Properties

Label 289.2.i.a.100.14
Level $289$
Weight $2$
Character 289.100
Analytic conductor $2.308$
Analytic rank $0$
Dimension $1600$
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] = [289,2,Mod(2,289)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(289, base_ring=CyclotomicField(136))
 
chi = DirichletCharacter(H, H._module([95]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("289.2");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 289 = 17^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 289.i (of order \(136\), degree \(64\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.30767661842\)
Analytic rank: \(0\)
Dimension: \(1600\)
Relative dimension: \(25\) over \(\Q(\zeta_{136})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{136}]$

Embedding invariants

Embedding label 100.14
Character \(\chi\) \(=\) 289.100
Dual form 289.2.i.a.263.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0672833 + 0.152382i) q^{2} +(0.941926 + 0.244631i) q^{3} +(1.32870 - 1.45751i) q^{4} +(0.199179 - 2.86956i) q^{5} +(0.0260985 + 0.159992i) q^{6} +(-0.539360 + 4.64901i) q^{7} +(0.627378 + 0.210276i) q^{8} +(-1.79349 - 0.998965i) q^{9} +O(q^{10})\) \(q+(0.0672833 + 0.152382i) q^{2} +(0.941926 + 0.244631i) q^{3} +(1.32870 - 1.45751i) q^{4} +(0.199179 - 2.86956i) q^{5} +(0.0260985 + 0.159992i) q^{6} +(-0.539360 + 4.64901i) q^{7} +(0.627378 + 0.210276i) q^{8} +(-1.79349 - 0.998965i) q^{9} +(0.450671 - 0.162722i) q^{10} +(5.19824 - 2.44024i) q^{11} +(1.60809 - 1.04783i) q^{12} +(0.105801 - 0.0526828i) q^{13} +(-0.744716 + 0.230612i) q^{14} +(0.889595 - 2.65419i) q^{15} +(-0.353783 - 3.81793i) q^{16} +(-2.53610 + 3.25088i) q^{17} +(0.0315528 - 0.340509i) q^{18} +(-2.63721 - 1.16444i) q^{19} +(-3.91777 - 4.10309i) q^{20} +(-1.64533 + 4.24708i) q^{21} +(0.721604 + 0.627931i) q^{22} +(1.86294 + 0.216131i) q^{23} +(0.539504 + 0.351540i) q^{24} +(-3.24266 - 0.452332i) q^{25} +(0.0151466 + 0.0125776i) q^{26} +(-3.55650 - 3.39587i) q^{27} +(6.05935 + 6.96326i) q^{28} +(2.91238 + 1.05156i) q^{29} +(0.464306 - 0.0430243i) q^{30} +(-3.10463 + 3.56777i) q^{31} +(1.71410 - 0.954745i) q^{32} +(5.49332 - 1.02688i) q^{33} +(-0.666012 - 0.167726i) q^{34} +(13.2332 + 2.47371i) q^{35} +(-3.83901 + 1.28671i) q^{36} +(0.729231 + 3.45693i) q^{37} -0.480212i q^{38} +(0.112545 - 0.0237411i) q^{39} +(0.728360 - 1.75842i) q^{40} +(-5.69204 + 3.34500i) q^{41} +(-0.757882 + 0.0350390i) q^{42} +(6.37074 + 7.67200i) q^{43} +(3.35021 - 10.8188i) q^{44} +(-3.22382 + 4.94755i) q^{45} +(0.0924101 + 0.298420i) q^{46} +(2.01499 + 0.573313i) q^{47} +(0.600745 - 3.68275i) q^{48} +(-14.5084 - 3.41233i) q^{49} +(-0.149249 - 0.524557i) q^{50} +(-3.18408 + 2.44168i) q^{51} +(0.0637922 - 0.224206i) q^{52} +(-5.78224 + 10.3811i) q^{53} +(0.278177 - 0.770433i) q^{54} +(-5.96704 - 15.4027i) q^{55} +(-1.31596 + 2.80327i) q^{56} +(-2.19920 - 1.74196i) q^{57} +(0.0357153 + 0.514548i) q^{58} +(-3.90182 + 0.917699i) q^{59} +(-2.68651 - 4.82321i) q^{60} +(-2.68889 + 0.438622i) q^{61} +(-0.752553 - 0.233039i) q^{62} +(5.61154 - 7.79914i) q^{63} +(-5.85884 - 4.42439i) q^{64} +(-0.130103 - 0.314097i) q^{65} +(0.526086 + 0.767991i) q^{66} +(-10.4268 + 4.03935i) q^{67} +(1.36849 + 8.01583i) q^{68} +(1.70188 + 0.659311i) q^{69} +(0.513423 + 2.18294i) q^{70} +(8.98302 - 7.11535i) q^{71} +(-0.915136 - 1.00386i) q^{72} +(-6.80715 - 12.9141i) q^{73} +(-0.477709 + 0.343715i) q^{74} +(-2.94369 - 1.21932i) q^{75} +(-5.20125 + 2.29658i) q^{76} +(8.54099 + 25.4829i) q^{77} +(0.0111901 + 0.0155524i) q^{78} +(0.0630245 - 2.72786i) q^{79} +(-11.0262 + 0.254751i) q^{80} +(0.722960 + 1.16762i) q^{81} +(-0.892697 - 0.642302i) q^{82} +(0.184675 - 1.32389i) q^{83} +(4.00403 + 8.04118i) q^{84} +(8.82346 + 7.92500i) q^{85} +(-0.740430 + 1.48698i) q^{86} +(2.48601 + 1.70295i) q^{87} +(3.77439 - 0.437890i) q^{88} +(13.9415 + 6.94206i) q^{89} +(-0.970826 - 0.158365i) q^{90} +(0.187858 + 0.520287i) q^{91} +(2.79029 - 2.42808i) q^{92} +(-3.79712 + 2.60108i) q^{93} +(0.0482122 + 0.345622i) q^{94} +(-3.86672 + 7.33571i) q^{95} +(1.84811 - 0.479979i) q^{96} +(0.234817 + 0.296453i) q^{97} +(-0.456191 - 2.44041i) q^{98} +(-11.7607 - 0.816321i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1600 q - 64 q^{2} - 64 q^{3} - 68 q^{4} - 68 q^{5} - 72 q^{6} - 64 q^{7} - 72 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1600 q - 64 q^{2} - 64 q^{3} - 68 q^{4} - 68 q^{5} - 72 q^{6} - 64 q^{7} - 72 q^{8} - 76 q^{9} - 72 q^{10} - 64 q^{11} - 64 q^{12} - 68 q^{13} - 72 q^{14} - 60 q^{15} + 40 q^{16} - 68 q^{17} - 72 q^{18} - 76 q^{19} - 72 q^{20} - 68 q^{21} - 80 q^{22} - 72 q^{23} + 260 q^{24} - 64 q^{25} - 64 q^{26} - 76 q^{27} - 72 q^{28} - 64 q^{29} - 68 q^{30} - 56 q^{31} - 72 q^{32} - 44 q^{33} - 48 q^{34} - 92 q^{35} - 68 q^{36} - 68 q^{37} + 204 q^{39} - 60 q^{40} - 64 q^{41} - 60 q^{42} - 60 q^{43} - 48 q^{44} - 80 q^{45} - 88 q^{46} - 68 q^{47} - 80 q^{48} - 76 q^{49} - 32 q^{50} - 96 q^{51} - 116 q^{52} - 64 q^{53} + 484 q^{54} - 68 q^{55} - 48 q^{56} - 44 q^{57} - 68 q^{58} - 68 q^{59} - 60 q^{60} - 68 q^{61} + 352 q^{62} - 56 q^{63} - 68 q^{64} - 64 q^{65} - 76 q^{66} - 44 q^{67} - 80 q^{68} - 92 q^{69} - 60 q^{70} - 88 q^{71} - 68 q^{72} - 40 q^{73} - 88 q^{74} - 56 q^{75} + 60 q^{76} + 604 q^{77} - 60 q^{78} - 64 q^{79} - 68 q^{80} - 68 q^{81} - 72 q^{82} - 84 q^{83} - 4 q^{84} + 268 q^{85} - 132 q^{86} - 84 q^{87} - 80 q^{88} - 68 q^{89} - 72 q^{90} - 68 q^{91} + 232 q^{92} - 92 q^{93} - 44 q^{94} - 60 q^{95} - 48 q^{96} - 92 q^{97} - 68 q^{98} - 64 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/289\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{11}{136}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0672833 + 0.152382i 0.0475764 + 0.107750i 0.936994 0.349345i \(-0.113596\pi\)
−0.889418 + 0.457095i \(0.848890\pi\)
\(3\) 0.941926 + 0.244631i 0.543821 + 0.141238i 0.513161 0.858292i \(-0.328474\pi\)
0.0306602 + 0.999530i \(0.490239\pi\)
\(4\) 1.32870 1.45751i 0.664349 0.728756i
\(5\) 0.199179 2.86956i 0.0890756 1.28331i −0.719325 0.694674i \(-0.755549\pi\)
0.808400 0.588633i \(-0.200334\pi\)
\(6\) 0.0260985 + 0.159992i 0.0106547 + 0.0653165i
\(7\) −0.539360 + 4.64901i −0.203859 + 1.75716i 0.361551 + 0.932352i \(0.382247\pi\)
−0.565410 + 0.824810i \(0.691282\pi\)
\(8\) 0.627378 + 0.210276i 0.221812 + 0.0743438i
\(9\) −1.79349 0.998965i −0.597829 0.332988i
\(10\) 0.450671 0.162722i 0.142515 0.0514573i
\(11\) 5.19824 2.44024i 1.56733 0.735761i 0.570966 0.820974i \(-0.306569\pi\)
0.996363 + 0.0852134i \(0.0271572\pi\)
\(12\) 1.60809 1.04783i 0.464215 0.302482i
\(13\) 0.105801 0.0526828i 0.0293440 0.0146116i −0.431006 0.902349i \(-0.641841\pi\)
0.460350 + 0.887737i \(0.347724\pi\)
\(14\) −0.744716 + 0.230612i −0.199034 + 0.0616336i
\(15\) 0.889595 2.65419i 0.229692 0.685309i
\(16\) −0.353783 3.81793i −0.0884458 0.954482i
\(17\) −2.53610 + 3.25088i −0.615094 + 0.788454i
\(18\) 0.0315528 0.340509i 0.00743706 0.0802587i
\(19\) −2.63721 1.16444i −0.605018 0.267142i 0.0786877 0.996899i \(-0.474927\pi\)
−0.683706 + 0.729758i \(0.739633\pi\)
\(20\) −3.91777 4.10309i −0.876041 0.917478i
\(21\) −1.64533 + 4.24708i −0.359040 + 0.926790i
\(22\) 0.721604 + 0.627931i 0.153846 + 0.133875i
\(23\) 1.86294 + 0.216131i 0.388449 + 0.0450664i 0.307243 0.951631i \(-0.400593\pi\)
0.0812059 + 0.996697i \(0.474123\pi\)
\(24\) 0.539504 + 0.351540i 0.110126 + 0.0717579i
\(25\) −3.24266 0.452332i −0.648532 0.0904663i
\(26\) 0.0151466 + 0.0125776i 0.00297049 + 0.00246666i
\(27\) −3.55650 3.39587i −0.684449 0.653536i
\(28\) 6.05935 + 6.96326i 1.14511 + 1.31593i
\(29\) 2.91238 + 1.05156i 0.540816 + 0.195270i 0.595678 0.803224i \(-0.296884\pi\)
−0.0548617 + 0.998494i \(0.517472\pi\)
\(30\) 0.464306 0.0430243i 0.0847702 0.00785512i
\(31\) −3.10463 + 3.56777i −0.557608 + 0.640790i −0.961757 0.273903i \(-0.911685\pi\)
0.404150 + 0.914693i \(0.367568\pi\)
\(32\) 1.71410 0.954745i 0.303012 0.168777i
\(33\) 5.49332 1.02688i 0.956264 0.178757i
\(34\) −0.666012 0.167726i −0.114220 0.0287648i
\(35\) 13.2332 + 2.47371i 2.23682 + 0.418134i
\(36\) −3.83901 + 1.28671i −0.639834 + 0.214451i
\(37\) 0.729231 + 3.45693i 0.119885 + 0.568316i 0.996239 + 0.0866486i \(0.0276157\pi\)
−0.876354 + 0.481667i \(0.840031\pi\)
\(38\) 0.480212i 0.0779006i
\(39\) 0.112545 0.0237411i 0.0180216 0.00380161i
\(40\) 0.728360 1.75842i 0.115164 0.278030i
