Properties

Label 234.2.z.a.137.6
Level $234$
Weight $2$
Character 234.137
Analytic conductor $1.868$
Analytic rank $0$
Dimension $56$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [234,2,Mod(41,234)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(234, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([10, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("234.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 234 = 2 \cdot 3^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 234.z (of order \(12\), degree \(4\), 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: \(1.86849940730\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 137.6
Character \(\chi\) \(=\) 234.137
Dual form 234.2.z.a.41.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.965926 - 0.258819i) q^{2} +(1.60665 + 0.647043i) q^{3} +(0.866025 + 0.500000i) q^{4} +(2.84756 + 0.763001i) q^{5} +(-1.38444 - 1.04083i) q^{6} +(-1.37958 + 1.37958i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(2.16267 + 2.07915i) q^{9} +O(q^{10})\) \(q+(-0.965926 - 0.258819i) q^{2} +(1.60665 + 0.647043i) q^{3} +(0.866025 + 0.500000i) q^{4} +(2.84756 + 0.763001i) q^{5} +(-1.38444 - 1.04083i) q^{6} +(-1.37958 + 1.37958i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(2.16267 + 2.07915i) q^{9} +(-2.55305 - 1.47400i) q^{10} +(0.207457 - 0.774238i) q^{11} +(1.06788 + 1.36368i) q^{12} +(-3.58657 + 0.369493i) q^{13} +(1.68964 - 0.975511i) q^{14} +(4.08135 + 3.06837i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-4.02058 - 6.96385i) q^{17} +(-1.55086 - 2.56804i) q^{18} +(-1.18319 + 4.41574i) q^{19} +(2.08456 + 2.08456i) q^{20} +(-3.10916 + 1.32386i) q^{21} +(-0.400775 + 0.694163i) q^{22} +6.99376 q^{23} +(-0.678548 - 1.59360i) q^{24} +(3.19629 + 1.84538i) q^{25} +(3.55999 + 0.571370i) q^{26} +(2.12937 + 4.73981i) q^{27} +(-1.88454 + 0.504962i) q^{28} +(6.82146 - 3.93837i) q^{29} +(-3.14812 - 4.02015i) q^{30} +(0.619046 - 2.31031i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(0.834276 - 1.10970i) q^{33} +(2.08121 + 7.76717i) q^{34} +(-4.98106 + 2.87582i) q^{35} +(0.833356 + 2.88193i) q^{36} +(-2.09658 - 7.82455i) q^{37} +(2.28576 - 3.95904i) q^{38} +(-6.00145 - 1.72702i) q^{39} +(-1.47400 - 2.55305i) q^{40} +(-3.66359 + 3.66359i) q^{41} +(3.34586 - 0.474043i) q^{42} -2.33382i q^{43} +(0.566782 - 0.566782i) q^{44} +(4.57194 + 7.57061i) q^{45} +(-6.75546 - 1.81012i) q^{46} +(-5.14869 + 1.37959i) q^{47} +(0.242972 + 1.71492i) q^{48} +3.19351i q^{49} +(-2.60976 - 2.60976i) q^{50} +(-1.95377 - 13.7900i) q^{51} +(-3.29081 - 1.47329i) q^{52} -8.27924i q^{53} +(-0.830059 - 5.12943i) q^{54} +(1.18149 - 2.04640i) q^{55} +1.95102 q^{56} +(-4.75815 + 6.32899i) q^{57} +(-7.60835 + 2.03865i) q^{58} +(-8.52709 + 2.28483i) q^{59} +(2.00036 + 4.69796i) q^{60} -4.93917 q^{61} +(-1.19590 + 2.07137i) q^{62} +(-5.85193 + 0.115230i) q^{63} +1.00000i q^{64} +(-10.4949 - 1.68440i) q^{65} +(-1.09306 + 0.855961i) q^{66} +(0.549015 + 0.549015i) q^{67} -8.04117i q^{68} +(11.2366 + 4.52526i) q^{69} +(5.55565 - 1.48863i) q^{70} +(-2.57304 - 0.689443i) q^{71} +(-0.0590613 - 2.99942i) q^{72} +(5.68293 - 5.68293i) q^{73} +8.10057i q^{74} +(3.94129 + 5.03302i) q^{75} +(-3.23255 + 3.23255i) q^{76} +(0.781921 + 1.35433i) q^{77} +(5.34997 + 3.22146i) q^{78} +(0.554497 - 0.960416i) q^{79} +(0.763001 + 2.84756i) q^{80} +(0.354299 + 8.99302i) q^{81} +(4.48696 - 2.59055i) q^{82} +(0.614312 + 2.29264i) q^{83} +(-3.35454 - 0.408081i) q^{84} +(-6.13542 - 22.8977i) q^{85} +(-0.604036 + 2.25429i) q^{86} +(13.5080 - 1.91382i) q^{87} +(-0.694163 + 0.400775i) q^{88} +(-2.84070 + 0.761164i) q^{89} +(-2.45674 - 8.49595i) q^{90} +(4.43822 - 5.45771i) q^{91} +(6.05678 + 3.49688i) q^{92} +(2.48946 - 3.31132i) q^{93} +5.33031 q^{94} +(-6.73843 + 11.6713i) q^{95} +(0.209163 - 1.71938i) q^{96} +(2.59780 + 2.59780i) q^{97} +(0.826542 - 3.08469i) q^{98} +(2.05842 - 1.24309i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 8 q^{7} - 24 q^{11} + 28 q^{16} - 8 q^{19} - 24 q^{21} + 36 q^{27} - 4 q^{28} - 24 q^{30} - 4 q^{31} + 60 q^{33} - 24 q^{35} - 4 q^{37} + 36 q^{38} - 48 q^{41} - 36 q^{42} - 84 q^{45} - 36 q^{47} - 24 q^{50} + 8 q^{52} - 36 q^{54} + 36 q^{57} + 24 q^{60} - 48 q^{63} - 36 q^{65} + 28 q^{67} + 84 q^{69} - 24 q^{71} - 24 q^{72} + 28 q^{73} + 4 q^{76} + 24 q^{77} - 60 q^{78} - 24 q^{79} + 24 q^{81} - 96 q^{83} - 72 q^{85} + 4 q^{91} - 24 q^{92} - 36 q^{93} - 52 q^{97} + 48 q^{98} + 60 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).

\(n\) \(145\) \(209\)
\(\chi(n)\) \(e\left(\frac{11}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 0.258819i −0.683013 0.183013i
\(3\) 1.60665 + 0.647043i 0.927602 + 0.373570i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) 2.84756 + 0.763001i 1.27347 + 0.341224i 0.831358 0.555737i \(-0.187564\pi\)
0.442109 + 0.896962i \(0.354231\pi\)
\(6\) −1.38444 1.04083i −0.565196 0.424916i
\(7\) −1.37958 + 1.37958i −0.521433 + 0.521433i −0.918004 0.396571i \(-0.870200\pi\)
0.396571 + 0.918004i \(0.370200\pi\)
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) 2.16267 + 2.07915i 0.720891 + 0.693049i
\(10\) −2.55305 1.47400i −0.807345 0.466121i
\(11\) 0.207457 0.774238i 0.0625505 0.233442i −0.927572 0.373643i \(-0.878108\pi\)
0.990123 + 0.140202i \(0.0447751\pi\)
\(12\) 1.06788 + 1.36368i 0.308271 + 0.393661i
\(13\) −3.58657 + 0.369493i −0.994735 + 0.102479i
\(14\) 1.68964 0.975511i 0.451574 0.260716i
\(15\) 4.08135 + 3.06837i 1.05380 + 0.792250i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −4.02058 6.96385i −0.975135 1.68898i −0.679490 0.733685i \(-0.737799\pi\)
−0.295645 0.955298i \(-0.595535\pi\)
\(18\) −1.55086 2.56804i −0.365541 0.605293i
\(19\) −1.18319 + 4.41574i −0.271443 + 1.01304i 0.686744 + 0.726899i \(0.259039\pi\)
−0.958188 + 0.286141i \(0.907627\pi\)
\(20\) 2.08456 + 2.08456i 0.466121 + 0.466121i
\(21\) −3.10916 + 1.32386i −0.678474 + 0.288890i
\(22\) −0.400775 + 0.694163i −0.0854456 + 0.147996i
\(23\) 6.99376 1.45830 0.729150 0.684354i \(-0.239916\pi\)
0.729150 + 0.684354i \(0.239916\pi\)
\(24\) −0.678548 1.59360i −0.138508 0.325293i
\(25\) 3.19629 + 1.84538i 0.639258 + 0.369076i
