Properties

Label 225.2.q.a.31.15
Level $225$
Weight $2$
Character 225.31
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [225,2,Mod(16,225)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(225, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([20, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("225.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), 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: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 31.15
Character \(\chi\) \(=\) 225.31
Dual form 225.2.q.a.196.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.110043 + 0.122216i) q^{2} +(-0.385619 - 1.68858i) q^{3} +(0.206230 + 1.96215i) q^{4} +(-2.06082 + 0.867759i) q^{5} +(0.248806 + 0.138688i) q^{6} +(2.06663 + 3.57951i) q^{7} +(-0.528597 - 0.384048i) q^{8} +(-2.70260 + 1.30230i) q^{9} +O(q^{10})\) \(q+(-0.110043 + 0.122216i) q^{2} +(-0.385619 - 1.68858i) q^{3} +(0.206230 + 1.96215i) q^{4} +(-2.06082 + 0.867759i) q^{5} +(0.248806 + 0.138688i) q^{6} +(2.06663 + 3.57951i) q^{7} +(-0.528597 - 0.384048i) q^{8} +(-2.70260 + 1.30230i) q^{9} +(0.120726 - 0.347356i) q^{10} +(-0.239690 + 0.266203i) q^{11} +(3.23371 - 1.10488i) q^{12} +(1.23537 + 1.37202i) q^{13} +(-0.664892 - 0.141327i) q^{14} +(2.25997 + 3.14524i) q^{15} +(-3.75457 + 0.798059i) q^{16} +(3.22940 + 2.34629i) q^{17} +(0.138242 - 0.473609i) q^{18} +(-0.0599095 - 0.0435268i) q^{19} +(-2.12767 - 3.86468i) q^{20} +(5.24736 - 4.87000i) q^{21} +(-0.00615783 - 0.0585878i) q^{22} +(4.28234 + 0.910239i) q^{23} +(-0.444658 + 1.04067i) q^{24} +(3.49399 - 3.57660i) q^{25} -0.303627 q^{26} +(3.24120 + 4.06136i) q^{27} +(-6.59733 + 4.79324i) q^{28} +(-5.93713 - 2.64338i) q^{29} +(-0.633093 - 0.0699089i) q^{30} +(-4.95171 + 2.20464i) q^{31} +(0.969013 - 1.67838i) q^{32} +(0.541934 + 0.302083i) q^{33} +(-0.642128 + 0.136489i) q^{34} +(-7.36512 - 5.58341i) q^{35} +(-3.11265 - 5.03431i) q^{36} +(2.37480 - 7.30889i) q^{37} +(0.0119123 - 0.00253204i) q^{38} +(1.84038 - 2.61510i) q^{39} +(1.42261 + 0.332761i) q^{40} +(3.14813 + 3.49635i) q^{41} +(0.0177530 + 1.17722i) q^{42} +(1.55061 + 2.68574i) q^{43} +(-0.571760 - 0.415408i) q^{44} +(4.43949 - 5.02901i) q^{45} +(-0.582489 + 0.423203i) q^{46} +(-11.8169 - 5.26122i) q^{47} +(2.79542 + 6.03215i) q^{48} +(-5.04195 + 8.73292i) q^{49} +(0.0526256 + 0.820601i) q^{50} +(2.71659 - 6.35787i) q^{51} +(-2.43733 + 2.70693i) q^{52} +(1.53179 - 1.11291i) q^{53} +(-0.853034 - 0.0508000i) q^{54} +(0.262959 - 0.756591i) q^{55} +(0.282290 - 2.68581i) q^{56} +(-0.0503961 + 0.117947i) q^{57} +(0.976404 - 0.434723i) q^{58} +(3.31117 + 3.67743i) q^{59} +(-5.70534 + 5.08304i) q^{60} +(6.08932 - 6.76288i) q^{61} +(0.275461 - 0.847783i) q^{62} +(-10.2469 - 6.98261i) q^{63} +(-2.27380 - 6.99805i) q^{64} +(-3.73647 - 1.75549i) q^{65} +(-0.0965556 + 0.0329906i) q^{66} +(13.1648 - 5.86135i) q^{67} +(-3.93777 + 6.82042i) q^{68} +(-0.114341 - 7.58207i) q^{69} +(1.49286 - 0.285716i) q^{70} +(10.8652 - 7.89400i) q^{71} +(1.92873 + 0.349537i) q^{72} +(4.15877 + 12.7994i) q^{73} +(0.631930 + 1.09453i) q^{74} +(-7.38671 - 4.52067i) q^{75} +(0.0730507 - 0.126528i) q^{76} +(-1.44823 - 0.307831i) q^{77} +(0.117084 + 0.512698i) q^{78} +(-5.47332 - 2.43688i) q^{79} +(7.04499 - 4.90273i) q^{80} +(5.60805 - 7.03916i) q^{81} -0.773739 q^{82} +(0.301668 - 2.87018i) q^{83} +(10.6378 + 9.29174i) q^{84} +(-8.69124 - 2.03296i) q^{85} +(-0.498874 - 0.106039i) q^{86} +(-2.17408 + 11.0446i) q^{87} +(0.228934 - 0.0486615i) q^{88} +(2.21408 + 6.81425i) q^{89} +(0.126086 + 1.09598i) q^{90} +(-2.35810 + 7.25750i) q^{91} +(-0.902876 + 8.59029i) q^{92} +(5.63219 + 7.51120i) q^{93} +(1.94338 - 0.865246i) q^{94} +(0.161234 + 0.0377140i) q^{95} +(-3.20775 - 0.989039i) q^{96} +(9.65762 + 4.29985i) q^{97} +(-0.512465 - 1.57721i) q^{98} +(0.301111 - 1.03159i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.110043 + 0.122216i −0.0778125 + 0.0864195i −0.780794 0.624789i \(-0.785185\pi\)
0.702981 + 0.711208i \(0.251852\pi\)
\(3\) −0.385619 1.68858i −0.222637 0.974901i
\(4\) 0.206230 + 1.96215i 0.103115 + 0.981073i
\(5\) −2.06082 + 0.867759i −0.921628 + 0.388074i
\(6\) 0.248806 + 0.138688i 0.101574 + 0.0566193i
\(7\) 2.06663 + 3.57951i 0.781114 + 1.35293i 0.931293 + 0.364271i \(0.118682\pi\)
−0.150179 + 0.988659i \(0.547985\pi\)
\(8\) −0.528597 0.384048i −0.186887 0.135782i
\(9\) −2.70260 + 1.30230i −0.900865 + 0.434099i
\(10\) 0.120726 0.347356i 0.0381771 0.109844i
\(11\) −0.239690 + 0.266203i −0.0722693 + 0.0802632i −0.778195 0.628023i \(-0.783865\pi\)
0.705926 + 0.708286i \(0.250531\pi\)
\(12\) 3.23371 1.10488i 0.933492 0.318950i
\(13\) 1.23537 + 1.37202i 0.342631 + 0.380530i 0.889691 0.456563i \(-0.150920\pi\)
−0.547060 + 0.837093i \(0.684253\pi\)
\(14\) −0.664892 0.141327i −0.177700 0.0377713i
\(15\) 2.25997 + 3.14524i 0.583522 + 0.812097i
\(16\) −3.75457 + 0.798059i −0.938644 + 0.199515i
\(17\) 3.22940 + 2.34629i 0.783244 + 0.569060i 0.905951 0.423383i \(-0.139157\pi\)
−0.122707 + 0.992443i \(0.539157\pi\)
\(18\) 0.138242 0.473609i 0.0325840 0.111631i
\(19\) −0.0599095 0.0435268i −0.0137442 0.00998573i 0.580892 0.813981i \(-0.302704\pi\)
−0.594636 + 0.803995i \(0.702704\pi\)
\(20\) −2.12767 3.86468i −0.475762 0.864168i
\(21\) 5.24736 4.87000i 1.14507 1.06272i
\(22\) −0.00615783 0.0585878i −0.00131285 0.0124910i
\(23\) 4.28234 + 0.910239i 0.892929 + 0.189798i 0.631455 0.775413i \(-0.282458\pi\)
0.261474 + 0.965210i \(0.415791\pi\)
\(24\) −0.444658 + 1.04067i −0.0907655 + 0.212427i
\(25\) 3.49399 3.57660i 0.698798 0.715319i
\(26\) −0.303627 −0.0595462
\(27\) 3.24120 + 4.06136i 0.623770 + 0.781608i
\(28\) −6.59733 + 4.79324i −1.24678 + 0.905837i
\(29\) −5.93713 2.64338i −1.10250 0.490863i −0.226906 0.973917i \(-0.572861\pi\)
−0.875591 + 0.483054i \(0.839528\pi\)
\(30\) −0.633093 0.0699089i −0.115586 0.0127636i
\(31\) −4.95171 + 2.20464i −0.889353 + 0.395966i −0.799976 0.600032i \(-0.795154\pi\)
−0.0893776 + 0.995998i \(0.528488\pi\)
\(32\) 0.969013 1.67838i 0.171299 0.296698i
\(33\) 0.541934 + 0.302083i 0.0943386 + 0.0525859i
\(34\) −0.642128 + 0.136489i −0.110124 + 0.0234076i
\(35\) −7.36512 5.58341i −1.24493 0.943768i
\(36\) −3.11265 5.03431i −0.518775 0.839052i
\(37\) 2.37480 7.30889i 0.390415 1.20157i −0.542060 0.840340i \(-0.682355\pi\)
0.932475 0.361235i \(-0.117645\pi\)
