Properties

Label 161.2.m.a.100.13
Level $161$
Weight $2$
Character 161.100
Analytic conductor $1.286$
Analytic rank $0$
Dimension $280$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [161,2,Mod(2,161)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(161, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([22, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("161.2");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 161 = 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 161.m (of order \(33\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.28559147254\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(14\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 100.13
Character \(\chi\) \(=\) 161.100
Dual form 161.2.m.a.95.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.59143 + 1.25151i) q^{2} +(0.924163 - 1.29781i) q^{3} +(0.494839 + 2.03976i) q^{4} +(-1.87893 + 0.362134i) q^{5} +(3.09496 - 0.908761i) q^{6} +(2.37547 - 1.16496i) q^{7} +(-0.0831964 + 0.182175i) q^{8} +(0.150982 + 0.436235i) q^{9} +O(q^{10})\) \(q+(1.59143 + 1.25151i) q^{2} +(0.924163 - 1.29781i) q^{3} +(0.494839 + 2.03976i) q^{4} +(-1.87893 + 0.362134i) q^{5} +(3.09496 - 0.908761i) q^{6} +(2.37547 - 1.16496i) q^{7} +(-0.0831964 + 0.182175i) q^{8} +(0.150982 + 0.436235i) q^{9} +(-3.44340 - 1.77519i) q^{10} +(-4.40736 + 3.46599i) q^{11} +(3.10452 + 1.24286i) q^{12} +(-2.49215 + 1.60161i) q^{13} +(5.23835 + 1.11899i) q^{14} +(-1.26646 + 2.77316i) q^{15} +(3.37080 - 1.73777i) q^{16} +(-4.95695 - 4.72645i) q^{17} +(-0.305676 + 0.883192i) q^{18} +(2.93332 - 2.79692i) q^{19} +(-1.66843 - 3.65336i) q^{20} +(0.683435 - 4.15951i) q^{21} -11.3517 q^{22} +(-4.56180 + 1.47987i) q^{23} +(0.159540 + 0.276332i) q^{24} +(-1.24260 + 0.497462i) q^{25} +(-5.97051 - 0.570114i) q^{26} +(5.29175 + 1.55380i) q^{27} +(3.55171 + 4.26892i) q^{28} +(6.07219 - 1.78296i) q^{29} +(-5.48612 + 2.82829i) q^{30} +(-0.110593 + 0.0105604i) q^{31} +(7.93252 + 1.52887i) q^{32} +(0.425057 + 8.92304i) q^{33} +(-1.97343 - 13.7255i) q^{34} +(-4.04148 + 3.04912i) q^{35} +(-0.815100 + 0.523833i) q^{36} +(0.464468 + 1.34199i) q^{37} +(8.16854 - 0.780001i) q^{38} +(-0.224578 + 4.71447i) q^{39} +(0.0903485 - 0.372422i) q^{40} +(-0.915016 - 1.05598i) q^{41} +(6.29332 - 5.76423i) q^{42} +(3.80331 + 8.32808i) q^{43} +(-9.25071 - 7.27484i) q^{44} +(-0.441661 - 0.764979i) q^{45} +(-9.11184 - 3.35404i) q^{46} +(0.0620795 - 0.107525i) q^{47} +(0.859883 - 5.98062i) q^{48} +(4.28574 - 5.53465i) q^{49} +(-2.60009 - 0.763454i) q^{50} +(-10.7150 + 2.06515i) q^{51} +(-4.50010 - 4.29084i) q^{52} +(0.316381 - 6.64165i) q^{53} +(6.47684 + 9.09545i) q^{54} +(7.02598 - 8.10841i) q^{55} +(0.0145951 + 0.529671i) q^{56} +(-0.918986 - 6.39169i) q^{57} +(11.8948 + 4.76197i) q^{58} +(0.641051 + 0.330485i) q^{59} +(-6.28326 - 1.21100i) q^{60} +(4.51012 + 6.33358i) q^{61} +(-0.189218 - 0.121603i) q^{62} +(0.866850 + 0.860376i) q^{63} +(5.74367 + 6.62855i) q^{64} +(4.10258 - 3.91180i) q^{65} +(-10.4908 + 14.7323i) q^{66} +(1.84799 - 0.739825i) q^{67} +(7.18790 - 12.4498i) q^{68} +(-2.29526 + 7.28797i) q^{69} +(-10.2477 - 0.205513i) q^{70} +(1.07091 - 7.44837i) q^{71} +(-0.0920321 - 0.00878800i) q^{72} +(1.87382 + 7.72399i) q^{73} +(-0.940353 + 2.71697i) q^{74} +(-0.502756 + 2.07239i) q^{75} +(7.15655 + 4.59924i) q^{76} +(-6.43184 + 13.3678i) q^{77} +(-6.25762 + 7.22168i) q^{78} +(-0.517206 - 10.8575i) q^{79} +(-5.70419 + 4.48582i) q^{80} +(5.81839 - 4.57563i) q^{81} +(-0.134603 - 2.82567i) q^{82} +(-10.3922 + 11.9932i) q^{83} +(8.82258 - 0.664250i) q^{84} +(11.0254 + 7.08558i) q^{85} +(-4.37001 + 18.0134i) q^{86} +(3.29776 - 9.52826i) q^{87} +(-0.264739 - 1.09127i) q^{88} +(3.18290 + 0.303930i) q^{89} +(0.254509 - 1.77015i) q^{90} +(-4.05423 + 6.70783i) q^{91} +(-5.27593 - 8.57265i) q^{92} +(-0.0885011 + 0.153288i) q^{93} +(0.233364 - 0.0934247i) q^{94} +(-4.49865 + 6.31747i) q^{95} +(9.31511 - 8.88194i) q^{96} +(-4.16898 - 4.81126i) q^{97} +(13.7471 - 3.44434i) q^{98} +(-2.17742 - 1.39934i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280 q - 11 q^{2} - 9 q^{3} + q^{4} - 11 q^{5} - 52 q^{6} - 20 q^{7} - 32 q^{8} + 5 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 280 q - 11 q^{2} - 9 q^{3} + q^{4} - 11 q^{5} - 52 q^{6} - 20 q^{7} - 32 q^{8} + 5 q^{9} - 21 q^{10} - 7 q^{11} - 17 q^{12} - 36 q^{13} - 18 q^{14} - 32 q^{15} + 11 q^{16} - 21 q^{17} + 23 q^{18} - 13 q^{19} + 36 q^{20} - 90 q^{21} - 48 q^{22} + 11 q^{23} - 2 q^{24} + 9 q^{25} + 17 q^{26} + 6 q^{27} - 80 q^{28} - 40 q^{29} + 41 q^{30} - 7 q^{31} + 9 q^{32} - 33 q^{33} - 76 q^{34} - 6 q^{35} - 234 q^{36} + 27 q^{37} + 89 q^{38} + q^{39} - 35 q^{40} - 72 q^{41} + 62 q^{42} - 128 q^{43} + 30 q^{44} + 108 q^{45} - 11 q^{46} - 6 q^{47} + 68 q^{48} + 80 q^{49} - 226 q^{50} + 21 q^{51} + 189 q^{52} - 21 q^{53} + 55 q^{54} - 48 q^{55} + 83 q^{56} - 76 q^{57} + 10 q^{58} + 47 q^{59} - 15 q^{60} + 65 q^{61} + 4 q^{62} + 25 q^{63} + 24 q^{64} - 66 q^{65} - 44 q^{66} - 21 q^{67} + 202 q^{68} - 60 q^{69} - 6 q^{70} - 28 q^{71} - 129 q^{72} + 15 q^{73} - 34 q^{74} + 139 q^{75} - 44 q^{76} + 61 q^{77} + 244 q^{78} - 69 q^{79} - 102 q^{80} + 151 q^{81} + 137 q^{82} + 24 q^{83} + 32 q^{84} + 124 q^{85} - 55 q^{86} - 129 q^{87} + 64 q^{88} - 21 q^{89} - 28 q^{90} - 62 q^{91} + 154 q^{92} + 4 q^{93} - 98 q^{94} + 38 q^{95} + 165 q^{96} - 12 q^{97} + 12 q^{98} + 202 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/161\mathbb{Z}\right)^\times\).

\(n\) \(24\) \(120\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.59143 + 1.25151i 1.12531 + 0.884952i 0.994320 0.106431i \(-0.0339425\pi\)
0.130989 + 0.991384i \(0.458185\pi\)
\(3\) 0.924163 1.29781i 0.533566 0.749288i −0.456526 0.889710i \(-0.650906\pi\)
0.990092 + 0.140422i \(0.0448459\pi\)
\(4\) 0.494839 + 2.03976i 0.247420 + 1.01988i
\(5\) −1.87893 + 0.362134i −0.840283 + 0.161951i −0.591194 0.806529i \(-0.701343\pi\)
−0.249089 + 0.968481i \(0.580131\pi\)
\(6\) 3.09496 0.908761i 1.26351 0.371000i
\(7\) 2.37547 1.16496i 0.897844 0.440313i
\(8\) −0.0831964 + 0.182175i −0.0294144 + 0.0644084i
\(9\) 0.150982 + 0.436235i 0.0503274 + 0.145412i
\(10\) −3.44340 1.77519i −1.08890 0.561366i
\(11\) −4.40736 + 3.46599i −1.32887 + 1.04504i −0.334139 + 0.942524i \(0.608445\pi\)
−0.994732 + 0.102511i \(0.967312\pi\)
\(12\) 3.10452 + 1.24286i 0.896197 + 0.358783i
\(13\) −2.49215 + 1.60161i −0.691198 + 0.444206i −0.838512 0.544884i \(-0.816574\pi\)
0.147313 + 0.989090i \(0.452937\pi\)
\(14\) 5.23835 + 1.11899i 1.40001 + 0.299062i
\(15\) −1.26646 + 2.77316i −0.326998 + 0.716026i
\(16\) 3.37080 1.73777i 0.842699 0.434441i
\(17\) −4.95695 4.72645i −1.20224 1.14633i −0.985424 0.170118i \(-0.945585\pi\)
−0.216814 0.976213i \(-0.569567\pi\)
\(18\) −0.305676 + 0.883192i −0.0720485 + 0.208170i
\(19\) 2.93332 2.79692i 0.672950 0.641657i −0.274490 0.961590i \(-0.588509\pi\)
0.947440 + 0.319933i \(0.103660\pi\)
\(20\) −1.66843 3.65336i −0.373073 0.816916i
\(21\) 0.683435 4.15951i 0.149138 0.907680i
\(22\) −11.3517 −2.42020
\(23\) −4.56180 + 1.47987i −0.951200 + 0.308574i
\(24\) 0.159540 + 0.276332i 0.0325660 + 0.0564060i
\(25\) −1.24260 + 0.497462i −0.248520 + 0.0994924i
\(26\) −5.97051 0.570114i −1.17091 0.111809i
\(27\) 5.29175 + 1.55380i 1.01840 + 0.299029i
\(28\) 3.55171 + 4.26892i 0.671210 + 0.806749i
\(29\) 6.07219 1.78296i 1.12758 0.331087i 0.335822 0.941925i \(-0.390986\pi\)
0.791755 + 0.610839i \(0.209168\pi\)
\(30\) −5.48612 + 2.82829i −1.00162 + 0.516373i
\(31\) −0.110593 + 0.0105604i −0.0198632 + 0.00189670i −0.104983 0.994474i \(-0.533479\pi\)
0.0851197 + 0.996371i \(0.472873\pi\)
\(32\) 7.93252 + 1.52887i 1.40228 + 0.270268i
\(33\) 0.425057 + 8.92304i 0.0739929 + 1.55330i
\(34\) −1.97343 13.7255i −0.338440 2.35390i
\(35\) −4.04148 + 3.04912i −0.683134 + 0.515395i
\(36\) −0.815100 + 0.523833i −0.135850 + 0.0873055i
\(37\) 0.464468 + 1.34199i 0.0763581 + 0.220622i 0.976719 0.214521i \(-0.0688190\pi\)
−0.900361 + 0.435143i \(0.856698\pi\)
\(38\) 8.16854 0.780001i 1.32511 0.126533i
\(39\) −0.224578 + 4.71447i −0.0359613 + 0.754920i
\(40\) 0.0903485 0.372422i 0.0142854 0.0588850i
\(41\) −0.915016 1.05598i −0.142901 0.164917i 0.679787 0.733410i \(-0.262072\pi\)
−0.822688 + 0.568493i \(0.807527\pi\)