\(41\) −5.69204 + 3.34500i −0.888947 + 0.522401i −0.878607 0.477545i \(-0.841527\pi\)
−0.0103398 + 0.999947i \(0.503291\pi\)
\(42\) −0.757882 + 0.0350390i −0.116944 + 0.00540664i
\(43\) 6.37074 + 7.67200i 0.971529 + 1.16997i 0.985433 + 0.170065i \(0.0543978\pi\)
−0.0139034 + 0.999903i \(0.504426\pi\)
\(44\) 3.35021 10.8188i 0.505063 1.63100i
\(45\) −3.22382 + 4.94755i −0.480578 + 0.737537i
\(46\) 0.0924101 + 0.298420i 0.0136251 + 0.0439997i
\(47\) 2.01499 + 0.573313i 0.293916 + 0.0836263i 0.417408 0.908719i \(-0.362939\pi\)
−0.123492 + 0.992346i \(0.539409\pi\)
\(48\) 0.600745 3.68275i 0.0867101 0.531560i
\(49\) −14.5084 3.41233i −2.07262 0.487476i
\(50\) −0.149249 0.524557i −0.0211071 0.0741836i
\(51\) −3.18408 + 2.44168i −0.445861 + 0.341903i
\(52\) 0.0637922 0.224206i 0.00884639 0.0310918i
\(53\) −5.78224 + 10.3811i −0.794252 + 1.42596i 0.107729 + 0.994180i \(0.465642\pi\)
−0.901981 + 0.431776i \(0.857887\pi\)
\(54\) 0.278177 0.770433i 0.0378551 0.104843i
\(55\) −5.96704 15.4027i −0.804596 2.07690i
\(56\) −1.31596 + 2.80327i −0.175852 + 0.374603i
\(57\) −2.19920 1.74196i −0.291291 0.230729i
\(58\) 0.0357153 + 0.514548i 0.00468964 + 0.0675634i
\(59\) −3.90182 + 0.917699i −0.507973 + 0.119474i −0.475007 0.879982i \(-0.657554\pi\)
−0.0329667 + 0.999456i \(0.510496\pi\)
\(60\) −2.68651 4.82321i −0.346827 0.622674i
\(61\) −2.68889 + 0.438622i −0.344277 + 0.0561598i −0.330667 0.943748i \(-0.607274\pi\)
−0.0136103 + 0.999907i \(0.504332\pi\)
\(62\) −0.752553 0.233039i −0.0955743 0.0295960i
\(63\) 5.61154 7.79914i 0.706988 0.982599i
\(64\) −5.85884 4.42439i −0.732355 0.553048i
\(65\) −0.130103 0.314097i −0.0161373 0.0389589i
\(66\) 0.526086 + 0.767991i 0.0647567 + 0.0945332i
\(67\) −10.4268 + 4.03935i −1.27383 + 0.493486i −0.900760 0.434317i \(-0.856990\pi\)
−0.373073 + 0.927802i \(0.621696\pi\)
\(68\) 1.36849 + 8.01583i 0.165953 + 0.972062i
\(69\) 1.70188 + 0.659311i 0.204882 + 0.0793717i
\(70\) 0.513423 + 2.18294i 0.0613658 + 0.260911i
\(71\) 8.98302 7.11535i 1.06609 0.844437i 0.0777902 0.996970i \(-0.475214\pi\)
0.988298 + 0.152533i \(0.0487430\pi\)
\(72\) −0.915136 1.00386i −0.107850 0.118306i
\(73\) −6.80715 12.9141i −0.796716 1.51148i −0.858166 0.513373i \(-0.828396\pi\)
0.0614491 0.998110i \(-0.480428\pi\)
\(74\) −0.477709 + 0.343715i −0.0555326 + 0.0399561i
\(75\) −2.94369 1.21932i −0.339908 0.140795i
\(76\) −5.20125 + 2.29658i −0.596624 + 0.263435i
\(77\) 8.54099 + 25.4829i 0.973337 + 2.90404i
\(78\) 0.0111901 + 0.0155524i 0.00126703 + 0.00176097i
\(79\) 0.0630245 2.72786i 0.00709081 0.306908i −0.984340 0.176278i \(-0.943594\pi\)
0.991431 0.130630i \(-0.0416999\pi\)
\(80\) −11.0262 + 0.254751i −1.23277 + 0.0284820i
\(81\) 0.722960 + 1.16762i 0.0803288 + 0.129736i
\(82\) −0.892697 0.642302i −0.0985819 0.0709304i
\(83\) 0.184675 1.32389i 0.0202708 0.145316i −0.977606 0.210442i \(-0.932510\pi\)
0.997877 + 0.0651259i \(0.0207449\pi\)
\(84\) 4.00403 + 8.04118i 0.436876 + 0.877364i
\(85\) 8.82346 + 7.92500i 0.957038 + 0.859587i
\(86\) −0.740430 + 1.48698i −0.0798426 + 0.160346i
\(87\) 2.48601 + 1.70295i 0.266528 + 0.182576i
\(88\) 3.77439 0.437890i 0.402351 0.0466792i
\(89\) 13.9415 + 6.94206i 1.47780 + 0.735857i 0.990517 0.137388i \(-0.0438707\pi\)
0.487282 + 0.873245i \(0.337988\pi\)
\(90\) −0.970826 0.158365i −0.102334 0.0166931i
\(91\) 0.187858 + 0.520287i 0.0196929 + 0.0545409i
\(92\) 2.79029 2.42808i 0.290908 0.253145i
\(93\) −3.79712 + 2.60108i −0.393743 + 0.269720i
\(94\) 0.0482122 + 0.345622i 0.00497271 + 0.0356482i
\(95\) −3.86672 + 7.33571i −0.396717 + 0.752628i
\(96\) 1.84811 0.479979i 0.188622 0.0489876i
\(97\) 0.234817 + 0.296453i 0.0238420 + 0.0301002i 0.795661 0.605742i \(-0.207124\pi\)
−0.771819 + 0.635842i \(0.780653\pi\)
\(98\) −0.456191 2.44041i −0.0460822 0.246518i
\(99\) −11.7607 0.816321i −1.18199 0.0820434i
\(100\) −4.96779 + 4.12520i −0.496779 + 0.412520i
\(101\) 3.35075 2.07470i 0.333412 0.206440i −0.349508 0.936934i \(-0.613651\pi\)
0.682920 + 0.730494i \(0.260710\pi\)
\(102\) −0.586303 0.320913i −0.0580527 0.0317751i
\(103\) −3.81769 2.36382i −0.376169 0.232914i 0.325305 0.945609i \(-0.394533\pi\)
−0.701474 + 0.712695i \(0.747474\pi\)
\(104\) 0.0774554 0.0108046i 0.00759513 0.00105947i
\(105\) 11.8596 + 5.56730i 1.15737 + 0.543313i
\(106\) −1.97094 0.182635i −0.191435 0.0177391i
\(107\) −0.00433428 + 0.00413853i −0.000419011 + 0.000400086i −0.690795 0.723051i \(-0.742739\pi\)
0.690376 + 0.723451i \(0.257445\pi\)
\(108\) −9.67505 + 0.671555i −0.930982 + 0.0646204i
\(109\) −2.35568 9.07031i −0.225633 0.868778i −0.977754 0.209753i \(-0.932734\pi\)
0.752121 0.659025i \(-0.229031\pi\)
\(110\) 1.94562 1.94562i 0.185507 0.185507i
\(111\) −0.158790 + 3.43457i −0.0150716 + 0.325995i
\(112\) 17.9404 + 0.414497i 1.69521 + 0.0391662i
\(113\) −1.43326 2.43891i −0.134830 0.229434i 0.787069 0.616865i \(-0.211598\pi\)
−0.921899 + 0.387431i \(0.873362\pi\)
\(114\) 0.117474 0.452324i 0.0110025 0.0423640i
\(115\) 0.991259 5.30276i 0.0924353 0.494485i
\(116\) 5.40235 2.84762i 0.501595 0.264395i
\(117\) −0.242382 0.0112060i −0.0224082 0.00103599i
\(118\) −0.402368 0.532821i −0.0370410 0.0490502i
\(119\) −13.7455 13.5437i −1.26005 1.24155i
\(120\) 1.11622 1.47812i 0.101897 0.134933i
\(121\) 14.0396 16.9073i 1.27633 1.53702i
\(122\) −0.247755 0.380227i −0.0224307 0.0344241i
\(123\) −6.17977 + 1.75830i −0.557211 + 0.158540i
\(124\) 1.07495 + 9.26552i 0.0965333 + 0.832068i
\(125\) 1.02472 4.85771i 0.0916540 0.434487i
\(126\) 1.56601 + 0.330346i 0.139511 + 0.0294296i
\(127\) 5.65589 8.25658i 0.501879 0.732653i −0.488267 0.872694i \(-0.662371\pi\)
0.990146 + 0.140042i \(0.0447237\pi\)
\(128\) 1.17842 5.01035i 0.104159 0.442856i
\(129\) 4.12397 + 8.78493i 0.363095 + 0.773470i
\(130\) 0.0391090 0.0409588i 0.00343008 0.00359233i
\(131\) 3.37521 1.39806i 0.294894 0.122149i −0.230331 0.973112i \(-0.573981\pi\)
0.525225 + 0.850963i \(0.323981\pi\)
\(132\) 5.80227 9.37099i 0.505023 0.815640i
\(133\) 6.83592 11.6324i 0.592750 1.00866i
\(134\) −1.31707 1.31707i −0.113778 0.113778i
\(135\) −10.4531 + 9.52921i −0.899655 + 0.820144i
\(136\) −2.27467 + 1.50625i −0.195052 + 0.129160i
\(137\) −5.74098 5.23360i −0.490485 0.447136i 0.390275 0.920698i \(-0.372380\pi\)
−0.880761 + 0.473562i \(0.842968\pi\)
\(138\) 0.0140407 + 0.303696i 0.00119523 + 0.0258523i
\(139\) 0.109571 + 4.74249i 0.00929367 + 0.402253i 0.983940 + 0.178501i \(0.0571247\pi\)
−0.974646 + 0.223752i \(0.928169\pi\)
\(140\) 21.1884 16.0007i 1.79075 1.35231i
\(141\) 1.75772 + 1.03295i 0.148027 + 0.0869897i
\(142\) 1.68866 + 0.890107i 0.141709 + 0.0746961i
\(143\) 0.421422 0.532039i 0.0352411 0.0444913i
\(144\) −3.17947 + 7.20082i −0.264956 + 0.600069i
\(145\) 3.59761 8.14781i 0.298765 0.676639i
\(146\) 1.50987 1.90619i 0.124958 0.157758i
\(147\) −12.8310 6.76335i −1.05829 0.557832i
\(148\) 6.00745 + 3.53035i 0.493809 + 0.290193i
\(149\) 3.56091 2.68908i 0.291721 0.220298i −0.446622 0.894723i \(-0.647373\pi\)
0.738343 + 0.674425i \(0.235608\pi\)
\(150\) −0.0122591 0.530605i −0.00100095 0.0433237i
\(151\) 1.03596 + 22.4076i 0.0843056 + 1.82350i 0.450292 + 0.892881i \(0.351320\pi\)
−0.365987 + 0.930620i \(0.619268\pi\)
\(152\) −1.40968 1.28509i −0.114340 0.104234i
\(153\) 7.79597 3.29693i 0.630267 0.266541i
\(154\) −3.30846 + 3.01606i −0.266604 + 0.243041i
\(155\) 9.61955 + 9.61955i 0.772661 + 0.772661i
\(156\) 0.114935 0.195580i 0.00920219 0.0156590i
\(157\) −6.75918 + 10.9164i −0.539441 + 0.871227i −0.999864 0.0164724i \(-0.994756\pi\)
0.460423 + 0.887699i \(0.347698\pi\)
\(158\) 0.419917 0.173935i 0.0334068 0.0138375i
\(159\) −7.98598 + 8.36373i −0.633330 + 0.663287i
\(160\) −2.39829 5.10887i −0.189601 0.403892i
\(161\) −2.00959 + 8.54425i −0.158378 + 0.673381i
\(162\) −0.129281 + 0.188727i −0.0101573 + 0.0148278i
\(163\) −5.94900 1.25493i −0.465962 0.0982935i −0.0325123 0.999471i \(-0.510351\pi\)
−0.433450 + 0.901178i \(0.642704\pi\)
\(164\) −2.68762 + 12.7407i −0.209868 + 0.994882i
\(165\) −1.85254 15.9679i −0.144220 1.24310i
\(166\) 0.214163 0.0609347i 0.0166223 0.00472945i
\(167\) −0.865298 1.32796i −0.0669588 0.102761i 0.802774 0.596283i \(-0.203356\pi\)
−0.869733 + 0.493522i \(0.835709\pi\)
\(168\) −1.92530 + 2.31855i −0.148540 + 0.178880i
\(169\) −7.82583 + 10.3631i −0.601987 + 0.797160i
\(170\) −0.613956 + 1.87776i −0.0470883 + 0.144017i