\(38\) 0.0119123 0.00253204i 0.00193243 0.000410751i
\(39\) 1.84038 2.61510i 0.294697 0.418751i
\(40\) 1.42261 + 0.332761i 0.224934 + 0.0526141i
\(41\) 3.14813 + 3.49635i 0.491655 + 0.546038i 0.937004 0.349319i \(-0.113587\pi\)
−0.445349 + 0.895357i \(0.646920\pi\)
\(42\) 0.0177530 + 1.17722i 0.00273935 + 0.181649i
\(43\) 1.55061 + 2.68574i 0.236466 + 0.409571i 0.959698 0.281034i \(-0.0906775\pi\)
−0.723232 + 0.690605i \(0.757344\pi\)
\(44\) −0.571760 0.415408i −0.0861961 0.0626252i
\(45\) 4.43949 5.02901i 0.661801 0.749680i
\(46\) −0.582489 + 0.423203i −0.0858833 + 0.0623979i
\(47\) −11.8169 5.26122i −1.72367 0.767428i −0.996737 0.0807203i \(-0.974278\pi\)
−0.726934 0.686707i \(-0.759055\pi\)
\(48\) 2.79542 + 6.03215i 0.403484 + 0.870666i
\(49\) −5.04195 + 8.73292i −0.720279 + 1.24756i
\(50\) 0.0526256 + 0.820601i 0.00744238 + 0.116051i
\(51\) 2.71659 6.35787i 0.380398 0.890280i
\(52\) −2.43733 + 2.70693i −0.337997 + 0.375384i
\(53\) 1.53179 1.11291i 0.210408 0.152870i −0.477590 0.878583i \(-0.658490\pi\)
0.687998 + 0.725712i \(0.258490\pi\)
\(54\) −0.853034 0.0508000i −0.116083 0.00691300i
\(55\) 0.262959 0.756591i 0.0354574 0.102019i
\(56\) 0.282290 2.68581i 0.0377225 0.358906i
\(57\) −0.0503961 + 0.117947i −0.00667513 + 0.0156224i
\(58\) 0.976404 0.434723i 0.128208 0.0570820i
\(59\) 3.31117 + 3.67743i 0.431078 + 0.478760i 0.919074 0.394086i \(-0.128939\pi\)
−0.487996 + 0.872846i \(0.662272\pi\)
\(60\) −5.70534 + 5.08304i −0.736557 + 0.656217i
\(61\) 6.08932 6.76288i 0.779658 0.865898i −0.214174 0.976796i \(-0.568706\pi\)
0.993832 + 0.110898i \(0.0353726\pi\)
\(62\) 0.275461 0.847783i 0.0349836 0.107669i
\(63\) −10.2469 6.98261i −1.29098 0.879726i
\(64\) −2.27380 6.99805i −0.284226 0.874756i
\(65\) −3.73647 1.75549i −0.463452 0.217741i
\(66\) −0.0965556 + 0.0329906i −0.0118852 + 0.00406086i
\(67\) 13.1648 5.86135i 1.60834 0.716078i 0.611184 0.791488i \(-0.290693\pi\)
0.997153 + 0.0754107i \(0.0240268\pi\)
\(68\) −3.93777 + 6.82042i −0.477525 + 0.827098i
\(69\) −0.114341 7.58207i −0.0137650 0.912774i
\(70\) 1.49286 0.285716i 0.178431 0.0341496i
\(71\) 10.8652 7.89400i 1.28946 0.936845i 0.289662 0.957129i \(-0.406457\pi\)
0.999794 + 0.0202841i \(0.00645707\pi\)
\(72\) 1.92873 + 0.349537i 0.227303 + 0.0411933i
\(73\) 4.15877 + 12.7994i 0.486747 + 1.49805i 0.829435 + 0.558603i \(0.188663\pi\)
−0.342688 + 0.939449i \(0.611337\pi\)
\(74\) 0.631930 + 1.09453i 0.0734603 + 0.127237i
\(75\) −7.38671 4.52067i −0.852944 0.522002i
\(76\) 0.0730507 0.126528i 0.00837950 0.0145137i
\(77\) −1.44823 0.307831i −0.165041 0.0350806i
\(78\) 0.117084 + 0.512698i 0.0132572 + 0.0580516i
\(79\) −5.47332 2.43688i −0.615797 0.274170i 0.0750407 0.997180i \(-0.476091\pi\)
−0.690837 + 0.723010i \(0.742758\pi\)
\(80\) 7.04499 4.90273i 0.787654 0.548141i
\(81\) 5.60805 7.03916i 0.623117 0.782129i
\(82\) −0.773739 −0.0854452
\(83\) 0.301668 2.87018i 0.0331123 0.315043i −0.965412 0.260730i \(-0.916037\pi\)
0.998524 0.0543124i \(-0.0172967\pi\)
\(84\) 10.6378 + 9.29174i 1.16068 + 1.01381i
\(85\) −8.69124 2.03296i −0.942697 0.220506i
\(86\) −0.498874 0.106039i −0.0537949 0.0114345i
\(87\) −2.17408 + 11.0446i −0.233086 + 1.18411i
\(88\) 0.228934 0.0486615i 0.0244045 0.00518733i
\(89\) 2.21408 + 6.81425i 0.234692 + 0.722309i 0.997162 + 0.0752851i \(0.0239867\pi\)
−0.762470 + 0.647024i \(0.776013\pi\)
\(90\) 0.126086 + 1.09598i 0.0132906 + 0.115527i
\(91\) −2.35810 + 7.25750i −0.247196 + 0.760792i
\(92\) −0.902876 + 8.59029i −0.0941313 + 0.895600i
\(93\) 5.63219 + 7.51120i 0.584031 + 0.778875i
\(94\) 1.94338 0.865246i 0.200444 0.0892434i
\(95\) 0.161234 + 0.0377140i 0.0165422 + 0.00386938i
\(96\) −3.20775 0.989039i −0.327389 0.100943i
\(97\) 9.65762 + 4.29985i 0.980583 + 0.436584i 0.833487 0.552539i \(-0.186341\pi\)
0.147095 + 0.989122i \(0.453008\pi\)
\(98\) −0.512465 1.57721i −0.0517668 0.159322i
\(99\) 0.301111 1.03159i 0.0302628 0.103678i
\(100\) 7.73837 + 6.11811i 0.773837 + 0.611811i
\(101\) 8.75862 + 15.1704i 0.871516 + 1.50951i 0.860429 + 0.509571i \(0.170196\pi\)
0.0110870 + 0.999939i \(0.496471\pi\)
\(102\) 0.478089 + 1.03165i 0.0473378 + 0.102149i
\(103\) −1.25065 11.8991i −0.123230 1.17245i −0.864990 0.501788i \(-0.832676\pi\)
0.741761 0.670665i \(-0.233991\pi\)
\(104\) −0.126092 1.19969i −0.0123644 0.117639i
\(105\) −6.58789 + 14.5897i −0.642912 + 1.42381i
\(106\) −0.0325485 + 0.309678i −0.00316138 + 0.0300786i
\(107\) −8.49063 −0.820820 −0.410410 0.911901i \(-0.634614\pi\)
−0.410410 + 0.911901i \(0.634614\pi\)
\(108\) −7.30054 + 7.19728i −0.702495 + 0.692559i
\(109\) 2.49526 7.67961i 0.239002 0.735573i −0.757563 0.652762i \(-0.773610\pi\)
0.996565 0.0828110i \(-0.0263898\pi\)
\(110\) 0.0635303 + 0.115396i 0.00605738 + 0.0110025i
\(111\) −13.2574 1.19159i −1.25834 0.113101i
\(112\) −10.6160 11.7903i −1.00312 1.11407i
\(113\) 5.95046 + 6.60865i 0.559772 + 0.621690i 0.954897 0.296938i \(-0.0959654\pi\)
−0.395125 + 0.918627i \(0.629299\pi\)
\(114\) −0.00886915 0.0191385i −0.000830672 0.00179248i
\(115\) −9.61501 + 1.84020i −0.896604 + 0.171599i
\(116\) 3.96228 12.1946i 0.367889 1.13224i
\(117\) −5.12549 2.09919i −0.473852 0.194071i
\(118\) −0.813812 −0.0749175
\(119\) −1.72461 + 16.4086i −0.158095 + 1.50417i
\(120\) 0.0133085 2.53050i 0.00121489 0.231002i
\(121\) 1.13640 + 10.8121i 0.103309 + 0.982921i
\(122\) 0.156439 + 1.48842i 0.0141634 + 0.134755i
\(123\) 4.68988 6.66412i 0.422872 0.600883i
\(124\) −5.34702 9.26131i −0.480177 0.831691i
\(125\) −4.09687 + 10.4027i −0.366435 + 0.930444i
\(126\) 1.98099 0.483936i 0.176480 0.0431125i
\(127\) −1.00273 3.08608i −0.0889778 0.273845i 0.896660 0.442720i \(-0.145987\pi\)
−0.985637 + 0.168875i \(0.945987\pi\)
\(128\) 4.64644 + 2.06873i 0.410691 + 0.182851i
\(129\) 3.93713 3.65400i 0.346645 0.321717i
\(130\) 0.625722 0.263475i 0.0548794 0.0231083i
\(131\) −7.86032 + 3.49964i −0.686759 + 0.305765i −0.720290 0.693673i \(-0.755991\pi\)
0.0335311 + 0.999438i \(0.489325\pi\)
\(132\) −0.480968 + 1.12565i −0.0418629 + 0.0979754i
\(133\) 0.0319938 0.304401i 0.00277421 0.0263949i
\(134\) −0.732352 + 2.25395i −0.0632656 + 0.194711i
\(135\) −10.2038 5.55715i −0.878205 0.478284i
\(136\) −0.805959 2.48049i −0.0691105 0.212700i
\(137\) 5.60580 1.19155i 0.478936 0.101801i 0.0378831 0.999282i \(-0.487939\pi\)