\(42\) 6.29332 5.76423i 0.971080 0.889440i
\(43\) 3.80331 + 8.32808i 0.579999 + 1.27002i 0.941300 + 0.337571i \(0.109605\pi\)
−0.361301 + 0.932449i \(0.617667\pi\)
\(44\) −9.25071 7.27484i −1.39460 1.09672i
\(45\) −0.441661 0.764979i −0.0658389 0.114036i
\(46\) −9.11184 3.35404i −1.34347 0.494526i
\(47\) 0.0620795 0.107525i 0.00905523 0.0156841i −0.861462 0.507822i \(-0.830451\pi\)
0.870518 + 0.492137i \(0.163784\pi\)
\(48\) 0.859883 5.98062i 0.124113 0.863228i
\(49\) 4.28574 5.53465i 0.612249 0.790665i
\(50\) −2.60009 0.763454i −0.367708 0.107969i
\(51\) −10.7150 + 2.06515i −1.50041 + 0.289179i
\(52\) −4.50010 4.29084i −0.624052 0.595032i
\(53\) 0.316381 6.64165i 0.0434583 0.912301i −0.866900 0.498481i \(-0.833891\pi\)
0.910359 0.413820i \(-0.135806\pi\)
\(54\) 6.47684 + 9.09545i 0.881386 + 1.23773i
\(55\) 7.02598 8.10841i 0.947383 1.09334i
\(56\) 0.0145951 + 0.529671i 0.00195035 + 0.0707803i
\(57\) −0.918986 6.39169i −0.121723 0.846600i
\(58\) 11.8948 + 4.76197i 1.56187 + 0.625278i
\(59\) 0.641051 + 0.330485i 0.0834578 + 0.0430255i 0.499450 0.866343i \(-0.333535\pi\)
−0.415992 + 0.909368i \(0.636566\pi\)
\(60\) −6.28326 1.21100i −0.811165 0.156339i
\(61\) 4.51012 + 6.33358i 0.577462 + 0.810932i 0.995223 0.0976251i \(-0.0311246\pi\)
−0.417761 + 0.908557i \(0.637185\pi\)
\(62\) −0.189218 0.121603i −0.0240307 0.0154436i
\(63\) 0.866850 + 0.860376i 0.109213 + 0.108397i
\(64\) 5.74367 + 6.62855i 0.717959 + 0.828569i
\(65\) 4.10258 3.91180i 0.508862 0.485199i
\(66\) −10.4908 + 14.7323i −1.29133 + 1.81342i
\(67\) 1.84799 0.739825i 0.225768 0.0903840i −0.256021 0.966671i \(-0.582411\pi\)
0.481789 + 0.876287i \(0.339987\pi\)
\(68\) 7.18790 12.4498i 0.871661 1.50976i
\(69\) −2.29526 + 7.28797i −0.276317 + 0.877368i
\(70\) −10.2477 0.205513i −1.22484 0.0245635i
\(71\) 1.07091 7.44837i 0.127094 0.883959i −0.822117 0.569319i \(-0.807207\pi\)
0.949211 0.314640i \(-0.101884\pi\)
\(72\) −0.0920321 0.00878800i −0.0108461 0.00103568i
\(73\) 1.87382 + 7.72399i 0.219314 + 0.904025i 0.969949 + 0.243308i \(0.0782326\pi\)
−0.750635 + 0.660717i \(0.770252\pi\)
\(74\) −0.940353 + 2.71697i −0.109314 + 0.315841i
\(75\) −0.502756 + 2.07239i −0.0580533 + 0.239299i
\(76\) 7.15655 + 4.59924i 0.820913 + 0.527568i
\(77\) −6.43184 + 13.3678i −0.732977 + 1.52340i
\(78\) −6.25762 + 7.22168i −0.708536 + 0.817694i
\(79\) −0.517206 10.8575i −0.0581902 1.22156i −0.819463 0.573132i \(-0.805728\pi\)
0.761273 0.648431i \(-0.224575\pi\)
\(80\) −5.70419 + 4.48582i −0.637748 + 0.501530i
\(81\) 5.81839 4.57563i 0.646488 0.508404i
\(82\) −0.134603 2.82567i −0.0148645 0.312044i
\(83\) −10.3922 + 11.9932i −1.14069 + 1.31642i −0.198976 + 0.980004i \(0.563762\pi\)
−0.941712 + 0.336420i \(0.890784\pi\)
\(84\) 8.82258 0.664250i 0.962622 0.0724756i
\(85\) 11.0254 + 7.08558i 1.19587 + 0.768539i
\(86\) −4.37001 + 18.0134i −0.471230 + 1.94244i
\(87\) 3.29776 9.52826i 0.353557 1.02154i
\(88\) −0.264739 1.09127i −0.0282212 0.116330i
\(89\) 3.18290 + 0.303930i 0.337387 + 0.0322165i 0.262375 0.964966i \(-0.415494\pi\)
0.0750121 + 0.997183i \(0.476100\pi\)
\(90\) 0.254509 1.77015i 0.0268277 0.186590i
\(91\) −4.05423 + 6.70783i −0.424999 + 0.703171i
\(92\) −5.27593 8.57265i −0.550054 0.893761i
\(93\) −0.0885011 + 0.153288i −0.00917713 + 0.0158953i
\(94\) 0.233364 0.0934247i 0.0240696 0.00963602i
\(95\) −4.49865 + 6.31747i −0.461552 + 0.648159i
\(96\) 9.31511 8.88194i 0.950719 0.906509i
\(97\) −4.16898 4.81126i −0.423296 0.488510i 0.503542 0.863971i \(-0.332030\pi\)
−0.926838 + 0.375461i \(0.877484\pi\)
\(98\) 13.7471 3.44434i 1.38867 0.347931i
\(99\) −2.17742 1.39934i −0.218839 0.140639i
\(100\) −1.62959 2.28844i −0.162959 0.228844i
\(101\) 7.67488 + 1.47921i 0.763680 + 0.147187i 0.556196 0.831051i \(-0.312260\pi\)
0.207484 + 0.978238i \(0.433473\pi\)
\(102\) −19.6368 10.1235i −1.94433 1.00237i
\(103\) −14.1411 5.66125i −1.39337 0.557820i −0.451037 0.892505i \(-0.648946\pi\)
−0.942330 + 0.334686i \(0.891370\pi\)
\(104\) −0.0844344 0.587254i −0.00827948 0.0575850i
\(105\) 0.222175 + 8.06293i 0.0216820 + 0.786862i
\(106\) 8.81560 10.1738i 0.856247 0.988162i
\(107\) 2.30662 + 3.23919i 0.222989 + 0.313145i 0.910881 0.412668i \(-0.135403\pi\)
−0.687892 + 0.725813i \(0.741464\pi\)
\(108\) −0.550802 + 11.5628i −0.0530010 + 1.11263i
\(109\) 0.582089 + 0.555021i 0.0557540 + 0.0531613i 0.717444 0.696616i \(-0.245312\pi\)
−0.661690 + 0.749778i \(0.730160\pi\)
\(110\) 21.3291 4.11085i 2.03365 0.391954i
\(111\) 2.17089 + 0.637431i 0.206052 + 0.0605022i
\(112\) 5.98281 8.05485i 0.565322 0.761112i
\(113\) 0.0511537 0.355782i 0.00481213 0.0334691i −0.987274 0.159029i \(-0.949164\pi\)
0.992086 + 0.125560i \(0.0400727\pi\)
\(114\) 6.53677 11.3220i 0.612225 1.06040i
\(115\) 8.03539 4.43256i 0.749304 0.413338i
\(116\) 6.64155 + 11.5035i 0.616653 + 1.06807i
\(117\) −1.07495 0.845348i −0.0993790 0.0781525i
\(118\) 0.606580 + 1.32823i 0.0558402 + 0.122273i
\(119\) −17.2812 5.45290i −1.58417 0.499866i
\(120\) −0.399834 0.461433i −0.0364997 0.0421229i
\(121\) 4.81843 19.8618i 0.438039 1.80562i
\(122\) −0.749022 + 15.7239i −0.0678132 + 1.42357i
\(123\) −2.21609 + 0.211611i −0.199818 + 0.0190803i
\(124\) −0.0762666 0.220358i −0.00684895 0.0197887i
\(125\) 10.2033 6.55729i 0.912615 0.586502i
\(126\) 0.302757 + 2.45410i 0.0269718 + 0.218628i
\(127\) 0.205728 + 1.43087i 0.0182554 + 0.126969i 0.996911 0.0785372i \(-0.0250249\pi\)
−0.978656 + 0.205506i \(0.934116\pi\)
\(128\) 0.0761417 + 1.59841i 0.00673004 + 0.141281i
\(129\) 14.3231 + 2.76055i 1.26108 + 0.243053i
\(130\) 11.4246 1.09092i 1.00201 0.0956800i
\(131\) −7.20388 + 3.71386i −0.629406 + 0.324481i −0.743246 0.669018i \(-0.766715\pi\)
0.113840 + 0.993499i \(0.463685\pi\)
\(132\) −17.9905 + 5.28248i −1.56587 + 0.459781i
\(133\) 3.70974 10.0612i 0.321675 0.872417i
\(134\) 3.86684 + 1.13541i 0.334044 + 0.0980843i
\(135\) −10.5055 1.00316i −0.904171 0.0863379i
\(136\) 1.27344 0.509808i 0.109196 0.0437157i
\(137\) 6.45222 + 11.1756i 0.551250 + 0.954793i 0.998185 + 0.0602264i \(0.0191823\pi\)
−0.446935 + 0.894567i \(0.647484\pi\)
\(138\) −12.7737 + 8.72572i −1.08737 + 0.742783i
\(139\) 3.06125 0.259652 0.129826 0.991537i \(-0.458558\pi\)
0.129826 + 0.991537i \(0.458558\pi\)
\(140\) −8.21933 6.73480i −0.694660 0.569195i
\(141\) −0.0821748 0.179938i −0.00692036 0.0151535i
\(142\) 11.0260 10.5133i 0.925282 0.882255i
\(143\) 5.43266 15.6966i 0.454302 1.31262i
\(144\) 1.26700 + 1.20809i 0.105584 + 0.100674i
\(145\) −10.7636 + 5.54900i −0.893864 + 0.460819i
\(146\) −6.68462 + 14.6373i −0.553223 + 1.21139i
\(147\) −3.22218 10.6770i −0.265761 0.880623i
\(148\) −2.50750 + 1.61147i −0.206115 + 0.132462i
\(149\) 14.3267 + 5.73555i 1.17369 + 0.469875i 0.874834 0.484423i \(-0.160971\pi\)
0.298856 + 0.954298i \(0.403395\pi\)
\(150\) −3.39372 + 2.66885i −0.277096 + 0.217911i
\(151\) −9.05411 4.66772i −0.736813 0.379853i 0.0486061 0.998818i \(-0.484522\pi\)
−0.785419 + 0.618965i \(0.787552\pi\)
\(152\) 0.265486 + 0.767070i 0.0215337 + 0.0622176i
\(153\) 1.31343 2.87601i 0.106184 0.232511i
\(154\) −26.9657 + 13.2243i −2.17296 + 1.06564i
\(155\) 0.203973 0.0598919i 0.0163835 0.00481064i
\(156\) −9.72750 + 1.87482i −0.778823 + 0.150106i
\(157\) −1.35811 5.59820i −0.108389 0.446785i 0.891593 0.452838i \(-0.149588\pi\)
−0.999982 + 0.00605289i \(0.998073\pi\)
\(158\) 12.7652 17.9262i 1.01554 1.42613i
\(159\) −8.32719 6.54857i −0.660389 0.519336i
\(160\) −15.4583 −1.22209
\(161\) −9.11244 + 8.82970i −0.718161 + 0.695877i
\(162\) 14.9860 1.17741
\(163\) −12.8296 10.0893i −1.00489 0.790256i −0.0270571 0.999634i \(-0.508614\pi\)
−0.977835 + 0.209378i \(0.932856\pi\)
\(164\) 1.70116 2.38895i 0.132839 0.186546i
\(165\) −4.02999 16.6118i −0.313734 1.29323i
\(166\) −31.5480 + 6.08038i −2.44860 + 0.471929i
\(167\) −15.4994 + 4.55103i −1.19938 + 0.352169i −0.819615 0.572914i \(-0.805813\pi\)
−0.379763 + 0.925084i \(0.623995\pi\)
\(168\) 0.700898 + 0.470561i 0.0540755 + 0.0363046i
\(169\) −1.75473 + 3.84232i −0.134979 + 0.295563i
\(170\) 8.67839 + 25.0746i 0.665602 + 1.92313i
\(171\) 1.66299 + 0.857332i 0.127172 + 0.0655618i
\(172\) −15.1052 + 11.8789i −1.15176 + 0.905756i
\(173\) −11.9326 4.77709i −0.907218 0.363195i −0.129332 0.991601i \(-0.541283\pi\)