\(171\) 3.56657 + 4.72290i 0.272742 + 0.361169i
\(172\) 19.6468 + 0.908328i 1.49806 + 0.0692593i
\(173\) 17.9420 9.45737i 1.36410 0.719031i 0.385099 0.922875i \(-0.374167\pi\)
0.979003 + 0.203844i \(0.0653437\pi\)
\(174\) −0.0922330 + 0.493403i −0.00699216 + 0.0374048i
\(175\) 3.85186 14.8312i 0.291173 1.12113i
\(176\) −11.1557 18.9832i −0.840894 1.43091i
\(177\) −3.89972 0.0900994i −0.293121 0.00677228i
\(178\) −0.119813 + 2.59152i −0.00898039 + 0.194243i
\(179\) 10.6906 10.6906i 0.799056 0.799056i −0.183891 0.982947i \(-0.558869\pi\)
0.982947 + 0.183891i \(0.0588692\pi\)
\(180\) 2.92763 + 11.2726i 0.218213 + 0.840206i
\(181\) 8.32100 0.577569i 0.618495 0.0429303i 0.243414 0.969922i \(-0.421733\pi\)
0.375081 + 0.926992i \(0.377615\pi\)
\(182\) −0.0666427 + 0.0636328i −0.00493989 + 0.00471678i
\(183\) −2.64004 0.244635i −0.195157 0.0180840i
\(184\) 1.12332 + 0.527327i 0.0828122 + 0.0388750i
\(185\) 10.0651 1.40402i 0.740003 0.103226i
\(186\) −0.651841 0.403603i −0.0477953 0.0295936i
\(187\) −5.25032 + 23.0875i −0.383941 + 1.68833i
\(188\) 3.51292 2.17511i 0.256206 0.158636i
\(189\) 17.7057 14.7026i 1.28790 1.06946i
\(190\) −1.37800 0.0956481i −0.0999704 0.00693904i
\(191\) −3.13456 16.7684i −0.226809 1.21332i −0.886839 0.462079i \(-0.847104\pi\)
0.660030 0.751239i \(-0.270544\pi\)
\(192\) −4.43625 5.60070i −0.320159 0.404196i
\(193\) 5.43374 1.41121i 0.391129 0.101581i −0.0506246 0.998718i \(-0.516121\pi\)
0.441754 + 0.897136i \(0.354356\pi\)
\(194\) −0.0293748 + 0.0557282i −0.00210899 + 0.00400105i
\(195\) −0.0457099 0.327683i −0.00327335 0.0234659i
\(196\) −24.2507 + 16.6121i −1.73220 + 1.18658i
\(197\) −0.308673 + 0.268604i −0.0219921 + 0.0191372i −0.667373 0.744724i \(-0.732581\pi\)
0.645381 + 0.763861i \(0.276699\pi\)
\(198\) −0.666905 1.84704i −0.0473949 0.131264i
\(199\) 19.9111 + 3.24798i 1.41146 + 0.230243i 0.818277 0.574824i \(-0.194929\pi\)
0.593184 + 0.805067i \(0.297870\pi\)
\(200\) −1.93926 0.965636i −0.137126 0.0682808i
\(201\) −10.8094 + 1.25406i −0.762436 + 0.0884549i
\(202\) 0.541596 + 0.371002i 0.0381065 + 0.0261036i
\(203\) −6.45956 + 12.9725i −0.453372 + 0.910494i
\(204\) −0.671905 + 7.88509i −0.0470428 + 0.552067i
\(205\) 8.46495 + 16.9999i 0.591217 + 1.18732i
\(206\) 0.103336 0.740793i 0.00719978 0.0516135i
\(207\) −3.12525 2.24864i −0.217220 0.156291i
\(208\) −0.238570 0.385304i −0.0165419 0.0267160i
\(209\) −16.5504 + 0.382381i −1.14481 + 0.0264499i
\(210\) −0.0504077 + 2.18177i −0.00347846 + 0.150556i
\(211\) −10.8188 15.0365i −0.744800 1.03515i −0.997708 0.0676620i \(-0.978446\pi\)
0.252909 0.967490i \(-0.418613\pi\)
\(212\) 7.44775 + 22.2211i 0.511513 + 1.52615i
\(213\) 10.2020 4.50461i 0.699028 0.308651i
\(214\) −0.000922262 0 0.000382013i −6.30445e−5 0 2.61139e-5i
\(215\) 23.2842 16.7531i 1.58797 1.14255i
\(216\) −1.51720 2.87834i −0.103232 0.195847i
\(217\) −14.9121 16.3578i −1.01230 1.11044i
\(218\) 1.22366 0.969244i 0.0828764 0.0656455i
\(219\) −3.25264 13.8294i −0.219793 0.934503i
\(220\) −30.3780 11.7685i −2.04809 0.793433i
\(221\) −0.0970573 + 0.477556i −0.00652878 + 0.0321239i
\(222\) −0.534050 + 0.206892i −0.0358431 + 0.0138857i
\(223\) −14.7705 21.5623i −0.989108 1.44392i −0.893797 0.448472i \(-0.851968\pi\)
−0.0953116 0.995447i \(-0.530385\pi\)
\(224\) 3.51411 + 8.48381i 0.234796 + 0.566848i
\(225\) 5.36380 + 4.05055i 0.357587 + 0.270037i
\(226\) 0.275212 0.382501i 0.0183069 0.0254436i
\(227\) −23.7204 7.34535i −1.57438 0.487528i −0.619617 0.784904i \(-0.712712\pi\)
−0.954760 + 0.297376i \(0.903888\pi\)
\(228\) −5.46101 + 0.890820i −0.361664 + 0.0589960i
\(229\) 5.82794 + 10.4632i 0.385121 + 0.691425i 0.994869 0.101171i \(-0.0322588\pi\)
−0.609748 + 0.792595i \(0.708729\pi\)
\(230\) 0.874741 0.205737i 0.0576787 0.0135659i
\(231\) 1.81110 + 26.0924i 0.119161 + 1.71675i
\(232\) 1.60605 + 1.27213i 0.105442 + 0.0835196i
\(233\) 8.01639 17.0766i 0.525171 1.11873i −0.449127 0.893468i \(-0.648265\pi\)
0.974299 0.225260i \(-0.0723232\pi\)
\(234\) −0.0146006 0.0376886i −0.000954473 0.00246378i
\(235\) 2.04650 5.66793i 0.133499 0.369735i
\(236\) −3.84678 + 6.90629i −0.250404 + 0.449561i
\(237\) 0.726681 2.55402i 0.0472030 0.165901i
\(238\) 1.13898 3.00584i 0.0738292 0.194839i
\(239\) 0.345177 + 1.21317i 0.0223276 + 0.0784735i 0.972189 0.234198i \(-0.0752465\pi\)
−0.949861 + 0.312672i \(0.898776\pi\)
\(240\) −10.4482 2.45740i −0.674431 0.158625i
\(241\) −2.14080 + 13.1238i −0.137901 + 0.845375i 0.822910 + 0.568171i \(0.192349\pi\)
−0.960811 + 0.277204i \(0.910592\pi\)
\(242\) 3.52099 + 1.00181i 0.226338 + 0.0643987i
\(243\) 4.75912 + 15.3686i 0.305297 + 0.985898i
\(244\) −2.93342 + 4.50188i −0.187793 + 0.288204i
\(245\) −12.6817 + 40.9529i −0.810202 + 2.61639i
\(246\) −0.683728 0.823382i −0.0435929 0.0524969i
\(247\) −0.340367 + 0.0157361i −0.0216570 + 0.00100126i
\(248\) −2.69799 + 1.58551i −0.171323 + 0.100680i
\(249\) 0.497816 1.20183i 0.0315478 0.0761631i
\(250\) 0.809175 0.170694i 0.0511767 0.0107956i
\(251\) 16.4995i 1.04144i −0.853727 0.520721i \(-0.825663\pi\)
0.853727 0.520721i \(-0.174337\pi\)
\(252\) −3.91130 18.5416i −0.246389 1.16801i
\(253\) 10.2114 3.42252i 0.641986 0.215172i
\(254\) 1.63870 + 0.306326i 0.102821 + 0.0192206i
\(255\) 6.37235 + 9.62325i 0.399052 + 0.602631i
\(256\) −13.5907 + 2.54054i −0.849418 + 0.158784i
\(257\) −15.2393 + 8.48824i −0.950602 + 0.529482i −0.883585 0.468270i \(-0.844877\pi\)
−0.0670163 + 0.997752i \(0.521348\pi\)
\(258\) −1.06119 + 1.21950i −0.0660669 + 0.0759226i
\(259\) −16.4646 + 1.52567i −1.02306 + 0.0948007i
\(260\) −0.630668 0.227713i −0.0391124 0.0141222i
\(261\) −4.17285 4.79534i −0.258293 0.296824i
\(262\) 0.440135 + 0.420256i 0.0271916 + 0.0259635i
\(263\) 8.47958 + 7.04135i 0.522873 + 0.434188i 0.862265 0.506457i \(-0.169045\pi\)
−0.339392 + 0.940645i \(0.610221\pi\)
\(264\) 3.66231 + 0.510871i 0.225400 + 0.0314419i
\(265\) 28.6375 + 18.6602i 1.75919 + 1.14629i
\(266\) 2.23251 + 0.259007i 0.136884 + 0.0158807i
\(267\) 11.4337 + 9.94943i 0.699728 + 0.608895i
\(268\) −7.96663 + 20.5642i −0.486639 + 1.25616i
\(269\) 4.47376 + 4.68537i 0.272770 + 0.285672i 0.845391 0.534148i \(-0.179368\pi\)
−0.572621 + 0.819820i \(0.694073\pi\)
\(270\) −2.15540 0.951701i −0.131173 0.0579187i
\(271\) 1.21893 13.1543i 0.0740446 0.799069i −0.875041 0.484050i \(-0.839165\pi\)
0.949085 0.315019i \(-0.102011\pi\)
\(272\) 13.3089 + 8.53254i 0.806968 + 0.517361i
\(273\) 0.0496703 + 0.536028i 0.00300618 + 0.0324419i
\(274\) 0.411234 1.22696i 0.0248436 0.0741231i
\(275\) −17.9599 + 5.56154i −1.08302 + 0.335374i
\(276\) 3.22223 1.60448i 0.193956 0.0965785i
\(277\) 26.2722 17.1189i 1.57854 1.02858i 0.606113 0.795379i \(-0.292728\pi\)
0.972429 0.233198i \(-0.0749191\pi\)
\(278\) −0.715298 + 0.335787i −0.0429007 + 0.0201391i
\(279\) 9.13218 3.29732i 0.546730 0.197406i
\(280\) 7.78206 + 4.33458i 0.465067 + 0.259041i
\(281\) −9.15953 3.06996i −0.546411 0.183139i 0.0311073 0.999516i \(-0.490097\pi\)
−0.577519 + 0.816377i \(0.695979\pi\)
\(282\) −0.0391374 + 0.337345i −0.00233060 + 0.0200886i
\(283\) 0.598988 + 3.67198i 0.0356061 + 0.218277i 0.998705 0.0508701i \(-0.0161995\pi\)
−0.963099 + 0.269147i \(0.913258\pi\)
\(284\) 1.56501 22.5470i 0.0928663 1.33792i
\(285\) −5.43670 + 5.96378i −0.322043 + 0.353264i
\(286\) 0.109428 + 0.0284199i 0.00647060 + 0.00168050i
\(287\) −12.4809 28.2665i −0.736724 1.66852i
\(288\) −4.02796 −0.237350
\(289\) −4.13641 16.4891i −0.243318 0.969946i
\(290\) 1.48364 0.0871223
\(291\) 0.148659 + 0.336680i 0.00871453 + 0.0197365i
\(292\) −27.8671 7.23746i −1.63080 0.423540i
\(293\) 13.4104 14.7105i 0.783442 0.859394i −0.209523 0.977804i \(-0.567191\pi\)
0.992965 + 0.118409i \(0.0377794\pi\)
\(294\) 0.167300 2.41028i 0.00975713 0.140570i
\(295\) 1.85623 + 11.3793i 0.108074 + 0.662528i
\(296\) −0.269406 + 2.32214i −0.0156589 + 0.134972i
\(297\) −26.7743 8.97384i −1.55360 0.520715i
\(298\) 0.649357 + 0.361690i 0.0376162 + 0.0209521i
\(299\) 0.208488 0.0752779i 0.0120572 0.00435343i
\(300\) −5.68845 + 2.67036i −0.328423 + 0.154173i
\(301\) −39.1033 + 25.4797i −2.25388 + 1.46863i
\(302\) −3.34481 + 1.66552i −0.192472 + 0.0958397i
\(303\) 3.66369 1.13451i 0.210474 0.0651761i
\(304\) −3.51276 + 10.4807i −0.201471 + 0.601107i
\(305\) 0.723082 + 7.80330i 0.0414036 + 0.446815i
\(306\) 1.02693 + 0.966138i 0.0587058 + 0.0552304i
\(307\) −1.86095 + 20.0828i −0.106210 + 1.14619i 0.761175 + 0.648547i \(0.224623\pi\)