0.441053 + 0.897481i \(0.354605\pi\)
\(138\) 0.939230 + 0.820383i 0.0799526 + 0.0698357i
\(139\) −16.2222 3.44813i −1.37595 0.292466i −0.540179 0.841550i \(-0.681643\pi\)
−0.835767 + 0.549084i \(0.814977\pi\)
\(140\) 9.43655 15.6029i 0.797534 1.31869i
\(141\) −4.32716 + 21.9826i −0.364413 + 1.85127i
\(142\) −0.230869 + 2.19657i −0.0193741 + 0.184332i
\(143\) −0.661343 −0.0553043
\(144\) 9.10779 7.04640i 0.758982 0.587200i
\(145\) 14.5292 + 0.295542i 1.20658 + 0.0245434i
\(146\) −2.02193 0.900220i −0.167336 0.0745028i
\(147\) 16.6905 + 5.14615i 1.37661 + 0.424447i
\(148\) 14.8309 + 3.15240i 1.21909 + 0.259126i
\(149\) −3.50472 + 6.07035i −0.287118 + 0.497302i −0.973120 0.230297i \(-0.926030\pi\)
0.686003 + 0.727599i \(0.259364\pi\)
\(150\) 1.36536 0.405302i 0.111481 0.0330928i
\(151\) 2.35416 + 4.07752i 0.191579 + 0.331824i 0.945774 0.324827i \(-0.105306\pi\)
−0.754195 + 0.656651i \(0.771973\pi\)
\(152\) 0.0149516 + 0.0460162i 0.00121273 + 0.00373241i
\(153\) −11.7833 2.13545i −0.952626 0.172641i
\(154\) 0.196990 0.143122i 0.0158739 0.0115331i
\(155\) 8.29150 8.84027i 0.665989 0.710068i
\(156\) 5.51075 + 3.07178i 0.441213 + 0.245939i
\(157\) 8.51816 14.7539i 0.679823 1.17749i −0.295210 0.955432i \(-0.595390\pi\)
0.975034 0.222057i \(-0.0712770\pi\)
\(158\) 0.900128 0.400763i 0.0716104 0.0318830i
\(159\) −2.46993 2.15739i −0.195878 0.171092i
\(160\) −0.540535 + 4.29971i −0.0427331 + 0.339922i
\(161\) 5.59181 + 17.2098i 0.440696 + 1.35632i
\(162\) 0.243167 + 1.46001i 0.0191050 + 0.114709i
\(163\) 0.313473 0.964770i 0.0245531 0.0755666i −0.938029 0.346556i \(-0.887351\pi\)
0.962582 + 0.270990i \(0.0873509\pi\)
\(164\) −6.21111 + 6.89813i −0.485006 + 0.538654i
\(165\) −1.37897 0.152272i −0.107352 0.0118543i
\(166\) 0.317584 + 0.352713i 0.0246493 + 0.0273758i
\(167\) 3.50153 1.55898i 0.270956 0.120637i −0.266761 0.963763i \(-0.585953\pi\)
0.537717 + 0.843125i \(0.319287\pi\)
\(168\) −4.64405 + 0.559030i −0.358296 + 0.0431301i
\(169\) 1.00258 9.53887i 0.0771212 0.733760i
\(170\) 1.20487 0.838491i 0.0924096 0.0643094i
\(171\) 0.218596 + 0.0396154i 0.0167164 + 0.00302947i
\(172\) −4.95002 + 3.59640i −0.377436 + 0.274223i
\(173\) 14.8429 16.4847i 1.12849 1.25331i 0.164785 0.986329i \(-0.447307\pi\)
0.963701 0.266982i \(-0.0860265\pi\)
\(174\) −1.11058 1.48110i −0.0841932 0.112282i
\(175\) 20.0233 + 5.11527i 1.51362 + 0.386678i
\(176\) 0.687489 1.19077i 0.0518215 0.0897574i
\(177\) 4.93277 7.00926i 0.370770 0.526848i
\(178\) −1.07645 0.479268i −0.0806836 0.0359227i
\(179\) 11.8426 8.60413i 0.885156 0.643103i −0.0494548 0.998776i \(-0.515748\pi\)
0.934610 + 0.355673i \(0.115748\pi\)
\(180\) 10.7832 + 7.67380i 0.803732 + 0.571972i
\(181\) −13.9341 10.1237i −1.03571 0.752489i −0.0662678 0.997802i \(-0.521109\pi\)
−0.969444 + 0.245313i \(0.921109\pi\)
\(182\) −0.627486 1.08684i −0.0465123 0.0805617i
\(183\) −13.7678 7.67440i −1.01775 0.567308i
\(184\) −1.91405 2.12577i −0.141106 0.156714i
\(185\) 1.44831 + 17.1231i 0.106482 + 1.25892i
\(186\) −1.53777 0.138217i −0.112755 0.0101346i
\(187\) −1.39865 + 0.297291i −0.102279 + 0.0217401i
\(188\) 7.88628 24.2715i 0.575166 1.77018i
\(189\) −7.83930 + 19.9953i −0.570225 + 1.45444i
\(190\) −0.0223519 + 0.0155551i −0.00162158 + 0.00112848i
\(191\) −0.569688 + 0.121091i −0.0412212 + 0.00876184i −0.228476 0.973550i \(-0.573374\pi\)
0.187255 + 0.982311i \(0.440041\pi\)
\(192\) −10.9399 + 6.53808i −0.789522 + 0.471845i
\(193\) −4.64632 + 8.04765i −0.334449 + 0.579283i −0.983379 0.181565i \(-0.941884\pi\)
0.648930 + 0.760848i \(0.275217\pi\)
\(194\) −1.58827 + 0.707142i −0.114031 + 0.0507698i
\(195\) −1.52342 + 6.98627i −0.109095 + 0.500297i
\(196\) −18.1751 8.09205i −1.29822 0.578004i
\(197\) −3.47512 + 2.52482i −0.247592 + 0.179886i −0.704659 0.709546i \(-0.748900\pi\)
0.457067 + 0.889432i \(0.348900\pi\)
\(198\) 0.0929408 + 0.150320i 0.00660502 + 0.0106828i
\(199\) −3.20175 −0.226966 −0.113483 0.993540i \(-0.536201\pi\)
−0.113483 + 0.993540i \(0.536201\pi\)
\(200\) −3.22050 + 0.548719i −0.227723 + 0.0388003i
\(201\) −14.9739 19.9696i −1.05618 1.40854i
\(202\) −2.81789 0.598961i −0.198266 0.0421427i
\(203\) −2.80785 26.7149i −0.197073 1.87502i
\(204\) 13.0353 + 4.01916i 0.912654 + 0.281397i
\(205\) −9.52172 4.47354i −0.665026 0.312446i
\(206\) 1.59188 + 1.15657i 0.110912 + 0.0805820i
\(207\) −12.7588 + 3.11686i −0.886800 + 0.216637i
\(208\) −5.73325 4.16545i −0.397529 0.288822i
\(209\) 0.0259467 0.00551514i 0.00179477 0.000381490i
\(210\) −1.05813 2.41064i −0.0730180 0.166350i
\(211\) 7.09956 + 1.50906i 0.488754 + 0.103888i 0.445695 0.895185i \(-0.352956\pi\)
0.0430586 + 0.999073i \(0.486290\pi\)
\(212\) 2.49960 + 2.77608i 0.171673 + 0.190662i
\(213\) −17.5194 15.3026i −1.20041 1.04852i
\(214\) 0.934339 1.03769i 0.0638701 0.0709349i
\(215\) −5.52611 4.18927i −0.376877 0.285706i
\(216\) −0.153534 3.39160i −0.0104466 0.230769i
\(217\) −18.1249 13.1685i −1.23040 0.893938i
\(218\) 0.663982 + 1.15005i 0.0449705 + 0.0778912i
\(219\) 20.0090 11.9581i 1.35209 0.808052i
\(220\) 1.53877 + 0.359933i 0.103744 + 0.0242667i
\(221\) 0.770345 + 7.32935i 0.0518190 + 0.493025i
\(222\) 1.60452 1.48914i 0.107689 0.0999443i
\(223\) −0.398119 + 0.442156i −0.0266600 + 0.0296090i −0.756327 0.654193i \(-0.773008\pi\)
0.729667 + 0.683802i \(0.239675\pi\)
\(224\) 8.01038 0.535216
\(225\) −4.78505 + 14.2163i −0.319003 + 0.947754i
\(226\) −1.46249 −0.0972834
\(227\) −6.17937 + 6.86289i −0.410139 + 0.455506i −0.912454 0.409179i \(-0.865815\pi\)
0.502315 + 0.864685i \(0.332482\pi\)
\(228\) −0.241822 0.0745605i −0.0160150 0.00493789i
\(229\) −0.272928 2.59673i −0.0180356 0.171597i 0.981796 0.189937i \(-0.0608285\pi\)
−0.999832 + 0.0183402i \(0.994162\pi\)
\(230\) 0.833169 1.37761i 0.0549375 0.0908367i
\(231\) 0.0386686 + 2.56416i 0.00254421 + 0.168709i
\(232\) 2.12316 + 3.67742i 0.139392 + 0.241435i
\(233\) 5.35177 + 3.88829i 0.350606 + 0.254730i 0.749123 0.662431i \(-0.230475\pi\)
−0.398517 + 0.917161i \(0.630475\pi\)
\(234\) 0.820581 0.395412i 0.0536431 0.0258489i
\(235\) 28.9180 + 0.588229i 1.88640 + 0.0383718i
\(236\) −6.53279 + 7.25539i −0.425248 + 0.472286i
\(237\) −2.00425 + 10.1818i −0.130190 + 0.661382i
\(238\) −1.81561 2.01644i −0.117688 0.130706i
\(239\) −16.1587 3.43464i −1.04522 0.222168i −0.346861 0.937917i \(-0.612752\pi\)
