Properties

Label 276.2.m.a.103.13
Level $276$
Weight $2$
Character 276.103
Analytic conductor $2.204$
Analytic rank $0$
Dimension $240$
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] = [276,2,Mod(7,276)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(276, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 0, 19]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("276.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 276.m (of order \(22\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.20387109579\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 103.13
Character \(\chi\) \(=\) 276.103
Dual form 276.2.m.a.67.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.212362 - 1.39818i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-1.90980 - 0.593839i) q^{4} +(-0.480071 - 1.63497i) q^{5} +(0.409182 - 1.35372i) q^{6} +(-2.02475 - 2.33669i) q^{7} +(-1.23586 + 2.54414i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})\) \(q+(0.212362 - 1.39818i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-1.90980 - 0.593839i) q^{4} +(-0.480071 - 1.63497i) q^{5} +(0.409182 - 1.35372i) q^{6} +(-2.02475 - 2.33669i) q^{7} +(-1.23586 + 2.54414i) q^{8} +(0.959493 + 0.281733i) q^{9} +(-2.38793 + 0.324019i) q^{10} +(-1.24970 - 0.803133i) q^{11} +(-1.80585 - 0.859588i) q^{12} +(3.23036 - 3.72803i) q^{13} +(-3.69709 + 2.33474i) q^{14} +(-0.242504 - 1.68665i) q^{15} +(3.29471 + 2.26823i) q^{16} +(-3.39542 + 1.55064i) q^{17} +(0.597672 - 1.28171i) q^{18} +(-0.270449 + 0.592201i) q^{19} +(-0.0540684 + 3.40756i) q^{20} +(-1.67160 - 2.60106i) q^{21} +(-1.38831 + 1.57675i) q^{22} +(4.75957 + 0.588651i) q^{23} +(-1.58535 + 2.34236i) q^{24} +(1.76360 - 1.13340i) q^{25} +(-4.52645 - 5.30831i) q^{26} +(0.909632 + 0.415415i) q^{27} +(2.47927 + 5.66500i) q^{28} +(-1.83575 - 4.01973i) q^{29} +(-2.40974 - 0.0191167i) q^{30} +(9.89874 - 1.42322i) q^{31} +(3.87107 - 4.12491i) q^{32} +(-1.12268 - 0.972809i) q^{33} +(1.44701 + 5.07670i) q^{34} +(-2.84840 + 4.43219i) q^{35} +(-1.66514 - 1.10784i) q^{36} +(-2.43285 + 8.28551i) q^{37} +(0.770570 + 0.503897i) q^{38} +(3.72803 - 3.23036i) q^{39} +(4.75290 + 0.799233i) q^{40} +(-6.79478 + 1.99513i) q^{41} +(-3.99173 + 1.78483i) q^{42} +(-0.301928 + 2.09996i) q^{43} +(1.90975 + 2.27595i) q^{44} -1.70400i q^{45} +(1.83379 - 6.52972i) q^{46} +8.82269i q^{47} +(2.93837 + 2.71403i) q^{48} +(-0.364290 + 2.53369i) q^{49} +(-1.21017 - 2.70652i) q^{50} +(-3.58154 + 1.05163i) q^{51} +(-8.38321 + 5.20150i) q^{52} +(5.83918 - 5.05968i) q^{53} +(0.773995 - 1.18361i) q^{54} +(-0.713155 + 2.42878i) q^{55} +(8.44718 - 2.26343i) q^{56} +(-0.351975 + 0.547684i) q^{57} +(-6.01014 + 1.71307i) q^{58} +(5.34692 + 4.63313i) q^{59} +(-0.538465 + 3.36518i) q^{60} +(10.1046 - 1.45283i) q^{61} +(0.112193 - 14.1424i) q^{62} +(-1.28442 - 2.81248i) q^{63} +(-4.94529 - 6.28841i) q^{64} +(-7.64603 - 3.49182i) q^{65} +(-1.59858 + 1.36312i) q^{66} +(8.45125 - 5.43129i) q^{67} +(7.40542 - 0.945079i) q^{68} +(4.62735 + 1.26002i) q^{69} +(5.59210 + 4.92379i) q^{70} +(-3.55463 - 5.53112i) q^{71} +(-1.90257 + 2.09290i) q^{72} +(2.19938 - 4.81597i) q^{73} +(11.0680 + 5.16108i) q^{74} +(1.90695 - 0.870876i) q^{75} +(0.868178 - 0.970385i) q^{76} +(0.653660 + 4.54631i) q^{77} +(-3.72493 - 5.89846i) q^{78} +(-1.11599 + 1.28792i) q^{79} +(2.12680 - 6.47567i) q^{80} +(0.841254 + 0.540641i) q^{81} +(1.34659 + 9.92400i) q^{82} +(-3.94535 - 1.15846i) q^{83} +(1.64782 + 5.96018i) q^{84} +(4.16529 + 4.80700i) q^{85} +(2.87200 + 0.868101i) q^{86} +(-1.24500 - 4.24007i) q^{87} +(3.58774 - 2.18685i) q^{88} +(-11.2507 - 1.61761i) q^{89} +(-2.38249 - 0.361863i) q^{90} -15.2519 q^{91} +(-8.74028 - 3.95063i) q^{92} +10.0005 q^{93} +(12.3357 + 1.87360i) q^{94} +(1.09807 + 0.157878i) q^{95} +(4.41870 - 3.53201i) q^{96} +(3.21046 + 10.9338i) q^{97} +(3.46519 + 1.04740i) q^{98} +(-0.972809 - 1.12268i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(139\) \(185\)
\(\chi(n)\) \(e\left(\frac{9}{22}\right)\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.212362 1.39818i 0.150162 0.988661i
\(3\) 0.989821 + 0.142315i 0.571474 + 0.0821655i
\(4\) −1.90980 0.593839i −0.954902 0.296920i
\(5\) −0.480071 1.63497i −0.214694 0.731181i −0.994461 0.105111i \(-0.966480\pi\)
0.779766 0.626071i \(-0.215338\pi\)
\(6\) 0.409182 1.35372i 0.167048 0.552656i
\(7\) −2.02475 2.33669i −0.765285 0.883186i 0.230671 0.973032i \(-0.425908\pi\)
−0.995956 + 0.0898460i \(0.971363\pi\)
\(8\) −1.23586 + 2.54414i −0.436943 + 0.899489i
\(9\) 0.959493 + 0.281733i 0.319831 + 0.0939109i
\(10\) −2.38793 + 0.324019i −0.755130 + 0.102464i
\(11\) −1.24970 0.803133i −0.376799 0.242154i 0.338510 0.940963i \(-0.390077\pi\)
−0.715308 + 0.698809i \(0.753714\pi\)
\(12\) −1.80585 0.859588i −0.521305 0.248142i
\(13\) 3.23036 3.72803i 0.895940 1.03397i −0.103286 0.994652i \(-0.532936\pi\)
0.999227 0.0393187i \(-0.0125187\pi\)
\(14\) −3.69709 + 2.33474i −0.988089 + 0.623986i
\(15\) −0.242504 1.68665i −0.0626142 0.435491i
\(16\) 3.29471 + 2.26823i 0.823677 + 0.567059i
\(17\) −3.39542 + 1.55064i −0.823510 + 0.376085i −0.782173 0.623061i \(-0.785889\pi\)
−0.0413368 + 0.999145i \(0.513162\pi\)
\(18\) 0.597672 1.28171i 0.140873 0.302103i
\(19\) −0.270449 + 0.592201i −0.0620453 + 0.135860i −0.938115 0.346325i \(-0.887429\pi\)
0.876069 + 0.482185i \(0.160157\pi\)
\(20\) −0.0540684 + 3.40756i −0.0120901 + 0.761954i
\(21\) −1.67160 2.60106i −0.364773 0.567598i
\(22\) −1.38831 + 1.57675i −0.295989 + 0.336164i
\(23\) 4.75957 + 0.588651i 0.992439 + 0.122742i
\(24\) −1.58535 + 2.34236i −0.323609 + 0.478133i
\(25\) 1.76360 1.13340i 0.352721 0.226680i
\(26\) −4.52645 5.30831i −0.887710 1.04105i
\(27\) 0.909632 + 0.415415i 0.175059 + 0.0799467i
\(28\) 2.47927 + 5.66500i 0.468537 + 1.07058i
\(29\) −1.83575 4.01973i −0.340890 0.746445i 0.659094 0.752060i \(-0.270940\pi\)
−0.999984 + 0.00561551i \(0.998213\pi\)
\(30\) −2.40974 0.0191167i −0.439956 0.00349021i
\(31\) 9.89874 1.42322i 1.77787 0.255619i 0.826337 0.563176i \(-0.190421\pi\)
0.951530 + 0.307557i \(0.0995115\pi\)
\(32\) 3.87107 4.12491i 0.684314 0.729187i
\(33\) −1.12268 0.972809i −0.195434 0.169344i
\(34\) 1.44701 + 5.07670i 0.248160 + 0.870646i
\(35\) −2.84840 + 4.43219i −0.481467 + 0.749177i
\(36\) −1.66514 1.10784i −0.277523 0.184640i
\(37\) −2.43285 + 8.28551i −0.399957 + 1.36213i 0.475875 + 0.879513i \(0.342132\pi\)
−0.875832 + 0.482616i \(0.839687\pi\)
\(38\) 0.770570 + 0.503897i 0.125003 + 0.0817429i
\(39\) 3.72803 3.23036i 0.596963 0.517271i
\(40\) 4.75290 + 0.799233i 0.751499 + 0.126370i
\(41\) −6.79478 + 1.99513i −1.06117 + 0.311587i −0.765321 0.643649i \(-0.777420\pi\)
−0.295846 + 0.955236i \(0.595601\pi\)
\(42\) −3.99173 + 1.78483i −0.615937 + 0.275405i
\(43\) −0.301928 + 2.09996i −0.0460437 + 0.320241i 0.953763 + 0.300561i \(0.0971738\pi\)
−0.999806 + 0.0196799i \(0.993735\pi\)
\(44\) 1.90975 + 2.27595i 0.287906 + 0.343112i
\(45\) 1.70400i 0.254017i
\(46\) 1.83379 6.52972i 0.270378 0.962754i
\(47\) 8.82269i 1.28692i 0.765479 + 0.643461i \(0.222502\pi\)
−0.765479 + 0.643461i \(0.777498\pi\)
\(48\) 2.93837 + 2.71403i 0.424117 + 0.391737i
\(49\) −0.364290 + 2.53369i −0.0520415 + 0.361956i
\(50\) −1.21017 2.70652i −0.171144 0.382760i
\(51\) −3.58154 + 1.05163i −0.501516 + 0.147258i
\(52\) −8.38321 + 5.20150i −1.16254 + 0.721319i
\(53\) 5.83918 5.05968i 0.802074 0.695001i −0.154018 0.988068i \(-0.549221\pi\)
0.956092 + 0.293067i \(0.0946760\pi\)
\(54\) 0.773995 1.18361i 0.105327 0.161069i
\(55\) −0.713155 + 2.42878i −0.0961618 + 0.327497i
\(56\) 8.44718 2.26343i 1.12880 0.302463i
\(57\) −0.351975 + 0.547684i −0.0466203 + 0.0725426i
\(58\) −6.01014 + 1.71307i −0.789170 + 0.224937i
\(59\) 5.34692 + 4.63313i 0.696110 + 0.603183i 0.929334 0.369240i \(-0.120382\pi\)
−0.233224 + 0.972423i \(0.574928\pi\)
\(60\) −0.538465 + 3.36518i −0.0695155 + 0.434443i
\(61\) 10.1046 1.45283i 1.29377 0.186015i 0.539165 0.842200i \(-0.318740\pi\)
0.754601 + 0.656184i \(0.227831\pi\)
\(62\) 0.112193 14.1424i 0.0142486 1.79609i