−0.777885 + 0.628406i \(0.783708\pi\)
\(174\) 17.1729 11.0363i 1.30187 0.836663i
\(175\) −2.37224 + 2.62929i −0.179325 + 0.198755i
\(176\) −8.83325 + 19.3421i −0.665831 + 1.45797i
\(177\) 1.02134 0.526538i 0.0767687 0.0395770i
\(178\) 4.68498 + 4.46712i 0.351154 + 0.334825i
\(179\) −2.01106 + 5.81057i −0.150314 + 0.434302i −0.994870 0.101165i \(-0.967743\pi\)
0.844556 + 0.535467i \(0.179864\pi\)
\(180\) 1.34182 1.27942i 0.100013 0.0953625i
\(181\) −5.66611 12.4071i −0.421159 0.922209i −0.994679 0.103018i \(-0.967150\pi\)
0.573521 0.819191i \(-0.305577\pi\)
\(182\) −14.8469 + 5.60110i −1.10053 + 0.415181i
\(183\) 12.3878 0.915736
\(184\) 0.109930 0.954163i 0.00810414 0.0703418i
\(185\) −1.35868 2.35331i −0.0998925 0.173019i
\(186\) −0.332685 + 0.133187i −0.0243937 + 0.00976575i
\(187\) 38.2289 + 3.65042i 2.79557 + 0.266945i
\(188\) 0.250044 + 0.0734195i 0.0182363 + 0.00535467i
\(189\) 14.3805 2.47366i 1.04603 0.179933i
\(190\) −15.0657 + 4.42368i −1.09298 + 0.320927i
\(191\) 15.8121 8.15168i 1.14412 0.589835i 0.221353 0.975194i \(-0.428953\pi\)
0.922767 + 0.385359i \(0.125922\pi\)
\(192\) 13.9107 1.32831i 1.00392 0.0958623i
\(193\) 8.25625 + 1.59126i 0.594298 + 0.114541i 0.477526 0.878617i \(-0.341533\pi\)
0.116771 + 0.993159i \(0.462746\pi\)
\(194\) −0.613279 12.8743i −0.0440308 0.924321i
\(195\) −1.28531 8.93949i −0.0920426 0.640171i
\(196\) 13.4101 + 6.00311i 0.957864 + 0.428793i
\(197\) 1.12908 0.725619i 0.0804440 0.0516982i −0.499801 0.866141i \(-0.666593\pi\)
0.580245 + 0.814442i \(0.302957\pi\)
\(198\) −1.71391 4.95202i −0.121802 0.351925i
\(199\) −3.94835 + 0.377022i −0.279891 + 0.0267264i −0.234058 0.972223i \(-0.575200\pi\)
−0.0458335 + 0.998949i \(0.514594\pi\)
\(200\) 0.0127548 0.267757i 0.000901904 0.0189333i
\(201\) 0.747698 3.08205i 0.0527385 0.217391i
\(202\) 10.3628 + 11.9593i 0.729121 + 0.841451i
\(203\) 12.3473 11.3092i 0.866607 0.793751i
\(204\) −9.51463 20.8341i −0.666158 1.45868i
\(205\) 2.10166 + 1.65276i 0.146786 + 0.115434i
\(206\) −15.4194 26.7073i −1.07432 1.86078i
\(207\) −1.33432 1.76658i −0.0927418 0.122786i
\(208\) −5.61731 + 9.72947i −0.389490 + 0.674617i
\(209\) −3.23413 + 22.4939i −0.223710 + 1.55594i
\(210\) −9.73728 + 13.1096i −0.671936 + 0.904650i
\(211\) −13.9830 4.10577i −0.962626 0.282653i −0.237592 0.971365i \(-0.576358\pi\)
−0.725034 + 0.688713i \(0.758176\pi\)
\(212\) 13.7039 2.64121i 0.941188 0.181399i
\(213\) −8.67684 8.27335i −0.594527 0.566881i
\(214\) −0.383073 + 8.04170i −0.0261864 + 0.549719i
\(215\) −10.1620 14.2706i −0.693045 0.973245i
\(216\) −0.723317 + 0.834753i −0.0492155 + 0.0567977i
\(217\) −0.250409 + 0.153923i −0.0169989 + 0.0104490i
\(218\) 0.231737 + 1.61177i 0.0156952 + 0.109163i
\(219\) 11.7560 + 4.70638i 0.794394 + 0.318027i
\(220\) 20.0159 + 10.3189i 1.34947 + 0.695701i
\(221\) 19.9234 + 3.83992i 1.34019 + 0.258301i
\(222\) 2.65706 + 3.73132i 0.178330 + 0.250430i
\(223\) 7.36020 + 4.73011i 0.492876 + 0.316752i 0.763361 0.645972i \(-0.223548\pi\)
−0.270485 + 0.962724i \(0.587184\pi\)
\(224\) 20.6245 5.60927i 1.37804 0.374785i
\(225\) −0.404621 0.466958i −0.0269747 0.0311305i
\(226\) 0.526672 0.502181i 0.0350337 0.0334046i
\(227\) −13.4766 + 18.9252i −0.894471 + 1.25611i 0.0714955 + 0.997441i \(0.477223\pi\)
−0.965966 + 0.258668i \(0.916717\pi\)
\(228\) 12.5827 5.03737i 0.833312 0.333608i
\(229\) 6.69912 11.6032i 0.442690 0.766762i −0.555198 0.831718i \(-0.687358\pi\)
0.997888 + 0.0649565i \(0.0206909\pi\)
\(230\) 18.3351 + 3.00229i 1.20898 + 0.197965i
\(231\) 11.4047 + 20.7013i 0.750373 + 1.36204i
\(232\) −0.180375 + 1.25453i −0.0118422 + 0.0823642i
\(233\) −24.8503 2.37291i −1.62800 0.155455i −0.759280 0.650764i \(-0.774449\pi\)
−0.868716 + 0.495310i \(0.835055\pi\)
\(234\) −0.652737 2.69062i −0.0426708 0.175891i
\(235\) −0.0777047 + 0.224513i −0.00506889 + 0.0146456i
\(236\) −0.356891 + 1.47112i −0.0232316 + 0.0957621i
\(237\) −14.5689 9.36286i −0.946351 0.608183i
\(238\) −20.6774 30.3055i −1.34032 1.96442i
\(239\) 7.31124 8.43762i 0.472924 0.545784i −0.468298 0.883570i \(-0.655133\pi\)
0.941223 + 0.337786i \(0.109678\pi\)
\(240\) 0.550126 + 11.5486i 0.0355105 + 0.745456i
\(241\) −6.08724 + 4.78706i −0.392113 + 0.308361i −0.794679 0.607030i \(-0.792361\pi\)
0.402566 + 0.915391i \(0.368118\pi\)
\(242\) 32.5255 25.5783i 2.09082 1.64424i
\(243\) 0.226126 + 4.74696i 0.0145060 + 0.304518i
\(244\) −10.6872 + 12.3336i −0.684176 + 0.789581i
\(245\) −6.04833 + 11.9512i −0.386414 + 0.763537i
\(246\) −3.79157 2.43669i −0.241742 0.155358i
\(247\) −2.83072 + 11.6684i −0.180114 + 0.742441i
\(248\) 0.00727714 0.0210259i 0.000462099 0.00133515i
\(249\) 5.96078 + 24.5707i 0.377749 + 1.55710i
\(250\) 24.4444 + 2.33416i 1.54600 + 0.147625i
\(251\) −3.25223 + 22.6197i −0.205279 + 1.42775i 0.583022 + 0.812456i \(0.301870\pi\)
−0.788301 + 0.615290i \(0.789039\pi\)
\(252\) −1.32601 + 2.19391i −0.0835305 + 0.138203i
\(253\) 14.9763 22.3335i 0.941551 1.40409i
\(254\) −1.46335 + 2.53460i −0.0918188 + 0.159035i
\(255\) 19.3850 7.76056i 1.21393 0.485985i
\(256\) 8.29590 11.6500i 0.518494 0.728123i
\(257\) −7.55710 + 7.20568i −0.471399 + 0.449478i −0.888157 0.459539i \(-0.848015\pi\)
0.416759 + 0.909017i \(0.363166\pi\)
\(258\) 19.3393 + 22.3187i 1.20401 + 1.38950i
\(259\) 2.66670 + 2.64678i 0.165700 + 0.164463i
\(260\) 10.0092 + 6.43255i 0.620747 + 0.398930i
\(261\) 1.69458 + 2.37971i 0.104892 + 0.147300i
\(262\) −16.1124 3.10541i −0.995427 0.191853i
\(263\) 7.36688 + 3.79789i 0.454261 + 0.234188i 0.670144 0.742231i \(-0.266232\pi\)
−0.215882 + 0.976419i \(0.569263\pi\)
\(264\) −1.66091 0.664930i −0.102222 0.0409236i
\(265\) 1.81071 + 12.5938i 0.111231 + 0.773630i
\(266\) 18.4955 11.3689i 1.13403 0.697071i
\(267\) 3.33596 3.84990i 0.204157 0.235610i
\(268\) 2.42352 + 3.40336i 0.148040 + 0.207893i
\(269\) −0.112529 + 2.36228i −0.00686104 + 0.144031i 0.992837 + 0.119474i \(0.0381207\pi\)
−0.999698 + 0.0245573i \(0.992182\pi\)
\(270\) −15.4633 14.7442i −0.941067 0.897306i
\(271\) −20.9781 + 4.04320i −1.27433 + 0.245607i −0.781163 0.624327i \(-0.785373\pi\)
−0.493168 + 0.869934i \(0.664161\pi\)
\(272\) −24.9223 7.31786i −1.51114 0.443710i
\(273\) 4.95869 + 11.4607i 0.300113 + 0.693635i
\(274\) −3.71812 + 25.8601i −0.224620 + 1.56227i
\(275\) 3.75239 6.49934i 0.226278 0.391925i
\(276\) −16.0015 1.07539i −0.963174 0.0647311i
\(277\) −10.3753 17.9705i −0.623391 1.07974i −0.988850 0.148917i \(-0.952421\pi\)
0.365459 0.930828i \(-0.380912\pi\)
\(278\) 4.87175 + 3.83119i 0.292188 + 0.229779i
\(279\) −0.0213045 0.0466503i −0.00127547 0.00279288i
\(280\) −0.219235 0.989930i −0.0131018 0.0591596i
\(281\) −10.2629 11.8441i −0.612235 0.706557i 0.361978 0.932187i \(-0.382102\pi\)
−0.974213 + 0.225630i \(0.927556\pi\)
\(282\) 0.0944190 0.389200i 0.00562257 0.0231765i
\(283\) −0.208126 + 4.36910i −0.0123718 + 0.259716i 0.984204 + 0.177036i \(0.0566509\pi\)
−0.996576 + 0.0826799i \(0.973652\pi\)
\(284\) 15.7228 1.50134i 0.932976 0.0890884i
\(285\) 4.04136 + 11.6767i 0.239390 + 0.691671i
\(286\) 28.2902 18.1810i 1.67283 1.07507i
\(287\) −3.40377 1.44251i −0.200918 0.0851485i
\(288\) 0.530725 + 3.69127i 0.0312733 + 0.217510i
\(289\) 1.42321 + 29.8768i 0.0837180 + 1.75746i
\(290\) −24.0740 4.63989i −1.41368 0.272464i
\(291\) −10.0969 + 0.964137i −0.591891 + 0.0565187i
\(292\) −14.8278 + 7.64427i −0.867733 + 0.447347i
\(293\) 30.4044 8.92753i 1.77624 0.521552i 0.781495 0.623911i \(-0.214457\pi\)
0.994747 + 0.102359i \(0.0326392\pi\)
\(294\) 8.23451 21.0242i 0.480247 1.22616i
\(295\) −1.32417 0.388812i −0.0770962 0.0226375i
\(296\) −0.283119 0.0270346i −0.0164560 0.00157135i
\(297\) −28.7081 + 11.4930i −1.66582 + 0.666892i
\(298\) 15.6218 + 27.0578i 0.904947 + 1.56741i
\(299\) 8.99851 10.9943i 0.520397 0.635815i
\(300\) −4.47595 −0.258419
\(301\) 18.7365 + 15.3524i 1.07995 + 0.884900i
\(302\) −8.56725 18.7597i −0.492990 1.07950i
\(303\) 9.01257 8.59347i 0.517759 0.493682i
\(304\) 5.02724 14.5253i 0.288332 0.833081i
\(305\) −10.7678 10.2671i −0.616563 0.587892i
\(306\) 5.68958 2.93318i 0.325252 0.167679i
\(307\) −6.56192 + 14.3686i −0.374509 + 0.820060i 0.624722 + 0.780847i \(0.285212\pi\)
−0.999231 + 0.0392127i \(0.987515\pi\)
\(308\) −30.4497 6.50449i −1.73503 0.370628i