\(26\) 3.55999 + 0.571370i 0.698172 + 0.112055i
\(27\) 2.12937 + 4.73981i 0.409797 + 0.912177i
\(28\) −1.88454 + 0.504962i −0.356145 + 0.0954288i
\(29\) 6.82146 3.93837i 1.26671 0.731337i 0.292348 0.956312i \(-0.405563\pi\)
0.974365 + 0.224975i \(0.0722300\pi\)
\(30\) −3.14812 4.02015i −0.574766 0.733975i
\(31\) 0.619046 2.31031i 0.111184 0.414944i −0.887789 0.460250i \(-0.847760\pi\)
0.998973 + 0.0453062i \(0.0144263\pi\)
\(32\) −0.258819 0.965926i −0.0457532 0.170753i
\(33\) 0.834276 1.10970i 0.145229 0.193174i
\(34\) 2.08121 + 7.76717i 0.356924 + 1.33206i
\(35\) −4.98106 + 2.87582i −0.841953 + 0.486102i
\(36\) 0.833356 + 2.88193i 0.138893 + 0.480322i
\(37\) −2.09658 7.82455i −0.344676 1.28635i −0.892990 0.450076i \(-0.851397\pi\)
0.548314 0.836272i \(-0.315270\pi\)
\(38\) 2.28576 3.95904i 0.370798 0.642242i
\(39\) −6.00145 1.72702i −0.961001 0.276544i
\(40\) −1.47400 2.55305i −0.233061 0.403673i
\(41\) −3.66359 + 3.66359i −0.572156 + 0.572156i −0.932730 0.360574i \(-0.882581\pi\)
0.360574 + 0.932730i \(0.382581\pi\)
\(42\) 3.34586 0.474043i 0.516277 0.0731464i
\(43\) 2.33382i 0.355904i −0.984039 0.177952i \(-0.943053\pi\)
0.984039 0.177952i \(-0.0569471\pi\)
\(44\) 0.566782 0.566782i 0.0854456 0.0854456i
\(45\) 4.57194 + 7.57061i 0.681545 + 1.12856i
\(46\) −6.75546 1.81012i −0.996038 0.266887i
\(47\) −5.14869 + 1.37959i −0.751013 + 0.201233i −0.613968 0.789331i \(-0.710427\pi\)
−0.137046 + 0.990565i \(0.543761\pi\)
\(48\) 0.242972 + 1.71492i 0.0350699 + 0.247528i
\(49\) 3.19351i 0.456216i
\(50\) −2.60976 2.60976i −0.369076 0.369076i
\(51\) −1.95377 13.7900i −0.273583 1.93099i
\(52\) −3.29081 1.47329i −0.456353 0.204309i
\(53\) 8.27924i 1.13724i −0.822600 0.568620i \(-0.807477\pi\)
0.822600 0.568620i \(-0.192523\pi\)
\(54\) −0.830059 5.12943i −0.112957 0.698026i
\(55\) 1.18149 2.04640i 0.159312 0.275936i
\(56\) 1.95102 0.260716
\(57\) −4.75815 + 6.32899i −0.630233 + 0.838295i
\(58\) −7.60835 + 2.03865i −0.999025 + 0.267688i
\(59\) −8.52709 + 2.28483i −1.11013 + 0.297459i −0.766884 0.641786i \(-0.778194\pi\)
−0.343248 + 0.939245i \(0.611527\pi\)
\(60\) 2.00036 + 4.69796i 0.258246 + 0.606504i
\(61\) −4.93917 −0.632396 −0.316198 0.948693i \(-0.602406\pi\)
−0.316198 + 0.948693i \(0.602406\pi\)
\(62\) −1.19590 + 2.07137i −0.151880 + 0.263064i
\(63\) −5.85193 + 0.115230i −0.737274 + 0.0145176i
\(64\) 1.00000i 0.125000i
\(65\) −10.4949 1.68440i −1.30173 0.208924i
\(66\) −1.09306 + 0.855961i −0.134546 + 0.105362i
\(67\) 0.549015 + 0.549015i 0.0670729 + 0.0670729i 0.739847 0.672775i \(-0.234898\pi\)
−0.672775 + 0.739847i \(0.734898\pi\)
\(68\) 8.04117i 0.975135i
\(69\) 11.2366 + 4.52526i 1.35272 + 0.544777i
\(70\) 5.55565 1.48863i 0.664027 0.177926i
\(71\) −2.57304 0.689443i −0.305363 0.0818218i 0.102884 0.994693i \(-0.467193\pi\)
−0.408247 + 0.912872i \(0.633860\pi\)
\(72\) −0.0590613 2.99942i −0.00696045 0.353485i
\(73\) 5.68293 5.68293i 0.665137 0.665137i −0.291449 0.956586i \(-0.594137\pi\)
0.956586 + 0.291449i \(0.0941375\pi\)
\(74\) 8.10057i 0.941672i
\(75\) 3.94129 + 5.03302i 0.455101 + 0.581163i
\(76\) −3.23255 + 3.23255i −0.370798 + 0.370798i
\(77\) 0.781921 + 1.35433i 0.0891082 + 0.154340i
\(78\) 5.34997 + 3.22146i 0.605765 + 0.364758i
\(79\) 0.554497 0.960416i 0.0623857 0.108055i −0.833146 0.553054i \(-0.813462\pi\)
0.895531 + 0.444998i \(0.146796\pi\)
\(80\) 0.763001 + 2.84756i 0.0853061 + 0.318367i
\(81\) 0.354299 + 8.99302i 0.0393666 + 0.999225i
\(82\) 4.48696 2.59055i 0.495502 0.286078i
\(83\) 0.614312 + 2.29264i 0.0674295 + 0.251650i 0.991410 0.130789i \(-0.0417509\pi\)
−0.923981 + 0.382439i \(0.875084\pi\)
\(84\) −3.35454 0.408081i −0.366010 0.0445253i
\(85\) −6.13542 22.8977i −0.665479 2.48360i
\(86\) −0.604036 + 2.25429i −0.0651349 + 0.243087i
\(87\) 13.5080 1.91382i 1.44821 0.205183i
\(88\) −0.694163 + 0.400775i −0.0739980 + 0.0427228i
\(89\) −2.84070 + 0.761164i −0.301114 + 0.0806832i −0.406213 0.913779i \(-0.633151\pi\)
0.105099 + 0.994462i \(0.466484\pi\)
\(90\) −2.45674 8.49595i −0.258963 0.895552i
\(91\) 4.43822 5.45771i 0.465252 0.572123i
\(92\) 6.05678 + 3.49688i 0.631463 + 0.364575i
\(93\) 2.48946 3.31132i 0.258145 0.343368i
\(94\) 5.33031 0.549780
\(95\) −6.73843 + 11.6713i −0.691348 + 1.19745i
\(96\) 0.209163 1.71938i 0.0213476 0.175483i
\(97\) 2.59780 + 2.59780i 0.263767 + 0.263767i 0.826582 0.562816i \(-0.190282\pi\)
−0.562816 + 0.826582i \(0.690282\pi\)
\(98\) 0.826542 3.08469i 0.0834933 0.311601i
\(99\) 2.05842 1.24309i 0.206878 0.124935i
\(100\) 1.84538 + 3.19629i 0.184538 + 0.319629i
\(101\) −6.82190 11.8159i −0.678804 1.17572i −0.975341 0.220702i \(-0.929165\pi\)
0.296537 0.955021i \(-0.404168\pi\)
\(102\) −1.68191 + 13.8258i −0.166534 + 1.36896i
\(103\) −11.6669 + 6.73592i −1.14958 + 0.663710i −0.948785 0.315924i \(-0.897686\pi\)
−0.200794 + 0.979633i \(0.564352\pi\)
\(104\) 2.79736 + 2.27482i 0.274304 + 0.223064i
\(105\) −9.86361 + 1.39748i −0.962590 + 0.136380i
\(106\) −2.14282 + 7.99713i −0.208129 + 0.776750i
\(107\) 16.0522 + 9.26775i 1.55183 + 0.895947i 0.997993 + 0.0633192i \(0.0201686\pi\)
0.553833 + 0.832628i \(0.313165\pi\)
\(108\) −0.525817 + 5.16948i −0.0505968 + 0.497433i
\(109\) 4.23071 + 4.23071i 0.405229 + 0.405229i 0.880071 0.474842i \(-0.157495\pi\)
−0.474842 + 0.880071i \(0.657495\pi\)
\(110\) −1.67088 + 1.67088i −0.159312 + 0.159312i
\(111\) 1.69434 13.9279i 0.160819 1.32198i
\(112\) −1.88454 0.504962i −0.178073 0.0477144i
\(113\) −5.17811 2.98958i −0.487116 0.281236i 0.236261 0.971690i \(-0.424078\pi\)
−0.723377 + 0.690453i \(0.757411\pi\)
\(114\) 6.23409 4.88183i 0.583876 0.457225i
\(115\) 19.9151 + 5.33625i 1.85710 + 0.497608i
\(116\) 7.87674 0.731337
\(117\) −8.52480 6.65791i −0.788118 0.615524i
\(118\) 8.82789 0.812673
\(119\) 15.1539 + 4.06048i 1.38916 + 0.372224i
\(120\) −0.716282 5.05561i −0.0653873 0.461512i
\(121\) 8.96987 + 5.17876i 0.815443 + 0.470796i
\(122\) 4.77087 + 1.27835i 0.431935 + 0.115737i
\(123\) −8.25661 + 3.51562i −0.744474 + 0.316993i
\(124\) 1.69127 1.69127i 0.151880 0.151880i
\(125\) −2.72919 2.72919i −0.244106 0.244106i
\(126\) 5.68236 + 1.40329i 0.506225 + 0.125015i
\(127\) 1.93815 + 1.11899i 0.171983 + 0.0992946i 0.583521 0.812098i \(-0.301675\pi\)