\(63\) −1.28442 2.81248i −0.161821 0.354339i
\(64\) −4.94529 6.28841i −0.618161 0.786052i
\(65\) −7.64603 3.49182i −0.948373 0.433107i
\(66\) −1.59858 + 1.36312i −0.196771 + 0.167789i
\(67\) 8.45125 5.43129i 1.03248 0.663537i 0.0893671 0.995999i \(-0.471516\pi\)
0.943117 + 0.332462i \(0.107879\pi\)
\(68\) 7.40542 0.945079i 0.898039 0.114608i
\(69\) 4.62735 + 1.26002i 0.557067 + 0.151688i
\(70\) 5.59210 + 4.92379i 0.668384 + 0.588506i
\(71\) −3.55463 5.53112i −0.421857 0.656423i 0.563658 0.826008i \(-0.309393\pi\)
−0.985515 + 0.169585i \(0.945757\pi\)
\(72\) −1.90257 + 2.09290i −0.224220 + 0.246651i
\(73\) 2.19938 4.81597i 0.257418 0.563667i −0.736161 0.676807i \(-0.763363\pi\)
0.993579 + 0.113139i \(0.0360906\pi\)
\(74\) 11.0680 + 5.16108i 1.28663 + 0.599963i
\(75\) 1.90695 0.870876i 0.220196 0.100560i
\(76\) 0.868178 0.970385i 0.0995868 0.111311i
\(77\) 0.653660 + 4.54631i 0.0744915 + 0.518100i
\(78\) −3.72493 5.89846i −0.421765 0.667869i
\(79\) −1.11599 + 1.28792i −0.125559 + 0.144903i −0.815048 0.579393i \(-0.803290\pi\)
0.689489 + 0.724296i \(0.257835\pi\)
\(80\) 2.12680 6.47567i 0.237784 0.724002i
\(81\) 0.841254 + 0.540641i 0.0934726 + 0.0600712i
\(82\) 1.34659 + 9.92400i 0.148706 + 1.09592i
\(83\) −3.94535 1.15846i −0.433058 0.127157i 0.0579358 0.998320i \(-0.481548\pi\)
−0.490994 + 0.871163i \(0.663366\pi\)
\(84\) 1.64782 + 5.96018i 0.179792 + 0.650308i
\(85\) 4.16529 + 4.80700i 0.451789 + 0.521392i
\(86\) 2.87200 + 0.868101i 0.309696 + 0.0936097i
\(87\) −1.24500 4.24007i −0.133478 0.454583i
\(88\) 3.58774 2.18685i 0.382454 0.233119i
\(89\) −11.2507 1.61761i −1.19257 0.171466i −0.482694 0.875789i \(-0.660342\pi\)
−0.709880 + 0.704323i \(0.751251\pi\)
\(90\) −2.38249 0.361863i −0.251136 0.0381438i
\(91\) −15.2519 −1.59884
\(92\) −8.74028 3.95063i −0.911237 0.411881i
\(93\) 10.0005 1.03701
\(94\) 12.3357 + 1.87360i 1.27233 + 0.193247i
\(95\) 1.09807 + 0.157878i 0.112659 + 0.0161980i
\(96\) 4.41870 3.53201i 0.450982 0.360484i
\(97\) 3.21046 + 10.9338i 0.325973 + 1.11016i 0.945618 + 0.325279i \(0.105458\pi\)
−0.619645 + 0.784882i \(0.712723\pi\)
\(98\) 3.46519 + 1.04740i 0.350038 + 0.105804i
\(99\) −0.972809 1.12268i −0.0977710 0.112834i
\(100\) −4.04120 + 1.11727i −0.404120 + 0.111727i
\(101\) 2.90471 + 0.852899i 0.289029 + 0.0848667i 0.423033 0.906114i \(-0.360965\pi\)
−0.134004 + 0.990981i \(0.542784\pi\)
\(102\) 0.709791 + 5.23095i 0.0702797 + 0.517942i
\(103\) −6.52703 4.19467i −0.643127 0.413313i 0.178022 0.984027i \(-0.443030\pi\)
−0.821149 + 0.570714i \(0.806667\pi\)
\(104\) 5.49235 + 12.8258i 0.538570 + 1.25768i
\(105\) −3.45017 + 3.98171i −0.336702 + 0.388575i
\(106\) −5.83432 9.23870i −0.566679 0.897342i
\(107\) −0.183412 1.27566i −0.0177311 0.123323i 0.979033 0.203700i \(-0.0652967\pi\)
−0.996765 + 0.0803770i \(0.974388\pi\)
\(108\) −1.49053 1.33354i −0.143426 0.128320i
\(109\) −7.53277 + 3.44010i −0.721508 + 0.329502i −0.742103 0.670286i \(-0.766171\pi\)
0.0205946 + 0.999788i \(0.493444\pi\)
\(110\) 3.24443 + 1.51290i 0.309344 + 0.144249i
\(111\) −3.58723 + 7.85495i −0.340485 + 0.745558i
\(112\) −1.37081 12.2913i −0.129530 1.16142i
\(113\) 5.95616 + 9.26796i 0.560308 + 0.871856i 0.999650 0.0264636i \(-0.00842462\pi\)
−0.439342 + 0.898320i \(0.644788\pi\)
\(114\) 0.691014 + 0.608432i 0.0647194 + 0.0569848i
\(115\) −1.32250 8.06435i −0.123324 0.752005i
\(116\) 1.11885 + 8.76704i 0.103882 + 0.813999i
\(117\) 4.14982 2.66692i 0.383651 0.246557i
\(118\) 7.61343 6.49205i 0.700873 0.597641i
\(119\) 10.4982 + 4.79439i 0.962372 + 0.439501i
\(120\) 4.59078 + 1.46751i 0.419079 + 0.133964i
\(121\) −3.65284 7.99860i −0.332076 0.727146i
\(122\) 0.114527 14.4366i 0.0103688 1.30703i
\(123\) −7.00956 + 1.00782i −0.632030 + 0.0908723i
\(124\) −19.7498 3.16018i −1.77359 0.283793i
\(125\) −9.13870 7.91873i −0.817390 0.708273i
\(126\) −4.20510 + 1.19858i −0.374621 + 0.106778i
\(127\) −5.92271 + 9.21592i −0.525556 + 0.817781i −0.997976 0.0635928i \(-0.979744\pi\)
0.472420 + 0.881373i \(0.343380\pi\)
\(128\) −9.84251 + 5.57897i −0.869963 + 0.493116i
\(129\) −0.597711 + 2.03562i −0.0526255 + 0.179226i
\(130\) −6.50592 + 9.94898i −0.570607 + 0.872583i
\(131\) −1.43251 + 1.24127i −0.125159 + 0.108451i −0.715191 0.698929i \(-0.753660\pi\)
0.590033 + 0.807379i \(0.299115\pi\)
\(132\) 1.56641 + 2.52457i 0.136339 + 0.219735i
\(133\) 1.93138 0.567105i 0.167472 0.0491743i
\(134\) −5.79918 12.9697i −0.500973 1.12042i
\(135\) 0.242504 1.68665i 0.0208714 0.145164i
\(136\) 0.251239 10.5548i 0.0215435 0.905066i
\(137\) 11.2428i 0.960536i 0.877122 + 0.480268i \(0.159461\pi\)
−0.877122 + 0.480268i \(0.840539\pi\)
\(138\) 2.74440 6.20228i 0.233619 0.527973i
\(139\) 1.87766i 0.159261i 0.996824 + 0.0796307i \(0.0253741\pi\)
−0.996824 + 0.0796307i \(0.974626\pi\)
\(140\) 8.07189 6.77313i 0.682199 0.572434i
\(141\) −1.25560 + 8.73289i −0.105741 + 0.735442i
\(142\) −8.48835 + 3.79541i −0.712327 + 0.318504i
\(143\) −7.03108 + 2.06451i −0.587969 + 0.172643i
\(144\) 2.52222 + 3.10458i 0.210185 + 0.258715i
\(145\) −5.69085 + 4.93115i −0.472599 + 0.409510i
\(146\) −6.26653 4.09786i −0.518621 0.339141i
\(147\) −0.721165 + 2.45606i −0.0594807 + 0.202572i
\(148\) 9.56652 14.3790i 0.786363 1.18195i
\(149\) −4.63091 + 7.20583i −0.379379 + 0.590325i −0.977463 0.211109i \(-0.932293\pi\)
0.598084 + 0.801434i \(0.295929\pi\)
\(150\) −0.812676 2.85120i −0.0663547 0.232800i
\(151\) −12.4373 10.7770i −1.01213 0.877018i −0.0197001 0.999806i \(-0.506271\pi\)
−0.992433 + 0.122788i \(0.960817\pi\)
\(152\) −1.17240 1.41994i −0.0950945 0.115172i
\(153\) −3.69475 + 0.531224i −0.298702 + 0.0429469i
\(154\) 6.49536 + 0.0515283i 0.523411 + 0.00415227i
\(155\) −7.07903 15.5009i −0.568601 1.24506i
\(156\) −9.03813 + 3.95550i −0.723630 + 0.316694i
\(157\) −16.1122 7.35820i −1.28590 0.587249i −0.349086 0.937091i \(-0.613508\pi\)
−0.936809 + 0.349842i \(0.886235\pi\)
\(158\) 1.56375 + 1.83386i 0.124405 + 0.145894i
\(159\) 6.49982 4.17718i 0.515469 0.331272i
\(160\) −8.60249 4.34884i −0.680086 0.343806i
\(161\) −8.26146 12.3135i −0.651094 0.970441i
\(162\) 0.934562 1.06141i 0.0734262 0.0833923i
\(163\) 4.89799 + 7.62141i 0.383640 + 0.596955i 0.978343 0.206990i \(-0.0663668\pi\)
−0.594703 + 0.803945i \(0.702730\pi\)
\(164\) 14.1615 + 0.224703i 1.10583 + 0.0175464i
\(165\) −1.05155 + 2.30257i −0.0818629 + 0.179255i
\(166\) −2.45757 + 5.27029i −0.190745 + 0.409054i
\(167\) −20.7568 + 9.47932i −1.60621 + 0.733532i −0.998176 0.0603775i \(-0.980770\pi\)
−0.608036 + 0.793910i \(0.708042\pi\)
\(168\) 8.68332 1.03823i 0.669933 0.0801011i
\(169\) −1.61292 11.2181i −0.124071 0.862930i
\(170\) 7.60559 4.80299i 0.583322 0.368373i
\(171\) −0.426336 + 0.492018i −0.0326028 + 0.0376256i
\(172\) 1.82366 3.83121i 0.139053 0.292127i
\(173\) 17.6653 + 11.3528i 1.34307 + 0.863139i 0.997173 0.0751334i \(-0.0239383\pi\)
0.345897 + 0.938272i \(0.387575\pi\)
\(174\) −6.19276 + 0.840298i −0.469472 + 0.0637028i
\(175\) −6.21927 1.82614i −0.470133 0.138043i
\(176\) −2.29570 5.48070i −0.173045 0.413123i
\(177\) 4.63313 + 5.34692i 0.348248 + 0.401899i
\(178\) −4.65093 + 15.3870i −0.348602 + 1.15330i
\(179\) −1.23057 4.19095i −0.0919773 0.313246i 0.900635 0.434577i \(-0.143102\pi\)
−0.992612 + 0.121331i \(0.961284\pi\)
\(180\) −1.01190 + 3.25430i −0.0754225 + 0.242561i
\(181\) 20.3437 + 2.92498i 1.51213 + 0.217412i 0.847918 0.530128i \(-0.177856\pi\)
0.664217 + 0.747540i \(0.268765\pi\)
\(182\) −3.23893 + 21.3249i −0.240085 + 1.58071i
\(183\) 10.2085 0.754637
\(184\) −7.37978 + 11.3815i −0.544045 + 0.839056i
\(185\) 14.7145 1.08183
\(186\) 2.12373 13.9825i 0.155720 1.02525i
\(187\) 5.48862 + 0.789145i 0.401368 + 0.0577080i
\(188\) 5.23926 16.8496i 0.382112 1.22888i
\(189\) −0.871084 2.96664i −0.0633621 0.215791i
\(190\) 0.453929 1.50177i 0.0329315 0.108950i
\(191\) 8.75268 + 10.1011i 0.633322 + 0.730892i 0.978179 0.207763i \(-0.0666182\pi\)
−0.344857 + 0.938655i \(0.612073\pi\)
\(192\) −4.00002 6.92819i −0.288676 0.499999i