\(309\) −20.4159 + 13.1205i −1.16142 + 0.746400i
\(310\) 0.399564 + 0.159961i 0.0226937 + 0.00908519i
\(311\) 19.9657 15.7012i 1.13215 0.890335i 0.137186 0.990545i \(-0.456194\pi\)
0.994966 + 0.100210i \(0.0319516\pi\)
\(312\) −0.840173 0.433139i −0.0475654 0.0245217i
\(313\) 1.27123 + 3.67298i 0.0718542 + 0.207609i 0.975209 0.221284i \(-0.0710248\pi\)
−0.903355 + 0.428893i \(0.858904\pi\)
\(314\) 4.84489 10.6088i 0.273413 0.598690i
\(315\) −1.94032 1.30267i −0.109325 0.0733972i
\(316\) 21.8907 6.42769i 1.23145 0.361586i
\(317\) −30.5424 + 5.88657i −1.71543 + 0.330623i −0.949848 0.312710i \(-0.898763\pi\)
−0.765586 + 0.643333i \(0.777551\pi\)
\(318\) −5.05649 20.8431i −0.283554 1.16883i
\(319\) −20.5826 + 28.9043i −1.15241 + 1.61833i
\(320\) −13.1924 10.3746i −0.737477 0.579958i
\(321\) 6.33553 0.353615
\(322\) −25.5522 + 2.64749i −1.42397 + 0.147539i
\(323\) −27.7598 −1.54460
\(324\) 12.2123 + 9.60389i 0.678463 + 0.533549i
\(325\) 2.30001 3.22991i 0.127581 0.179163i
\(326\) −7.79048 32.1128i −0.431475 1.77856i
\(327\) 1.25825 0.242509i 0.0695816 0.0134108i
\(328\) 0.268499 0.0788386i 0.0148254 0.00435313i
\(329\) 0.0222062 0.327743i 0.00122427 0.0180690i
\(330\) 14.3765 31.4801i 0.791400 1.73292i
\(331\) 7.00749 + 20.2468i 0.385166 + 1.11286i 0.956396 + 0.292074i \(0.0943455\pi\)
−0.571229 + 0.820790i \(0.693533\pi\)
\(332\) −29.6056 15.2628i −1.62482 0.837653i
\(333\) −0.515297 + 0.405234i −0.0282381 + 0.0222067i
\(334\) −30.3618 12.1550i −1.66132 0.665094i
\(335\) −3.20433 + 2.05930i −0.175071 + 0.112512i
\(336\) −4.92454 15.2085i −0.268656 0.829693i
\(337\) 8.98656 19.6778i 0.489529 1.07192i −0.490203 0.871608i \(-0.663077\pi\)
0.979732 0.200311i \(-0.0641954\pi\)
\(338\) −7.60123 + 3.91871i −0.413453 + 0.213150i
\(339\) −0.414461 0.395188i −0.0225104 0.0214637i
\(340\) −8.99706 + 25.9953i −0.487934 + 1.40979i
\(341\) 0.450824 0.429859i 0.0244135 0.0232782i
\(342\) 1.57357 + 3.44564i 0.0850889 + 0.186319i
\(343\) 3.73303 18.1401i 0.201565 0.979475i
\(344\) −1.83359 −0.0988603
\(345\) 1.67341 14.5248i 0.0900934 0.781988i
\(346\) −13.0113 22.5362i −0.699489 1.21155i
\(347\) 1.41173 0.565173i 0.0757858 0.0303401i −0.333460 0.942764i \(-0.608216\pi\)
0.409246 + 0.912424i \(0.365792\pi\)
\(348\) 21.0672 + 2.01167i 1.12932 + 0.107837i
\(349\) 29.0254 + 8.52263i 1.55369 + 0.456206i 0.942202 0.335044i \(-0.108751\pi\)
0.611492 + 0.791250i \(0.290570\pi\)
\(350\) −7.06583 + 1.21543i −0.377684 + 0.0649673i
\(351\) −15.6764 + 4.60301i −0.836746 + 0.245691i
\(352\) −40.2605 + 20.7557i −2.14589 + 1.10629i
\(353\) 20.7472 1.98112i 1.10426 0.105444i 0.473036 0.881043i \(-0.343158\pi\)
0.631226 + 0.775599i \(0.282552\pi\)
\(354\) 2.28436 + 0.440274i 0.121412 + 0.0234003i
\(355\) 0.685137 + 14.3828i 0.0363633 + 0.763359i
\(356\) 0.955081 + 6.64273i 0.0506192 + 0.352064i
\(357\) −23.0475 + 17.3883i −1.21980 + 0.920286i
\(358\) −10.4724 + 6.73023i −0.553486 + 0.355704i
\(359\) 2.58912 + 7.48077i 0.136649 + 0.394820i 0.992476 0.122442i \(-0.0390725\pi\)
−0.855827 + 0.517262i \(0.826951\pi\)
\(360\) 0.176104 0.0168159i 0.00928151 0.000886277i
\(361\) −0.122422 + 2.56996i −0.00644328 + 0.135261i
\(362\) 6.51037 26.8361i 0.342178 1.41048i
\(363\) −21.3238 24.6090i −1.11921 1.29164i
\(364\) −15.6885 4.95034i −0.822302 0.259468i
\(365\) −6.31790 13.8343i −0.330694 0.724119i
\(366\) 19.7143 + 15.5035i 1.03049 + 0.810382i
\(367\) 10.1503 + 17.5808i 0.529840 + 0.917710i 0.999394 + 0.0348062i \(0.0110814\pi\)
−0.469554 + 0.882904i \(0.655585\pi\)
\(368\) −12.8052 + 12.9157i −0.667518 + 0.673276i
\(369\) 0.322506 0.558597i 0.0167890 0.0290794i
\(370\) 0.782949 5.44553i 0.0407036 0.283100i
\(371\) −6.98570 16.1456i −0.362679 0.838240i
\(372\) −0.356465 0.104667i −0.0184818 0.00542675i
\(373\) −6.68559 + 1.28854i −0.346167 + 0.0667182i −0.359371 0.933195i \(-0.617009\pi\)
0.0132046 + 0.999913i \(0.495797\pi\)
\(374\) 56.2700 + 53.6533i 2.90965 + 2.77435i
\(375\) 0.919466 19.3020i 0.0474810 0.996749i
\(376\) 0.0144235 + 0.0202550i 0.000743836 + 0.00104457i
\(377\) −12.2772 + 14.1687i −0.632309 + 0.729723i
\(378\) 25.9814 + 14.0607i 1.33634 + 0.723207i
\(379\) 4.95479 + 34.4613i 0.254510 + 1.77016i 0.570405 + 0.821364i \(0.306786\pi\)
−0.315895 + 0.948794i \(0.602305\pi\)
\(380\) −15.1122 6.05001i −0.775240 0.310359i
\(381\) 2.04712 + 1.05536i 0.104877 + 0.0540679i
\(382\) 35.3656 + 6.81617i 1.80946 + 0.348746i
\(383\) −10.5903 14.8720i −0.541138 0.759922i 0.449961 0.893048i \(-0.351438\pi\)
−0.991099 + 0.133126i \(0.957498\pi\)
\(384\) 2.14479 + 1.37837i 0.109451 + 0.0703399i
\(385\) 7.24406 27.4463i 0.369192 1.39879i
\(386\) 11.1477 + 12.8652i 0.567404 + 0.654820i
\(387\) −3.05877 + 2.91653i −0.155486 + 0.148255i
\(388\) 7.75082 10.8845i 0.393488 0.552577i
\(389\) 20.6170 8.25379i 1.04532 0.418484i 0.215495 0.976505i \(-0.430863\pi\)
0.829827 + 0.558021i \(0.188439\pi\)
\(390\) 9.14241 15.8351i 0.462944 0.801843i
\(391\) 29.6071 + 14.2254i 1.49730 + 0.719411i
\(392\) 0.651715 + 1.24122i 0.0329166 + 0.0626909i
\(393\) −1.83769 + 12.7814i −0.0926994 + 0.644739i
\(394\) 2.70498 + 0.258294i 0.136275 + 0.0130127i
\(395\) 4.90366 + 20.2132i 0.246730 + 1.01703i
\(396\) 1.77684 5.13385i 0.0892898 0.257986i
\(397\) 0.184126 0.758978i 0.00924102 0.0380920i −0.967004 0.254760i \(-0.918004\pi\)
0.976245 + 0.216668i \(0.0695188\pi\)
\(398\) −6.75536 4.34140i −0.338615 0.217615i
\(399\) −9.62908 14.1127i −0.482057 0.706519i
\(400\) −3.32408 + 3.83619i −0.166204 + 0.191810i
\(401\) −0.639027 13.4148i −0.0319115 0.669905i −0.956989 0.290125i \(-0.906303\pi\)
0.925077 0.379779i \(-0.124000\pi\)
\(402\) 5.04713 3.96911i 0.251728 0.197961i
\(403\) 0.258702 0.203445i 0.0128869 0.0101343i
\(404\) 0.780602 + 16.3869i 0.0388364 + 0.815277i
\(405\) −9.27536 + 10.7043i −0.460896 + 0.531903i
\(406\) 33.8034 2.54505i 1.67763 0.126309i
\(407\) −6.69841 4.30481i −0.332028 0.213381i
\(408\) 0.515233 2.12382i 0.0255079 0.105145i
\(409\) 2.91978 8.43615i 0.144374 0.417141i −0.849510 0.527573i \(-0.823102\pi\)
0.993884 + 0.110432i \(0.0352234\pi\)
\(410\) 1.27618 + 5.26050i 0.0630262 + 0.259798i
\(411\) 20.4666 + 1.95432i 1.00954 + 0.0963997i
\(412\) 4.54999 31.6458i 0.224162 1.55908i
\(413\) 1.90780 + 0.0382600i 0.0938767 + 0.00188265i
\(414\) 0.0874201 4.48130i 0.00429646 0.220244i
\(415\) 15.1830 26.2977i 0.745305 1.29091i
\(416\) −22.2177 + 8.89461i −1.08931 + 0.436094i
\(417\) 2.82909 3.97290i 0.138541 0.194554i
\(418\) −33.2983 + 31.7498i −1.62867 + 1.55294i
\(419\) 7.49076 + 8.64480i 0.365948 + 0.422326i 0.908624 0.417616i \(-0.137134\pi\)
−0.542676 + 0.839942i \(0.682589\pi\)
\(420\) −16.3365 + 4.44304i −0.797138 + 0.216798i
\(421\) 2.49749 + 1.60504i 0.121720 + 0.0782248i 0.600084 0.799937i \(-0.295134\pi\)
−0.478364 + 0.878162i \(0.658770\pi\)
\(422\) −17.1144 24.0339i −0.833117 1.16995i
\(423\) 0.0562790 + 0.0108469i 0.00273638 + 0.000527394i
\(424\) 1.18362 + 0.610198i 0.0574816 + 0.0296338i
\(425\) 8.51074 + 3.40719i 0.412831 + 0.165273i
\(426\) −3.45436 24.0256i −0.167364 1.16404i
\(427\) 18.0920 + 9.79114i 0.875535 + 0.473827i
\(428\) −5.46576 + 6.30782i −0.264197 + 0.304900i
\(429\) −15.3505 21.5568i −0.741130 1.04077i
\(430\) 1.68767 35.4285i 0.0813865 1.70851i
\(431\) −2.48743 2.37176i −0.119816 0.114244i 0.627803 0.778372i \(-0.283954\pi\)
−0.747619 + 0.664128i \(0.768803\pi\)
\(432\) 20.5376 3.95829i 0.988114 0.190443i
\(433\) −3.08672 0.906344i −0.148338 0.0435561i 0.206720 0.978400i \(-0.433721\pi\)
−0.355059 + 0.934844i \(0.615539\pi\)
\(434\) −0.591144 0.0684336i −0.0283758 0.00328492i
\(435\) −2.74576 + 19.0972i −0.131649 + 0.915639i
\(436\) −0.844066 + 1.46197i −0.0404234 + 0.0700154i
\(437\) −9.24214 + 17.0999i −0.442112 + 0.817999i
\(438\) 12.8187 + 22.2026i 0.612499 + 1.06088i
\(439\) −9.76249 7.67731i −0.465938 0.366418i 0.357416 0.933945i \(-0.383658\pi\)
−0.823355 + 0.567527i \(0.807900\pi\)
\(440\) 0.892611 + 1.95455i 0.0425536 + 0.0931793i
\(441\) 3.06148 + 1.03396i 0.145785 + 0.0492360i
\(442\) 26.9009 + 31.0453i 1.27955 + 1.47667i
\(443\) −2.07325 + 8.54606i −0.0985031 + 0.406035i −0.999621 0.0275393i \(-0.991233\pi\)
0.901118 + 0.433575i \(0.142748\pi\)
\(444\) −0.225961 + 4.74351i −0.0107236 + 0.225117i
\(445\) −6.09051 + 0.581573i −0.288718 + 0.0275692i
