Properties

Label 187.2.m.a.10.4
Level $187$
Weight $2$
Character 187.10
Analytic conductor $1.493$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [187,2,Mod(10,187)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(187, base_ring=CyclotomicField(16))
 
chi = DirichletCharacter(H, H._module([8, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("187.10");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 187 = 11 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 187.m (of order \(16\), 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: \(1.49320251780\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 10.4
Character \(\chi\) \(=\) 187.10
Dual form 187.2.m.a.131.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.50318 - 0.622639i) q^{2} +(1.02275 + 0.683380i) q^{3} +(0.457668 + 0.457668i) q^{4} +(0.908813 - 0.180774i) q^{5} +(-1.11188 - 1.66405i) q^{6} +(0.274197 - 1.37848i) q^{7} +(0.842281 + 2.03345i) q^{8} +(-0.569040 - 1.37378i) q^{9} +O(q^{10})\) \(q+(-1.50318 - 0.622639i) q^{2} +(1.02275 + 0.683380i) q^{3} +(0.457668 + 0.457668i) q^{4} +(0.908813 - 0.180774i) q^{5} +(-1.11188 - 1.66405i) q^{6} +(0.274197 - 1.37848i) q^{7} +(0.842281 + 2.03345i) q^{8} +(-0.569040 - 1.37378i) q^{9} +(-1.47867 - 0.294126i) q^{10} +(3.30396 + 0.289591i) q^{11} +(0.155319 + 0.780842i) q^{12} +(1.11553 + 1.11553i) q^{13} +(-1.27046 + 1.90138i) q^{14} +(1.05303 + 0.436178i) q^{15} -4.87556i q^{16} +(3.74754 - 1.71928i) q^{17} +2.41936i q^{18} +(-1.09531 - 0.453691i) q^{19} +(0.498670 + 0.333200i) q^{20} +(1.22246 - 1.22246i) q^{21} +(-4.78615 - 2.49248i) q^{22} +(5.77248 - 3.85705i) q^{23} +(-0.528173 + 2.65531i) q^{24} +(-3.82614 + 1.58484i) q^{25} +(-0.982270 - 2.37141i) q^{26} +(1.07674 - 5.41316i) q^{27} +(0.756378 - 0.505396i) q^{28} +(0.380882 - 0.0757622i) q^{29} +(-1.31131 - 1.31131i) q^{30} +(-3.10456 + 4.64630i) q^{31} +(-1.35115 + 3.26197i) q^{32} +(3.18122 + 2.55404i) q^{33} +(-6.70374 + 0.251025i) q^{34} -1.30235i q^{35} +(0.368306 - 0.889169i) q^{36} +(-0.388302 - 0.259455i) q^{37} +(1.36396 + 1.36396i) q^{38} +(0.378577 + 1.90323i) q^{39} +(1.13307 + 1.69576i) q^{40} +(-1.30051 + 6.53809i) q^{41} +(-2.59874 + 1.07643i) q^{42} +(-9.81295 + 4.06466i) q^{43} +(1.37958 + 1.64465i) q^{44} +(-0.765496 - 1.14565i) q^{45} +(-11.0786 + 2.20368i) q^{46} +(-2.38298 + 2.38298i) q^{47} +(3.33186 - 4.98648i) q^{48} +(4.64213 + 1.92283i) q^{49} +6.73817 q^{50} +(5.00772 + 0.802603i) q^{51} +1.02108i q^{52} +(-4.71220 + 11.3763i) q^{53} +(-4.98899 + 7.46655i) q^{54} +(3.05503 - 0.334086i) q^{55} +(3.03402 - 0.603503i) q^{56} +(-0.810183 - 1.21252i) q^{57} +(-0.619709 - 0.123268i) q^{58} +(-6.58196 + 2.72634i) q^{59} +(0.282312 + 0.681562i) q^{60} +(-6.87671 - 1.36786i) q^{61} +(7.55969 - 5.05122i) q^{62} +(-2.04976 + 0.407723i) q^{63} +(-2.83302 + 2.83302i) q^{64} +(1.21546 + 0.812146i) q^{65} +(-3.19172 - 5.81994i) q^{66} -11.1789i q^{67} +(2.50199 + 0.928272i) q^{68} +8.53963 q^{69} +(-0.810893 + 1.95767i) q^{70} +(1.29342 + 0.864235i) q^{71} +(2.31422 - 2.31422i) q^{72} +(-1.40371 - 7.05691i) q^{73} +(0.422143 + 0.631781i) q^{74} +(-4.99623 - 0.993812i) q^{75} +(-0.293647 - 0.708928i) q^{76} +(1.30513 - 4.47504i) q^{77} +(0.615957 - 3.09663i) q^{78} +(1.52995 - 1.02228i) q^{79} +(-0.881376 - 4.43097i) q^{80} +(1.64614 - 1.64614i) q^{81} +(6.02577 - 9.01820i) q^{82} +(2.30435 - 5.56319i) q^{83} +1.11896 q^{84} +(3.09502 - 2.23996i) q^{85} +17.2815 q^{86} +(0.441322 + 0.182802i) q^{87} +(2.19399 + 6.96234i) q^{88} +(5.79966 + 5.79966i) q^{89} +(0.437357 + 2.19874i) q^{90} +(1.84360 - 1.23186i) q^{91} +(4.40713 + 0.876632i) q^{92} +(-6.35038 + 2.63041i) q^{93} +(5.06579 - 2.09832i) q^{94} +(-1.07745 - 0.214317i) q^{95} +(-3.61106 + 2.41283i) q^{96} +(-0.00173268 - 0.00871075i) q^{97} +(-5.78075 - 5.78075i) q^{98} +(-1.48225 - 4.70371i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q - 16 q^{3} - 16 q^{4} - 16 q^{5} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 128 q - 16 q^{3} - 16 q^{4} - 16 q^{5} - 16 q^{9} - 64 q^{12} + 16 q^{14} - 16 q^{15} - 16 q^{20} + 8 q^{22} - 32 q^{23} + 16 q^{26} + 32 q^{27} - 80 q^{31} - 16 q^{34} + 16 q^{36} + 16 q^{37} + 80 q^{38} - 112 q^{42} - 72 q^{44} - 16 q^{45} - 16 q^{47} + 32 q^{48} + 48 q^{49} - 16 q^{53} - 8 q^{55} - 16 q^{56} - 128 q^{58} + 48 q^{59} + 112 q^{60} + 48 q^{64} + 72 q^{66} - 192 q^{69} + 128 q^{70} - 16 q^{71} + 48 q^{75} + 8 q^{77} - 16 q^{78} + 112 q^{80} - 16 q^{82} + 32 q^{86} - 168 q^{88} - 16 q^{89} + 144 q^{91} - 176 q^{92} + 48 q^{93} + 48 q^{97} - 112 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/187\mathbb{Z}\right)^\times\).

\(n\) \(35\) \(122\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.50318 0.622639i −1.06291 0.440272i −0.218427 0.975853i \(-0.570093\pi\)
−0.844484 + 0.535581i \(0.820093\pi\)
\(3\) 1.02275 + 0.683380i 0.590485 + 0.394550i 0.814609 0.580011i \(-0.196952\pi\)
−0.224123 + 0.974561i \(0.571952\pi\)
\(4\) 0.457668 + 0.457668i 0.228834 + 0.228834i
\(5\) 0.908813 0.180774i 0.406434 0.0808447i 0.0123601 0.999924i \(-0.496066\pi\)
0.394073 + 0.919079i \(0.371066\pi\)
\(6\) −1.11188 1.66405i −0.453924 0.679346i
\(7\) 0.274197 1.37848i 0.103637 0.521017i −0.893737 0.448591i \(-0.851926\pi\)
0.997374 0.0724256i \(-0.0230740\pi\)
\(8\) 0.842281 + 2.03345i 0.297791 + 0.718932i
\(9\) −0.569040 1.37378i −0.189680 0.457928i
\(10\) −1.47867 0.294126i −0.467597 0.0930107i
\(11\) 3.30396 + 0.289591i 0.996181 + 0.0873149i
\(12\) 0.155319 + 0.780842i 0.0448368 + 0.225410i
\(13\) 1.11553 + 1.11553i 0.309391 + 0.309391i 0.844673 0.535282i \(-0.179795\pi\)
−0.535282 + 0.844673i \(0.679795\pi\)
\(14\) −1.27046 + 1.90138i −0.339546 + 0.508166i
\(15\) 1.05303 + 0.436178i 0.271890 + 0.112621i
\(16\) 4.87556i 1.21889i
\(17\) 3.74754 1.71928i 0.908913 0.416986i
\(18\) 2.41936i 0.570248i
\(19\) −1.09531 0.453691i −0.251281 0.104084i 0.253488 0.967339i \(-0.418422\pi\)
−0.504769 + 0.863255i \(0.668422\pi\)
\(20\) 0.498670 + 0.333200i 0.111506 + 0.0745059i
\(21\) 1.22246 1.22246i 0.266763 0.266763i
\(22\) −4.78615 2.49248i −1.02041 0.531399i
\(23\) 5.77248 3.85705i 1.20364 0.804250i 0.218477 0.975842i \(-0.429891\pi\)
0.985168 + 0.171592i \(0.0548912\pi\)
\(24\) −0.528173 + 2.65531i −0.107813 + 0.542012i
\(25\) −3.82614 + 1.58484i −0.765227 + 0.316967i
\(26\) −0.982270 2.37141i −0.192639 0.465072i
\(27\) 1.07674 5.41316i 0.207220 1.04176i
\(28\) 0.756378 0.505396i 0.142942 0.0955108i
\(29\) 0.380882 0.0757622i 0.0707281 0.0140687i −0.159599 0.987182i \(-0.551020\pi\)
0.230327 + 0.973113i \(0.426020\pi\)
\(30\) −1.31131 1.31131i −0.239412 0.239412i
\(31\) −3.10456 + 4.64630i −0.557595 + 0.834500i −0.997994 0.0633020i \(-0.979837\pi\)
0.440399 + 0.897802i \(0.354837\pi\)
\(32\) −1.35115 + 3.26197i −0.238852 + 0.576641i
\(33\) 3.18122 + 2.55404i 0.553780 + 0.444601i
\(34\) −6.70374 + 0.251025i −1.14968 + 0.0430505i
\(35\) 1.30235i 0.220137i
\(36\) 0.368306 0.889169i 0.0613843 0.148195i
\(37\) −0.388302 0.259455i −0.0638365 0.0426542i 0.523242 0.852184i \(-0.324722\pi\)
−0.587079 + 0.809530i \(0.699722\pi\)
\(38\) 1.36396 + 1.36396i 0.221264 + 0.221264i
\(39\) 0.378577 + 1.90323i 0.0606208 + 0.304761i
\(40\) 1.13307 + 1.69576i 0.179154 + 0.268123i
\(41\) −1.30051 + 6.53809i −0.203105 + 1.02108i 0.735878 + 0.677114i \(0.236770\pi\)
−0.938983 + 0.343964i \(0.888230\pi\)
\(42\) −2.59874 + 1.07643i −0.400994 + 0.166097i
\(43\) −9.81295 + 4.06466i −1.49646 + 0.619855i −0.972712 0.232018i \(-0.925467\pi\)
−0.523750 + 0.851872i \(0.675467\pi\)
\(44\) 1.37958 + 1.64465i 0.207980 + 0.247941i
\(45\) −0.765496 1.14565i −0.114113 0.170783i
\(46\) −11.0786 + 2.20368i −1.63346 + 0.324915i
\(47\) −2.38298 + 2.38298i −0.347593 + 0.347593i −0.859212 0.511619i \(-0.829046\pi\)
0.511619 + 0.859212i \(0.329046\pi\)
\(48\) 3.33186 4.98648i 0.480913 0.719737i
\(49\) 4.64213 + 1.92283i 0.663162 + 0.274691i
\(50\) 6.73817 0.952921
