Properties

Label 378.2.z.a.41.17
Level $378$
Weight $2$
Character 378.41
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
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] = [378,2,Mod(41,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([17, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.z (of order \(18\), degree \(6\), 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: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(24\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 41.17
Character \(\chi\) \(=\) 378.41
Dual form 378.2.z.a.83.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.984808 - 0.173648i) q^{2} +(-0.419652 - 1.68044i) q^{3} +(0.939693 - 0.342020i) q^{4} +(1.95067 + 1.63681i) q^{5} +(-0.705083 - 1.58204i) q^{6} +(2.43278 - 1.04000i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-2.64778 + 1.41040i) q^{9} +O(q^{10})\) \(q+(0.984808 - 0.173648i) q^{2} +(-0.419652 - 1.68044i) q^{3} +(0.939693 - 0.342020i) q^{4} +(1.95067 + 1.63681i) q^{5} +(-0.705083 - 1.58204i) q^{6} +(2.43278 - 1.04000i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-2.64778 + 1.41040i) q^{9} +(2.20527 + 1.27321i) q^{10} +(3.38986 + 4.03988i) q^{11} +(-0.969090 - 1.43557i) q^{12} +(-4.61346 - 0.813477i) q^{13} +(2.21522 - 1.44665i) q^{14} +(1.93196 - 3.96488i) q^{15} +(0.766044 - 0.642788i) q^{16} +(2.45690 - 4.25548i) q^{17} +(-2.36264 + 1.84876i) q^{18} +(-3.75220 + 2.16633i) q^{19} +(2.39285 + 0.870927i) q^{20} +(-2.76858 - 3.65170i) q^{21} +(4.03988 + 3.38986i) q^{22} +(-2.80443 - 7.70512i) q^{23} +(-1.20365 - 1.24548i) q^{24} +(0.257739 + 1.46171i) q^{25} -4.68463 q^{26} +(3.48125 + 3.85757i) q^{27} +(1.93036 - 1.80934i) q^{28} +(-6.32009 + 1.11440i) q^{29} +(1.21411 - 4.24013i) q^{30} +(2.00923 + 5.52031i) q^{31} +(0.642788 - 0.766044i) q^{32} +(5.36622 - 7.39181i) q^{33} +(1.68062 - 4.61746i) q^{34} +(6.44783 + 1.95329i) q^{35} +(-2.00572 + 2.23094i) q^{36} +(0.448119 - 0.776165i) q^{37} +(-3.31901 + 2.78498i) q^{38} +(0.569046 + 8.09404i) q^{39} +(2.50773 + 0.442181i) q^{40} +(-0.918246 + 5.20763i) q^{41} +(-3.36063 - 3.11547i) q^{42} +(-3.13499 + 2.63057i) q^{43} +(4.56714 + 2.63684i) q^{44} +(-7.47352 - 1.58268i) q^{45} +(-4.09981 - 7.10107i) q^{46} +(-2.09624 - 0.762970i) q^{47} +(-1.40164 - 1.01755i) q^{48} +(4.83680 - 5.06018i) q^{49} +(0.507646 + 1.39475i) q^{50} +(-8.18213 - 2.34286i) q^{51} +(-4.61346 + 0.813477i) q^{52} -9.42246i q^{53} +(4.09823 + 3.19445i) q^{54} +13.4290i q^{55} +(1.58685 - 2.11706i) q^{56} +(5.21502 + 5.39625i) q^{57} +(-6.03056 + 2.19494i) q^{58} +(-0.881790 - 0.739910i) q^{59} +(0.459378 - 4.38654i) q^{60} +(-2.05855 + 5.65582i) q^{61} +(2.93730 + 5.08755i) q^{62} +(-4.97464 + 6.18490i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-7.66784 - 9.13817i) q^{65} +(4.00112 - 8.21135i) q^{66} +(-1.26064 + 7.14945i) q^{67} +(0.853272 - 4.83915i) q^{68} +(-11.7711 + 7.94616i) q^{69} +(6.68906 + 0.803958i) q^{70} +(7.78966 + 4.49736i) q^{71} +(-1.58785 + 2.54534i) q^{72} +(-7.53439 + 4.34998i) q^{73} +(0.306531 - 0.842188i) q^{74} +(2.34816 - 1.04653i) q^{75} +(-2.78498 + 3.31901i) q^{76} +(12.4482 + 6.30266i) q^{77} +(1.96592 + 7.87226i) q^{78} +(1.83651 + 10.4153i) q^{79} +2.54642 q^{80} +(5.02152 - 7.46889i) q^{81} +5.28797i q^{82} +(2.18909 + 12.4150i) q^{83} +(-3.85057 - 2.48457i) q^{84} +(11.7580 - 4.27956i) q^{85} +(-2.63057 + 3.13499i) q^{86} +(4.52493 + 10.1529i) q^{87} +(4.95564 + 1.80371i) q^{88} +(-4.96625 - 8.60180i) q^{89} +(-7.63481 - 0.260870i) q^{90} +(-12.0695 + 2.81899i) q^{91} +(-5.27061 - 6.28127i) q^{92} +(8.43339 - 5.69301i) q^{93} +(-2.19688 - 0.387370i) q^{94} +(-10.8652 - 1.91582i) q^{95} +(-1.55704 - 0.758696i) q^{96} +(-4.09086 - 4.87530i) q^{97} +(3.88462 - 5.82320i) q^{98} +(-14.6735 - 5.91565i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 24 q^{21} - 60 q^{23} + 12 q^{29} - 72 q^{30} + 54 q^{35} - 12 q^{36} + 48 q^{39} + 24 q^{42} + 18 q^{49} - 60 q^{50} - 36 q^{51} + 6 q^{56} - 60 q^{57} - 36 q^{60} - 78 q^{63} + 72 q^{64} - 120 q^{65} + 36 q^{70} - 72 q^{71} - 24 q^{72} - 36 q^{74} + 66 q^{77} - 60 q^{78} - 72 q^{79} + 12 q^{84} - 72 q^{85} - 48 q^{86} - 18 q^{91} + 12 q^{92} + 24 q^{93} - 120 q^{95} + 36 q^{98} + 144 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.984808 0.173648i 0.696364 0.122788i
\(3\) −0.419652 1.68044i −0.242286 0.970205i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) 1.95067 + 1.63681i 0.872367 + 0.732003i 0.964595 0.263735i \(-0.0849545\pi\)
−0.0922283 + 0.995738i \(0.529399\pi\)
\(6\) −0.705083 1.58204i −0.287849 0.645866i
\(7\) 2.43278 1.04000i 0.919503 0.393083i