−0.698358 + 0.715748i \(0.746086\pi\)
\(240\) −10.9953 10.0054i −0.709745 0.645848i
\(241\) −7.35486 + 1.56332i −0.473768 + 0.100703i −0.438607 0.898679i \(-0.644528\pi\)
−0.0351616 + 0.999382i \(0.511195\pi\)
\(242\) −1.44646 1.05092i −0.0929823 0.0675556i
\(243\) −14.0487 6.75520i −0.901228 0.433346i
\(244\) 14.5256 + 10.5534i 0.929903 + 0.675614i
\(245\) 2.81250 22.3722i 0.179684 1.42931i
\(246\) 0.298369 + 1.30652i 0.0190233 + 0.0833007i
\(247\) −0.0142909 0.135969i −0.000909308 0.00865148i
\(248\) 3.46415 + 0.736327i 0.219974 + 0.0467568i
\(249\) −4.96285 + 0.597405i −0.314508 + 0.0378590i
\(250\) −0.820536 1.64545i −0.0518953 0.104067i
\(251\) −19.2136 −1.21275 −0.606377 0.795177i \(-0.707378\pi\)
−0.606377 + 0.795177i \(0.707378\pi\)
\(252\) 11.5877 21.5459i 0.729956 1.35726i
\(253\) −1.26874 + 0.921796i −0.0797652 + 0.0579528i
\(254\) 0.487511 + 0.217054i 0.0305892 + 0.0136192i
\(255\) −0.0813064 + 15.4598i −0.00509160 + 0.968129i
\(256\) 12.6799 5.64547i 0.792496 0.352842i
\(257\) −9.44838 + 16.3651i −0.589374 + 1.02083i 0.404941 + 0.914343i \(0.367292\pi\)
−0.994315 + 0.106483i \(0.966041\pi\)
\(258\) 0.0133202 + 0.883278i 0.000829281 + 0.0549905i
\(259\) 31.0701 6.60416i 1.93060 0.410363i
\(260\) 2.67395 7.69353i 0.165831 0.477132i
\(261\) 19.4881 0.587913i 1.20628 0.0363909i
\(262\) 0.437266 1.34577i 0.0270144 0.0831417i
\(263\) −15.8269 + 3.36410i −0.975926 + 0.207439i −0.668156 0.744021i \(-0.732916\pi\)
−0.307770 + 0.951461i \(0.599583\pi\)
\(264\) −0.170450 0.367809i −0.0104905 0.0226371i
\(265\) −2.19101 + 3.62274i −0.134593 + 0.222543i
\(266\) 0.0336818 + 0.0374075i 0.00206517 + 0.00229360i
\(267\) 10.6526 6.36636i 0.651929 0.389615i
\(268\) 14.2158 + 24.6225i 0.868368 + 1.50406i
\(269\) −1.72574 1.25382i −0.105220 0.0764469i 0.533931 0.845528i \(-0.320714\pi\)
−0.639151 + 0.769081i \(0.720714\pi\)
\(270\) 1.80204 0.635539i 0.109668 0.0386776i
\(271\) −13.1625 + 9.56310i −0.799563 + 0.580917i −0.910786 0.412879i \(-0.864523\pi\)
0.111223 + 0.993796i \(0.464523\pi\)
\(272\) −13.9975 6.23209i −0.848723 0.377876i
\(273\) 13.1642 + 1.18321i 0.796733 + 0.0716114i
\(274\) −0.471256 + 0.816239i −0.0284696 + 0.0493108i
\(275\) 0.114626 + 1.78739i 0.00691221 + 0.107783i
\(276\) 14.8535 1.78800i 0.894078 0.107625i
\(277\) −5.70183 + 6.33252i −0.342590 + 0.380484i −0.889676 0.456591i \(-0.849070\pi\)
0.547087 + 0.837076i \(0.315737\pi\)
\(278\) 2.20656 1.60316i 0.132341 0.0961511i
\(279\) 10.5114 12.4069i 0.629299 0.742779i
\(280\) 1.74888 + 5.77993i 0.104516 + 0.345417i
\(281\) 0.868414 8.26241i 0.0518052 0.492894i −0.937600 0.347715i \(-0.886958\pi\)
0.989405 0.145179i \(-0.0463757\pi\)
\(282\) −2.21044 2.94789i −0.131630 0.175544i
\(283\) 4.78188 2.12903i 0.284253 0.126558i −0.259657 0.965701i \(-0.583610\pi\)
0.543911 + 0.839143i \(0.316943\pi\)
\(284\) 17.7299 + 19.6910i 1.05208 + 1.16845i
\(285\) 0.00150834 0.286799i 8.93462e−5 0.0169885i
\(286\) 0.0727764 0.0808264i 0.00430336 0.00477937i
\(287\) −6.00921 + 18.4944i −0.354712 + 1.09169i
\(288\) −0.433103 + 5.79792i −0.0255208 + 0.341646i
\(289\) −0.329378 1.01372i −0.0193752 0.0596307i
\(290\) −1.63496 + 1.74317i −0.0960083 + 0.102363i
\(291\) 3.53647 17.9658i 0.207312 1.05317i
\(292\) −24.2566 + 10.7997i −1.41951 + 0.632006i
\(293\) −10.1972 + 17.6621i −0.595728 + 1.03183i 0.397715 + 0.917509i \(0.369803\pi\)
−0.993444 + 0.114323i \(0.963530\pi\)
\(294\) −2.46562 + 1.47354i −0.143798 + 0.0859385i
\(295\) −10.0149 4.70523i −0.583088 0.273949i
\(296\) −4.06228 + 2.95142i −0.236115 + 0.171548i
\(297\) −1.85803 0.110650i −0.107814 0.00642054i
\(298\) −0.356220 1.09633i −0.0206353 0.0635089i
\(299\) 4.04142 + 6.99994i 0.233721 + 0.404817i
\(300\) 7.34685 15.4261i 0.424171 0.890627i
\(301\) −6.40909 + 11.1009i −0.369414 + 0.639843i
\(302\) −0.757397 0.160990i −0.0435833 0.00926392i
\(303\) 22.2389 20.6396i 1.27759 1.18571i
\(304\) 0.259671 + 0.115613i 0.0148932 + 0.00663087i
\(305\) −6.68047 + 19.2212i −0.382523 + 1.10060i
\(306\) 1.55766 1.20511i 0.0890457 0.0688918i
\(307\) 8.63664 0.492919 0.246459 0.969153i \(-0.420733\pi\)
0.246459 + 0.969153i \(0.420733\pi\)
\(308\) 0.305341 2.90512i 0.0173984 0.165535i
\(309\) −19.6103 + 6.70033i −1.11559 + 0.381169i
\(310\) 0.167994 + 1.98617i 0.00954143 + 0.112807i
\(311\) 13.1734 + 2.80008i 0.746992 + 0.158778i 0.565654 0.824643i \(-0.308624\pi\)
0.181338 + 0.983421i \(0.441957\pi\)
\(312\) −1.97714 + 0.675539i −0.111934 + 0.0382449i
\(313\) 7.14512 1.51874i 0.403866 0.0858443i −0.00150004 0.999999i \(-0.500477\pi\)
0.405366 + 0.914155i \(0.367144\pi\)
\(314\) 0.865788 + 2.66462i 0.0488593 + 0.150373i
\(315\) 27.1762 + 5.49812i 1.53121 + 0.309784i
\(316\) 3.65275 11.2420i 0.205483 0.632413i
\(317\) 2.42838 23.1045i 0.136391 1.29768i −0.685517 0.728057i \(-0.740424\pi\)
0.821908 0.569620i \(-0.192910\pi\)
\(318\) 0.535467 0.0644571i 0.0300275 0.00361457i
\(319\) 2.12675 0.946889i 0.119075 0.0530156i
\(320\) 10.7585 + 12.4486i 0.601420 + 0.695900i
\(321\) 3.27415 + 14.3371i 0.182745 + 0.800219i
\(322\) −2.71865 1.21042i −0.151505 0.0674542i
\(323\) −0.0913448 0.281131i −0.00508256 0.0156425i
\(324\) 14.9684 + 9.55212i 0.831578 + 0.530674i
\(325\) 9.22354 + 0.375392i 0.511630 + 0.0208230i
\(326\) 0.0834143 + 0.144478i 0.00461989 + 0.00800189i
\(327\) −13.9298 1.25203i −0.770322 0.0692376i
\(328\) −0.321324 3.05719i −0.0177421 0.168805i
\(329\) −5.58858 53.1718i −0.308108 2.93145i
\(330\) 0.170356 0.151775i 0.00937780 0.00835492i
\(331\) −2.81073 + 26.7423i −0.154492 + 1.46989i 0.592775 + 0.805368i \(0.298032\pi\)
−0.747267 + 0.664524i \(0.768634\pi\)
\(332\) 5.69392 0.312494
\(333\) 3.10021 + 22.8457i 0.169891 + 1.25194i
\(334\) −0.194788 + 0.599497i −0.0106583 + 0.0328030i
\(335\) −22.0441 + 23.5031i −1.20440 + 1.28411i
\(336\) −15.8150 + 22.4725i −0.862782 + 1.22598i
\(337\) 5.77004 + 6.40828i 0.314314 + 0.349081i 0.879514 0.475873i \(-0.157868\pi\)
−0.565200 + 0.824954i \(0.691201\pi\)
\(338\) 1.05547 + 1.17222i 0.0574102 + 0.0637604i
\(339\) 8.86462 12.5962i 0.481460 0.684134i
\(340\) 2.19657 17.4727i 0.119126 0.947592i
\(341\) 0.599994 1.84659i 0.0324915 0.0999986i
\(342\) −0.0288967 + 0.0223564i −0.00156255 + 0.00120890i
\(343\) −12.7466 −0.688251
\(344\) 0.211804 2.01518i 0.0114197 0.108651i