\(51\) 5.00772 + 0.802603i 0.701221 + 0.112387i
\(52\) 1.02108i 0.141599i
\(53\) −4.71220 + 11.3763i −0.647271 + 1.56265i 0.169401 + 0.985547i \(0.445817\pi\)
−0.816672 + 0.577103i \(0.804183\pi\)
\(54\) −4.98899 + 7.46655i −0.678915 + 1.01607i
\(55\) 3.05503 0.334086i 0.411940 0.0450482i
\(56\) 3.03402 0.603503i 0.405437 0.0806465i
\(57\) −0.810183 1.21252i −0.107311 0.160603i
\(58\) −0.619709 0.123268i −0.0813717 0.0161858i
\(59\) −6.58196 + 2.72634i −0.856898 + 0.354939i −0.767493 0.641057i \(-0.778496\pi\)
−0.0894042 + 0.995995i \(0.528496\pi\)
\(60\) 0.282312 + 0.681562i 0.0364463 + 0.0879892i
\(61\) −6.87671 1.36786i −0.880472 0.175137i −0.265903 0.964000i \(-0.585670\pi\)
−0.614569 + 0.788863i \(0.710670\pi\)
\(62\) 7.55969 5.05122i 0.960081 0.641506i
\(63\) −2.04976 + 0.407723i −0.258246 + 0.0513683i
\(64\) −2.83302 + 2.83302i −0.354128 + 0.354128i
\(65\) 1.21546 + 0.812146i 0.150760 + 0.100734i
\(66\) −3.19172 5.81994i −0.392874 0.716385i
\(67\) 11.1789i 1.36572i −0.730548 0.682862i \(-0.760735\pi\)
0.730548 0.682862i \(-0.239265\pi\)
\(68\) 2.50199 + 0.928272i 0.303411 + 0.112570i
\(69\) 8.53963 1.02805
\(70\) −0.810893 + 1.95767i −0.0969203 + 0.233986i
\(71\) 1.29342 + 0.864235i 0.153501 + 0.102566i 0.629949 0.776637i \(-0.283076\pi\)
−0.476448 + 0.879203i \(0.658076\pi\)
\(72\) 2.31422 2.31422i 0.272734 0.272734i
\(73\) −1.40371 7.05691i −0.164291 0.825948i −0.971748 0.236021i \(-0.924156\pi\)
0.807457 0.589927i \(-0.200844\pi\)
\(74\) 0.422143 + 0.631781i 0.0490731 + 0.0734431i
\(75\) −4.99623 0.993812i −0.576915 0.114755i
\(76\) −0.293647 0.708928i −0.0336837 0.0813196i
\(77\) 1.30513 4.47504i 0.148733 0.509978i
\(78\) 0.615957 3.09663i 0.0697434 0.350624i
\(79\) 1.52995 1.02228i 0.172133 0.115016i −0.466519 0.884511i \(-0.654492\pi\)
0.638652 + 0.769495i \(0.279492\pi\)
\(80\) −0.881376 4.43097i −0.0985408 0.495398i
\(81\) 1.64614 1.64614i 0.182904 0.182904i
\(82\) 6.02577 9.01820i 0.665435 0.995894i
\(83\) 2.30435 5.56319i 0.252935 0.610640i −0.745503 0.666502i \(-0.767791\pi\)
0.998438 + 0.0558623i \(0.0177908\pi\)
\(84\) 1.11896 0.122089
\(85\) 3.09502 2.23996i 0.335702 0.242958i
\(86\) 17.2815 1.86351
\(87\) 0.441322 + 0.182802i 0.0473147 + 0.0195984i
\(88\) 2.19399 + 6.96234i 0.233880 + 0.742187i
\(89\) 5.79966 + 5.79966i 0.614762 + 0.614762i 0.944183 0.329421i \(-0.106853\pi\)
−0.329421 + 0.944183i \(0.606853\pi\)
\(90\) 0.437357 + 2.19874i 0.0461015 + 0.231768i
\(91\) 1.84360 1.23186i 0.193262 0.129134i
\(92\) 4.40713 + 0.876632i 0.459475 + 0.0913952i
\(93\) −6.35038 + 2.63041i −0.658503 + 0.272761i
\(94\) 5.06579 2.09832i 0.522496 0.216425i
\(95\) −1.07745 0.214317i −0.110544 0.0219885i
\(96\) −3.61106 + 2.41283i −0.368552 + 0.246259i
\(97\) −0.00173268 0.00871075i −0.000175927 0.000884443i 0.980697 0.195533i \(-0.0626435\pi\)
−0.980873 + 0.194648i \(0.937644\pi\)
\(98\) −5.78075 5.78075i −0.583944 0.583944i
\(99\) −1.48225 4.70371i −0.148972 0.472741i
\(100\) −2.47643 1.02577i −0.247643 0.102577i
\(101\) 1.65002 0.164183 0.0820914 0.996625i \(-0.473840\pi\)
0.0820914 + 0.996625i \(0.473840\pi\)
\(102\) −7.02779 4.32446i −0.695855 0.428186i
\(103\) 2.99219 0.294829 0.147414 0.989075i \(-0.452905\pi\)
0.147414 + 0.989075i \(0.452905\pi\)
\(104\) −1.32878 + 3.20795i −0.130297 + 0.314565i
\(105\) 0.889999 1.33198i 0.0868550 0.129988i
\(106\) 14.1666 14.1666i 1.37598 1.37598i
\(107\) −3.04982 15.3325i −0.294837 1.48225i −0.789817 0.613342i \(-0.789825\pi\)
0.494980 0.868904i \(-0.335175\pi\)
\(108\) 2.97022 1.98464i 0.285810 0.190972i
\(109\) −2.36968 + 11.9132i −0.226975 + 1.14108i 0.684275 + 0.729224i \(0.260119\pi\)
−0.911250 + 0.411854i \(0.864881\pi\)
\(110\) −4.80029 1.39999i −0.457690 0.133484i
\(111\) −0.219830 0.530716i −0.0208653 0.0503734i
\(112\) −6.72087 1.33686i −0.635062 0.126322i
\(113\) 4.38072 + 6.55621i 0.412103 + 0.616756i 0.978220 0.207569i \(-0.0665550\pi\)
−0.566117 + 0.824325i \(0.691555\pi\)
\(114\) 0.462889 + 2.32710i 0.0433535 + 0.217953i
\(115\) 4.54885 4.54885i 0.424182 0.424182i
\(116\) 0.208992 + 0.139644i 0.0194044 + 0.0129656i
\(117\) 0.897713 2.16727i 0.0829936 0.200364i
\(118\) 11.5914 1.06708
\(119\) −1.34243 5.63734i −0.123060 0.516774i
\(120\) 2.50866i 0.229008i
\(121\) 10.8323 + 1.91359i 0.984752 + 0.173963i
\(122\) 9.48527 + 6.33786i 0.858756 + 0.573803i
\(123\) −5.79809 + 5.79809i −0.522796 + 0.522796i
\(124\) −3.54732 + 0.705606i −0.318559 + 0.0633653i
\(125\) −7.04302 + 4.70599i −0.629947 + 0.420917i
\(126\) 3.33504 + 0.663380i 0.297109 + 0.0590986i
\(127\) 0.171998 + 0.415239i 0.0152623 + 0.0368465i 0.931327 0.364184i \(-0.118652\pi\)
−0.916065 + 0.401031i \(0.868652\pi\)
\(128\) 12.5464 5.19691i 1.10896 0.459346i
\(129\) −12.8139 2.54884i −1.12820 0.224413i
\(130\) −1.32139 1.97760i −0.115894 0.173447i
\(131\) −19.1292 + 3.80504i −1.67133 + 0.332448i −0.937791 0.347201i \(-0.887132\pi\)
−0.733538 + 0.679649i \(0.762132\pi\)
\(132\) 0.287043 + 2.62485i 0.0249839 + 0.228464i
\(133\) −0.925734 + 1.38546i −0.0802713 + 0.120135i
\(134\) −6.96044 + 16.8040i −0.601290 + 1.45164i
\(135\) 5.11420i 0.440160i
\(136\) 6.65254 + 6.17231i 0.570451 + 0.529271i
\(137\) −7.06706 −0.603779 −0.301890 0.953343i \(-0.597617\pi\)
−0.301890 + 0.953343i \(0.597617\pi\)
\(138\) −12.8366 5.31711i −1.09273 0.452622i
\(139\) −6.12182 + 9.16196i −0.519246 + 0.777107i −0.994720 0.102623i \(-0.967277\pi\)
0.475474 + 0.879730i \(0.342277\pi\)
\(140\) 0.596044 0.596044i 0.0503749 0.0503749i
\(141\) −4.06567 + 0.808712i −0.342391 + 0.0681058i
\(142\) −1.40614 2.10444i −0.118001 0.176600i
\(143\) 3.36260 + 4.00870i 0.281195 + 0.335224i
\(144\) −6.69797 + 2.77439i −0.558164 + 0.231199i
\(145\) 0.332455 0.137707i 0.0276089 0.0114360i
\(146\) −2.28388 + 11.4818i −0.189015 + 0.950243i
\(147\) 3.43372 + 5.13892i 0.283208 + 0.423851i
\(148\) −0.0589692 0.296458i −0.00484724 0.0243687i
\(149\) 13.8538 + 13.8538i 1.13495 + 1.13495i 0.989343 + 0.145605i \(0.0465127\pi\)
0.145605 + 0.989343i \(0.453487\pi\)
\(150\) 6.89146 + 4.60473i 0.562686 + 0.375974i
\(151\) −2.24707 + 5.42492i −0.182864 + 0.441474i −0.988555 0.150864i \(-0.951795\pi\)
0.805690 + 0.592337i \(0.201795\pi\)
\(152\) 2.60938i 0.211649i
\(153\) −4.49442 4.16998i −0.363352 0.337123i
\(154\) −4.74818 + 5.91418i −0.382619 + 0.476578i
\(155\) −1.98153 + 4.78384i −0.159161 + 0.384247i
\(156\) −0.697787 + 1.04431i −0.0558677 + 0.0836119i
\(157\) 1.00346 + 1.00346i 0.0800851 + 0.0800851i 0.746015 0.665930i \(-0.231965\pi\)
−0.665930 + 0.746015i \(0.731965\pi\)
\(158\) −2.93631 + 0.584069i −0.233601 + 0.0464660i
\(159\) −12.5937 + 8.41485i −0.998747 + 0.667341i
\(160\) −0.638265 + 3.20878i −0.0504593 + 0.253676i
\(161\) −3.73407 9.01484i −0.294286 0.710469i
\(162\) −3.49940 + 1.44950i −0.274939 + 0.113883i
\(163\) 3.43589 17.2734i 0.269120 1.35296i −0.575594 0.817736i \(-0.695229\pi\)
0.844713 0.535219i \(-0.179771\pi\)
\(164\) −3.58748 + 2.39707i −0.280135 + 0.187180i
\(165\) 3.35284 + 1.74606i 0.261018 + 0.135931i
\(166\) −6.92772 + 6.92772i −0.537695 + 0.537695i
\(167\) 13.4685 + 8.99937i 1.04222 + 0.696392i 0.954030 0.299711i \(-0.0968903\pi\)
0.0881943 + 0.996103i \(0.471890\pi\)
\(168\) 3.51546 + 1.45615i 0.271224 + 0.112345i
\(169\) 10.5112i 0.808554i
\(170\) −6.04706 + 1.44000i −0.463789 + 0.110443i
\(171\) 1.76288i 0.134811i
\(172\) −6.35134 2.63081i −0.484285 0.200598i
\(173\) 6.52949 9.77207i 0.496428 0.742957i −0.495658 0.868518i \(-0.665073\pi\)
0.992086 + 0.125561i \(0.0400731\pi\)
\(174\) −0.549569 0.549569i −0.0416627 0.0416627i
\(175\) 1.13555 + 5.70881i 0.0858397 + 0.431545i
\(176\) 1.41192 16.1086i 0.106427 1.21423i
\(177\) −8.59482 1.70962i −0.646026 0.128503i
\(178\) −5.10686 12.3290i −0.382775 0.924101i
\(179\) −1.96651 4.74757i −0.146984 0.354850i 0.833191 0.552985i \(-0.186511\pi\)
−0.980175 + 0.198135i \(0.936511\pi\)
\(180\) 0.173982 0.874669i 0.0129679 0.0651940i
\(181\) −1.86079 2.78487i −0.138312 0.206998i 0.755847 0.654748i \(-0.227225\pi\)