−0.411537 + 0.911393i \(0.635008\pi\)
\(128\) 0.258819 0.965926i 0.0228766 0.0853766i
\(129\) 1.51008 3.74963i 0.132955 0.330137i
\(130\) 9.70133 + 4.34328i 0.850863 + 0.380931i
\(131\) 7.37842 4.25993i 0.644656 0.372192i −0.141750 0.989903i \(-0.545273\pi\)
0.786406 + 0.617710i \(0.211940\pi\)
\(132\) 1.27735 0.543890i 0.111179 0.0473395i
\(133\) −4.45956 7.72418i −0.386693 0.669772i
\(134\) −0.388212 0.672403i −0.0335364 0.0580868i
\(135\) 2.44702 + 15.1216i 0.210606 + 1.30146i
\(136\) −2.08121 + 7.76717i −0.178462 + 0.666029i
\(137\) 8.21858 + 8.21858i 0.702161 + 0.702161i 0.964874 0.262713i \(-0.0846173\pi\)
−0.262713 + 0.964874i \(0.584617\pi\)
\(138\) −9.68245 7.27930i −0.824225 0.619655i
\(139\) −11.4143 + 19.7701i −0.968147 + 1.67688i −0.267238 + 0.963631i \(0.586111\pi\)
−0.700910 + 0.713250i \(0.747222\pi\)
\(140\) −5.75163 −0.486102
\(141\) −9.16481 1.11490i −0.771816 0.0938917i
\(142\) 2.30692 + 1.33190i 0.193593 + 0.111771i
\(143\) −0.457981 + 2.85351i −0.0382983 + 0.238623i
\(144\) −0.719258 + 2.91250i −0.0599381 + 0.242709i
\(145\) 22.4295 6.00996i 1.86267 0.499100i
\(146\) −6.96014 + 4.01844i −0.576026 + 0.332568i
\(147\) −2.06634 + 5.13087i −0.170429 + 0.423187i
\(148\) 2.09658 7.82455i 0.172338 0.643174i
\(149\) 2.01425 + 7.51729i 0.165014 + 0.615840i 0.998038 + 0.0626041i \(0.0199405\pi\)
−0.833025 + 0.553236i \(0.813393\pi\)
\(150\) −2.50435 5.88160i −0.204480 0.480231i
\(151\) 2.05706 + 7.67704i 0.167401 + 0.624748i 0.997722 + 0.0674629i \(0.0214904\pi\)
−0.830321 + 0.557285i \(0.811843\pi\)
\(152\) 3.95904 2.28576i 0.321121 0.185399i
\(153\) 5.78367 23.4199i 0.467582 1.89339i
\(154\) −0.404752 1.51056i −0.0326159 0.121724i
\(155\) 3.52554 6.10641i 0.283178 0.490479i
\(156\) −4.33390 4.49636i −0.346990 0.359997i
\(157\) 1.97021 + 3.41251i 0.157240 + 0.272348i 0.933872 0.357606i \(-0.116407\pi\)
−0.776632 + 0.629954i \(0.783074\pi\)
\(158\) −0.784177 + 0.784177i −0.0623857 + 0.0623857i
\(159\) 5.35702 13.3019i 0.424839 1.05491i
\(160\) 2.94801i 0.233061i
\(161\) −9.64846 + 9.64846i −0.760405 + 0.760405i
\(162\) 1.98534 8.77829i 0.155983 0.689688i
\(163\) −19.9290 5.33996i −1.56096 0.418258i −0.627992 0.778220i \(-0.716123\pi\)
−0.932967 + 0.359962i \(0.882790\pi\)
\(164\) −5.00455 + 1.34097i −0.390790 + 0.104712i
\(165\) 3.22235 2.52338i 0.250860 0.196445i
\(166\) 2.37352i 0.184221i
\(167\) −3.99041 3.99041i −0.308787 0.308787i 0.535652 0.844439i \(-0.320066\pi\)
−0.844439 + 0.535652i \(0.820066\pi\)
\(168\) 3.13462 + 1.26239i 0.241841 + 0.0973959i
\(169\) 12.7269 2.65042i 0.978996 0.203879i
\(170\) 23.7054i 1.81812i
\(171\) −11.7398 + 7.08976i −0.897767 + 0.542168i
\(172\) 1.16691 2.02114i 0.0889759 0.154111i
\(173\) −16.4329 −1.24937 −0.624687 0.780876i \(-0.714773\pi\)
−0.624687 + 0.780876i \(0.714773\pi\)
\(174\) −13.5431 1.64752i −1.02670 0.124898i
\(175\) −6.95539 + 1.86369i −0.525778 + 0.140882i
\(176\) 0.774238 0.207457i 0.0583604 0.0156376i
\(177\) −15.1785 1.84646i −1.14088 0.138789i
\(178\) 2.94091 0.220431
\(179\) −3.02863 + 5.24575i −0.226371 + 0.392085i −0.956730 0.290978i \(-0.906019\pi\)
0.730359 + 0.683063i \(0.239353\pi\)
\(180\) 0.174113 + 8.84231i 0.0129776 + 0.659067i
\(181\) 12.2487i 0.910436i −0.890380 0.455218i \(-0.849561\pi\)
0.890380 0.455218i \(-0.150439\pi\)
\(182\) −5.69955 + 4.12305i −0.422479 + 0.305621i
\(183\) −7.93554 3.19585i −0.586612 0.236244i
\(184\) −4.94534 4.94534i −0.364575 0.364575i
\(185\) 23.8806i 1.75573i
\(186\) −3.26167 + 2.55417i −0.239157 + 0.187281i
\(187\) −6.22578 + 1.66819i −0.455274 + 0.121990i
\(188\) −5.14869 1.37959i −0.375507 0.100617i
\(189\) −9.47659 3.60132i −0.689320 0.261957i
\(190\) 9.52957 9.52957i 0.691348 0.691348i
\(191\) 0.420709i 0.0304415i −0.999884 0.0152207i \(-0.995155\pi\)
0.999884 0.0152207i \(-0.00484510\pi\)
\(192\) −0.647043 + 1.60665i −0.0466963 + 0.115950i
\(193\) −9.60907 + 9.60907i −0.691676 + 0.691676i −0.962601 0.270924i \(-0.912671\pi\)
0.270924 + 0.962601i \(0.412671\pi\)
\(194\) −1.83692 3.18164i −0.131883 0.228429i
\(195\) −15.7718 9.49689i −1.12944 0.680086i
\(196\) −1.59676 + 2.76566i −0.114054 + 0.197547i
\(197\) 0.239457 + 0.893667i 0.0170606 + 0.0636712i 0.973931 0.226843i \(-0.0728404\pi\)
−0.956871 + 0.290514i \(0.906174\pi\)
\(198\) −2.31001 + 0.667976i −0.164165 + 0.0474710i
\(199\) 11.1074 6.41286i 0.787382 0.454595i −0.0516579 0.998665i \(-0.516451\pi\)
0.839040 + 0.544070i \(0.183117\pi\)
\(200\) −0.955238 3.56500i −0.0675455 0.252083i
\(201\) 0.526841 + 1.23731i 0.0371605 + 0.0872733i
\(202\) 3.53128 + 13.1789i 0.248460 + 0.927264i
\(203\) −3.97745 + 14.8441i −0.279162 + 1.04185i
\(204\) 5.20298 12.9194i 0.364281 0.904537i
\(205\) −13.2276 + 7.63696i −0.923855 + 0.533388i
\(206\) 13.0128 3.48677i 0.906644 0.242935i
\(207\) 15.1252 + 14.5411i 1.05127 + 1.01067i
\(208\) −2.11327 2.92131i −0.146529 0.202557i
\(209\) 3.17337 + 1.83215i 0.219507 + 0.126732i
\(210\) 9.88921 + 1.20303i 0.682421 + 0.0830167i
\(211\) 6.84606 0.471302 0.235651 0.971838i \(-0.424278\pi\)
0.235651 + 0.971838i \(0.424278\pi\)
\(212\) 4.13962 7.17003i 0.284310 0.492440i
\(213\) −3.68788 2.77256i −0.252689 0.189973i
\(214\) −13.1066 13.1066i −0.895947 0.895947i
\(215\) 1.78070 6.64568i 0.121443 0.453231i
\(216\) 1.84586 4.85724i 0.125595 0.330493i
\(217\) 2.33324 + 4.04129i 0.158390 + 0.274340i
\(218\) −2.99156 5.18154i −0.202614 0.350938i
\(219\) 12.8076 5.45341i 0.865458 0.368507i
\(220\) 2.04640 1.18149i 0.137968 0.0796560i
\(221\) 16.9932 + 23.4908i 1.14309 + 1.58016i
\(222\) −5.24141 + 13.0148i −0.351781 + 0.873497i
\(223\) 4.57899 17.0890i 0.306632 1.14436i −0.624900 0.780705i \(-0.714860\pi\)
0.931532 0.363660i \(-0.118473\pi\)
\(224\) 1.68964 + 0.975511i 0.112893 + 0.0651791i
\(225\) 3.07571 + 10.6365i 0.205047 + 0.709100i
\(226\) 4.22791 + 4.22791i 0.281236 + 0.281236i
\(227\) 13.6942 13.6942i 0.908916 0.908916i −0.0872689 0.996185i \(-0.527814\pi\)
0.996185 + 0.0872689i \(0.0278139\pi\)
\(228\) −7.28518 + 3.10199i −0.482473 + 0.205434i
\(229\) 25.0861 + 6.72179i 1.65773 + 0.444188i 0.961763 0.273882i \(-0.0883077\pi\)
0.695971 + 0.718070i \(0.254974\pi\)
\(230\) −17.8554 10.3088i −1.17735 0.679745i