\(345\) 6.81505 + 15.5261i 0.366910 + 0.835897i
\(346\) 0.381326 + 3.62808i 0.0205002 + 0.195047i
\(347\) −3.67108 34.9280i −0.197074 1.87503i −0.430404 0.902636i \(-0.641629\pi\)
0.233330 0.972398i \(-0.425038\pi\)
\(348\) −22.1196 1.98814i −1.18573 0.106575i
\(349\) 10.5156 + 18.2135i 0.562886 + 0.974946i 0.997243 + 0.0742057i \(0.0236421\pi\)
−0.434357 + 0.900741i \(0.643025\pi\)
\(350\) −2.82860 + 1.88426i −0.151195 + 0.100718i
\(351\) −1.56817 + 9.46428i −0.0837027 + 0.505166i
\(352\) 0.214527 + 0.660245i 0.0114343 + 0.0351912i
\(353\) 17.9989 + 8.01363i 0.957985 + 0.426523i 0.825337 0.564641i \(-0.190985\pi\)
0.132649 + 0.991163i \(0.457652\pi\)
\(354\) 0.313821 + 1.37419i 0.0166794 + 0.0730371i
\(355\) −15.5411 + 25.6965i −0.824835 + 1.36383i
\(356\) −12.9139 + 5.74966i −0.684438 + 0.304731i
\(357\) 28.3723 3.41533i 1.50162 0.180758i
\(358\) −0.251638 + 2.39418i −0.0132995 + 0.126536i
\(359\) −0.938606 + 2.88873i −0.0495377 + 0.152461i −0.972765 0.231792i \(-0.925541\pi\)
0.923228 + 0.384253i \(0.125541\pi\)
\(360\) −4.27808 + 0.953337i −0.225475 + 0.0502453i
\(361\) −5.86963 18.0649i −0.308928 0.950782i
\(362\) 2.77063 0.588915i 0.145621 0.0309527i
\(363\) 17.8189 6.08826i 0.935250 0.319551i
\(364\) −14.7266 3.13023i −0.771882 0.164069i
\(365\) −19.6773 22.7684i −1.02995 1.19175i
\(366\) 2.45299 0.838124i 0.128220 0.0438094i
\(367\) 0.759260 7.22388i 0.0396330 0.377083i −0.956670 0.291175i \(-0.905954\pi\)
0.996303 0.0859088i \(-0.0273794\pi\)
\(368\) −16.8048 −0.876010
\(369\) −13.0614 5.34942i −0.679949 0.278480i
\(370\) −2.25209 1.70728i −0.117080 0.0887572i
\(371\) 7.14934 + 3.18309i 0.371175 + 0.165258i
\(372\) −13.5765 + 12.6002i −0.703911 + 0.653290i
\(373\) −10.3292 2.19554i −0.534825 0.113681i −0.0674212 0.997725i \(-0.521477\pi\)
−0.467404 + 0.884044i \(0.654810\pi\)
\(374\) 0.117578 0.203651i 0.00607983 0.0105306i
\(375\) 19.1456 + 2.90641i 0.988673 + 0.150087i
\(376\) 4.22581 + 7.31932i 0.217930 + 0.377465i
\(377\) −3.70779 11.4114i −0.190961 0.587718i
\(378\) −1.58107 3.15843i −0.0813215 0.162452i
\(379\) −28.5159 + 20.7180i −1.46476 + 1.06421i −0.482673 + 0.875801i \(0.660334\pi\)
−0.982090 + 0.188412i \(0.939666\pi\)
\(380\) −0.0407492 + 0.324142i −0.00209039 + 0.0166281i
\(381\) −4.82442 + 2.88324i −0.247163 + 0.147713i
\(382\) 0.0478913 0.0829501i 0.00245033 0.00424410i
\(383\) −5.70095 + 2.53823i −0.291305 + 0.129697i −0.547186 0.837011i \(-0.684301\pi\)
0.255881 + 0.966708i \(0.417634\pi\)
\(384\) 1.70145 8.64362i 0.0868270 0.441093i
\(385\) 3.25167 0.622330i 0.165720 0.0317169i
\(386\) −0.472253 1.45344i −0.0240370 0.0739784i
\(387\) −7.68830 5.23910i −0.390818 0.266319i
\(388\) −6.44524 + 19.8364i −0.327208 + 1.00704i
\(389\) 19.0702 21.1796i 0.966899 1.07385i −0.0303363 0.999540i \(-0.509658\pi\)
0.997235 0.0743103i \(-0.0236755\pi\)
\(390\) −0.686189 0.954979i −0.0347465 0.0483573i
\(391\) 11.6937 + 12.9872i 0.591375 + 0.656788i
\(392\) 6.01902 2.67984i 0.304006 0.135352i
\(393\) 8.94050 + 11.9232i 0.450989 + 0.601448i
\(394\) 0.0738414 0.702554i 0.00372008 0.0353942i
\(395\) 13.3942 + 0.272455i 0.673934 + 0.0137087i
\(396\) 2.08622 + 0.378079i 0.104837 + 0.0189992i
\(397\) −4.87063 + 3.53872i −0.244450 + 0.177603i −0.703263 0.710929i \(-0.748275\pi\)
0.458814 + 0.888533i \(0.348275\pi\)
\(398\) 0.352332 0.391304i 0.0176608 0.0196143i
\(399\) −0.526342 + 0.0633587i −0.0263501 + 0.00317190i
\(400\) −10.2641 + 16.2170i −0.513205 + 0.810851i
\(401\) 13.2682 22.9812i 0.662583 1.14763i −0.317351 0.948308i \(-0.602793\pi\)
0.979934 0.199320i \(-0.0638733\pi\)
\(402\) 4.08838 + 0.367469i 0.203910 + 0.0183277i
\(403\) −9.14202 4.07029i −0.455396 0.202756i
\(404\) −27.9602 + 20.3143i −1.39107 + 1.01067i
\(405\) −5.44890 + 19.3729i −0.270758 + 0.962647i
\(406\) 3.57397 + 2.59664i 0.177373 + 0.128869i
\(407\) 1.37643 + 2.38405i 0.0682272 + 0.118173i
\(408\) −3.87771 + 2.31745i −0.191975 + 0.114731i
\(409\) −18.2716 20.2927i −0.903475 1.00341i −0.999967 0.00807647i \(-0.997429\pi\)
0.0964928 0.995334i \(-0.469238\pi\)
\(410\) 1.59454 0.671419i 0.0787487 0.0331590i
\(411\) −4.17373 9.00635i −0.205875 0.444250i
\(412\) 23.0898 4.90790i 1.13755 0.241795i
\(413\) −6.32043 + 19.4523i −0.311008 + 0.957184i
\(414\) 1.02310 1.90232i 0.0502824 0.0934939i
\(415\) 1.86894 + 6.17670i 0.0917425 + 0.303202i
\(416\) 3.49986 0.743918i 0.171595 0.0364736i
\(417\) 0.433141 + 28.7221i 0.0212110 + 1.40653i
\(418\) −0.00218123 + 0.00377800i −0.000106687 + 0.000184788i
\(419\) −10.8046 + 4.81054i −0.527841 + 0.235010i −0.653314 0.757087i \(-0.726622\pi\)
0.125473 + 0.992097i \(0.459955\pi\)
\(420\) −29.9857 9.91758i −1.46315 0.483928i
\(421\) 1.67084 + 0.743904i 0.0814316 + 0.0362557i 0.447048 0.894510i \(-0.352475\pi\)
−0.365617 + 0.930766i \(0.619142\pi\)
\(422\) −0.965691 + 0.701616i −0.0470091 + 0.0341541i
\(423\) 38.7879 1.17015i 1.88593 0.0568944i
\(424\) −1.23711 −0.0600795
\(425\) 19.6752 3.35233i 0.954389 0.162612i
\(426\) 3.79812 0.457200i 0.184019 0.0221514i
\(427\) 36.7922 + 7.82043i 1.78050 + 0.378457i
\(428\) −1.75102 16.6599i −0.0846388 0.805285i
\(429\) 0.255026 + 1.11673i 0.0123128 + 0.0539162i
\(430\) 1.12011 0.214375i 0.0540163 0.0103381i
\(431\) 28.5016 + 20.7076i 1.37288 + 0.997452i 0.997506 + 0.0705766i \(0.0224839\pi\)
0.375369 + 0.926876i \(0.377516\pi\)
\(432\) −15.4105 12.6620i −0.741440 0.609200i
\(433\) 3.17805 + 2.30899i 0.152727 + 0.110963i 0.661525 0.749923i \(-0.269910\pi\)
−0.508797 + 0.860886i \(0.669910\pi\)
\(434\) 3.60393 0.766039i 0.172994 0.0367711i
\(435\) −5.10368 24.6476i −0.244703 1.18176i
\(436\) 15.5831 + 3.31229i 0.746295 + 0.158630i
\(437\) −0.216933 0.240928i −0.0103773 0.0115252i
\(438\) −0.740399 + 3.76133i −0.0353776 + 0.179723i
\(439\) 12.9252 14.3549i 0.616887 0.685123i −0.351038 0.936361i \(-0.614171\pi\)
0.967925 + 0.251238i \(0.0808378\pi\)
\(440\) −0.429567 + 0.298943i −0.0204788 + 0.0142515i
\(441\) 2.25351 30.1677i 0.107310 1.43655i
\(442\) −0.980532 0.712398i −0.0466392 0.0338853i
\(443\) −2.24077 3.88113i −0.106462 0.184398i 0.807872 0.589357i \(-0.200619\pi\)
−0.914335 + 0.404959i \(0.867286\pi\)
\(444\) −0.395993 26.2587i −0.0187930 1.24618i
\(445\) −10.4760 12.1217i −0.496608 0.574623i
\(446\) −0.0102280 0.0973128i −0.000484309 0.00460790i
\(447\) 11.6017 + 3.57715i 0.548744 + 0.169193i
