\(989\) 2.41056 + 3.31785i 0.0766514 + 0.105502i
\(990\) −0.332860 2.28343i −0.0105790 0.0725722i
\(991\) 10.7990i 0.343043i −0.985180 0.171521i \(-0.945132\pi\)
0.985180 0.171521i \(-0.0548683\pi\)
\(992\) −3.73541 4.12877i −0.118599 0.131089i
\(993\) −16.8013 + 16.8013i −0.533174 + 0.533174i
\(994\) −6.62148 + 9.11369i −0.210021 + 0.289069i
\(995\) 44.8582 31.7540i 1.42210 1.00667i
\(996\) 1.15733 + 3.56188i 0.0366713 + 0.112863i
\(997\) 29.3304 + 29.3304i 0.928904 + 0.928904i 0.997635 0.0687316i \(-0.0218952\pi\)
−0.0687316 + 0.997635i \(0.521895\pi\)
\(998\) −22.3863 22.3863i −0.708626 0.708626i
\(999\) −1.00432 + 0.326323i −0.0317753 + 0.0103244i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 930.2.bj.b.277.16 yes 128
5.3 odd 4 930.2.bj.a.463.16 128
31.15 odd 10 930.2.bj.a.697.16 yes 128
155.108 even 20 inner 930.2.bj.b.883.16 yes 128
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bj.a.463.16 128 5.3 odd 4
930.2.bj.a.697.16 yes 128 31.15 odd 10
930.2.bj.b.277.16 yes 128 1.1 even 1 trivial
930.2.bj.b.883.16 yes 128 155.108 even 20 inner