\(446\) 5.79343 + 16.7390i 0.274327 + 0.792615i
\(447\) 20.6838 13.2927i 0.978312 0.628723i
\(448\) 21.3659 + 9.05480i 1.00944 + 0.427799i
\(449\) −0.0203506 0.141541i −0.000960403 0.00667975i 0.989336 0.145654i \(-0.0465286\pi\)
−0.990296 + 0.138974i \(0.955620\pi\)
\(450\) −0.0595218 1.24952i −0.00280589 0.0589028i
\(451\) 7.69284 + 1.48267i 0.362242 + 0.0698163i
\(452\) 0.751020 0.0717137i 0.0353250 0.00337313i
\(453\) −14.4253 + 7.43674i −0.677758 + 0.349408i
\(454\) −45.1321 + 13.2520i −2.11815 + 0.621946i
\(455\) 5.18848 14.0717i 0.243240 0.659692i
\(456\) 1.24086 + 0.364349i 0.0581086 + 0.0170622i
\(457\) −0.0780704 0.00745481i −0.00365198 0.000348722i 0.0932299 0.995645i \(-0.470281\pi\)
−0.0968819 + 0.995296i \(0.530887\pi\)
\(458\) 25.1827 10.0816i 1.17671 0.471084i
\(459\) −18.8870 32.7133i −0.881571 1.52693i
\(460\) 13.0176 + 14.1968i 0.606947 + 0.661930i
\(461\) −10.7460 −0.500493 −0.250247 0.968182i \(-0.580512\pi\)
−0.250247 + 0.968182i \(0.580512\pi\)
\(462\) −7.75817 + 47.2177i −0.360943 + 2.19676i
\(463\) 11.0977 + 24.3006i 0.515755 + 1.12935i 0.971022 + 0.238991i \(0.0768166\pi\)
−0.455267 + 0.890355i \(0.650456\pi\)
\(464\) 17.3697 16.5620i 0.806370 0.768873i
\(465\) 0.110776 0.320067i 0.00513713 0.0148428i
\(466\) −36.5777 34.8767i −1.69443 1.61563i
\(467\) 29.6600 15.2908i 1.37250 0.707574i 0.395036 0.918666i \(-0.370732\pi\)
0.977466 + 0.211091i \(0.0677017\pi\)
\(468\) 1.19238 2.61094i 0.0551177 0.120691i
\(469\) 3.52799 3.91027i 0.162908 0.180559i
\(470\) −0.404642 + 0.260048i −0.0186647 + 0.0119951i
\(471\) −8.52049 3.41109i −0.392604 0.157175i
\(472\) −0.113539 + 0.0892881i −0.00522606 + 0.00410982i
\(473\) −45.6276 23.5227i −2.09796 1.08157i
\(474\) −11.4676 33.1334i −0.526724 1.52187i
\(475\) −2.25359 + 4.93467i −0.103402 + 0.226418i
\(476\) 2.57115 37.9478i 0.117849 1.73933i
\(477\) 2.94509 0.864756i 0.134846 0.0395945i
\(478\) 22.1951 4.27775i 1.01518 0.195660i
\(479\) 7.76526 + 32.0088i 0.354804 + 1.46252i 0.817461 + 0.575984i \(0.195381\pi\)
−0.462657 + 0.886537i \(0.653104\pi\)
\(480\) −14.2860 + 20.0619i −0.652063 + 0.915695i
\(481\) −3.30687 2.60055i −0.150780 0.118575i
\(482\) −15.6784 −0.714134
\(483\) 3.03785 + 19.9862i 0.138227 + 0.909406i
\(484\) 42.8976 1.94989
\(485\) 9.57555 + 7.53030i 0.434803 + 0.341933i
\(486\) −5.58102 + 7.83744i −0.253160 + 0.355513i
\(487\) 3.77092 + 15.5439i 0.170877 + 0.704363i 0.991190 + 0.132448i \(0.0422839\pi\)
−0.820313 + 0.571914i \(0.806201\pi\)
\(488\) −1.52904 + 0.294699i −0.0692165 + 0.0133404i
\(489\) −24.9506 + 7.32616i −1.12831 + 0.331300i
\(490\) −24.5826 + 11.4500i −1.11053 + 0.517257i
\(491\) 15.5338 34.0144i 0.701033 1.53505i −0.137682 0.990477i \(-0.543965\pi\)
0.838715 0.544571i \(-0.183308\pi\)
\(492\) −1.52824 4.41556i −0.0688984 0.199069i
\(493\) −38.5266 19.8618i −1.73515 0.894532i
\(494\) −19.1080 + 15.0267i −0.859709 + 0.676082i
\(495\) 4.59797 + 1.84075i 0.206663 + 0.0827356i
\(496\) −0.354437 + 0.227783i −0.0159147 + 0.0102277i
\(497\) −6.13312 18.9410i −0.275108 0.849619i
\(498\) −21.2643 + 46.5624i −0.952878 + 2.08651i
\(499\) 3.06776 1.58154i 0.137332 0.0707995i −0.388191 0.921579i \(-0.626900\pi\)
0.525523 + 0.850779i \(0.323870\pi\)
\(500\) 18.4243 + 17.5675i 0.823959 + 0.785644i
\(501\) −8.41761 + 24.3211i −0.376071 + 1.08659i
\(502\) −33.4846 + 31.9275i −1.49449 + 1.42499i
\(503\) −14.0770 30.8243i −0.627661 1.37439i −0.909814 0.415017i \(-0.863776\pi\)
0.282152 0.959370i \(-0.408952\pi\)
\(504\) −0.228857 + 0.0863379i −0.0101941 + 0.00384580i
\(505\) −14.9562 −0.665544
\(506\) 51.7843 16.7991i 2.30209 0.746811i
\(507\) 3.36493 + 5.82823i 0.149442 + 0.258841i
\(508\) −2.81683 + 1.12769i −0.124976 + 0.0500330i
\(509\) 3.06283 + 0.292465i 0.135758 + 0.0129633i 0.162714 0.986673i \(-0.447975\pi\)
−0.0269560 + 0.999637i \(0.508581\pi\)
\(510\) 40.5622 + 11.9101i 1.79612 + 0.527389i
\(511\) 13.4493 + 16.1652i 0.594964 + 0.715107i
\(512\) 30.8532 9.05932i 1.36353 0.400369i
\(513\) 19.8683 10.2428i 0.877205 0.452231i
\(514\) −21.0446 + 2.00951i −0.928236 + 0.0886358i
\(515\) 28.6203 + 5.51612i 1.26116 + 0.243069i
\(516\) 1.45678 + 30.5817i 0.0641313 + 1.34628i
\(517\) 0.0990731 + 0.689068i 0.00435723 + 0.0303052i
\(518\) 0.931375 + 7.54956i 0.0409223 + 0.331709i
\(519\) −17.2274 + 11.0714i −0.756198 + 0.485979i
\(520\) 0.371311 + 1.07283i 0.0162831 + 0.0470469i
\(521\) 21.3432 2.03802i 0.935061 0.0892875i 0.383610 0.923495i \(-0.374681\pi\)
0.551451 + 0.834208i \(0.314075\pi\)
\(522\) −0.281429 + 5.90791i −0.0123178 + 0.258582i
\(523\) 1.84139 7.59031i 0.0805183 0.331901i −0.917278 0.398247i \(-0.869619\pi\)
0.997797 + 0.0663456i \(0.0211340\pi\)
\(524\) −11.1401 12.8564i −0.486659 0.561634i
\(525\) 1.21996 + 5.50860i 0.0532436 + 0.240415i
\(526\) 6.97075 + 15.2638i 0.303939 + 0.665534i
\(527\) 0.598120 + 0.470367i 0.0260545 + 0.0204895i
\(528\) 16.9389 + 29.3391i 0.737173 + 1.27682i
\(529\) 18.6200 13.5017i 0.809564 0.587032i
\(530\) −12.8796 + 22.3082i −0.559456 + 0.969006i
\(531\) −0.0473816 + 0.329546i −0.00205619 + 0.0143011i
\(532\) 22.3581 + 2.58828i 0.969347 + 0.112216i
\(533\) 3.97163 + 1.16618i 0.172030 + 0.0505127i
\(534\) 10.1271 1.95185i 0.438244 0.0844646i
\(535\) −5.50700 5.25091i −0.238088 0.227017i
\(536\) −0.0189690 + 0.398208i −0.000819335 + 0.0172000i
\(537\) 5.68244 + 7.97988i 0.245216 + 0.344357i
\(538\) −3.13551 + 3.61857i −0.135181 + 0.156007i
\(539\) 0.294217 + 39.2476i 0.0126728 + 1.69051i
\(540\) −3.15235 21.9251i −0.135656 0.943506i
\(541\) −23.2399 9.30386i −0.999162 0.400004i −0.186320 0.982489i \(-0.559656\pi\)
−0.812842 + 0.582485i \(0.802081\pi\)
\(542\) −38.4453 19.8199i −1.65137 0.851338i
\(543\) −21.3384 4.11263i −0.915716 0.176490i
\(544\) −32.0950 45.0711i −1.37606 1.93241i
\(545\) −1.29470 0.832051i −0.0554587 0.0356412i
\(546\) −6.45185 + 24.4448i −0.276114 + 1.04614i
\(547\) −23.0844 26.6408i −0.987016 1.13908i −0.990281 0.139083i \(-0.955585\pi\)
0.00326446 0.999995i \(-0.498961\pi\)
\(548\) −19.6026 + 18.6910i −0.837382 + 0.798442i
\(549\) −2.08198 + 2.92373i −0.0888567 + 0.124782i
\(550\) 14.1057 5.64705i 0.601467 0.240791i
\(551\) 12.8249 22.2134i 0.546359 0.946322i
\(552\) −1.13673 1.02447i −0.0483822 0.0436043i
\(553\) −13.8771 25.1891i −0.590116 1.07115i
\(554\) 5.97882 41.5836i 0.254016 1.76672i
\(555\) −4.30979 0.411535i −0.182940 0.0174687i
\(556\) 1.51483 + 6.24420i 0.0642429 + 0.264813i
\(557\) 3.11499 9.00016i 0.131986 0.381349i −0.859571 0.511016i \(-0.829269\pi\)
0.991558 + 0.129666i \(0.0413906\pi\)
\(558\) 0.0244789 0.100903i 0.00103627 0.00427158i
\(559\) −22.8167 14.6634i −0.965045 0.620197i
\(560\) −8.32435 + 17.3011i −0.351768 + 0.731104i
\(561\) 40.0673 46.2401i 1.69164 1.95226i
\(562\) −1.50973 31.6931i −0.0636841 1.33689i
\(563\) 13.5824 10.6813i 0.572428 0.450162i −0.289511 0.957175i \(-0.593493\pi\)
0.861939 + 0.507012i \(0.169250\pi\)
\(564\) 0.326366 0.256657i 0.0137425 0.0108072i
\(565\) 0.0327265 + 0.687014i 0.00137681 + 0.0289029i
\(566\) −5.79920 + 6.69263i −0.243758 + 0.281312i
\(567\) 8.49101 17.6475i 0.356589 0.741124i
\(568\) 1.26781 + 0.814771i 0.0531960 + 0.0341870i
\(569\) 1.14372 4.71450i 0.0479474 0.197642i −0.942800 0.333358i \(-0.891818\pi\)
0.990748 + 0.135716i \(0.0433334\pi\)
\(570\) −8.18205 + 23.6405i −0.342709 + 0.990191i
\(571\) −1.14270 4.71026i −0.0478204 0.197118i 0.942891 0.333103i \(-0.108096\pi\)
−0.990711 + 0.135984i \(0.956580\pi\)
\(572\) 34.7056 + 3.31398i 1.45111 + 0.138565i
\(573\) 4.03362 28.0544i 0.168507 1.17199i
\(574\) −3.61154 6.55551i −0.150743 0.273622i
\(575\) 4.93231 4.10821i 0.205692 0.171324i
\(576\) −2.02441 + 3.50638i −0.0843505 + 0.146099i
\(577\) 4.17927 1.67313i 0.173985 0.0696532i −0.283035 0.959110i \(-0.591341\pi\)
0.457020 + 0.889457i \(0.348917\pi\)
\(578\) −35.1262 + 49.3279i −1.46106 + 2.05177i
\(579\) 9.69526 9.24442i 0.402921 0.384185i
\(580\) −16.6448 19.2092i −0.691139 0.797617i
\(581\) −10.7147 + 40.5960i −0.444522 + 1.68420i
\(582\) −17.2751 11.1020i −0.716076 0.460194i
\(583\) 21.6255 + 30.3688i 0.895637 + 1.25775i
\(584\) −1.56301 0.301246i −0.0646778 0.0124656i
\(585\) 2.32588 + 1.19908i 0.0961634 + 0.0495757i
\(586\) 59.5592 + 23.8439i 2.46037 + 0.984984i