−0.867384 + 0.497639i \(0.834201\pi\)
\(308\) 48.4900 + 21.4104i 2.76297 + 1.21997i
\(309\) −3.01772 3.16047i −0.171672 0.179793i
\(310\) −0.818612 + 2.11308i −0.0464940 + 0.120015i
\(311\) −24.6131 21.4180i −1.39568 1.21450i −0.947173 0.320723i \(-0.896074\pi\)
−0.448505 0.893780i \(-0.648044\pi\)
\(312\) 0.0756004 + 0.00877086i 0.00428003 + 0.000496552i
\(313\) −16.9038 11.0145i −0.955460 0.622577i −0.0292450 0.999572i \(-0.509310\pi\)
−0.926215 + 0.376995i \(0.876957\pi\)
\(314\) −2.11825 0.295483i −0.119540 0.0166751i
\(315\) −21.2624 17.6561i −1.19800 0.994808i
\(316\) −3.89214 3.71635i −0.218950 0.209061i
\(317\) −10.4974 12.0634i −0.589593 0.677547i 0.379229 0.925303i \(-0.376189\pi\)
−0.968822 + 0.247756i \(0.920307\pi\)
\(318\) −1.81181 0.654182i −0.101601 0.0366847i
\(319\) 17.7053 1.64064i 0.991309 0.0918583i
\(320\) −13.8630 + 15.9310i −0.774966 + 0.890573i
\(321\) −0.00509498 + 0.00283789i −0.000284374 + 0.000158395i
\(322\) −1.43720 + 0.268660i −0.0800921 + 0.0149718i
\(323\) 10.4737 5.62011i 0.582772 0.312712i
\(324\) 2.66241 + 0.497692i 0.147912 + 0.0276495i
\(325\) −0.366908 + 0.122975i −0.0203524 + 0.00682143i
\(326\) −0.209040 0.990957i −0.0115776 0.0548840i
\(327\) 9.11984i 0.504328i
\(328\) −4.27443 + 0.901681i −0.236016 + 0.0497870i
\(329\) −3.75214 + 9.05847i −0.206862 + 0.499410i
\(330\) 2.30858 1.35667i 0.127083 0.0746821i
\(331\) 15.3550 0.709903i 0.843986 0.0390198i 0.380133 0.924932i \(-0.375878\pi\)
0.463853 + 0.885912i \(0.346467\pi\)
\(332\) −1.68421 2.02822i −0.0924333 0.111313i
\(333\) 2.14549 6.92844i 0.117572 0.379676i
\(334\) 0.144137 0.221205i 0.00788684 0.0121038i
\(335\) 9.51438 + 30.7248i 0.519826 + 1.67868i
\(336\) 16.7972 + 4.77920i 0.916360 + 0.260727i
\(337\) −3.58337 + 21.9672i −0.195198 + 1.19663i 0.687322 + 0.726353i \(0.258786\pi\)
−0.882520 + 0.470274i \(0.844155\pi\)
\(338\) −2.10569 0.495255i −0.114535 0.0269383i
\(339\) −0.753392 2.64790i −0.0409186 0.143814i
\(340\) 23.2745 2.33037i 1.26224 0.126382i
\(341\) −7.43239 + 26.1221i −0.402487 + 1.41459i
\(342\) −0.479715 + 0.861253i −0.0259400 + 0.0465712i
\(343\) 12.5632 34.7948i 0.678350 1.87874i
\(344\) 2.38363 + 6.15286i 0.128517 + 0.331740i
\(345\) 2.23091 4.75232i 0.120108 0.255856i
\(346\) 2.64833 + 2.09771i 0.142375 + 0.112774i
\(347\) 0.568142 + 8.18519i 0.0304995 + 0.439404i 0.988356 + 0.152158i \(0.0486222\pi\)
−0.957857 + 0.287246i \(0.907260\pi\)
\(348\) 5.78523 1.36067i 0.310121 0.0729397i
\(349\) 8.66061 + 15.5488i 0.463592 + 0.832307i 0.999932 0.0116952i \(-0.00372277\pi\)
−0.536340 + 0.844002i \(0.680193\pi\)
\(350\) 2.51917 0.410937i 0.134655 0.0219655i
\(351\) −0.555187 0.171922i −0.0296337 0.00917649i
\(352\) 6.58047 9.14580i 0.350740 0.487473i
\(353\) 10.7023 + 8.08202i 0.569627 + 0.430162i 0.847760 0.530380i \(-0.177951\pi\)
−0.278133 + 0.960543i \(0.589716\pi\)
\(354\) −0.248656 0.600310i −0.0132159 0.0319061i
\(355\) −18.6287 27.1946i −0.988709 1.44334i
\(356\) 28.6422 11.0961i 1.51803 0.588090i
\(357\) −9.63403 16.1198i −0.509887 0.853149i
\(358\) 2.34836 + 0.909761i 0.124115 + 0.0480823i
\(359\) 7.17014 + 30.4856i 0.378425 + 1.60897i 0.737290 + 0.675577i \(0.236105\pi\)
−0.358864 + 0.933390i \(0.616836\pi\)
\(360\) −3.06290 + 2.42609i −0.161429 + 0.127866i
\(361\) −7.20125 7.89940i −0.379013 0.415758i
\(362\) 0.647875 + 1.22911i 0.0340516 + 0.0646006i
\(363\) 17.3603 12.4909i 0.911179 0.655600i
\(364\) 1.00793 + 0.417499i 0.0528300 + 0.0218829i
\(365\) −38.4137 + 16.9613i −2.01066 + 0.887795i
\(366\) −0.140352 0.418754i −0.00733632 0.0218886i
\(367\) 1.62556 + 2.25927i 0.0848537 + 0.117933i 0.852006 0.523532i \(-0.175386\pi\)
−0.767152 + 0.641465i \(0.778327\pi\)
\(368\) 0.166096 7.18903i 0.00865834 0.374754i
\(369\) 13.5501 0.313063i 0.705392 0.0162974i
\(370\) 0.891163 + 1.43928i 0.0463293 + 0.0748244i
\(371\) −45.1432 32.4809i −2.34372 1.68632i
\(372\) −1.25411 + 8.99040i −0.0650224 + 0.466130i
\(373\) 3.62861 + 7.28723i 0.187882 + 0.377319i 0.968998 0.247067i \(-0.0794669\pi\)
−0.781116 + 0.624386i \(0.785349\pi\)
\(374\) −3.87138 + 0.753350i −0.200185 + 0.0389548i
\(375\) 2.15356 4.32493i 0.111209 0.223338i
\(376\) 1.14360 + 0.783387i 0.0589769 + 0.0404001i
\(377\) 0.363533 0.0421757i 0.0187229 0.00217216i
\(378\) 3.43171 + 1.70879i 0.176508 + 0.0878907i
\(379\) 19.4387 + 3.17092i 0.998500 + 0.162879i 0.638129 0.769930i \(-0.279709\pi\)
0.360372 + 0.932809i \(0.382650\pi\)
\(380\) 5.55419 + 15.3827i 0.284924 + 0.789118i
\(381\) 7.34724 6.39348i 0.376410 0.327548i
\(382\) 2.34430 1.60588i 0.119945 0.0821641i
\(383\) −1.06324 7.62209i −0.0543288 0.389471i −0.998242 0.0592759i \(-0.981121\pi\)
0.943913 0.330195i \(-0.107114\pi\)
\(384\) 2.33567 4.43110i 0.119192 0.226124i
\(385\) 74.8258 19.4333i 3.81348 0.990410i
\(386\) 0.580643 + 0.733053i 0.0295540 + 0.0373114i
\(387\) −3.76179 20.1238i −0.191222 1.02295i
\(388\) 0.744084 + 0.0516476i 0.0377751 + 0.00262201i
\(389\) −16.0289 + 13.3102i −0.812698 + 0.674856i −0.948813 0.315837i \(-0.897715\pi\)
0.136115 + 0.990693i \(0.456538\pi\)
\(390\) 0.0468575 0.0290130i 0.00237272 0.00146913i
\(391\) −5.42721 + 5.50805i −0.274466 + 0.278554i
\(392\) −8.38469 5.19158i −0.423491 0.262214i
\(393\) 3.52121 0.491188i 0.177622 0.0247771i
\(394\) −0.0616990 0.0289637i −0.00310835 0.00145917i
\(395\) −7.81519 0.724184i −0.393225 0.0364377i
\(396\) −16.8162 + 16.0567i −0.845046 + 0.806880i
\(397\) −1.59158 + 0.110473i −0.0798789 + 0.00554448i −0.109128 0.994028i \(-0.534806\pi\)
0.0292494 + 0.999572i \(0.490688\pi\)
\(398\) 0.844751 + 3.25263i 0.0423436 + 0.163040i
\(399\) 9.28457 9.28457i 0.464810 0.464810i
\(400\) −0.579772 + 12.5403i −0.0289886 + 0.627014i
\(401\) 11.7417 + 0.271280i 0.586351 + 0.0135471i 0.315258 0.949006i \(-0.397909\pi\)
0.271093 + 0.962553i \(0.412615\pi\)
\(402\) −0.918389 1.56278i −0.0458051 0.0779444i
\(403\) −0.140514 + 0.541035i −0.00699950 + 0.0269509i
\(404\) 1.42824 7.64040i 0.0710575 0.380124i
\(405\) 3.49455 1.84201i 0.173646 0.0915303i
\(406\) −2.41140 0.111486i −0.119676 0.00553295i
\(407\) 12.2265 + 16.1905i 0.606043 + 0.802531i
\(408\) −2.51105 + 0.862320i −0.124315 + 0.0426912i
\(409\) −17.8909 + 23.6914i −0.884650 + 1.17147i 0.0996612 + 0.995021i \(0.468224\pi\)
−0.984311 + 0.176444i \(0.943541\pi\)
\(410\) −2.02093 + 2.43371i −0.0998067 + 0.120193i
\(411\) −4.12728 6.33408i −0.203584 0.312437i
\(412\) −8.51785 + 2.42354i −0.419645 + 0.119399i
\(413\) −2.16191 18.6346i −0.106381 0.916947i
\(414\) 0.132375 0.627527i 0.00650589 0.0308413i
\(415\) −3.76221 0.793630i −0.184680 0.0389577i
\(416\) 0.131055 0.191317i 0.00642550 0.00938007i
\(417\) −1.05695 + 4.49388i −0.0517591 + 0.220066i
\(418\) −1.17183 2.49625i −0.0573162 0.122096i
\(419\) 3.24883 3.40250i 0.158716 0.166223i −0.639102 0.769122i \(-0.720694\pi\)
0.797817 + 0.602899i \(0.205988\pi\)
\(420\) 23.8722 9.88818i 1.16484 0.482494i
\(421\) 3.73971 6.03985i 0.182263 0.294364i −0.746250 0.665666i \(-0.768147\pi\)
0.928512 + 0.371302i \(0.121089\pi\)
\(422\) 1.56336 2.66030i 0.0761031 0.129501i
\(423\) −3.04113 3.04113i −0.147865 0.147865i
\(424\) −5.81055 + 5.29702i −0.282185 + 0.257246i
\(425\) 9.69418 9.39433i 0.470237 0.455692i
\(426\) 1.37284 + 1.25151i 0.0665145 + 0.0606360i
\(427\) −0.588879 12.7373i −0.0284978 0.616399i
\(428\) 0.000273000 0.0118161i 1.31960e−5 0.000571154i
\(429\) 0.527101 0.398049i 0.0254487 0.0192180i
\(430\) 4.11951 + 2.42089i 0.198661 + 0.116745i
\(431\) −7.16144 3.77486i −0.344955 0.181829i 0.284870 0.958566i \(-0.408050\pi\)
−0.629824 + 0.776738i \(0.716873\pi\)
\(432\) −11.7070 + 14.7799i −0.563252 + 0.711097i
\(433\) −12.3937 + 28.0690i −0.595602 + 1.34891i 0.320226 + 0.947341i \(0.396241\pi\)
−0.915829 + 0.401570i \(0.868465\pi\)
\(434\) 1.48930 3.37294i 0.0714886 0.161906i
\(435\) 5.38189 6.79455i 0.258042 0.325774i
\(436\) −16.3501 8.61827i −0.783027 0.412740i
\(437\) −4.66129 2.73927i −0.222980 0.131037i
\(438\) 1.88850 1.42613i 0.0902361 0.0681431i
\(439\) −0.620478 26.8558i −0.0296138 1.28176i −0.782102 0.623151i \(-0.785852\pi\)
0.752488 0.658606i \(-0.228854\pi\)
\(440\) −0.504772 10.9181i −0.0240641 0.520498i
\(441\) 22.6117 + 20.6133i 1.07675 + 0.981587i
\(442\) −0.0793013 + 0.0173417i −0.00377198 + 0.000824863i
\(443\) 5.24235 4.77903i 0.249071 0.227059i −0.539525 0.841969i \(-0.681396\pi\)