\(231\) 0.379969 + 2.68187i 0.0250001 + 0.176454i
\(232\) −7.60835 2.03865i −0.499512 0.133844i
\(233\) −11.9090 −0.780184 −0.390092 0.920776i \(-0.627557\pi\)
−0.390092 + 0.920776i \(0.627557\pi\)
\(234\) 6.51113 + 8.63743i 0.425646 + 0.564646i
\(235\) −15.7138 −1.02506
\(236\) −8.52709 2.28483i −0.555066 0.148730i
\(237\) 1.51231 1.18427i 0.0982354 0.0769268i
\(238\) −13.5866 7.84425i −0.880691 0.508467i
\(239\) 8.96480 + 2.40211i 0.579885 + 0.155380i 0.536826 0.843693i \(-0.319623\pi\)
0.0430587 + 0.999073i \(0.486290\pi\)
\(240\) −0.616613 + 5.06873i −0.0398022 + 0.327185i
\(241\) −6.92428 + 6.92428i −0.446032 + 0.446032i −0.894033 0.448001i \(-0.852136\pi\)
0.448001 + 0.894033i \(0.352136\pi\)
\(242\) −7.32387 7.32387i −0.470796 0.470796i
\(243\) −5.24963 + 14.6779i −0.336764 + 0.941589i
\(244\) −4.27745 2.46959i −0.273836 0.158099i
\(245\) −2.43665 + 9.09371i −0.155672 + 0.580976i
\(246\) 8.88518 1.25886i 0.566499 0.0802619i
\(247\) 2.61202 16.2745i 0.166199 1.03552i
\(248\) −2.07137 + 1.19590i −0.131532 + 0.0759400i
\(249\) −0.496451 + 4.08097i −0.0314613 + 0.258621i
\(250\) 1.92983 + 3.34257i 0.122053 + 0.211402i
\(251\) 7.05445 + 12.2187i 0.445273 + 0.771235i 0.998071 0.0620799i \(-0.0197734\pi\)
−0.552798 + 0.833315i \(0.686440\pi\)
\(252\) −5.12554 2.82617i −0.322879 0.178032i
\(253\) 1.45090 5.41484i 0.0912174 0.340428i
\(254\) −1.58250 1.58250i −0.0992946 0.0992946i
\(255\) 4.95829 40.7585i 0.310500 2.55240i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −5.11976 −0.319362 −0.159681 0.987169i \(-0.551047\pi\)
−0.159681 + 0.987169i \(0.551047\pi\)
\(258\) −2.42910 + 3.23103i −0.151229 + 0.201155i
\(259\) 13.6870 + 7.90220i 0.850469 + 0.491019i
\(260\) −8.24664 6.70618i −0.511435 0.415900i
\(261\) 22.9410 + 5.66541i 1.42001 + 0.350680i
\(262\) −8.22956 + 2.20510i −0.508424 + 0.136232i
\(263\) 12.4904 7.21136i 0.770194 0.444671i −0.0627501 0.998029i \(-0.519987\pi\)
0.832944 + 0.553358i \(0.186654\pi\)
\(264\) −1.37460 + 0.194754i −0.0846007 + 0.0119863i
\(265\) 6.31706 23.5756i 0.388054 1.44824i
\(266\) 2.30844 + 8.61521i 0.141539 + 0.528232i
\(267\) −5.05653 0.615128i −0.309455 0.0376452i
\(268\) 0.200953 + 0.749969i 0.0122752 + 0.0458116i
\(269\) −10.3656 + 5.98459i −0.632002 + 0.364887i −0.781527 0.623871i \(-0.785559\pi\)
0.149525 + 0.988758i \(0.452226\pi\)
\(270\) 1.55011 15.2397i 0.0943370 0.927457i
\(271\) 6.16812 + 23.0197i 0.374687 + 1.39835i 0.853802 + 0.520598i \(0.174291\pi\)
−0.479115 + 0.877752i \(0.659042\pi\)
\(272\) 4.02058 6.96385i 0.243784 0.422246i
\(273\) 10.6620 5.89693i 0.645296 0.356899i
\(274\) −5.81141 10.0657i −0.351080 0.608089i
\(275\) 2.09185 2.09185i 0.126143 0.126143i
\(276\) 7.46851 + 9.53727i 0.449551 + 0.574076i
\(277\) 9.44410i 0.567441i 0.958907 + 0.283721i \(0.0915688\pi\)
−0.958907 + 0.283721i \(0.908431\pi\)
\(278\) 16.1422 16.1422i 0.968147 0.968147i
\(279\) 6.14227 3.70936i 0.367728 0.222073i
\(280\) 5.55565 + 1.48863i 0.332014 + 0.0889628i
\(281\) 18.8382 5.04768i 1.12379 0.301119i 0.351376 0.936235i \(-0.385714\pi\)
0.772417 + 0.635115i \(0.219047\pi\)
\(282\) 8.56397 + 3.44894i 0.509977 + 0.205381i
\(283\) 20.7236i 1.23189i 0.787789 + 0.615946i \(0.211226\pi\)
−0.787789 + 0.615946i \(0.788774\pi\)
\(284\) −1.88359 1.88359i −0.111771 0.111771i
\(285\) −18.3781 + 14.3917i −1.08863 + 0.852490i
\(286\) 1.18092 2.63775i 0.0698292 0.155973i
\(287\) 10.1084i 0.596682i
\(288\) 1.44856 2.62710i 0.0853573 0.154804i
\(289\) −23.8302 + 41.2751i −1.40178 + 2.42795i
\(290\) −23.2207 −1.36357
\(291\) 2.49288 + 5.85465i 0.146135 + 0.343206i
\(292\) 7.76303 2.08010i 0.454297 0.121729i
\(293\) 18.6486 4.99688i 1.08946 0.291921i 0.330996 0.943632i \(-0.392615\pi\)
0.758467 + 0.651711i \(0.225949\pi\)
\(294\) 3.32389 4.42123i 0.193853 0.257851i
\(295\) −26.0247 −1.51522
\(296\) −4.05028 + 7.01530i −0.235418 + 0.407756i
\(297\) 4.11149 0.665334i 0.238573 0.0386066i
\(298\) 7.78247i 0.450826i
\(299\) −25.0836 + 2.58415i −1.45062 + 0.149445i
\(300\) 0.896749 + 6.32937i 0.0517738 + 0.365426i
\(301\) 3.21969 + 3.21969i 0.185580 + 0.185580i
\(302\) 7.94785i 0.457348i
\(303\) −3.31506 23.3981i −0.190445 1.34418i
\(304\) −4.41574 + 1.18319i −0.253260 + 0.0678608i
\(305\) −14.0646 3.76859i −0.805335 0.215789i
\(306\) −11.6481 + 21.1250i −0.665879 + 1.20763i
\(307\) −15.5762 + 15.5762i −0.888978 + 0.888978i −0.994425 0.105447i \(-0.966373\pi\)
0.105447 + 0.994425i \(0.466373\pi\)
\(308\) 1.56384i 0.0891082i
\(309\) −23.1032 + 3.27327i −1.31429 + 0.186210i
\(310\) −4.98586 + 4.98586i −0.283178 + 0.283178i
\(311\) −4.85889 8.41584i −0.275522 0.477218i 0.694745 0.719257i \(-0.255517\pi\)
−0.970267 + 0.242038i \(0.922184\pi\)
\(312\) 3.02248 + 5.46485i 0.171114 + 0.309386i
\(313\) 2.74916 4.76168i 0.155392 0.269146i −0.777810 0.628500i \(-0.783669\pi\)
0.933202 + 0.359353i \(0.117003\pi\)
\(314\) −1.01986 3.80616i −0.0575539 0.214794i
\(315\) −16.7516 4.13691i −0.943848 0.233088i
\(316\) 0.960416 0.554497i 0.0540276 0.0311929i
\(317\) 0.270848 + 1.01082i 0.0152123 + 0.0567731i 0.973115 0.230321i \(-0.0739775\pi\)
−0.957902 + 0.287094i \(0.907311\pi\)
\(318\) −8.61726 + 11.4621i −0.483232 + 0.642764i
\(319\) −1.63408 6.09847i −0.0914910 0.341449i
\(320\) −0.763001 + 2.84756i −0.0426530 + 0.159183i
\(321\) 19.7937 + 25.2765i 1.10478 + 1.41080i
\(322\) 11.8169 6.82249i 0.658530 0.380203i
\(323\) 35.5077 9.51426i 1.97570 0.529388i
\(324\) −4.18968 + 7.96534i −0.232760 + 0.442519i
\(325\) −12.1456 5.43757i −0.673715 0.301622i
\(326\) 17.8678 + 10.3160i 0.989609 + 0.571351i
\(327\) 4.05984 + 9.53474i 0.224509 + 0.527272i
\(328\) 5.18109 0.286078
\(329\) 5.19978 9.00629i 0.286673 0.496533i
\(330\) −3.76565 + 1.60339i −0.207292 + 0.0882639i
\(331\) −8.72945 8.72945i −0.479814 0.479814i 0.425258 0.905072i \(-0.360183\pi\)
−0.905072 + 0.425258i \(0.860183\pi\)
\(332\) −0.614312 + 2.29264i −0.0337147 + 0.125825i
\(333\) 11.7342 21.2810i 0.643028 1.16619i
\(334\) 2.82165 + 4.88724i 0.154394 + 0.267418i
\(335\) 1.14445 + 1.98225i 0.0625282 + 0.108302i
\(336\) −2.70108 2.03068i −0.147356 0.110783i
\(337\) 18.3428 10.5902i 0.999195 0.576886i 0.0911852 0.995834i \(-0.470934\pi\)
0.908010 + 0.418948i \(0.137601\pi\)