\(8\) 0.866025 0.500000i 0.306186 0.176777i
\(9\) −2.64778 + 1.41040i −0.882595 + 0.470135i
\(10\) 2.20527 + 1.27321i 0.697366 + 0.402624i
\(11\) 3.38986 + 4.03988i 1.02208 + 1.21807i 0.975692 + 0.219145i \(0.0703269\pi\)
0.0463888 + 0.998923i \(0.485229\pi\)
\(12\) −0.969090 1.43557i −0.279752 0.414414i
\(13\) −4.61346 0.813477i −1.27954 0.225618i −0.507757 0.861500i \(-0.669525\pi\)
−0.771786 + 0.635882i \(0.780636\pi\)
\(14\) 2.21522 1.44665i 0.592043 0.386633i
\(15\) 1.93196 3.96488i 0.498830 1.02373i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 2.45690 4.25548i 0.595886 1.03210i −0.397535 0.917587i \(-0.630134\pi\)
0.993421 0.114518i \(-0.0365322\pi\)
\(18\) −2.36264 + 1.84876i −0.556880 + 0.435757i
\(19\) −3.75220 + 2.16633i −0.860813 + 0.496991i −0.864285 0.503003i \(-0.832228\pi\)
0.00347113 + 0.999994i \(0.498895\pi\)
\(20\) 2.39285 + 0.870927i 0.535058 + 0.194745i
\(21\) −2.76858 3.65170i −0.604154 0.796867i
\(22\) 4.03988 + 3.38986i 0.861305 + 0.722720i
\(23\) −2.80443 7.70512i −0.584765 1.60663i −0.779937 0.625859i \(-0.784749\pi\)
0.195172 0.980769i \(-0.437474\pi\)
\(24\) −1.20365 1.24548i −0.245694 0.254233i
\(25\) 0.257739 + 1.46171i 0.0515478 + 0.292342i
\(26\) −4.68463 −0.918731
\(27\) 3.48125 + 3.85757i 0.669968 + 0.742390i
\(28\) 1.93036 1.80934i 0.364804 0.341933i
\(29\) −6.32009 + 1.11440i −1.17361 + 0.206939i −0.726261 0.687419i \(-0.758743\pi\)
−0.447351 + 0.894359i \(0.647632\pi\)
\(30\) 1.21411 4.24013i 0.221666 0.774138i
\(31\) 2.00923 + 5.52031i 0.360868 + 0.991477i 0.978723 + 0.205185i \(0.0657796\pi\)
−0.617855 + 0.786292i \(0.711998\pi\)
\(32\) 0.642788 0.766044i 0.113630 0.135419i
\(33\) 5.36622 7.39181i 0.934140 1.28675i
\(34\) 1.68062 4.61746i 0.288224 0.791888i
\(35\) 6.44783 + 1.95329i 1.08988 + 0.330166i
\(36\) −2.00572 + 2.23094i −0.334286 + 0.371824i
\(37\) 0.448119 0.776165i 0.0736703 0.127601i −0.826837 0.562442i \(-0.809862\pi\)
0.900507 + 0.434841i \(0.143195\pi\)
\(38\) −3.31901 + 2.78498i −0.538415 + 0.451784i
\(39\) 0.569046 + 8.09404i 0.0911203 + 1.29608i
\(40\) 2.50773 + 0.442181i 0.396508 + 0.0699150i
\(41\) −0.918246 + 5.20763i −0.143406 + 0.813296i 0.825227 + 0.564801i \(0.191047\pi\)
−0.968633 + 0.248495i \(0.920064\pi\)
\(42\) −3.36063 3.11547i −0.518557 0.480727i
\(43\) −3.13499 + 2.63057i −0.478082 + 0.401158i −0.849732 0.527214i \(-0.823236\pi\)
0.371650 + 0.928373i \(0.378792\pi\)
\(44\) 4.56714 + 2.63684i 0.688523 + 0.397519i
\(45\) −7.47352 1.58268i −1.11409 0.235932i
\(46\) −4.09981 7.10107i −0.604483 1.04700i
\(47\) −2.09624 0.762970i −0.305768 0.111291i 0.184579 0.982818i \(-0.440908\pi\)
−0.490347 + 0.871527i \(0.663130\pi\)
\(48\) −1.40164 1.01755i −0.202309 0.146870i
\(49\) 4.83680 5.06018i 0.690971 0.722883i
\(50\) 0.507646 + 1.39475i 0.0717920 + 0.197247i
\(51\) −8.18213 2.34286i −1.14573 0.328066i
\(52\) −4.61346 + 0.813477i −0.639772 + 0.112809i
\(53\) 9.42246i 1.29427i −0.762373 0.647137i \(-0.775966\pi\)
0.762373 0.647137i \(-0.224034\pi\)
\(54\) 4.09823 + 3.19445i 0.557698 + 0.434710i
\(55\) 13.4290i 1.81077i
\(56\) 1.58685 2.11706i 0.212051 0.282903i
\(57\) 5.21502 + 5.39625i 0.690746 + 0.714751i
\(58\) −6.03056 + 2.19494i −0.791851 + 0.288210i
\(59\) −0.881790 0.739910i −0.114799 0.0963281i 0.583581 0.812055i \(-0.301651\pi\)
−0.698380 + 0.715727i \(0.746096\pi\)
\(60\) 0.459378 4.38654i 0.0593054 0.566300i
\(61\) −2.05855 + 5.65582i −0.263570 + 0.724153i 0.735350 + 0.677688i \(0.237018\pi\)
−0.998920 + 0.0464655i \(0.985204\pi\)
\(62\) 2.93730 + 5.08755i 0.373037 + 0.646119i
\(63\) −4.97464 + 6.18490i −0.626746 + 0.779224i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) −7.66784 9.13817i −0.951078 1.13345i
\(66\) 4.00112 8.21135i 0.492504 1.01075i
\(67\) −1.26064 + 7.14945i −0.154012 + 0.873444i 0.805672 + 0.592362i \(0.201804\pi\)
−0.959684 + 0.281082i \(0.909307\pi\)
\(68\) 0.853272 4.83915i 0.103474 0.586833i
\(69\) −11.7711 + 7.94616i −1.41708 + 0.956605i
\(70\) 6.68906 + 0.803958i 0.799495 + 0.0960913i
\(71\) 7.78966 + 4.49736i 0.924463 + 0.533739i 0.885056 0.465484i \(-0.154120\pi\)
0.0394068 + 0.999223i \(0.487453\pi\)
\(72\) −1.58785 + 2.54534i −0.187129 + 0.299971i
\(73\) −7.53439 + 4.34998i −0.881834 + 0.509127i −0.871263 0.490817i \(-0.836698\pi\)
−0.0105711 + 0.999944i \(0.503365\pi\)
\(74\) 0.306531 0.842188i 0.0356335 0.0979024i
\(75\) 2.34816 1.04653i 0.271142 0.120842i
\(76\) −2.78498 + 3.31901i −0.319460 + 0.380717i
\(77\) 12.4482 + 6.30266i 1.41861 + 0.718255i
\(78\) 1.96592 + 7.87226i 0.222596 + 0.891357i
\(79\) 1.83651 + 10.4153i 0.206623 + 1.17182i 0.894865 + 0.446337i \(0.147272\pi\)