\(193\) −4.07433 1.19633i −0.293276 0.0861137i 0.131785 0.991278i \(-0.457929\pi\)
−0.425061 + 0.905165i \(0.639747\pi\)
\(194\) 15.9692 2.16687i 1.14652 0.155572i
\(195\) −7.07126 4.54443i −0.506384 0.325433i
\(196\) 2.20033 4.62253i 0.157166 0.330181i
\(197\) 12.8604 14.8417i 0.916268 1.05743i −0.0818832 0.996642i \(-0.526093\pi\)
0.998151 0.0607871i \(-0.0193611\pi\)
\(198\) −1.77630 + 1.12175i −0.126236 + 0.0797190i
\(199\) −1.67186 11.6280i −0.118515 0.824289i −0.959193 0.282753i \(-0.908752\pi\)
0.840678 0.541535i \(-0.182157\pi\)
\(200\) 0.703953 + 5.88758i 0.0497770 + 0.416315i
\(201\) 9.13818 4.17327i 0.644557 0.294359i
\(202\) 1.80935 3.88018i 0.127306 0.273008i
\(203\) −5.67592 + 12.4285i −0.398372 + 0.872312i
\(204\) 7.46454 + 0.118441i 0.522622 + 0.00829255i
\(205\) 6.52395 + 10.1515i 0.455653 + 0.709009i
\(206\) −7.25098 + 8.23516i −0.505200 + 0.573771i
\(207\) 4.40093 + 1.90573i 0.305886 + 0.132458i
\(208\) 19.0991 4.95558i 1.32429 0.343607i
\(209\) 0.813597 0.522867i 0.0562777 0.0361674i
\(210\) 4.83445 + 5.66952i 0.333609 + 0.391234i
\(211\) 24.7264 + 11.2922i 1.70223 + 0.777385i 0.997705 + 0.0677100i \(0.0215693\pi\)
0.704530 + 0.709675i \(0.251158\pi\)
\(212\) −14.1563 + 6.19547i −0.972261 + 0.425506i
\(213\) −2.73129 5.98069i −0.187145 0.409790i
\(214\) −1.82255 0.0144585i −0.124587 0.000988361i
\(215\) 3.57832 0.514485i 0.244039 0.0350876i
\(216\) −2.18105 + 1.80083i −0.148402 + 0.122531i
\(217\) −23.3682 20.2486i −1.58633 1.37457i
\(218\) 3.21020 + 11.2627i 0.217422 + 0.762806i
\(219\) 2.86238 4.45395i 0.193422 0.300970i
\(220\) 2.80429 4.21500i 0.189065 0.284175i
\(221\) −5.18760 + 17.6673i −0.348956 + 1.18843i
\(222\) 10.2208 + 6.68368i 0.685977 + 0.448579i
\(223\) −1.63665 + 1.41817i −0.109598 + 0.0949675i −0.707936 0.706276i \(-0.750374\pi\)
0.598338 + 0.801244i \(0.295828\pi\)
\(224\) −17.4766 0.693566i −1.16770 0.0463409i
\(225\) 2.01148 0.590624i 0.134099 0.0393750i
\(226\) 14.2231 6.35961i 0.946108 0.423035i
\(227\) 0.700053 4.86897i 0.0464641 0.323165i −0.953312 0.301988i \(-0.902350\pi\)
0.999776 0.0211768i \(-0.00674129\pi\)
\(228\) 0.997441 0.836954i 0.0660571 0.0554286i
\(229\) 29.2117i 1.93036i −0.261581 0.965181i \(-0.584244\pi\)
0.261581 0.965181i \(-0.415756\pi\)
\(230\) −11.5563 + 0.136533i −0.761997 + 0.00900275i
\(231\) 4.59306i 0.302201i
\(232\) 12.4955 + 0.297433i 0.820368 + 0.0195275i
\(233\) −1.86651 + 12.9818i −0.122279 + 0.850468i 0.832685 + 0.553747i \(0.186802\pi\)
−0.954964 + 0.296722i \(0.904107\pi\)
\(234\) −2.84757 6.36853i −0.186152 0.416324i
\(235\) 14.4248 4.23552i 0.940973 0.276295i
\(236\) −7.46024 12.0236i −0.485620 0.782669i
\(237\) −1.28792 + 1.11599i −0.0836595 + 0.0724914i
\(238\) 8.93283 13.6603i 0.579030 0.885464i
\(239\) 4.03773 13.7512i 0.261179 0.889493i −0.719603 0.694386i \(-0.755676\pi\)
0.980782 0.195108i \(-0.0625056\pi\)
\(240\) 3.02674 6.10708i 0.195375 0.394210i
\(241\) −10.6068 + 16.5044i −0.683241 + 1.06314i 0.310406 + 0.950604i \(0.399535\pi\)
−0.993647 + 0.112540i \(0.964101\pi\)
\(242\) −11.9592 + 3.40872i −0.768766 + 0.219121i
\(243\) 0.755750 + 0.654861i 0.0484814 + 0.0420093i
\(244\) −20.1606 3.22591i −1.29065 0.206518i
\(245\) 4.31740 0.620749i 0.275829 0.0396582i
\(246\) −0.0794471 + 10.0146i −0.00506536 + 0.638510i
\(247\) 1.33410 + 2.92127i 0.0848866 + 0.185876i
\(248\) −8.61261 + 26.9427i −0.546901 + 1.71086i
\(249\) −3.74032 1.70815i −0.237033 0.108250i
\(250\) −13.0125 + 11.0959i −0.822983 + 0.701766i
\(251\) 7.45988 4.79417i 0.470863 0.302606i −0.283606 0.958941i \(-0.591531\pi\)
0.754469 + 0.656335i \(0.227894\pi\)
\(252\) 0.782823 + 6.13402i 0.0493132 + 0.386407i
\(253\) −5.47526 4.55820i −0.344227 0.286572i
\(254\) 11.6277 + 10.2381i 0.729589 + 0.642397i
\(255\) 3.43878 + 5.35085i 0.215345 + 0.335083i
\(256\) 5.71023 + 14.9463i 0.356889 + 0.934147i
\(257\) −4.95836 + 10.8573i −0.309294 + 0.677259i −0.998898 0.0469271i \(-0.985057\pi\)
0.689604 + 0.724186i \(0.257784\pi\)
\(258\) 2.71922 + 1.26799i 0.169291 + 0.0789418i
\(259\) 24.2866 11.0913i 1.50909 0.689181i
\(260\) 12.5288 + 11.2092i 0.777006 + 0.695166i
\(261\) −0.628899 4.37409i −0.0389279 0.270749i
\(262\) 1.43131 + 2.26650i 0.0884267 + 0.140025i
\(263\) −4.59135 + 5.29870i −0.283115 + 0.326732i −0.879439 0.476012i \(-0.842082\pi\)
0.596324 + 0.802744i \(0.296627\pi\)
\(264\) 3.86244 1.65400i 0.237717 0.101797i
\(265\) −11.0757 7.11789i −0.680372 0.437249i
\(266\) −0.382762 2.82085i −0.0234687 0.172957i
\(267\) −10.9060 3.20229i −0.667436 0.195977i
\(268\) −19.3655 + 5.35401i −1.18294 + 0.327048i
\(269\) 8.00216 + 9.23498i 0.487900 + 0.563067i 0.945303 0.326193i \(-0.105766\pi\)
−0.457403 + 0.889259i \(0.651220\pi\)
\(270\) −2.30674 0.697244i −0.140384 0.0424329i
\(271\) 3.35160 + 11.4145i 0.203595 + 0.693381i 0.996466 + 0.0839919i \(0.0267670\pi\)
−0.792871 + 0.609389i \(0.791415\pi\)
\(272\) −14.7041 2.59271i −0.891569 0.157206i
\(273\) −15.0967 2.17058i −0.913694 0.131369i
\(274\) 15.7194 + 2.38754i 0.949645 + 0.144237i
\(275\) −3.11425 −0.187796
\(276\) −8.08909 5.15429i −0.486906 0.310252i
\(277\) 12.9604 0.778715 0.389358 0.921087i \(-0.372697\pi\)
0.389358 + 0.921087i \(0.372697\pi\)
\(278\) 2.62531 + 0.398744i 0.157456 + 0.0239151i
\(279\) 9.89874 + 1.42322i 0.592622 + 0.0852062i
\(280\) −7.75588 12.7243i −0.463503 0.760422i
\(281\) −7.62549 25.9700i −0.454898 1.54924i −0.793655 0.608368i \(-0.791825\pi\)
0.338757 0.940874i \(-0.389994\pi\)
\(282\) 11.9435 + 3.61008i 0.711225 + 0.214977i
\(283\) 6.84174 + 7.89578i 0.406699 + 0.469356i 0.921739 0.387810i \(-0.126768\pi\)
−0.515040 + 0.857166i \(0.672223\pi\)
\(284\) 3.50406 + 12.6742i 0.207928 + 0.752077i
\(285\) 1.06442 + 0.312542i 0.0630509 + 0.0185134i
\(286\) 1.39342 + 10.2691i 0.0823948 + 0.607227i
\(287\) 18.4198 + 11.8377i 1.08728 + 0.698755i
\(288\) 4.87638 2.86721i 0.287344 0.168952i
\(289\) −2.00823 + 2.31762i −0.118131 + 0.136331i
\(290\) 5.68611 + 9.00401i 0.333900 + 0.528734i
\(291\) 1.62174 + 11.2794i 0.0950679 + 0.661212i
\(292\) −7.06031 + 7.89149i −0.413173 + 0.461815i
\(293\) 16.5084 7.53912i 0.964429 0.440440i 0.129975 0.991517i \(-0.458510\pi\)
0.834454 + 0.551077i \(0.185783\pi\)
\(294\) 3.28086 + 1.52989i 0.191344 + 0.0892250i
\(295\) 5.00814 10.9663i 0.291585 0.638482i
\(296\) −18.0728 16.4293i −1.05046 0.954931i
\(297\) −0.803133 1.24970i −0.0466025 0.0725149i
\(298\) 9.09161 + 8.00508i 0.526663 + 0.463722i
\(299\) 17.5696 15.8423i 1.01608 0.916182i
\(300\) −4.15907 + 0.530780i −0.240124 + 0.0306446i
\(301\) 5.51828 3.54639i 0.318069 0.204410i
\(302\) −17.7093 + 15.1009i −1.01906 + 0.868962i
\(303\) 2.75376 + 1.25760i 0.158200 + 0.0722473i
\(304\) −2.23430 + 1.33769i −0.128146 + 0.0767217i
\(305\) −7.22627 15.8233i −0.413775 0.906041i
\(306\) −0.0418766 + 5.27873i −0.00239393 + 0.301765i
\(307\) −18.9043 + 2.71803i −1.07893 + 0.155126i −0.658784 0.752332i \(-0.728929\pi\)
−0.420142 + 0.907458i \(0.638020\pi\)
\(308\) 1.45141 9.07073i 0.0827019 0.516853i
\(309\) −5.86363 5.08086i −0.333570 0.289040i
\(310\) −23.1764 + 6.60594i −1.31633 + 0.375192i
\(311\) 16.7835 26.1156i 0.951705 1.48088i 0.0765350 0.997067i \(-0.475614\pi\)
0.875170 0.483815i \(-0.160749\pi\)
\(312\) 3.61115 + 13.4769i 0.204441 + 0.762980i
\(313\) −6.40491 + 21.8131i −0.362027 + 1.23295i 0.554231 + 0.832363i \(0.313012\pi\)
−0.916258 + 0.400588i \(0.868806\pi\)
\(314\) −13.7097 + 20.9652i −0.773683 + 1.18313i
\(315\) −3.98171 + 3.45017i −0.224344 + 0.194395i
\(316\) 2.89614 1.79696i 0.162921 0.101087i
\(317\) 23.0959 6.78157i 1.29719 0.380891i 0.440983 0.897516i \(-0.354630\pi\)
0.856212 + 0.516625i \(0.172812\pi\)
\(318\) −4.46013 9.97498i −0.250112 0.559369i
\(319\) −0.934243 + 6.49780i −0.0523076 + 0.363807i
\(320\) −7.90729 + 11.1043i −0.442031 + 0.620748i
\(321\) 1.28878i 0.0719326i
\(322\) −18.9709 + 8.93607i −1.05721 + 0.497988i
\(323\) 2.43014i 0.135217i
\(324\) −1.28558 1.53209i −0.0714209 0.0851160i
\(325\) 1.47172 10.2361i 0.0816365 0.567795i
\(326\) 11.6962 5.22976i 0.647795 0.289650i
