Properties

Label 576.2.bm.a.517.71
Level $576$
Weight $2$
Character 576.517
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [576,2,Mod(13,576)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(576, base_ring=CyclotomicField(48))
 
chi = DirichletCharacter(H, H._module([0, 45, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("576.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), 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: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 517.71
Character \(\chi\) \(=\) 576.517
Dual form 576.2.bm.a.205.71

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.03047 + 0.968568i) q^{2} +(1.63705 + 0.565742i) q^{3} +(0.123751 + 1.99617i) q^{4} +(-0.289353 + 0.329944i) q^{5} +(1.13898 + 2.16858i) q^{6} +(-0.132159 + 0.0173990i) q^{7} +(-1.80590 + 2.17686i) q^{8} +(2.35987 + 1.85230i) q^{9} +O(q^{10})\) \(q+(1.03047 + 0.968568i) q^{2} +(1.63705 + 0.565742i) q^{3} +(0.123751 + 1.99617i) q^{4} +(-0.289353 + 0.329944i) q^{5} +(1.13898 + 2.16858i) q^{6} +(-0.132159 + 0.0173990i) q^{7} +(-1.80590 + 2.17686i) q^{8} +(2.35987 + 1.85230i) q^{9} +(-0.617744 + 0.0597403i) q^{10} +(-2.45699 + 4.98228i) q^{11} +(-0.926730 + 3.33784i) q^{12} +(1.43540 - 4.22854i) q^{13} +(-0.153038 - 0.110075i) q^{14} +(-0.660349 + 0.376436i) q^{15} +(-3.96937 + 0.494055i) q^{16} +(0.861641 - 0.861641i) q^{17} +(0.637708 + 4.19444i) q^{18} +(-1.11562 - 5.60861i) q^{19} +(-0.694431 - 0.536766i) q^{20} +(-0.226194 - 0.0462846i) q^{21} +(-7.35755 + 2.75435i) q^{22} +(0.478102 - 3.63155i) q^{23} +(-4.18790 + 2.54195i) q^{24} +(0.627493 + 4.76628i) q^{25} +(5.57476 - 2.96712i) q^{26} +(2.81531 + 4.36738i) q^{27} +(-0.0510861 - 0.261658i) q^{28} +(5.16048 + 0.338235i) q^{29} +(-1.04508 - 0.251686i) q^{30} +(6.68600 + 3.86017i) q^{31} +(-4.56886 - 3.33550i) q^{32} +(-6.84091 + 6.76623i) q^{33} +(1.72246 - 0.0533400i) q^{34} +(0.0324998 - 0.0486394i) q^{35} +(-3.40546 + 4.93992i) q^{36} +(0.738679 - 3.71359i) q^{37} +(4.28270 - 6.86008i) q^{38} +(4.74208 - 6.11027i) q^{39} +(-0.195698 - 1.22573i) q^{40} +(0.487315 - 3.70153i) q^{41} +(-0.188257 - 0.266779i) q^{42} +(-3.01870 - 1.48866i) q^{43} +(-10.2495 - 4.28800i) q^{44} +(-1.29399 + 0.242657i) q^{45} +(4.01007 - 3.27914i) q^{46} +(-1.60306 - 0.429538i) q^{47} +(-6.77757 - 1.43685i) q^{48} +(-6.74432 + 1.80713i) q^{49} +(-3.96986 + 5.51930i) q^{50} +(1.89802 - 0.923083i) q^{51} +(8.61850 + 2.34200i) q^{52} +(4.07438 + 6.09773i) q^{53} +(-1.32901 + 7.22729i) q^{54} +(-0.932937 - 2.25231i) q^{55} +(0.200790 - 0.319112i) q^{56} +(1.34670 - 9.81273i) q^{57} +(4.99013 + 5.34682i) q^{58} +(5.53787 - 6.31473i) q^{59} +(-0.833148 - 1.27158i) q^{60} +(0.930015 - 14.1893i) q^{61} +(3.15091 + 10.4536i) q^{62} +(-0.344105 - 0.203738i) q^{63} +(-1.47743 - 7.86239i) q^{64} +(0.979844 + 1.69714i) q^{65} +(-13.6029 + 0.346534i) q^{66} +(-5.53545 + 2.72978i) q^{67} +(1.82661 + 1.61335i) q^{68} +(2.83720 - 5.67454i) q^{69} +(0.0806007 - 0.0186433i) q^{70} +(-4.00752 + 9.67501i) q^{71} +(-8.29389 + 1.79204i) q^{72} +(-2.92418 - 7.05959i) q^{73} +(4.35805 - 3.11130i) q^{74} +(-1.66925 + 8.15765i) q^{75} +(11.0577 - 2.92104i) q^{76} +(0.238026 - 0.701201i) q^{77} +(10.8048 - 1.70344i) q^{78} +(2.29816 - 8.57687i) q^{79} +(0.985539 - 1.45263i) q^{80} +(2.13799 + 8.74237i) q^{81} +(4.08735 - 3.34233i) q^{82} +(1.38882 - 1.21796i) q^{83} +(0.0644002 - 0.457248i) q^{84} +(0.0349748 + 0.533612i) q^{85} +(-1.66882 - 4.45784i) q^{86} +(8.25661 + 3.47321i) q^{87} +(-6.40864 - 14.3460i) q^{88} +(2.54583 + 1.05452i) q^{89} +(-1.56845 - 1.00327i) q^{90} +(-0.116127 + 0.583812i) q^{91} +(7.30834 + 0.504965i) q^{92} +(8.76147 + 10.1018i) q^{93} +(-1.23587 - 1.99530i) q^{94} +(2.17333 + 1.25478i) q^{95} +(-5.59242 - 8.04517i) q^{96} +(11.1186 - 6.41932i) q^{97} +(-8.70017 - 4.67013i) q^{98} +(-15.0269 + 7.20647i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9} - 32 q^{10} - 8 q^{11} - 16 q^{12} - 8 q^{13} - 8 q^{14} - 16 q^{15} - 8 q^{16} - 32 q^{17} - 16 q^{18} - 32 q^{19} - 8 q^{20} - 16 q^{21} - 8 q^{22} - 8 q^{23} + 64 q^{24} - 8 q^{25} - 32 q^{26} - 16 q^{27} - 32 q^{28} - 8 q^{29} - 96 q^{30} - 8 q^{32} - 8 q^{34} - 32 q^{35} - 96 q^{36} - 32 q^{37} - 8 q^{38} - 16 q^{39} - 8 q^{40} - 8 q^{41} + 64 q^{42} - 8 q^{43} - 32 q^{44} - 16 q^{45} - 32 q^{46} - 8 q^{47} - 16 q^{48} - 8 q^{49} - 8 q^{50} - 16 q^{51} - 8 q^{52} - 32 q^{53} - 16 q^{54} - 32 q^{55} - 8 q^{56} - 16 q^{57} - 80 q^{58} - 8 q^{59} - 16 q^{60} - 8 q^{61} - 64 q^{62} - 32 q^{63} - 32 q^{64} - 16 q^{65} - 32 q^{66} - 8 q^{67} - 8 q^{68} - 16 q^{69} - 8 q^{70} - 32 q^{71} - 16 q^{72} - 32 q^{73} - 8 q^{74} - 16 q^{75} + 40 q^{76} - 8 q^{77} - 40 q^{78} - 8 q^{79} - 160 q^{80} - 16 q^{81} - 32 q^{82} - 8 q^{83} - 128 q^{84} - 8 q^{85} - 216 q^{86} - 16 q^{87} - 8 q^{88} - 32 q^{89} - 160 q^{90} - 32 q^{91} + 144 q^{92} - 40 q^{93} - 8 q^{94} - 152 q^{96} - 304 q^{98} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(e\left(\frac{1}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.03047 + 0.968568i 0.728655 + 0.684881i
\(3\) 1.63705 + 0.565742i 0.945152 + 0.326631i
\(4\) 0.123751 + 1.99617i 0.0618755 + 0.998084i
\(5\) −0.289353 + 0.329944i −0.129403 + 0.147555i −0.812912 0.582386i \(-0.802119\pi\)
0.683510 + 0.729941i \(0.260453\pi\)
\(6\) 1.13898 + 2.16858i 0.464986 + 0.885318i
\(7\) −0.132159 + 0.0173990i −0.0499512 + 0.00657621i −0.155460 0.987842i \(-0.549686\pi\)
0.105509 + 0.994418i \(0.466353\pi\)
\(8\) −1.80590 + 2.17686i −0.638483 + 0.769636i
\(9\) 2.35987 + 1.85230i 0.786624 + 0.617432i
\(10\) −0.617744 + 0.0597403i −0.195348 + 0.0188915i
\(11\) −2.45699 + 4.98228i −0.740811 + 1.50222i 0.119715 + 0.992808i \(0.461802\pi\)
−0.860526 + 0.509407i \(0.829865\pi\)
\(12\) −0.926730 + 3.33784i −0.267524 + 0.963551i
\(13\) 1.43540 4.22854i 0.398107 1.17279i −0.544465 0.838783i \(-0.683267\pi\)
0.942572 0.334002i \(-0.108399\pi\)
\(14\) −0.153038 0.110075i −0.0409011 0.0294189i
\(15\) −0.660349 + 0.376436i −0.170501 + 0.0971953i
\(16\) −3.96937 + 0.494055i −0.992343 + 0.123514i
\(17\) 0.861641 0.861641i 0.208979 0.208979i −0.594855 0.803833i \(-0.702790\pi\)
0.803833 + 0.594855i \(0.202790\pi\)
\(18\) 0.637708 + 4.19444i 0.150309 + 0.988639i
\(19\) −1.11562 5.60861i −0.255941 1.28670i −0.868267 0.496097i \(-0.834766\pi\)
0.612326 0.790605i \(-0.290234\pi\)
\(20\) −0.694431 0.536766i −0.155280 0.120025i
\(21\) −0.226194 0.0462846i −0.0493595 0.0101001i
\(22\) −7.35755 + 2.75435i −1.56863 + 0.587229i
\(23\) 0.478102 3.63155i 0.0996912 0.757230i −0.866459 0.499249i \(-0.833609\pi\)
0.966150 0.257981i \(-0.0830572\pi\)
\(24\) −4.18790 + 2.54195i −0.854851 + 0.518874i
\(25\) 0.627493 + 4.76628i 0.125499 + 0.953257i
\(26\) 5.57476 2.96712i 1.09330 0.581900i
\(27\) 2.81531 + 4.36738i 0.541806 + 0.840503i
\(28\) −0.0510861 0.261658i −0.00965436 0.0494486i
\(29\) 5.16048 + 0.338235i 0.958276 + 0.0628087i 0.536508 0.843895i \(-0.319743\pi\)
0.421768 + 0.906704i \(0.361410\pi\)
\(30\) −1.04508 0.251686i −0.190804 0.0459514i
\(31\) 6.68600 + 3.86017i 1.20084 + 0.693306i 0.960742 0.277442i \(-0.0894867\pi\)
0.240099 + 0.970748i \(0.422820\pi\)
\(32\) −4.56886 3.33550i −0.807668 0.589638i
\(33\) −6.84091 + 6.76623i −1.19085 + 1.17785i
\(34\) 1.72246 0.0533400i 0.295399 0.00914773i
\(35\) 0.0324998 0.0486394i 0.00549347 0.00822156i
\(36\) −3.40546 + 4.93992i −0.567577 + 0.823321i
\(37\) 0.738679 3.71359i 0.121438 0.610510i −0.871353 0.490656i \(-0.836757\pi\)
0.992791 0.119855i \(-0.0382428\pi\)
\(38\) 4.28270 6.86008i 0.694746 1.11285i
\(39\) 4.74208 6.11027i 0.759340 0.978426i
\(40\) −0.195698 1.22573i −0.0309426 0.193805i
\(41\) 0.487315 3.70153i 0.0761059 0.578082i −0.910324 0.413897i \(-0.864167\pi\)
0.986430 0.164185i \(-0.0524993\pi\)
\(42\) −0.188257 0.266779i −0.0290486 0.0411649i
\(43\) −3.01870 1.48866i −0.460347 0.227018i 0.197302 0.980343i \(-0.436782\pi\)
−0.657649 + 0.753325i \(0.728449\pi\)
\(44\) −10.2495 4.28800i −1.54517 0.646441i
\(45\) −1.29399 + 0.242657i −0.192897 + 0.0361732i
\(46\) 4.01007 3.27914i 0.591253 0.483482i
\(47\) −1.60306 0.429538i −0.233830 0.0626545i 0.140001 0.990151i \(-0.455289\pi\)
−0.373831 + 0.927497i \(0.621956\pi\)