\(338\) −12.9793 0.733864i −0.705979 0.0399170i
\(339\) −6.38504 8.15368i −0.346788 0.442847i
\(340\) 6.13542 22.8977i 0.332740 1.24180i
\(341\) −1.66031 0.958578i −0.0899106 0.0519099i
\(342\) 13.1748 3.80969i 0.712410 0.206005i
\(343\) −14.0628 14.0628i −0.759319 0.759319i
\(344\) −1.65026 + 1.65026i −0.0889759 + 0.0889759i
\(345\) 28.5440 + 21.4594i 1.53676 + 1.15534i
\(346\) 15.8730 + 4.25316i 0.853338 + 0.228651i
\(347\) −2.17991 1.25857i −0.117024 0.0675636i 0.440346 0.897828i \(-0.354856\pi\)
−0.557369 + 0.830265i \(0.688189\pi\)
\(348\) 12.6552 + 5.09659i 0.678390 + 0.273206i
\(349\) 17.1855 + 4.60485i 0.919921 + 0.246492i 0.687552 0.726136i \(-0.258686\pi\)
0.232369 + 0.972628i \(0.425352\pi\)
\(350\) 7.20075 0.384896
\(351\) −9.38845 16.2129i −0.501118 0.865379i
\(352\) −0.801550 −0.0427228
\(353\) −3.01498 0.807861i −0.160471 0.0429981i 0.177689 0.984087i \(-0.443138\pi\)
−0.338160 + 0.941089i \(0.609805\pi\)
\(354\) 14.1834 + 5.71202i 0.753837 + 0.303590i
\(355\) −6.80082 3.92646i −0.360950 0.208395i
\(356\) −2.84070 0.761164i −0.150557 0.0403416i
\(357\) 21.7198 + 16.3290i 1.14953 + 0.864224i
\(358\) 4.28313 4.28313i 0.226371 0.226371i
\(359\) 14.3618 + 14.3618i 0.757986 + 0.757986i 0.975956 0.217970i \(-0.0699434\pi\)
−0.217970 + 0.975956i \(0.569943\pi\)
\(360\) 2.12038 8.58608i 0.111754 0.452526i
\(361\) −1.64433 0.949354i −0.0865436 0.0499660i
\(362\) −3.17019 + 11.8313i −0.166621 + 0.621839i
\(363\) 11.0606 + 14.1244i 0.580531 + 0.741337i
\(364\) 6.57246 2.50741i 0.344491 0.131424i
\(365\) 20.5186 11.8464i 1.07399 0.620069i
\(366\) 6.83799 + 5.14083i 0.357428 + 0.268715i
\(367\) −11.6102 20.1095i −0.606049 1.04971i −0.991885 0.127141i \(-0.959420\pi\)
0.385835 0.922568i \(-0.373913\pi\)
\(368\) 3.49688 + 6.05678i 0.182288 + 0.315731i
\(369\) −15.5403 + 0.306002i −0.808994 + 0.0159298i
\(370\) −6.18074 + 23.0668i −0.321321 + 1.19919i
\(371\) 11.4219 + 11.4219i 0.592994 + 0.592994i
\(372\) 3.81160 1.62296i 0.197622 0.0841464i
\(373\) −12.6570 + 21.9226i −0.655355 + 1.13511i 0.326450 + 0.945214i \(0.394148\pi\)
−0.981805 + 0.189893i \(0.939186\pi\)
\(374\) 6.44540 0.333284
\(375\) −2.61896 6.15077i −0.135243 0.317624i
\(376\) 4.61619 + 2.66516i 0.238062 + 0.137445i
\(377\) −23.0104 + 16.6457i −1.18510 + 0.857298i
\(378\) 8.22159 + 5.93132i 0.422873 + 0.305074i
\(379\) −22.2862 + 5.97156i −1.14476 + 0.306738i −0.780865 0.624700i \(-0.785221\pi\)
−0.363898 + 0.931439i \(0.618554\pi\)
\(380\) −11.6713 + 6.73843i −0.598725 + 0.345674i
\(381\) 2.38991 + 3.05190i 0.122439 + 0.156354i
\(382\) −0.108888 + 0.406374i −0.00557117 + 0.0207919i
\(383\) −6.17345 23.0396i −0.315448 1.17727i −0.923571 0.383426i \(-0.874744\pi\)
0.608123 0.793843i \(-0.291923\pi\)
\(384\) 1.04083 1.38444i 0.0531145 0.0706495i
\(385\) 1.19321 + 4.45313i 0.0608118 + 0.226953i
\(386\) 11.7687 6.79464i 0.599009 0.345838i
\(387\) 4.85235 5.04728i 0.246659 0.256568i
\(388\) 0.950861 + 3.54866i 0.0482726 + 0.180156i
\(389\) −12.4984 + 21.6479i −0.633694 + 1.09759i 0.353096 + 0.935587i \(0.385129\pi\)
−0.986790 + 0.162004i \(0.948204\pi\)
\(390\) 12.7764 + 13.2553i 0.646957 + 0.671209i
\(391\) −28.1190 48.7035i −1.42204 2.46304i
\(392\) 2.25815 2.25815i 0.114054 0.114054i
\(393\) 14.6109 2.07009i 0.737024 0.104422i
\(394\) 0.925192i 0.0466105i
\(395\) 2.31176 2.31176i 0.116317 0.116317i
\(396\) 2.40419 0.0473406i 0.120815 0.00237896i
\(397\) 20.3908 + 5.46370i 1.02338 + 0.274215i 0.731212 0.682150i \(-0.238955\pi\)
0.292173 + 0.956366i \(0.405622\pi\)
\(398\) −12.3887 + 3.31954i −0.620989 + 0.166393i
\(399\) −2.16709 15.2956i −0.108490 0.765738i
\(400\) 3.69076i 0.184538i
\(401\) −12.5004 12.5004i −0.624242 0.624242i 0.322371 0.946613i \(-0.395520\pi\)
−0.946613 + 0.322371i \(0.895520\pi\)
\(402\) −0.188649 1.33151i −0.00940896 0.0664096i
\(403\) −1.36661 + 8.51482i −0.0680756 + 0.424154i
\(404\) 13.6438i 0.678804i
\(405\) −5.85280 + 25.8785i −0.290828 + 1.28591i
\(406\) 7.68385 13.3088i 0.381343 0.660506i
\(407\) −6.49301 −0.321847
\(408\) −8.36947 + 11.1325i −0.414350 + 0.551142i
\(409\) 20.2046 5.41382i 0.999055 0.267696i 0.278005 0.960580i \(-0.410327\pi\)
0.721050 + 0.692884i \(0.243660\pi\)
\(410\) 14.7535 3.95318i 0.728622 0.195234i
\(411\) 7.88664 + 18.5222i 0.389019 + 0.913632i
\(412\) −13.4718 −0.663710
\(413\) 8.61171 14.9159i 0.423754 0.733964i
\(414\) −10.8463 17.9603i −0.533068 0.882699i
\(415\) 6.99715i 0.343477i
\(416\) 1.28518 + 3.36873i 0.0630109 + 0.165165i
\(417\) −31.1309 + 24.3782i −1.52449 + 1.19381i
\(418\) −2.59105 2.59105i −0.126732 0.126732i
\(419\) 17.8998i 0.874462i 0.899349 + 0.437231i \(0.144041\pi\)
−0.899349 + 0.437231i \(0.855959\pi\)
\(420\) −9.24088 3.72155i −0.450909 0.181593i
\(421\) 0.922884 0.247286i 0.0449786 0.0120520i −0.236260 0.971690i \(-0.575922\pi\)
0.281238 + 0.959638i \(0.409255\pi\)
\(422\) −6.61278 1.77189i −0.321905 0.0862542i
\(423\) −14.0033 7.72128i −0.680863 0.375422i
\(424\) −5.85430 + 5.85430i −0.284310 + 0.284310i
\(425\) 29.6780i 1.43959i
\(426\) 2.84463 + 3.63258i 0.137823 + 0.175999i
\(427\) 6.81399 6.81399i 0.329752 0.329752i
\(428\) 9.26775 + 16.0522i 0.447974 + 0.775913i
\(429\) −2.58216 + 4.28827i −0.124668 + 0.207040i
\(430\) −3.44006 + 5.95835i −0.165894 + 0.287337i
\(431\) −10.1624 37.9267i −0.489507 1.82687i −0.558845 0.829272i \(-0.688755\pi\)
0.0693375 0.997593i \(-0.477911\pi\)
\(432\) −3.04011 + 4.21399i −0.146267 + 0.202746i
\(433\) 9.53436 5.50467i 0.458192 0.264537i −0.253092 0.967442i \(-0.581447\pi\)
0.711284 + 0.702905i \(0.248114\pi\)
\(434\) −1.20777 4.50747i −0.0579749 0.216365i
\(435\) 39.9251 + 4.85690i 1.91426 + 0.232871i
\(436\) 1.54855 + 5.77926i 0.0741620 + 0.276776i
\(437\) −8.27498 + 30.8826i −0.395846 + 1.47732i
\(438\) −13.7826 + 1.95273i −0.658560 + 0.0933052i
\(439\) 3.69190 2.13152i 0.176205 0.101732i −0.409304 0.912398i \(-0.634228\pi\)
0.585508 + 0.810666i \(0.300895\pi\)
\(440\) −2.28246 + 0.611584i −0.108812 + 0.0291561i
\(441\) −6.63978 + 6.90652i −0.316180 + 0.328882i
\(442\) −10.3343 27.0885i −0.491553 1.28847i
\(443\) 24.9846 + 14.4249i 1.18705 + 0.685346i 0.957636 0.287981i \(-0.0929841\pi\)
0.229419 + 0.973328i \(0.426317\pi\)