−0.894159 + 0.447750i \(0.852225\pi\)
\(182\) −3.53828 + 0.703807i −0.262275 + 0.0521697i
\(183\) −6.09839 6.09839i −0.450806 0.450806i
\(184\) 12.7051 + 8.48930i 0.936635 + 0.625840i
\(185\) −0.399797 0.165601i −0.0293937 0.0121753i
\(186\) 11.1836 0.820020
\(187\) 12.8796 4.59517i 0.941850 0.336032i
\(188\) −2.18123 −0.159082
\(189\) −7.16669 2.96854i −0.521300 0.215930i
\(190\) 1.48616 + 0.993018i 0.107817 + 0.0720411i
\(191\) −17.8337 17.8337i −1.29040 1.29040i −0.934537 0.355867i \(-0.884186\pi\)
−0.355867 0.934537i \(-0.615814\pi\)
\(192\) −4.83350 + 0.961444i −0.348828 + 0.0693862i
\(193\) 4.75083 + 7.11013i 0.341973 + 0.511798i 0.962098 0.272705i \(-0.0879182\pi\)
−0.620125 + 0.784503i \(0.712918\pi\)
\(194\) −0.00281912 + 0.0141727i −0.000202401 + 0.00101754i
\(195\) 0.688111 + 1.66125i 0.0492766 + 0.118964i
\(196\) 1.24454 + 3.00458i 0.0888955 + 0.214613i
\(197\) 22.9077 + 4.55662i 1.63210 + 0.324646i 0.924272 0.381735i \(-0.124673\pi\)
0.707832 + 0.706381i \(0.249673\pi\)
\(198\) −0.700623 + 7.99345i −0.0497911 + 0.568070i
\(199\) 2.01753 + 10.1428i 0.143019 + 0.719006i 0.984032 + 0.177991i \(0.0569597\pi\)
−0.841013 + 0.541015i \(0.818040\pi\)
\(200\) −6.44536 6.44536i −0.455756 0.455756i
\(201\) 7.63946 11.4333i 0.538846 0.806440i
\(202\) −2.48028 1.02736i −0.174512 0.0722851i
\(203\) 0.545812i 0.0383085i
\(204\) 1.92455 + 2.65920i 0.134745 + 0.186181i
\(205\) 6.17700i 0.431420i
\(206\) −4.49781 1.86305i −0.313377 0.129805i
\(207\) −8.58352 5.73532i −0.596596 0.398633i
\(208\) 5.43882 5.43882i 0.377114 0.377114i
\(209\) −3.48747 1.81617i −0.241233 0.125627i
\(210\) −2.16717 + 1.44806i −0.149549 + 0.0999256i
\(211\) −0.238835 + 1.20070i −0.0164421 + 0.0826598i −0.988135 0.153587i \(-0.950917\pi\)
0.971693 + 0.236247i \(0.0759174\pi\)
\(212\) −7.36318 + 3.04993i −0.505705 + 0.209470i
\(213\) 0.732244 + 1.76779i 0.0501725 + 0.121127i
\(214\) −4.96216 + 24.9465i −0.339206 + 1.70531i
\(215\) −8.18336 + 5.46794i −0.558100 + 0.372911i
\(216\) 11.9143 2.36990i 0.810664 0.161251i
\(217\) 5.55357 + 5.55357i 0.377001 + 0.377001i
\(218\) 10.9797 16.4323i 0.743639 1.11293i
\(219\) 3.38691 8.17672i 0.228866 0.552531i
\(220\) 1.55109 + 1.24529i 0.104575 + 0.0839574i
\(221\) 6.09838 + 2.26258i 0.410222 + 0.152198i
\(222\) 0.934639i 0.0627288i
\(223\) 5.79003 13.9784i 0.387729 0.936061i −0.602691 0.797975i \(-0.705905\pi\)
0.990420 0.138086i \(-0.0440951\pi\)
\(224\) 4.12608 + 2.75696i 0.275686 + 0.184207i
\(225\) 4.35445 + 4.35445i 0.290297 + 0.290297i
\(226\) −2.50287 12.5828i −0.166489 0.836995i
\(227\) −2.77620 4.15488i −0.184263 0.275769i 0.727826 0.685762i \(-0.240531\pi\)
−0.912089 + 0.409993i \(0.865531\pi\)
\(228\) 0.184139 0.925729i 0.0121949 0.0613079i
\(229\) −3.79552 + 1.57216i −0.250815 + 0.103891i −0.504549 0.863383i \(-0.668341\pi\)
0.253734 + 0.967274i \(0.418341\pi\)
\(230\) −9.67005 + 4.00546i −0.637624 + 0.264113i
\(231\) 4.39297 3.68495i 0.289036 0.242452i
\(232\) 0.474868 + 0.710690i 0.0311766 + 0.0466591i
\(233\) −3.45041 + 0.686329i −0.226044 + 0.0449629i −0.306812 0.951770i \(-0.599262\pi\)
0.0807688 + 0.996733i \(0.474262\pi\)
\(234\) −2.69886 + 2.69886i −0.176430 + 0.176430i
\(235\) −1.73490 + 2.59646i −0.113172 + 0.169374i
\(236\) −4.26011 1.76460i −0.277310 0.114865i
\(237\) 2.26337 0.147022
\(238\) −1.49211 + 9.30980i −0.0967191 + 0.603465i
\(239\) 5.40214i 0.349436i 0.984619 + 0.174718i \(0.0559013\pi\)
−0.984619 + 0.174718i \(0.944099\pi\)
\(240\) 2.12661 5.13410i 0.137272 0.331404i
\(241\) −7.94413 + 11.8892i −0.511727 + 0.765853i −0.993907 0.110219i \(-0.964845\pi\)
0.482181 + 0.876072i \(0.339845\pi\)
\(242\) −15.0914 9.62108i −0.970113 0.618466i
\(243\) −13.4309 + 2.67158i −0.861596 + 0.171382i
\(244\) −2.52122 3.77328i −0.161405 0.241559i
\(245\) 4.56643 + 0.908319i 0.291739 + 0.0580304i
\(246\) 12.3257 5.10548i 0.785859 0.325513i
\(247\) −0.715740 1.72795i −0.0455414 0.109947i
\(248\) −12.0629 2.39946i −0.765995 0.152366i
\(249\) 6.15855 4.11501i 0.390282 0.260778i
\(250\) 13.5171 2.68872i 0.854896 0.170049i
\(251\) 6.65538 6.65538i 0.420084 0.420084i −0.465149 0.885233i \(-0.653999\pi\)
0.885233 + 0.465149i \(0.153999\pi\)
\(252\) −1.12471 0.751510i −0.0708503 0.0473407i
\(253\) 20.1890 11.0719i 1.26927 0.696082i
\(254\) 0.731273i 0.0458841i
\(255\) 4.69617 0.175851i 0.294086 0.0110122i
\(256\) −14.0824 −0.880151
\(257\) −5.21273 + 12.5846i −0.325161 + 0.785008i 0.673777 + 0.738935i \(0.264671\pi\)
−0.998938 + 0.0460733i \(0.985329\pi\)
\(258\) 17.6746 + 11.8098i 1.10038 + 0.735247i
\(259\) −0.464125 + 0.464125i −0.0288394 + 0.0288394i
\(260\) 0.184585 + 0.927973i 0.0114475 + 0.0575504i
\(261\) −0.320818 0.480138i −0.0198581 0.0297198i
\(262\) 31.1239 + 6.19093i 1.92284 + 0.382477i
\(263\) −11.4473 27.6362i −0.705869 1.70412i −0.710074 0.704127i \(-0.751338\pi\)
0.00420456 0.999991i \(-0.498662\pi\)
\(264\) −2.51401 + 8.62006i −0.154727 + 0.530528i
\(265\) −2.22598 + 11.1907i −0.136741 + 0.687442i
\(266\) 2.25419 1.50620i 0.138213 0.0923511i
\(267\) 1.96823 + 9.89497i 0.120454 + 0.605562i
\(268\) 5.11624 5.11624i 0.312524 0.312524i
\(269\) −16.8403 + 25.2033i −1.02677 + 1.53667i −0.195576 + 0.980689i \(0.562658\pi\)
−0.831194 + 0.555982i \(0.812342\pi\)
\(270\) −3.18430 + 7.68758i −0.193790 + 0.467851i
\(271\) −15.5977 −0.947493 −0.473746 0.880661i \(-0.657099\pi\)
−0.473746 + 0.880661i \(0.657099\pi\)
\(272\) −8.38245 18.2714i −0.508261 1.10786i
\(273\) 2.72737 0.165068
\(274\) 10.6231 + 4.40023i 0.641764 + 0.265827i
\(275\) −13.1003 + 4.12822i −0.789981 + 0.248941i
\(276\) 3.90832 + 3.90832i 0.235253 + 0.235253i
\(277\) 1.96603 + 9.88389i 0.118127 + 0.593865i 0.993821 + 0.110998i \(0.0354047\pi\)
−0.875694 + 0.482867i \(0.839595\pi\)
\(278\) 14.9068 9.96042i 0.894052 0.597386i
\(279\) 8.14963 + 1.62106i 0.487906 + 0.0970505i
\(280\) 2.64826 1.09694i 0.158264 0.0655549i
\(281\) 13.0023 5.38574i 0.775653 0.321286i 0.0404934 0.999180i \(-0.487107\pi\)
0.735160 + 0.677894i \(0.237107\pi\)
\(282\) 6.61498 + 1.31580i 0.393917 + 0.0783549i
\(283\) −18.4021 + 12.2959i −1.09389 + 0.730916i −0.965395 0.260793i \(-0.916016\pi\)
−0.128499 + 0.991710i \(0.541016\pi\)
\(284\) 0.196424 + 0.987490i 0.0116556 + 0.0585967i
\(285\) −0.955498 0.955498i −0.0565988 0.0565988i
\(286\) −2.55864 8.11950i −0.151296 0.480116i
\(287\) 8.65603 + 3.58545i 0.510949 + 0.211642i
\(288\) 5.25011 0.309365
\(289\) 11.0882 12.8861i 0.652245 0.758009i
\(290\) −0.585483 −0.0343807
\(291\) 0.00418066 0.0100930i 0.000245075 0.000591662i
\(292\) 2.58729 3.87215i 0.151410 0.226601i
\(293\) −16.9828 + 16.9828i −0.992144 + 0.992144i −0.999969 0.00782509i \(-0.997509\pi\)
0.00782509 + 0.999969i \(0.497509\pi\)
\(294\) −1.96181 9.86271i −0.114415 0.575205i
\(295\) −5.48892 + 3.66758i −0.319577 + 0.213535i
\(296\) 0.200529 1.00813i 0.0116555 0.0585962i
\(297\) 5.12512 17.5730i 0.297390 1.01969i
\(298\) −12.1989 29.4507i −0.706663 1.70603i
\(299\) 10.7420 + 2.13671i 0.621225 + 0.123569i
\(300\) −1.83178 2.74145i −0.105758 0.158278i
\(301\) 2.91237 + 14.6415i 0.167866 + 0.843921i
\(302\) 6.75553 6.75553i 0.388737 0.388737i
\(303\) 1.68756 + 1.12759i 0.0969475 + 0.0647783i
\(304\) −2.21200 + 5.34024i −0.126867 + 0.306284i
\(305\) −6.49692 −0.372012
\(306\) 4.15955 + 9.06664i 0.237786 + 0.518305i
\(307\) 24.5792i 1.40281i −0.712765 0.701403i \(-0.752557\pi\)
0.712765 0.701403i \(-0.247443\pi\)
\(308\) 2.64540 1.45077i 0.150736 0.0826650i
\(309\) 3.06026 + 2.04480i 0.174092 + 0.116325i
\(310\) 5.95721 5.95721i 0.338347 0.338347i
\(311\) 12.3982 2.46615i 0.703035 0.139842i 0.169388 0.985549i \(-0.445821\pi\)
0.533647 + 0.845707i \(0.320821\pi\)
\(312\) −3.55125 + 2.37287i −0.201050 + 0.134337i
\(313\) 12.2503 + 2.43674i 0.692430 + 0.137733i 0.528746 0.848780i \(-0.322662\pi\)
0.163684 + 0.986513i \(0.447662\pi\)
\(314\) −0.883595 2.13319i −0.0498641 0.120383i