−0.688242 + 0.725481i \(0.741617\pi\)
\(80\) 2.54642 0.284698
\(81\) 5.02152 7.46889i 0.557946 0.829877i
\(82\) 5.28797i 0.583959i
\(83\) 2.18909 + 12.4150i 0.240284 + 1.36272i 0.831194 + 0.555982i \(0.187658\pi\)
−0.590910 + 0.806737i \(0.701231\pi\)
\(84\) −3.85057 2.48457i −0.420132 0.271089i
\(85\) 11.7580 4.27956i 1.27533 0.464184i
\(86\) −2.63057 + 3.13499i −0.283662 + 0.338055i
\(87\) 4.52493 + 10.1529i 0.485124 + 1.08850i
\(88\) 4.95564 + 1.80371i 0.528273 + 0.192276i
\(89\) −4.96625 8.60180i −0.526422 0.911789i −0.999526 0.0307827i \(-0.990200\pi\)
0.473104 0.881006i \(-0.343133\pi\)
\(90\) −7.63481 0.260870i −0.804779 0.0274981i
\(91\) −12.0695 + 2.81899i −1.26523 + 0.295511i
\(92\) −5.27061 6.28127i −0.549499 0.654867i
\(93\) 8.43339 5.69301i 0.874502 0.590337i
\(94\) −2.19688 0.387370i −0.226591 0.0399542i
\(95\) −10.8652 1.91582i −1.11474 0.196559i
\(96\) −1.55704 0.758696i −0.158915 0.0774341i
\(97\) −4.09086 4.87530i −0.415364 0.495012i 0.517276 0.855818i \(-0.326946\pi\)
−0.932641 + 0.360806i \(0.882502\pi\)
\(98\) 3.88462 5.82320i 0.392406 0.588232i
\(99\) −14.6735 5.91565i −1.47474 0.594545i
\(100\) 0.742129 + 1.28541i 0.0742129 + 0.128541i
\(101\) 10.0462 + 3.65652i 0.999636 + 0.363838i 0.789444 0.613823i \(-0.210369\pi\)
0.210192 + 0.977660i \(0.432591\pi\)
\(102\) −8.46466 0.886457i −0.838126 0.0877723i
\(103\) 1.54935 1.84644i 0.152662 0.181935i −0.684293 0.729207i \(-0.739889\pi\)
0.836955 + 0.547272i \(0.184334\pi\)
\(104\) −4.40211 + 1.60224i −0.431662 + 0.157112i
\(105\) 0.576541 11.6549i 0.0562647 1.13740i
\(106\) −1.63619 9.27931i −0.158921 0.901287i
\(107\) 8.64382i 0.835630i −0.908532 0.417815i \(-0.862796\pi\)
0.908532 0.417815i \(-0.137204\pi\)
\(108\) 4.59068 + 2.43427i 0.441738 + 0.234238i
\(109\) −10.0711 −0.964636 −0.482318 0.875996i \(-0.660205\pi\)
−0.482318 + 0.875996i \(0.660205\pi\)
\(110\) 2.33192 + 13.2250i 0.222340 + 1.26095i
\(111\) −1.49236 0.427319i −0.141648 0.0405593i
\(112\) 1.19511 2.36045i 0.112928 0.223041i
\(113\) −0.126205 + 0.150405i −0.0118724 + 0.0141489i −0.771948 0.635686i \(-0.780717\pi\)
0.760076 + 0.649835i \(0.225162\pi\)
\(114\) 6.07284 + 4.40869i 0.568774 + 0.412912i
\(115\) 7.14127 19.6205i 0.665926 1.82962i
\(116\) −5.55779 + 3.20879i −0.516028 + 0.297929i
\(117\) 13.3628 4.35293i 1.23539 0.402429i
\(118\) −0.996878 0.575548i −0.0917701 0.0529835i
\(119\) 1.55139 12.9078i 0.142215 1.18326i
\(120\) −0.309316 4.39967i −0.0282366 0.401633i
\(121\) −2.91933 + 16.5563i −0.265394 + 1.50512i
\(122\) −1.04515 + 5.92736i −0.0946237 + 0.536638i
\(123\) 9.13648 0.642334i 0.823809 0.0579173i
\(124\) 3.77611 + 4.50020i 0.339105 + 0.404130i
\(125\) 4.47628 7.75314i 0.400370 0.693462i
\(126\) −3.82507 + 6.95477i −0.340764 + 0.619580i
\(127\) −9.42794 16.3297i −0.836595 1.44902i −0.892725 0.450601i \(-0.851210\pi\)
0.0561306 0.998423i \(-0.482124\pi\)
\(128\) 0.342020 0.939693i 0.0302306 0.0830579i
\(129\) 5.73614 + 4.16425i 0.505039 + 0.366642i
\(130\) −9.13817 7.66784i −0.801471 0.672514i
\(131\) 8.02081 2.91934i 0.700781 0.255064i 0.0330369 0.999454i \(-0.489482\pi\)
0.667744 + 0.744391i \(0.267260\pi\)
\(132\) 2.51445 8.78139i 0.218855 0.764322i
\(133\) −6.87527 + 9.17249i −0.596162 + 0.795356i
\(134\) 7.25974i 0.627146i
\(135\) 0.476679 + 13.2230i 0.0410260 + 1.13805i
\(136\) 4.91380i 0.421355i
\(137\) −5.88182 + 1.03712i −0.502518 + 0.0886075i −0.419160 0.907912i \(-0.637676\pi\)
−0.0833577 + 0.996520i \(0.526564\pi\)
\(138\) −10.2125 + 9.86948i −0.869342 + 0.840146i
\(139\) 0.558807 + 1.53531i 0.0473974 + 0.130223i 0.961133 0.276087i \(-0.0890376\pi\)
−0.913735 + 0.406310i \(0.866815\pi\)
\(140\) 6.72704 0.369799i 0.568539 0.0312537i
\(141\) −0.402435 + 3.84280i −0.0338911 + 0.323622i
\(142\) 8.45228 + 3.07638i 0.709299 + 0.258164i
\(143\) −12.3526 21.3954i −1.03298 1.78917i
\(144\) −1.12173 + 2.78240i −0.0934775 + 0.231866i
\(145\) −14.1525 8.17094i −1.17530 0.678560i
\(146\) −6.66456 + 5.59223i −0.551563 + 0.462816i
\(147\) −10.5331 6.00445i −0.868757 0.495239i
\(148\) 0.155630 0.882622i 0.0127927 0.0725511i
\(149\) 20.7850 + 3.66496i 1.70278 + 0.300246i 0.938663 0.344835i \(-0.112065\pi\)
0.764114 + 0.645081i \(0.223176\pi\)
\(150\) 2.13076 1.43838i 0.173976 0.117443i
\(151\) 16.8405 14.1309i 1.37046 1.14995i 0.397868 0.917443i \(-0.369750\pi\)
0.972594 0.232511i \(-0.0746942\pi\)
\(152\) −2.16633 + 3.75220i −0.175713 + 0.304344i
\(153\) −0.503398 + 14.7328i −0.0406973 + 1.19108i
\(154\) 13.3536 + 4.04529i 1.07606 + 0.325979i
\(155\) −5.11634 + 14.0570i −0.410954 + 1.12909i
\(156\) 3.30305 + 7.41128i 0.264456 + 0.593377i