\(48\) −6.77757 1.43685i −0.978258 0.207391i
\(49\) −6.74432 + 1.80713i −0.963474 + 0.258162i
\(50\) −3.96986 + 5.51930i −0.561422 + 0.780547i
\(51\) 1.89802 0.923083i 0.265775 0.129258i
\(52\) 8.61850 + 2.34200i 1.19517 + 0.324778i
\(53\) 4.07438 + 6.09773i 0.559659 + 0.837588i 0.998128 0.0611578i \(-0.0194793\pi\)
−0.438469 + 0.898746i \(0.644479\pi\)
\(54\) −1.32901 + 7.22729i −0.180855 + 0.983510i
\(55\) −0.932937 2.25231i −0.125797 0.303701i
\(56\) 0.200790 0.319112i 0.0268317 0.0426431i
\(57\) 1.34670 9.81273i 0.178374 1.29973i
\(58\) 4.99013 + 5.34682i 0.655236 + 0.702071i
\(59\) 5.53787 6.31473i 0.720969 0.822107i −0.269038 0.963130i \(-0.586706\pi\)
0.990006 + 0.141022i \(0.0450390\pi\)
\(60\) −0.833148 1.27158i −0.107559 0.164161i
\(61\) 0.930015 14.1893i 0.119076 1.81675i −0.353470 0.935446i \(-0.614998\pi\)
0.472546 0.881306i \(-0.343335\pi\)
\(62\) 3.15091 + 10.4536i 0.400167 + 1.32761i
\(63\) −0.344105 0.203738i −0.0433532 0.0256685i
\(64\) −1.47743 7.86239i −0.184679 0.982799i
\(65\) 0.979844 + 1.69714i 0.121535 + 0.210504i
\(66\) −13.6029 + 0.346534i −1.67440 + 0.0426554i
\(67\) −5.53545 + 2.72978i −0.676263 + 0.333496i −0.747783 0.663943i \(-0.768882\pi\)
0.0715200 + 0.997439i \(0.477215\pi\)
\(68\) 1.82661 + 1.61335i 0.221509 + 0.195648i
\(69\) 2.83720 5.67454i 0.341558 0.683135i
\(70\) 0.0806007 0.0186433i 0.00963363 0.00222830i
\(71\) −4.00752 + 9.67501i −0.475605 + 1.14821i 0.486045 + 0.873934i \(0.338439\pi\)
−0.961650 + 0.274279i \(0.911561\pi\)
\(72\) −8.29389 + 1.79204i −0.977444 + 0.211194i
\(73\) −2.92418 7.05959i −0.342249 0.826262i −0.997488 0.0708402i \(-0.977432\pi\)
0.655239 0.755422i \(-0.272568\pi\)
\(74\) 4.35805 3.11130i 0.506614 0.361681i
\(75\) −1.66925 + 8.15765i −0.192748 + 0.941964i
\(76\) 11.0577 2.92104i 1.26840 0.335066i
\(77\) 0.238026 0.701201i 0.0271255 0.0799092i
\(78\) 10.8048 1.70344i 1.22340 0.192877i
\(79\) 2.29816 8.57687i 0.258564 0.964973i −0.707509 0.706704i \(-0.750181\pi\)
0.966073 0.258269i \(-0.0831521\pi\)
\(80\) 0.985539 1.45263i 0.110187 0.162409i
\(81\) 2.13799 + 8.74237i 0.237554 + 0.971374i
\(82\) 4.08735 3.34233i 0.451372 0.369098i
\(83\) 1.38882 1.21796i 0.152442 0.133688i −0.579728 0.814810i \(-0.696841\pi\)
0.732170 + 0.681122i \(0.238508\pi\)
\(84\) 0.0644002 0.457248i 0.00702664 0.0498899i
\(85\) 0.0349748 + 0.533612i 0.00379354 + 0.0578783i
\(86\) −1.66882 4.45784i −0.179954 0.480701i
\(87\) 8.25661 + 3.47321i 0.885201 + 0.372367i
\(88\) −6.40864 14.3460i −0.683164 1.52929i
\(89\) 2.54583 + 1.05452i 0.269857 + 0.111778i 0.513509 0.858084i \(-0.328345\pi\)
−0.243652 + 0.969863i \(0.578345\pi\)
\(90\) −1.56845 1.00327i −0.165329 0.105754i
\(91\) −0.116127 + 0.583812i −0.0121735 + 0.0612001i
\(92\) 7.30834 + 0.504965i 0.761947 + 0.0526462i
\(93\) 8.76147 + 10.1018i 0.908522 + 1.04751i
\(94\) −1.23587 1.99530i −0.127470 0.205799i
\(95\) 2.17333 + 1.25478i 0.222979 + 0.128737i
\(96\) −5.59242 8.04517i −0.570774 0.821107i
\(97\) 11.1186 6.41932i 1.12892 0.651784i 0.185259 0.982690i \(-0.440688\pi\)
0.943664 + 0.330906i \(0.107354\pi\)
\(98\) −8.70017 4.67013i −0.878850 0.471754i
\(99\) −15.0269 + 7.20647i −1.51026 + 0.724278i
\(100\) −9.43665 + 1.84241i −0.943665 + 0.184241i
\(101\) 11.1243 3.77619i 1.10691 0.375745i 0.292633 0.956225i \(-0.405468\pi\)
0.814274 + 0.580480i \(0.197135\pi\)
\(102\) 2.84993 + 0.887146i 0.282185 + 0.0878405i
\(103\) −14.6585 + 11.2479i −1.44435 + 1.10829i −0.470154 + 0.882584i \(0.655802\pi\)
−0.974196 + 0.225704i \(0.927532\pi\)
\(104\) 6.61275 + 10.7610i 0.648433 + 1.05520i
\(105\) 0.0807212 0.0612386i 0.00787758 0.00597628i
\(106\) −1.70754 + 10.2299i −0.165851 + 0.993612i
\(107\) −14.3081 + 9.56036i −1.38322 + 0.924235i −0.383216 + 0.923659i \(0.625183\pi\)
−1.00000 0.000576004i \(0.999817\pi\)
\(108\) −8.36963 + 6.16029i −0.805368 + 0.592775i
\(109\) −0.673689 3.38687i −0.0645277 0.324403i 0.935016 0.354605i \(-0.115385\pi\)
−0.999544 + 0.0302025i \(0.990385\pi\)
\(110\) 1.22015 3.22456i 0.116337 0.307449i
\(111\) 3.31019 5.66143i 0.314189 0.537360i
\(112\) 0.515990 0.134357i 0.0487565 0.0126955i
\(113\) −4.27062 + 1.14431i −0.401746 + 0.107647i −0.454034 0.890985i \(-0.650015\pi\)
0.0522877 + 0.998632i \(0.483349\pi\)
\(114\) 10.8920 8.80739i 1.02013 0.824888i
\(115\) 1.05987 + 1.20855i 0.0988330 + 0.112697i
\(116\) −0.0365609 + 10.3430i −0.00339459 + 0.960326i
\(117\) 11.2199 7.32003i 1.03728 0.676737i
\(118\) 11.8229 1.14336i 1.08838 0.105254i
\(119\) −0.0988815 + 0.128865i −0.00906446 + 0.0118130i
\(120\) 0.373078 2.11729i 0.0340572 0.193282i
\(121\) −12.0900 15.7560i −1.09909 1.43236i
\(122\) 14.7016 13.7209i 1.33102 1.24223i
\(123\) 2.89187 5.78390i 0.260751 0.521516i
\(124\) −6.87814 + 13.8241i −0.617675 + 1.24144i
\(125\) −3.57862 2.39116i −0.320082 0.213872i
\(126\) −0.157258 0.543236i −0.0140096 0.0483953i
\(127\) 8.56650 0.760154 0.380077 0.924955i \(-0.375898\pi\)
0.380077 + 0.924955i \(0.375898\pi\)
\(128\) 6.09281 9.53298i 0.538533 0.842604i
\(129\) −4.09957 4.14481i −0.360947 0.364930i
\(130\) −0.634093 + 2.69790i −0.0556136 + 0.236622i
\(131\) −6.03958 + 2.97839i −0.527680 + 0.260223i −0.686558 0.727075i \(-0.740879\pi\)
0.158878 + 0.987298i \(0.449212\pi\)
\(132\) −14.3531 12.8183i −1.24928 1.11569i
\(133\) 0.245023 + 0.721815i 0.0212462 + 0.0625893i
\(134\) −8.34812 2.54849i −0.721167 0.220156i
\(135\) −2.25561 0.334822i −0.194132 0.0288169i
\(136\) 0.319631 + 3.43171i 0.0274081 + 0.294267i
\(137\) −4.81723 + 6.27794i −0.411564 + 0.536361i −0.952434 0.304746i \(-0.901429\pi\)
0.540870 + 0.841106i \(0.318095\pi\)
\(138\) 8.41984 3.09945i 0.716744 0.263843i
\(139\) 15.9050 1.04247i 1.34904 0.0884208i 0.626323 0.779564i \(-0.284559\pi\)
0.722718 + 0.691143i \(0.242893\pi\)
\(140\) 0.101114 + 0.0588559i 0.00854571 + 0.00497423i
\(141\) −2.38128 1.61009i −0.200540 0.135594i
\(142\) −13.5006 + 6.08829i −1.13294 + 0.510918i
\(143\) 17.5410 + 17.5410i 1.46685 + 1.46685i
\(144\) −10.2823 6.18655i −0.856862 0.515546i
\(145\) −1.60480 + 1.60480i −0.133271 + 0.133271i
\(146\) 3.82441 10.1070i 0.316510 0.836460i
\(147\) −12.0632 0.857174i −0.994953 0.0706985i
\(148\) 7.50436 + 1.01497i 0.616855 + 0.0834298i
\(149\) −0.202030 3.08239i −0.0165510 0.252519i −0.998114 0.0613821i \(-0.980449\pi\)
0.981563 0.191137i \(-0.0612175\pi\)
\(150\) −9.62136 + 6.78946i −0.785580 + 0.554357i
\(151\) 2.29263 + 1.75920i 0.186571 + 0.143161i 0.697824 0.716269i \(-0.254152\pi\)
−0.511253 + 0.859430i \(0.670818\pi\)
\(152\) 14.2238 + 7.70005i 1.15371 + 0.624556i
\(153\) 3.62938 0.437347i 0.293418 0.0353574i
\(154\) 0.924440 0.492025i 0.0744935 0.0396485i
\(155\) −3.20825 + 1.08906i −0.257693 + 0.0874750i
\(156\) 12.7840 + 8.70983i 1.02354 + 0.697344i
\(157\) −7.78202 15.7804i −0.621073 1.25941i −0.949169 0.314767i \(-0.898074\pi\)
0.328096 0.944644i \(-0.393593\pi\)
\(158\) 10.6755 6.61230i 0.849295 0.526047i
\(159\) 3.22022 + 12.2873i 0.255380 + 0.974450i
\(160\) 2.42254 0.542331i 0.191519 0.0428750i
\(161\) 0.488258i 0.0384802i
\(162\) −6.26444 + 11.0796i −0.492181 + 0.870493i
\(163\) −9.69783 + 14.5138i −0.759592 + 1.13681i 0.227046 + 0.973884i \(0.427093\pi\)
−0.986638 + 0.162926i \(0.947907\pi\)
\(164\) 7.44918 + 0.514696i 0.581683 + 0.0401910i
\(165\) −0.253039 4.21495i −0.0196991 0.328133i
\(166\) 2.61081 + 0.0900888i 0.202638 + 0.00699225i
\(167\) −8.47092 + 6.49997i −0.655500 + 0.502983i −0.882135 0.470997i \(-0.843894\pi\)
0.226635 + 0.973980i \(0.427228\pi\)
\(168\) 0.509239 0.408806i 0.0392886 0.0315401i
\(169\) −5.50658 4.22535i −0.423583 0.325027i
\(170\) −0.480799 + 0.583748i −0.0368756 + 0.0447714i
\(171\) 7.75608 15.3021i 0.593123 1.17018i
\(172\) 2.59804 6.21005i 0.198099 0.473512i
\(173\) 1.05509 0.925290i 0.0802171 0.0703485i −0.618298 0.785943i \(-0.712178\pi\)
0.698515 + 0.715595i \(0.253844\pi\)
\(174\) 5.14418 + 11.5761i 0.389979 + 0.877585i
\(175\) −0.165857 0.618988i −0.0125376 0.0467911i
\(176\) 7.29118 20.9904i 0.549594 1.58221i
\(177\) 12.6383 7.20452i 0.949951 0.541525i
\(178\) 1.60204 + 3.55246i 0.120078 + 0.266268i
\(179\) 14.8149 2.94687i 1.10732 0.220259i 0.392626 0.919698i \(-0.371567\pi\)
0.714693 + 0.699439i \(0.246567\pi\)
\(180\) −0.644517 2.55299i −0.0480395 0.190289i