\(315\) −1.78915 + 0.741089i −0.100807 + 0.0417556i
\(316\) 1.16808 + 0.232345i 0.0657095 + 0.0130704i
\(317\) 3.15882 + 4.72750i 0.177417 + 0.265523i 0.909511 0.415681i \(-0.136457\pi\)
−0.732094 + 0.681204i \(0.761457\pi\)
\(318\) 24.1701 4.80773i 1.35539 0.269604i
\(319\) 1.28036 0.140015i 0.0716863 0.00783934i
\(320\) −2.06255 + 3.08682i −0.115300 + 0.172559i
\(321\) 7.35871 17.7655i 0.410723 0.991573i
\(322\) 15.8759i 0.884731i
\(323\) −4.88473 + 0.182912i −0.271794 + 0.0101775i
\(324\) 1.50677 0.0837095
\(325\) −6.03608 2.50023i −0.334822 0.138688i
\(326\) −15.9199 + 23.8257i −0.881719 + 1.31959i
\(327\) −10.5648 + 10.5648i −0.584237 + 0.584237i
\(328\) −14.3902 + 2.86240i −0.794568 + 0.158049i
\(329\) 2.63148 + 3.93829i 0.145078 + 0.217125i
\(330\) −3.95277 4.71226i −0.217593 0.259401i
\(331\) 5.87600 2.43392i 0.322974 0.133780i −0.215305 0.976547i \(-0.569075\pi\)
0.538279 + 0.842767i \(0.319075\pi\)
\(332\) 3.60072 1.49147i 0.197615 0.0818550i
\(333\) −0.135476 + 0.681084i −0.00742404 + 0.0373232i
\(334\) −14.6423 21.9137i −0.801190 1.19907i
\(335\) −2.02086 10.1596i −0.110411 0.555076i
\(336\) −5.96018 5.96018i −0.325155 0.325155i
\(337\) −22.1509 14.8007i −1.20663 0.806247i −0.221022 0.975269i \(-0.570939\pi\)
−0.985612 + 0.169022i \(0.945939\pi\)
\(338\) −6.54469 + 15.8003i −0.355984 + 0.859421i
\(339\) 9.69906i 0.526781i
\(340\) 2.44165 + 0.391331i 0.132417 + 0.0212229i
\(341\) −11.6029 + 14.4521i −0.628330 + 0.782626i
\(342\) 1.09764 2.64994i 0.0593536 0.143292i
\(343\) 9.38937 14.0522i 0.506978 0.758747i
\(344\) −16.5305 16.5305i −0.891266 0.891266i
\(345\) 7.76093 1.54375i 0.417834 0.0831124i
\(346\) −15.8995 + 10.6237i −0.854762 + 0.571134i
\(347\) 1.06412 5.34970i 0.0571251 0.287187i −0.941654 0.336582i \(-0.890729\pi\)
0.998779 + 0.0493945i \(0.0157292\pi\)
\(348\) 0.118317 + 0.285641i 0.00634243 + 0.0153120i
\(349\) 24.0650 9.96804i 1.28817 0.533577i 0.369729 0.929140i \(-0.379450\pi\)
0.918439 + 0.395563i \(0.129450\pi\)
\(350\) 1.84758 9.28843i 0.0987575 0.496487i
\(351\) 7.23966 4.83738i 0.386424 0.258200i
\(352\) −5.40879 + 10.3861i −0.288289 + 0.553583i
\(353\) 17.7520 17.7520i 0.944845 0.944845i −0.0537113 0.998557i \(-0.517105\pi\)
0.998557 + 0.0537113i \(0.0171051\pi\)
\(354\) 11.8551 + 7.92134i 0.630093 + 0.421014i
\(355\) 1.33171 + 0.551611i 0.0706797 + 0.0292765i
\(356\) 5.30864i 0.281357i
\(357\) 2.47947 6.68298i 0.131228 0.353701i
\(358\) 8.36089i 0.441887i
\(359\) 5.25699 + 2.17752i 0.277454 + 0.114925i 0.517071 0.855942i \(-0.327022\pi\)
−0.239618 + 0.970867i \(0.577022\pi\)
\(360\) 1.68485 2.52155i 0.0887991 0.132897i
\(361\) −12.4412 12.4412i −0.654798 0.654798i
\(362\) 1.06314 + 5.34478i 0.0558775 + 0.280915i
\(363\) 9.77100 + 9.35969i 0.512845 + 0.491256i
\(364\) 1.40754 + 0.279977i 0.0737752 + 0.0146748i
\(365\) −2.55141 6.15966i −0.133547 0.322411i
\(366\) 5.36990 + 12.9641i 0.280689 + 0.677644i
\(367\) −4.79028 + 24.0824i −0.250051 + 1.25709i 0.627883 + 0.778308i \(0.283922\pi\)
−0.877934 + 0.478782i \(0.841078\pi\)
\(368\) −18.8053 28.1441i −0.980292 1.46711i
\(369\) 9.72196 1.93382i 0.506105 0.100671i
\(370\) 0.497859 + 0.497859i 0.0258824 + 0.0258824i
\(371\) 14.3899 + 9.61501i 0.747086 + 0.499187i
\(372\) −4.11022 1.70251i −0.213105 0.0882710i
\(373\) 14.1476 0.732535 0.366268 0.930510i \(-0.380635\pi\)
0.366268 + 0.930510i \(0.380635\pi\)
\(374\) −22.2216 1.11196i −1.14905 0.0574983i
\(375\) −10.4192 −0.538047
\(376\) −6.85279 2.83852i −0.353406 0.146385i
\(377\) 0.509399 + 0.340369i 0.0262354 + 0.0175299i
\(378\) 8.92453 + 8.92453i 0.459028 + 0.459028i
\(379\) 0.869700 0.172994i 0.0446735 0.00888611i −0.172703 0.984974i \(-0.555250\pi\)
0.217376 + 0.976088i \(0.430250\pi\)
\(380\) −0.395026 0.591199i −0.0202644 0.0303279i
\(381\) −0.107855 + 0.542225i −0.00552560 + 0.0277790i
\(382\) 15.7034 + 37.9114i 0.803456 + 1.93971i
\(383\) 14.3320 + 34.6005i 0.732330 + 1.76800i 0.634673 + 0.772781i \(0.281135\pi\)
0.0976569 + 0.995220i \(0.468865\pi\)
\(384\) 16.3833 + 3.25885i 0.836059 + 0.166303i
\(385\) 0.377148 4.30291i 0.0192213 0.219296i
\(386\) −2.71433 13.6459i −0.138156 0.694557i
\(387\) 11.1679 + 11.1679i 0.567698 + 0.567698i
\(388\) 0.00319364 0.00477963i 0.000162133 0.000242649i
\(389\) −28.8669 11.9571i −1.46361 0.606247i −0.498219 0.867051i \(-0.666012\pi\)
−0.965392 + 0.260804i \(0.916012\pi\)
\(390\) 2.92560i 0.148144i
\(391\) 15.0013 24.3789i 0.758647 1.23290i
\(392\) 11.0591i 0.558568i
\(393\) −22.1647 9.18093i −1.11806 0.463117i
\(394\) −31.5973 21.1126i −1.59185 1.06364i
\(395\) 1.20564 1.20564i 0.0606623 0.0606623i
\(396\) 1.47436 2.83112i 0.0740895 0.142269i
\(397\) −25.3176 + 16.9167i −1.27065 + 0.849024i −0.993723 0.111866i \(-0.964317\pi\)
−0.276931 + 0.960890i \(0.589317\pi\)
\(398\) 3.28259 16.5027i 0.164542 0.827207i
\(399\) −1.89359 + 0.784351i −0.0947981 + 0.0392667i
\(400\) 7.72697 + 18.6546i 0.386349 + 0.932728i
\(401\) 2.28627 11.4939i 0.114171 0.573977i −0.880772 0.473540i \(-0.842976\pi\)
0.994943 0.100437i \(-0.0320240\pi\)
\(402\) −18.6023 + 12.4297i −0.927798 + 0.619935i
\(403\) −8.64628 + 1.71985i −0.430702 + 0.0856720i
\(404\) 0.755160 + 0.755160i 0.0375706 + 0.0375706i
\(405\) 1.19845 1.79361i 0.0595516 0.0891253i
\(406\) −0.339844 + 0.820456i −0.0168662 + 0.0407186i
\(407\) −1.20780 0.969679i −0.0598684 0.0480652i
\(408\) 2.58586 + 10.8589i 0.128019 + 0.537598i
\(409\) 21.5002i 1.06312i −0.847021 0.531559i \(-0.821606\pi\)
0.847021 0.531559i \(-0.178394\pi\)
\(410\) 3.84604 9.28516i 0.189942 0.458561i
\(411\) −7.22783 4.82948i −0.356523 0.238221i
\(412\) 1.36943 + 1.36943i 0.0674669 + 0.0674669i
\(413\) 1.95345 + 9.82065i 0.0961229 + 0.483243i
\(414\) 9.33157 + 13.9657i 0.458622 + 0.686376i
\(415\) 1.08854 5.47247i 0.0534344 0.268633i
\(416\) −5.14606 + 2.13157i −0.252306 + 0.104509i
\(417\) −12.5222 + 5.18686i −0.613215 + 0.254002i
\(418\) 4.11148 + 4.90147i 0.201099 + 0.239739i
\(419\) 8.10809 + 12.1346i 0.396106 + 0.592815i 0.974896 0.222662i \(-0.0714747\pi\)
−0.578789 + 0.815477i \(0.696475\pi\)
\(420\) 1.01693 0.202280i 0.0496210 0.00987024i
\(421\) −18.7982 + 18.7982i −0.916166 + 0.916166i −0.996748 0.0805820i \(-0.974322\pi\)
0.0805820 + 0.996748i \(0.474322\pi\)
\(422\) 1.10662 1.65617i 0.0538693 0.0806210i
\(423\) 4.62970 + 1.91769i 0.225104 + 0.0932411i
\(424\) −27.1020 −1.31619
\(425\) −11.6138 + 12.5174i −0.563354 + 0.607185i
\(426\) 3.11324i 0.150837i
\(427\) −3.77114 + 9.10435i −0.182498 + 0.440590i
\(428\) 5.62138 8.41300i 0.271720 0.406657i
\(429\) 0.699642 + 6.39783i 0.0337790 + 0.308890i
\(430\) 15.7056 3.12405i 0.757393 0.150655i
\(431\) 11.3760 + 17.0253i 0.547960 + 0.820081i 0.997312 0.0732743i \(-0.0233449\pi\)
−0.449351 + 0.893355i \(0.648345\pi\)
\(432\) −26.3922 5.24973i −1.26979 0.252578i
\(433\) 26.2767 10.8842i 1.26278 0.523060i 0.352017 0.935994i \(-0.385496\pi\)
0.910761 + 0.412934i \(0.135496\pi\)
\(434\) −4.89017 11.8059i −0.234736 0.566702i
\(435\) 0.434125 + 0.0863528i 0.0208147 + 0.00414030i
\(436\) −6.53683 + 4.36777i −0.313057 + 0.209178i
\(437\) −8.07255 + 1.60573i −0.386162 + 0.0768125i
\(438\) −10.1823 + 10.1823i −0.486529 + 0.486529i
\(439\) −1.41463 0.945224i −0.0675165 0.0451131i 0.521354 0.853341i \(-0.325427\pi\)
−0.588870 + 0.808227i \(0.700427\pi\)
\(440\) 3.25254 + 5.93085i 0.155059 + 0.282742i
\(441\) 7.47146i 0.355784i
\(442\) −7.75822 7.19817i −0.369021 0.342382i
\(443\) −7.85701 −0.373298 −0.186649 0.982427i \(-0.559763\pi\)
−0.186649 + 0.982427i \(0.559763\pi\)
\(444\) 0.142283 0.343501i 0.00675245 0.0163018i
\(445\) 6.31923 + 4.22238i 0.299560 + 0.200160i
\(446\) −17.4070 + 17.4070i −0.824243 + 0.824243i
\(447\) 4.70157 + 23.6364i 0.222377 + 1.11796i
\(448\) 3.12846 + 4.68207i 0.147806 + 0.221207i
\(449\) −4.26193 0.847750i −0.201133 0.0400078i 0.0934956 0.995620i \(-0.470196\pi\)
−0.294628 + 0.955612i \(0.595196\pi\)
\(450\) −3.83429 9.25679i −0.180750 0.436369i
\(451\) −6.19019 + 21.2249i −0.291485 + 0.999444i