\(157\) 6.33840 7.55381i 0.505859 0.602860i −0.451318 0.892363i \(-0.649046\pi\)
0.957177 + 0.289504i \(0.0934903\pi\)
\(158\) 3.61721 + 9.93821i 0.287770 + 0.790641i
\(159\) −15.8339 + 3.95416i −1.25571 + 0.313585i
\(160\) 2.50773 0.442181i 0.198254 0.0349575i
\(161\) −14.8359 15.8282i −1.16923 1.24744i
\(162\) 3.64827 8.22740i 0.286635 0.646406i
\(163\) −6.19088 −0.484907 −0.242454 0.970163i \(-0.577952\pi\)
−0.242454 + 0.970163i \(0.577952\pi\)
\(164\) 0.918246 + 5.20763i 0.0717030 + 0.406648i
\(165\) 22.5667 5.63552i 1.75682 0.438725i
\(166\) 4.31167 + 11.8462i 0.334651 + 0.919445i
\(167\) 3.15479 + 2.64718i 0.244125 + 0.204845i 0.756638 0.653835i \(-0.226841\pi\)
−0.512513 + 0.858680i \(0.671285\pi\)
\(168\) −4.22352 1.77818i −0.325851 0.137189i
\(169\) 8.40625 + 3.05962i 0.646635 + 0.235356i
\(170\) 10.8362 6.25630i 0.831101 0.479836i
\(171\) 6.87961 11.0281i 0.526097 0.843340i
\(172\) −2.04622 + 3.54416i −0.156023 + 0.270240i
\(173\) 5.13237 4.30657i 0.390207 0.327423i −0.426487 0.904494i \(-0.640249\pi\)
0.816694 + 0.577071i \(0.195805\pi\)
\(174\) 6.21922 + 9.21290i 0.471478 + 0.698428i
\(175\) 2.14720 + 3.28796i 0.162313 + 0.248547i
\(176\) 5.19357 + 0.915766i 0.391480 + 0.0690284i
\(177\) −0.873332 + 1.79230i −0.0656436 + 0.134718i
\(178\) −6.38449 7.60874i −0.478538 0.570299i
\(179\) −0.794596 0.458760i −0.0593909 0.0342893i 0.470011 0.882661i \(-0.344250\pi\)
−0.529401 + 0.848371i \(0.677583\pi\)
\(180\) −7.56412 + 1.06886i −0.563796 + 0.0796684i
\(181\) −6.84551 + 3.95226i −0.508823 + 0.293769i −0.732350 0.680929i \(-0.761576\pi\)
0.223527 + 0.974698i \(0.428243\pi\)
\(182\) −11.3967 + 4.87202i −0.844776 + 0.361138i
\(183\) 10.3682 + 1.08580i 0.766437 + 0.0802646i
\(184\) −6.28127 5.27061i −0.463061 0.388554i
\(185\) 2.14456 0.780558i 0.157672 0.0573877i
\(186\) 7.31669 7.07096i 0.536486 0.518468i
\(187\) 25.5201 4.49989i 1.86622 0.329065i
\(188\) −2.23078 −0.162696
\(189\) 12.4810 + 5.76410i 0.907859 + 0.419277i
\(190\) −11.0328 −0.800403
\(191\) 13.9436 2.45864i 1.00893 0.177901i 0.355327 0.934742i \(-0.384370\pi\)
0.653598 + 0.756841i \(0.273259\pi\)
\(192\) −1.66513 0.476792i −0.120171 0.0344095i
\(193\) −6.23166 + 2.26814i −0.448565 + 0.163264i −0.556418 0.830903i \(-0.687825\pi\)
0.107853 + 0.994167i \(0.465602\pi\)
\(194\) −4.87530 4.09086i −0.350026 0.293707i
\(195\) −12.1384 + 16.7202i −0.869246 + 1.19736i
\(196\) 2.81442 6.40929i 0.201030 0.457807i
\(197\) 0.128455 0.0741633i 0.00915201 0.00528392i −0.495417 0.868655i \(-0.664985\pi\)
0.504569 + 0.863371i \(0.331651\pi\)
\(198\) −15.4778 3.27775i −1.09996 0.232940i
\(199\) −1.74511 1.00754i −0.123708 0.0714226i 0.436869 0.899525i \(-0.356087\pi\)
−0.560577 + 0.828102i \(0.689421\pi\)
\(200\) 0.954063 + 1.13701i 0.0674625 + 0.0803986i
\(201\) 12.5433 0.881847i 0.884735 0.0622007i
\(202\) 10.5285 + 1.85647i 0.740785 + 0.130620i
\(203\) −14.2164 + 9.28399i −0.997794 + 0.651608i
\(204\) −8.48999 + 0.596884i −0.594419 + 0.0417902i
\(205\) −10.3151 + 8.65539i −0.720437 + 0.604519i
\(206\) 1.20518 2.08743i 0.0839687 0.145438i
\(207\) 18.2929 + 16.4461i 1.27144 + 1.14308i
\(208\) −4.05701 + 2.34231i −0.281303 + 0.162410i
\(209\) −21.4711 7.81486i −1.48519 0.540565i
\(210\) −1.45607 11.5780i −0.100479 0.798956i
\(211\) −7.67430 6.43950i −0.528320 0.443314i 0.339201 0.940714i \(-0.389843\pi\)
−0.867521 + 0.497401i \(0.834288\pi\)
\(212\) −3.22267 8.85422i −0.221334 0.608110i
\(213\) 4.28862 14.9774i 0.293851 1.02624i
\(214\) −1.50098 8.51250i −0.102605 0.581903i
\(215\) −10.4211 −0.710712
\(216\) 4.94364 + 1.60013i 0.336372 + 0.108875i
\(217\) 10.6291 + 11.3401i 0.721552 + 0.769815i
\(218\) −9.91809 + 1.74883i −0.671738 + 0.118445i
\(219\) 10.4717 + 10.8356i 0.707614 + 0.732205i
\(220\) 4.59300 + 12.6192i 0.309660 + 0.850783i
\(221\) −14.7965 + 17.6338i −0.995323 + 1.18618i
\(222\) −1.54389 0.161683i −0.103619 0.0108514i
\(223\) −6.12585 + 16.8306i −0.410217 + 1.12706i 0.546859 + 0.837225i \(0.315823\pi\)
−0.957076 + 0.289837i \(0.906399\pi\)
\(224\) 0.767071 2.53211i 0.0512521 0.169184i
\(225\) −2.74404 3.50677i −0.182936 0.233785i
\(226\) −0.0981700 + 0.170035i −0.00653017 + 0.0113106i
\(227\) 3.31314 2.78006i 0.219901 0.184519i −0.526182 0.850372i \(-0.676377\pi\)
0.746083 + 0.665853i \(0.231932\pi\)
\(228\) 6.74614 + 3.28718i 0.446774 + 0.217699i
\(229\) −11.5039 2.02846i −0.760202 0.134044i −0.219908 0.975521i \(-0.570576\pi\)
−0.540294 + 0.841476i \(0.681687\pi\)
\(230\) 3.62572 20.5625i 0.239073 1.35585i
\(231\) 5.36733 23.5635i 0.353144 1.55036i
\(232\) −4.91616 + 4.12515i −0.322762 + 0.270829i
\(233\) −5.83805 3.37060i −0.382464 0.220816i 0.296426 0.955056i \(-0.404205\pi\)