\(181\) −14.3059 21.4103i −1.06335 1.59142i −0.772902 0.634526i \(-0.781195\pi\)
−0.290449 0.956891i \(-0.593805\pi\)
\(182\) −0.685128 + 0.489125i −0.0507851 + 0.0362564i
\(183\) 9.54996 22.7024i 0.705953 1.67821i
\(184\) 7.04196 + 7.59898i 0.519140 + 0.560204i
\(185\) 1.01154 + 1.31826i 0.0743697 + 0.0969205i
\(186\) −0.755862 + 18.8958i −0.0554225 + 1.38550i
\(187\) 2.17590 + 6.40998i 0.159117 + 0.468744i
\(188\) 0.659050 3.25313i 0.0480661 0.237259i
\(189\) −0.448055 0.528204i −0.0325912 0.0384212i
\(190\) 1.02423 + 3.39803i 0.0743053 + 0.246519i
\(191\) −2.82796 4.89817i −0.204624 0.354419i 0.745389 0.666630i \(-0.232264\pi\)
−0.950013 + 0.312211i \(0.898931\pi\)
\(192\) 2.02946 13.7070i 0.146463 0.989216i
\(193\) −7.70220 + 13.3406i −0.554417 + 0.960278i 0.443532 + 0.896259i \(0.353725\pi\)
−0.997949 + 0.0640195i \(0.979608\pi\)
\(194\) 17.6750 + 4.15418i 1.26899 + 0.298252i
\(195\) 0.643911 + 3.33264i 0.0461115 + 0.238656i
\(196\) −4.44196 13.2392i −0.317283 0.945654i
\(197\) −13.9454 2.77392i −0.993572 0.197634i −0.328574 0.944478i \(-0.606568\pi\)
−0.664999 + 0.746845i \(0.731568\pi\)
\(198\) −22.4647 7.12846i −1.59650 0.506597i
\(199\) −2.61262 + 6.30743i −0.185204 + 0.447122i −0.989025 0.147750i \(-0.952797\pi\)
0.803821 + 0.594871i \(0.202797\pi\)
\(200\) −11.5087 7.24148i −0.813789 0.512050i
\(201\) −10.6062 + 1.33715i −0.748101 + 0.0943156i
\(202\) 15.1208 + 6.88337i 1.06389 + 0.484312i
\(203\) −0.687886 + 0.0450864i −0.0482801 + 0.00316445i
\(204\) 2.07751 + 3.67453i 0.145455 + 0.257268i
\(205\) 1.08029 + 1.23184i 0.0754508 + 0.0860351i
\(206\) −25.9996 2.60714i −1.81148 0.181648i
\(207\) 7.85496 7.68440i 0.545958 0.534102i
\(208\) −3.60848 + 17.4938i −0.250203 + 1.21298i
\(209\) 30.6847 + 8.22195i 2.12251 + 0.568724i
\(210\) 0.142495 + 0.0150792i 0.00983308 + 0.00104056i
\(211\) 11.8146 + 4.01051i 0.813350 + 0.276095i 0.696961 0.717109i \(-0.254535\pi\)
0.116389 + 0.993204i \(0.462868\pi\)
\(212\) −11.6679 + 8.88774i −0.801354 + 0.610412i
\(213\) −12.0341 + 13.5713i −0.824562 + 0.929888i
\(214\) −24.0040 4.00667i −1.64088 0.273890i
\(215\) 1.36464 0.565254i 0.0930679 0.0385500i
\(216\) −14.5914 1.75854i −0.992816 0.119654i
\(217\) −0.950776 0.393824i −0.0645429 0.0267345i
\(218\) 2.58619 4.14259i 0.175159 0.280572i
\(219\) −0.793120 13.2112i −0.0535941 0.892732i
\(220\) 4.38053 2.14102i 0.295336 0.144348i
\(221\) −2.40669 4.88028i −0.161891 0.328283i
\(222\) 8.89455 2.62781i 0.596963 0.176367i
\(223\) −2.28282 + 1.31799i −0.152869 + 0.0882589i −0.574483 0.818516i \(-0.694797\pi\)
0.421614 + 0.906775i \(0.361464\pi\)
\(224\) 0.661848 + 0.361321i 0.0442216 + 0.0241418i
\(225\) −7.34777 + 12.4101i −0.489851 + 0.827341i
\(226\) −5.50910 2.95720i −0.366460 0.196710i
\(227\) −24.9558 1.63569i −1.65638 0.108565i −0.791705 0.610903i \(-0.790806\pi\)
−0.864671 + 0.502339i \(0.832473\pi\)
\(228\) 19.7545 + 1.47390i 1.30827 + 0.0976112i
\(229\) −8.33315 7.30798i −0.550670 0.482925i 0.338206 0.941072i \(-0.390180\pi\)
−0.888876 + 0.458147i \(0.848513\pi\)
\(230\) −0.0783952 + 2.27193i −0.00516922 + 0.149806i
\(231\) 0.786359 1.01324i 0.0517386 0.0666663i
\(232\) −10.0556 + 10.6228i −0.660183 + 0.697422i
\(233\) 23.4859 9.72818i 1.53861 0.637314i 0.557401 0.830244i \(-0.311799\pi\)
0.981213 + 0.192929i \(0.0617988\pi\)
\(234\) 18.6517 + 3.32410i 1.21930 + 0.217304i
\(235\) 0.605573 0.404631i 0.0395032 0.0263952i
\(236\) 13.2906 + 10.2731i 0.865142 + 0.668719i
\(237\) 8.61451 12.7406i 0.559572 0.827591i
\(238\) −0.226709 + 0.0370184i −0.0146954 + 0.00239954i
\(239\) 4.06684 + 15.1776i 0.263062 + 0.981760i 0.963426 + 0.267974i \(0.0863542\pi\)
−0.700364 + 0.713786i \(0.746979\pi\)
\(240\) 2.43519 1.82046i 0.157191 0.117510i
\(241\) −4.52536 + 16.8889i −0.291504 + 1.08791i 0.652450 + 0.757831i \(0.273741\pi\)
−0.943954 + 0.330076i \(0.892926\pi\)
\(242\) 2.80233 27.9461i 0.180140 1.79644i
\(243\) −1.44593 + 15.5213i −0.0927565 + 0.995689i
\(244\) 28.4393 + 0.100528i 1.82064 + 0.00643565i
\(245\) 1.35524 2.74815i 0.0865829 0.175573i
\(246\) 8.58209 3.15918i 0.547174 0.201422i
\(247\) −25.3176 3.33312i −1.61092 0.212081i
\(248\) −20.4773 + 7.58340i −1.30031 + 0.481547i
\(249\) 2.96261 1.20815i 0.187748 0.0765633i
\(250\) −1.37167 5.93016i −0.0867523 0.375056i
\(251\) −6.59279 1.31139i −0.416133 0.0827741i −0.0174169 0.999848i \(-0.505544\pi\)
−0.398717 + 0.917074i \(0.630544\pi\)
\(252\) 0.364111 0.712105i 0.0229368 0.0448584i
\(253\) 16.9187 + 11.3047i 1.06367 + 0.710721i
\(254\) 8.82755 + 8.29724i 0.553890 + 0.520615i
\(255\) −0.244631 + 0.893336i −0.0153194 + 0.0559429i
\(256\) 15.5118 3.92218i 0.969489 0.245136i
\(257\) −8.16622 + 14.1443i −0.509395 + 0.882298i 0.490546 + 0.871415i \(0.336797\pi\)
−0.999941 + 0.0108823i \(0.996536\pi\)
\(258\) −0.209960 8.24183i −0.0130716 0.513114i
\(259\) −0.0330100 + 0.503635i −0.00205114 + 0.0312944i
\(260\) −3.26652 + 2.16596i −0.202581 + 0.134327i
\(261\) 11.5515 + 10.3569i 0.715023 + 0.641078i
\(262\) −9.10840 2.78059i −0.562719 0.171785i
\(263\) −5.25545 + 0.691893i −0.324065 + 0.0426639i −0.290804 0.956783i \(-0.593923\pi\)
−0.0332611 + 0.999447i \(0.510589\pi\)
\(264\) −2.37512 27.1108i −0.146178 1.66856i
\(265\) −3.19084 0.420083i −0.196012 0.0258055i
\(266\) −0.446637 + 0.981133i −0.0273851 + 0.0601571i
\(267\) 3.57106 + 3.16658i 0.218546 + 0.193791i
\(268\) −6.13412 10.7119i −0.374701 0.654332i
\(269\) −3.00973 + 0.598673i −0.183507 + 0.0365017i −0.285988 0.958233i \(-0.592322\pi\)
0.102481 + 0.994735i \(0.467322\pi\)
\(270\) −2.00005 2.52974i −0.121719 0.153955i
\(271\) −8.32687 8.32687i −0.505821 0.505821i 0.407420 0.913241i \(-0.366429\pi\)
−0.913241 + 0.407420i \(0.866429\pi\)
\(272\) −2.99447 + 3.84587i −0.181567 + 0.233190i
\(273\) −0.520394 + 0.890032i −0.0314957 + 0.0538672i
\(274\) −11.0446 + 1.80343i −0.667232 + 0.108949i
\(275\) −25.2887 8.58437i −1.52497 0.517657i
\(276\) 11.6784 + 4.96129i 0.702960 + 0.298635i
\(277\) −13.5928 6.70325i −0.816715 0.402759i −0.0145736 0.999894i \(-0.504639\pi\)
−0.802141 + 0.597135i \(0.796306\pi\)
\(278\) 17.3993 + 14.3308i 1.04354 + 0.859504i
\(279\) 8.62793 + 21.4940i 0.516541 + 1.28681i
\(280\) 0.0471896 + 0.158585i 0.00282012 + 0.00947729i
\(281\) 2.87788 + 21.8597i 0.171680 + 1.30404i 0.832722 + 0.553691i \(0.186781\pi\)
−0.661042 + 0.750349i \(0.729886\pi\)
\(282\) −0.894360 3.96559i −0.0532583 0.236147i
\(283\) 0.558998 + 0.490228i 0.0332290 + 0.0291410i 0.675799 0.737086i \(-0.263799\pi\)
−0.642570 + 0.766227i \(0.722132\pi\)
\(284\) −19.8089 6.80239i −1.17544 0.403648i
\(285\) 2.84798 + 3.28368i 0.168700 + 0.194508i
\(286\) 1.08588 + 35.0652i 0.0642094 + 2.07345i
\(287\) 0.497668i 0.0293764i
\(288\) −4.60359 16.3342i −0.271269 0.962504i
\(289\) 15.5151i 0.912656i
\(290\) −3.20806 + 0.0993453i −0.188384 + 0.00583375i
\(291\) 21.8334 4.21850i 1.27990 0.247293i
\(292\) 13.7302 6.71078i 0.803502 0.392719i
\(293\) −1.99962 1.75362i −0.116819 0.102448i 0.598943 0.800791i \(-0.295587\pi\)
−0.715763 + 0.698344i \(0.753921\pi\)
\(294\) −11.6005 12.5673i −0.676557 0.732939i
\(295\) 0.481107 + 3.65437i 0.0280111 + 0.212766i
\(296\) 6.74998 + 8.31438i 0.392335 + 0.483264i
\(297\) −28.6767 + 3.29604i −1.66399 + 0.191256i
\(298\) 2.77732 3.37200i 0.160886 0.195335i
\(299\) −14.6699 7.23438i −0.848380 0.418375i
\(300\) −16.4906 2.32258i −0.952086 0.134095i
\(301\) 0.424848 + 0.144216i 0.0244878 + 0.00831250i
\(302\) 0.658591 + 4.03337i 0.0378977 + 0.232094i
\(303\) 20.3474 + 0.111668i 1.16893 + 0.00641517i
\(304\) 7.19928 + 21.7115i 0.412907 + 1.24524i
\(305\) 4.41257 + 4.41257i 0.252663 + 0.252663i
\(306\) 4.16358 + 3.06463i 0.238016 + 0.175193i
\(307\) −30.8181 + 6.13010i −1.75888 + 0.349863i −0.965807 0.259260i \(-0.916521\pi\)
−0.793075 + 0.609124i \(0.791521\pi\)
\(308\) 1.42917 + 0.388365i 0.0814345 + 0.0221291i
\(309\) −30.3602 + 10.1204i −1.72713 + 0.575731i
\(310\) −4.36084 1.98517i −0.247679 0.112750i
\(311\) −18.2161 2.39820i −1.03294 0.135989i −0.405054 0.914293i \(-0.632747\pi\)
−0.627888 + 0.778304i \(0.716080\pi\)
\(312\) 4.73746 + 21.3574i 0.268206 + 1.20912i
\(313\) 20.2530 2.66635i 1.14477 0.150711i 0.465806 0.884887i \(-0.345764\pi\)
0.678960 + 0.734176i \(0.262431\pi\)
\(314\) 7.26521 23.7987i 0.409999 1.34304i