\(452\) −0.995653 + 5.00549i −0.0468316 + 0.235438i
\(453\) −6.00548 + 4.01273i −0.282162 + 0.188535i
\(454\) 1.58615 + 7.97412i 0.0744417 + 0.374244i
\(455\) 1.45280 1.45280i 0.0681085 0.0681085i
\(456\) 1.78320 2.66875i 0.0835060 0.124976i
\(457\) −6.77015 + 16.3446i −0.316694 + 0.764567i 0.682731 + 0.730670i \(0.260792\pi\)
−0.999425 + 0.0338976i \(0.989208\pi\)
\(458\) 6.68426 0.312335
\(459\) −5.27158 22.1373i −0.246056 1.03328i
\(460\) 4.16373 0.194135
\(461\) 26.9313 + 11.1553i 1.25432 + 0.519555i 0.908161 0.418622i \(-0.137487\pi\)
0.346156 + 0.938177i \(0.387487\pi\)
\(462\) −8.89784 + 2.80391i −0.413965 + 0.130450i
\(463\) −0.154241 0.154241i −0.00716818 0.00716818i 0.703514 0.710682i \(-0.251613\pi\)
−0.710682 + 0.703514i \(0.751613\pi\)
\(464\) −0.369383 1.85701i −0.0171482 0.0862097i
\(465\) −5.29580 + 3.53854i −0.245587 + 0.164096i
\(466\) 5.61393 + 1.11668i 0.260060 + 0.0517292i
\(467\) 28.8732 11.9597i 1.33609 0.553428i 0.403706 0.914889i \(-0.367722\pi\)
0.932387 + 0.361461i \(0.117722\pi\)
\(468\) 1.40275 0.581036i 0.0648420 0.0268584i
\(469\) −15.4099 3.06523i −0.711565 0.141539i
\(470\) 4.22453 2.82274i 0.194863 0.130203i
\(471\) 0.340546 + 1.71204i 0.0156915 + 0.0788867i
\(472\) −11.0877 11.0877i −0.510353 0.510353i
\(473\) −33.5987 + 10.5877i −1.54487 + 0.486824i
\(474\) −3.40226 1.40926i −0.156271 0.0647295i
\(475\) 4.90982 0.225278
\(476\) 1.96564 3.19442i 0.0900951 0.146416i
\(477\) 18.3100 0.838356
\(478\) 3.36358 8.12041i 0.153847 0.371419i
\(479\) 19.9164 29.8069i 0.910002 1.36191i −0.0221148 0.999755i \(-0.507040\pi\)
0.932117 0.362158i \(-0.117960\pi\)
\(480\) −2.84560 + 2.84560i −0.129883 + 0.129883i
\(481\) −0.143732 0.722591i −0.00655363 0.0329473i
\(482\) 19.3442 12.9254i 0.881104 0.588735i
\(483\) 2.34154 11.7717i 0.106544 0.535632i
\(484\) 4.08180 + 5.83338i 0.185536 + 0.265154i
\(485\) −0.00314936 0.00760322i −0.000143005 0.000345245i
\(486\) 21.8526 + 4.34676i 0.991255 + 0.197173i
\(487\) 13.6704 + 20.4591i 0.619463 + 0.927092i 0.999997 + 0.00232543i \(0.000740207\pi\)
−0.380534 + 0.924767i \(0.624260\pi\)
\(488\) −3.01065 15.1355i −0.136286 0.685154i
\(489\) 15.3183 15.3183i 0.692719 0.692719i
\(490\) −6.29863 4.20861i −0.284543 0.190126i
\(491\) 3.29598 7.95719i 0.148745 0.359103i −0.831891 0.554938i \(-0.812742\pi\)
0.980637 + 0.195835i \(0.0627418\pi\)
\(492\) −5.30721 −0.239267
\(493\) 1.29712 0.938765i 0.0584192 0.0422798i
\(494\) 3.04307i 0.136914i
\(495\) −2.19740 4.00684i −0.0987657 0.180094i
\(496\) 22.6533 + 15.1365i 1.01716 + 0.679647i
\(497\) 1.54598 1.54598i 0.0693468 0.0693468i
\(498\) −11.8196 + 2.35106i −0.529649 + 0.105354i
\(499\) 4.88674 3.26522i 0.218761 0.146171i −0.441362 0.897329i \(-0.645504\pi\)
0.660122 + 0.751158i \(0.270504\pi\)
\(500\) −5.37715 1.06958i −0.240473 0.0478331i
\(501\) 7.62493 + 18.4082i 0.340657 + 0.822418i
\(502\) −14.1482 + 5.86036i −0.631463 + 0.261561i
\(503\) −33.2006 6.60402i −1.48034 0.294459i −0.612172 0.790724i \(-0.709704\pi\)
−0.868171 + 0.496266i \(0.834704\pi\)
\(504\) −2.55556 3.82467i −0.113834 0.170364i
\(505\) 1.49956 0.298280i 0.0667294 0.0132733i
\(506\) −37.2415 + 4.07259i −1.65559 + 0.181049i
\(507\) 7.18315 10.7503i 0.319015 0.477439i
\(508\) −0.111324 + 0.268759i −0.00493920 + 0.0119243i
\(509\) 14.8460i 0.658036i −0.944324 0.329018i \(-0.893282\pi\)
0.944324 0.329018i \(-0.106718\pi\)
\(510\) −7.16870 2.65969i −0.317436 0.117773i
\(511\) −10.1127 −0.447359
\(512\) −3.92443 1.62555i −0.173437 0.0718400i
\(513\) −3.63527 + 5.44056i −0.160501 + 0.240207i
\(514\) 15.6714 15.6714i 0.691235 0.691235i
\(515\) 2.71934 0.540910i 0.119828 0.0238354i
\(516\) −4.69799 7.03105i −0.206818 0.309525i
\(517\) −8.56334 + 7.18317i −0.376615 + 0.315915i
\(518\) 0.986649 0.408683i 0.0433508 0.0179565i
\(519\) 13.3561 5.53227i 0.586267 0.242840i
\(520\) −0.627695 + 3.15563i −0.0275262 + 0.138384i
\(521\) −11.2701 16.8669i −0.493753 0.738953i 0.497992 0.867182i \(-0.334071\pi\)
−0.991745 + 0.128228i \(0.959071\pi\)
\(522\) 0.183296 + 0.921490i 0.00802264 + 0.0403325i
\(523\) 18.1574 + 18.1574i 0.793968 + 0.793968i 0.982137 0.188168i \(-0.0602551\pi\)
−0.188168 + 0.982137i \(0.560255\pi\)
\(524\) −10.4963 7.01340i −0.458533 0.306382i
\(525\) −2.73990 + 6.61470i −0.119579 + 0.288689i
\(526\) 48.6697i 2.12210i
\(527\) −3.64618 + 22.7498i −0.158830 + 0.990997i
\(528\) 12.4524 15.5103i 0.541920 0.674997i
\(529\) 9.64297 23.2802i 0.419260 1.01218i
\(530\) 10.3138 15.4358i 0.448005 0.670487i
\(531\) 7.49079 + 7.49079i 0.325073 + 0.325073i
\(532\) −1.05776 + 0.210402i −0.0458597 + 0.00912206i
\(533\) −8.74416 + 5.84266i −0.378751 + 0.253074i
\(534\) 3.20238 16.0995i 0.138581 0.696692i
\(535\) −5.54343 13.3830i −0.239663 0.578599i
\(536\) 22.7317 9.41580i 0.981862 0.406701i
\(537\) 1.23315 6.19945i 0.0532142 0.267526i
\(538\) 41.0066 27.3997i 1.76792 1.18129i
\(539\) 14.7806 + 7.69728i 0.636644 + 0.331545i
\(540\) 2.34061 2.34061i 0.100724 0.100724i
\(541\) −30.9664 20.6911i −1.33135 0.889579i −0.332778 0.943005i \(-0.607986\pi\)
−0.998572 + 0.0534258i \(0.982986\pi\)
\(542\) 23.4462 + 9.71174i 1.00710 + 0.417155i
\(543\) 4.11986i 0.176800i
\(544\) 0.544736 + 14.5474i 0.0233553 + 0.623714i
\(545\) 11.2553i 0.482122i
\(546\) −4.09974 1.69817i −0.175453 0.0726749i
\(547\) 22.9195 34.3015i 0.979967 1.46662i 0.0980713 0.995179i \(-0.468733\pi\)
0.881896 0.471445i \(-0.156267\pi\)
\(548\) −3.23437 3.23437i −0.138165 0.138165i
\(549\) 2.03398 + 10.2255i 0.0868079 + 0.436413i
\(550\) 22.2626 + 1.95131i 0.949281 + 0.0832042i
\(551\) −0.451556 0.0898201i −0.0192369 0.00382646i
\(552\) 7.19277 + 17.3649i 0.306145 + 0.739098i
\(553\) −0.989688 2.38932i −0.0420858 0.101604i
\(554\) 3.19879 16.0814i 0.135904 0.683234i
\(555\) −0.295724 0.442582i −0.0125528 0.0187866i
\(556\) −6.99490 + 1.39137i −0.296650 + 0.0590073i
\(557\) −5.30410 5.30410i −0.224742 0.224742i 0.585750 0.810492i \(-0.300800\pi\)
−0.810492 + 0.585750i \(0.800800\pi\)
\(558\) −11.2411 7.51103i −0.475872 0.317967i
\(559\) −15.4808 6.41237i −0.654770 0.271214i
\(560\) −6.34968 −0.268323
\(561\) 16.3129 + 4.10196i 0.688730 + 0.173185i
\(562\) −22.8982 −0.965904
\(563\) 24.6631 + 10.2158i 1.03943 + 0.430545i 0.836106 0.548567i \(-0.184827\pi\)
0.203321 + 0.979112i \(0.434827\pi\)
\(564\) −2.23085 1.49061i −0.0939357 0.0627658i
\(565\) 5.16645 + 5.16645i 0.217354 + 0.217354i
\(566\) 35.3177 7.02513i 1.48451 0.295288i
\(567\) −1.81780 2.72053i −0.0763406 0.114252i
\(568\) −0.667953 + 3.35803i −0.0280267 + 0.140900i
\(569\) 5.39446 + 13.0234i 0.226148 + 0.545969i 0.995702 0.0926124i \(-0.0295217\pi\)
−0.769555 + 0.638581i \(0.779522\pi\)
\(570\) 0.841359 + 2.03122i 0.0352406 + 0.0850784i
\(571\) 33.9340 + 6.74990i 1.42009 + 0.282474i 0.844629 0.535352i \(-0.179821\pi\)
0.575465 + 0.817826i \(0.304821\pi\)
\(572\) −0.295696 + 3.37361i −0.0123637 + 0.141058i
\(573\) −6.05224 30.4267i −0.252836 1.27109i
\(574\) −10.7792 10.7792i −0.449914 0.449914i
\(575\) −15.9735 + 23.9060i −0.666141 + 0.996950i
\(576\) 5.50406 + 2.27986i 0.229336 + 0.0949941i
\(577\) 30.7896i 1.28179i −0.767629 0.640894i \(-0.778564\pi\)
0.767629 0.640894i \(-0.221436\pi\)
\(578\) −24.6910 + 12.4663i −1.02701 + 0.518531i
\(579\) 10.5185i 0.437134i
\(580\) 0.215178 + 0.0891298i 0.00893480 + 0.00370091i
\(581\) −7.03691 4.70191i −0.291940 0.195068i
\(582\) −0.0125686 + 0.0125686i −0.000520985 + 0.000520985i
\(583\) −18.8634 + 36.2221i −0.781241 + 1.50017i
\(584\) 13.1675 8.79826i 0.544876 0.364074i
\(585\) 0.424067 2.13193i 0.0175330 0.0881444i
\(586\) 36.1024 14.9541i 1.49138 0.617748i
\(587\) 0.870360 + 2.10123i 0.0359236 + 0.0867272i 0.940823 0.338898i \(-0.110054\pi\)
−0.904900 + 0.425625i \(0.860054\pi\)
\(588\) −0.780418 + 3.92342i −0.0321839 + 0.161799i
\(589\) 5.50843 3.68062i 0.226971 0.151657i
\(590\) 10.5344 2.09543i 0.433695 0.0862674i
\(591\) 20.3149 + 20.3149i 0.835644 + 0.835644i