\(327\) −7.94567 + 2.33306i −0.439397 + 0.129018i
\(328\) 3.32153 19.7526i 0.183401 1.09065i
\(329\) 20.6159 17.8638i 1.13659 0.984862i
\(330\) 2.99609 + 1.95923i 0.164930 + 0.107852i
\(331\) −6.53620 + 22.2602i −0.359262 + 1.22353i 0.559536 + 0.828806i \(0.310979\pi\)
−0.918798 + 0.394728i \(0.870839\pi\)
\(332\) 6.84691 + 4.55533i 0.375773 + 0.250006i
\(333\) −4.66860 + 7.26448i −0.255837 + 0.398091i
\(334\) 8.84583 + 31.0348i 0.484022 + 1.69815i
\(335\) −12.9372 11.2101i −0.706834 0.612475i
\(336\) 0.392377 12.3613i 0.0214059 0.674365i
\(337\) 10.7753 1.54926i 0.586970 0.0843936i 0.157570 0.987508i \(-0.449634\pi\)
0.429400 + 0.903114i \(0.358725\pi\)
\(338\) −16.0274 0.127147i −0.871776 0.00691589i
\(339\) 4.57656 + 10.0213i 0.248565 + 0.544281i
\(340\) −5.10030 11.6539i −0.276603 0.632024i
\(341\) −13.5135 6.17141i −0.731797 0.334200i
\(342\) 0.597392 + 0.700580i 0.0323033 + 0.0378830i
\(343\) −11.5494 + 7.42232i −0.623606 + 0.400768i
\(344\) −4.96944 3.36341i −0.267934 0.181343i
\(345\) −0.161364 8.17048i −0.00868755 0.439884i
\(346\) 19.6247 22.2884i 1.05503 1.19823i
\(347\) 8.57382 + 13.3411i 0.460267 + 0.716189i 0.991367 0.131120i \(-0.0418573\pi\)
−0.531099 + 0.847309i \(0.678221\pi\)
\(348\) −0.140219 + 8.83703i −0.00751652 + 0.473714i
\(349\) −7.78875 + 17.0550i −0.416922 + 0.912932i 0.578348 + 0.815790i \(0.303697\pi\)
−0.995270 + 0.0971424i \(0.969030\pi\)
\(350\) −3.87401 + 8.30784i −0.207074 + 0.444073i
\(351\) 4.48712 2.04920i 0.239505 0.109378i
\(352\) −8.15052 + 2.04591i −0.434424 + 0.109047i
\(353\) 1.16892 + 8.13001i 0.0622153 + 0.432717i 0.996994 + 0.0774851i \(0.0246890\pi\)
−0.934778 + 0.355232i \(0.884402\pi\)
\(354\) 8.45985 5.34246i 0.449636 0.283949i
\(355\) −7.33674 + 8.46705i −0.389394 + 0.449384i
\(356\) 20.5261 + 9.77043i 1.08788 + 0.517832i
\(357\) 9.70907 + 6.23964i 0.513859 + 0.330237i
\(358\) −6.12102 + 0.830563i −0.323506 + 0.0438966i
\(359\) 27.0122 + 7.93150i 1.42565 + 0.418609i 0.901412 0.432963i \(-0.142532\pi\)
0.524238 + 0.851572i \(0.324350\pi\)
\(360\) 4.33520 + 2.10590i 0.228485 + 0.110991i
\(361\) 12.1648 + 14.0389i 0.640252 + 0.738891i
\(362\) 8.40987 27.8230i 0.442013 1.46234i
\(363\) −2.47734 8.43704i −0.130027 0.442830i
\(364\) 29.1282 + 9.05720i 1.52673 + 0.474726i
\(365\) −8.92984 1.28392i −0.467409 0.0672033i
\(366\) 2.16790 14.2734i 0.113318 0.746081i
\(367\) −27.7192 −1.44693 −0.723465 0.690361i \(-0.757452\pi\)
−0.723465 + 0.690361i \(0.757452\pi\)
\(368\) 14.3462 + 12.7353i 0.747847 + 0.663871i
\(369\) −7.08164 −0.368655
\(370\) 3.12480 20.5735i 0.162451 1.06957i
\(371\) −23.6458 3.39976i −1.22763 0.176506i
\(372\) −19.0991 5.93871i −0.990241 0.307908i
\(373\) 8.22378 + 28.0076i 0.425811 + 1.45018i 0.841293 + 0.540579i \(0.181795\pi\)
−0.415482 + 0.909601i \(0.636387\pi\)
\(374\) 2.26894 7.50649i 0.117324 0.388151i
\(375\) −7.91873 9.13870i −0.408921 0.471920i
\(376\) −22.4461 10.9036i −1.15757 0.562312i
\(377\) −20.9158 6.14143i −1.07722 0.316300i
\(378\) −4.33288 + 0.587930i −0.222859 + 0.0302399i
\(379\) 18.5587 + 11.9269i 0.953294 + 0.612645i 0.922135 0.386869i \(-0.126444\pi\)
0.0311599 + 0.999514i \(0.490080\pi\)
\(380\) −2.00334 0.953592i −0.102769 0.0489182i
\(381\) −7.17399 + 8.27923i −0.367535 + 0.424158i
\(382\) 15.9819 10.0927i 0.817706 0.516388i
\(383\) −4.48293 31.1794i −0.229067 1.59319i −0.702053 0.712125i \(-0.747733\pi\)
0.472986 0.881070i \(-0.343176\pi\)
\(384\) −10.5363 + 4.12145i −0.537678 + 0.210322i
\(385\) 7.11928 3.25127i 0.362832 0.165700i
\(386\) −2.53791 + 5.44258i −0.129176 + 0.277020i
\(387\) −0.881325 + 1.92983i −0.0448003 + 0.0980989i
\(388\) 0.361581 22.7880i 0.0183565 1.15688i
\(389\) −3.89140 6.05514i −0.197302 0.307008i 0.728479 0.685068i \(-0.240228\pi\)
−0.925781 + 0.378060i \(0.876591\pi\)
\(390\) −7.85558 + 8.92183i −0.397783 + 0.451774i
\(391\) −17.0735 + 5.38164i −0.863445 + 0.272161i
\(392\) −5.99586 4.05810i −0.302837 0.204965i
\(393\) −1.59458 + 1.02477i −0.0804357 + 0.0516929i
\(394\) −18.0203 21.1330i −0.907850 1.06466i
\(395\) 2.64147 + 1.20632i 0.132907 + 0.0606965i
\(396\) 1.19118 + 2.72180i 0.0598592 + 0.136775i
\(397\) −9.31182 20.3900i −0.467347 1.02335i −0.985751 0.168211i \(-0.946201\pi\)
0.518404 0.855136i \(-0.326526\pi\)
\(398\) −16.6131 0.131793i −0.832739 0.00660620i
\(399\) 1.99243 0.286469i 0.0997464 0.0143414i
\(400\) 8.38138 + 0.266045i 0.419069 + 0.0133022i
\(401\) 20.9129 + 18.1211i 1.04434 + 0.904927i 0.995583 0.0938836i \(-0.0299282\pi\)
0.0487582 + 0.998811i \(0.484474\pi\)
\(402\) −3.89437 13.6630i −0.194233 0.681451i
\(403\) 26.6707 41.5004i 1.32856 2.06728i
\(404\) −5.04094 3.35380i −0.250796 0.166858i
\(405\) 0.480071 1.63497i 0.0238549 0.0812424i
\(406\) 16.1720 + 10.5753i 0.802601 + 0.524843i
\(407\) 9.69469 8.40050i 0.480548 0.416397i
\(408\) 1.75079 10.4116i 0.0866768 0.515451i
\(409\) −18.6873 + 5.48709i −0.924028 + 0.271319i −0.708934 0.705274i \(-0.750824\pi\)
−0.215093 + 0.976593i \(0.569006\pi\)
\(410\) 15.5790 6.96587i 0.769392 0.344020i
\(411\) −1.60002 + 11.1284i −0.0789230 + 0.548921i
\(412\) 9.97439 + 11.8870i 0.491403 + 0.585630i
\(413\) 21.8751i 1.07640i
\(414\) 3.59914 5.74858i 0.176888 0.282527i
\(415\) 7.00667i 0.343944i
\(416\) −2.87285 27.7564i −0.140853 1.36087i
\(417\) −0.267220 + 1.85855i −0.0130858 + 0.0910137i
\(418\) −0.558284 1.24859i −0.0273066 0.0610705i
\(419\) −4.16851 + 1.22399i −0.203645 + 0.0597956i −0.381964 0.924177i \(-0.624752\pi\)
0.178319 + 0.983973i \(0.442934\pi\)
\(420\) 8.95365 5.55544i 0.436893 0.271078i
\(421\) 24.4661 21.2000i 1.19241 1.03323i 0.193769 0.981047i \(-0.437929\pi\)
0.998638 0.0521792i \(-0.0166167\pi\)
\(422\) 21.0394 32.1739i 1.02418 1.56620i
\(423\) −2.48564 + 8.46531i −0.120856 + 0.411597i
\(424\) 5.65610 + 21.1088i 0.274685 + 1.02513i
\(425\) −4.23069 + 6.58308i −0.205218 + 0.319326i
\(426\) −8.94210 + 2.54876i −0.433246 + 0.123488i
\(427\) −23.8542 20.6698i −1.15439 1.00028i
\(428\) −0.407256 + 2.54518i −0.0196855 + 0.123026i
\(429\) −7.25333 + 1.04287i −0.350194 + 0.0503503i
\(430\) 0.0405570 5.11239i 0.00195583 0.246541i
\(431\) −14.0978 30.8698i −0.679065 1.48694i −0.863631 0.504125i \(-0.831815\pi\)
0.184566 0.982820i \(-0.440912\pi\)
\(432\) 2.05471 + 3.43193i 0.0988575 + 0.165119i
\(433\) −11.1751 5.10350i −0.537042 0.245259i 0.128382 0.991725i \(-0.459022\pi\)
−0.665423 + 0.746466i \(0.731749\pi\)
\(434\) −33.2737 + 28.3728i −1.59719 + 1.36194i
\(435\) −6.33470 + 4.07107i −0.303726 + 0.195193i
\(436\) 16.4290 2.09667i 0.786805 0.100412i
\(437\) −1.63582 + 2.65942i −0.0782520 + 0.127217i
\(438\) −5.61956 4.94797i −0.268513 0.236423i
\(439\) 4.86121 + 7.56419i 0.232013 + 0.361019i 0.937666 0.347539i \(-0.112982\pi\)
−0.705653 + 0.708558i \(0.749346\pi\)
\(440\) −5.29780 4.81601i −0.252563 0.229594i
\(441\) −1.06336 + 2.32843i −0.0506361 + 0.110878i
\(442\) 23.6005 + 11.0051i 1.12256 + 0.523457i
\(443\) −32.2091 + 14.7094i −1.53030 + 0.698865i −0.989798 0.142476i \(-0.954494\pi\)
−0.540504 + 0.841342i \(0.681766\pi\)
\(444\) 11.5155 12.8712i 0.546501 0.610839i
\(445\) 2.75640 + 19.1712i 0.130666 + 0.908800i
\(446\) 1.63529 + 2.58950i 0.0774331 + 0.122616i
\(447\) −5.60927 + 6.47344i −0.265309 + 0.306183i
\(448\) −4.68109 + 24.2881i −0.221161 + 1.14750i
\(449\) 12.8610 + 8.26529i 0.606950 + 0.390063i 0.807712 0.589577i \(-0.200705\pi\)
−0.200762 + 0.979640i \(0.564342\pi\)
\(450\) −0.398636 2.93784i −0.0187919 0.138491i
\(451\) 10.0938 + 2.96380i 0.475298 + 0.139560i
\(452\) −5.87142 21.2370i −0.276168 0.998904i
\(453\) −10.7770 12.4373i −0.506347 0.584355i
\(454\) −6.65903 2.01278i −0.312524 0.0944646i
\(455\) 7.32201 + 24.9365i 0.343261 + 1.16904i
\(456\) −0.958392 1.57234i −0.0448808 0.0736314i
\(457\) 9.09539 + 1.30772i 0.425464 + 0.0611725i 0.351721 0.936105i \(-0.385596\pi\)
0.0737429 + 0.997277i \(0.476506\pi\)
\(458\) −40.8432 6.20345i −1.90848 0.289868i
\(459\) −3.73274 −0.174229
\(460\) −2.26321 + 16.1867i −0.105523 + 0.754708i