\(315\) 0.166790 0.0545834i 0.00939755 0.00307543i
\(316\) 17.4053 + 3.52613i 0.979123 + 0.198360i
\(317\) 0.926473 14.1352i 0.0520359 0.793914i −0.889486 0.456962i \(-0.848937\pi\)
0.941522 0.336952i \(-0.109396\pi\)
\(318\) −8.58279 + 15.7808i −0.481299 + 0.884943i
\(319\) −14.3644 + 24.8799i −0.804253 + 1.39301i
\(320\) 3.02165 + 1.78754i 0.168915 + 0.0999264i
\(321\) −28.8318 + 7.55611i −1.60923 + 0.421741i
\(322\) −0.472912 + 0.503137i −0.0263543 + 0.0280388i
\(323\) −5.79387 3.87134i −0.322380 0.215407i
\(324\) −17.1867 + 5.34966i −0.954814 + 0.297203i
\(325\) 21.0551 + 4.18812i 1.16793 + 0.232315i
\(326\) −24.0510 + 5.56310i −1.33206 + 0.308112i
\(327\) 0.813229 5.92561i 0.0449716 0.327687i
\(328\) 7.17766 + 7.74542i 0.396320 + 0.427669i
\(329\) 0.219331 + 0.0288755i 0.0120921 + 0.00159196i
\(330\) 3.82171 4.58847i 0.210378 0.252587i
\(331\) 1.87901 3.81025i 0.103280 0.209430i −0.839099 0.543979i \(-0.816917\pi\)
0.942379 + 0.334548i \(0.108584\pi\)
\(332\) 2.60312 + 2.62159i 0.142865 + 0.143878i
\(333\) 8.62186 7.39534i 0.472475 0.405262i
\(334\) −15.0247 1.50662i −0.822116 0.0824388i
\(335\) 0.701025 2.61626i 0.0383011 0.142942i
\(336\) 0.920714 + 0.0719686i 0.0502291 + 0.00392621i
\(337\) 2.42891 + 9.06481i 0.132311 + 0.493792i 0.999994 0.00332542i \(-0.00105852\pi\)
−0.867683 + 0.497117i \(0.834392\pi\)
\(338\) −1.58185 9.68760i −0.0860411 0.526936i
\(339\) −7.63860 0.542777i −0.414872 0.0294796i
\(340\) −1.06085 + 0.135850i −0.0575327 + 0.00736752i
\(341\) −35.6599 + 23.8272i −1.93109 + 1.29031i
\(342\) 22.8135 8.25606i 1.23361 0.446437i
\(343\) 1.72194 0.713252i 0.0929762 0.0385120i
\(344\) 8.69207 3.88291i 0.468645 0.209353i
\(345\) 1.05133 + 2.57806i 0.0566017 + 0.138798i
\(346\) 1.98345 + 0.0684409i 0.106631 + 0.00367941i
\(347\) −15.9938 14.0262i −0.858590 0.752963i 0.111998 0.993708i \(-0.464275\pi\)
−0.970588 + 0.240745i \(0.922608\pi\)
\(348\) −5.91134 + 16.9114i −0.316881 + 0.906546i
\(349\) −29.7257 1.94833i −1.59118 0.104291i −0.756114 0.654440i \(-0.772904\pi\)
−0.835067 + 0.550149i \(0.814571\pi\)
\(350\) 0.428620 0.798494i 0.0229107 0.0426813i
\(351\) 22.5087 5.63571i 1.20143 0.300812i
\(352\) 27.8440 14.5681i 1.48409 0.776481i
\(353\) −6.01273 + 3.47145i −0.320025 + 0.184767i −0.651404 0.758731i \(-0.725820\pi\)
0.331379 + 0.943498i \(0.392486\pi\)
\(354\) 20.0015 + 4.81696i 1.06307 + 0.256019i
\(355\) −2.03262 4.12175i −0.107880 0.218760i
\(356\) −1.78994 + 5.21239i −0.0948667 + 0.276256i
\(357\) −0.234778 + 0.155017i −0.0124258 + 0.00820437i
\(358\) 18.1206 + 11.3126i 0.957705 + 0.597889i
\(359\) 13.8067 + 5.71894i 0.728692 + 0.301834i 0.716014 0.698085i \(-0.245964\pi\)
0.0126777 + 0.999920i \(0.495964\pi\)
\(360\) 1.80859 3.25505i 0.0953211 0.171556i
\(361\) −12.6581 + 5.24317i −0.666218 + 0.275957i
\(362\) 5.99549 35.9190i 0.315116 1.88786i
\(363\) −10.8781 32.6331i −0.570952 1.71279i
\(364\) −1.17976 0.159563i −0.0618361 0.00836335i
\(365\) 3.17539 + 1.07790i 0.166207 + 0.0564198i
\(366\) 31.8298 14.1445i 1.66377 0.739343i
\(367\) 32.5747 + 8.72837i 1.70039 + 0.455617i 0.973037 0.230650i \(-0.0740853\pi\)
0.727350 + 0.686267i \(0.240752\pi\)
\(368\) −0.103580 + 14.6512i −0.00539949 + 0.763745i
\(369\) 8.00633 7.83248i 0.416793 0.407743i
\(370\) −0.234464 + 2.33818i −0.0121892 + 0.121556i
\(371\) −0.644558 0.734978i −0.0334638 0.0381582i
\(372\) −19.0807 + 18.7395i −0.989290 + 0.971597i
\(373\) 18.9378 1.24125i 0.980562 0.0642694i 0.433317 0.901242i \(-0.357343\pi\)
0.547245 + 0.836972i \(0.315676\pi\)
\(374\) −3.96630 + 8.71282i −0.205093 + 0.450529i
\(375\) −4.50561 5.93902i −0.232668 0.306690i
\(376\) 3.83001 2.71393i 0.197518 0.139960i
\(377\) 8.83756 21.3358i 0.455158 1.09885i
\(378\) 0.0498925 0.978272i 0.00256619 0.0503169i
\(379\) 8.15299 + 1.62173i 0.418791 + 0.0833027i 0.399988 0.916520i \(-0.369014\pi\)
0.0188033 + 0.999823i \(0.494014\pi\)
\(380\) −2.23579 + 4.49362i −0.114694 + 0.230518i
\(381\) 14.0238 + 4.84643i 0.718461 + 0.248290i
\(382\) 1.83008 7.78651i 0.0936348 0.398393i
\(383\) 3.83417 6.64098i 0.195917 0.339338i −0.751284 0.659979i \(-0.770565\pi\)
0.947201 + 0.320641i \(0.103898\pi\)
\(384\) 15.3674 12.1590i 0.784217 0.620487i
\(385\) 0.162484 + 0.281430i 0.00828093 + 0.0143430i
\(386\) −20.8582 + 6.28703i −1.06165 + 0.320002i
\(387\) −4.36630 9.10457i −0.221952 0.462811i
\(388\) 14.1900 + 21.4002i 0.720387 + 1.08643i
\(389\) 11.4338 + 33.6830i 0.579718 + 1.70779i 0.699171 + 0.714954i \(0.253552\pi\)
−0.119453 + 0.992840i \(0.538114\pi\)
\(390\) −2.56436 + 4.05787i −0.129851 + 0.205478i
\(391\) −2.71714 3.54104i −0.137411 0.179078i
\(392\) 8.24570 17.9449i 0.416471 0.906356i
\(393\) −11.5721 + 1.45893i −0.583735 + 0.0735934i
\(394\) −11.6837 16.3656i −0.588615 0.824486i
\(395\) 2.16490 + 3.24001i 0.108928 + 0.163023i
\(396\) −16.2449 29.1043i −0.816338 1.46255i
\(397\) −5.81172 + 1.15602i −0.291682 + 0.0580192i −0.338762 0.940872i \(-0.610008\pi\)
0.0470804 + 0.998891i \(0.485008\pi\)
\(398\) −8.80141 + 3.96913i −0.441175 + 0.198955i
\(399\) −0.00724575 + 1.32027i −0.000362741 + 0.0660960i
\(400\) −4.84556 18.6091i −0.242278 0.930457i
\(401\) −5.37775 20.0700i −0.268552 1.00225i −0.960040 0.279862i \(-0.909711\pi\)
0.691488 0.722388i \(-0.256955\pi\)
\(402\) −12.2245 8.89490i −0.609703 0.443637i
\(403\) 25.9199 22.7312i 1.29116 1.13232i
\(404\) 8.91454 + 21.7386i 0.443515 + 1.08154i
\(405\) −3.50313 1.82421i −0.174072 0.0906460i
\(406\) −0.752518 0.619804i −0.0373468 0.0307604i
\(407\) 16.6872 + 12.8046i 0.827156 + 0.634699i
\(408\) −1.41821 + 5.79871i −0.0702119 + 0.287079i
\(409\) 10.8513 8.32650i 0.536563 0.411719i −0.304617 0.952475i \(-0.598528\pi\)
0.841179 + 0.540756i \(0.181862\pi\)
\(410\) −0.0799059 + 2.31571i −0.00394627 + 0.114365i
\(411\) −11.4378 + 7.55200i −0.564183 + 0.372513i
\(412\) −24.2667 27.8690i −1.19553 1.37301i
\(413\) −0.622007 + 0.930899i −0.0306069 + 0.0458065i
\(414\) 15.5372 0.310497i 0.763611 0.0152601i
\(415\) 0.810651i 0.0397933i
\(416\) −20.6624 + 14.5318i −1.01306 + 0.712482i
\(417\) 26.6270 + 7.29153i 1.30393 + 0.357068i
\(418\) 23.6563 + 38.1928i 1.15707 + 1.86807i
\(419\) 9.42116 + 19.1042i 0.460254 + 0.933302i 0.996036 + 0.0889463i \(0.0283500\pi\)
−0.535783 + 0.844356i \(0.679983\pi\)
\(420\) 0.132232 + 0.153555i 0.00645226 + 0.00749270i
\(421\) −3.12898 + 1.06215i −0.152497 + 0.0517658i −0.396644 0.917972i \(-0.629825\pi\)
0.244147 + 0.969738i \(0.421492\pi\)
\(422\) 8.29017 + 15.5760i 0.403559 + 0.758226i
\(423\) −2.98738 3.98299i −0.145251 0.193660i
\(424\) −20.6318 2.14257i −1.00197 0.104053i
\(425\) 4.64750 + 3.56615i 0.225437 + 0.172984i
\(426\) −25.5455 + 2.32900i −1.23768 + 0.112840i
\(427\) 0.123970 + 1.89142i 0.00599933 + 0.0915321i
\(428\) −20.8547 27.3782i −1.00805 1.32338i
\(429\) 18.7919 + 38.6392i 0.907279 + 1.86552i
\(430\) 1.95372 + 0.739271i 0.0942165 + 0.0356508i
\(431\) −14.4506 + 14.4506i −0.696061 + 0.696061i −0.963559 0.267497i \(-0.913803\pi\)
0.267497 + 0.963559i \(0.413803\pi\)
\(432\) −13.3327 15.9449i −0.641471 0.767147i
\(433\) 22.4670 + 22.4670i 1.07970 + 1.07970i 0.996536 + 0.0831592i \(0.0265010\pi\)
0.0831592 + 0.996536i \(0.473499\pi\)
\(434\) −0.598303 1.32672i −0.0287195 0.0636844i
\(435\) −3.53504 + 1.71923i −0.169492 + 0.0824310i
\(436\) 6.67738 1.76392i 0.319789 0.0844767i
\(437\) −20.9013 + 1.36994i −0.999845 + 0.0655333i
\(438\) 11.9787 14.3820i 0.572364 0.687199i
\(439\) 13.3246 17.3650i 0.635948 0.828784i −0.358553 0.933509i \(-0.616730\pi\)
0.994501 + 0.104725i \(0.0333964\pi\)
\(440\) 6.58775 + 2.03658i 0.314059 + 0.0970901i
\(441\) −19.2631 8.22788i −0.917289 0.391804i
\(442\) 2.24685 7.36003i 0.106872 0.350081i
\(443\) −3.78570 11.1523i −0.179864 0.529863i 0.819182 0.573534i \(-0.194428\pi\)
−0.999046 + 0.0436713i \(0.986095\pi\)
\(444\) 11.7108 + 5.90709i 0.555771 + 0.280338i
\(445\) −1.08457 + 0.534853i −0.0514137 + 0.0253544i
\(446\) −3.62894 0.852916i −0.171835 0.0403868i
\(447\) 1.41310 5.16032i 0.0668375 0.244075i
\(448\) 0.332053 + 1.01338i 0.0156880 + 0.0478775i
\(449\) −16.0139 −0.755742 −0.377871 0.925858i \(-0.623344\pi\)
−0.377871 + 0.925858i \(0.623344\pi\)
\(450\) −19.5917 + 5.67148i −0.923563 + 0.267356i