\(592\) −1.26499 + 1.89319i −0.0519908 + 0.0778097i
\(593\) 14.9936 36.1977i 0.615713 1.48646i −0.240925 0.970544i \(-0.577451\pi\)
0.856638 0.515918i \(-0.172549\pi\)
\(594\) −18.6457 + 23.2244i −0.765040 + 0.952908i
\(595\) −2.23910 4.88061i −0.0917942 0.200085i
\(596\) 12.6809i 0.519429i
\(597\) −4.86797 + 11.7523i −0.199233 + 0.480990i
\(598\) −14.8168 9.90025i −0.605903 0.404851i
\(599\) 22.4274 + 22.4274i 0.916357 + 0.916357i 0.996762 0.0804054i \(-0.0256215\pi\)
−0.0804054 + 0.996762i \(0.525621\pi\)
\(600\) −2.18737 10.9966i −0.0892988 0.448935i
\(601\) −18.7660 28.0852i −0.765479 1.14562i −0.985425 0.170109i \(-0.945588\pi\)
0.219946 0.975512i \(-0.429412\pi\)
\(602\) 4.73853 23.8222i 0.193128 0.970920i
\(603\) −15.3574 + 6.36126i −0.625403 + 0.259050i
\(604\) −3.51123 + 1.45440i −0.142870 + 0.0591786i
\(605\) 10.1904 0.219098i 0.414300 0.00890761i
\(606\) −1.83463 2.74571i −0.0745265 0.111537i
\(607\) −3.57984 + 0.712074i −0.145301 + 0.0289022i −0.267205 0.963640i \(-0.586100\pi\)
0.121904 + 0.992542i \(0.461100\pi\)
\(608\) 2.95986 2.95986i 0.120038 0.120038i
\(609\) 0.372997 0.558230i 0.0151146 0.0226206i
\(610\) 9.76606 + 4.04524i 0.395416 + 0.163787i
\(611\) −5.31654 −0.215084
\(612\) −0.148487 3.96542i −0.00600225 0.160293i
\(613\) 4.79070i 0.193495i −0.995309 0.0967474i \(-0.969156\pi\)
0.995309 0.0967474i \(-0.0308439\pi\)
\(614\) −15.3039 + 36.9470i −0.617617 + 1.49106i
\(615\) −4.22124 + 6.31753i −0.170217 + 0.254747i
\(616\) 10.1990 1.11533i 0.410931 0.0449378i
\(617\) 41.7084 8.29631i 1.67911 0.333997i 0.738702 0.674032i \(-0.235439\pi\)
0.940413 + 0.340035i \(0.110439\pi\)
\(618\) −3.32696 4.97915i −0.133830 0.200291i
\(619\) −32.1435 6.39374i −1.29196 0.256986i −0.499180 0.866499i \(-0.666365\pi\)
−0.792776 + 0.609513i \(0.791365\pi\)
\(620\) −3.09630 + 1.28253i −0.124350 + 0.0515076i
\(621\) −14.6633 35.4004i −0.588419 1.42057i
\(622\) −20.1722 4.01251i −0.808833 0.160887i
\(623\) 9.58496 6.40447i 0.384013 0.256590i
\(624\) 9.27933 1.84577i 0.371470 0.0738901i
\(625\) 9.09192 9.09192i 0.363677 0.363677i
\(626\) −16.8973 11.2904i −0.675351 0.451255i
\(627\) −2.32567 4.24075i −0.0928785 0.169359i
\(628\) 0.918507i 0.0366524i
\(629\) −1.90126 0.304720i −0.0758081 0.0121500i
\(630\) 3.15085 0.125533
\(631\) 10.6990 25.8296i 0.425919 1.02826i −0.554650 0.832084i \(-0.687148\pi\)
0.980569 0.196175i \(-0.0628521\pi\)
\(632\) 3.36741 + 2.25003i 0.133948 + 0.0895013i
\(633\) −1.06480 + 1.06480i −0.0423222 + 0.0423222i
\(634\) −1.80475 9.07311i −0.0716759 0.360339i
\(635\) 0.231378 + 0.346282i 0.00918196 + 0.0137418i
\(636\) −9.61496 1.91253i −0.381258 0.0758369i
\(637\) 3.03345 + 7.32339i 0.120190 + 0.290163i
\(638\) −2.01179 0.586733i −0.0796477 0.0232290i
\(639\) 0.451265 2.26866i 0.0178518 0.0897469i
\(640\) 10.4629 6.99109i 0.413583 0.276347i
\(641\) −4.18003 21.0144i −0.165101 0.830020i −0.971205 0.238246i \(-0.923428\pi\)
0.806104 0.591774i \(-0.201572\pi\)
\(642\) −22.1230 + 22.1230i −0.873124 + 0.873124i
\(643\) −2.52490 + 3.77878i −0.0995724 + 0.149021i −0.877911 0.478825i \(-0.841063\pi\)
0.778338 + 0.627845i \(0.216063\pi\)
\(644\) 2.41684 5.83477i 0.0952369 0.229922i
\(645\) −12.1062 −0.476682
\(646\) 7.45654 + 2.76648i 0.293374 + 0.108846i
\(647\) 25.7983 1.01423 0.507117 0.861877i \(-0.330711\pi\)
0.507117 + 0.861877i \(0.330711\pi\)
\(648\) 4.73384 + 1.96082i 0.185963 + 0.0770284i
\(649\) −22.5360 + 7.10162i −0.884616 + 0.278763i
\(650\) 7.51660 + 7.51660i 0.294825 + 0.294825i
\(651\) 1.88472 + 9.47512i 0.0738679 + 0.371359i
\(652\) 9.47797 6.33298i 0.371186 0.248019i
\(653\) −19.9221 3.96276i −0.779613 0.155075i −0.210786 0.977532i \(-0.567602\pi\)
−0.568827 + 0.822457i \(0.692602\pi\)
\(654\) 22.4590 9.30282i 0.878216 0.363769i
\(655\) −16.6970 + 6.91614i −0.652408 + 0.270236i
\(656\) 31.8768 + 6.34070i 1.24458 + 0.247563i
\(657\) −8.89590 + 5.94405i −0.347062 + 0.231900i
\(658\) −1.50347 7.55844i −0.0586112 0.294659i
\(659\) −31.3436 31.3436i −1.22097 1.22097i −0.967287 0.253685i \(-0.918357\pi\)
−0.253685 0.967287i \(-0.581643\pi\)
\(660\) 0.735373 + 2.33361i 0.0286244 + 0.0908355i
\(661\) −16.4411 6.81012i −0.639485 0.264883i 0.0392923 0.999228i \(-0.487490\pi\)
−0.678777 + 0.734345i \(0.737490\pi\)
\(662\) −10.3482 −0.402192
\(663\) 4.69092 + 6.48157i 0.182180 + 0.251723i
\(664\) 13.2534 0.514330
\(665\) −0.590864 + 1.42647i −0.0229127 + 0.0553162i
\(666\) 0.627715 0.939442i 0.0243235 0.0364026i
\(667\) 1.90642 1.90642i 0.0738167 0.0738167i
\(668\) 2.04538 + 10.2828i 0.0791382 + 0.397855i
\(669\) 15.4743 10.3396i 0.598271 0.399752i
\(670\) −3.28801 + 16.5299i −0.127027 + 0.638608i
\(671\) −22.3242 6.51079i −0.861818 0.251346i
\(672\) 2.33590 + 5.63937i 0.0901094 + 0.217543i
\(673\) −40.1395 7.98425i −1.54727 0.307770i −0.653718 0.756739i \(-0.726792\pi\)
−0.893548 + 0.448968i \(0.851792\pi\)
\(674\) 24.0813 + 36.0402i 0.927577 + 1.38822i
\(675\) 4.45921 + 22.4179i 0.171635 + 0.862867i
\(676\) 4.81064 4.81064i 0.185025 0.185025i
\(677\) 27.5531 + 18.4104i 1.05895 + 0.707568i 0.957838 0.287307i \(-0.0927601\pi\)
0.101112 + 0.994875i \(0.467760\pi\)
\(678\) 6.03902 14.5795i 0.231927 0.559921i
\(679\) −0.0124827 −0.000479042
\(680\) 7.16171 + 4.40687i 0.274639 + 0.168996i
\(681\) 6.14661i 0.235538i
\(682\) 26.4397 14.4998i 1.01243 0.555226i
\(683\) 3.21892 + 2.15081i 0.123168 + 0.0822985i 0.615628 0.788037i \(-0.288902\pi\)
−0.492460 + 0.870335i \(0.663902\pi\)
\(684\) −0.806816 + 0.806816i −0.0308494 + 0.0308494i
\(685\) −6.42263 + 1.27754i −0.245396 + 0.0488123i
\(686\) −22.8634 + 15.2768i −0.872928 + 0.583272i
\(687\) −4.95626 0.985860i −0.189093 0.0376129i
\(688\) 19.8175 + 47.8437i 0.755535 + 1.82402i
\(689\) −17.9471 + 7.43393i −0.683730 + 0.283210i
\(690\) −12.6273 2.51173i −0.480713 0.0956198i
\(691\) 3.43772 + 5.14491i 0.130777 + 0.195722i 0.891079 0.453848i \(-0.149949\pi\)
−0.760302 + 0.649570i \(0.774949\pi\)
\(692\) 7.46071 1.48403i 0.283613 0.0564142i
\(693\) −6.89041 + 0.753508i −0.261745 + 0.0286234i
\(694\) −4.93051 + 7.37902i −0.187159 + 0.280104i
\(695\) −3.90735 + 9.43317i −0.148214 + 0.357821i
\(696\) 1.05137i 0.0398522i
\(697\) 6.36709 + 26.7377i 0.241171 + 1.01276i
\(698\) −42.3806 −1.60413
\(699\) −3.99793 1.65600i −0.151216 0.0626355i
\(700\) −2.09303 + 3.13245i −0.0791093 + 0.118395i
\(701\) −30.9144 + 30.9144i −1.16762 + 1.16762i −0.184855 + 0.982766i \(0.559181\pi\)
−0.982766 + 0.184855i \(0.940819\pi\)
\(702\) −13.8945 + 2.76378i −0.524413 + 0.104312i
\(703\) 0.307598 + 0.460353i 0.0116013 + 0.0173625i
\(704\) −10.1806 + 8.53977i −0.383696 + 0.321855i
\(705\) −3.54874 + 1.46994i −0.133653 + 0.0553610i
\(706\) −37.7377 + 15.6315i −1.42028 + 0.588298i
\(707\) 0.452429 2.27452i 0.0170154 0.0855420i
\(708\) −3.15114 4.71601i −0.118427 0.177239i
\(709\) 5.13785 + 25.8297i 0.192956 + 0.970055i 0.948938 + 0.315463i \(0.102160\pi\)
−0.755982 + 0.654593i \(0.772840\pi\)
\(710\) −1.65835 1.65835i −0.0622366 0.0622366i
\(711\) −2.27500 1.52011i −0.0853192 0.0570084i
\(712\) −6.90835 + 16.6782i −0.258901 + 0.625043i
\(713\) 38.7951i 1.45289i
\(714\) −7.88819 + 8.50192i −0.295208 + 0.318176i
\(715\) 3.78065 + 3.03528i 0.141388 + 0.113513i
\(716\) 1.27280 3.07282i 0.0475669 0.114837i
\(717\) −3.69172 + 5.52504i −0.137870 + 0.206337i
\(718\) −6.54642 6.54642i −0.244310 0.244310i
\(719\) 33.6392 6.69126i 1.25453 0.249542i 0.477291 0.878745i \(-0.341619\pi\)
0.777241 + 0.629204i \(0.216619\pi\)
\(720\) −5.58566 + 3.73222i −0.208165 + 0.139092i
\(721\) 0.820448 4.12467i 0.0305551 0.153611i
\(722\) 10.9550 + 26.4477i 0.407703 + 0.984282i
\(723\) −16.2497 + 6.73086i −0.604334 + 0.250323i
\(724\) 0.422922 2.12617i 0.0157178 0.0790186i
\(725\) −1.33724 + 0.893513i −0.0496637 + 0.0331842i
\(726\) −8.85991 20.1531i −0.328822 0.747953i
\(727\) −9.65034 + 9.65034i −0.357911 + 0.357911i −0.863043 0.505131i \(-0.831444\pi\)
0.505131 + 0.863043i \(0.331444\pi\)