0.788597 + 0.614911i \(0.210808\pi\)
\(444\) 4.79494 + 4.79494i 0.227558 + 0.227558i
\(445\) 22.6975 38.6234i 1.07597 1.83092i
\(446\) 2.29190 3.70155i 0.108525 0.175273i
\(447\) 4.01195 1.66180i 0.189759 0.0786006i
\(448\) 23.7291 24.8515i 1.12109 1.17412i
\(449\) 6.27909 + 13.3758i 0.296328 + 0.631243i 0.996578 0.0826546i \(-0.0263398\pi\)
−0.700250 + 0.713898i \(0.746928\pi\)
\(450\) −0.256338 + 1.08988i −0.0120839 + 0.0513775i
\(451\) −21.4260 + 31.2781i −1.00891 + 1.47283i
\(452\) −5.45912 1.15159i −0.256775 0.0541661i
\(453\) −4.50577 + 21.3597i −0.211700 + 1.00357i
\(454\) −0.476685 4.10878i −0.0223719 0.192835i
\(455\) 1.53041 0.435440i 0.0717469 0.0204137i
\(456\) −1.01344 1.55531i −0.0474586 0.0728340i
\(457\) −22.2625 + 26.8097i −1.04139 + 1.25410i −0.0749612 + 0.997186i \(0.523883\pi\)
−0.966433 + 0.256917i \(0.917293\pi\)
\(458\) −1.20227 + 1.59207i −0.0561786 + 0.0743925i
\(459\) 20.0592 2.94948i 0.936284 0.137670i
\(460\) −6.41176 8.49054i −0.298950 0.395874i
\(461\) −19.9300 0.921418i −0.928232 0.0429147i −0.423220 0.906027i \(-0.639100\pi\)
−0.505012 + 0.863112i \(0.668512\pi\)
\(462\) −3.85415 + 2.03156i −0.179311 + 0.0945166i
\(463\) 5.37961 28.7784i 0.250012 1.33744i −0.595443 0.803397i \(-0.703024\pi\)
0.845455 0.534047i \(-0.179329\pi\)
\(464\) 2.98444 11.4913i 0.138549 0.533470i
\(465\) 6.70767 + 11.4141i 0.311061 + 0.529318i
\(466\) 3.14154 + 0.0725824i 0.145529 + 0.00336231i
\(467\) 1.57111 33.9826i 0.0727024 1.57253i −0.579811 0.814751i \(-0.696874\pi\)
0.652514 0.757777i \(-0.273715\pi\)
\(468\) −0.338385 + 0.338385i −0.0156418 + 0.0156418i
\(469\) −13.1552 50.6529i −0.607452 2.33893i
\(470\) 1.00139 0.0695072i 0.0461905 0.00320613i
\(471\) −9.03714 + 8.62898i −0.416409 + 0.397603i
\(472\) −2.64088 0.244714i −0.121557 0.0112639i
\(473\) 51.8382 + 24.3347i 2.38352 + 1.11891i
\(474\) 0.438080 0.0611096i 0.0201217 0.00280686i
\(475\) 8.02487 + 4.96879i 0.368206 + 0.227984i
\(476\) −38.0038 + 2.03869i −1.74190 + 0.0934431i
\(477\) 20.7408 12.8421i 0.949654 0.588001i
\(478\) −0.161641 + 0.134225i −0.00739328 + 0.00613930i
\(479\) 21.8432 + 1.51616i 0.998043 + 0.0692752i 0.558980 0.829181i \(-0.311193\pi\)
0.439063 + 0.898456i \(0.355310\pi\)
\(480\) −1.00922 5.39887i −0.0460646 0.246424i
\(481\) 0.259275 + 0.327330i 0.0118219 + 0.0149250i
\(482\) −2.14386 + 0.556790i −0.0976503 + 0.0253611i
\(483\) −3.98307 + 7.55644i −0.181236 + 0.343830i
\(484\) −5.98813 42.9275i −0.272188 1.95125i
\(485\) 0.897459 0.614774i 0.0407515 0.0279155i
\(486\) −2.02170 + 1.75926i −0.0917060 + 0.0798015i
\(487\) 11.3200 + 31.3515i 0.512957 + 1.42067i 0.872992 + 0.487734i \(0.162177\pi\)
−0.360035 + 0.932939i \(0.617235\pi\)
\(488\) −1.77918 0.290227i −0.0805398 0.0131380i
\(489\) −5.29653 2.63736i −0.239517 0.119265i
\(490\) −7.09376 + 0.822990i −0.320463 + 0.0371789i
\(491\) 29.0386 + 19.8919i 1.31050 + 0.897710i 0.998625 0.0524146i \(-0.0166917\pi\)
0.311870 + 0.950125i \(0.399045\pi\)
\(492\) −5.64831 + 11.3433i −0.254645 + 0.511397i
\(493\) −10.8046 + 6.80093i −0.486614 + 0.306299i
\(494\) −0.0252989 0.0508070i −0.00113825 0.00228592i
\(495\) −4.68497 + 33.5854i −0.210574 + 1.50955i
\(496\) 14.7198 + 10.5910i 0.660941 + 0.475552i
\(497\) 28.2343 + 45.5999i 1.26648 + 2.04544i
\(498\) 0.216633 0.00500509i 0.00970754 0.000224283i
\(499\) 0.166500 7.20654i 0.00745358 0.322609i −0.982908 0.184100i \(-0.941063\pi\)
0.990361 0.138509i \(-0.0442311\pi\)
\(500\) −5.71863 7.94798i −0.255745 0.355445i
\(501\) −0.490187 1.46252i −0.0218999 0.0653405i
\(502\) 2.51423 1.11014i 0.112216 0.0495481i
\(503\) 2.11011 + 0.874035i 0.0940850 + 0.0389713i 0.429230 0.903195i \(-0.358785\pi\)
−0.335145 + 0.942167i \(0.608785\pi\)
\(504\) 5.16053 3.71304i 0.229868 0.165392i
\(505\) −5.28607 10.0284i −0.235227 0.446259i
\(506\) 1.20859 + 1.32576i 0.0537283 + 0.0589371i
\(507\) −9.90648 + 7.84681i −0.439962 + 0.348489i
\(508\) −4.51910 19.2140i −0.200502 0.852484i
\(509\) −21.3174 8.25840i −0.944876 0.366047i −0.160993 0.986956i \(-0.551470\pi\)
−0.783883 + 0.620909i \(0.786764\pi\)
\(510\) −1.03766 + 1.61851i −0.0459483 + 0.0716690i
\(511\) 63.7094 24.6812i 2.81834 1.09183i
\(512\) −7.11915 10.3927i −0.314625 0.459296i
\(513\) 5.42495 + 13.0970i 0.239517 + 0.578246i
\(514\) −2.31880 1.75108i −0.102278 0.0772368i
\(515\) −7.54352 + 10.4843i −0.332407 + 0.461993i
\(516\) 18.2837 + 5.66179i 0.804893 + 0.249247i
\(517\) 11.8734 1.93683i 0.522192 0.0851819i
\(518\) −1.34028 2.40626i −0.0588885 0.105725i
\(519\) 19.2136 4.51899i 0.843382 0.198362i
\(520\) −0.0155769 0.224415i −0.000683091 0.00984125i
\(521\) −30.6254 24.2580i −1.34172 1.06276i −0.992044 0.125893i \(-0.959820\pi\)
−0.349678 0.936870i \(-0.613709\pi\)
\(522\) 0.449960 0.958513i 0.0196942 0.0419530i
\(523\) 2.66517 + 6.87959i 0.116540 + 0.300824i 0.978531 0.206099i \(-0.0660770\pi\)
−0.861991 + 0.506923i \(0.830783\pi\)
\(524\) 2.44695 6.77701i 0.106896 0.296055i
\(525\) 7.25633 13.0276i 0.316692 0.568571i
\(526\) −0.502442 + 1.76590i −0.0219075 + 0.0769969i
\(527\) −3.72473 19.1410i −0.162252 0.833794i
\(528\) −5.86399 20.6098i −0.255198 0.896926i
\(529\) −18.9653 4.46059i −0.824576 0.193939i
\(530\) −0.916653 + 5.61937i −0.0398169 + 0.244090i
\(531\) 7.91461 + 2.25190i 0.343465 + 0.0977241i
\(532\) −7.87147 25.4194i −0.341271 1.10207i
\(533\) −0.426001 + 0.653778i −0.0184522 + 0.0283183i
\(534\) −0.746821 + 2.41171i −0.0323181 + 0.104365i
\(535\) 0.0110125 + 0.0132618i 0.000476110 + 0.000573358i
\(536\) −7.39091 + 0.341702i −0.319239 + 0.0147593i
\(537\) 12.6851 7.45454i 0.547400 0.321687i
\(538\) −0.412957 + 0.996967i −0.0178038 + 0.0429823i
\(539\) −83.7448 + 17.6658i −3.60714 + 0.760918i
\(540\) 27.8969i 1.20049i
\(541\) 6.68227 + 31.6774i 0.287293 + 1.36192i 0.846279 + 0.532740i \(0.178838\pi\)
−0.558986 + 0.829177i \(0.688809\pi\)
\(542\) 2.08650 0.699324i 0.0896228 0.0300385i
\(543\) 7.97906 + 1.49154i 0.342414 + 0.0640083i
\(544\) −1.24336 + 7.99364i −0.0533084 + 0.342725i
\(545\) −26.4970 + 4.95315i −1.13501 + 0.212170i
\(546\) −0.0783390 + 0.0436346i −0.00335260 + 0.00186739i
\(547\) 2.91432 3.34907i 0.124607 0.143196i −0.688664 0.725081i \(-0.741802\pi\)
0.813271 + 0.581885i \(0.197685\pi\)
\(548\) −15.2561 + 1.41368i −0.651707 + 0.0603895i
\(549\) 5.26065 + 1.89944i 0.224519 + 0.0810663i
\(550\) −2.05588 2.36257i −0.0876631 0.100740i
\(551\) −6.45609 6.16450i −0.275039 0.262617i
\(552\) 0.929083 + 0.771501i 0.0395444 + 0.0328373i
\(553\) 12.6478 + 1.76430i 0.537841 + 0.0750256i
\(554\) 4.37630 + 2.85159i 0.185931 + 0.121152i
\(555\) 9.82407 + 1.13975i 0.417009 + 0.0483797i
\(556\) 7.05782 + 6.14163i 0.299318 + 0.260463i
\(557\) −9.16297 + 23.6523i −0.388247 + 1.00218i 0.592268 + 0.805741i \(0.298233\pi\)
−0.980516 + 0.196441i \(0.937062\pi\)
\(558\) 1.11690 + 1.16973i 0.0472820 + 0.0495185i
\(559\) 1.07822 + 0.476079i 0.0456037 + 0.0201360i
\(560\) 4.76278 51.3986i 0.201264 2.17199i
\(561\) −10.5933 + 20.4624i −0.447251 + 0.863922i
\(562\) −0.148475 1.60230i −0.00626306 0.0675891i
\(563\) −2.54181 + 7.58374i −0.107125 + 0.319616i −0.988158 0.153437i \(-0.950966\pi\)
0.881034 + 0.473053i \(0.156848\pi\)
\(564\) 3.84101 1.18942i 0.161736 0.0500837i
\(565\) −7.28409 + 3.62705i −0.306444 + 0.152591i
\(566\) −0.519243 + 0.338338i −0.0218254 + 0.0142214i
\(567\) −5.81822 + 2.73128i −0.244342 + 0.114703i
\(568\) 7.13194 2.57510i 0.299250 0.108049i
\(569\) −4.17379 2.32479i −0.174975 0.0974602i 0.396671 0.917961i \(-0.370165\pi\)
−0.571646 + 0.820501i \(0.693695\pi\)
\(570\) −1.27457 0.427194i −0.0533860 0.0178932i
\(571\) −4.91323 + 42.3495i −0.205612 + 1.77227i 0.346061 + 0.938212i \(0.387519\pi\)
−0.551673 + 0.834061i \(0.686010\pi\)
\(572\) −0.215511 1.32115i −0.00901095 0.0552399i
\(573\) 1.14954 16.5614i 0.0480228 0.691862i
\(574\) 3.46756 3.80373i 0.144733 0.158764i
\(575\) −5.94311 1.54350i −0.247845 0.0643685i
\(576\) 6.08793 + 13.7879i 0.253664 + 0.574494i
\(577\) −15.3262 −0.638039 −0.319020 0.947748i \(-0.603354\pi\)
−0.319020 + 0.947748i \(0.603354\pi\)
\(578\) 2.23433 1.73975i 0.0929359 0.0723643i
\(579\) 5.46341 0.227051
\(580\) −7.09540 16.0695i −0.294620 0.667252i
\(581\) 6.05520 + 1.57261i 0.251212 + 0.0652431i
\(582\) −0.0413017 + 0.0453058i −0.00171201 + 0.00187799i
\(583\) −4.72506 + 68.0736i −0.195692 + 2.81932i
\(584\) −1.55513 9.53342i −0.0643516 0.394496i