\(451\) 17.2447 + 11.5226i 0.812023 + 0.542576i
\(452\) −2.81272 8.38326i −0.132299 0.394315i
\(453\) 2.75790 + 4.17693i 0.129577 + 0.196249i
\(454\) −24.1320 25.8570i −1.13257 1.21353i
\(455\) −0.159023 0.207243i −0.00745513 0.00971572i
\(456\) 18.9289 + 20.6524i 0.886428 + 0.967137i
\(457\) 0.454412 0.592201i 0.0212565 0.0277020i −0.782604 0.622520i \(-0.786109\pi\)
0.803861 + 0.594818i \(0.202776\pi\)
\(458\) −1.50882 15.6019i −0.0705024 0.729029i
\(459\) 6.18890 + 1.33733i 0.288873 + 0.0624214i
\(460\) −2.28130 + 2.26523i −0.106366 + 0.105617i
\(461\) 5.37383 + 6.12768i 0.250284 + 0.285394i 0.863316 0.504664i \(-0.168384\pi\)
−0.613032 + 0.790058i \(0.710050\pi\)
\(462\) 1.79171 0.282475i 0.0833581 0.0131419i
\(463\) 12.4948 3.34797i 0.580682 0.155593i 0.0434910 0.999054i \(-0.486152\pi\)
0.537191 + 0.843461i \(0.319485\pi\)
\(464\) −20.6510 + 1.20698i −0.958696 + 0.0560326i
\(465\) −5.86820 0.0322052i −0.272131 0.00149348i
\(466\) 33.6240 + 12.7231i 1.55760 + 0.589385i
\(467\) −3.67250 18.4629i −0.169943 0.854362i −0.967840 0.251567i \(-0.919054\pi\)
0.797897 0.602794i \(-0.205946\pi\)
\(468\) 16.0005 + 21.4909i 0.739622 + 0.993415i
\(469\) 0.684062 0.457076i 0.0315870 0.0211058i
\(470\) 1.01594 + 0.169577i 0.0468618 + 0.00782202i
\(471\) −3.81194 30.2359i −0.175645 1.39320i
\(472\) 3.74542 + 23.4589i 0.172397 + 1.07978i
\(473\) 14.8338 11.3824i 0.682060 0.523363i
\(474\) 21.2172 4.78511i 0.974536 0.219787i
\(475\) 26.0322 8.83673i 1.19444 0.405457i
\(476\) −0.269473 0.181437i −0.0123513 0.00831615i
\(477\) −1.67981 + 21.9368i −0.0769134 + 1.00442i
\(478\) −10.5098 + 19.5792i −0.480708 + 0.895530i
\(479\) −31.9394 + 18.4402i −1.45935 + 0.842555i −0.998979 0.0451735i \(-0.985616\pi\)
−0.460368 + 0.887728i \(0.652283\pi\)
\(480\) 4.27264 + 0.482710i 0.195018 + 0.0220326i
\(481\) −14.6428 8.45400i −0.667652 0.385469i
\(482\) −21.0213 + 13.0204i −0.957493 + 0.593063i
\(483\) −0.276228 + 0.799304i −0.0125688 + 0.0363696i
\(484\) 29.9554 26.0834i 1.36161 1.18561i
\(485\) −1.09918 + 5.52596i −0.0499113 + 0.250921i
\(486\) −16.5234 + 14.5938i −0.749516 + 0.661986i
\(487\) 24.5477 + 10.1680i 1.11236 + 0.460755i 0.861750 0.507332i \(-0.169368\pi\)
0.250611 + 0.968088i \(0.419368\pi\)
\(488\) 29.2086 + 27.6490i 1.32221 + 1.25161i
\(489\) −24.0869 + 18.2734i −1.08925 + 0.826352i
\(490\) 4.05830 1.51925i 0.183335 0.0686329i
\(491\) 0.420434 + 6.41459i 0.0189739 + 0.289486i 0.996792 + 0.0800318i \(0.0255022\pi\)
−0.977818 + 0.209455i \(0.932831\pi\)
\(492\) 11.9035 + 5.05690i 0.536651 + 0.227983i
\(493\) 4.73791 4.15504i 0.213385 0.187134i
\(494\) −22.8607 27.9565i −1.02855 1.25782i
\(495\) 1.97033 7.04323i 0.0885599 0.316570i
\(496\) −28.4464 12.0192i −1.27728 0.539677i
\(497\) 0.361293 1.34836i 0.0162062 0.0604823i
\(498\) 4.22307 + 1.62453i 0.189240 + 0.0727968i
\(499\) 7.88256 23.2213i 0.352872 1.03953i −0.615096 0.788452i \(-0.710883\pi\)
0.967968 0.251075i \(-0.0807840\pi\)
\(500\) 4.33029 7.43943i 0.193657 0.332702i
\(501\) −17.5446 + 5.84842i −0.783837 + 0.261288i
\(502\) −5.52353 7.73692i −0.246527 0.345316i
\(503\) −13.7284 33.1432i −0.612118 1.47778i −0.860669 0.509164i \(-0.829955\pi\)
0.248552 0.968619i \(-0.420045\pi\)
\(504\) 1.06493 0.381139i 0.0474357 0.0169773i
\(505\) −1.97292 + 4.76304i −0.0877936 + 0.211953i
\(506\) 6.48488 + 28.0361i 0.288288 + 1.24636i
\(507\) −6.62409 10.0324i −0.294186 0.445555i
\(508\) 1.06011 + 17.1002i 0.0470349 + 0.758697i
\(509\) 31.7383 15.6516i 1.40678 0.693745i 0.428981 0.903313i \(-0.358873\pi\)
0.977794 + 0.209569i \(0.0672059\pi\)
\(510\) −1.11734 + 0.683617i −0.0494768 + 0.0302711i
\(511\) 0.509285 + 0.882107i 0.0225294 + 0.0390221i
\(512\) 19.7834 + 10.9826i 0.874312 + 0.485365i
\(513\) 21.3541 20.6623i 0.942808 0.912263i
\(514\) −22.1148 + 6.66579i −0.975442 + 0.294015i
\(515\) 0.530320 8.09111i 0.0233687 0.356537i
\(516\) 7.76642 8.69635i 0.341897 0.382835i
\(517\) 6.07878 6.93151i 0.267344 0.304848i
\(518\) −0.521821 + 0.487010i −0.0229275 + 0.0213980i
\(519\) 2.25071 0.917837i 0.0987953 0.0402886i
\(520\) −5.46394 0.931887i −0.239610 0.0408660i
\(521\) 9.07935 + 21.9195i 0.397773 + 0.960310i 0.988193 + 0.153214i \(0.0489623\pi\)
−0.590420 + 0.807096i \(0.701038\pi\)
\(522\) 1.87217 + 21.8610i 0.0819427 + 0.956830i
\(523\) 17.6895 + 26.4742i 0.773508 + 1.15764i 0.983672 + 0.179971i \(0.0576004\pi\)
−0.210163 + 0.977666i \(0.567400\pi\)
\(524\) −6.69277 11.6874i −0.292375 0.510568i
\(525\) 0.0786706 1.10715i 0.00343347 0.0483198i
\(526\) −6.08574 4.37728i −0.265351 0.190859i
\(527\) 9.08701 2.43486i 0.395836 0.106064i
\(528\) 23.8112 30.2375i 1.03625 1.31592i
\(529\) 9.25675 + 2.48034i 0.402467 + 0.107841i
\(530\) −2.88120 3.52343i −0.125151 0.153048i
\(531\) 24.7654 4.64417i 1.07473 0.201540i
\(532\) −1.41054 + 0.578432i −0.0611547 + 0.0250782i
\(533\) −14.9526 7.37379i −0.647667 0.319394i
\(534\) 0.612839 + 6.72189i 0.0265202 + 0.290885i
\(535\) 0.985707 7.48719i 0.0426158 0.323699i
\(536\) 4.05413 16.9796i 0.175112 0.733408i
\(537\) 25.9199 + 3.55725i 1.11853 + 0.153507i
\(538\) −3.68130 2.29821i −0.158712 0.0990831i
\(539\) 7.56707 38.0422i 0.325937 1.63859i
\(540\) 0.389228 4.54401i 0.0167497 0.195543i
\(541\) −10.8094 + 16.1774i −0.464733 + 0.695523i −0.987618 0.156881i \(-0.949856\pi\)
0.522884 + 0.852404i \(0.324856\pi\)
\(542\) −0.515476 16.6458i −0.0221416 0.714997i
\(543\) −11.3068 43.1432i −0.485221 1.85145i
\(544\) −6.81072 + 1.06271i −0.292007 + 0.0455635i
\(545\) 1.31241 + 0.757720i 0.0562175 + 0.0324572i
\(546\) −1.39831 + 0.413117i −0.0598421 + 0.0176798i
\(547\) −6.17225 0.404551i −0.263907 0.0172973i −0.0671245 0.997745i \(-0.521382\pi\)
−0.196782 + 0.980447i \(0.563049\pi\)
\(548\) −13.1280 8.83911i −0.560799 0.377588i
\(549\) 28.4775 31.7622i 1.21539 1.35558i
\(550\) −17.7448 33.3398i −0.756641 1.42161i
\(551\) −3.86011 29.3204i −0.164446 1.24909i
\(552\) 7.22898 + 16.4239i 0.307686 + 0.699045i
\(553\) −0.154493 + 1.17349i −0.00656972 + 0.0499020i
\(554\) −7.51451 20.0731i −0.319261 0.852825i
\(555\) 0.910143 + 2.73033i 0.0386334 + 0.115896i
\(556\) 4.04919 + 31.6200i 0.171724 + 1.34098i
\(557\) −4.07602 20.4915i −0.172706 0.868253i −0.965827 0.259188i \(-0.916545\pi\)
0.793120 0.609065i \(-0.208455\pi\)
\(558\) −11.9275 + 30.5057i −0.504932 + 1.29141i
\(559\) −10.6279 + 10.6279i −0.449511 + 0.449511i
\(560\) −0.104973 + 0.209124i −0.00443593 + 0.00883712i
\(561\) −0.0643450 + 11.7245i −0.00271665 + 0.495007i
\(562\) −18.2070 + 25.3132i −0.768017 + 1.06777i
\(563\) −1.46196 + 4.30678i −0.0616141 + 0.181509i −0.973378 0.229205i \(-0.926387\pi\)
0.911764 + 0.410714i \(0.134721\pi\)
\(564\) 2.91933 4.95268i 0.122926 0.208545i
\(565\) 0.858158 1.74017i 0.0361030 0.0732096i
\(566\) 0.101213 + 1.04659i 0.00425431 + 0.0439917i
\(567\) −0.434662 1.11818i −0.0182541 0.0469592i
\(568\) −13.8239 26.1959i −0.580040 1.09916i
\(569\) 25.4092 3.34519i 1.06521 0.140238i 0.422513 0.906357i \(-0.361148\pi\)
0.642698 + 0.766119i \(0.277815\pi\)
\(570\) −0.245699 + 6.14221i −0.0102912 + 0.257269i
\(571\) −1.78491 + 2.03530i −0.0746960 + 0.0851745i −0.787981 0.615700i \(-0.788873\pi\)
0.713285 + 0.700874i \(0.247207\pi\)
\(572\) −32.8441 + 37.1855i −1.37328 + 1.55481i
\(573\) −1.85841 9.61846i −0.0776364 0.401817i
\(574\) −0.482025 + 0.512833i −0.0201193 + 0.0214052i
\(575\) 17.6090 0.734345
\(576\) 11.0769 21.2909i 0.461539 0.887120i
\(577\) −15.4697 −0.644013 −0.322006 0.946738i \(-0.604357\pi\)
−0.322006 + 0.946738i \(0.604357\pi\)
\(578\) −15.0275 + 15.9879i −0.625061 + 0.665011i
\(579\) −20.1562 + 17.4818i −0.837665 + 0.726519i
\(580\) −3.40204 3.00485i −0.141262 0.124770i
\(581\) −0.162353 + 0.185128i −0.00673552 + 0.00768039i
\(582\) 26.5846 + 16.8001i 1.10197 + 0.696385i
\(583\) −40.3914 + 5.31762i −1.67284 + 0.220233i
\(584\) 20.6485 + 6.38341i 0.854441 + 0.264147i
\(585\) −0.831302 + 5.82000i −0.0343701 + 0.240627i
\(586\) −0.362056 3.74384i −0.0149564 0.154656i
\(587\) 15.4998 31.4304i 0.639744 1.29727i −0.299524 0.954089i \(-0.596828\pi\)
0.939268 0.343184i \(-0.111505\pi\)
\(588\) 0.218234 24.1862i 0.00899983 0.997421i
\(589\) 14.1911 41.8056i 0.584734 1.72257i
\(590\) −3.04374 + 4.23172i −0.125309 + 0.174217i
\(591\) −21.2601 12.4306i −0.874523 0.511326i