−0.678890 + 0.734240i \(0.737539\pi\)
\(234\) 12.4039 6.60722i 0.810867 0.431928i
\(235\) −2.84025 4.91945i −0.185277 0.320910i
\(236\) −1.08168 0.393698i −0.0704111 0.0256275i
\(237\) 16.7317 7.45697i 1.08684 0.484382i
\(238\) −0.713596 12.9811i −0.0462556 0.841439i
\(239\) 6.92882 + 19.0368i 0.448188 + 1.23139i 0.933984 + 0.357315i \(0.116308\pi\)
−0.485796 + 0.874072i \(0.661470\pi\)
\(240\) −1.06861 4.27912i −0.0689786 0.276216i
\(241\) 1.77571 0.313105i 0.114383 0.0201689i −0.116163 0.993230i \(-0.537060\pi\)
0.230547 + 0.973061i \(0.425949\pi\)
\(242\) 16.8118i 1.08070i
\(243\) −14.6583 5.30404i −0.940333 0.340254i
\(244\) 6.01880i 0.385314i
\(245\) 17.7175 1.95384i 1.13193 0.124826i
\(246\) 8.88614 2.21911i 0.566559 0.141485i
\(247\) 19.0729 6.94196i 1.21358 0.441706i
\(248\) 4.50020 + 3.77611i 0.285763 + 0.239784i
\(249\) 19.9440 8.88862i 1.26390 0.563293i
\(250\) 3.06195 8.41265i 0.193655 0.532063i
\(251\) 2.51607 + 4.35797i 0.158813 + 0.275073i 0.934441 0.356118i \(-0.115900\pi\)
−0.775628 + 0.631191i \(0.782567\pi\)
\(252\) −2.55928 + 7.51333i −0.161219 + 0.473295i
\(253\) 21.6211 37.4488i 1.35931 2.35439i
\(254\) −12.1203 14.4444i −0.760497 0.906325i
\(255\) −12.1258 17.9627i −0.759349 1.12487i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 3.84339 21.7969i 0.239744 1.35966i −0.592645 0.805464i \(-0.701916\pi\)
0.832389 0.554192i \(-0.186973\pi\)
\(258\) 6.37211 + 3.10492i 0.396710 + 0.193304i
\(259\) 0.282961 2.35428i 0.0175823 0.146288i
\(260\) −10.3308 5.96452i −0.640692 0.369904i
\(261\) 15.1625 11.8646i 0.938534 0.734399i
\(262\) 7.39202 4.26778i 0.456680 0.263665i
\(263\) −4.76860 + 13.1016i −0.294045 + 0.807881i 0.701420 + 0.712748i \(0.252550\pi\)
−0.995465 + 0.0951329i \(0.969672\pi\)
\(264\) 0.951380 9.08461i 0.0585534 0.559119i
\(265\) 15.4228 18.3801i 0.947413 1.12908i
\(266\) −5.17803 + 10.2270i −0.317486 + 0.627059i
\(267\) −12.3707 + 11.9553i −0.757077 + 0.731651i
\(268\) 1.26064 + 7.14945i 0.0770059 + 0.436722i
\(269\) −5.96085 −0.363440 −0.181720 0.983350i \(-0.558166\pi\)
−0.181720 + 0.983350i \(0.558166\pi\)
\(270\) 2.76559 + 12.9393i 0.168308 + 0.787463i
\(271\) 28.5645i 1.73517i −0.497287 0.867586i \(-0.665670\pi\)
0.497287 0.867586i \(-0.334330\pi\)
\(272\) −0.853272 4.83915i −0.0517372 0.293416i
\(273\) 9.80217 + 19.0992i 0.593254 + 1.15593i
\(274\) −5.61237 + 2.04274i −0.339056 + 0.123406i
\(275\) −5.03143 + 5.99622i −0.303407 + 0.361586i
\(276\) −8.34349 + 11.4929i −0.502219 + 0.691792i
\(277\) −19.9590 7.26448i −1.19922 0.436480i −0.336268 0.941766i \(-0.609165\pi\)
−0.862952 + 0.505286i \(0.831387\pi\)
\(278\) 0.816921 + 1.41495i 0.0489957 + 0.0848630i
\(279\) −13.1059 11.7828i −0.784628 0.705416i
\(280\) 6.56063 1.53232i 0.392072 0.0915736i
\(281\) 0.144779 + 0.172541i 0.00863681 + 0.0102930i 0.770346 0.637627i \(-0.220084\pi\)
−0.761709 + 0.647920i \(0.775639\pi\)
\(282\) 0.270974 + 3.85430i 0.0161363 + 0.229520i
\(283\) 20.6570 + 3.64238i 1.22793 + 0.216517i 0.749735 0.661738i \(-0.230181\pi\)
0.478193 + 0.878255i \(0.341292\pi\)
\(284\) 8.85808 + 1.56192i 0.525630 + 0.0926828i
\(285\) 1.34016 + 19.0623i 0.0793844 + 1.12915i
\(286\) −15.8802 18.9253i −0.939018 1.11908i
\(287\) 3.18206 + 13.6240i 0.187831 + 0.804198i
\(288\) −0.621530 + 2.93491i −0.0366240 + 0.172941i
\(289\) −3.57271 6.18812i −0.210160 0.364007i
\(290\) −15.3563 5.58925i −0.901755 0.328212i
\(291\) −6.47593 + 8.92040i −0.379626 + 0.522923i
\(292\) −5.59223 + 6.66456i −0.327260 + 0.390014i
\(293\) −7.26899 + 2.64570i −0.424659 + 0.154563i −0.545504 0.838108i \(-0.683662\pi\)
0.120845 + 0.992671i \(0.461440\pi\)
\(294\) −11.4158 4.08417i −0.665781 0.238194i
\(295\) −0.508993 2.88664i −0.0296347 0.168067i
\(296\) 0.896238i 0.0520928i
\(297\) −3.78316 + 27.1405i −0.219521 + 1.57485i
\(298\) 21.1057 1.22262
\(299\) 6.67020 + 37.8286i 0.385748 + 2.18768i
\(300\) 1.84862 1.78653i 0.106730 0.103145i
\(301\) −4.89094 + 9.65999i −0.281909 + 0.556792i
\(302\) 14.1309 16.8405i 0.813140 0.969063i
\(303\) 1.92866 18.4166i 0.110799 1.05800i
\(304\) −1.48186 + 4.07137i −0.0849904 + 0.233509i
\(305\) −13.2730 + 7.66319i −0.760012 + 0.438793i
\(306\) 2.06257 + 14.5964i 0.117910 + 0.834420i
\(307\) 20.6696 + 11.9336i 1.17968 + 0.681087i 0.955940 0.293562i \(-0.0948409\pi\)
0.223737 + 0.974649i \(0.428174\pi\)
\(308\) 13.8532 + 1.66501i 0.789357 + 0.0948728i
\(309\) −3.75303 1.82873i −0.213502 0.104033i
\(310\) −2.59763 + 14.7319i −0.147536 + 0.836717i
\(311\) 0.0614824 0.348684i 0.00348634 0.0197720i −0.983015 0.183525i \(-0.941249\pi\)
0.986501 + 0.163753i \(0.0523601\pi\)