\(585\) −0.0804336 + 0.693297i −0.00332552 + 0.0286643i
\(586\) 3.14390 + 1.05373i 0.129873 + 0.0435292i
\(587\) −10.1934 5.67767i −0.420725 0.234342i 0.261924 0.965088i \(-0.415643\pi\)
−0.682649 + 0.730746i \(0.739172\pi\)
\(588\) −26.9062 + 9.71494i −1.10959 + 0.400637i
\(589\) 12.3420 5.79379i 0.508544 0.238729i
\(590\) −1.60911 + 1.04849i −0.0662459 + 0.0431658i
\(591\) −0.356456 + 0.177494i −0.0146627 + 0.00730113i
\(592\) 12.9403 4.00716i 0.531844 0.164693i
\(593\) 8.04483 24.0025i 0.330362 0.985665i −0.644835 0.764322i \(-0.723074\pi\)
0.975196 0.221343i \(-0.0710439\pi\)
\(594\) −0.434010 4.68371i −0.0178076 0.192175i
\(595\) −41.6024 + 36.7459i −1.70553 + 1.50644i
\(596\) 0.812016 8.76305i 0.0332615 0.358948i
\(597\) 17.9602 + 7.93023i 0.735064 + 0.324563i
\(598\) 0.0254987 + 0.0267048i 0.00104272 + 0.00109204i
\(599\) −11.3750 + 29.3623i −0.464770 + 1.19971i 0.481532 + 0.876428i \(0.340080\pi\)
−0.946303 + 0.323282i \(0.895214\pi\)
\(600\) −1.59041 1.38396i −0.0649284 0.0564999i
\(601\) −7.81875 0.907101i −0.318933 0.0370014i −0.0457183 0.998954i \(-0.514558\pi\)
−0.273215 + 0.961953i \(0.588087\pi\)
\(602\) −6.51365 4.24429i −0.265477 0.172984i
\(603\) 22.7355 + 3.17146i 0.925859 + 0.129152i
\(604\) 34.0358 + 28.2630i 1.38490 + 1.15000i
\(605\) −45.7200 43.6551i −1.85878 1.77483i
\(606\) 0.419385 + 0.481947i 0.0170363 + 0.0195778i
\(607\) −12.6826 4.57927i −0.514772 0.185867i 0.0692580 0.997599i \(-0.477937\pi\)
−0.584030 + 0.811732i \(0.698525\pi\)
\(608\) −5.63218 + 0.521899i −0.228415 + 0.0211658i
\(609\) −9.25791 + 10.6390i −0.375149 + 0.431113i
\(610\) −1.14043 + 0.635216i −0.0461747 + 0.0257191i
\(611\) 0.243392 0.0454978i 0.00984659 0.00184065i
\(612\) 5.55318 15.7434i 0.224474 0.636387i
\(613\) 2.81389 + 0.526007i 0.113652 + 0.0212452i 0.240268 0.970707i \(-0.422765\pi\)
−0.126616 + 0.991952i \(0.540412\pi\)
\(614\) −3.18547 + 1.06766i −0.128555 + 0.0430873i
\(615\) 3.81466 + 18.0834i 0.153822 + 0.729195i
\(616\) 17.7834i 0.716512i
\(617\) 15.3775 3.24384i 0.619073 0.130592i 0.113732 0.993511i \(-0.463720\pi\)
0.505341 + 0.862920i \(0.331367\pi\)
\(618\) 0.278556 0.672493i 0.0112052 0.0270517i
\(619\) 30.8406 18.1239i 1.23959 0.728461i 0.267611 0.963527i \(-0.413766\pi\)
0.971979 + 0.235066i \(0.0755306\pi\)
\(620\) 26.8021 1.23913i 1.07640 0.0497649i
\(621\) −5.89159 7.09497i −0.236421 0.284711i
\(622\) 1.60767 5.19166i 0.0644618 0.208167i
\(623\) −39.7932 + 61.0701i −1.59428 + 2.44672i
\(624\) −0.130458 0.421289i −0.00522251 0.0168651i
\(625\) −29.4808 8.38800i −1.17923 0.335520i
\(626\) 0.541070 3.31693i 0.0216255 0.132571i
\(627\) −15.6828 3.68856i −0.626310 0.147307i
\(628\) 6.92995 + 24.3562i 0.276535 + 0.971920i
\(629\) −13.0875 6.39648i −0.521831 0.255044i
\(630\) 1.25987 4.42797i 0.0501943 0.176415i
\(631\) 8.32189 14.9407i 0.331289 0.594778i −0.655803 0.754932i \(-0.727670\pi\)
0.987092 + 0.160154i \(0.0511991\pi\)
\(632\) 0.613143 1.69814i 0.0243895 0.0675485i
\(633\) −6.51217 16.8098i −0.258836 0.668131i
\(634\) 1.13194 2.41128i 0.0449552 0.0957642i
\(635\) −22.5662 17.8745i −0.895513 0.709326i
\(636\) 1.57928 + 22.7525i 0.0626224 + 0.902197i
\(637\) −1.71477 + 0.403311i −0.0679419 + 0.0159798i
\(638\) 1.44128 + 2.58759i 0.0570607 + 0.102444i
\(639\) −23.2189 + 3.78756i −0.918526 + 0.149834i
\(640\) −14.1428 4.37951i −0.559043 0.173116i
\(641\) 20.6229 28.6625i 0.814555 1.13210i −0.174515 0.984654i \(-0.555836\pi\)
0.989070 0.147446i \(-0.0471054\pi\)
\(642\) −0.000775250 0 0.000585442i −3.05967e−5 0 2.31055e-5i
\(643\) 6.58712 + 15.9027i 0.259770 + 0.627141i 0.998923 0.0463966i \(-0.0147738\pi\)
−0.739153 + 0.673538i \(0.764774\pi\)
\(644\) 9.78321 + 14.2817i 0.385513 + 0.562779i
\(645\) 26.0303 10.0842i 1.02494 0.397065i
\(646\) 1.56111 + 1.21786i 0.0614210 + 0.0479162i
\(647\) 27.8958 + 10.8069i 1.09670 + 0.424863i 0.840528 0.541768i \(-0.182245\pi\)
0.256171 + 0.966632i \(0.417539\pi\)
\(648\) 0.208047 + 0.884560i 0.00817284 + 0.0347488i
\(649\) −18.0432 + 14.2918i −0.708257 + 0.561002i
\(650\) −0.0434260 0.0476360i −0.00170331 0.00186844i
\(651\) −10.0445 19.0558i −0.393674 0.746854i
\(652\) −9.73350 + 7.00332i −0.381193 + 0.274271i
\(653\) −18.1933 7.53592i −0.711960 0.294903i −0.00284456 0.999996i \(-0.500905\pi\)
−0.709115 + 0.705093i \(0.750905\pi\)
\(654\) 1.38970 0.613612i 0.0543415 0.0239941i
\(655\) −3.33955 9.96385i −0.130487 0.389320i
\(656\) 14.7847 + 20.5484i 0.577246 + 0.802280i
\(657\) −0.692230 + 29.9614i −0.0270065 + 1.16891i
\(658\) −1.63281 + 0.0377244i −0.0636534 + 0.00147065i
\(659\) −14.9960 24.2194i −0.584162 0.943454i −0.999430 0.0337549i \(-0.989253\pi\)
0.415268 0.909699i \(-0.363688\pi\)
\(660\) −25.7349 18.5165i −1.00173 0.720753i
\(661\) −3.92718 + 28.1531i −0.152750 + 1.09503i 0.748938 + 0.662640i \(0.230564\pi\)
−0.901688 + 0.432387i \(0.857671\pi\)
\(662\) 1.14131 + 2.29206i 0.0443582 + 0.0890834i
\(663\) −0.208246 + 0.426079i −0.00808759 + 0.0165476i
\(664\) 0.394245 0.791750i 0.0152997 0.0307258i
\(665\) −32.0183 21.9330i −1.24162 0.850526i
\(666\) 1.20012 0.139234i 0.0465039 0.00539520i
\(667\) 5.19831 + 2.58845i 0.201279 + 0.100225i
\(668\) −3.08524 0.503276i −0.119371 0.0194723i
\(669\) −8.63795 23.9234i −0.333962 0.924934i
\(670\) −4.04175 + 3.51709i −0.156147 + 0.135877i
\(671\) −12.9071 + 8.84160i −0.498275 + 0.341326i
\(672\) 1.23463 + 8.85078i 0.0476269 + 0.341426i
\(673\) −14.9032 + 28.2734i −0.574475 + 1.08986i 0.409626 + 0.912253i \(0.365659\pi\)
−0.984102 + 0.177607i \(0.943164\pi\)
\(674\) −3.58850 + 0.931981i −0.138224 + 0.0358986i
\(675\) 9.99646 + 12.6204i 0.384764 + 0.485759i
\(676\) 4.70614 + 25.1756i 0.181006 + 0.968294i
\(677\) 27.6630 + 1.92012i 1.06318 + 0.0737961i 0.590183 0.807270i \(-0.299056\pi\)
0.472994 + 0.881066i \(0.343173\pi\)
\(678\) 0.352801 0.292962i 0.0135493 0.0112512i
\(679\) −1.50486 + 0.931772i −0.0577513 + 0.0357581i
\(680\) 3.86921 + 6.82733i 0.148377 + 0.261816i
\(681\) −20.5460 12.7215i −0.787323 0.487489i
\(682\) −4.48062 + 0.625020i −0.171572 + 0.0239333i
\(683\) −10.0552 4.72028i −0.384752 0.180616i 0.222860 0.974850i \(-0.428461\pi\)
−0.607612 + 0.794234i \(0.707872\pi\)
\(684\) 11.6226 + 1.07699i 0.444400 + 0.0411797i
\(685\) −16.1616 + 15.4317i −0.617504 + 0.589614i
\(686\) 6.14739 0.426697i 0.234709 0.0162914i
\(687\) 2.92988 + 11.2812i 0.111782 + 0.430405i
\(688\) 27.0373 27.0373i 1.03079 1.03079i
\(689\) −0.0648628 + 1.40296i −0.00247108 + 0.0534486i
\(690\) 0.874271 + 0.0201992i 0.0332829 + 0.000768971i
\(691\) 2.92001 + 4.96886i 0.111083 + 0.189024i 0.912495 0.409088i \(-0.134153\pi\)
−0.801412 + 0.598112i \(0.795918\pi\)
\(692\) 10.0552 38.7166i 0.382242 1.47179i
\(693\) 10.1383 54.2353i 0.385124 2.06023i
\(694\) −1.20905 + 0.637301i −0.0458949 + 0.0241916i
\(695\) 13.6307 + 0.630185i 0.517041 + 0.0239043i
\(696\) 1.20158 + 1.59114i 0.0455456 + 0.0603121i
\(697\) 3.56138 26.9874i 0.134897 1.02222i
\(698\) −1.78664 + 2.36589i −0.0676254 + 0.0895504i
\(699\) 11.7283 14.1239i 0.443606 0.534214i
\(700\) −16.4987 25.3203i −0.623592 0.957018i
\(701\) 0.252401 0.0718142i 0.00953305 0.00271239i −0.268893 0.963170i \(-0.586658\pi\)
0.278426 + 0.960458i \(0.410187\pi\)
\(702\) −0.0111570 0.0961680i −0.000421095 0.00362963i
\(703\) 2.10226 9.96581i 0.0792884 0.375868i
\(704\) −41.2522 8.70205i −1.55475 0.327971i
\(705\) 3.31420 4.83814i 0.124820 0.182215i
\(706\) −0.511467 + 2.17463i −0.0192493 + 0.0818431i
\(707\) 7.83803 + 16.6967i 0.294779 + 0.627943i
\(708\) −5.31287 + 5.56418i −0.199670 + 0.209115i
\(709\) 11.5401 4.78007i 0.433398 0.179519i −0.155309 0.987866i \(-0.549637\pi\)
0.588707 + 0.808347i \(0.299637\pi\)
\(710\) 2.89056 4.66842i 0.108481 0.175203i
\(711\) −2.83807 + 4.82941i −0.106436 + 0.181117i
\(712\) 7.28686 + 7.28686i 0.273087 + 0.273087i
\(713\) −6.55483 + 5.97552i −0.245480 + 0.223785i
\(714\) 1.80816 2.55265i 0.0676686 0.0955303i
\(715\) −1.44278 1.31527i −0.0539569 0.0491882i
\(716\) −1.37711 29.7864i −0.0514649 1.11317i
\(717\) 0.0283523 + 1.22716i 0.00105884 + 0.0458291i
\(718\) −4.16302 + 3.14377i −0.155363 + 0.117324i
\(719\) 29.0238 + 17.0562i 1.08241 + 0.636090i 0.935595 0.353074i \(-0.114864\pi\)
0.146811 + 0.989165i \(0.453099\pi\)
\(720\) 20.0299 + 10.5580i 0.746471 + 0.393472i
\(721\) 13.0485 16.4736i 0.485953 0.613508i
\(722\) 0.719203 1.62884i 0.0267660 0.0606191i