\(587\) 4.44775 + 30.9348i 0.183578 + 1.27682i 0.848216 + 0.529650i \(0.177677\pi\)
−0.664638 + 0.747166i \(0.731414\pi\)
\(588\) 20.1840 11.8558i 0.832373 0.488927i
\(589\) −0.294870 + 0.340298i −0.0121499 + 0.0140217i
\(590\) −1.62072 2.27598i −0.0667239 0.0937006i
\(591\) 0.101747 2.13592i 0.00418529 0.0878601i
\(592\) 3.89770 + 3.71645i 0.160194 + 0.152745i
\(593\) 40.7987 7.86331i 1.67540 0.322907i 0.738965 0.673743i \(-0.235315\pi\)
0.936437 + 0.350836i \(0.114103\pi\)
\(594\) −60.0705 17.6383i −2.46472 0.723708i
\(595\) 34.4449 + 3.98750i 1.41210 + 0.163472i
\(596\) −4.60970 + 32.0612i −0.188821 + 1.31328i
\(597\) −3.15962 + 5.47262i −0.129315 + 0.223979i
\(598\) 28.0799 6.23483i 1.14827 0.254961i
\(599\) 5.79228 + 10.0325i 0.236666 + 0.409918i 0.959756 0.280837i \(-0.0906119\pi\)
−0.723089 + 0.690754i \(0.757279\pi\)
\(600\) −0.335709 0.264005i −0.0137053 0.0107779i
\(601\) −17.8612 39.1105i −0.728572 1.59535i −0.801487 0.598013i \(-0.795957\pi\)
0.0729142 0.997338i \(-0.476770\pi\)
\(602\) 10.6040 + 47.8813i 0.432188 + 1.95149i
\(603\) 0.601751 + 0.694458i 0.0245052 + 0.0282805i
\(604\) 5.04067 20.7779i 0.205102 0.845442i
\(605\) −1.86084 + 39.0639i −0.0756541 + 1.58817i
\(606\) 25.0977 2.39654i 1.01952 0.0973527i
\(607\) −5.73746 16.5773i −0.232876 0.672852i −0.999526 0.0307861i \(-0.990199\pi\)
0.766650 0.642065i \(-0.221922\pi\)
\(608\) 27.5447 17.7019i 1.11709 0.717908i
\(609\) −3.26628 26.4759i −0.132356 1.07286i
\(610\) −4.28680 29.8154i −0.173568 1.20719i
\(611\) 0.0175012 + 0.367395i 0.000708022 + 0.0148632i
\(612\) 6.51628 + 1.25591i 0.263405 + 0.0507672i
\(613\) −18.0468 + 1.72326i −0.728904 + 0.0696019i −0.452908 0.891557i \(-0.649614\pi\)
−0.275996 + 0.961159i \(0.589007\pi\)
\(614\) −28.4253 + 14.6543i −1.14715 + 0.591398i
\(615\) 4.08724 1.20012i 0.164813 0.0483936i
\(616\) −1.90016 2.28387i −0.0765597 0.0920196i
\(617\) 17.4645 + 5.12803i 0.703093 + 0.206447i 0.613688 0.789549i \(-0.289685\pi\)
0.0894048 + 0.995995i \(0.471504\pi\)
\(618\) −48.9109 4.67042i −1.96748 0.187872i
\(619\) 3.13792 1.25623i 0.126124 0.0504923i −0.307742 0.951470i \(-0.599573\pi\)
0.433866 + 0.900977i \(0.357149\pi\)
\(620\) 0.223099 + 0.386419i 0.00895987 + 0.0155189i
\(621\) −26.4393 + 0.742998i −1.06097 + 0.0298155i
\(622\) 51.4243 2.06193
\(623\) 7.91496 2.98597i 0.317106 0.119630i
\(624\) 7.43564 + 16.2818i 0.297664 + 0.651793i
\(625\) −11.9533 + 11.3974i −0.478130 + 0.455896i
\(626\) −2.57371 + 7.43624i −0.102866 + 0.297212i
\(627\) 26.2038 + 24.9853i 1.04648 + 0.997817i
\(628\) 10.7469 5.54042i 0.428849 0.221087i
\(629\) 4.04051 8.84748i 0.161106 0.352772i
\(630\) −1.45757 4.50144i −0.0580711 0.179342i
\(631\) −7.93823 + 5.10159i −0.316016 + 0.203091i −0.689027 0.724736i \(-0.741962\pi\)
0.373011 + 0.927827i \(0.378325\pi\)
\(632\) 2.02099 + 0.809082i 0.0803906 + 0.0321835i
\(633\) −18.2510 + 14.3528i −0.725413 + 0.570471i
\(634\) −55.9732 28.8562i −2.22298 1.14603i
\(635\) −0.904717 2.61401i −0.0359026 0.103734i
\(636\) 9.23687 20.2259i 0.366266 0.802010i
\(637\) −1.81637 + 20.6573i −0.0719674 + 0.818471i
\(638\) −68.9298 + 20.2396i −2.72896 + 0.801294i
\(639\) 3.41093 0.657403i 0.134934 0.0260064i
\(640\) −0.721904 2.97573i −0.0285358 0.117626i
\(641\) −1.55894 + 2.18922i −0.0615744 + 0.0864691i −0.844215 0.536005i \(-0.819933\pi\)
0.782641 + 0.622474i \(0.213872\pi\)
\(642\) 10.0825 + 7.92900i 0.397926 + 0.312933i
\(643\) 1.92672 0.0759823 0.0379912 0.999278i \(-0.487904\pi\)
0.0379912 + 0.999278i \(0.487904\pi\)
\(644\) −22.5196 14.2179i −0.887397 0.560262i
\(645\) −27.9118 −1.09903
\(646\) −44.1777 34.7417i −1.73815 1.36690i
\(647\) −4.52345 + 6.35229i −0.177835 + 0.249734i −0.893866 0.448334i \(-0.852018\pi\)
0.716031 + 0.698069i \(0.245957\pi\)
\(648\) 0.349495 + 1.44064i 0.0137295 + 0.0565936i
\(649\) −3.97080 + 0.765310i −0.155868 + 0.0300410i
\(650\) 7.70256 2.26168i 0.302119 0.0887102i
\(651\) −0.0316574 + 0.467232i −0.00124075 + 0.0183123i
\(652\) 14.2311 31.1618i 0.557334 1.22039i
\(653\) −16.2332 46.9029i −0.635256 1.83545i −0.543032 0.839712i \(-0.682724\pi\)
−0.0922238 0.995738i \(-0.529398\pi\)
\(654\) 2.30592 + 1.18879i 0.0901687 + 0.0464852i
\(655\) 12.1907 9.58686i 0.476329 0.374589i
\(656\) −4.91938 1.96942i −0.192070 0.0768931i
\(657\) −3.08656 + 1.98361i −0.120418 + 0.0773881i
\(658\) 0.445513 0.493787i 0.0173679 0.0192498i
\(659\) −4.93463 + 10.8053i −0.192226 + 0.420916i −0.981064 0.193686i \(-0.937956\pi\)
0.788838 + 0.614601i \(0.210683\pi\)
\(660\) 31.8899 16.4404i 1.24131 0.639941i
\(661\) −1.77850 1.69579i −0.0691755 0.0659587i 0.654703 0.755886i \(-0.272794\pi\)
−0.723878 + 0.689928i \(0.757642\pi\)
\(662\) −14.1872 + 40.9913i −0.551402 + 1.59317i
\(663\) 23.3959 22.3080i 0.908622 0.866370i
\(664\) −1.32027 2.89098i −0.0512362 0.112192i
\(665\) −3.32683 + 20.2477i −0.129009 + 0.785173i
\(666\) −1.32721 −0.0514285
\(667\) −25.0615 + 17.1195i −0.970387 + 0.662871i
\(668\) −16.9527 29.3629i −0.655920 1.13609i
\(669\) 12.9408 5.18071i 0.500320 0.200298i
\(670\) −7.67670 0.733036i −0.296577 0.0283197i
\(671\) −41.8299 12.2824i −1.61482 0.474155i
\(672\) 11.7807 31.9505i 0.454451 1.23252i
\(673\) 1.36966 0.402170i 0.0527967 0.0155025i −0.255228 0.966881i \(-0.582150\pi\)
0.308024 + 0.951379i \(0.400332\pi\)
\(674\) 38.9285 20.0690i 1.49947 0.773030i
\(675\) −7.34849 + 0.701696i −0.282844 + 0.0270083i
\(676\) −8.70571 1.67789i −0.334835 0.0645341i
\(677\) 1.58920 + 33.3614i 0.0610779 + 1.28218i 0.796527 + 0.604603i \(0.206668\pi\)
−0.735449 + 0.677580i \(0.763029\pi\)
\(678\) −0.165002 1.14762i −0.00633687 0.0440739i
\(679\) −15.5082 6.57233i −0.595151 0.252223i
\(680\) −2.20808 + 1.41905i −0.0846762 + 0.0544181i
\(681\) 12.1067 + 34.9799i 0.463928 + 1.34043i
\(682\) 1.25543 0.119879i 0.0480728 0.00459039i
\(683\) 2.19796 46.1408i 0.0841025 1.76553i −0.425349 0.905029i \(-0.639849\pi\)
0.509451 0.860499i \(-0.329848\pi\)
\(684\) −0.925834 + 3.81634i −0.0354001 + 0.145921i
\(685\) −16.1703 18.6615i −0.617836 0.713021i
\(686\) 28.6434 24.1968i 1.09361 0.923837i
\(687\) −8.86763 19.4174i −0.338321 0.740820i
\(688\) 27.2924 + 21.4630i 1.04051 + 0.818269i
\(689\) 9.84885 + 17.0587i 0.375211 + 0.649885i
\(690\) 20.8410 21.0208i 0.793405 0.800249i
\(691\) −3.78722 + 6.55966i −0.144073 + 0.249541i −0.929027 0.370013i \(-0.879353\pi\)
0.784954 + 0.619554i \(0.212687\pi\)
\(692\) 3.83938 26.7034i 0.145951 1.01511i
\(693\) −6.80258 0.787498i −0.258409 0.0299146i
\(694\) 2.95399 + 0.867370i 0.112132 + 0.0329249i
\(695\) −5.75187 + 1.10858i −0.218181 + 0.0420509i
\(696\) 1.46145 + 1.39349i 0.0553959 + 0.0528199i
\(697\) −0.455362 + 9.55923i −0.0172481 + 0.362082i
\(698\) 35.5256 + 49.8888i 1.34467 + 1.88832i
\(699\) −26.0453 + 30.0579i −0.985124 + 1.13689i
\(700\) −6.53698 3.53772i −0.247075 0.133713i
\(701\) 4.46063 + 31.0244i 0.168476 + 1.17178i 0.882036 + 0.471182i \(0.156172\pi\)
−0.713560 + 0.700594i \(0.752919\pi\)
\(702\) −30.7086 12.2939i −1.15902 0.464002i
\(703\) 5.11588 + 2.63742i 0.192949 + 0.0994721i
\(704\) −48.2889 9.30693i −1.81996 0.350768i
\(705\) 0.219562 + 0.308332i 0.00826919 + 0.0116125i
\(706\) 35.4970 + 22.8126i 1.33595 + 0.858562i
\(707\) 19.9547 5.42709i 0.750474 0.204107i
\(708\) 1.57941 + 1.82273i 0.0593578 + 0.0685025i
\(709\) −2.52013 + 2.40294i −0.0946456 + 0.0902444i −0.735925 0.677063i \(-0.763252\pi\)
0.641279 + 0.767307i \(0.278404\pi\)
\(710\) −16.9099 + 23.7466i −0.634617 + 0.891195i
\(711\) 4.65833 1.86491i 0.174701 0.0699397i
\(712\) −0.320174 + 0.554558i −0.0119990 + 0.0207829i
\(713\) 0.488877 0.211838i 0.0183086 0.00793341i
\(714\) −58.4400 1.17198i −2.18706 0.0438604i
\(715\) −4.52330 + 31.4602i −0.169162 + 1.17655i
\(716\) −12.8473 1.22677i −0.480126 0.0458465i
\(717\) −4.19361 17.2863i −0.156613 0.645568i
\(718\) −5.24188 + 15.1454i −0.195625 + 0.565222i
\(719\) −8.11145 + 33.4358i −0.302506 + 1.24695i 0.594199 + 0.804318i \(0.297469\pi\)
−0.896705 + 0.442628i \(0.854046\pi\)
\(720\) −2.81810 1.81109i −0.105025 0.0674952i
\(721\) −40.1870 + 3.02567i −1.49664 + 0.112682i
\(722\) −3.41116 + 3.93669i −0.126950 + 0.146509i
\(723\) 0.587068 + 12.3241i 0.0218333 + 0.458337i
\(724\) 22.5035 17.6970i 0.836338 0.657703i
\(725\) −6.65835 + 5.23618i −0.247285 + 0.194467i