\(312\) 4.53983 + 6.72512i 0.257017 + 0.380735i
\(313\) −6.73049 8.02108i −0.380430 0.453378i 0.541520 0.840688i \(-0.317849\pi\)
−0.921950 + 0.387309i \(0.873405\pi\)
\(314\) 4.93040 8.53970i 0.278239 0.481923i
\(315\) −19.8274 + 3.92217i −1.11715 + 0.220989i
\(316\) 5.28801 + 9.15910i 0.297474 + 0.515240i
\(317\) −3.47766 + 9.55480i −0.195325 + 0.536651i −0.998231 0.0594545i \(-0.981064\pi\)
0.802906 + 0.596106i \(0.203286\pi\)
\(318\) −14.9067 + 6.64362i −0.835928 + 0.372556i
\(319\) −25.9263 21.7547i −1.45159 1.21803i
\(320\) 2.39285 0.870927i 0.133765 0.0486863i
\(321\) −14.5255 + 3.62740i −0.810732 + 0.202462i
\(322\) −17.3590 13.0115i −0.967381 0.725103i
\(323\) 21.2899i 1.18460i
\(324\) 2.16417 8.73592i 0.120232 0.485329i
\(325\) 6.95320i 0.385694i
\(326\) −6.09683 + 1.07503i −0.337672 + 0.0595407i
\(327\) 4.22636 + 16.9239i 0.233718 + 0.935894i
\(328\) 1.80859 + 4.96907i 0.0998628 + 0.274371i
\(329\) −5.89318 + 0.323960i −0.324901 + 0.0178605i
\(330\) 21.2453 9.46857i 1.16951 0.521228i
\(331\) −16.3609 5.95487i −0.899276 0.327310i −0.149313 0.988790i \(-0.547706\pi\)
−0.749962 + 0.661480i \(0.769928\pi\)
\(332\) 6.30324 + 10.9175i 0.345935 + 0.599178i
\(333\) −0.0918157 + 2.68714i −0.00503147 + 0.147255i
\(334\) 3.56654 + 2.05914i 0.195152 + 0.112671i
\(335\) −14.1614 + 11.8828i −0.773718 + 0.649227i
\(336\) −4.46813 1.01776i −0.243756 0.0555232i
\(337\) −5.51923 + 31.3011i −0.300652 + 1.70508i 0.342647 + 0.939464i \(0.388677\pi\)
−0.643298 + 0.765616i \(0.722435\pi\)
\(338\) 8.80984 + 1.55341i 0.479192 + 0.0844945i
\(339\) 0.305710 + 0.148962i 0.0166039 + 0.00809053i
\(340\) 9.58521 8.04295i 0.519831 0.436190i
\(341\) −15.4904 + 26.8301i −0.838851 + 1.45293i
\(342\) 4.86008 12.0552i 0.262803 0.651870i
\(343\) 6.50425 17.3406i 0.351196 0.936302i
\(344\) −1.39970 + 3.84564i −0.0754666 + 0.207343i
\(345\) −35.9679 3.76672i −1.93645 0.202793i
\(346\) 4.30657 5.13237i 0.231523 0.275918i
\(347\) 5.65025 + 15.5239i 0.303321 + 0.833369i 0.993917 + 0.110128i \(0.0351261\pi\)
−0.690596 + 0.723241i \(0.742652\pi\)
\(348\) 7.72454 + 7.99298i 0.414079 + 0.428469i
\(349\) 22.1665 3.90856i 1.18655 0.209220i 0.454672 0.890659i \(-0.349756\pi\)
0.731875 + 0.681439i \(0.238645\pi\)
\(350\) 2.68553 + 2.86515i 0.143548 + 0.153149i
\(351\) −12.9226 20.6287i −0.689756 1.10108i
\(352\) 5.27368 0.281088
\(353\) −6.42145 36.4179i −0.341779 1.93833i −0.345728 0.938335i \(-0.612368\pi\)
0.00394896 0.999992i \(-0.498743\pi\)
\(354\) −0.548834 + 1.91673i −0.0291702 + 0.101873i
\(355\) 7.83375 + 21.5231i 0.415772 + 1.14233i
\(356\) −7.60874 6.38449i −0.403262 0.338377i
\(357\) −22.3419 + 2.80977i −1.18246 + 0.148709i
\(358\) −0.862187 0.313810i −0.0455680 0.0165854i
\(359\) 15.1046 8.72065i 0.797191 0.460258i −0.0452971 0.998974i \(-0.514423\pi\)
0.842488 + 0.538715i \(0.181090\pi\)
\(360\) −7.26359 + 2.36612i −0.382825 + 0.124705i
\(361\) −0.114002 + 0.197457i −0.00600009 + 0.0103925i
\(362\) −6.05521 + 5.08092i −0.318255 + 0.267047i
\(363\) 29.0471 2.04214i 1.52458 0.107184i
\(364\) −10.3775 + 6.77701i −0.543928 + 0.355212i
\(365\) −21.8172 3.84696i −1.14196 0.201359i
\(366\) 10.3992 0.731109i 0.543575 0.0382157i
\(367\) 10.2418 + 12.2057i 0.534617 + 0.637131i 0.963972 0.266005i \(-0.0857036\pi\)
−0.429355 + 0.903136i \(0.641259\pi\)
\(368\) −7.10107 4.09981i −0.370169 0.213717i
\(369\) −4.91355 15.0838i −0.255789 0.785231i
\(370\) 1.97644 1.14110i 0.102750 0.0593229i
\(371\) −9.79937 22.9227i −0.508758 1.19009i
\(372\) 5.97768 8.23407i 0.309928 0.426917i
\(373\) 17.5072 + 14.6903i 0.906490 + 0.760636i 0.971448 0.237252i \(-0.0762468\pi\)
−0.0649577 + 0.997888i \(0.520691\pi\)
\(374\) 24.3510 8.86305i 1.25916 0.458298i
\(375\) −14.9072 4.26851i −0.769805 0.220425i
\(376\) −2.19688 + 0.387370i −0.113296 + 0.0199771i
\(377\) 30.0640 1.54838
\(378\) 13.2923 + 3.50923i 0.683682 + 0.180495i
\(379\) −4.48039 −0.230142 −0.115071 0.993357i \(-0.536710\pi\)
−0.115071 + 0.993357i \(0.536710\pi\)
\(380\) −10.8652 + 1.91582i −0.557372 + 0.0982797i
\(381\) −23.4847 + 22.6959i −1.20316 + 1.16275i
\(382\) 13.3048 4.84257i 0.680735 0.247767i
\(383\) 5.35178 + 4.49067i 0.273463 + 0.229463i 0.769197 0.639012i \(-0.220656\pi\)
−0.495734 + 0.868474i \(0.665101\pi\)
\(384\) −1.72263 0.180401i −0.0879076 0.00920607i
\(385\) 13.9662 + 32.6698i 0.711783 + 1.66501i
\(386\) −5.74313 + 3.31580i −0.292318 + 0.168770i
\(387\) 4.59061 11.3868i 0.233354 0.578823i
\(388\) −5.51161 3.18213i −0.279809 0.161548i
\(389\) −8.41647 10.0304i −0.426732 0.508559i 0.509244 0.860622i \(-0.329925\pi\)
−0.935976 + 0.352062i \(0.885480\pi\)
\(390\) −9.05051 + 18.5740i −0.458291 + 0.940532i