\(728\) 4.05775 + 2.71130i 0.150390 + 0.100487i
\(729\) −22.0146 9.11873i −0.815354 0.337731i
\(730\) 10.8477i 0.401491i
\(731\) −29.7862 + 32.1037i −1.10168 + 1.18740i
\(732\) 5.58208i 0.206320i
\(733\) 41.9149 + 17.3617i 1.54816 + 0.641270i 0.982983 0.183696i \(-0.0588064\pi\)
0.565181 + 0.824967i \(0.308806\pi\)
\(734\) 22.1953 33.2176i 0.819244 1.22609i
\(735\) 4.04959 + 4.04959i 0.149371 + 0.149371i
\(736\) 4.78208 + 24.0411i 0.176270 + 0.886168i
\(737\) 3.23732 36.9347i 0.119248 1.36051i
\(738\) −15.8180 3.14639i −0.582267 0.115820i
\(739\) 15.5783 + 37.6094i 0.573057 + 1.38348i 0.898940 + 0.438073i \(0.144339\pi\)
−0.325882 + 0.945410i \(0.605661\pi\)
\(740\) −0.107184 0.258765i −0.00394016 0.00951239i
\(741\) 0.448822 2.25638i 0.0164879 0.0828903i
\(742\) −15.6440 23.4128i −0.574308 0.859512i
\(743\) −18.5722 + 3.69425i −0.681350 + 0.135529i −0.523618 0.851953i \(-0.675418\pi\)
−0.157732 + 0.987482i \(0.550418\pi\)
\(744\) −10.6976 10.6976i −0.392193 0.392193i
\(745\) 15.0949 + 10.0861i 0.553035 + 0.369526i
\(746\) −21.2665 8.80885i −0.778620 0.322515i
\(747\) −8.95389 −0.327606
\(748\) 7.99765 + 3.79153i 0.292423 + 0.138632i
\(749\) −21.9718 −0.802831
\(750\) 15.6620 + 6.48742i 0.571896 + 0.236887i
\(751\) −30.8931 20.6421i −1.12731 0.753242i −0.155224 0.987879i \(-0.549610\pi\)
−0.972083 + 0.234637i \(0.924610\pi\)
\(752\) 11.6183 + 11.6183i 0.423678 + 0.423678i
\(753\) 11.3549 2.25864i 0.413797 0.0823094i
\(754\) −0.553793 0.828809i −0.0201679 0.0301835i
\(755\) −1.06149 + 5.33645i −0.0386314 + 0.194213i
\(756\) −1.92136 4.63858i −0.0698792 0.168703i
\(757\) −4.67229 11.2799i −0.169817 0.409975i 0.815943 0.578133i \(-0.196218\pi\)
−0.985760 + 0.168157i \(0.946218\pi\)
\(758\) −1.41503 0.281467i −0.0513963 0.0102234i
\(759\) 28.2146 + 2.47300i 1.02412 + 0.0897642i
\(760\) −0.471709 2.37144i −0.0171107 0.0860213i
\(761\) 17.6927 + 17.6927i 0.641361 + 0.641361i 0.950890 0.309529i \(-0.100171\pi\)
−0.309529 + 0.950890i \(0.600171\pi\)
\(762\) 0.499737 0.747909i 0.0181036 0.0270939i
\(763\) 15.7724 + 6.53313i 0.570998 + 0.236515i
\(764\) 16.3239i 0.590577i
\(765\) −4.83841 2.97725i −0.174933 0.107643i
\(766\) 60.9345i 2.20165i
\(767\) −10.3836 4.30104i −0.374932 0.155302i
\(768\) −14.4028 9.62364i −0.519716 0.347263i
\(769\) 0.596474 0.596474i 0.0215094 0.0215094i −0.696270 0.717780i \(-0.745158\pi\)
0.717780 + 0.696270i \(0.245158\pi\)
\(770\) −3.24608 + 6.23323i −0.116981 + 0.224630i
\(771\) −13.9314 + 9.30867i −0.501727 + 0.335243i
\(772\) −1.07977 + 5.42839i −0.0388619 + 0.195372i
\(773\) −24.2424 + 10.0415i −0.871938 + 0.361168i −0.773365 0.633961i \(-0.781428\pi\)
−0.0985730 + 0.995130i \(0.531428\pi\)
\(774\) −9.83386 23.7410i −0.353471 0.853354i
\(775\) 4.51483 22.6976i 0.162178 0.815322i
\(776\) 0.0162534 0.0108602i 0.000583465 0.000389859i
\(777\) −0.791859 + 0.157510i −0.0284078 + 0.00565066i
\(778\) 35.9473 + 35.9473i 1.28877 + 1.28877i
\(779\) 4.39073 6.57119i 0.157314 0.235437i
\(780\) −0.445373 + 1.07523i −0.0159469 + 0.0384993i
\(781\) 4.02313 + 3.22996i 0.143959 + 0.115577i
\(782\) −37.7290 + 27.3057i −1.34918 + 0.976448i
\(783\) 2.14335i 0.0765972i
\(784\) 9.37490 22.6330i 0.334818 0.808321i
\(785\) 1.09336 + 0.730561i 0.0390237 + 0.0260748i
\(786\) 27.6012 + 27.6012i 0.984504 + 0.984504i
\(787\) −2.28923 11.5088i −0.0816024 0.410243i −0.999897 0.0143453i \(-0.995434\pi\)
0.918295 0.395897i \(-0.129566\pi\)
\(788\) 8.39869 + 12.5695i 0.299191 + 0.447771i
\(789\) 7.17830 36.0877i 0.255554 1.28476i
\(790\) −2.56298 + 1.06162i −0.0911866 + 0.0377707i
\(791\) 10.2388 4.24104i 0.364049 0.150794i
\(792\) 8.31628 6.97592i 0.295506 0.247879i
\(793\) −6.14526 9.19703i −0.218225 0.326596i
\(794\) 48.5900 9.66515i 1.72439 0.343003i
\(795\) −9.92415 + 9.92415i −0.351973 + 0.351973i
\(796\) −3.71869 + 5.56541i −0.131805 + 0.197261i
\(797\) −7.22258 2.99169i −0.255837 0.105971i 0.251079 0.967967i \(-0.419215\pi\)
−0.506916 + 0.861995i \(0.669215\pi\)
\(798\) 3.33478 0.118050
\(799\) −4.83331 + 13.0273i −0.170990 + 0.460873i
\(800\) 14.6221i 0.516970i
\(801\) 4.66724 11.2677i 0.164909 0.398125i
\(802\) −10.5932 + 15.8539i −0.374060 + 0.559820i
\(803\) −2.59417 23.7222i −0.0915463 0.837139i
\(804\) 8.72898 1.73630i 0.307847 0.0612346i
\(805\) −5.02322 7.51778i −0.177045 0.264967i
\(806\) 14.0678 + 2.79826i 0.495517 + 0.0985645i
\(807\) −34.4468 + 14.2683i −1.21259 + 0.502269i
\(808\) 1.38978 + 3.35522i 0.0488922 + 0.118036i
\(809\) −22.7149 4.51828i −0.798614 0.158854i −0.221117 0.975247i \(-0.570970\pi\)
−0.577497 + 0.816393i \(0.695970\pi\)
\(810\) −2.91827 + 1.94992i −0.102537 + 0.0685133i
\(811\) −27.0526 + 5.38109i −0.949945 + 0.188956i −0.645660 0.763625i \(-0.723418\pi\)
−0.304285 + 0.952581i \(0.598418\pi\)
\(812\) 0.249801 0.249801i 0.00876630 0.00876630i
\(813\) −15.9526 10.6592i −0.559480 0.373833i
\(814\) 1.21178 + 2.20963i 0.0424730 + 0.0774474i
\(815\) 16.3194i 0.571643i
\(816\) 3.91314 24.4155i 0.136987 0.854712i
\(817\) 12.5923 0.440549
\(818\) −13.3869 + 32.3188i −0.468061 + 1.13000i
\(819\) −2.74139 1.83174i −0.0957919 0.0640061i
\(820\) −2.82702 + 2.82702i −0.0987237 + 0.0987237i
\(821\) −0.111922 0.562669i −0.00390610 0.0196373i 0.978783 0.204899i \(-0.0656867\pi\)
−0.982689 + 0.185262i \(0.940687\pi\)
\(822\) 7.85774 + 11.7599i 0.274070 + 0.410175i
\(823\) 1.29460 + 0.257511i 0.0451267 + 0.00897627i 0.217602 0.976038i \(-0.430177\pi\)
−0.172475 + 0.985014i \(0.555177\pi\)
\(824\) 2.52026 + 6.08445i 0.0877975 + 0.211962i
\(825\) −16.2195 4.73037i −0.564691 0.164690i
\(826\) 3.17833 15.9785i 0.110588 0.555964i
\(827\) −14.8605 + 9.92948i −0.516751 + 0.345282i −0.786441 0.617665i \(-0.788079\pi\)
0.269690 + 0.962947i \(0.413079\pi\)
\(828\) −1.30353 6.55328i −0.0453008 0.227742i
\(829\) 29.6688 29.6688i 1.03044 1.03044i 0.0309195 0.999522i \(-0.490156\pi\)
0.999522 0.0309195i \(-0.00984354\pi\)
\(830\) −5.04365 + 7.54836i −0.175068 + 0.262007i
\(831\) −4.74369 + 11.4523i −0.164557 + 0.397276i
\(832\) −6.32062 −0.219128
\(833\) 20.7025 0.775217i 0.717298 0.0268597i
\(834\) 22.0527 0.763623
\(835\) 13.8672 + 5.74399i 0.479895 + 0.198779i
\(836\) −0.764900 2.42730i −0.0264546 0.0839501i
\(837\) 21.8083 + 21.8083i 0.753806 + 0.753806i
\(838\) −4.63247 23.2890i −0.160026 0.804504i
\(839\) 44.5552 29.7708i 1.53822 1.02780i 0.558007 0.829836i \(-0.311566\pi\)
0.980209 0.197967i \(-0.0634340\pi\)
\(840\) 3.45813 + 0.687866i 0.119317 + 0.0237336i
\(841\) −26.6532 + 11.0401i −0.919075 + 0.380693i
\(842\) 39.9615 16.5526i 1.37717 0.570441i
\(843\) 16.9786 + 3.37726i 0.584775 + 0.116319i
\(844\) −0.658831 + 0.440217i −0.0226779 + 0.0151529i
\(845\) −1.90015 9.55272i −0.0653673 0.328624i
\(846\) −5.76527 5.76527i −0.198214 0.198214i
\(847\) 5.60802 14.4074i 0.192694 0.495043i
\(848\) 55.4657 + 22.9746i 1.90470 + 0.788952i
\(849\) −27.2236 −0.934311
\(850\) 25.2516 11.5848i 0.866122 0.397355i
\(851\) −3.24220 −0.111141
\(852\) −0.473938 + 1.14419i −0.0162369 + 0.0391992i
\(853\) 19.3007 28.8855i 0.660843 0.989021i −0.338011 0.941142i \(-0.609754\pi\)
0.998853 0.0478785i \(-0.0152460\pi\)
\(854\) 11.3374 11.3374i 0.387959 0.387959i
\(855\) 0.318684 + 1.60213i 0.0108988 + 0.0547918i
\(856\) 28.6090 19.1159i 0.977834 0.653368i
\(857\) 1.59504 8.01881i 0.0544855 0.273917i −0.943933 0.330138i \(-0.892905\pi\)
0.998418 + 0.0562202i \(0.0179049\pi\)
\(858\) 2.93185 10.0527i 0.100092 0.343195i
\(859\) −0.263470 0.636074i −0.00898949 0.0217026i 0.919321 0.393508i \(-0.128739\pi\)
−0.928311 + 0.371806i \(0.878739\pi\)
\(860\) −6.24777 1.24276i −0.213047 0.0423777i
\(861\) 6.40274 + 9.58237i 0.218205 + 0.326566i
\(862\) −6.49952 32.6753i −0.221375 1.11293i
\(863\) −7.09170 + 7.09170i −0.241404 + 0.241404i −0.817431 0.576027i \(-0.804602\pi\)
0.576027 + 0.817431i \(0.304602\pi\)
\(864\) 16.2027 + 10.8263i 0.551228 + 0.368319i
\(865\) 4.16755 10.0613i 0.141701 0.342096i
\(866\) −46.2756 −1.57251
\(867\) 20.1466 5.60188i 0.684213 0.190250i