\(461\) −14.9859 −0.697962 −0.348981 0.937130i \(-0.613472\pi\)
−0.348981 + 0.937130i \(0.613472\pi\)
\(462\) 6.42191 + 0.975390i 0.298774 + 0.0453792i
\(463\) −13.0147 1.87123i −0.604845 0.0869635i −0.166913 0.985972i \(-0.553380\pi\)
−0.437932 + 0.899008i \(0.644289\pi\)
\(464\) 3.06943 17.4077i 0.142495 0.808134i
\(465\) −4.80097 16.3506i −0.222639 0.758240i
\(466\) 17.7545 + 5.36656i 0.822464 + 0.248601i
\(467\) −20.1760 23.2843i −0.933632 1.07747i −0.996837 0.0794680i \(-0.974678\pi\)
0.0632057 0.998001i \(-0.479868\pi\)
\(468\) −9.50906 + 2.62898i −0.439557 + 0.121525i
\(469\) −29.8029 8.75093i −1.37617 0.404080i
\(470\) −2.85872 21.0680i −0.131863 0.971793i
\(471\) −14.9010 9.57632i −0.686604 0.441253i
\(472\) −18.3954 + 7.87739i −0.846717 + 0.362586i
\(473\) 2.06387 2.38183i 0.0948967 0.109517i
\(474\) 1.28685 + 2.03774i 0.0591069 + 0.0935964i
\(475\) 0.194235 + 1.35094i 0.00891212 + 0.0619852i
\(476\) −17.2025 15.3906i −0.788475 0.705428i
\(477\) 7.02813 3.20964i 0.321796 0.146959i
\(478\) −18.3692 8.56570i −0.840188 0.391786i
\(479\) 8.86453 19.4106i 0.405031 0.886894i −0.591704 0.806155i \(-0.701545\pi\)
0.996735 0.0807388i \(-0.0257280\pi\)
\(480\) −7.89602 5.52883i −0.360403 0.252356i
\(481\) 23.0297 + 35.8349i 1.05006 + 1.63393i
\(482\) 20.8237 + 18.3351i 0.948493 + 0.835139i
\(483\) −6.42497 13.3639i −0.292346 0.608079i
\(484\) 2.22633 + 17.4450i 0.101197 + 0.792953i
\(485\) 16.3352 10.4980i 0.741745 0.476691i
\(486\) 1.07610 0.917605i 0.0488131 0.0416234i
\(487\) −1.88884 0.862603i −0.0855914 0.0390883i 0.372159 0.928169i \(-0.378618\pi\)
−0.457751 + 0.889081i \(0.651345\pi\)
\(488\) −8.79175 + 27.5031i −0.397984 + 1.24501i
\(489\) 3.76349 + 8.24089i 0.170191 + 0.372666i
\(490\) 0.0489339 6.16832i 0.00221061 0.278656i
\(491\) 16.7989 2.41532i 0.758126 0.109002i 0.247597 0.968863i \(-0.420359\pi\)
0.510528 + 0.859861i \(0.329450\pi\)
\(492\) 13.9854 + 2.23781i 0.630509 + 0.100888i
\(493\) 12.4663 + 10.8021i 0.561453 + 0.486501i
\(494\) 4.36776 1.24494i 0.196515 0.0560125i
\(495\) −1.36853 + 2.12948i −0.0615111 + 0.0957131i
\(496\) 35.8417 + 17.7636i 1.60934 + 0.797607i
\(497\) −5.72725 + 19.5052i −0.256902 + 0.874929i
\(498\) −3.18260 + 4.86690i −0.142616 + 0.218091i
\(499\) −6.42769 + 5.56963i −0.287743 + 0.249331i −0.786756 0.617263i \(-0.788241\pi\)
0.499014 + 0.866594i \(0.333696\pi\)
\(500\) 12.7507 + 20.5501i 0.570228 + 0.919030i
\(501\) −21.8946 + 6.42883i −0.978179 + 0.287219i
\(502\) −5.11892 11.4483i −0.228468 0.510964i
\(503\) −3.00573 + 20.9053i −0.134019 + 0.932122i 0.806222 + 0.591613i \(0.201508\pi\)
−0.940241 + 0.340509i \(0.889401\pi\)
\(504\) 8.74269 + 0.208105i 0.389431 + 0.00926973i
\(505\) 5.15857i 0.229553i
\(506\) −7.53592 + 6.68741i −0.335012 + 0.297292i
\(507\) 11.3334i 0.503336i
\(508\) 16.7840 14.0835i 0.744670 0.624853i
\(509\) −1.78116 + 12.3882i −0.0789485 + 0.549099i 0.911509 + 0.411280i \(0.134918\pi\)
−0.990457 + 0.137819i \(0.955991\pi\)
\(510\) 8.21171 3.67172i 0.363621 0.162586i
\(511\) −15.7066 + 4.61189i −0.694821 + 0.204018i
\(512\) 22.1103 4.80988i 0.977146 0.212569i
\(513\) −0.492018 + 0.426336i −0.0217231 + 0.0188232i
\(514\) 14.1275 + 9.23834i 0.623136 + 0.407486i
\(515\) −3.72472 + 12.6852i −0.164131 + 0.558979i
\(516\) 2.35034 3.53268i 0.103468 0.155518i
\(517\) 7.08579 11.0257i 0.311633 0.484910i
\(518\) −10.3501 36.3123i −0.454757 1.59547i
\(519\) 15.8699 + 13.7513i 0.696609 + 0.603615i
\(520\) 18.3331 15.1371i 0.803961 0.663808i
\(521\) 6.81822 0.980312i 0.298712 0.0429482i 0.00867041 0.999962i \(-0.497240\pi\)
0.290041 + 0.957014i \(0.406331\pi\)
\(522\) −6.24931 0.0495764i −0.273525 0.00216990i
\(523\) 10.3170 + 22.5911i 0.451131 + 0.987839i 0.989420 + 0.145079i \(0.0463435\pi\)
−0.538289 + 0.842760i \(0.680929\pi\)
\(524\) 3.47292 1.51991i 0.151715 0.0663976i
\(525\) −5.89608 2.69265i −0.257326 0.117517i
\(526\) 6.43350 + 7.54476i 0.280514 + 0.328967i
\(527\) −31.4035 + 20.1818i −1.36796 + 0.879133i
\(528\) −1.49235 5.75163i −0.0649462 0.250308i
\(529\) 22.3070 + 5.60345i 0.969869 + 0.243628i
\(530\) −12.3041 + 13.9742i −0.534457 + 0.606999i
\(531\) 3.82503 + 5.95186i 0.165992 + 0.258289i
\(532\) −4.02534 0.0638708i −0.174520 0.00276915i
\(533\) −14.5117 + 31.7761i −0.628571 + 1.37638i
\(534\) −6.79338 + 14.5685i −0.293979 + 0.630440i
\(535\) −1.99762 + 0.912282i −0.0863646 + 0.0394414i
\(536\) 3.37337 + 28.2135i 0.145707 + 1.21864i
\(537\) −0.621614 4.32342i −0.0268246 0.186569i
\(538\) 14.6115 9.22728i 0.629946 0.397816i
\(539\) 2.49015 2.87378i 0.107258 0.123783i
\(540\) −1.46473 + 3.07717i −0.0630321 + 0.132420i
\(541\) −6.34785 4.07952i −0.272916 0.175392i 0.397023 0.917809i \(-0.370043\pi\)
−0.669939 + 0.742416i \(0.733680\pi\)
\(542\) 16.6712 2.26213i 0.716091 0.0971667i
\(543\) 19.7204 + 5.79042i 0.846282 + 0.248491i
\(544\) −6.74767 + 20.0084i −0.289304 + 0.857853i
\(545\) 9.24073 + 10.6644i 0.395829 + 0.456811i
\(546\) −6.24082 + 20.6469i −0.267082 + 0.883607i
\(547\) −5.77083 19.6536i −0.246743 0.840329i −0.985977 0.166881i \(-0.946631\pi\)
0.739234 0.673448i \(-0.235188\pi\)
\(548\) 6.67641 21.4715i 0.285202 0.917219i
\(549\) 10.1046 + 1.45283i 0.431255 + 0.0620052i
\(550\) −0.661347 + 4.35427i −0.0281999 + 0.185667i
\(551\) 2.87696 0.122563
\(552\) −8.92443 + 10.2154i −0.379849 + 0.434797i
\(553\) 5.26908 0.224064
\(554\) 2.75229 18.1210i 0.116934 0.769886i
\(555\) 14.5647 + 2.09409i 0.618239 + 0.0888893i
\(556\) 1.11503 3.58597i 0.0472878 0.152079i
\(557\) 7.83582 + 26.6864i 0.332014 + 1.13074i 0.941239 + 0.337740i \(0.109662\pi\)
−0.609225 + 0.792997i \(0.708519\pi\)
\(558\) 4.09204 13.5380i 0.173230 0.573108i
\(559\) 6.85338 + 7.90922i 0.289867 + 0.334524i
\(560\) −19.4379 + 8.14195i −0.821401 + 0.344060i
\(561\) 5.32045 + 1.56222i 0.224629 + 0.0659572i
\(562\) −37.9301 + 5.14675i −1.59998 + 0.217103i
\(563\) −10.0862 6.48199i −0.425081 0.273183i 0.310561 0.950554i \(-0.399483\pi\)
−0.735642 + 0.677370i \(0.763120\pi\)
\(564\) 7.58388 15.9325i 0.319339 0.670879i
\(565\) 12.2935 14.1874i 0.517190 0.596869i
\(566\) 12.4926 7.88920i 0.525105 0.331608i
\(567\) −0.440021 3.06041i −0.0184791 0.128525i
\(568\) 18.4650 2.20778i 0.774773 0.0926363i
\(569\) 34.0660 15.5574i 1.42812 0.652202i 0.456714 0.889614i \(-0.349026\pi\)
0.971409 + 0.237412i \(0.0762991\pi\)
\(570\) 0.663032 1.42188i 0.0277714 0.0595560i
\(571\) −5.03036 + 11.0150i −0.210514 + 0.460962i −0.985205 0.171378i \(-0.945178\pi\)
0.774691 + 0.632340i \(0.217905\pi\)
\(572\) 14.6540 + 0.232518i 0.612714 + 0.00972205i
\(573\) 7.22605 + 11.2440i 0.301873 + 0.469723i
\(574\) 20.4628 23.2402i 0.854101 0.970029i
\(575\) 9.06117 4.35635i 0.377877 0.181672i
\(576\) −2.97332 7.42694i −0.123888 0.309456i
\(577\) −39.1305 + 25.1477i −1.62903 + 1.04691i −0.679285 + 0.733875i \(0.737710\pi\)
−0.949741 + 0.313036i \(0.898654\pi\)
\(578\) 2.81398 + 3.30004i 0.117046 + 0.137264i
\(579\) −3.86260 1.76399i −0.160524 0.0733089i
\(580\) 13.7967 6.03808i 0.572878 0.250718i
\(581\) 5.28140 + 11.5647i 0.219109 + 0.479783i
\(582\) 16.1150 + 0.127842i 0.667990 + 0.00529923i
\(583\) −11.3608 + 1.63344i −0.470517 + 0.0676502i
\(584\) 9.53437 + 11.5474i 0.394535 + 0.477836i
\(585\) −6.35255 5.50452i −0.262646 0.227584i
\(586\) −7.03529 24.6827i −0.290625 1.01963i
\(587\) −16.8969 + 26.2921i −0.697411 + 1.08519i 0.294176 + 0.955751i \(0.404955\pi\)
−0.991587 + 0.129441i \(0.958682\pi\)
\(588\) 2.83579 4.26234i 0.116946 0.175776i
\(589\) −1.83427 + 6.24696i −0.0755799 + 0.257401i
\(590\) −14.2693 9.33109i −0.587458 0.384155i
\(591\) 14.8417 12.8604i 0.610507 0.529007i
\(592\) −26.8090 + 21.7801i −1.10184 + 0.895156i
\(593\) −24.6705 + 7.24392i −1.01310 + 0.297472i −0.745820 0.666148i \(-0.767942\pi\)
−0.267277 + 0.963620i \(0.586124\pi\)
\(594\) −1.91786 + 0.857535i −0.0786906 + 0.0351851i
\(595\) 2.79878 19.4660i 0.114739 0.798027i
\(596\) 13.1232 11.0117i 0.537549 0.451058i
\(597\) 11.7476i 0.480797i
\(598\) −18.4192 27.9298i −0.753217 1.14213i
\(599\) 17.6317i 0.720411i −0.932873 0.360205i \(-0.882707\pi\)