\(592\) −1.09737 + 15.1056i −0.0451017 + 0.620835i
\(593\) −13.8865 + 13.8865i −0.570252 + 0.570252i −0.932199 0.361947i \(-0.882112\pi\)
0.361947 + 0.932199i \(0.382112\pi\)
\(594\) −32.7430 24.3789i −1.34346 1.00028i
\(595\) −0.0139065 0.0699128i −0.000570112 0.00286615i
\(596\) 6.12796 0.784735i 0.251011 0.0321440i
\(597\) −7.84537 + 8.84751i −0.321090 + 0.362104i
\(598\) −8.10992 21.6636i −0.331639 0.885890i
\(599\) 4.20273 31.9229i 0.171719 1.30433i −0.660894 0.750479i \(-0.729823\pi\)
0.832613 0.553855i \(-0.186844\pi\)
\(600\) −14.7435 18.3656i −0.601903 0.749774i
\(601\) −0.899304 6.83089i −0.0366834 0.278638i −0.999949 0.0100878i \(-0.996789\pi\)
0.963266 0.268550i \(-0.0865444\pi\)
\(602\) 0.298111 + 0.560106i 0.0121501 + 0.0228282i
\(603\) −18.1193 3.81137i −0.737876 0.155211i
\(604\) −3.22793 + 4.79417i −0.131343 + 0.195072i
\(605\) 8.69686 + 0.570022i 0.353577 + 0.0231747i
\(606\) 20.8593 + 19.8229i 0.847350 + 0.805250i
\(607\) 2.96071 + 1.70937i 0.120172 + 0.0693811i 0.558881 0.829248i \(-0.311231\pi\)
−0.438709 + 0.898629i \(0.644564\pi\)
\(608\) −13.6104 + 29.3461i −0.551973 + 1.19014i
\(609\) −1.15161 0.315357i −0.0466657 0.0127789i
\(610\) 0.273161 + 8.82090i 0.0110599 + 0.357148i
\(611\) −4.11734 + 6.16203i −0.166570 + 0.249289i
\(612\) 1.32216 + 7.19072i 0.0534450 + 0.290668i
\(613\) 4.97044 24.9881i 0.200754 1.00926i −0.740627 0.671916i \(-0.765472\pi\)
0.941382 0.337343i \(-0.109528\pi\)
\(614\) −37.6947 23.5325i −1.52123 0.949696i
\(615\) 1.07159 + 2.62774i 0.0432107 + 0.105961i
\(616\) 1.09656 + 1.78445i 0.0441818 + 0.0718975i
\(617\) 5.63613 42.8107i 0.226902 1.72349i −0.376811 0.926290i \(-0.622979\pi\)
0.603713 0.797202i \(-0.293687\pi\)
\(618\) −41.0877 18.9771i −1.65279 0.763371i
\(619\) 18.6954 + 9.21957i 0.751433 + 0.370566i 0.777325 0.629099i \(-0.216576\pi\)
−0.0258923 + 0.999665i \(0.508243\pi\)
\(620\) −2.57096 6.26944i −0.103252 0.251787i
\(621\) 17.2064 8.13586i 0.690468 0.326481i
\(622\) −16.4484 20.1148i −0.659521 0.806532i
\(623\) −0.354800 0.0950685i −0.0142148 0.00380884i
\(624\) −15.8043 + 26.5968i −0.632677 + 1.06472i
\(625\) −21.3936 + 5.73239i −0.855743 + 0.229296i
\(626\) 23.4527 + 16.8688i 0.937358 + 0.674212i
\(627\) 45.5810 + 30.8194i 1.82033 + 1.23081i
\(628\) 30.5372 17.4871i 1.21857 0.697809i
\(629\) −2.56331 3.83626i −0.102206 0.152962i
\(630\) 0.224740 + 0.105301i 0.00895387 + 0.00419528i
\(631\) 1.65362 + 3.99220i 0.0658296 + 0.158927i 0.953371 0.301802i \(-0.0975881\pi\)
−0.887541 + 0.460729i \(0.847588\pi\)
\(632\) 14.5204 + 20.4918i 0.577589 + 0.815119i
\(633\) 17.0722 + 13.2494i 0.678558 + 0.526618i
\(634\) 14.6457 13.6686i 0.581653 0.542851i
\(635\) −2.47874 + 2.82646i −0.0983659 + 0.112165i
\(636\) −24.1291 + 7.94866i −0.956781 + 0.315185i
\(637\) −2.03922 + 31.1126i −0.0807970 + 1.23272i
\(638\) −38.9001 + 11.7252i −1.54007 + 0.464204i
\(639\) −27.3782 + 15.4087i −1.08307 + 0.609557i
\(640\) 1.38238 + 4.76868i 0.0546432 + 0.188499i
\(641\) −12.5373 21.7152i −0.495193 0.857699i 0.504792 0.863241i \(-0.331569\pi\)
−0.999985 + 0.00554226i \(0.998236\pi\)
\(642\) −37.0290 20.1392i −1.46142 0.794830i
\(643\) 7.73239 3.81319i 0.304936 0.150378i −0.283383 0.959007i \(-0.591457\pi\)
0.588319 + 0.808629i \(0.299790\pi\)
\(644\) −0.974646 + 0.0604225i −0.0384064 + 0.00238098i
\(645\) 2.55378 0.153313i 0.100555 0.00603669i
\(646\) −2.22077 9.60107i −0.0873751 0.377749i
\(647\) −1.58724 + 3.83193i −0.0624007 + 0.150649i −0.952004 0.306085i \(-0.900981\pi\)
0.889603 + 0.456734i \(0.150981\pi\)
\(648\) −22.8919 11.1338i −0.899279 0.437376i
\(649\) 17.8553 + 43.1064i 0.700881 + 1.69208i
\(650\) 17.6403 + 24.7091i 0.691908 + 0.969169i
\(651\) −1.33367 1.18260i −0.0522705 0.0463499i
\(652\) −30.1721 17.5624i −1.18163 0.687796i
\(653\) −5.73182 + 16.8854i −0.224304 + 0.660777i 0.775272 + 0.631628i \(0.217613\pi\)
−0.999575 + 0.0291488i \(0.990720\pi\)
\(654\) 6.57736 5.31851i 0.257195 0.207970i
\(655\) 0.764868 2.85453i 0.0298859 0.111536i
\(656\) −0.105576 + 14.9335i −0.00412206 + 0.583055i
\(657\) 6.17577 22.0762i 0.240940 0.861273i
\(658\) 0.198047 + 0.242193i 0.00772068 + 0.00944166i
\(659\) 15.2938 13.4123i 0.595764 0.522471i −0.307505 0.951546i \(-0.599494\pi\)
0.903268 + 0.429076i \(0.141161\pi\)
\(660\) 8.38242 1.02671i 0.326285 0.0399647i
\(661\) −0.597712 9.11933i −0.0232483 0.354701i −0.993596 0.112989i \(-0.963958\pi\)
0.970348 0.241712i \(-0.0777090\pi\)
\(662\) 5.62676 2.10642i 0.218690 0.0818682i
\(663\) −1.17889 9.35082i −0.0457843 0.363156i
\(664\) 0.143258 + 5.22277i 0.00555950 + 0.202683i
\(665\) −0.309057 0.128015i −0.0119847 0.00496423i
\(666\) 16.0475 + 0.730157i 0.621828 + 0.0282930i
\(667\) 3.69555 18.5788i 0.143092 0.719374i
\(668\) −14.0233 16.1050i −0.542578 0.623121i
\(669\) −4.48273 + 0.866124i −0.173312 + 0.0334863i
\(670\) 3.25641 2.01700i 0.125806 0.0779233i
\(671\) 68.4100 + 39.4965i 2.64094 + 1.52475i
\(672\) 0.879065 + 0.965936i 0.0339107 + 0.0372618i
\(673\) 21.3402 12.3208i 0.822605 0.474931i −0.0287088 0.999588i \(-0.509140\pi\)
0.851314 + 0.524656i \(0.175806\pi\)
\(674\) −6.27696 + 11.6936i −0.241780 + 0.450421i
\(675\) −19.0496 + 16.1591i −0.733220 + 0.621962i
\(676\) 7.75306 11.5149i 0.298194 0.442883i
\(677\) −3.88943 + 1.32028i −0.149483 + 0.0507426i −0.395178 0.918605i \(-0.629317\pi\)
0.245695 + 0.969347i \(0.420984\pi\)
\(678\) −7.34566 7.95782i −0.282108 0.305618i
\(679\) −1.35773 + 1.04182i −0.0521048 + 0.0399814i
\(680\) −1.22476 0.887516i −0.0469673 0.0340347i
\(681\) −39.9286 16.7963i −1.53007 0.643634i
\(682\) −59.8248 9.98577i −2.29081 0.382375i
\(683\) 35.3482 23.6189i 1.35256 0.903753i 0.353069 0.935597i \(-0.385138\pi\)
0.999493 + 0.0318439i \(0.0101379\pi\)
\(684\) 31.5053 + 13.5888i 1.20463 + 0.519581i
\(685\) −0.677487 3.40596i −0.0258855 0.130135i
\(686\) 2.46525 + 0.932832i 0.0941236 + 0.0356157i
\(687\) −9.50737 16.6780i −0.362729 0.636304i
\(688\) 12.7178 + 4.41763i 0.484862 + 0.168421i
\(689\) 31.6328 8.47599i 1.20512 0.322910i
\(690\) −1.41366 + 3.67491i −0.0538172 + 0.139901i
\(691\) 4.25055 + 4.84682i 0.161699 + 0.184382i 0.827015 0.562179i \(-0.190037\pi\)
−0.665317 + 0.746561i \(0.731704\pi\)
\(692\) 1.97760 + 1.99163i 0.0751772 + 0.0757105i
\(693\) 1.86054 1.21385i 0.0706762 0.0461103i
\(694\) −2.89586 29.9446i −0.109925 1.13668i
\(695\) −4.25819 + 5.54938i −0.161522 + 0.210500i
\(696\) −22.4713 + 11.7012i −0.851773 + 0.443533i
\(697\) −2.76950 3.60928i −0.104902 0.136711i
\(698\) −28.7445 30.7991i −1.08799 1.16576i
\(699\) 43.9513 2.63856i 1.66239 0.0997995i
\(700\) 1.21508 0.407679i 0.0459256 0.0154088i
\(701\) 38.2580 + 25.5632i 1.44498 + 0.965507i 0.997460 + 0.0712353i \(0.0226941\pi\)
0.447524 + 0.894272i \(0.352306\pi\)
\(702\) 28.6532 + 15.9938i 1.08145 + 0.603647i
\(703\) −21.6522 −0.816626
\(704\) 42.8027 + 11.9568i 1.61319 + 0.450640i
\(705\) 1.22027 0.319803i 0.0459580 0.0120445i
\(706\) −9.55829 2.24650i −0.359731 0.0845482i
\(707\) −1.40447 + 0.692607i −0.0528204 + 0.0260482i
\(708\) 15.9454 + 24.3365i 0.599266 + 0.914624i
\(709\) −2.28936 6.74424i −0.0859787 0.253285i 0.895434 0.445194i \(-0.146865\pi\)
−0.981413 + 0.191909i \(0.938532\pi\)
\(710\) 1.89763 6.21609i 0.0712170 0.233286i
\(711\) 21.3103 15.9834i 0.799198 0.599425i
\(712\) −6.89305 + 3.63755i −0.258328 + 0.136323i
\(713\) 17.2150 22.4350i 0.644705 0.840196i
\(714\) −0.392078 0.0676581i −0.0146731 0.00253204i
\(715\) −10.8631 + 0.712005i −0.406257 + 0.0266275i
\(716\) 7.71581 + 29.2084i 0.288353 + 1.09157i
\(717\) −1.92901 + 27.1473i −0.0720403 + 1.01384i
\(718\) 8.68830 + 19.2660i 0.324244 + 0.719000i
\(719\) 16.5301 + 16.5301i 0.616470 + 0.616470i 0.944624 0.328154i \(-0.106426\pi\)
−0.328154 + 0.944624i \(0.606426\pi\)
\(720\) 5.01644 1.60250i 0.186952 0.0597217i
\(721\) 1.74155 1.74155i 0.0648587 0.0648587i
\(722\) −18.1223 6.85732i −0.674440 0.255203i
\(723\) −16.9630 + 25.0877i −0.630860 + 0.933023i
\(724\) 40.9682 31.2066i 1.52257 1.15978i
\(725\) 1.62604 + 24.8085i 0.0603895 + 0.921366i
\(726\) 20.3978 44.1637i 0.757034 1.63907i
\(727\) 7.51715 + 5.76811i 0.278796 + 0.213928i 0.738688 0.674047i \(-0.235445\pi\)
−0.459893 + 0.887974i \(0.652112\pi\)