\(448\) 20.3505 22.6015i 0.961471 1.06782i
\(449\) −11.2399 −0.530445 −0.265222 0.964187i \(-0.585445\pi\)
−0.265222 + 0.964187i \(0.585445\pi\)
\(450\) −1.21089 2.14922i −0.0570820 0.101315i
\(451\) −1.68531 −0.0793583
\(452\) −11.7400 + 13.0386i −0.552202 + 0.613283i
\(453\) 5.97741 5.54755i 0.280843 0.260647i
\(454\) −0.158753 1.51043i −0.00745064 0.0708881i
\(455\) −1.43812 17.0027i −0.0674203 0.797098i
\(456\) 0.0719364 0.0429917i 0.00336873 0.00201327i
\(457\) 7.48417 + 12.9630i 0.350095 + 0.606381i 0.986266 0.165166i \(-0.0528161\pi\)
−0.636171 + 0.771548i \(0.719483\pi\)
\(458\) 0.347396 + 0.252398i 0.0162327 + 0.0117938i
\(459\) 0.937994 + 20.7205i 0.0437818 + 0.967152i
\(460\) −5.59363 18.4866i −0.260805 0.861940i
\(461\) 20.1758 22.4075i 0.939679 1.04362i −0.0592908 0.998241i \(-0.518884\pi\)
0.998970 0.0453786i \(-0.0144494\pi\)
\(462\) −0.317635 0.277443i −0.0147777 0.0129078i
\(463\) −18.4989 20.5451i −0.859718 0.954814i 0.139655 0.990200i \(-0.455401\pi\)
−0.999374 + 0.0353863i \(0.988734\pi\)
\(464\) 24.4010 + 5.18658i 1.13279 + 0.240781i
\(465\) −18.1249 10.5919i −0.840520 0.491186i
\(466\) −1.06414 + 0.226189i −0.0492952 + 0.0104780i
\(467\) −23.9054 17.3683i −1.10621 0.803709i −0.124147 0.992264i \(-0.539620\pi\)
−0.982063 + 0.188555i \(0.939620\pi\)
\(468\) 3.06190 10.4899i 0.141536 0.484894i
\(469\) 48.1876 + 35.0103i 2.22510 + 1.61663i
\(470\) −3.25413 + 3.46950i −0.150102 + 0.160036i
\(471\) −28.1979 8.69421i −1.29929 0.400608i
\(472\) −0.337965 3.21552i −0.0155561 0.148007i
\(473\) −1.08662 0.230968i −0.0499627 0.0106199i
\(474\) −1.02383 1.36540i −0.0470259 0.0627147i
\(475\) −0.365001 + 0.0621900i −0.0167474 + 0.00285347i
\(476\) −32.5517 −1.49201
\(477\) −2.69047 + 5.00260i −0.123188 + 0.229053i
\(478\) 2.19793 1.59689i 0.100531 0.0730399i
\(479\) −12.2428 5.45085i −0.559389 0.249056i 0.107510 0.994204i \(-0.465712\pi\)
−0.666899 + 0.745148i \(0.732379\pi\)
\(480\) 7.46885 0.745315i 0.340905 0.0340188i
\(481\) 12.9617 5.77093i 0.591003 0.263132i
\(482\) 0.618292 1.07091i 0.0281624 0.0487788i
\(483\) 26.9038 16.0786i 1.22417 0.731604i
\(484\) −20.9806 + 4.45957i −0.953664 + 0.202708i
\(485\) −23.6339 0.480743i −1.07316 0.0218294i
\(486\) 2.37156 0.973612i 0.107576 0.0441639i
\(487\) 0.825534 2.54073i 0.0374085 0.115132i −0.930608 0.366016i \(-0.880721\pi\)
0.968017 + 0.250885i \(0.0807215\pi\)
\(488\) −5.81607 + 1.23624i −0.263281 + 0.0559621i
\(489\) −1.74997 0.157290i −0.0791364 0.00711288i
\(490\) 2.42474 + 2.80565i 0.109538 + 0.126746i
\(491\) −11.9826 13.3080i −0.540767 0.600582i 0.409388 0.912360i \(-0.365742\pi\)
−0.950155 + 0.311778i \(0.899075\pi\)
\(492\) 14.0432 + 7.82789i 0.633115 + 0.352909i
\(493\) −12.9712 22.4668i −0.584193 1.01185i
\(494\) 0.0181901 + 0.0132159i 0.000818413 + 0.000594612i
\(495\) 0.274633 + 2.38721i 0.0123438 + 0.107297i
\(496\) 16.8321 12.2293i 0.755785 0.549110i
\(497\) 50.7110 + 22.5780i 2.27470 + 1.01276i
\(498\) 0.473117 0.672278i 0.0212009 0.0301255i
\(499\) −10.2734 + 17.7940i −0.459899 + 0.796568i −0.998955 0.0457019i \(-0.985448\pi\)
0.539057 + 0.842270i \(0.318781\pi\)
\(500\) −21.2565 5.89331i −0.950618 0.263557i
\(501\) −3.98272 5.31143i −0.177935 0.237297i
\(502\) 2.11433 2.34821i 0.0943674 0.104806i
\(503\) −32.2593 + 23.4377i −1.43837 + 1.04504i −0.449990 + 0.893034i \(0.648572\pi\)
−0.988380 + 0.152003i \(0.951428\pi\)
\(504\) 2.73480 + 7.62628i 0.121818 + 0.339701i
\(505\) −31.2142 23.6631i −1.38901 1.05299i
\(506\) 0.0269590 0.256498i 0.00119847 0.0114027i
\(507\) −16.4938 + 1.98544i −0.732513 + 0.0881766i
\(508\) 5.84855 2.60394i 0.259487 0.115531i
\(509\) 13.2868 + 14.7564i 0.588925 + 0.654068i 0.961780 0.273822i \(-0.0882878\pi\)
−0.372855 + 0.927890i \(0.621621\pi\)
\(510\) −1.88048 1.71119i −0.0832691 0.0757726i
\(511\) −37.2209 + 41.3380i −1.64655 + 1.82868i
\(512\) −3.84880 + 11.8454i −0.170094 + 0.523497i
\(513\) −0.0174010 0.384393i −0.000768273 0.0169714i
\(514\) −0.960336 2.95561i −0.0423586 0.130366i
\(515\) 12.9029 + 23.4367i 0.568570 + 1.03274i
\(516\) 7.98163 + 6.97166i 0.351372 + 0.306910i
\(517\) 4.23295 1.88463i 0.186165 0.0828859i
\(518\) −2.61193 + 4.52400i −0.114762 + 0.198773i
\(519\) −33.5595 18.7066i −1.47310 0.821129i
\(520\) 1.30089 + 2.36293i 0.0570480 + 0.103621i
\(521\) 8.76012 6.36460i 0.383788 0.278838i −0.379117 0.925349i \(-0.623772\pi\)
0.762905 + 0.646510i \(0.223772\pi\)
\(522\) −2.07269 + 2.44645i −0.0907191 + 0.107078i
\(523\) 4.62026 + 14.2197i 0.202030 + 0.621785i 0.999822 + 0.0188521i \(0.00600116\pi\)
−0.797792 + 0.602932i \(0.793999\pi\)
\(524\) −8.48783 14.7014i −0.370793 0.642232i
\(525\) 0.916171 35.7834i 0.0399850 1.56172i
\(526\) 1.33050 2.30449i 0.0580124 0.100480i
\(527\) −21.1638 4.49850i −0.921909 0.195958i
\(528\) −2.27581 0.701698i −0.0990420 0.0305375i
\(529\) −3.50166 1.55904i −0.152246 0.0677844i
\(530\) −0.201649 0.666436i −0.00875908 0.0289481i
\(531\) −13.7379 5.62647i −0.596172 0.244168i
\(532\) 0.603877 0.0261814
\(533\) −0.907952 + 8.63858i −0.0393278 + 0.374179i
\(534\) −0.394181 + 2.00249i −0.0170579 + 0.0866563i
\(535\) 17.4977 7.36782i 0.756491 0.318539i
\(536\) −9.20991 1.95763i −0.397808 0.0845566i
\(537\) −19.0955 16.6792i −0.824031 0.719761i
\(538\) 0.343143 0.0729373i 0.0147939 0.00314455i
\(539\) −1.11622 3.43538i −0.0480791 0.147972i
\(540\) 8.79961 21.1674i 0.378675 0.910902i
\(541\) 11.4490 35.2363i 0.492230 1.51493i −0.329000 0.944330i \(-0.606712\pi\)
0.821230 0.570597i \(-0.193288\pi\)
\(542\) 0.279684 2.66102i 0.0120135 0.114300i
\(543\) −11.7214 + 27.4327i −0.503014 + 1.17725i
\(544\) 7.06730 3.14656i 0.303008 0.134908i
\(545\) 1.52177 + 17.9916i 0.0651854 + 0.770675i
\(546\) −1.59324 + 1.47866i −0.0681844 + 0.0632810i
\(547\) −19.4966 8.68045i −0.833615 0.371149i −0.0548729 0.998493i \(-0.517475\pi\)
−0.778742 + 0.627344i \(0.784142\pi\)
\(548\) 3.49408 + 10.7537i 0.149260 + 0.459374i
\(549\) −7.64971 + 26.2074i −0.326482 + 1.11851i
\(550\) −0.231060 0.182681i −0.00985245 0.00778955i
\(551\) 0.240632 + 0.416787i 0.0102513 + 0.0177557i
\(552\) −2.85144 + 4.05177i −0.121365 + 0.172455i
\(553\) −2.58850 24.6280i −0.110074 1.04729i
\(554\) −0.146484 1.39371i −0.00622352 0.0592129i
\(555\) 28.3552 9.04858i 1.20361 0.384091i
\(556\) 3.42023 32.5414i 0.145050 1.38006i