0.932873 0.360205i \(-0.117293\pi\)
\(600\) −0.141102 + 5.92784i −0.00576047 + 0.242003i
\(601\) 3.99166 27.7626i 0.162823 1.13246i −0.730457 0.682959i \(-0.760693\pi\)
0.893280 0.449500i \(-0.148398\pi\)
\(602\) −3.78661 8.46866i −0.154331 0.345157i
\(603\) 9.63908 2.83029i 0.392534 0.115258i
\(604\) 17.3530 + 27.9677i 0.706084 + 1.13799i
\(605\) −11.3239 + 9.81218i −0.460381 + 0.398922i
\(606\) 2.34314 3.58318i 0.0951837 0.145557i
\(607\) −1.33336 + 4.54101i −0.0541194 + 0.184314i −0.982117 0.188273i \(-0.939711\pi\)
0.927997 + 0.372587i \(0.121529\pi\)
\(608\) 1.39585 + 3.40803i 0.0566091 + 0.138214i
\(609\) −7.38691 + 11.4943i −0.299333 + 0.465771i
\(610\) −23.6584 + 6.74335i −0.957901 + 0.273030i
\(611\) 32.8913 + 28.5005i 1.33064 + 1.15300i
\(612\) 7.37171 + 1.17955i 0.297984 + 0.0476805i
\(613\) −18.8357 + 2.70816i −0.760766 + 0.109382i −0.511770 0.859123i \(-0.671010\pi\)
−0.248996 + 0.968504i \(0.580101\pi\)
\(614\) −0.214264 + 27.0088i −0.00864697 + 1.08999i
\(615\) 5.01284 + 10.9766i 0.202137 + 0.442619i
\(616\) −12.3743 3.95561i −0.498574 0.159376i
\(617\) −9.98432 4.55969i −0.401954 0.183566i 0.204172 0.978935i \(-0.434550\pi\)
−0.606126 + 0.795369i \(0.707277\pi\)
\(618\) −8.34916 + 7.11942i −0.335853 + 0.286385i
\(619\) 28.6103 18.3867i 1.14994 0.739024i 0.180316 0.983609i \(-0.442288\pi\)
0.969628 + 0.244585i \(0.0786516\pi\)
\(620\) 4.31452 + 33.8075i 0.173275 + 1.35774i
\(621\) 4.08492 + 2.51265i 0.163922 + 0.100829i
\(622\) −32.9501 29.0123i −1.32118 1.16329i
\(623\) 19.0001 + 29.5647i 0.761222 + 1.18448i
\(624\) 19.6100 2.18704i 0.785028 0.0875518i
\(625\) −4.20529 + 9.20830i −0.168212 + 0.368332i
\(626\) 29.1385 + 13.5875i 1.16461 + 0.543065i
\(627\) 0.879727 0.401758i 0.0351329 0.0160447i
\(628\) 26.4016 + 23.6208i 1.05354 + 0.942573i
\(629\) −4.58728 31.9052i −0.182907 1.27215i
\(630\) 3.97839 + 6.29982i 0.158503 + 0.250991i
\(631\) −27.0350 + 31.2001i −1.07625 + 1.24206i −0.107449 + 0.994211i \(0.534268\pi\)
−0.968799 + 0.247846i \(0.920277\pi\)
\(632\) −1.89744 4.43093i −0.0754762 0.176253i
\(633\) 22.8677 + 14.6962i 0.908908 + 0.584120i
\(634\) −4.57715 33.7323i −0.181782 1.33968i
\(635\) 17.9111 + 5.25917i 0.710780 + 0.208704i
\(636\) −14.8940 + 4.11775i −0.590584 + 0.163279i
\(637\) 8.26891 + 9.54283i 0.327626 + 0.378101i
\(638\) 8.88669 + 2.68612i 0.351827 + 0.106345i
\(639\) −1.85235 6.30852i −0.0732778 0.249561i
\(640\) 13.8466 + 13.4139i 0.547334 + 0.530232i
\(641\) −10.2869 1.47903i −0.406307 0.0584181i −0.0638683 0.997958i \(-0.520344\pi\)
−0.342439 + 0.939540i \(0.611253\pi\)
\(642\) −1.80194 0.273687i −0.0711170 0.0108016i
\(643\) 13.6063 0.536582 0.268291 0.963338i \(-0.413541\pi\)
0.268291 + 0.963338i \(0.413541\pi\)
\(644\) 8.46553 + 28.4224i 0.333588 + 1.12000i
\(645\) 3.61512 0.142345
\(646\) −3.39777 0.516069i −0.133683 0.0203045i
\(647\) −9.58748 1.37847i −0.376923 0.0541933i −0.0487499 0.998811i \(-0.515524\pi\)
−0.328173 + 0.944618i \(0.606433\pi\)
\(648\) −2.41514 + 1.47211i −0.0948756 + 0.0578299i
\(649\) −2.96102 10.0843i −0.116230 0.395844i
\(650\) −13.9993 4.23148i −0.549098 0.165972i
\(651\) −20.2486 23.3682i −0.793606 0.915870i
\(652\) −4.82830 17.4640i −0.189091 0.683944i
\(653\) 6.15474 + 1.80719i 0.240854 + 0.0707210i 0.399931 0.916545i \(-0.369034\pi\)
−0.159078 + 0.987266i \(0.550852\pi\)
\(654\) 1.57468 + 11.6049i 0.0615747 + 0.453788i
\(655\) 2.71715 + 1.74621i 0.106168 + 0.0682299i
\(656\) −26.9122 8.83879i −1.05075 0.345097i
\(657\) 3.46711 4.00126i 0.135265 0.156104i
\(658\) −20.5987 32.6183i −0.803021 1.27159i
\(659\) −4.84044 33.6660i −0.188557 1.31144i −0.835748 0.549113i \(-0.814965\pi\)
0.647191 0.762328i \(-0.275944\pi\)
\(660\) 3.37561 3.77301i 0.131395 0.146864i
\(661\) −20.7147 + 9.46009i −0.805709 + 0.367955i −0.775308 0.631583i \(-0.782406\pi\)
−0.0304005 + 0.999538i \(0.509678\pi\)
\(662\) 29.7358 + 13.8660i 1.15571 + 0.538917i
\(663\) −7.64912 + 16.7492i −0.297067 + 0.650487i
\(664\) 7.82319 8.60582i 0.303599 0.333971i
\(665\) −1.85440 2.88551i −0.0719106 0.111895i
\(666\) 9.16560 + 8.07023i 0.355160 + 0.312715i
\(667\) −6.37115 20.2128i −0.246692 0.782642i
\(668\) 45.2707 5.77744i 1.75158 0.223536i
\(669\) −1.82182 + 1.17081i −0.0704356 + 0.0452662i
\(670\) −18.4211 + 15.7079i −0.711671 + 0.606849i
\(671\) −13.7946 6.29977i −0.532533 0.243200i
\(672\) −17.2000 3.17368i −0.663504 0.122428i
\(673\) −9.01464 19.7393i −0.347489 0.760895i −0.999995 0.00311134i \(-0.999010\pi\)
0.652506 0.757783i \(-0.273718\pi\)
\(674\) 0.122129 15.3948i 0.00470423 0.592987i
\(675\) 2.07506 0.298349i 0.0798692 0.0114835i
\(676\) −3.58138 + 22.3822i −0.137746 + 0.860853i
\(677\) −26.5192 22.9791i −1.01922 0.883157i −0.0260272 0.999661i \(-0.508286\pi\)
−0.993190 + 0.116504i \(0.962831\pi\)
\(678\) 14.9834 4.27072i 0.575435 0.164016i
\(679\) 19.0486 29.6401i 0.731017 1.13748i
\(680\) −17.3774 + 4.65628i −0.666393 + 0.178560i
\(681\) 1.38585 4.71979i 0.0531061 0.180863i
\(682\) −11.4985 + 17.5837i −0.440299 + 0.673315i
\(683\) −18.0024 + 15.5992i −0.688843 + 0.596886i −0.927323 0.374261i \(-0.877896\pi\)
0.238480 + 0.971147i \(0.423351\pi\)
\(684\) 1.10640 0.686484i 0.0423042 0.0262484i
\(685\) 18.3816 5.39734i 0.702326 0.206222i
\(686\) 7.92508 + 17.7243i 0.302581 + 0.676716i
\(687\) 4.15726 28.9144i 0.158609 1.10315i
\(688\) −5.75797 + 6.23391i −0.219520 + 0.237666i
\(689\) 38.1133i 1.45200i
\(690\) −11.4581 1.50948i −0.436201 0.0574650i
\(691\) 21.3535i 0.812326i −0.913801 0.406163i \(-0.866866\pi\)
0.913801 0.406163i \(-0.133134\pi\)
\(692\) −26.9956 32.1720i −1.02622 1.22300i
\(693\) −0.653660 + 4.54631i −0.0248305 + 0.172700i
\(694\) 20.4740 9.15459i 0.777184 0.347503i
\(695\) 3.06993 0.901412i 0.116449 0.0341925i
\(696\) 12.3260 + 2.07270i 0.467214 + 0.0785654i
\(697\) 19.9774 17.3105i 0.756699 0.655683i
\(698\) 22.1919 + 14.5119i 0.839975 + 0.549283i
\(699\) −3.69502 + 12.5841i −0.139758 + 0.475973i
\(700\) 10.7932 + 7.18082i 0.407943 + 0.271410i
\(701\) −10.4427 + 16.2492i −0.394416 + 0.613723i −0.980498 0.196529i \(-0.937033\pi\)
0.586082 + 0.810251i \(0.300670\pi\)
\(702\) −1.91225 6.70896i −0.0721733 0.253214i
\(703\) −4.24873 3.68154i −0.160244 0.138852i
\(704\) 1.12969 + 11.8303i 0.0425768 + 0.445873i
\(705\) 14.8808 2.13954i 0.560443 0.0805796i
\(706\) 11.6154 + 0.0921464i 0.437153 + 0.00346798i
\(707\) −3.88836 8.51432i −0.146237 0.320214i
\(708\) −5.67317 12.9629i −0.213211 0.487176i
\(709\) −4.81931 2.20090i −0.180993 0.0826567i 0.322858 0.946448i \(-0.395356\pi\)
−0.503851 + 0.863791i \(0.668084\pi\)
\(710\) 10.2804 + 12.0561i 0.385817 + 0.452459i
\(711\) −1.43364 + 0.921341i −0.0537655 + 0.0345530i
\(712\) 18.0198 26.6242i 0.675319 0.997786i
\(713\) 47.9515 0.947025i 1.79580 0.0354664i
\(714\) 10.7860 12.2500i 0.403655 0.458443i
\(715\) 6.75084 + 10.5045i 0.252467 + 0.392846i
\(716\) −0.138594 + 8.73465i −0.00517952 + 0.326429i
\(717\) 5.95363 13.0366i 0.222343 0.486862i
\(718\) 16.8260 36.0835i 0.627941 1.34663i
\(719\) −23.4857 + 10.7256i −0.875869 + 0.399996i −0.802037 0.597275i \(-0.796250\pi\)
−0.0738323 + 0.997271i \(0.523523\pi\)
\(720\) 3.86506 5.61417i 0.144042 0.209228i
\(721\) 3.41399 + 23.7448i 0.127144 + 0.884303i
\(722\) 22.2123 14.0272i 0.826654 0.522039i
\(723\) −12.8476 + 14.8269i −0.477808 + 0.551420i
\(724\) −37.1155 17.6670i −1.37939 0.656590i
\(725\) −7.79349 5.00857i −0.289443 0.186014i
\(726\) −12.3226 + 1.67206i −0.457334 + 0.0620558i
\(727\) 35.7009 + 10.4827i 1.32407 + 0.388783i 0.865961 0.500112i \(-0.166708\pi\)
0.458112 + 0.888894i \(0.348526\pi\)
\(728\) 18.8493 38.8031i 0.698602 1.43814i
\(729\) 0.654861 + 0.755750i 0.0242541 + 0.0279907i
\(730\) −3.69150 + 12.2129i −0.136629 + 0.452018i
\(731\) −2.23110 7.59842i −0.0825201 0.281038i
\(732\) −19.4963 6.06223i −0.720605 0.224067i
\(733\) 6.37548 + 0.916655i 0.235484 + 0.0338574i 0.259046 0.965865i \(-0.416592\pi\)
−0.0235626 + 0.999722i \(0.507501\pi\)
\(734\) −5.88649 + 38.7563i −0.217274 + 1.43052i