\(728\) −1.06116 1.30710i −0.0393293 0.0484444i
\(729\) −11.1481 + 24.5911i −0.412892 + 0.910780i
\(730\) 2.22813 + 4.18633i 0.0824669 + 0.154943i
\(731\) −3.88372 + 1.31835i −0.143645 + 0.0487608i
\(732\) 46.4997 + 16.2539i 1.71868 + 0.600760i
\(733\) 4.04347 + 8.19935i 0.149349 + 0.302850i 0.958672 0.284514i \(-0.0918323\pi\)
−0.809323 + 0.587364i \(0.800166\pi\)
\(734\) 25.1134 + 40.5452i 0.926951 + 1.49655i
\(735\) 3.77333 3.73214i 0.139181 0.137662i
\(736\) −14.2974 + 14.9973i −0.527009 + 0.552808i
\(737\) 34.2862i 1.26295i
\(738\) 15.8366 0.316480i 0.582954 0.0116498i
\(739\) −22.9806 + 34.3928i −0.845354 + 1.26516i 0.116938 + 0.993139i \(0.462692\pi\)
−0.962291 + 0.272022i \(0.912308\pi\)
\(740\) −2.50629 + 2.18233i −0.0921331 + 0.0802242i
\(741\) −39.5605 19.7797i −1.45329 0.726625i
\(742\) 0.0476761 1.38167i 0.00175024 0.0507228i
\(743\) 3.44095 2.64033i 0.126236 0.0968645i −0.543714 0.839271i \(-0.682982\pi\)
0.669950 + 0.742406i \(0.266316\pi\)
\(744\) −37.8126 + 0.829540i −1.38628 + 0.0304124i
\(745\) 1.07547 + 0.825240i 0.0394023 + 0.0302345i
\(746\) 20.7171 + 17.0635i 0.758508 + 0.624738i
\(747\) 5.53345 0.301726i 0.202458 0.0110396i
\(748\) −12.5261 + 5.13670i −0.458001 + 0.187816i
\(749\) 1.72460 1.51243i 0.0630154 0.0552630i
\(750\) 1.10944 10.4840i 0.0405111 0.382821i
\(751\) −8.51734 31.7871i −0.310802 1.15993i −0.927835 0.372992i \(-0.878332\pi\)
0.617033 0.786938i \(-0.288335\pi\)
\(752\) 6.57534 + 0.912996i 0.239778 + 0.0332935i
\(753\) −10.0508 5.87663i −0.366273 0.214156i
\(754\) 29.7720 13.4262i 1.08423 0.488952i
\(755\) −1.24381 + 0.247410i −0.0452671 + 0.00900418i
\(756\) 0.998936 0.959759i 0.0363310 0.0349061i
\(757\) 9.65389 + 14.4481i 0.350877 + 0.525124i 0.964363 0.264581i \(-0.0852336\pi\)
−0.613487 + 0.789705i \(0.710234\pi\)
\(758\) 6.83068 + 9.56788i 0.248102 + 0.347521i
\(759\) 21.3012 + 28.0780i 0.773185 + 1.01917i
\(760\) −6.65630 + 2.46504i −0.241449 + 0.0894164i
\(761\) −11.0953 14.4597i −0.402205 0.524164i 0.547712 0.836667i \(-0.315499\pi\)
−0.949917 + 0.312503i \(0.898832\pi\)
\(762\) 9.75705 + 18.5771i 0.353461 + 0.672978i
\(763\) 0.147962 + 0.435882i 0.00535658 + 0.0157800i
\(764\) 9.42761 6.25124i 0.341079 0.226162i
\(765\) −0.905872 + 1.32404i −0.0327519 + 0.0478707i
\(766\) 10.3833 3.12970i 0.375162 0.113080i
\(767\) −18.7530 32.4812i −0.677133 1.17283i
\(768\) 27.6126 + 2.35488i 0.996383 + 0.0849746i
\(769\) −1.03177 + 1.78708i −0.0372067 + 0.0644439i −0.884029 0.467432i \(-0.845179\pi\)
0.846822 + 0.531876i \(0.178513\pi\)
\(770\) −0.105149 + 0.447382i −0.00378930 + 0.0161225i
\(771\) −21.3705 + 18.5350i −0.769641 + 0.667521i
\(772\) −27.5833 13.7240i −0.992743 0.493937i
\(773\) −44.3475 8.82127i −1.59507 0.317279i −0.683984 0.729497i \(-0.739754\pi\)
−0.911085 + 0.412218i \(0.864754\pi\)
\(774\) 4.31903 13.6111i 0.155244 0.489240i
\(775\) −14.2032 + 34.2896i −0.510195 + 1.23172i
\(776\) −6.10514 + 35.7963i −0.219162 + 1.28501i
\(777\) −0.338967 + 0.805801i −0.0121604 + 0.0289080i
\(778\) −20.8420 + 45.7838i −0.747222 + 1.64143i
\(779\) −21.3041 + 1.39634i −0.763298 + 0.0500292i
\(780\) −6.57283 + 1.69777i −0.235345 + 0.0607900i
\(781\) −38.3572 43.7380i −1.37253 1.56507i
\(782\) 0.629803 6.28068i 0.0225217 0.224597i
\(783\) 13.0511 + 23.4900i 0.466409 + 0.839465i
\(784\) 25.8779 10.5053i 0.924210 0.375188i
\(785\) 7.45839 + 1.99847i 0.266201 + 0.0713284i
\(786\) −13.3378 9.70497i −0.475744 0.346165i
\(787\) 7.20773 + 2.44670i 0.256928 + 0.0872153i 0.446932 0.894568i \(-0.352517\pi\)
−0.190004 + 0.981783i \(0.560850\pi\)
\(788\) 3.81145 28.1807i 0.135777 1.00390i
\(789\) −8.99487 1.84056i −0.320226 0.0655258i
\(790\) −0.907293 + 5.43560i −0.0322800 + 0.193390i
\(791\) 0.544489 0.225535i 0.0193598 0.00801909i
\(792\) 11.4496 45.7255i 0.406842 1.62479i
\(793\) −58.6650 24.2998i −2.08325 0.862912i
\(794\) −7.10851 4.43780i −0.252272 0.157492i
\(795\) −4.98592 2.49289i −0.176832 0.0884138i
\(796\) −12.9140 4.43468i −0.457724 0.157183i
\(797\) 5.96551 + 12.0969i 0.211309 + 0.428493i 0.976562 0.215238i \(-0.0690526\pi\)
−0.765253 + 0.643730i \(0.777386\pi\)
\(798\) −1.28624 + 1.35348i −0.0455323 + 0.0479128i
\(799\) −1.75137 + 1.01115i −0.0619589 + 0.0357720i
\(800\) 13.0310 23.8695i 0.460715 0.843913i
\(801\) 4.05455 + 7.20415i 0.143260 + 0.254546i
\(802\) 13.8976 25.8904i 0.490741 0.914221i
\(803\) 42.3575 + 2.77626i 1.49477 + 0.0979721i
\(804\) −3.98171 21.0062i −0.140424 0.740832i
\(805\) −0.161098 0.141279i −0.00567796 0.00497943i
\(806\) 48.7265 + 1.68136i 1.71632 + 0.0592232i
\(807\) −5.26578 0.722674i −0.185364 0.0254393i
\(808\) −11.8692 + 31.0354i −0.417555 + 1.09182i
\(809\) −37.8247 + 15.6675i −1.32984 + 0.550840i −0.930611 0.366009i \(-0.880724\pi\)
−0.399234 + 0.916849i \(0.630724\pi\)
\(810\) −1.84300 5.27282i −0.0647564 0.185268i
\(811\) 2.47036 1.65064i 0.0867461 0.0579619i −0.511441 0.859319i \(-0.670888\pi\)
0.598187 + 0.801357i \(0.295888\pi\)
\(812\) −0.175127 1.36756i −0.00614574 0.0479918i
\(813\) −8.92065 18.3424i −0.312861 0.643295i
\(814\) 4.79366 + 29.3575i 0.168018 + 1.02898i
\(815\) −1.98265 7.39936i −0.0694493 0.259188i
\(816\) −7.07788 + 4.60179i −0.247775 + 0.161095i
\(817\) −4.98157 + 18.5915i −0.174283 + 0.650433i
\(818\) 19.2468 + 1.92999i 0.672947 + 0.0674807i
\(819\) −1.35544 + 1.16262i −0.0473629 + 0.0406252i
\(820\) −2.32526 + 2.30888i −0.0812017 + 0.0806297i
\(821\) 9.41649 19.0947i 0.328638 0.666411i −0.668360 0.743838i \(-0.733004\pi\)
0.996998 + 0.0774264i \(0.0246703\pi\)
\(822\) −19.1009 3.29611i −0.666221 0.114965i
\(823\) −23.7600 3.12806i −0.828221 0.109037i −0.295515 0.955338i \(-0.595491\pi\)
−0.532706 + 0.846301i \(0.678825\pi\)
\(824\) 1.98682 52.2222i 0.0692141 1.81925i
\(825\) −36.5424 28.3599i −1.27224 0.987366i
\(826\) −1.54260 + 0.356810i −0.0536739 + 0.0124150i
\(827\) −46.9033 9.32964i −1.63099 0.324423i −0.707107 0.707106i \(-0.750000\pi\)
−0.923880 + 0.382683i \(0.875000\pi\)
\(828\) 16.3114 + 14.7289i 0.566860 + 0.511864i
\(829\) 37.5976 + 25.1219i 1.30582 + 0.872521i 0.996909 0.0785699i \(-0.0250354\pi\)
0.308911 + 0.951091i \(0.400035\pi\)
\(830\) −0.785171 + 0.835355i −0.0272537 + 0.0289956i
\(831\) −18.4599 18.6636i −0.640366 0.647433i
\(832\) −35.3671 5.03827i −1.22613 0.174670i
\(833\) −4.25408 + 7.36828i −0.147395 + 0.255296i
\(834\) 20.3761 + 33.3038i 0.705565 + 1.15322i
\(835\) 0.306463 4.67572i 0.0106056 0.161810i
\(836\) −12.6151 + 62.2694i −0.436303 + 2.15363i
\(837\) 1.96433 + 40.0679i 0.0678971 + 1.38495i
\(838\) −8.79549 + 28.8114i −0.303835 + 0.995274i
\(839\) −11.5585 + 1.52171i −0.399044 + 0.0525351i −0.327378 0.944894i \(-0.606165\pi\)
−0.0716662 + 0.997429i \(0.522832\pi\)
\(840\) −0.0124667 + 0.286310i −0.000430142 + 0.00987862i
\(841\) −2.23579 0.294348i −0.0770963 0.0101499i
\(842\) −4.25309 1.93612i −0.146571 0.0667231i
\(843\) −7.65571 + 37.4136i −0.263677 + 1.28859i
\(844\) −6.54359 + 24.0802i −0.225240 + 0.828875i
\(845\) 2.98747 0.594245i 0.102772 0.0204427i
\(846\) 0.779388 6.99785i 0.0267959 0.240591i
\(847\) 1.87193 + 1.87193i 0.0643203 + 0.0643203i
\(848\) −19.1853 22.1912i −0.658827 0.762049i
\(849\) 0.637766 + 1.11878i 0.0218881 + 0.0383963i
\(850\) 1.33506 + 8.17624i 0.0457923 + 0.280443i
\(851\) −13.1329 4.45802i −0.450190 0.152819i
\(852\) −28.5798 22.3426i −0.979126 0.765444i
\(853\) 50.0434 + 24.6787i 1.71345 + 0.844982i 0.987573 + 0.157164i \(0.0502350\pi\)
0.725882 + 0.687819i \(0.241432\pi\)
\(854\) −1.70422 + 2.06913i −0.0583172 + 0.0708041i
\(855\) 2.80457 + 6.98677i 0.0959144 + 0.238942i
\(856\) 5.02746 48.4118i 0.171835 1.65468i
\(857\) 4.57021 + 34.7142i 0.156115 + 1.18581i 0.872680 + 0.488292i \(0.162380\pi\)
−0.716565 + 0.697521i \(0.754287\pi\)
\(858\) −18.0602 + 58.0179i −0.616567 + 1.98070i
\(859\) 20.5288 + 18.0033i 0.700434 + 0.614264i 0.933661 0.358158i \(-0.116595\pi\)
−0.233227 + 0.972422i \(0.574928\pi\)
\(860\) 1.29722 + 2.65411i 0.0442347 + 0.0905043i
\(861\) −0.281552 + 0.814707i −0.00959525 + 0.0277651i
\(862\) −28.8874 + 0.894567i −0.983907 + 0.0304691i
\(863\) 42.4433i 1.44479i 0.691482 + 0.722394i \(0.256958\pi\)
−0.691482 + 0.722394i \(0.743042\pi\)
\(864\) 1.70465 29.3444i 0.0579935 0.998317i
\(865\) 0.615856i 0.0209397i