\(723\) −5.22694 + 11.8379i −0.194392 + 0.440256i
\(724\) 10.2143 12.8954i 0.379611 0.479253i
\(725\) −8.96821 4.72722i −0.333071 0.175565i
\(726\) 3.07144 + 1.80497i 0.113992 + 0.0669888i
\(727\) 30.5187 23.0466i 1.13188 0.854752i 0.141063 0.990001i \(-0.454948\pi\)
0.990812 + 0.135248i \(0.0431831\pi\)
\(728\) 0.00845421 + 0.365919i 0.000313334 + 0.0135619i
\(729\) 0.532823 + 11.5248i 0.0197342 + 0.426844i
\(730\) −5.16920 4.71235i −0.191321 0.174412i
\(731\) −41.0976 + 1.25358i −1.52005 + 0.0463652i
\(732\) −3.86437 + 3.52284i −0.142831 + 0.130208i
\(733\) 5.49122 + 5.49122i 0.202823 + 0.202823i 0.801208 0.598385i \(-0.204191\pi\)
−0.598385 + 0.801208i \(0.704191\pi\)
\(734\) −0.234899 + 0.399718i −0.00867030 + 0.0147539i
\(735\) −21.9635 + 35.4723i −0.810137 + 1.30842i
\(736\) 3.39960 1.40816i 0.125311 0.0519055i
\(737\) −44.3439 + 46.4414i −1.63343 + 1.71069i
\(738\) 0.959402 + 2.04373i 0.0353161 + 0.0752308i
\(739\) 1.13148 4.81075i 0.0416221 0.176966i −0.948597 0.316486i \(-0.897497\pi\)
0.990219 + 0.139520i \(0.0445558\pi\)
\(740\) 11.3271 16.5356i 0.416393 0.607860i
\(741\) −0.324450 0.0684419i −0.0119190 0.00251428i
\(742\) 1.91212 9.06444i 0.0701962 0.332766i
\(743\) 0.162989 + 1.40488i 0.00597948 + 0.0515401i 0.995993 0.0894343i \(-0.0285059\pi\)
−0.990013 + 0.140974i \(0.954976\pi\)
\(744\) −2.92917 + 0.833421i −0.107389 + 0.0305547i
\(745\) −7.00721 10.7539i −0.256724 0.393991i
\(746\) −0.866299 + 1.04324i −0.0317175 + 0.0381959i
\(747\) −1.65374 + 2.18990i −0.0605071 + 0.0801244i
\(748\) 26.6743 + 38.3288i 0.975308 + 1.40144i
\(749\) −0.0169023 0.0223823i −0.000617598 0.000817831i
\(750\) 0.803940 + 0.0371684i 0.0293557 + 0.00135720i
\(751\) −13.3451 + 7.03431i −0.486969 + 0.256686i −0.691770 0.722118i \(-0.743169\pi\)
0.204801 + 0.978804i \(0.434345\pi\)
\(752\) 1.47600 7.89590i 0.0538242 0.287934i
\(753\) 4.03629 15.5413i 0.147091 0.566358i
\(754\) 0.0308865 + 0.0525583i 0.00112482 + 0.00191406i
\(755\) 64.5062 + 1.49036i 2.34762 + 0.0542396i
\(756\) 2.09627 45.3416i 0.0762406 1.64906i
\(757\) 30.8464 30.8464i 1.12113 1.12113i 0.129561 0.991571i \(-0.458643\pi\)
0.991571 0.129561i \(-0.0413568\pi\)
\(758\) 0.824710 + 3.17546i 0.0299548 + 0.115338i
\(759\) 10.4556 0.725737i 0.379516 0.0263426i
\(760\) −3.96842 + 3.78919i −0.143950 + 0.137448i
\(761\) −2.74973 0.254800i −0.0996777 0.00923650i 0.0423138 0.999104i \(-0.486527\pi\)
−0.141992 + 0.989868i \(0.545351\pi\)
\(762\) 1.46860 + 0.689413i 0.0532017 + 0.0249748i
\(763\) 43.4386 6.05942i 1.57258 0.219366i
\(764\) −28.6050 17.7115i −1.03489 0.640779i
\(765\) −7.90795 23.0277i −0.285913 0.832568i
\(766\) 1.08993 0.674857i 0.0393808 0.0243836i
\(767\) −0.364471 + 0.302653i −0.0131603 + 0.0109282i
\(768\) −13.4229 0.931698i −0.484358 0.0336198i
\(769\) 4.39960 + 23.5358i 0.158654 + 0.848722i 0.965980 + 0.258617i \(0.0832666\pi\)
−0.807326 + 0.590105i \(0.799086\pi\)
\(770\) 7.99580 + 10.0946i 0.288149 + 0.363783i
\(771\) −16.4308 + 4.26729i −0.591740 + 0.153683i
\(772\) 5.16294 9.79482i 0.185818 0.352523i
\(773\) 5.51402 + 39.5287i 0.198325 + 1.42175i 0.788779 + 0.614677i \(0.210714\pi\)
−0.590454 + 0.807071i \(0.701051\pi\)
\(774\) 2.81340 1.92722i 0.101125 0.0692726i
\(775\) 11.6811 10.1647i 0.419596 0.365128i
\(776\) 0.0849821 + 0.235364i 0.00305068 + 0.00844908i
\(777\) −15.8817 2.59068i −0.569753 0.0929403i
\(778\) −3.10672 1.54696i −0.111381 0.0554613i
\(779\) 18.9062 2.19342i 0.677384 0.0785874i
\(780\) −0.538337 0.368769i −0.0192756 0.0132041i
\(781\) 29.3327 58.9081i 1.04961 2.10790i
\(782\) −1.20449 0.456409i −0.0430724 0.0163212i
\(783\) −6.78692 13.6300i −0.242545 0.487096i
\(784\) −7.89524 + 56.5991i −0.281973 + 2.02140i
\(785\) 29.9791 + 21.5702i 1.07000 + 0.769873i
\(786\) 0.311767 + 0.503521i 0.0111203 + 0.0179600i
\(787\) −29.5404 + 0.682503i −1.05300 + 0.0243286i −0.546136 0.837696i \(-0.683902\pi\)
−0.506866 + 0.862025i \(0.669196\pi\)
\(788\) −0.0186401 + 0.806789i −0.000664026 + 0.0287407i
\(789\) 6.26461 + 8.70680i 0.223026 + 0.309970i
\(790\) −0.415479 1.23962i −0.0147821 0.0441037i
\(791\) 12.1116 5.34779i 0.430639 0.190146i
\(792\) −7.20675 2.98513i −0.256081 0.106072i
\(793\) −0.261380 + 0.188065i −0.00928189 + 0.00667839i
\(794\) −0.123921 0.235095i −0.00439778 0.00834320i
\(795\) 22.4096 + 24.5822i 0.794786 + 0.871839i
\(796\) 31.1898 24.7051i 1.10549 0.875650i
\(797\) 4.76799 + 20.2723i 0.168891 + 0.718080i 0.989250 + 0.146232i \(0.0467146\pi\)
−0.820359 + 0.571848i \(0.806227\pi\)
\(798\) 2.03950 + 0.790106i 0.0721975 + 0.0279694i
\(799\) −6.97397 + 5.09649i −0.246721 + 0.180301i
\(800\) −5.99009 + 2.32057i −0.211782 + 0.0820446i
\(801\) −18.0691 26.3776i −0.638439 0.932007i
\(802\) 0.748679 + 1.80747i 0.0264368 + 0.0638241i
\(803\) −66.8988 50.5196i −2.36081 1.78280i
\(804\) −12.5346 + 17.4211i −0.442062 + 0.614395i
\(805\) 24.1180 + 7.46848i 0.850047 + 0.263229i
\(806\) −0.0918983 + 0.0149908i −0.00323698 + 0.000528028i
\(807\) 3.06776 + 5.50769i 0.107990 + 0.193880i
\(808\) 2.53844 0.597037i 0.0893022 0.0210037i
\(809\) 1.66758 + 24.0248i 0.0586291 + 0.844666i 0.933107 + 0.359600i \(0.117087\pi\)
−0.874477 + 0.485066i \(0.838796\pi\)
\(810\) 0.515815 + 0.408571i 0.0181239 + 0.0143557i
\(811\) −15.8758 + 33.8189i −0.557476 + 1.18754i 0.404533 + 0.914523i \(0.367434\pi\)
−0.962008 + 0.273020i \(0.911978\pi\)
\(812\) 10.3248 + 26.6515i 0.362331 + 0.935283i
\(813\) 4.36609 12.0922i 0.153126 0.424093i
\(814\) −1.64450 + 2.95244i −0.0576397 + 0.103483i
\(815\) −4.78601 + 16.8211i −0.167647 + 0.589216i
\(816\) 10.4486 + 11.2928i 0.365775 + 0.395326i
\(817\) −7.86741 27.6511i −0.275246 0.967388i
\(818\) −4.81391 1.13222i −0.168314 0.0395872i
\(819\) 0.182828 1.12079i 0.00638852 0.0391636i
\(820\) 36.0249 + 10.2500i 1.25805 + 0.357945i
\(821\) 7.58872 + 24.5063i 0.264848 + 0.855275i 0.986605 + 0.163128i \(0.0521585\pi\)
−0.721757 + 0.692147i \(0.756665\pi\)
\(822\) 0.687503 1.05510i 0.0239794 0.0368009i
\(823\) 12.0775 39.0019i 0.420995 1.35952i −0.460639 0.887588i \(-0.652380\pi\)
0.881634 0.471934i \(-0.156444\pi\)
\(824\) −1.89808 2.28578i −0.0661229 0.0796288i
\(825\) −18.2774 + 0.845017i −0.636339 + 0.0294197i
\(826\) 2.69411 1.58323i 0.0937402 0.0550877i
\(827\) −1.14637 + 2.76757i −0.0398630 + 0.0962378i −0.942557 0.334045i \(-0.891586\pi\)
0.902694 + 0.430283i \(0.141586\pi\)
\(828\) −7.42993 + 1.56732i −0.258208 + 0.0544683i
\(829\) 43.4884i 1.51042i 0.655486 + 0.755208i \(0.272464\pi\)
−0.655486 + 0.755208i \(0.727536\pi\)
\(830\) −0.132199 0.626692i −0.00458870 0.0217528i
\(831\) 28.9343 9.69779i 1.00372 0.336413i
\(832\) −0.852962 0.159446i −0.0295711 0.00552780i
\(833\) 47.8877 38.5109i 1.65921 1.33432i
\(834\) −0.755901 + 0.141302i −0.0261747 + 0.00489290i
\(835\) −3.98301 + 2.21852i −0.137838 + 0.0767752i
\(836\) −21.4331 + 24.6305i −0.741281 + 0.851863i
\(837\) 23.1573 2.14584i 0.800433 0.0741711i
\(838\) 0.737072 + 0.266132i 0.0254617 + 0.00919337i
\(839\) 17.0861 + 19.6349i 0.589878 + 0.677873i 0.968882 0.247521i \(-0.0796160\pi\)
−0.379005 + 0.925395i \(0.623734\pi\)
\(840\) 6.26975 + 5.98658i 0.216327 + 0.206557i
\(841\) −14.9345 12.4014i −0.514982 0.427636i
\(842\) 1.17198 + 0.163485i 0.0403892 + 0.00563406i
\(843\) −7.87659 5.13238i −0.271284 0.176769i
\(844\) −36.2908 4.21032i −1.24918 0.144925i
\(845\) 28.1787 + 24.5208i 0.969378 + 0.843542i
\(846\) 0.258797 0.668031i 0.00889761 0.0229674i
\(847\) 71.0296 + 74.3894i 2.44061 + 2.55605i
\(848\) 41.6800 + 18.4035i 1.43130 + 0.631980i
\(849\) −0.334077 + 3.60527i −0.0114655 + 0.123732i
\(850\) 2.08378 + 0.845137i 0.0714732 + 0.0289880i
\(851\) 0.611363 + 6.59766i 0.0209572 + 0.226165i
\(852\) 6.98982 20.8548i 0.239467 0.714473i
\(853\) 6.78917 2.10236i 0.232457 0.0719835i −0.177380 0.984142i \(-0.556762\pi\)
0.409837 + 0.912159i \(0.365586\pi\)
\(854\) 1.90131 0.946739i 0.0650614 0.0323967i
\(855\) 14.2630 9.29378i 0.487785 0.317841i
\(856\) −0.00358947 + 0.00168503i −0.000122685 + 5.75930e-5i
\(857\) 50.3085 18.1647i 1.71850 0.620494i 0.721122 0.692808i \(-0.243627\pi\)
0.997382 + 0.0723140i \(0.0230384\pi\)
\(858\) 0.0961206 + 0.0535388i 0.00328150 + 0.00182778i
\(859\) −35.6934 11.9632i −1.21784 0.408180i −0.365327 0.930879i \(-0.619043\pi\)
−0.852517 + 0.522699i \(0.824925\pi\)
\(860\) 6.51974 56.1969i 0.222321 1.91630i
\(861\) −4.84122 29.6782i −0.164988 1.01143i