\(726\) −3.13684 65.8503i −0.116419 2.44394i
\(727\) 20.1316 23.2331i 0.746640 0.861668i −0.247598 0.968863i \(-0.579641\pi\)
0.994238 + 0.107195i \(0.0341868\pi\)
\(728\) −0.884699 1.29664i −0.0327891 0.0480568i
\(729\) 25.0506 + 16.0990i 0.927799 + 0.596260i
\(730\) 7.25928 29.9232i 0.268678 1.10751i
\(731\) 20.5094 59.2580i 0.758568 2.19174i
\(732\) 6.12999 + 25.2682i 0.226571 + 0.933938i
\(733\) 24.2858 + 2.31901i 0.897016 + 0.0856547i 0.533370 0.845882i \(-0.320925\pi\)
0.363647 + 0.931537i \(0.381532\pi\)
\(734\) −5.84915 + 40.6817i −0.215896 + 1.50159i
\(735\) 9.92075 + 18.8945i 0.365932 + 0.696932i
\(736\) −38.4490 + 4.76472i −1.41725 + 0.175630i
\(737\) −5.58055 + 9.66580i −0.205562 + 0.356044i
\(738\) 1.21233 0.485346i 0.0446267 0.0178658i
\(739\) 8.14208 11.4339i 0.299511 0.420605i −0.637205 0.770694i \(-0.719910\pi\)
0.936716 + 0.350090i \(0.113849\pi\)
\(740\) 4.12785 3.93590i 0.151743 0.144686i
\(741\) 12.5272 + 14.4572i 0.460199 + 0.531098i
\(742\) 9.08924 34.4373i 0.333676 1.26423i
\(743\) −17.7187 11.3871i −0.650038 0.417754i 0.173642 0.984809i \(-0.444446\pi\)
−0.823680 + 0.567055i \(0.808083\pi\)
\(744\) −0.0205623 0.0288757i −0.000753850 0.00105863i
\(745\) −28.9959 5.58851i −1.06233 0.204747i
\(746\) −12.2522 6.31647i −0.448587 0.231263i
\(747\) −6.80088 2.72266i −0.248831 0.0996170i
\(748\) 11.4712 + 79.7840i 0.419429 + 2.91719i
\(749\) 9.25284 + 5.00750i 0.338091 + 0.182970i
\(750\) 25.6199 29.5669i 0.935507 1.07963i
\(751\) 17.9622 + 25.2244i 0.655451 + 0.920452i 0.999831 0.0183786i \(-0.00585041\pi\)
−0.344380 + 0.938830i \(0.611911\pi\)
\(752\) 0.0224043 0.470324i 0.000817001 0.0171510i
\(753\) 26.3504 + 25.1251i 0.960264 + 0.915609i
\(754\) −37.2705 + 7.18330i −1.35731 + 0.261601i
\(755\) 18.7024 + 5.49151i 0.680649 + 0.199857i
\(756\) 12.1617 + 28.1087i 0.442318 + 1.02230i
\(757\) 0.683002 4.75038i 0.0248241 0.172656i −0.973638 0.228100i \(-0.926749\pi\)
0.998462 + 0.0554447i \(0.0176577\pi\)
\(758\) −35.2435 + 61.0436i −1.28010 + 2.21720i
\(759\) −15.1440 40.0761i −0.549691 1.45467i
\(760\) −0.776611 1.34513i −0.0281707 0.0487930i
\(761\) −2.31107 1.81745i −0.0837763 0.0658824i 0.575392 0.817877i \(-0.304849\pi\)
−0.659169 + 0.751995i \(0.729092\pi\)
\(762\) 1.93704 + 4.24153i 0.0701716 + 0.153654i
\(763\) 2.02931 + 0.640327i 0.0734660 + 0.0231814i
\(764\) 24.4519 + 28.2189i 0.884637 + 1.02093i
\(765\) −1.42634 + 5.87945i −0.0515694 + 0.212572i
\(766\) 1.75879 36.9215i 0.0635476 1.33403i
\(767\) −2.12690 + 0.203095i −0.0767980 + 0.00733332i
\(768\) −7.45262 21.5329i −0.268923 0.777003i
\(769\) 20.9764 13.4807i 0.756428 0.486127i −0.104707 0.994503i \(-0.533391\pi\)
0.861135 + 0.508376i \(0.169754\pi\)
\(770\) 45.8777 34.6127i 1.65332 1.24736i
\(771\) 2.36758 + 16.4669i 0.0852662 + 0.593040i
\(772\) 0.839732 + 17.6281i 0.0302226 + 0.634451i
\(773\) −18.1873 3.50531i −0.654150 0.126077i −0.148631 0.988893i \(-0.547487\pi\)
−0.505519 + 0.862816i \(0.668699\pi\)
\(774\) −8.51787 + 0.813358i −0.306169 + 0.0292356i
\(775\) 0.132170 0.0681384i 0.00474769 0.00244760i
\(776\) 1.22333 0.359203i 0.0439151 0.0128946i
\(777\) 5.89947 1.01480i 0.211642 0.0364056i
\(778\) 43.1401 + 12.6671i 1.54665 + 0.454137i
\(779\) −5.63754 0.538319i −0.201986 0.0192873i
\(780\) 17.5984 7.04532i 0.630123 0.252263i
\(781\) 21.0961 + 36.5395i 0.754877 + 1.30749i
\(782\) 29.3143 + 59.6924i 1.04828 + 2.13460i
\(783\) 34.9029 1.24733
\(784\) 4.82844 26.1038i 0.172444 0.932279i
\(785\) 4.57909 + 10.0268i 0.163435 + 0.357872i
\(786\) −18.9207 + 18.0408i −0.674879 + 0.643495i
\(787\) −6.26348 + 18.0971i −0.223269 + 0.645094i 0.776617 + 0.629974i \(0.216934\pi\)
−0.999886 + 0.0151201i \(0.995187\pi\)
\(788\) 2.03880 + 1.94399i 0.0726293 + 0.0692519i
\(789\) 11.7371 6.05091i 0.417853 0.215418i
\(790\) −17.4932 + 38.3048i −0.622380 + 1.36282i
\(791\) −0.292957 0.904742i −0.0104163 0.0321689i
\(792\) 0.436078 0.280250i 0.0154954 0.00995826i
\(793\) −21.3838 8.56079i −0.759361 0.304002i
\(794\) 1.24289 0.977422i 0.0441086 0.0346874i
\(795\) 18.0177 + 9.28875i 0.639021 + 0.329438i
\(796\) −2.72283 7.86710i −0.0965082 0.278842i
\(797\) 19.5677 42.8473i 0.693124 1.51773i −0.154990 0.987916i \(-0.549535\pi\)
0.848114 0.529814i \(-0.177738\pi\)
\(798\) 2.33824 34.5102i 0.0827729 1.22165i
\(799\) −0.815936 + 0.239580i −0.0288657 + 0.00847574i
\(800\) −10.6175 + 2.04636i −0.375385 + 0.0723496i
\(801\) 0.347977 + 1.43438i 0.0122952 + 0.0506813i
\(802\) 15.7719 22.1485i 0.556924 0.782090i
\(803\) −35.0299 27.5478i −1.23618 0.972141i
\(804\) 6.65662 0.234761
\(805\) 13.9241 19.8903i 0.490760 0.701041i
\(806\) 0.666320 0.0234701
\(807\) 2.96179 + 2.32917i 0.104260 + 0.0819908i
\(808\) −0.907997 + 1.27510i −0.0319432 + 0.0448580i
\(809\) −3.40924 14.0531i −0.119862 0.494079i −0.999819 0.0190254i \(-0.993944\pi\)
0.879957 0.475054i \(-0.157571\pi\)
\(810\) −28.1577 + 5.42694i −0.989359 + 0.190683i
\(811\) 33.3031 9.77866i 1.16943 0.343375i 0.361339 0.932435i \(-0.382320\pi\)
0.808090 + 0.589059i \(0.200502\pi\)
\(812\) 29.1779 + 19.5891i 1.02394 + 0.687444i
\(813\) −14.1399 + 30.9621i −0.495909 + 1.08589i
\(814\) −5.27252 15.2339i −0.184802 0.533949i
\(815\) 27.7596 + 14.3111i 0.972377 + 0.501295i
\(816\) −32.5295 + 25.5814i −1.13876 + 0.895530i
\(817\) 34.4493 + 13.7914i 1.20523 + 0.482500i
\(818\) 15.2046 9.77137i 0.531615 0.341648i
\(819\) −3.53830 0.755833i −0.123638 0.0264109i
\(820\) −2.33125 + 5.10472i −0.0814107 + 0.178265i
\(821\) 17.0248 8.77688i 0.594169 0.306315i −0.134789 0.990874i \(-0.543036\pi\)
0.728957 + 0.684559i \(0.240005\pi\)
\(822\) 30.1252 + 28.7244i 1.05074 + 1.00188i
\(823\) −15.1408 + 43.7464i −0.527774 + 1.52490i 0.294409 + 0.955680i \(0.404877\pi\)
−0.822183 + 0.569224i \(0.807244\pi\)
\(824\) 2.20783 2.10516i 0.0769133 0.0733367i
\(825\) −4.96705 10.8763i −0.172931 0.378665i
\(826\) 2.98824 + 2.44852i 0.103974 + 0.0851950i
\(827\) −17.9742 −0.625025 −0.312513 0.949914i \(-0.601171\pi\)
−0.312513 + 0.949914i \(0.601171\pi\)
\(828\) 2.94312 3.59586i 0.102280 0.124965i
\(829\) −4.15624 7.19881i −0.144352 0.250025i 0.784779 0.619776i \(-0.212776\pi\)
−0.929131 + 0.369751i \(0.879443\pi\)
\(830\) 57.0746 22.8492i 1.98109 0.793108i
\(831\) −32.9107 3.14259i −1.14166 0.109015i
\(832\) −24.9304 7.32023i −0.864307 0.253783i
\(833\) −47.4035 + 7.17868i −1.64243 + 0.248727i
\(834\) 9.47443 2.78194i 0.328073 0.0963308i
\(835\) 27.4742 14.1639i 0.950784 0.490163i
\(836\) −47.4824 + 4.53402i −1.64221 + 0.156812i
\(837\) −0.601642 0.115957i −0.0207958 0.00400806i
\(838\) 1.10193 + 23.1323i 0.0380655 + 0.799093i
\(839\) −4.37397 30.4216i −0.151006 1.05027i −0.914538 0.404500i \(-0.867445\pi\)
0.763532 0.645770i \(-0.223464\pi\)
\(840\) −1.48735 0.630332i −0.0513183 0.0217485i
\(841\) 9.29619 5.97430i 0.320558 0.206010i
\(842\) 1.96585 + 5.67994i 0.0677475 + 0.195744i
\(843\) −24.8559 + 2.37345i −0.856083 + 0.0817460i
\(844\) 1.45544 30.5535i 0.0500984 1.05169i
\(845\) 1.90558 7.85490i 0.0655539 0.270217i
\(846\) 0.0759889 + 0.0876959i 0.00261255 + 0.00301505i
\(847\) −11.6922 52.7945i −0.401747 1.81404i
\(848\) −10.4752 22.9375i −0.359719 0.787675i
\(849\) 5.47790 + 4.30787i 0.188001 + 0.147846i
\(850\) 9.28008 + 16.0736i 0.318304 + 0.551319i
\(851\) −4.10479 5.43454i −0.140710 0.186294i
\(852\) 12.5820 21.7926i 0.431051 0.746602i
\(853\) −0.172607 + 1.20051i −0.00590996 + 0.0411047i −0.992563 0.121732i \(-0.961155\pi\)
0.986653 + 0.162837i \(0.0520643\pi\)
\(854\) 16.5384 + 38.2243i 0.565933 + 1.30801i
\(855\) −3.43512 1.00864i −0.117479 0.0344948i
\(856\) −0.782001 + 0.150718i −0.0267282 + 0.00515145i
\(857\) −18.7677 17.8950i −0.641094 0.611282i 0.298156 0.954517i \(-0.403629\pi\)
−0.939249 + 0.343236i \(0.888477\pi\)
\(858\) 2.54935 53.5174i 0.0870333 1.82705i
\(859\) −24.2161 34.0068i −0.826244 1.16030i −0.984928 0.172967i \(-0.944665\pi\)
0.158684 0.987329i \(-0.449275\pi\)
\(860\) 24.0799 27.7897i 0.821118 0.947621i
\(861\) −5.01773 + 3.08432i −0.171004 + 0.105113i
\(862\) −0.990279 6.88754i −0.0337290 0.234591i
\(863\) 31.1003 + 12.4507i 1.05867 + 0.423826i 0.834663 0.550762i \(-0.185663\pi\)
0.224005 + 0.974588i \(0.428087\pi\)
\(864\) 39.6014 + 20.4159i 1.34727 + 0.694564i