\(866\) 1.39082 + 44.9125i 0.0472621 + 1.52619i
\(867\) −8.77757 + 25.3991i −0.298102 + 0.862598i
\(868\) 0.668480 1.94664i 0.0226897 0.0660734i
\(869\) 37.0858 + 32.5234i 1.25805 + 1.10328i
\(870\) −5.30796 1.65230i −0.179957 0.0560182i
\(871\) 3.59743 + 27.3252i 0.121894 + 0.925878i
\(872\) 8.58935 + 4.64982i 0.290872 + 0.157463i
\(873\) 38.1289 + 5.44616i 1.29047 + 0.184325i
\(874\) −22.8651 18.8326i −0.773424 0.637024i
\(875\) 0.514549 + 0.253748i 0.0173949 + 0.00857823i
\(876\) 26.2737 3.21810i 0.887706 0.108730i
\(877\) 0.571811 + 0.194104i 0.0193087 + 0.00655442i 0.331077 0.943604i \(-0.392588\pi\)
−0.311768 + 0.950158i \(0.600921\pi\)
\(878\) 30.5498 4.98834i 1.03101 0.168348i
\(879\) −2.28139 4.00204i −0.0769493 0.134986i
\(880\) 4.81594 + 8.47933i 0.162345 + 0.285838i
\(881\) 0.143262 + 0.143262i 0.00482662 + 0.00482662i 0.709516 0.704689i \(-0.248914\pi\)
−0.704689 + 0.709516i \(0.748914\pi\)
\(882\) −11.8808 27.1362i −0.400048 0.913724i
\(883\) 26.6496 5.30093i 0.896830 0.178390i 0.274908 0.961470i \(-0.411352\pi\)
0.621921 + 0.783080i \(0.286352\pi\)
\(884\) 9.44402 5.40809i 0.317637 0.181894i
\(885\) −1.27983 + 6.25457i −0.0430212 + 0.210245i
\(886\) 6.90071 15.1589i 0.231834 0.509272i
\(887\) −25.6226 3.37328i −0.860323 0.113264i −0.312561 0.949898i \(-0.601187\pi\)
−0.547762 + 0.836634i \(0.684520\pi\)
\(888\) 6.34626 + 17.4298i 0.212967 + 0.584906i
\(889\) −1.13214 + 0.149049i −0.0379706 + 0.00499893i
\(890\) −1.63567 0.499332i −0.0548276 0.0167377i
\(891\) −48.8100 10.8279i −1.63520 0.362747i
\(892\) −2.91342 4.39379i −0.0975486 0.147115i
\(893\) −0.620704 + 9.47012i −0.0207711 + 0.316905i
\(894\) 6.45429 3.94889i 0.215864 0.132071i
\(895\) −3.31444 + 5.74078i −0.110790 + 0.191893i
\(896\) −0.639353 + 1.36587i −0.0213593 + 0.0456306i
\(897\) −19.9225 20.1424i −0.665194 0.672535i
\(898\) −16.5019 15.5105i −0.550675 0.517594i
\(899\) 33.1973 + 22.1817i 1.10719 + 0.739802i
\(900\) −25.6820 13.1316i −0.856066 0.437721i
\(901\) 8.76471 + 1.74341i 0.291995 + 0.0580814i
\(902\) 6.60985 + 28.5764i 0.220084 + 0.951490i
\(903\) 0.613909 + 0.476444i 0.0204296 + 0.0158551i
\(904\) 5.22132 11.3630i 0.173659 0.377929i
\(905\) 11.2037 + 1.47499i 0.372422 + 0.0490303i
\(906\) −1.20370 + 6.97543i −0.0399903 + 0.231743i
\(907\) −13.8800 + 28.1460i −0.460879 + 0.934571i 0.535083 + 0.844800i \(0.320280\pi\)
−0.995962 + 0.0897715i \(0.971386\pi\)
\(908\) 0.176807 50.0184i 0.00586754 1.65992i
\(909\) 33.2465 + 11.6942i 1.10272 + 0.387871i
\(910\) 0.0368599 0.367584i 0.00122189 0.0121853i
\(911\) −8.23219 + 30.7230i −0.272745 + 1.01790i 0.684593 + 0.728926i \(0.259980\pi\)
−0.957338 + 0.288972i \(0.906687\pi\)
\(912\) −0.497507 + 39.6157i −0.0164741 + 1.31181i
\(913\) 2.65591 + 9.91199i 0.0878977 + 0.328039i
\(914\) 1.04185 0.170119i 0.0344612 0.00562702i
\(915\) 4.72722 + 9.71997i 0.156277 + 0.321332i
\(916\) 13.5567 17.5387i 0.447927 0.579496i
\(917\) 0.746361 0.498702i 0.0246470 0.0164686i
\(918\) 5.08220 + 7.37246i 0.167738 + 0.243327i
\(919\) 46.3909 19.2157i 1.53029 0.633869i 0.550673 0.834721i \(-0.314371\pi\)
0.979622 + 0.200852i \(0.0643711\pi\)
\(920\) −4.54485 + 0.124663i −0.149839 + 0.00411003i
\(921\) −53.9189 7.39981i −1.77669 0.243832i
\(922\) −0.397486 + 11.5193i −0.0130905 + 0.379369i
\(923\) 35.1588 + 30.8334i 1.15727 + 1.01489i
\(924\) 2.11991 + 1.44431i 0.0697399 + 0.0475145i
\(925\) 18.1635 + 1.19050i 0.597214 + 0.0391434i
\(926\) 16.1183 + 8.65206i 0.529680 + 0.284324i
\(927\) −55.4268 0.608393i −1.82045 0.0199822i
\(928\) −22.4493 18.7581i −0.736934 0.615765i
\(929\) 19.6395 11.3388i 0.644350 0.372016i −0.141938 0.989876i \(-0.545333\pi\)
0.786288 + 0.617860i \(0.212000\pi\)
\(930\) −6.01583 5.71694i −0.197267 0.187466i
\(931\) 17.6596 + 35.8101i 0.578770 + 1.17363i
\(932\) 22.3255 + 45.6779i 0.731296 + 1.49623i
\(933\) −28.4640 14.2316i −0.931868 0.465922i
\(934\) 14.0982 22.5826i 0.461306 0.738925i
\(935\) −2.74454 1.13682i −0.0897560 0.0371781i
\(936\) −4.32730 + 37.6433i −0.141442 + 1.23041i
\(937\) 15.9418 6.60333i 0.520797 0.215721i −0.106770 0.994284i \(-0.534051\pi\)
0.627567 + 0.778562i \(0.284051\pi\)
\(938\) 1.14762 + 0.191556i 0.0374710 + 0.00625454i
\(939\) 34.6636 + 7.09300i 1.13120 + 0.231471i
\(940\) 0.882651 + 1.15875i 0.0287889 + 0.0377943i
\(941\) −23.2978 7.90853i −0.759486 0.257811i −0.0852827 0.996357i \(-0.527179\pi\)
−0.674203 + 0.738546i \(0.735513\pi\)
\(942\) 25.3574 34.8494i 0.826189 1.13545i
\(943\) −13.2093 3.53942i −0.430154 0.115259i
\(944\) −18.8620 + 27.8015i −0.613907 + 0.904862i
\(945\) 0.303924 + 0.00500429i 0.00988664 + 0.000162790i
\(946\) 26.3105 + 2.63832i 0.855428 + 0.0857791i
\(947\) 18.9922 + 21.6565i 0.617164 + 0.703740i 0.972999 0.230808i \(-0.0741370\pi\)
−0.355836 + 0.934549i \(0.615804\pi\)
\(948\) 26.4984 + 15.6193i 0.860629 + 0.507293i
\(949\) −34.0491 + 2.23169i −1.10528 + 0.0724439i
\(950\) 35.3844 + 16.1079i 1.14802 + 0.522610i
\(951\) 9.51359 22.6160i 0.308499 0.733373i
\(952\) −0.101950 0.447969i −0.00330423 0.0145187i
\(953\) 11.6953 28.2349i 0.378847 0.914617i −0.613336 0.789822i \(-0.710173\pi\)
0.992183 0.124795i \(-0.0398272\pi\)
\(954\) −22.9783 + 20.9783i −0.743951 + 0.679198i
\(955\) 2.43440 + 0.484233i 0.0787754 + 0.0156694i
\(956\) −29.7938 + 9.99633i −0.963601 + 0.323305i
\(957\) −37.5909 + 32.6031i −1.21514 + 1.05391i
\(958\) −50.7733 11.9333i −1.64041 0.385548i
\(959\) 0.527409 0.913499i 0.0170309 0.0294984i
\(960\) 3.93531 + 4.63576i 0.127011 + 0.149619i
\(961\) 14.3018 + 24.7714i 0.461347 + 0.799077i
\(962\) −6.90070 22.8941i −0.222487 0.738137i
\(963\) −51.4739 3.94162i −1.65872 0.127017i
\(964\) −34.2730 6.94336i −1.10386 0.223631i
\(965\) −2.17300 6.40144i −0.0699512 0.206070i
\(966\) −1.05883 + 0.556115i −0.0340672 + 0.0178927i
\(967\) −34.8422 45.4073i −1.12045 1.46020i −0.870651 0.491902i \(-0.836302\pi\)
−0.249800 0.968298i \(-0.580365\pi\)
\(968\) 56.1318 + 2.13556i 1.80415 + 0.0686396i
\(969\) −7.29468 9.61542i −0.234339 0.308892i
\(970\) −6.48495 + 4.62973i −0.208219 + 0.148652i
\(971\) 5.70608 + 8.53976i 0.183117 + 0.274054i 0.911659 0.410947i \(-0.134802\pi\)
−0.728542 + 0.685001i \(0.759802\pi\)
\(972\) −31.1620 0.965551i −0.999520 0.0309701i
\(973\) −2.08384 + 0.414501i −0.0668048 + 0.0132883i
\(974\) 15.4474 + 34.2539i 0.494965 + 1.09757i
\(975\) 32.0989 + 18.7679i 1.02799 + 0.601055i
\(976\) 3.31872 + 56.7820i 0.106230 + 1.81755i
\(977\) 4.90161 + 18.2931i 0.156816 + 0.585247i 0.998943 + 0.0459669i \(0.0146369\pi\)
−0.842127 + 0.539280i \(0.818696\pi\)
\(978\) −42.5200 4.49957i −1.35964 0.143880i
\(979\) −11.5090 + 10.0931i −0.367828 + 0.322577i
\(980\) 5.65347 + 2.36519i 0.180594 + 0.0755533i
\(981\) 4.68366 9.24044i 0.149538 0.295025i
\(982\) −5.77972 + 7.01728i −0.184438 + 0.223931i
\(983\) −25.0487 19.2206i −0.798930 0.613041i 0.126497 0.991967i \(-0.459627\pi\)
−0.925427 + 0.378926i \(0.876293\pi\)
\(984\) 7.36829 + 16.7403i 0.234892 + 0.533663i
\(985\) 4.95040 3.79857i 0.157733 0.121033i
\(986\) 8.90673 + 0.307336i 0.283648 + 0.00978757i
\(987\) 0.342720 + 0.171356i 0.0109089 + 0.00545431i
\(988\) 3.52039 50.9506i 0.111999 1.62095i
\(989\) −6.84937 + 10.2508i −0.217797 + 0.325957i
\(990\) 8.85223 5.34946i 0.281342 0.170017i
\(991\) 46.5036i 1.47724i −0.674124 0.738618i \(-0.735479\pi\)
0.674124 0.738618i \(-0.264521\pi\)
\(992\) −17.6718 39.9377i −0.561081 1.26802i
\(993\) 5.23165 5.17454i 0.166022 0.164209i
\(994\) 1.67828 1.03952i 0.0532319 0.0329714i
\(995\) −1.32513 2.68709i −0.0420094 0.0851865i
\(996\) 2.77829 + 5.76436i 0.0880336 + 0.182651i
\(997\) 6.26029 2.12508i 0.198265 0.0673020i −0.220540 0.975378i \(-0.570782\pi\)
0.418806 + 0.908076i \(0.362449\pi\)
\(998\) 30.6142 16.2941i 0.969075 0.515781i
\(999\) 18.2983 7.22880i 0.578932 0.228709i
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 576.2.bm.a.517.71 yes 1504
9.7 even 3 inner 576.2.bm.a.133.55 yes 1504
64.13 even 16 inner 576.2.bm.a.13.55 1504
576.205 even 48 inner 576.2.bm.a.205.71 yes 1504
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
576.2.bm.a.13.55 1504 64.13 even 16 inner
576.2.bm.a.133.55 yes 1504 9.7 even 3 inner
576.2.bm.a.205.71 yes 1504 576.205 even 48 inner
576.2.bm.a.517.71 yes 1504 1.1 even 1 trivial