\(735\) 4.36180 0.160887
\(736\) 20.8527 17.3541i 0.768642 0.639679i
\(737\) −14.9236 −0.549716
\(738\) −1.50387 + 9.90139i −0.0553582 + 0.364475i
\(739\) 1.51145 + 0.217314i 0.0555996 + 0.00799402i 0.170059 0.985434i \(-0.445604\pi\)
−0.114459 + 0.993428i \(0.536513\pi\)
\(740\) −28.1018 8.73805i −1.03304 0.321217i
\(741\) 0.904779 + 3.08139i 0.0332379 + 0.113198i
\(742\) −9.77493 + 32.3391i −0.358849 + 1.18721i
\(743\) 9.42610 + 10.8783i 0.345810 + 0.399086i 0.901836 0.432079i \(-0.142220\pi\)
−0.556026 + 0.831165i \(0.687674\pi\)
\(744\) −12.3593 + 25.4428i −0.453114 + 0.932777i
\(745\) 14.0045 + 4.11209i 0.513085 + 0.150655i
\(746\) 40.9061 5.55056i 1.49768 0.203221i
\(747\) −3.45916 2.22307i −0.126564 0.0813377i
\(748\) −10.0136 4.76647i −0.366132 0.174279i
\(749\) −2.60946 + 3.01148i −0.0953476 + 0.110037i
\(750\) −14.4592 + 9.13108i −0.527974 + 0.333420i
\(751\) 4.22788 + 29.4056i 0.154278 + 1.07302i 0.908945 + 0.416917i \(0.136889\pi\)
−0.754667 + 0.656108i \(0.772202\pi\)
\(752\) −20.0119 + 29.0682i −0.729760 + 1.06001i
\(753\) 8.06623 3.68372i 0.293950 0.134242i
\(754\) −13.0285 + 27.9398i −0.474471 + 1.01751i
\(755\) −11.6493 + 25.5083i −0.423960 + 0.928344i
\(756\) −0.0981067 + 6.18299i −0.00356811 + 0.224873i
\(757\) −13.3897 20.8348i −0.486658 0.757254i 0.507903 0.861414i \(-0.330421\pi\)
−0.994561 + 0.104160i \(0.966785\pi\)
\(758\) 20.6171 23.4155i 0.748848 0.850489i
\(759\) −4.77083 5.29102i −0.173170 0.192052i
\(760\) −1.75872 + 2.59852i −0.0637956 + 0.0942582i
\(761\) −18.0475 + 11.5984i −0.654220 + 0.420442i −0.825206 0.564832i \(-0.808941\pi\)
0.170986 + 0.985273i \(0.445305\pi\)
\(762\) 10.0524 + 11.7887i 0.364158 + 0.427060i
\(763\) 23.2904 + 10.6364i 0.843171 + 0.385063i
\(764\) −10.7175 24.4889i −0.387744 0.885977i
\(765\) 2.64228 + 5.78578i 0.0955317 + 0.209185i
\(766\) −44.5464 0.353391i −1.60953 0.0127685i
\(767\) 34.5449 4.96681i 1.24735 0.179341i
\(768\) 3.52502 + 15.6069i 0.127198 + 0.563164i
\(769\) −30.2532 26.2146i −1.09096 0.945322i −0.0922317 0.995738i \(-0.529400\pi\)
−0.998728 + 0.0504153i \(0.983946\pi\)
\(770\) −3.03399 10.6445i −0.109337 0.383600i
\(771\) −6.45304 + 10.0411i −0.232401 + 0.361622i
\(772\) 7.07074 + 4.70425i 0.254481 + 0.169310i
\(773\) 0.416037 1.41689i 0.0149638 0.0509621i −0.951673 0.307114i \(-0.900637\pi\)
0.966636 + 0.256152i \(0.0824548\pi\)
\(774\) 2.51109 + 1.64207i 0.0902593 + 0.0590231i
\(775\) 15.8444 13.7292i 0.569147 0.493169i
\(776\) −31.7849 5.34485i −1.14101 0.191869i
\(777\) 25.6178 7.52208i 0.919035 0.269853i
\(778\) −9.29254 + 4.15499i −0.333154 + 0.148964i
\(779\) 0.656126 4.56346i 0.0235082 0.163503i
\(780\) 10.8061 + 12.8782i 0.386920 + 0.461112i
\(781\) 9.76707i 0.349493i
\(782\) 3.89873 + 25.0147i 0.139418 + 0.894523i
\(783\) 4.41907i 0.157925i
\(784\) −6.94724 + 7.52149i −0.248116 + 0.268625i
\(785\) −4.29544 + 29.8755i −0.153311 + 1.06630i
\(786\) 1.09419 + 2.44712i 0.0390283 + 0.0872860i
\(787\) −27.0093 + 7.93065i −0.962778 + 0.282697i −0.725097 0.688646i \(-0.758205\pi\)
−0.237681 + 0.971343i \(0.576387\pi\)
\(788\) −33.3745 + 20.7078i −1.18892 + 0.737684i
\(789\) −5.29870 + 4.59135i −0.188639 + 0.163456i
\(790\) 2.24760 3.43707i 0.0799659 0.122285i
\(791\) 9.59660 32.6830i 0.341216 1.16207i
\(792\) 4.05852 1.08748i 0.144213 0.0386420i
\(793\) 27.2254 42.3636i 0.966803 1.50437i
\(794\) −30.4864 + 8.68952i −1.08192 + 0.308379i
\(795\) −9.94994 8.62167i −0.352888 0.305779i
\(796\) −3.71226 + 23.2001i −0.131577 + 0.822305i
\(797\) 18.1147 2.60450i 0.641656 0.0922562i 0.186196 0.982513i \(-0.440384\pi\)
0.455460 + 0.890256i \(0.349475\pi\)
\(798\) 0.0225824 2.84661i 0.000799410 0.100769i
\(799\) −13.6808 29.9567i −0.483991 1.05979i
\(800\) 2.15186 11.6622i 0.0760799 0.412320i
\(801\) −10.3392 4.72178i −0.365319 0.166836i
\(802\) 29.7777 25.3918i 1.05149 0.896614i
\(803\) −6.61643 + 4.25212i −0.233489 + 0.150054i
\(804\) −19.9304 + 2.54351i −0.702890 + 0.0897028i
\(805\) −16.1662 + 19.4186i −0.569782 + 0.684416i
\(806\) −52.3611 46.1034i −1.84434 1.62392i
\(807\) 6.60643 + 10.2798i 0.232557 + 0.361866i
\(808\) −5.75972 + 6.33592i −0.202626 + 0.222897i
\(809\) 5.15468 11.2872i 0.181229 0.396836i −0.797113 0.603830i \(-0.793641\pi\)
0.978342 + 0.206994i \(0.0663680\pi\)
\(810\) −2.18403 1.01843i −0.0767391 0.0357840i
\(811\) 10.7460 4.90752i 0.377342 0.172326i −0.217710 0.976013i \(-0.569859\pi\)
0.595052 + 0.803687i \(0.297131\pi\)
\(812\) 18.2205 20.3655i 0.639413 0.714689i
\(813\) 1.69303 + 11.7753i 0.0593772 + 0.412977i
\(814\) −9.68661 15.3389i −0.339516 0.537627i
\(815\) 10.1094 11.6669i 0.354117 0.408673i
\(816\) −14.1855 4.65894i −0.496591 0.163095i
\(817\) −1.16194 0.746735i −0.0406512 0.0261249i
\(818\) 3.70346 + 27.2934i 0.129488 + 0.954292i
\(819\) −14.6341 4.29697i −0.511358 0.150148i
\(820\) −6.43114 23.2615i −0.224585 0.812327i
\(821\) −20.5112 23.6712i −0.715845 0.826130i 0.274956 0.961457i \(-0.411337\pi\)
−0.990801 + 0.135327i \(0.956791\pi\)
\(822\) 15.2196 + 4.60034i 0.530846 + 0.160455i
\(823\) −9.18509 31.2815i −0.320172 1.09041i −0.949630 0.313372i \(-0.898541\pi\)
0.629458 0.777034i \(-0.283277\pi\)
\(824\) 18.7383 11.4216i 0.652781 0.397892i
\(825\) −3.08255 0.443203i −0.107321 0.0154304i
\(826\) −30.5852 4.64542i −1.06420 0.161635i
\(827\) 21.2389 0.738549 0.369275 0.929320i \(-0.379606\pi\)
0.369275 + 0.929320i \(0.379606\pi\)
\(828\) −7.27322 6.25302i −0.252762 0.217308i
\(829\) −50.3472 −1.74863 −0.874316 0.485357i \(-0.838690\pi\)
−0.874316 + 0.485357i \(0.838690\pi\)
\(830\) 9.79658 + 1.48795i 0.340044 + 0.0516475i
\(831\) 12.8285 + 1.84446i 0.445015 + 0.0639835i
\(832\) −39.4185 1.87764i −1.36659 0.0650955i
\(833\) −2.69192 9.16784i −0.0932695 0.317647i
\(834\) 2.54184 + 0.768306i 0.0880167 + 0.0266043i
\(835\) 25.4632 + 29.3861i 0.881189 + 1.01695i
\(836\) −1.86431 + 0.515428i −0.0644785 + 0.0178264i
\(837\) 9.59544 + 2.81748i 0.331667 + 0.0973862i
\(838\) 0.826117 + 6.08825i 0.0285377 + 0.210315i
\(839\) 18.7420 + 12.0448i 0.647047 + 0.415832i 0.822586 0.568640i \(-0.192530\pi\)
−0.175539 + 0.984472i \(0.556167\pi\)
\(840\) −5.86608 13.6986i −0.202399 0.472645i
\(841\) 6.20272 7.15832i 0.213887 0.246839i
\(842\) −24.4458 38.7101i −0.842456 1.33404i
\(843\) −3.85195 26.7909i −0.132668 0.922728i
\(844\) −40.5168 36.2493i −1.39465 1.24775i
\(845\) −17.5669 + 8.02255i −0.604321 + 0.275984i
\(846\) 11.3082 + 5.27307i 0.388782 + 0.181292i
\(847\) −11.2942 + 24.7308i −0.388072 + 0.849759i
\(848\) 30.7150 3.42554i 1.05476 0.117634i
\(849\) 5.64841 + 8.78910i 0.193853 + 0.301641i
\(850\) 8.30588 + 7.31325i 0.284889 + 0.250842i
\(851\) −16.4566 + 38.0034i −0.564124 + 1.30274i
\(852\) 1.66466 + 13.0439i 0.0570304 + 0.446877i
\(853\) −21.7069 + 13.9502i −0.743231 + 0.477646i −0.856648 0.515902i \(-0.827457\pi\)
0.113416 + 0.993548i \(0.463821\pi\)
\(854\) −33.9658 + 28.9630i −1.16228 + 0.991092i
\(855\) 1.00911 + 0.460844i 0.0345108 + 0.0157605i
\(856\) 3.47213 + 1.10992i 0.118675 + 0.0379361i
\(857\) −1.94461 4.25810i −0.0664266 0.145454i 0.873507 0.486812i \(-0.161840\pi\)
−0.939933 + 0.341358i \(0.889113\pi\)
\(858\) −0.0822100 + 10.3629i −0.00280660 + 0.353784i
\(859\) −9.03790 + 1.29945i −0.308369 + 0.0443368i −0.294762 0.955571i \(-0.595240\pi\)
−0.0136068 + 0.999907i \(0.504331\pi\)
\(860\) −7.13941 1.14238i −0.243452 0.0389549i
\(861\) 16.5476 + 14.3386i 0.563940 + 0.488657i
\(862\) −46.1553 + 13.1556i −1.57205 + 0.448082i
\(863\) −8.29308 + 12.9043i −0.282300 + 0.439267i −0.953227 0.302256i \(-0.902260\pi\)
0.670927 + 0.741524i \(0.265896\pi\)
\(864\) 5.23479 2.14405i 0.178091 0.0729420i
\(865\) 10.0809 34.3325i 0.342762 1.16734i
\(866\) −9.50877 + 14.5410i −0.323121 + 0.494124i
\(867\) −2.31762 + 2.00823i −0.0787106 + 0.0682031i
\(868\) 32.6042 + 52.5478i 1.10666 + 1.78359i
\(869\) 2.42903 0.713226i 0.0823991 0.0241946i
\(870\) 4.34683 + 9.72158i 0.147371 + 0.329592i
\(871\) 7.05254 49.0515i 0.238966 1.66205i
\(872\) 0.557375 23.4159i 0.0188751 0.792962i