\(862\) 0.0933758 1.34526i 0.00318039 0.0458197i
\(863\) −25.9136 + 28.4259i −0.882109 + 0.967628i −0.999676 0.0254370i \(-0.991902\pi\)
0.117567 + 0.993065i \(0.462491\pi\)
\(864\) −9.33838 2.42530i −0.317698 0.0825104i
\(865\) −23.5648 53.3693i −0.801229 1.81461i
\(866\) −5.11110 −0.173682
\(867\) 0.137543 16.5434i 0.00467120 0.561843i
\(868\) −43.6553 −1.48176
\(869\) −6.32901 14.3338i −0.214697 0.486242i
\(870\) 1.39748 + 0.362944i 0.0473790 + 0.0123049i
\(871\) −0.890362 + 0.976681i −0.0301688 + 0.0330936i
\(872\) 0.429367 6.18586i 0.0145402 0.209480i
\(873\) −0.124995 0.766258i −0.00423044 0.0259339i
\(874\) 0.103788 0.894604i 0.00351070 0.0302604i
\(875\) 22.0309 + 7.38401i 0.744780 + 0.249625i
\(876\) −24.4783 13.6343i −0.827044 0.460661i
\(877\) −24.9525 + 9.00951i −0.842587 + 0.304230i −0.724928 0.688825i \(-0.758127\pi\)
−0.117658 + 0.993054i \(0.537539\pi\)
\(878\) 4.05059 1.90150i 0.136701 0.0641724i
\(879\) 16.2302 10.5756i 0.547431 0.356706i
\(880\) −56.6954 + 28.2310i −1.91120 + 0.951666i
\(881\) −21.1996 + 6.56476i −0.714233 + 0.221172i −0.631474 0.775397i \(-0.717550\pi\)
−0.0827592 + 0.996570i \(0.526373\pi\)
\(882\) −1.61971 + 4.83255i −0.0545384 + 0.162721i
\(883\) −2.92132 31.5260i −0.0983101 1.06094i −0.891824 0.452383i \(-0.850574\pi\)
0.793514 0.608552i \(-0.208249\pi\)
\(884\) 0.567084 + 0.775990i 0.0190731 + 0.0260994i
\(885\) −1.03529 + 11.1725i −0.0348008 + 0.375561i
\(886\) 1.08096 + 0.477291i 0.0363156 + 0.0160349i
\(887\) 21.5576 + 22.5773i 0.723832 + 0.758070i 0.977890 0.209119i \(-0.0670595\pi\)
−0.254058 + 0.967189i \(0.581765\pi\)
\(888\) −0.821828 + 2.12138i −0.0275787 + 0.0711889i
\(889\) 35.3344 + 30.7476i 1.18508 + 1.03124i
\(890\) 7.41267 + 0.859989i 0.248473 + 0.0288269i
\(891\) 6.60739 + 4.30537i 0.221356 + 0.144235i
\(892\) −51.0529 7.12158i −1.70938 0.238448i
\(893\) −4.64636 3.85829i −0.155484 0.129113i
\(894\) 0.523166 + 0.499537i 0.0174973 + 0.0167070i
\(895\) −28.5481 32.8068i −0.954258 1.09661i
\(896\) 22.6576 + 8.18089i 0.756937 + 0.273304i
\(897\) 0.214795 0.0199037i 0.00717181 0.000664566i
\(898\) −1.61576 + 1.85679i −0.0539185 + 0.0619618i
\(899\) −12.7936 + 7.12599i −0.426690 + 0.237665i
\(900\) 13.0306 2.43584i 0.434354 0.0811947i
\(901\) −19.0834 45.1249i −0.635760 1.50333i
\(902\) −6.20782 1.16044i −0.206698 0.0386385i
\(903\) −43.0656 + 14.4341i −1.43313 + 0.480338i
\(904\) −0.386351 1.83150i −0.0128498 0.0609148i
\(905\) 23.9927i 0.797543i
\(906\) −3.55800 + 0.750551i −0.118207 + 0.0249354i
\(907\) 12.9233 31.1997i 0.429112 1.03597i −0.550457 0.834863i \(-0.685547\pi\)
0.979570 0.201105i \(-0.0644533\pi\)
\(908\) −42.2232 + 24.8130i −1.40123 + 0.823448i
\(909\) −8.08207 + 0.373657i −0.268065 + 0.0123934i
\(910\) 0.169324 + 0.203910i 0.00561305 + 0.00675954i
\(911\) 15.5654 50.2653i 0.515704 1.66537i −0.210270 0.977643i \(-0.567434\pi\)
0.725974 0.687722i \(-0.241389\pi\)
\(912\) −5.87265 + 9.01267i −0.194463 + 0.298439i
\(913\) −2.27064 7.33257i −0.0751471 0.242673i
\(914\) −5.58321 1.58856i −0.184676 0.0525449i
\(915\) −1.22784 + 7.52702i −0.0405910 + 0.248835i
\(916\) 22.9937 + 5.40808i 0.759735 + 0.178688i
\(917\) 4.67914 + 16.4455i 0.154519 + 0.543077i
\(918\) 1.79910 + 2.85821i 0.0593791 + 0.0943351i
\(919\) 9.44846 33.2079i 0.311676 1.09543i −0.634806 0.772671i \(-0.718920\pi\)
0.946482 0.322756i \(-0.104609\pi\)
\(920\) 1.73694 3.11840i 0.0572651 0.102811i
\(921\) −6.66574 + 18.4613i −0.219644 + 0.608319i
\(922\) −1.20055 3.09897i −0.0395379 0.102059i
\(923\) 0.575559 1.22606i 0.0189448 0.0403564i
\(924\) 40.4363 + 32.0292i 1.33026 + 1.05368i
\(925\) −0.800968 11.5395i −0.0263357 0.379417i
\(926\) 4.74726 1.11655i 0.156005 0.0366920i
\(927\) 4.48561 + 8.05322i 0.147327 + 0.264502i
\(928\) 5.99608 0.978103i 0.196831 0.0321078i
\(929\) −28.8381 8.93014i −0.946149 0.292988i −0.216091 0.976373i \(-0.569331\pi\)
−0.730058 + 0.683385i \(0.760507\pi\)
\(930\) −1.28800 + 1.79011i −0.0422351 + 0.0587000i
\(931\) 34.2881 + 25.8932i 1.12375 + 0.848616i
\(932\) −14.2380 34.3737i −0.466383 1.12595i
\(933\) −17.9442 26.1953i −0.587466 0.857595i
\(934\) 5.28405 2.04705i 0.172899 0.0669816i
\(935\) 65.2053 + 19.6647i 2.13244 + 0.643103i
\(936\) −0.149709 0.0579974i −0.00489338 0.00189570i
\(937\) −5.87990 24.9998i −0.192088 0.816709i −0.979689 0.200523i \(-0.935736\pi\)
0.787601 0.616186i \(-0.211323\pi\)
\(938\) 6.83346 5.41271i 0.223120 0.176731i
\(939\) −13.2277 14.5101i −0.431668 0.473518i
\(940\) −5.54190 10.5138i −0.180757 0.342921i
\(941\) −17.1445 + 12.3356i −0.558896 + 0.402130i −0.827788 0.561041i \(-0.810401\pi\)
0.268892 + 0.963170i \(0.413342\pi\)
\(942\) −1.92295 0.796512i −0.0626531 0.0259518i
\(943\) −11.3269 + 5.00130i −0.368853 + 0.162865i
\(944\) 4.88411 + 14.5722i 0.158964 + 0.474285i
\(945\) −38.6635 53.7361i −1.25772 1.74803i
\(946\) −0.220332 + 9.53653i −0.00716363 + 0.310059i
\(947\) 15.5272 0.358742i 0.504567 0.0116575i 0.229933 0.973206i \(-0.426149\pi\)
0.274634 + 0.961549i \(0.411443\pi\)
\(948\) −2.75698 4.45267i −0.0895424 0.144616i
\(949\) −1.40056 1.00771i −0.0454640 0.0327117i
\(950\) −0.217215 + 1.55716i −0.00704738 + 0.0505210i
\(951\) −6.93671 13.9308i −0.224938 0.451737i
\(952\) −5.77570 11.3874i −0.187192 0.369068i
\(953\) 21.0746 42.3235i 0.682674 1.37099i −0.234346 0.972153i \(-0.575295\pi\)
0.917020 0.398841i \(-0.130587\pi\)
\(954\) 3.35242 + 2.29646i 0.108538 + 0.0743506i
\(955\) −48.7423 + 5.65489i −1.57726 + 0.182988i
\(956\) 2.22685 + 1.10884i 0.0720214 + 0.0358624i
\(957\) 17.0785 + 2.78591i 0.552069 + 0.0900555i
\(958\) 1.23865 + 3.43053i 0.0400189 + 0.110835i
\(959\) 27.4275 23.8671i 0.885681 0.770709i
\(960\) −16.9552 + 11.6146i −0.547225 + 0.374858i
\(961\) 1.19261 + 8.54955i 0.0384713 + 0.275792i
\(962\) −0.0324344 + 0.0615326i −0.00104573 + 0.00198389i
\(963\) 0.0119077 0.00309259i 0.000383721 9.96574e-5i
\(964\) 16.2836 + 20.5577i 0.524458 + 0.662120i
\(965\) −2.96728 15.8735i −0.0955201 0.510987i
\(966\) −1.41946 0.0985261i −0.0456704 0.00317003i
\(967\) −5.41425 + 4.49594i −0.174111 + 0.144580i −0.721799 0.692103i \(-0.756684\pi\)
0.547688 + 0.836682i \(0.315508\pi\)
\(968\) 12.3633 7.65505i 0.397372 0.246043i
\(969\) 11.2403 2.73155i 0.361090 0.0877499i
\(970\) 0.154065 + 0.0953927i 0.00494671 + 0.00306288i
\(971\) −17.4831 + 2.43879i −0.561059 + 0.0782645i −0.413028 0.910718i \(-0.635529\pi\)
−0.148031 + 0.988983i \(0.547294\pi\)
\(972\) 28.7234 + 13.4838i 0.921304 + 0.432493i
\(973\) −22.1070 2.04851i −0.708718 0.0656724i
\(974\) −4.01577 + 3.83439i −0.128673 + 0.122862i
\(975\) −0.375684 + 0.0260766i −0.0120315 + 0.000835118i
\(976\) 2.62591 + 10.1108i 0.0840534 + 0.323639i
\(977\) 3.84813 3.84813i 0.123113 0.123113i −0.642866 0.765979i \(-0.722255\pi\)
0.765979 + 0.642866i \(0.222255\pi\)
\(978\) 0.0455183 0.984546i 0.00145551 0.0314823i
\(979\) 89.4117 + 2.06577i 2.85761 + 0.0660224i
\(980\) 42.8393 + 72.8978i 1.36845 + 2.32863i
\(981\) −4.83605 + 18.6207i −0.154403 + 0.594514i
\(982\) −1.07736 + 5.76336i −0.0343799 + 0.183916i
\(983\) −5.79303 + 3.05356i −0.184769 + 0.0973934i −0.556131 0.831095i \(-0.687715\pi\)
0.371362 + 0.928488i \(0.378891\pi\)
\(984\) −4.24678 0.196340i −0.135382 0.00625910i
\(985\) 0.709294 + 0.939258i 0.0226000 + 0.0299272i
\(986\) −1.76331 1.18884i −0.0561552 0.0378603i
\(987\) −5.75022 + 7.61452i −0.183032 + 0.242373i
\(988\) −0.429309 + 0.516998i −0.0136581 + 0.0164479i
\(989\) 10.2101 + 15.6694i 0.324664 + 0.498257i
\(990\) −5.43304 + 1.54583i −0.172673 + 0.0491298i
\(991\) 6.52152 + 56.2122i 0.207163 + 1.78564i 0.539004 + 0.842303i \(0.318801\pi\)
−0.331841 + 0.943335i \(0.607670\pi\)
\(992\) −1.91532 + 9.07962i −0.0608116 + 0.288278i
\(993\) 14.6369 + 3.08762i 0.464488 + 0.0979827i
\(994\) −5.04892 + 7.37051i −0.160142 + 0.233778i
\(995\) 13.2862 56.4893i 0.421199 1.79083i
\(996\) −1.09024 2.32245i −0.0345456 0.0735895i
\(997\) −9.70727 + 10.1664i −0.307432 + 0.321974i −0.858823 0.512273i \(-0.828803\pi\)
0.551390 + 0.834248i \(0.314098\pi\)
\(998\) 1.10935 0.459508i 0.0351159 0.0145455i
\(999\) 9.14579 14.7710i 0.289360 0.467333i
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 289.2.i.a.100.14 1600
289.263 even 136 inner 289.2.i.a.263.14 yes 1600
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
289.2.i.a.100.14 1600 1.1 even 1 trivial
289.2.i.a.263.14 yes 1600 289.263 even 136 inner