\(868\) 5.08339i 0.172541i
\(869\) 5.35095 2.93452i 0.181518 0.0995467i
\(870\) −0.598803 0.400107i −0.0203013 0.0135649i
\(871\) 12.4704 12.4704i 0.422543 0.422543i
\(872\) −26.2208 + 5.21564i −0.887948 + 0.176624i
\(873\) −0.0109807 + 0.00733709i −0.000371641 + 0.000248323i
\(874\) 13.1343 + 2.61258i 0.444275 + 0.0883717i
\(875\) 4.55595 + 10.9990i 0.154019 + 0.371835i
\(876\) 5.29230 2.19214i 0.178810 0.0740657i
\(877\) −32.5456 6.47372i −1.09899 0.218602i −0.387896 0.921703i \(-0.626798\pi\)
−0.711090 + 0.703101i \(0.751798\pi\)
\(878\) 1.53791 + 2.30165i 0.0519020 + 0.0776769i
\(879\) −28.9748 + 5.76345i −0.977297 + 0.194396i
\(880\) −1.62886 14.8950i −0.0549088 0.502110i
\(881\) −19.6272 + 29.3742i −0.661258 + 0.989643i 0.337572 + 0.941300i \(0.390394\pi\)
−0.998831 + 0.0483436i \(0.984606\pi\)
\(882\) −4.65202 + 11.2310i −0.156642 + 0.378167i
\(883\) 28.9876i 0.975511i 0.872980 + 0.487756i \(0.162184\pi\)
−0.872980 + 0.487756i \(0.837816\pi\)
\(884\) 1.75552 + 3.82655i 0.0590447 + 0.128701i
\(885\) −8.12014 −0.272956
\(886\) 11.8105 + 4.89208i 0.396782 + 0.164353i
\(887\) 31.7624 47.5358i 1.06648 1.59610i 0.299868 0.953981i \(-0.403057\pi\)
0.766609 0.642115i \(-0.221943\pi\)
\(888\) 0.894024 0.894024i 0.0300015 0.0300015i
\(889\) 0.619560 0.123238i 0.0207794 0.00413327i
\(890\) −6.86995 10.2816i −0.230281 0.344640i
\(891\) 5.91548 4.96206i 0.198176 0.166235i
\(892\) 9.04737 3.74754i 0.302928 0.125477i
\(893\) 3.69123 1.52896i 0.123522 0.0511646i
\(894\) 7.64962 38.4572i 0.255841 1.28620i
\(895\) −2.64542 3.95916i −0.0884268 0.132340i
\(896\) −3.72364 18.7200i −0.124398 0.625391i
\(897\) 9.52618 + 9.52618i 0.318070 + 0.318070i
\(898\) 5.87862 + 3.92797i 0.196172 + 0.131078i
\(899\) −0.830457 + 2.00490i −0.0276973 + 0.0668672i
\(900\) 3.98579i 0.132860i
\(901\) 1.89979 + 50.7346i 0.0632911 + 1.69022i
\(902\) 22.5205 28.0507i 0.749850 0.933988i
\(903\) −7.02707 + 16.9648i −0.233846 + 0.564554i
\(904\) −9.64190 + 14.4301i −0.320685 + 0.479939i
\(905\) −2.19455 2.19455i −0.0729492 0.0729492i
\(906\) 11.5258 2.29263i 0.382920 0.0761675i
\(907\) −24.6367 + 16.4617i −0.818048 + 0.546603i −0.892723 0.450605i \(-0.851208\pi\)
0.0746748 + 0.997208i \(0.476208\pi\)
\(908\) 0.630977 3.17214i 0.0209397 0.105271i
\(909\) −0.938926 2.26677i −0.0311422 0.0751839i
\(910\) −3.08840 + 1.27926i −0.102380 + 0.0424070i
\(911\) 8.51004 42.7828i 0.281950 1.41746i −0.536994 0.843586i \(-0.680440\pi\)
0.818944 0.573873i \(-0.194560\pi\)
\(912\) −5.91174 + 3.95010i −0.195757 + 0.130801i
\(913\) 9.22452 17.7132i 0.305287 0.586222i
\(914\) 20.3535 20.3535i 0.673236 0.673236i
\(915\) −6.64473 4.43986i −0.219668 0.146777i
\(916\) −2.45662 1.01756i −0.0811689 0.0336213i
\(917\) 27.4126i 0.905244i
\(918\) −5.85937 + 36.5587i −0.193388 + 1.20662i
\(919\) 46.3821i 1.53001i −0.644027 0.765003i \(-0.722738\pi\)
0.644027 0.765003i \(-0.277262\pi\)
\(920\) 13.0812 + 5.41843i 0.431276 + 0.178640i
\(921\) 16.7969 25.1383i 0.553477 0.828336i
\(922\) −33.5370 33.5370i −1.10448 1.10448i
\(923\) 0.478766 + 2.40692i 0.0157588 + 0.0792247i
\(924\) 3.69701 + 0.324041i 0.121623 + 0.0106602i
\(925\) 1.89689 + 0.377315i 0.0623694 + 0.0124061i
\(926\) 0.135816 + 0.327889i 0.00446319 + 0.0107751i
\(927\) −1.70267 4.11062i −0.0559232 0.135010i
\(928\) −0.267496 + 1.34479i −0.00878099 + 0.0441450i
\(929\) 13.8601 + 20.7431i 0.454736 + 0.680560i 0.986019 0.166634i \(-0.0532898\pi\)
−0.531283 + 0.847195i \(0.678290\pi\)
\(930\) 10.1638 2.02170i 0.333284 0.0662942i
\(931\) −4.21219 4.21219i −0.138049 0.138049i
\(932\) −1.89325 1.26503i −0.0620156 0.0414375i
\(933\) 14.3655 + 5.95040i 0.470307 + 0.194807i
\(934\) −50.8483 −1.66381
\(935\) 10.8745 6.50445i 0.355633 0.212718i
\(936\) 5.16315 0.168763
\(937\) −45.3449 18.7825i −1.48135 0.613597i −0.511938 0.859022i \(-0.671072\pi\)
−0.969415 + 0.245425i \(0.921072\pi\)
\(938\) 21.2554 + 14.2024i 0.694014 + 0.463726i
\(939\) 10.8638 + 10.8638i 0.354527 + 0.354527i
\(940\) −1.98233 + 0.394309i −0.0646564 + 0.0128610i
\(941\) 1.81558 + 2.71720i 0.0591861 + 0.0885783i 0.859882 0.510492i \(-0.170537\pi\)
−0.800696 + 0.599071i \(0.795537\pi\)
\(942\) 0.554080 2.78555i 0.0180529 0.0907581i
\(943\) 17.7106 + 42.7571i 0.576735 + 1.39236i
\(944\) 13.2924 + 32.0907i 0.432631 + 1.04446i
\(945\) −7.04982 1.40230i −0.229331 0.0456167i
\(946\) 57.0973 + 5.00456i 1.85639 + 0.162712i
\(947\) 2.78920 + 14.0223i 0.0906368 + 0.455662i 0.999275 + 0.0380773i \(0.0121233\pi\)
−0.908638 + 0.417585i \(0.862877\pi\)
\(948\) 1.03587 + 1.03587i 0.0336435 + 0.0336435i
\(949\) 6.30629 9.43803i 0.204711 0.306372i
\(950\) −7.38036 3.05705i −0.239451 0.0991837i
\(951\) 6.99373i 0.226787i
\(952\) 10.3325 7.47797i 0.334879 0.242363i
\(953\) 16.5619i 0.536491i 0.963351 + 0.268246i \(0.0864438\pi\)
−0.963351 + 0.268246i \(0.913556\pi\)
\(954\) −27.5232 11.4005i −0.891098 0.369105i
\(955\) −19.4314 12.9837i −0.628786 0.420141i
\(956\) −2.47239 + 2.47239i −0.0799628 + 0.0799628i
\(957\) 1.40517 + 0.731771i 0.0454227 + 0.0236548i
\(958\) −48.4969 + 32.4046i −1.56686 + 1.04695i
\(959\) −1.93776 + 9.74180i −0.0625737 + 0.314579i
\(960\) −4.21895 + 1.74755i −0.136166 + 0.0564018i
\(961\) −0.0866315 0.209147i −0.00279456 0.00674667i
\(962\) −0.233857 + 1.17568i −0.00753986 + 0.0379054i
\(963\) −19.3280 + 12.9146i −0.622838 + 0.416167i
\(964\) −9.07710 + 1.80555i −0.292354 + 0.0581528i
\(965\) 5.60295 + 5.60295i 0.180365 + 0.180365i
\(966\) −10.8493 + 16.2371i −0.349070 + 0.522421i
\(967\) 7.71989 18.6375i 0.248255 0.599340i −0.749801 0.661663i \(-0.769851\pi\)
0.998056 + 0.0623228i \(0.0198508\pi\)
\(968\) 5.23263 + 23.6386i 0.168183 + 0.759774i
\(969\) −5.12086 3.15106i −0.164506 0.101227i
\(970\) 0.0133900i 0.000429926i
\(971\) 0.314447 0.759143i 0.0100911 0.0243621i −0.918754 0.394831i \(-0.870803\pi\)
0.928845 + 0.370469i \(0.120803\pi\)
\(972\) −7.36962 4.92422i −0.236381 0.157944i
\(973\) 10.9510 + 10.9510i 0.351073 + 0.351073i
\(974\) −7.81040 39.2656i −0.250262 1.25815i
\(975\) −4.46480 6.68205i −0.142988 0.213997i
\(976\) −6.66910 + 33.5278i −0.213473 + 1.07320i
\(977\) 19.9576 8.26672i 0.638501 0.264476i −0.0398592 0.999205i \(-0.512691\pi\)
0.678360 + 0.734730i \(0.262691\pi\)
\(978\) −32.5641 + 13.4885i −1.04128 + 0.431314i
\(979\) 17.4823 + 20.8414i 0.558737 + 0.666093i
\(980\) 1.67420 + 2.50562i 0.0534804 + 0.0800391i
\(981\) 17.7146 3.52366i 0.565584 0.112502i
\(982\) −9.90892 + 9.90892i −0.316206 + 0.316206i
\(983\) 17.4512 26.1176i 0.556608 0.833022i −0.441321 0.897349i \(-0.645490\pi\)
0.997929 + 0.0643271i \(0.0204901\pi\)
\(984\) −16.6737 6.90648i −0.531539 0.220171i
\(985\) 21.6425 0.689588
\(986\) −2.53432 + 0.603501i −0.0807091 + 0.0192194i
\(987\) 5.82619i 0.185450i
\(988\) 0.463256 1.11840i 0.0147381 0.0355810i
\(989\) −40.9675 + 61.3122i −1.30269 + 1.94961i
\(990\) 0.808274 + 7.39121i 0.0256886 + 0.234908i
\(991\) 4.78391 0.951579i 0.151966 0.0302279i −0.118521 0.992952i \(-0.537815\pi\)
0.270487 + 0.962724i \(0.412815\pi\)
\(992\) −10.9614 16.4048i −0.348024 0.520854i
\(993\) 7.67297 + 1.52625i 0.243494 + 0.0484340i
\(994\) −3.28648 + 1.36131i −0.104241 + 0.0431780i
\(995\) 3.66712 + 8.85321i 0.116256 + 0.280666i
\(996\) 4.70188 + 0.935263i 0.148985 + 0.0296349i
\(997\) 1.13690 0.759653i 0.0360060 0.0240585i −0.537437 0.843304i \(-0.680607\pi\)
0.573443 + 0.819245i \(0.305607\pi\)
\(998\) −9.37872 + 1.86554i −0.296878 + 0.0590528i
\(999\) −1.82258 + 1.82258i −0.0576637 + 0.0576637i
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 187.2.m.a.10.4 128
11.10 odd 2 inner 187.2.m.a.10.13 yes 128
17.12 odd 16 inner 187.2.m.a.131.13 yes 128
187.131 even 16 inner 187.2.m.a.131.4 yes 128
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
187.2.m.a.10.4 128 1.1 even 1 trivial
187.2.m.a.10.13 yes 128 11.10 odd 2 inner
187.2.m.a.131.4 yes 128 187.131 even 16 inner
187.2.m.a.131.13 yes 128 17.12 odd 16 inner