\(391\) −39.6791 6.99650i −2.00666 0.353828i
\(392\) 1.65870 6.80064i 0.0837770 0.343484i
\(393\) −8.27173 12.2534i −0.417254 0.618103i
\(394\) 0.113625 0.0953425i 0.00572434 0.00480329i
\(395\) −13.4655 + 23.3229i −0.677523 + 1.17350i
\(396\) −15.8118 0.540266i −0.794574 0.0271494i
\(397\) 2.44969 1.41433i 0.122946 0.0709830i −0.437266 0.899332i \(-0.644053\pi\)
0.560212 + 0.828349i \(0.310720\pi\)
\(398\) −1.89356 0.689198i −0.0949154 0.0345464i
\(399\) 18.2991 + 7.70425i 0.916100 + 0.385695i
\(400\) 1.13701 + 0.954063i 0.0568504 + 0.0477032i
\(401\) −8.93683 24.5537i −0.446284 1.22616i −0.935292 0.353876i \(-0.884863\pi\)
0.489008 0.872279i \(-0.337359\pi\)
\(402\) 12.1996 3.04657i 0.608460 0.151949i
\(403\) −4.77885 27.1022i −0.238051 1.35006i
\(404\) 10.6910 0.531895
\(405\) 22.0205 6.35010i 1.09421 0.315539i
\(406\) −12.3883 + 11.6116i −0.614819 + 0.576274i
\(407\) 4.65467 0.820744i 0.230723 0.0406828i
\(408\) −8.25736 + 2.06209i −0.408800 + 0.102089i
\(409\) 0.298506 + 0.820139i 0.0147602 + 0.0405533i 0.946854 0.321664i \(-0.104242\pi\)
−0.932094 + 0.362217i \(0.882020\pi\)
\(410\) −8.65539 + 10.3151i −0.427459 + 0.509426i
\(411\) 4.21115 + 9.44884i 0.207721 + 0.466077i
\(412\) 0.824390 2.26499i 0.0406148 0.111588i
\(413\) −2.91471 0.882972i −0.143423 0.0434482i
\(414\) 20.8708 + 13.0197i 1.02574 + 0.639884i
\(415\) −16.0507 + 27.8006i −0.787898 + 1.36468i
\(416\) −3.58863 + 3.01122i −0.175947 + 0.147637i
\(417\) 2.34550 1.58334i 0.114859 0.0775365i
\(418\) −22.5020 3.96771i −1.10061 0.194067i
\(419\) −3.55710 + 20.1733i −0.173776 + 0.985532i 0.765772 + 0.643113i \(0.222357\pi\)
−0.939547 + 0.342419i \(0.888754\pi\)
\(420\) −3.44444 11.1492i −0.168072 0.544027i
\(421\) 3.29401 2.76400i 0.160540 0.134709i −0.558979 0.829182i \(-0.688807\pi\)
0.719519 + 0.694473i \(0.244362\pi\)
\(422\) −8.67592 5.00904i −0.422337 0.243836i
\(423\) 6.62649 0.936371i 0.322191 0.0455279i
\(424\) −4.71123 8.16009i −0.228798 0.396289i
\(425\) 6.85351 + 2.49447i 0.332444 + 0.121000i
\(426\) 1.62266 15.4946i 0.0786182 0.750715i
\(427\) 0.874067 + 15.9002i 0.0422991 + 0.769466i
\(428\) −2.95636 8.12254i −0.142901 0.392618i
\(429\) −30.7699 + 29.7365i −1.48559 + 1.43569i
\(430\) −10.2628 + 1.80960i −0.494914 + 0.0872667i
\(431\) 5.00891i 0.241271i −0.992697 0.120635i \(-0.961507\pi\)
0.992697 0.120635i \(-0.0384932\pi\)
\(432\) 5.14640 + 0.717365i 0.247606 + 0.0345142i
\(433\) 23.3737i 1.12327i 0.827386 + 0.561633i \(0.189827\pi\)
−0.827386 + 0.561633i \(0.810173\pi\)
\(434\) 12.4368 + 9.32207i 0.596987 + 0.447474i
\(435\) −7.79168 + 27.2114i −0.373583 + 1.30469i
\(436\) −9.46373 + 3.44452i −0.453231 + 0.164962i
\(437\) 27.2146 + 22.8358i 1.30185 + 1.09238i
\(438\) 12.1942 + 8.85263i 0.582663 + 0.422995i
\(439\) 7.67296 21.0813i 0.366210 1.00615i −0.610580 0.791955i \(-0.709063\pi\)
0.976790 0.214200i \(-0.0687143\pi\)
\(440\) 6.71451 + 11.6299i 0.320102 + 0.554432i
\(441\) −5.66989 + 20.2201i −0.269995 + 0.962862i
\(442\) −11.5097 + 19.9353i −0.547459 + 0.948227i
\(443\) 14.4266 + 17.1930i 0.685429 + 0.816863i 0.990795 0.135373i \(-0.0432232\pi\)
−0.305366 + 0.952235i \(0.598779\pi\)
\(444\) −1.54851 + 0.108867i −0.0734889 + 0.00516659i
\(445\) 4.39197 24.9081i 0.208199 1.18076i
\(446\) −3.11017 + 17.6387i −0.147271 + 0.835216i
\(447\) −2.56373 36.4661i −0.121260 1.72479i
\(448\) 0.315721 2.62685i 0.0149164 0.124107i
\(449\) 16.7414 + 9.66565i 0.790075 + 0.456150i 0.839989 0.542603i \(-0.182561\pi\)
−0.0499138 + 0.998754i \(0.515895\pi\)
\(450\) −3.31130 2.97700i −0.156096 0.140337i
\(451\) −24.1509 + 13.9435i −1.13722 + 0.656576i
\(452\) −0.0671522 + 0.184499i −0.00315858 + 0.00867811i
\(453\) −30.8133 22.3695i −1.44773 1.05101i
\(454\) 2.78006 3.31314i 0.130475 0.155494i
\(455\) −28.1578 14.2566i −1.32006 0.668358i
\(456\) 7.21447 + 2.06578i 0.337848 + 0.0967391i
\(457\) −0.271050 1.53720i −0.0126792 0.0719073i 0.977812 0.209486i \(-0.0671791\pi\)
−0.990491 + 0.137579i \(0.956068\pi\)
\(458\) −11.6814 −0.545837
\(459\) 24.9689 5.33672i 1.16545 0.249097i
\(460\) 20.8797i 0.973519i
\(461\) −6.66828 37.8177i −0.310573 1.76135i −0.596037 0.802957i \(-0.703259\pi\)
0.285465 0.958389i \(-0.407852\pi\)
\(462\) 1.19403 24.1375i 0.0555512 1.12298i
\(463\) 23.6904 8.62262i 1.10099 0.400727i 0.273308 0.961927i \(-0.411882\pi\)
0.827681 + 0.561200i \(0.189660\pi\)
\(464\) −4.12515 + 4.91616i −0.191505 + 0.228227i
\(465\) 25.7691 + 2.69866i 1.19502 + 0.125147i
\(466\) −6.33466 2.30563i −0.293447 0.106806i
\(467\) −15.5985 27.0174i −0.721813 1.25022i −0.960272 0.279064i \(-0.909976\pi\)
0.238459 0.971152i \(-0.423358\pi\)