\(865\) 24.1504 + 4.65462i 0.821140 + 0.158262i
\(866\) −3.77799 5.30545i −0.128381 0.180287i
\(867\) 40.0895 + 25.7640i 1.36151 + 0.874991i
\(868\) −0.437877 0.434607i −0.0148625 0.0147515i
\(869\) 39.9115 + 46.0603i 1.35390 + 1.56249i
\(870\) −28.2700 + 26.9554i −0.958443 + 0.913874i
\(871\) −3.42057 + 4.80351i −0.115901 + 0.162761i
\(872\) −0.149538 + 0.0598661i −0.00506401 + 0.00202732i
\(873\) 1.46940 2.54507i 0.0497316 0.0861376i
\(874\) −36.1089 + 15.6466i −1.22140 + 0.529254i
\(875\) 16.5988 27.4631i 0.561142 0.928424i
\(876\) −3.78255 + 26.3082i −0.127800 + 0.888871i
\(877\) 54.0876 + 5.16474i 1.82641 + 0.174401i 0.951043 0.309059i \(-0.100014\pi\)
0.875367 + 0.483460i \(0.160620\pi\)
\(878\) −5.92805 24.4357i −0.200062 0.824667i
\(879\) 16.5124 47.7095i 0.556950 1.60920i
\(880\) 9.59262 39.5413i 0.323367 1.33294i
\(881\) 35.9891 + 23.1288i 1.21250 + 0.779228i 0.981076 0.193624i \(-0.0620241\pi\)
0.231427 + 0.972852i \(0.425660\pi\)
\(882\) 3.57811 + 5.47694i 0.120481 + 0.184418i
\(883\) −16.3458 + 18.8640i −0.550080 + 0.634826i −0.960902 0.276890i \(-0.910696\pi\)
0.410822 + 0.911716i \(0.365242\pi\)
\(884\) 2.02638 + 42.5390i 0.0681546 + 1.43074i
\(885\) −1.72835 + 1.35919i −0.0580979 + 0.0456887i
\(886\) −13.9949 + 11.0057i −0.470169 + 0.369745i
\(887\) 0.0629352 + 1.32117i 0.00211316 + 0.0443606i 0.999678 0.0253899i \(-0.00808272\pi\)
−0.997564 + 0.0697505i \(0.977780\pi\)
\(888\) −0.296734 + 0.342449i −0.00995773 + 0.0114918i
\(889\) 2.15561 + 3.15933i 0.0722968 + 0.105961i
\(890\) −10.4204 6.69682i −0.349294 0.224478i
\(891\) −9.78467 + 40.3330i −0.327799 + 1.35121i
\(892\) −6.00616 + 17.3537i −0.201101 + 0.581044i
\(893\) −0.118639 0.489036i −0.00397010 0.0163650i
\(894\) 49.5528 + 4.73172i 1.65729 + 0.158252i
\(895\) 1.67443 11.6459i 0.0559701 0.389281i
\(896\) 2.04295 + 3.70828i 0.0682503 + 0.123885i
\(897\) −5.95233 21.8388i −0.198743 0.729177i
\(898\) 0.144754 0.250722i 0.00483051 0.00836669i
\(899\) −0.652716 + 0.261308i −0.0217693 + 0.00871511i
\(900\) 0.752257 1.05640i 0.0250752 0.0352132i
\(901\) −32.9597 + 31.4270i −1.09805 + 1.04699i
\(902\) 10.3870 + 11.9872i 0.345849 + 0.399132i
\(903\) 37.2401 10.1282i 1.23927 0.337045i
\(904\) 0.0605586 + 0.0389186i 0.00201415 + 0.00129441i
\(905\) 15.1392 + 21.2601i 0.503246 + 0.706710i
\(906\) −32.2639 6.21836i −1.07190 0.206591i
\(907\) −33.2810 17.1576i −1.10508 0.569707i −0.193610 0.981079i \(-0.562020\pi\)
−0.911468 + 0.411371i \(0.865050\pi\)
\(908\) −45.2715 18.1240i −1.50239 0.601465i
\(909\) 0.513488 + 3.57139i 0.0170313 + 0.118455i
\(910\) 25.8680 15.9007i 0.857516 0.527102i
\(911\) −19.8686 + 22.9296i −0.658275 + 0.759690i −0.982494 0.186292i \(-0.940353\pi\)
0.324219 + 0.945982i \(0.394898\pi\)
\(912\) −14.2050 19.9481i −0.470374 0.660547i
\(913\) 4.23376 88.8775i 0.140117 2.94142i
\(914\) −0.114913 0.109570i −0.00380100 0.00362425i
\(915\) −23.2759 + 4.48606i −0.769477 + 0.148305i
\(916\) 26.9827 + 7.92283i 0.891533 + 0.261778i
\(917\) −12.7861 + 17.2144i −0.422235 + 0.568469i
\(918\) 10.8838 75.6982i 0.359217 2.49841i
\(919\) −15.4997 + 26.8462i −0.511287 + 0.885576i 0.488627 + 0.872493i \(0.337498\pi\)
−0.999914 + 0.0130829i \(0.995835\pi\)
\(920\) 0.138985 + 1.83262i 0.00458218 + 0.0604196i
\(921\) 12.5834 + 21.7950i 0.414636 + 0.718171i
\(922\) −17.1015 13.4488i −0.563210 0.442913i
\(923\) 9.26049 + 20.2776i 0.304813 + 0.667447i
\(924\) −36.5820 + 33.5066i −1.20346 + 1.10229i
\(925\) −1.24474 1.43651i −0.0409268 0.0472320i
\(926\) −12.7513 + 52.5616i −0.419034 + 1.72728i
\(927\) 0.334575 7.02360i 0.0109889 0.230685i
\(928\) 50.8936 4.85975i 1.67067 0.159529i
\(929\) −5.25484 15.1829i −0.172406 0.498134i 0.825385 0.564570i \(-0.190958\pi\)
−0.997791 + 0.0664368i \(0.978837\pi\)
\(930\) 0.576861 0.370726i 0.0189160 0.0121566i
\(931\) −2.90850 28.2218i −0.0953222 0.924932i
\(932\) −7.45673 51.8627i −0.244253 1.69882i
\(933\) −1.92554 40.4221i −0.0630395 1.32336i
\(934\) 66.3384 + 12.7857i 2.17066 + 0.418360i
\(935\) −73.1514 + 6.98511i −2.39231 + 0.228438i
\(936\) 0.243433 0.125498i 0.00795685 0.00410204i
\(937\) −44.0482 + 12.9337i −1.43899 + 0.422527i −0.905886 0.423521i \(-0.860794\pi\)
−0.533107 + 0.846048i \(0.678976\pi\)
\(938\) 10.5083 1.80758i 0.343108 0.0590196i
\(939\) 5.94164 + 1.74462i 0.193898 + 0.0569336i
\(940\) −0.496403 0.0474007i −0.0161909 0.00154604i
\(941\) −37.5919 + 15.0495i −1.22546 + 0.490601i −0.891945 0.452143i \(-0.850660\pi\)
−0.333517 + 0.942744i \(0.608235\pi\)
\(942\) −9.29072 16.0920i −0.302708 0.524306i
\(943\) 5.73683 + 3.46308i 0.186817 + 0.112773i
\(944\) 2.73516 0.0890218
\(945\) −26.1242 + 9.85553i −0.849821 + 0.320600i
\(946\) −43.1741 94.5381i −1.40371 3.07370i
\(947\) −4.85074 + 4.62517i −0.157628 + 0.150298i −0.764789 0.644281i \(-0.777157\pi\)
0.607161 + 0.794579i \(0.292308\pi\)
\(948\) 11.8887 34.3501i 0.386126 1.11564i
\(949\) −17.0407 16.2482i −0.553163 0.527440i
\(950\) −9.76221 + 5.03277i −0.316728 + 0.163285i
\(951\) −20.5866 + 45.0783i −0.667565 + 1.46176i
\(952\) 2.43111 2.69454i 0.0787929 0.0873305i
\(953\) −4.30546 + 2.76695i −0.139467 + 0.0896303i −0.608514 0.793543i \(-0.708234\pi\)
0.469046 + 0.883173i \(0.344598\pi\)
\(954\) 5.76915 + 2.30962i 0.186783 + 0.0747766i
\(955\) −26.7577 + 21.0425i −0.865860 + 0.680920i
\(956\) 20.8286 + 10.7379i 0.673644 + 0.347287i
\(957\) 18.4904 + 53.4245i 0.597710 + 1.72697i
\(958\) −27.7016 + 60.6580i −0.894998 + 1.95977i
\(959\) 28.3461 + 19.0307i 0.915344 + 0.614533i
\(960\) −25.6561 + 7.53332i −0.828048 + 0.243137i
\(961\) −30.4277 + 5.86445i −0.981538 + 0.189176i
\(962\) −2.00802 8.27717i −0.0647412 0.266867i
\(963\) −1.06479 + 1.49529i −0.0343124 + 0.0481850i
\(964\) −12.7766 10.0476i −0.411507 0.323613i
\(965\) −16.0892 −0.517929
\(966\) −20.1785 + 35.6086i −0.649233 + 1.14569i
\(967\) 45.3348 1.45787 0.728935 0.684583i \(-0.240016\pi\)
0.728935 + 0.684583i \(0.240016\pi\)
\(968\) 3.21745 + 2.53023i 0.103413 + 0.0813246i
\(969\) −25.6546 + 36.0268i −0.824144 + 1.15735i
\(970\) 5.81453 + 23.9678i 0.186693 + 0.769561i
\(971\) −51.6630 + 9.95723i −1.65795 + 0.319543i −0.930408 0.366525i \(-0.880547\pi\)
−0.727537 + 0.686068i \(0.759335\pi\)
\(972\) −9.57074 + 2.81022i −0.306982 + 0.0901380i
\(973\) 7.27191 3.56623i 0.233127 0.114328i
\(974\) −13.4523 + 29.4564i −0.431039 + 0.943843i
\(975\) −2.06621 5.96992i −0.0661717 0.191191i
\(976\) 26.2090 + 13.5117i 0.838929 + 0.432498i
\(977\) 45.2634 35.5955i 1.44810 1.13880i 0.483422 0.875388i \(-0.339394\pi\)
0.964683 0.263414i \(-0.0848486\pi\)
\(978\) −48.8758 19.5669i −1.56288 0.625681i
\(979\) −15.0816 + 9.69237i −0.482011 + 0.309769i
\(980\) −27.3706 6.42317i −0.874321 0.205181i
\(981\) −0.154234 + 0.337726i −0.00492432 + 0.0107828i
\(982\) 67.2904 34.6906i 2.14732 1.10702i
\(983\) 4.78729 + 4.56467i 0.152691 + 0.145590i 0.762574 0.646901i \(-0.223935\pi\)
−0.609883 + 0.792491i \(0.708784\pi\)
\(984\) 0.145820 0.421320i 0.00464858 0.0134312i
\(985\) −1.85870 + 1.77227i −0.0592231 + 0.0564691i
\(986\) −36.4549 79.8252i −1.16096 2.54215i
\(987\) −0.404824 0.331707i −0.0128857 0.0105583i
\(988\) −25.2014 −0.801762
\(989\) −29.6744 32.3626i −0.943591 1.02907i
\(990\) 5.01361 + 8.68383i 0.159343 + 0.275990i
\(991\) −31.7844 + 12.7246i −1.00967 + 0.404209i −0.816741 0.577004i \(-0.804222\pi\)
−0.192925 + 0.981214i \(0.561797\pi\)
\(992\) −0.893430 0.0853122i −0.0283664 0.00270867i
\(993\) 32.7525 + 9.61699i 1.03937 + 0.305186i
\(994\) 13.9445 37.8188i 0.442291 1.19954i
\(995\) 7.28214 2.13823i 0.230859 0.0677864i
\(996\) −47.1685 + 24.3171i −1.49459 + 0.770516i
\(997\) −9.55200 + 0.912106i −0.302515 + 0.0288867i −0.245210 0.969470i \(-0.578857\pi\)
−0.0573051 + 0.998357i \(0.518251\pi\)
\(998\) 6.86143 + 1.32243i 0.217195 + 0.0418609i
\(999\) 0.372664 + 7.82319i 0.0117906 + 0.247515i
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 161.2.m.a.100.13 yes 280
7.4 even 3 inner 161.2.m.a.123.2 yes 280
23.3 even 11 inner 161.2.m.a.72.2 280
161.95 even 33 inner 161.2.m.a.95.13 yes 280
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
161.2.m.a.72.2 280 23.3 even 11 inner
161.2.m.a.95.13 yes 280 161.95 even 33 inner
161.2.m.a.100.13 yes 280 1.1 even 1 trivial
161.2.m.a.123.2 yes 280 7.4 even 3 inner