\(444\) 8.43130 11.2148i 0.400132 0.532229i
\(445\) −8.66983 −0.410989
\(446\) −8.84592 + 15.3216i −0.418866 + 0.725498i
\(447\) −1.62780 + 13.3810i −0.0769923 + 0.632899i
\(448\) −1.37958 1.37958i −0.0651791 0.0651791i
\(449\) 6.56424 24.4981i 0.309786 1.15614i −0.618961 0.785421i \(-0.712446\pi\)
0.928747 0.370714i \(-0.120887\pi\)
\(450\) −0.217981 11.0701i −0.0102757 0.521851i
\(451\) 2.07645 + 3.59652i 0.0977764 + 0.169354i
\(452\) −2.98958 5.17811i −0.140618 0.243558i
\(453\) −1.66239 + 13.6653i −0.0781060 + 0.642054i
\(454\) −16.7719 + 9.68326i −0.787144 + 0.454458i
\(455\) 16.8023 12.1548i 0.787705 0.569825i
\(456\) 7.83979 1.11075i 0.367132 0.0520155i
\(457\) −7.44528 + 27.7862i −0.348275 + 1.29978i 0.540463 + 0.841368i \(0.318249\pi\)
−0.888739 + 0.458414i \(0.848418\pi\)
\(458\) −22.4916 12.9855i −1.05096 0.606773i
\(459\) 24.4460 33.8854i 1.14104 1.58164i
\(460\) 14.5789 + 14.5789i 0.679745 + 0.679745i
\(461\) 26.1642 26.1642i 1.21859 1.21859i 0.250464 0.968126i \(-0.419417\pi\)
0.968126 0.250464i \(-0.0805832\pi\)
\(462\) 0.327097 2.68883i 0.0152179 0.125096i
\(463\) −2.40613 0.644720i −0.111822 0.0299627i 0.202474 0.979288i \(-0.435102\pi\)
−0.314296 + 0.949325i \(0.601769\pi\)
\(464\) 6.82146 + 3.93837i 0.316678 + 0.182834i
\(465\) 9.61543 7.52972i 0.445905 0.349182i
\(466\) 11.5032 + 3.08227i 0.532875 + 0.142784i
\(467\) −31.2741 −1.44719 −0.723596 0.690223i \(-0.757512\pi\)
−0.723596 + 0.690223i \(0.757512\pi\)
\(468\) −4.05374 10.0283i −0.187384 0.463559i
\(469\) −1.51482 −0.0699480
\(470\) 15.1784 + 4.06703i 0.700126 + 0.187598i
\(471\) 0.957412 + 6.75753i 0.0441152 + 0.311371i
\(472\) 7.64518 + 4.41394i 0.351898 + 0.203168i
\(473\) −1.80693 0.484165i −0.0830827 0.0222619i
\(474\) −1.76730 + 0.752505i −0.0811746 + 0.0345637i
\(475\) −11.9305 + 11.9305i −0.547411 + 0.547411i
\(476\) 11.0934 + 11.0934i 0.508467 + 0.508467i
\(477\) 17.2137 17.9053i 0.788163 0.819826i
\(478\) −8.03762 4.64052i −0.367632 0.212253i
\(479\) 1.43340 5.34951i 0.0654936 0.244426i −0.925416 0.378952i \(-0.876285\pi\)
0.990910 + 0.134526i \(0.0429513\pi\)
\(480\) 1.90749 4.73643i 0.0870645 0.216187i
\(481\) 10.4107 + 27.2886i 0.474685 + 1.24425i
\(482\) 8.48048 4.89621i 0.386275 0.223016i
\(483\) −21.7447 + 9.25877i −0.989418 + 0.421289i
\(484\) 5.17876 + 8.96987i 0.235398 + 0.407721i
\(485\) 5.41526 + 9.37951i 0.245894 + 0.425902i
\(486\) 8.86968 12.8191i 0.402337 0.581485i
\(487\) −0.759319 + 2.83382i −0.0344080 + 0.128412i −0.980994 0.194040i \(-0.937841\pi\)
0.946586 + 0.322453i \(0.104507\pi\)
\(488\) 3.49252 + 3.49252i 0.158099 + 0.158099i
\(489\) −28.5638 21.4744i −1.29170 0.971105i
\(490\) 4.70725 8.15320i 0.212652 0.368324i
\(491\) −35.6988 −1.61106 −0.805531 0.592553i \(-0.798120\pi\)
−0.805531 + 0.592553i \(0.798120\pi\)
\(492\) −8.90824 1.08369i −0.401615 0.0488566i
\(493\) −54.8525 31.6691i −2.47043 1.42630i
\(494\) −6.73518 + 15.0440i −0.303030 + 0.676860i
\(495\) 6.80994 1.96920i 0.306084 0.0885090i
\(496\) 2.31031 0.619046i 0.103736 0.0277960i
\(497\) 4.50085 2.59857i 0.201891 0.116562i
\(498\) 1.53577 3.81342i 0.0688194 0.170883i
\(499\) 4.71922 17.6124i 0.211261 0.788438i −0.776188 0.630502i \(-0.782849\pi\)
0.987449 0.157936i \(-0.0504841\pi\)
\(500\) −0.998954 3.72815i −0.0446746 0.166728i
\(501\) −3.82924 8.99318i −0.171078 0.401786i
\(502\) −3.65165 13.6281i −0.162981 0.608254i
\(503\) 20.2816 11.7096i 0.904310 0.522104i 0.0257142 0.999669i \(-0.491814\pi\)
0.878596 + 0.477565i \(0.158481\pi\)
\(504\) 4.21942 + 4.05646i 0.187948 + 0.180689i
\(505\) −10.4102 38.8515i −0.463249 1.72887i
\(506\) −2.80293 + 4.85481i −0.124605 + 0.215823i
\(507\) 22.1627 + 3.97657i 0.984282 + 0.176605i
\(508\) 1.11899 + 1.93815i 0.0496473 + 0.0859917i
\(509\) 2.33968 2.33968i 0.103705 0.103705i −0.653351 0.757055i \(-0.726637\pi\)
0.757055 + 0.653351i \(0.226637\pi\)
\(510\) −15.3384 + 38.0864i −0.679197 + 1.68649i
\(511\) 15.6801i 0.693648i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −23.4492 + 3.79462i −1.03531 + 0.167537i
\(514\) 4.94531 + 1.32509i 0.218128 + 0.0584473i
\(515\) −38.3618 + 10.2790i −1.69042 + 0.452948i
\(516\) 3.18258 2.49224i 0.140105 0.109715i
\(517\) 4.27252i 0.187905i
\(518\) −11.1754 11.1754i −0.491019 0.491019i
\(519\) −26.4020 10.6328i −1.15892 0.466729i
\(520\) 6.22995 + 8.61206i 0.273201 + 0.377664i
\(521\) 7.00178i 0.306754i 0.988168 + 0.153377i \(0.0490148\pi\)
−0.988168 + 0.153377i \(0.950985\pi\)
\(522\) −20.6930 11.4099i −0.905709 0.499399i
\(523\) −21.4957 + 37.2316i −0.939940 + 1.62802i −0.174360 + 0.984682i \(0.555786\pi\)
−0.765580 + 0.643341i \(0.777548\pi\)
\(524\) 8.51987 0.372192
\(525\) −12.3808 1.50613i −0.540342 0.0657328i
\(526\) −13.9313 + 3.73287i −0.607433 + 0.162761i
\(527\) −18.5776 + 4.97785i −0.809253 + 0.216839i
\(528\) 1.37817 + 0.167654i 0.0599770 + 0.00729622i
\(529\) 25.9127 1.12664
\(530\) −12.2036 + 21.1373i −0.530092 + 0.918146i
\(531\) −23.1918 12.7877i −1.00644 0.554940i
\(532\) 8.91912i 0.386693i
\(533\) 11.7860 14.4934i 0.510510 0.627778i
\(534\) 4.72503 + 1.90289i 0.204472 + 0.0823463i
\(535\) 38.6383 + 38.6383i 1.67048 + 1.67048i
\(536\) 0.776425i 0.0335364i
\(537\) −8.26018 + 6.46844i −0.356453 + 0.279134i
\(538\) 11.5613 3.09785i 0.498445 0.133558i
\(539\) 2.47254 + 0.662515i 0.106500 + 0.0285365i
\(540\) −5.44161 + 14.3192i −0.234170 + 0.616200i
\(541\) 8.12664 8.12664i 0.349391 0.349391i −0.510491 0.859883i \(-0.670536\pi\)
0.859883 + 0.510491i \(0.170536\pi\)
\(542\) 23.8318i 1.02366i
\(543\) 7.92540 19.6794i 0.340112 0.844522i
\(544\) −5.68596 + 5.68596i −0.243784 + 0.243784i
\(545\) 8.81916 + 15.2752i 0.377771 + 0.654319i
\(546\) −11.8250 + 2.93646i −0.506063 + 0.125669i
\(547\) 2.01972 3.49826i 0.0863570 0.149575i −0.819612 0.572919i \(-0.805811\pi\)
0.905969 + 0.423345i \(0.139144\pi\)
\(548\) 3.00821 + 11.2268i 0.128504 + 0.479585i
\(549\) −10.6818 10.2693i −0.455888 0.438281i
\(550\) −2.56199 + 1.47916i −0.109243 + 0.0630717i
\(551\) 9.31971 + 34.7816i 0.397033 + 1.48175i
\(552\) −4.74560 11.1453i −0.201986 0.474375i
\(553\) 0.559999 + 2.08995i 0.0238136 + 0.0888735i
\(554\) 2.44431 9.12230i 0.103849 0.387570i