\(557\) 38.6947 1.63955 0.819773 0.572689i \(-0.194100\pi\)
0.819773 + 0.572689i \(0.194100\pi\)
\(558\) 0.359604 + 2.64995i 0.0152232 + 0.112181i
\(559\) −1.76930 + 5.44535i −0.0748335 + 0.230314i
\(560\) 32.1088 + 15.0855i 1.35684 + 0.637479i
\(561\) 1.04134 + 2.24708i 0.0439656 + 0.0948719i
\(562\) 0.914232 + 1.01536i 0.0385646 + 0.0428303i
\(563\) 9.13347 + 10.1437i 0.384930 + 0.427508i 0.904205 0.427100i \(-0.140465\pi\)
−0.519275 + 0.854607i \(0.673798\pi\)
\(564\) −44.0254 3.95706i −1.85380 0.166622i
\(565\) −17.9976 8.45570i −0.757163 0.355734i
\(566\) −0.266014 + 0.818707i −0.0111814 + 0.0344128i
\(567\) 36.7866 + 5.52672i 1.54489 + 0.232101i
\(568\) −8.77496 −0.368189
\(569\) −2.42745 + 23.0956i −0.101764 + 0.968218i 0.817860 + 0.575417i \(0.195160\pi\)
−0.919624 + 0.392801i \(0.871506\pi\)
\(570\) 0.0348853 + 0.0317447i 0.00146119 + 0.00132964i
\(571\) −2.66000 25.3082i −0.111317 1.05911i −0.897468 0.441079i \(-0.854596\pi\)
0.786151 0.618035i \(-0.212071\pi\)
\(572\) −0.136389 1.29765i −0.00570269 0.0542575i
\(573\) 0.424154 + 0.915269i 0.0177193 + 0.0382359i
\(574\) −1.59904 2.76961i −0.0667425 0.115601i
\(575\) 18.2180 12.1358i 0.759743 0.506099i
\(576\) 15.2587 + 15.9517i 0.635780 + 0.664656i
\(577\) 9.47834 + 29.1713i 0.394588 + 1.21442i 0.929282 + 0.369372i \(0.120427\pi\)
−0.534693 + 0.845046i \(0.679573\pi\)
\(578\) 0.160139 + 0.0712983i 0.00666089 + 0.00296562i
\(579\) 15.3808 + 4.74234i 0.639204 + 0.197085i
\(580\) 2.41645 + 28.5693i 0.100338 + 1.18628i
\(581\) 10.8973 4.85178i 0.452095 0.201286i
\(582\) 1.80653 + 2.40923i 0.0748831 + 0.0998656i
\(583\) −0.0708951 + 0.674522i −0.00293618 + 0.0279359i
\(584\) 2.71726 8.36287i 0.112441 0.346058i
\(585\) 12.3843 0.121620i 0.512029 0.00502835i
\(586\) −1.03645 3.18986i −0.0428153 0.131772i
\(587\) 14.4830 3.07845i 0.597777 0.127061i 0.100921 0.994894i \(-0.467821\pi\)
0.496856 + 0.867833i \(0.334488\pi\)
\(588\) −6.65542 + 33.8105i −0.274465 + 1.39432i
\(589\) 0.392615 + 0.0834530i 0.0161774 + 0.00343862i
\(590\) 1.67712 0.706193i 0.0690460 0.0290735i
\(591\) 5.60343 + 4.89439i 0.230494 + 0.201328i
\(592\) −3.08345 + 29.3370i −0.126729 + 1.20574i
\(593\) 29.3262 1.20428 0.602140 0.798390i \(-0.294315\pi\)
0.602140 + 0.798390i \(0.294315\pi\)
\(594\) 0.217987 0.214904i 0.00894412 0.00881762i
\(595\) −10.6846 35.3118i −0.438026 1.44764i
\(596\) −12.6337 5.62488i −0.517496 0.230404i
\(597\) 1.23466 + 5.40641i 0.0505311 + 0.221269i
\(598\) −1.30023 0.276373i −0.0531705 0.0113017i
\(599\) 2.03948 3.53249i 0.0833310 0.144334i −0.821348 0.570428i \(-0.806777\pi\)
0.904679 + 0.426094i \(0.140111\pi\)
\(600\) 2.16844 + 5.22647i 0.0885262 + 0.213370i
\(601\) −8.15219 14.1200i −0.332535 0.575967i 0.650474 0.759529i \(-0.274570\pi\)
−0.983008 + 0.183562i \(0.941237\pi\)
\(602\) −0.651421 2.00487i −0.0265500 0.0817124i
\(603\) −27.9459 + 32.9853i −1.13805 + 1.34327i
\(604\) −7.51520 + 5.46011i −0.305789 + 0.222169i
\(605\) −11.7242 21.2958i −0.476658 0.865796i
\(606\) 0.0752393 + 4.98920i 0.00305639 + 0.202672i
\(607\) 9.93751 17.2123i 0.403351 0.698625i −0.590777 0.806835i \(-0.701179\pi\)
0.994128 + 0.108210i \(0.0345120\pi\)
\(608\) −0.131107 + 0.0583728i −0.00531711 + 0.00236733i
\(609\) −44.0275 + 15.0431i −1.78408 + 0.609576i
\(610\) −1.61398 2.93162i −0.0653483 0.118698i
\(611\) −7.37976 22.7126i −0.298553 0.918852i
\(612\) 1.76000 23.5610i 0.0711437 0.952397i
\(613\) 1.01670 3.12907i 0.0410639 0.126382i −0.928423 0.371525i \(-0.878835\pi\)
0.969487 + 0.245143i \(0.0788350\pi\)
\(614\) −0.950406 + 1.05553i −0.0383552 + 0.0425978i
\(615\) −3.88217 + 17.8033i −0.156544 + 0.717897i
\(616\) 0.647308 + 0.718908i 0.0260808 + 0.0289656i
\(617\) 40.1863 17.8921i 1.61784 0.720308i 0.619912 0.784671i \(-0.287168\pi\)
0.997927 + 0.0643626i \(0.0205014\pi\)
\(618\) 1.33910 3.13401i 0.0538665 0.126068i
\(619\) 1.18396 11.2646i 0.0475873 0.452763i −0.944620 0.328166i \(-0.893570\pi\)
0.992207 0.124597i \(-0.0397638\pi\)
\(620\) 19.0559 + 14.4460i 0.765302 + 0.580166i
\(621\) 10.1831 + 20.3424i 0.408635 + 0.816311i
\(622\) −1.79186 + 1.30186i −0.0718469 + 0.0521998i
\(623\) −19.8160 + 22.0079i −0.793912 + 0.881728i
\(624\) −4.82284 + 11.2873i −0.193068 + 0.451855i
\(625\) −0.584094 24.9932i −0.0233638 0.999727i
\(626\) −0.600659 + 1.04037i −0.0240072 + 0.0415817i
\(627\) −0.0193183 0.0416863i −0.000771498 0.00166479i
\(628\) 30.7060 + 13.6712i 1.22530 + 0.545540i
\(629\) 24.8180 18.0313i 0.989559 0.718956i
\(630\) −3.66252 + 2.71633i −0.145918 + 0.108221i
\(631\) 19.7944 + 14.3815i 0.788005 + 0.572519i 0.907371 0.420331i \(-0.138086\pi\)
−0.119366 + 0.992850i \(0.538086\pi\)
\(632\) 1.95730 + 3.39015i 0.0778573 + 0.134853i
\(633\) −0.189563 12.5701i −0.00753443 0.499616i
\(634\) 2.55650 + 2.83928i 0.101532 + 0.112762i
\(635\) 4.74442 + 5.48974i 0.188277 + 0.217854i
\(636\) 3.72374 5.29128i 0.147656 0.209813i
\(637\) −18.2104 + 3.87074i −0.721523 + 0.153364i
\(638\) −0.118310 + 0.364121i −0.00468394 + 0.0144157i
\(639\) −19.0838 + 35.4839i −0.754943 + 1.40372i
\(640\) −11.3706 0.231293i −0.449464 0.00914267i
\(641\) −28.6247 + 6.08438i −1.13061 + 0.240318i −0.734978 0.678091i \(-0.762808\pi\)
−0.395631 + 0.918409i \(0.629474\pi\)
\(642\) −2.11252 1.17755i −0.0833744 0.0464743i
\(643\) −3.57430 + 6.19087i −0.140957 + 0.244144i −0.927857 0.372936i \(-0.878351\pi\)
0.786900 + 0.617080i \(0.211685\pi\)
\(644\) −32.6150 + 14.5211i −1.28521 + 0.572213i
\(645\) −4.94294 + 10.9467i −0.194628 + 0.431027i
\(646\) 0.0444105 + 0.0197728i 0.00174731 + 0.000777951i
\(647\) 25.5288 18.5478i 1.00364 0.729188i 0.0407758 0.999168i \(-0.487017\pi\)
0.962866 + 0.269980i \(0.0870171\pi\)
\(648\) −5.66777 + 1.56712i −0.222651 + 0.0615622i
\(649\) −1.77260 −0.0695805
\(650\) −1.06087 + 1.08595i −0.0416107 + 0.0425945i
\(651\) −15.2468 + 35.6834i −0.597568 + 1.39854i
\(652\) 1.95767 + 0.416115i 0.0766681 + 0.0162963i
\(653\) 0.244296 + 2.32432i 0.00956003 + 0.0909576i 0.998262 0.0589403i \(-0.0187722\pi\)
−0.988701 + 0.149898i \(0.952105\pi\)
\(654\) 1.68591 1.56467i 0.0659241 0.0611833i
\(655\) 13.1619 14.0330i 0.514277 0.548315i
\(656\) −14.6102 10.6149i −0.570431 0.414443i
\(657\) −27.9080 29.1756i −1.08880 1.13825i
\(658\) 7.11341 + 5.16819i 0.277309 + 0.201477i