\(873\) 11.3954i 0.385676i
\(874\) 3.37096 + 2.85193i 0.114024 + 0.0964680i
\(875\) 37.3878i 1.26394i
\(876\) −8.11152 + 6.80638i −0.274063 + 0.229966i
\(877\) −0.242753 + 1.68839i −0.00819719 + 0.0570127i −0.993509 0.113749i \(-0.963714\pi\)
0.985312 + 0.170762i \(0.0546230\pi\)
\(878\) 11.6084 5.19049i 0.391765 0.175171i
\(879\) 17.4133 5.11300i 0.587335 0.172457i
\(880\) −7.85869 + 6.38453i −0.264916 + 0.215223i
\(881\) −19.1740 + 16.6144i −0.645989 + 0.559753i −0.915035 0.403375i \(-0.867837\pi\)
0.269046 + 0.963127i \(0.413292\pi\)
\(882\) 3.02974 + 1.98123i 0.102017 + 0.0667116i
\(883\) −5.49321 + 18.7082i −0.184861 + 0.629580i 0.813955 + 0.580929i \(0.197310\pi\)
−0.998816 + 0.0486511i \(0.984508\pi\)
\(884\) 20.3989 30.6606i 0.686088 1.03123i
\(885\) 6.51783 10.1419i 0.219094 0.340918i
\(886\) 13.7264 + 48.1578i 0.461147 + 1.61789i
\(887\) 5.50216 + 4.76765i 0.184745 + 0.160082i 0.742323 0.670042i \(-0.233724\pi\)
−0.557579 + 0.830124i \(0.688269\pi\)
\(888\) −15.5507 18.8341i −0.521849 0.632030i
\(889\) 33.5268 4.82042i 1.12445 0.161672i
\(890\) 27.3901 + 0.217288i 0.918117 + 0.00728351i
\(891\) −0.617108 1.35128i −0.0206739 0.0452695i
\(892\) 3.96785 1.73651i 0.132853 0.0581428i
\(893\) −5.22481 2.38609i −0.174841 0.0798474i
\(894\) 7.85983 + 9.21747i 0.262872 + 0.308278i
\(895\) −6.26132 + 4.02390i −0.209293 + 0.134504i
\(896\) 32.9650 + 11.7029i 1.10128 + 0.390965i
\(897\) 19.6454 13.1806i 0.655940 0.440088i
\(898\) 14.2875 16.2268i 0.476782 0.541495i
\(899\) −23.8926 37.1776i −0.796862 1.23994i
\(900\) −4.19227 0.0665196i −0.139742 0.00221732i
\(901\) −11.9808 + 26.2342i −0.399137 + 0.873988i
\(902\) 6.28746 13.4835i 0.209350 0.448952i
\(903\) 5.96682 2.72495i 0.198563 0.0906808i
\(904\) −30.9400 + 3.69936i −1.02905 + 0.123039i
\(905\) −4.98415 34.6656i −0.165679 1.15232i
\(906\) −19.6782 + 12.4269i −0.653764 + 0.412857i
\(907\) 17.8824 20.6374i 0.593775 0.685253i −0.376733 0.926322i \(-0.622952\pi\)
0.970508 + 0.241069i \(0.0774979\pi\)
\(908\) −4.22835 + 8.88307i −0.140323 + 0.294795i
\(909\) 2.54676 + 1.63670i 0.0844706 + 0.0542860i
\(910\) 36.4206 4.94192i 1.20733 0.163823i
\(911\) 24.9201 + 7.31720i 0.825640 + 0.242430i 0.667143 0.744930i \(-0.267517\pi\)
0.158497 + 0.987359i \(0.449335\pi\)
\(912\) −2.40193 + 1.00610i −0.0795360 + 0.0333153i
\(913\) 4.00010 + 4.61637i 0.132384 + 0.152779i
\(914\) 3.75994 12.4393i 0.124368 0.411454i
\(915\) −4.90082 16.6907i −0.162016 0.551777i
\(916\) −17.3470 + 55.7886i −0.573163 + 1.84331i
\(917\) 5.80094 + 0.834049i 0.191564 + 0.0275427i
\(918\) −0.792691 + 5.21904i −0.0261627 + 0.172254i
\(919\) −31.0730 −1.02500 −0.512502 0.858686i \(-0.671281\pi\)
−0.512502 + 0.858686i \(0.671281\pi\)
\(920\) 22.1513 + 6.60180i 0.730306 + 0.217655i
\(921\) −19.0987 −0.629324
\(922\) −3.18243 + 20.9529i −0.104808 + 0.690048i
\(923\) −32.1029 4.61570i −1.05668 0.151928i
\(924\) 2.72754 8.77184i 0.0897294 0.288573i
\(925\) 5.10022 + 17.3697i 0.167694 + 0.571114i
\(926\) −5.38014 + 17.7995i −0.176802 + 0.584928i
\(927\) −5.08086 5.86363i −0.166877 0.192587i
\(928\) −23.6873 7.98835i −0.777574 0.262230i
\(929\) −17.4020 5.10969i −0.570942 0.167644i −0.0164967 0.999864i \(-0.505251\pi\)
−0.554445 + 0.832220i \(0.687069\pi\)
\(930\) −23.8806 + 3.24037i −0.783075 + 0.106256i
\(931\) −1.40193 0.900969i −0.0459466 0.0295281i
\(932\) 11.2738 23.6844i 0.369285 0.775807i
\(933\) 20.3293 23.4613i 0.665552 0.768088i
\(934\) −36.8402 + 23.2649i −1.20545 + 0.761250i
\(935\) −1.34470 9.35258i −0.0439763 0.305862i
\(936\) 1.65642 + 13.8537i 0.0541419 + 0.452821i
\(937\) 43.8199 20.0119i 1.43153 0.653759i 0.459409 0.888225i \(-0.348061\pi\)
0.972124 + 0.234466i \(0.0753340\pi\)
\(938\) −18.5644 + 39.8114i −0.606148 + 1.29989i
\(939\) −9.44405 + 20.6796i −0.308195 + 0.674853i
\(940\) −30.0639 0.477029i −0.980575 0.0155590i
\(941\) −9.18023 14.2847i −0.299267 0.465668i 0.658757 0.752355i \(-0.271082\pi\)
−0.958024 + 0.286687i \(0.907446\pi\)
\(942\) −16.5538 + 18.8007i −0.539352 + 0.612559i
\(943\) −33.5147 + 5.49619i −1.09139 + 0.178981i
\(944\) 7.10752 + 27.3929i 0.231330 + 0.891563i
\(945\) −4.43219 + 2.84840i −0.144179 + 0.0926583i
\(946\) −2.89193 3.39146i −0.0940249 0.110266i
\(947\) 50.3594 + 22.9984i 1.63646 + 0.747347i 0.999718 0.0237287i \(-0.00755380\pi\)
0.636743 + 0.771076i \(0.280281\pi\)
\(948\) 3.12240 1.36651i 0.101411 0.0443821i
\(949\) −10.8493 23.7567i −0.352184 0.771175i
\(950\) 1.93010 + 0.0153116i 0.0626206 + 0.000496775i
\(951\) 23.8259 3.42565i 0.772609 0.111084i
\(952\) −25.1720 + 20.7838i −0.815828 + 0.673606i
\(953\) 12.8777 + 11.1586i 0.417150 + 0.361463i 0.838002 0.545667i \(-0.183724\pi\)
−0.420852 + 0.907129i \(0.638269\pi\)
\(954\) −2.99514 10.5082i −0.0969713 0.340215i
\(955\) 12.3132 19.1596i 0.398444 0.619991i
\(956\) −15.8773 + 23.8644i −0.513508 + 0.771830i
\(957\) −1.84947 + 6.29871i −0.0597848 + 0.203608i
\(958\) −25.2570 16.5163i −0.816017 0.533616i
\(959\) 26.2709 22.7639i 0.848332 0.735084i
\(960\) −9.40711 + 9.86594i −0.303613 + 0.318422i
\(961\) 66.2153 19.4426i 2.13598 0.627179i
\(962\) 54.9942 24.5897i 1.77308 0.792802i
\(963\) 0.183412 1.27566i 0.00591038 0.0411076i
\(964\) 30.0578 25.2216i 0.968097 0.812331i
\(965\) 7.23573i 0.232926i
\(966\) −20.0495 + 6.14527i −0.645083 + 0.197721i
\(967\) 36.7979i 1.18334i −0.806180 0.591670i \(-0.798469\pi\)
0.806180 0.591670i \(-0.201531\pi\)
\(968\) 24.8640 + 0.591844i 0.799158 + 0.0190226i
\(969\) 0.345845 2.40540i 0.0111101 0.0772727i
\(970\) −11.2091 25.0690i −0.359903 0.804916i
\(971\) −16.4028 + 4.81628i −0.526389 + 0.154562i −0.534121 0.845408i \(-0.679357\pi\)
0.00773123 + 0.999970i \(0.497539\pi\)
\(972\) −1.05445 1.69945i −0.0338216 0.0545099i
\(973\) 4.38752 3.80181i 0.140657 0.121880i
\(974\) −1.60719 + 2.45775i −0.0514977 + 0.0787513i
\(975\) 2.91349 9.92243i 0.0933063 0.317772i
\(976\) 36.5872 + 18.1330i 1.17113 + 0.580424i
\(977\) 7.67489 11.9424i 0.245542 0.382070i −0.696505 0.717552i \(-0.745263\pi\)
0.942047 + 0.335482i \(0.108899\pi\)
\(978\) 12.3215 3.51198i 0.393997 0.112301i
\(979\) 12.7609 + 11.0573i 0.407839 + 0.353394i
\(980\) −8.61402 1.37833i −0.275165 0.0440293i
\(981\) −8.19682 + 1.17853i −0.261704 + 0.0376274i
\(982\) 0.190401 24.0008i 0.00607594 0.765897i
\(983\) 14.2364 + 31.1733i 0.454070 + 0.994274i 0.988799 + 0.149251i \(0.0476862\pi\)
−0.534729 + 0.845023i \(0.679586\pi\)
\(984\) 6.09881 19.0788i 0.194423 0.608210i
\(985\) −30.4397 13.9013i −0.969890 0.442934i
\(986\) 17.7506 15.1361i 0.565294 0.482032i
\(987\) 22.9483 14.7480i 0.730453 0.469434i
\(988\) −0.813103 6.37129i −0.0258683 0.202698i
\(989\) −2.67319 + 9.81717i −0.0850026 + 0.312168i
\(990\) 2.68677 + 2.36568i 0.0853912 + 0.0751861i
\(991\) −8.30801 12.9275i −0.263913 0.410656i 0.683855 0.729618i \(-0.260302\pi\)
−0.947767 + 0.318962i \(0.896666\pi\)
\(992\) 32.4480 46.3408i 1.03023 1.47132i
\(993\) −9.63763 + 21.1035i −0.305841 + 0.669698i
\(994\) 26.0555 + 12.1499i 0.826431 + 0.385371i
\(995\) −18.2089 + 8.31571i −0.577260 + 0.263626i
\(996\) 6.12892 + 5.48338i 0.194202 + 0.173748i
\(997\) −2.43706 16.9501i −0.0771825 0.536816i −0.991326 0.131425i \(-0.958045\pi\)
0.914144 0.405391i \(-0.132865\pi\)
\(998\) 6.42233 + 10.1698i 0.203295 + 0.321920i
\(999\) −5.65492 + 6.52612i −0.178914 + 0.206477i
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 276.2.m.a.103.13 yes 240
3.2 odd 2 828.2.u.c.379.12 240
4.3 odd 2 inner 276.2.m.a.103.23 yes 240
12.11 even 2 828.2.u.c.379.2 240
23.21 odd 22 inner 276.2.m.a.67.23 yes 240
69.44 even 22 828.2.u.c.343.2 240
92.67 even 22 inner 276.2.m.a.67.13 240
276.251 odd 22 828.2.u.c.343.12 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
276.2.m.a.67.13 240 92.67 even 22 inner
276.2.m.a.67.23 yes 240 23.21 odd 22 inner
276.2.m.a.103.13 yes 240 1.1 even 1 trivial
276.2.m.a.103.23 yes 240 4.3 odd 2 inner
828.2.u.c.343.2 240 69.44 even 22
828.2.u.c.343.12 240 276.251 odd 22
828.2.u.c.379.2 240 12.11 even 2
828.2.u.c.379.12 240 3.2 odd 2