\(555\) 15.4517 38.3678i 0.655890 1.62862i
\(556\) −19.7701 + 11.4143i −0.838440 + 0.484074i
\(557\) −22.2275 + 5.95584i −0.941810 + 0.252357i −0.696883 0.717185i \(-0.745430\pi\)
−0.244926 + 0.969542i \(0.578764\pi\)
\(558\) −6.89303 + 1.99323i −0.291805 + 0.0843801i
\(559\) 0.862329 + 8.37039i 0.0364726 + 0.354030i
\(560\) −4.98106 2.87582i −0.210488 0.121525i
\(561\) −11.0821 1.34814i −0.467885 0.0569184i
\(562\) −19.5027 −0.822674
\(563\) 2.44455 4.23408i 0.103025 0.178445i −0.809904 0.586562i \(-0.800481\pi\)
0.912930 + 0.408117i \(0.133814\pi\)
\(564\) −7.37951 5.54794i −0.310733 0.233610i
\(565\) −12.4639 12.4639i −0.524361 0.524361i
\(566\) 5.36367 20.0175i 0.225452 0.841397i
\(567\) −12.8954 11.9178i −0.541556 0.500501i
\(568\) 1.33190 + 2.30692i 0.0558853 + 0.0967963i
\(569\) −10.6832 18.5038i −0.447863 0.775721i 0.550384 0.834912i \(-0.314481\pi\)
−0.998247 + 0.0591908i \(0.981148\pi\)
\(570\) 21.4768 9.14469i 0.899563 0.383029i
\(571\) 21.5820 12.4604i 0.903179 0.521451i 0.0249486 0.999689i \(-0.492058\pi\)
0.878230 + 0.478238i \(0.158724\pi\)
\(572\) −1.82338 + 2.24222i −0.0762393 + 0.0937521i
\(573\) 0.272217 0.675934i 0.0113720 0.0282376i
\(574\) −2.61625 + 9.76399i −0.109200 + 0.407541i
\(575\) 22.3541 + 12.9061i 0.932230 + 0.538223i
\(576\) −2.07915 + 2.16267i −0.0866311 + 0.0901113i
\(577\) −4.11164 4.11164i −0.171170 0.171170i 0.616323 0.787493i \(-0.288621\pi\)
−0.787493 + 0.616323i \(0.788621\pi\)
\(578\) 33.7010 33.7010i 1.40178 1.40178i
\(579\) −21.6559 + 9.22097i −0.899990 + 0.383211i
\(580\) 22.4295 + 6.00996i 0.931333 + 0.249550i
\(581\) −4.01038 2.31539i −0.166379 0.0960587i
\(582\) −0.892639 6.30036i −0.0370011 0.261158i
\(583\) −6.41010 1.71758i −0.265479 0.0711350i
\(584\) −8.03688 −0.332568
\(585\) −19.1949 25.4632i −0.793610 1.05277i
\(586\) −19.3065 −0.797542
\(587\) −17.3963 4.66134i −0.718024 0.192394i −0.118734 0.992926i \(-0.537884\pi\)
−0.599290 + 0.800532i \(0.704550\pi\)
\(588\) −4.35493 + 3.41029i −0.179594 + 0.140638i
\(589\) 9.46928 + 5.46709i 0.390175 + 0.225268i
\(590\) 25.1379 + 6.73569i 1.03491 + 0.277304i
\(591\) −0.193516 + 1.59075i −0.00796017 + 0.0654348i
\(592\) 5.72797 5.72797i 0.235418 0.235418i
\(593\) 8.08152 + 8.08152i 0.331868 + 0.331868i 0.853296 0.521427i \(-0.174600\pi\)
−0.521427 + 0.853296i \(0.674600\pi\)
\(594\) −4.14360 0.421469i −0.170014 0.0172931i
\(595\) 40.0535 + 23.1249i 1.64203 + 0.948029i
\(596\) −2.01425 + 7.51729i −0.0825069 + 0.307920i
\(597\) 21.9951 3.11628i 0.900201 0.127541i
\(598\) 24.8977 + 3.99602i 1.01814 + 0.163410i
\(599\) −0.103217 + 0.0595921i −0.00421731 + 0.00243487i −0.502107 0.864805i \(-0.667442\pi\)
0.497890 + 0.867240i \(0.334108\pi\)
\(600\) 0.771968 6.34580i 0.0315155 0.259066i
\(601\) −13.5435 23.4581i −0.552452 0.956875i −0.998097 0.0616651i \(-0.980359\pi\)
0.445645 0.895210i \(-0.352974\pi\)
\(602\) −2.27666 3.94330i −0.0927899 0.160717i
\(603\) 0.0458567 + 2.32882i 0.00186743 + 0.0948370i
\(604\) −2.05706 + 7.67704i −0.0837004 + 0.312374i
\(605\) 21.5908 + 21.5908i 0.877792 + 0.877792i
\(606\) −2.85377 + 23.4588i −0.115927 + 0.952949i
\(607\) 9.24915 16.0200i 0.375412 0.650232i −0.614977 0.788545i \(-0.710835\pi\)
0.990389 + 0.138313i \(0.0441680\pi\)
\(608\) 4.57151 0.185399
\(609\) −15.9951 + 21.2757i −0.648155 + 0.862134i
\(610\) 12.6100 + 7.28036i 0.510562 + 0.294773i
\(611\) 17.9564 6.85039i 0.726437 0.277137i
\(612\) 16.7188 17.3904i 0.675816 0.702965i
\(613\) −21.0392 + 5.63743i −0.849764 + 0.227694i −0.657317 0.753614i \(-0.728309\pi\)
−0.192447 + 0.981307i \(0.561642\pi\)
\(614\) 19.0768 11.0140i 0.769878 0.444489i
\(615\) −26.1936 + 3.71113i −1.05623 + 0.149647i
\(616\) 0.404752 1.51056i 0.0163079 0.0608620i
\(617\) 0.679941 + 2.53758i 0.0273734 + 0.102159i 0.978261 0.207377i \(-0.0664928\pi\)
−0.950888 + 0.309536i \(0.899826\pi\)
\(618\) 23.1631 + 2.81780i 0.931758 + 0.113349i
\(619\) −3.69004 13.7714i −0.148315 0.553520i −0.999585 0.0287923i \(-0.990834\pi\)
0.851270 0.524728i \(-0.175833\pi\)
\(620\) 6.10641 3.52554i 0.245239 0.141589i
\(621\) 14.8923 + 33.1491i 0.597607 + 1.33023i
\(622\) 2.51514 + 9.38665i 0.100848 + 0.376370i
\(623\) 2.86889 4.96907i 0.114940 0.199081i
\(624\) −1.50509 6.06092i −0.0602517 0.242631i
\(625\) −14.9160 25.8354i −0.596642 1.03341i
\(626\) −3.88790 + 3.88790i −0.155392 + 0.155392i
\(627\) 3.91303 + 4.99693i 0.156272 + 0.199558i
\(628\) 3.94043i 0.157240i
\(629\) −46.0595 + 46.0595i −1.83651 + 1.83651i
\(630\) 15.1101 + 8.33159i 0.602002 + 0.331938i
\(631\) 34.0030 + 9.11109i 1.35364 + 0.362707i 0.861477 0.507797i \(-0.169540\pi\)
0.492163 + 0.870503i \(0.336206\pi\)
\(632\) −1.07121 + 0.287029i −0.0426103 + 0.0114174i
\(633\) 10.9992 + 4.42969i 0.437181 + 0.176064i
\(634\) 1.04647i 0.0415608i
\(635\) 4.66521 + 4.66521i 0.185133 + 0.185133i
\(636\) 11.2902 8.84124i 0.447687 0.350578i
\(637\) −1.17998 11.4537i −0.0467525 0.453814i
\(638\) 6.31360i 0.249958i
\(639\) −4.13118 6.84076i −0.163427 0.270616i
\(640\) 1.47400 2.55305i 0.0582651 0.100918i
\(641\) 5.81916 0.229843 0.114922 0.993375i \(-0.463338\pi\)
0.114922 + 0.993375i \(0.463338\pi\)
\(642\) −12.5772 29.5382i −0.496383 1.16578i
\(643\) 5.74185 1.53852i 0.226436 0.0606735i −0.143817 0.989604i \(-0.545938\pi\)
0.370253 + 0.928931i \(0.379271\pi\)
\(644\) −13.1800 + 3.53158i −0.519367 + 0.139164i
\(645\) 7.16101 9.52511i 0.281964 0.375051i
\(646\) −36.7603 −1.44631
\(647\) −2.47586 + 4.28832i −0.0973362 + 0.168591i −0.910581 0.413330i \(-0.864366\pi\)
0.813245 + 0.581921i \(0.197699\pi\)
\(648\) 6.10850 6.60956i 0.239965 0.259648i
\(649\) 7.07600i 0.277757i
\(650\) 10.3244 + 8.39579i 0.404955 + 0.329310i
\(651\) 1.13382 + 8.00265i 0.0444379 + 0.313649i
\(652\) −14.5890 14.5890i −0.571351 0.571351i
\(653\) 20.4897i 0.801824i 0.916117 + 0.400912i \(0.131307\pi\)
−0.916117 + 0.400912i \(0.868693\pi\)
\(654\) −1.45373 10.2606i −0.0568453 0.401222i
\(655\) 24.2608 6.50067i 0.947949 0.254002i
\(656\) −5.00455 1.34097i −0.195395 0.0523559i
\(657\) 24.1060 0.474669i 0.940463 0.0185186i
\(658\) −7.35360 + 7.35360i −0.286673 + 0.286673i
\(659\) 4.80810i 0.187297i −0.995605 0.0936484i \(-0.970147\pi\)
0.995605 0.0936484i \(-0.0298530\pi\)