\(659\) 41.8091 8.88679i 1.62865 0.346180i 0.699142 0.714983i \(-0.253565\pi\)
0.929508 + 0.368802i \(0.120232\pi\)
\(660\) 0.0143952 2.73713i 0.000560332 0.106543i
\(661\) −5.59291 1.18881i −0.217539 0.0462393i 0.0978528 0.995201i \(-0.468803\pi\)
−0.315392 + 0.948962i \(0.602136\pi\)
\(662\) −2.95903 3.28634i −0.115006 0.127727i
\(663\) 12.0791 4.12712i 0.469114 0.160284i
\(664\) −1.26175 + 1.40131i −0.0489652 + 0.0543814i
\(665\) 0.198213 + 0.655079i 0.00768637 + 0.0254029i
\(666\) −3.13326 2.13512i −0.121411 0.0827344i
\(667\) −23.0187 16.7240i −0.891287 0.647558i
\(668\) 3.78106 + 6.54900i 0.146294 + 0.253388i
\(669\) 0.900138 + 0.501752i 0.0348013 + 0.0193988i
\(670\) −0.446636 5.28050i −0.0172550 0.204003i
\(671\) 0.340747 + 3.24199i 0.0131544 + 0.125156i
\(672\) −3.08895 13.5262i −0.119159 0.521783i
\(673\) −1.32261 + 1.46890i −0.0509827 + 0.0566221i −0.768097 0.640334i \(-0.778796\pi\)
0.717114 + 0.696956i \(0.245463\pi\)
\(674\) −1.41815 −0.0546250
\(675\) 25.8506 + 2.59785i 0.994988 + 0.0999914i
\(676\) 18.9234 0.727824
\(677\) −6.94407 + 7.71217i −0.266882 + 0.296403i −0.861659 0.507488i \(-0.830574\pi\)
0.594776 + 0.803891i \(0.297241\pi\)
\(678\) 0.563964 + 2.46953i 0.0216589 + 0.0948417i
\(679\) 4.56739 + 43.4558i 0.175280 + 1.66768i
\(680\) 3.81341 + 4.41247i 0.146237 + 0.169210i
\(681\) 13.9714 + 7.78789i 0.535385 + 0.298433i
\(682\) 0.159657 + 0.276534i 0.00611358 + 0.0105890i
\(683\) 19.2932 + 14.0174i 0.738235 + 0.536359i 0.892158 0.451724i \(-0.149191\pi\)
−0.153923 + 0.988083i \(0.549191\pi\)
\(684\) −0.0326502 + 0.437087i −0.00124841 + 0.0167124i
\(685\) −10.5186 + 7.32006i −0.401894 + 0.279685i
\(686\) 1.40268 1.55783i 0.0535545 0.0594783i
\(687\) −4.27954 + 1.46221i −0.163275 + 0.0557868i
\(688\) −7.96526 8.84632i −0.303673 0.337263i
\(689\) 3.41927 + 0.726789i 0.130264 + 0.0276884i
\(690\) −2.64748 0.875639i −0.100788 0.0333350i
\(691\) 1.00613 0.213859i 0.0382748 0.00813556i −0.188734 0.982028i \(-0.560439\pi\)
0.227009 + 0.973893i \(0.427105\pi\)
\(692\) 35.4065 + 25.7243i 1.34595 + 0.977893i
\(693\) 4.31487 1.05408i 0.163908 0.0400413i
\(694\) 4.67273 + 3.39494i 0.177374 + 0.128870i
\(695\) 36.4232 6.97095i 1.38161 0.264423i
\(696\) 5.39089 5.00321i 0.204341 0.189646i
\(697\) 1.96309 + 18.6775i 0.0743573 + 0.707462i
\(698\) −3.38314 0.719110i −0.128054 0.0272187i
\(699\) 4.50193 10.5363i 0.170279 0.398518i
\(700\) −5.90750 + 40.3435i −0.223283 + 1.52484i
\(701\) 14.7743 0.558019 0.279009 0.960288i \(-0.409994\pi\)
0.279009 + 0.960288i \(0.409994\pi\)
\(702\) −0.984117 1.23314i −0.0371431 0.0465418i
\(703\) −0.460406 + 0.334504i −0.0173645 + 0.0126161i
\(704\) 2.40791 + 1.07207i 0.0907516 + 0.0404052i
\(705\) −10.1581 49.0572i −0.382575 1.84760i
\(706\) −2.96005 + 1.31790i −0.111403 + 0.0495999i
\(707\) −36.2017 + 62.7032i −1.36151 + 2.35820i
\(708\) 14.7705 + 8.23330i 0.555108 + 0.309426i
\(709\) 11.5131 2.44719i 0.432384 0.0919062i 0.0134224 0.999910i \(-0.495727\pi\)
0.418962 + 0.908004i \(0.362394\pi\)
\(710\) −1.43032 4.72709i −0.0536788 0.177405i
\(711\) 17.9657 0.541985i 0.673767 0.0203260i
\(712\) 1.44664 4.45231i 0.0542152 0.166857i
\(713\) −23.2117 + 4.93379i −0.869283 + 0.184772i
\(714\) −2.70478 + 3.84337i −0.101224 + 0.143835i
\(715\) 1.36291 0.573886i 0.0509700 0.0214621i
\(716\) 19.3249 + 21.4624i 0.722204 + 0.802089i
\(717\) 0.431447 + 28.6097i 0.0161127 + 1.06845i
\(718\) −0.249761 0.432599i −0.00932099 0.0161444i
\(719\) −37.9326 27.5596i −1.41465 1.02780i −0.992626 0.121213i \(-0.961321\pi\)
−0.422019 0.906587i \(-0.638679\pi\)
\(720\) −12.6550 + 22.4248i −0.471623 + 0.835721i
\(721\) 40.0084 29.0678i 1.48999 1.08254i
\(722\) 2.85372 + 1.27056i 0.106205 + 0.0472853i
\(723\) 5.47597 + 11.8164i 0.203654 + 0.439457i
\(724\) 16.9905 29.4285i 0.631449 1.09370i
\(725\) −30.1985 + 11.9988i −1.12155 + 0.445623i
\(726\) −1.21677 + 2.84772i −0.0451587 + 0.105689i
\(727\) −21.0528 + 23.3815i −0.780806 + 0.867173i −0.993948 0.109848i \(-0.964964\pi\)
0.213142 + 0.977021i \(0.431630\pi\)
\(728\) 4.03371 2.93066i 0.149499 0.108618i
\(729\) −5.98922 + 26.3273i −0.221823 + 0.975087i
\(730\) 4.94801 + 0.100649i 0.183134 + 0.00372518i
\(731\) −1.29399 + 12.3115i −0.0478600 + 0.455357i
\(732\) 12.2190 28.5971i 0.451626 1.05698i
\(733\) −41.4138 + 18.4386i −1.52965 + 0.681045i −0.987265 0.159083i \(-0.949146\pi\)
−0.542388 + 0.840128i \(0.682480\pi\)
\(734\) 0.799319 + 0.887734i 0.0295034 + 0.0327669i
\(735\) −38.8618 + 3.87801i −1.43344 + 0.143043i
\(736\) 5.67737 6.30535i 0.209271 0.232418i
\(737\) −1.59517 + 4.90942i −0.0587587 + 0.180841i
\(738\) 2.09110 1.00764i 0.0769746 0.0370917i
\(739\) 12.0961 + 37.2280i 0.444963 + 1.36945i 0.882524 + 0.470267i \(0.155842\pi\)
−0.437562 + 0.899188i \(0.644158\pi\)
\(740\) −33.2993 + 6.37309i −1.22411 + 0.234279i
\(741\) −0.224083 + 0.0765634i −0.00823190 + 0.00281263i
\(742\) −1.17576 + 0.523483i −0.0431636 + 0.0192177i
\(743\) 24.2958 42.0815i 0.891325 1.54382i 0.0530375 0.998593i \(-0.483110\pi\)
0.838288 0.545228i \(-0.183557\pi\)
\(744\) −0.0924948 6.13343i −0.00339102 0.224862i
\(745\) 1.95500 15.5512i 0.0716258 0.569750i
\(746\) 1.40499 1.02078i 0.0514403 0.0373735i
\(747\) 2.92253 + 8.14978i 0.106930 + 0.298185i
\(748\) −0.871772 2.68304i −0.0318751 0.0981016i
\(749\) −17.5470 30.3923i −0.641154 1.11051i
\(750\) −2.46205 + 2.02006i −0.0899015 + 0.0737620i
\(751\) 9.62073 16.6636i 0.351066 0.608063i −0.635371 0.772207i \(-0.719153\pi\)
0.986436 + 0.164144i \(0.0524861\pi\)
\(752\) 48.5662 + 10.3231i 1.77103 + 0.376443i
\(753\) 7.40914 + 32.4437i 0.270004 + 1.18232i
\(754\) 1.80267 + 0.802601i 0.0656494 + 0.0292290i
\(755\) −8.38982 6.36021i −0.305337 0.231472i
\(756\) −40.8503 11.2582i −1.48571 0.409458i
\(757\) −21.2374 −0.771886 −0.385943 0.922523i \(-0.626124\pi\)
−0.385943 + 0.922523i \(0.626124\pi\)
\(758\) 0.605923 5.76497i 0.0220081 0.209393i
\(759\) 2.04578 + 1.78691i 0.0742570 + 0.0648608i
\(760\) −0.0707436 0.0818570i −0.00256614 0.00296926i
\(761\) −33.1709 7.05068i −1.20244 0.255587i −0.437221 0.899354i \(-0.644037\pi\)
−0.765221 + 0.643767i \(0.777371\pi\)
\(762\) 0.178519 0.906901i 0.00646706 0.0328536i
\(763\) 32.6460 6.93913i 1.18187 0.251213i
\(764\) −0.355085 1.09284i −0.0128465 0.0395375i
\(765\) 26.1364 5.82430i 0.944964 0.210578i
\(766\) 0.317141 0.976061i