\(660\) 4.05233 0.574136i 0.157737 0.0223482i
\(661\) −28.8974 + 28.8974i −1.12398 + 1.12398i −0.132839 + 0.991138i \(0.542409\pi\)
−0.991138 + 0.132839i \(0.957591\pi\)
\(662\) 6.17265 + 10.6913i 0.239907 + 0.415531i
\(663\) 12.1027 + 48.7368i 0.470028 + 1.89278i
\(664\) 1.18676 2.05553i 0.0460552 0.0797699i
\(665\) −6.80530 25.3977i −0.263898 0.984881i
\(666\) −16.8423 + 17.5189i −0.652625 + 0.678843i
\(667\) 47.7077 27.5440i 1.84725 1.06651i
\(668\) −1.46059 5.45101i −0.0565120 0.210906i
\(669\) 18.4142 24.4933i 0.711932 0.946966i
\(670\) −0.592413 2.21091i −0.0228869 0.0854151i
\(671\) −1.02466 + 3.82410i −0.0395567 + 0.147628i
\(672\) 2.08346 + 2.66057i 0.0803713 + 0.102634i
\(673\) 22.6393 13.0708i 0.872680 0.503842i 0.00444195 0.999990i \(-0.498586\pi\)
0.868238 + 0.496148i \(0.165253\pi\)
\(674\) −20.4587 + 5.48190i −0.788040 + 0.211155i
\(675\) −1.94066 + 19.0793i −0.0746962 + 0.734362i
\(676\) 12.3471 + 4.06814i 0.474887 + 0.156467i
\(677\) −34.5645 19.9558i −1.32842 0.766964i −0.343365 0.939202i \(-0.611567\pi\)
−0.985055 + 0.172238i \(0.944900\pi\)
\(678\) 4.05715 + 9.52842i 0.155814 + 0.365937i
\(679\) −7.16775 −0.275073
\(680\) −11.8527 + 20.5295i −0.454531 + 0.787271i
\(681\) 30.8626 13.1411i 1.18266 0.503568i
\(682\) 1.35563 + 1.35563i 0.0519099 + 0.0519099i
\(683\) −9.69531 + 36.1834i −0.370981 + 1.38452i 0.488148 + 0.872761i \(0.337673\pi\)
−0.859129 + 0.511759i \(0.828994\pi\)
\(684\) −13.7119 + 0.270000i −0.524287 + 0.0103237i
\(685\) 17.1321 + 29.6737i 0.654584 + 1.13377i
\(686\) 9.94388 + 17.2233i 0.379659 + 0.657589i
\(687\) 35.9553 + 27.0313i 1.37178 + 1.03131i
\(688\) 2.02114 1.16691i 0.0770554 0.0444880i
\(689\) 3.05912 + 29.6941i 0.116543 + 1.13125i
\(690\) −22.0172 28.1160i −0.838182 1.07036i
\(691\) 12.0361 44.9193i 0.457875 1.70881i −0.221621 0.975133i \(-0.571135\pi\)
0.679496 0.733679i \(-0.262199\pi\)
\(692\) −14.2313 8.21647i −0.540994 0.312343i
\(693\) −1.12481 + 4.55470i −0.0427279 + 0.173019i
\(694\) 1.77989 + 1.77989i 0.0675636 + 0.0675636i
\(695\) −47.5875 + 47.5875i −1.80510 + 1.80510i
\(696\) −10.9049 8.19833i −0.413349 0.310757i
\(697\) 40.2424 + 10.7829i 1.52429 + 0.408433i
\(698\) −15.4081 8.89589i −0.583206 0.336714i
\(699\) −19.1336 7.70562i −0.723700 0.291453i
\(700\) −6.95539 1.86369i −0.262889 0.0704409i
\(701\) 27.1053 1.02375 0.511876 0.859059i \(-0.328951\pi\)
0.511876 + 0.859059i \(0.328951\pi\)
\(702\) 4.87235 + 18.0903i 0.183895 + 0.682776i
\(703\) 37.0318 1.39668
\(704\) 0.774238 + 0.207457i 0.0291802 + 0.00781881i
\(705\) −25.2467 10.1675i −0.950844 0.382930i
\(706\) 2.70316 + 1.56067i 0.101735 + 0.0587365i
\(707\) 25.7123 + 6.88960i 0.967012 + 0.259110i
\(708\) −12.2217 9.18831i −0.459319 0.345318i
\(709\) 32.1360 32.1360i 1.20689 1.20689i 0.234865 0.972028i \(-0.424535\pi\)
0.972028 0.234865i \(-0.0754647\pi\)
\(710\) 5.55285 + 5.55285i 0.208395 + 0.208395i
\(711\) 3.19604 0.924186i 0.119861 0.0346597i
\(712\) 2.54690 + 1.47046i 0.0954492 + 0.0551076i
\(713\) 4.32946 16.1578i 0.162140 0.605113i
\(714\) −16.7535 21.3941i −0.626982 0.800655i
\(715\) −3.48136 + 7.77610i −0.130196 + 0.290810i
\(716\) −5.24575 + 3.02863i −0.196043 + 0.113185i
\(717\) 12.8491 + 9.65997i 0.479857 + 0.360758i
\(718\) −10.1553 17.5895i −0.378993 0.656435i
\(719\) −10.2199 17.7014i −0.381138 0.660150i 0.610087 0.792334i \(-0.291134\pi\)
−0.991225 + 0.132184i \(0.957801\pi\)
\(720\) −4.27037 + 7.74472i −0.159147 + 0.288629i
\(721\) 6.80276 25.3882i 0.253348 0.945508i
\(722\) 1.34259 + 1.34259i 0.0499660 + 0.0499660i
\(723\) −15.6052 + 6.64462i −0.580365 + 0.247116i
\(724\) 6.12433 10.6077i 0.227609 0.394230i
\(725\) 29.0711 1.07967
\(726\) −7.02807 16.5058i −0.260836 0.612587i
\(727\) 25.7087 + 14.8430i 0.953485 + 0.550495i 0.894162 0.447744i \(-0.147773\pi\)
0.0593229 + 0.998239i \(0.481106\pi\)
\(728\) −6.99748 + 0.720889i −0.259344 + 0.0267179i
\(729\) −17.9316 + 20.1856i −0.664133 + 0.747615i
\(730\) −22.8855 + 6.13215i −0.847030 + 0.226961i
\(731\) −16.2524 + 9.38330i −0.601115 + 0.347054i
\(732\) −5.27445 6.73546i −0.194949 0.248950i
\(733\) −0.441496 + 1.64769i −0.0163070 + 0.0608587i −0.973600 0.228261i \(-0.926696\pi\)
0.957293 + 0.289120i \(0.0933626\pi\)
\(734\) 6.00990 + 22.4293i 0.221829 + 0.827879i
\(735\) −9.79887 + 13.0338i −0.361437 + 0.480760i
\(736\) −1.81012 6.75546i −0.0667219 0.249009i
\(737\) 0.538965 0.311172i 0.0198530 0.0114622i
\(738\) 15.0899 + 3.72654i 0.555469 + 0.137176i
\(739\) −12.2243 45.6218i −0.449679 1.67822i −0.703279 0.710914i \(-0.748281\pi\)
0.253600 0.967309i \(-0.418385\pi\)
\(740\) 11.9403 20.6812i 0.438933 0.760255i
\(741\) 14.7269 24.4575i 0.541007 0.898467i
\(742\) −8.07649 13.9889i −0.296497 0.513548i
\(743\) −22.8373 + 22.8373i −0.837819 + 0.837819i −0.988571 0.150753i \(-0.951830\pi\)
0.150753 + 0.988571i \(0.451830\pi\)
\(744\) −4.10177 + 0.581142i −0.150378 + 0.0213057i
\(745\) 22.9428i 0.840558i
\(746\) 17.8997 17.8997i 0.655355 0.655355i
\(747\) −3.43818 + 6.23548i −0.125797 + 0.228144i
\(748\) −6.22578 1.66819i −0.227637 0.0609952i
\(749\) −34.9309 + 9.35972i −1.27635 + 0.341997i
\(750\) 0.937788 + 6.61903i 0.0342432 + 0.241693i
\(751\) 36.8858i 1.34598i 0.739651 + 0.672991i \(0.234991\pi\)
−0.739651 + 0.672991i \(0.765009\pi\)
\(752\) −3.76910 3.76910i −0.137445 0.137445i
\(753\) 3.42806 + 24.1957i 0.124925 + 0.881740i
\(754\) 26.5346 10.1230i 0.966333 0.368658i
\(755\) 23.4303i 0.852717i
\(756\) −6.40631 7.85712i −0.232995 0.285761i
\(757\) −6.73813 + 11.6708i −0.244902 + 0.424182i −0.962104 0.272683i \(-0.912089\pi\)
0.717202 + 0.696865i \(0.245422\pi\)
\(758\) 23.0723 0.838025
\(759\) 5.83473 7.76097i 0.211787 0.281706i
\(760\) 13.0176 3.48807i 0.472199 0.126525i
\(761\) −39.5762 + 10.6044i −1.43463 + 0.384409i −0.890651 0.454687i \(-0.849751\pi\)
−0.543983 + 0.839096i \(0.683085\pi\)
\(762\) −1.51858 3.56647i −0.0550124 0.129199i
\(763\) −11.6732 −0.422599
\(764\) 0.210355 0.364345i 0.00761037 0.0131815i
\(765\) 34.3388 62.2766i 1.24152 2.25162i
\(766\) 23.8524i 0.861821i
\(767\) 29.7388 11.3454i 1.07380 0.409658i
\(768\) −1.36368 + 1.06788i −0.0492076 + 0.0385339i
\(769\) −15.4846 15.4846i −0.558390 0.558390i 0.370459