\(468\) 11.0681 8.66075i 0.511624 0.400344i
\(469\) 4.36858 + 18.7041i 0.201722 + 0.863674i
\(470\) −3.65135 4.35151i −0.168424 0.200720i
\(471\) −15.3537 7.48135i −0.707460 0.344722i
\(472\) −1.13361 0.199886i −0.0521785 0.00920048i
\(473\) −21.2544 3.74772i −0.977277 0.172320i
\(474\) 15.1826 10.2491i 0.697361 0.470757i
\(475\) −4.13364 4.92628i −0.189664 0.226033i
\(476\) −2.95690 12.6600i −0.135529 0.580269i
\(477\) 13.2895 + 24.9486i 0.608484 + 1.14232i
\(478\) 10.1293 + 17.5444i 0.463302 + 0.802462i
\(479\) 24.8417 + 9.04163i 1.13504 + 0.413123i 0.840121 0.542398i \(-0.182484\pi\)
0.294923 + 0.955521i \(0.404706\pi\)
\(480\) −1.79544 4.02855i −0.0819502 0.183877i
\(481\) −2.69877 + 3.21627i −0.123053 + 0.146649i
\(482\) 1.69436 0.616696i 0.0771759 0.0280897i
\(483\) −20.3725 + 31.5732i −0.926981 + 1.43663i
\(484\) 2.91933 + 16.5563i 0.132697 + 0.752561i
\(485\) 16.2061i 0.735880i
\(486\) −15.3567 2.67807i −0.696594 0.121479i
\(487\) −6.11954 −0.277303 −0.138651 0.990341i \(-0.544277\pi\)
−0.138651 + 0.990341i \(0.544277\pi\)
\(488\) 1.04515 + 5.92736i 0.0473119 + 0.268319i
\(489\) 2.59802 + 10.4034i 0.117486 + 0.470459i
\(490\) 17.1091 5.00078i 0.772910 0.225912i
\(491\) 12.1413 14.4695i 0.547930 0.652998i −0.419016 0.907979i \(-0.637625\pi\)
0.966946 + 0.254981i \(0.0820693\pi\)
\(492\) 8.36579 3.72846i 0.377159 0.168092i
\(493\) −10.7855 + 29.6330i −0.485755 + 1.33460i
\(494\) 17.5777 10.1485i 0.790856 0.456601i
\(495\) −18.9404 35.5571i −0.851306 1.59817i
\(496\) 5.08755 + 2.93730i 0.228438 + 0.131888i
\(497\) 23.6278 + 2.83982i 1.05985 + 0.127383i
\(498\) 18.0975 12.2168i 0.810969 0.547449i
\(499\) −0.224409 + 1.27269i −0.0100459 + 0.0569733i −0.989419 0.145089i \(-0.953653\pi\)
0.979373 + 0.202062i \(0.0647643\pi\)
\(500\) 1.55460 8.81655i 0.0695236 0.394288i
\(501\) 3.12453 6.41235i 0.139594 0.286482i
\(502\) 3.23460 + 3.85485i 0.144367 + 0.172050i
\(503\) 1.03602 1.79445i 0.0461941 0.0800105i −0.842004 0.539471i \(-0.818624\pi\)
0.888198 + 0.459461i \(0.151957\pi\)
\(504\) −1.21572 + 7.84360i −0.0541524 + 0.349382i
\(505\) 13.6118 + 23.5764i 0.605719 + 1.04914i
\(506\) 14.7897 40.6343i 0.657482 1.80642i
\(507\) 1.61383 15.4102i 0.0716725 0.684391i
\(508\) −14.4444 12.1203i −0.640869 0.537753i
\(509\) 26.3345 9.58496i 1.16725 0.424846i 0.315571 0.948902i \(-0.397804\pi\)
0.851684 + 0.524056i \(0.175582\pi\)
\(510\) −15.0608 15.5842i −0.666904 0.690080i
\(511\) −13.8055 + 18.4183i −0.610719 + 0.814778i
\(512\) 1.00000i 0.0441942i
\(513\) −21.4191 6.93282i −0.945678 0.306092i
\(514\) 22.1332i 0.976254i
\(515\) 6.04453 1.06581i 0.266354 0.0469654i
\(516\) 6.81446 + 1.95125i 0.299990 + 0.0858988i
\(517\) −4.02366 11.0549i −0.176961 0.486195i
\(518\) −0.130154 2.36765i −0.00571865 0.104028i
\(519\) −9.39076 6.81740i −0.412209 0.299251i
\(520\) −11.2096 4.07997i −0.491575 0.178919i
\(521\) 8.50594 + 14.7327i 0.372652 + 0.645452i 0.989973 0.141260i \(-0.0451152\pi\)
−0.617321 + 0.786712i \(0.711782\pi\)
\(522\) 12.8719 14.3173i 0.563386 0.626650i
\(523\) 22.5596 + 13.0248i 0.986461 + 0.569533i 0.904214 0.427079i \(-0.140457\pi\)
0.0822461 + 0.996612i \(0.473791\pi\)
\(524\) 6.53862 5.48656i 0.285641 0.239681i
\(525\) 4.62416 4.98805i 0.201815 0.217696i
\(526\) −2.42108 + 13.7306i −0.105564 + 0.598685i
\(527\) 28.4280 + 5.01263i 1.23834 + 0.218353i
\(528\) −0.640599 9.11180i −0.0278785 0.396540i
\(529\) −33.8849 + 28.4328i −1.47326 + 1.23621i
\(530\) 11.9968 20.7790i 0.521107 0.902583i
\(531\) 3.37836 + 0.715440i 0.146608 + 0.0310475i
\(532\) −3.32346 + 10.9708i −0.144090 + 0.475645i
\(533\) 8.47258 23.2782i 0.366988 1.00829i
\(534\) −10.1068 + 13.9218i −0.437364 + 0.602455i
\(535\) 14.1483 16.8613i 0.611683 0.728976i
\(536\) 2.48298 + 6.82193i 0.107248 + 0.294662i
\(537\) −0.437467 + 1.52779i −0.0188781 + 0.0659291i
\(538\) −5.87030 + 1.03509i −0.253086 + 0.0446260i
\(539\) 36.8386 + 2.38677i 1.58675 + 0.102805i
\(540\) 4.97046 + 12.2625i 0.213895 + 0.527695i
\(541\) 4.76276 0.204767 0.102384 0.994745i \(-0.467353\pi\)
0.102384 + 0.994745i \(0.467353\pi\)
\(542\) −4.96018 28.1306i −0.213058 1.20831i
\(543\) 9.51428 + 9.84492i 0.408297 + 0.422486i
\(544\) −1.68062 4.61746i −0.0720559 0.197972i
\(545\) −19.6454 16.4844i −0.841516 0.706116i
\(546\) 12.9698 + 17.1069i 0.555056 + 0.732107i
\(547\) −9.23709 3.36202i −0.394949 0.143750i 0.136908 0.990584i \(-0.456284\pi\)
−0.531857 + 0.846834i \(0.678506\pi\)
\(548\) −5.17239 + 2.98628i −0.220953 + 0.127568i
\(549\) −2.52640 17.8788i −0.107824 0.763047i
\(550\) −3.91376 + 6.77882i −0.166883 + 0.289050i
\(551\) 21.3001 17.8729i 0.907413 0.761410i
\(552\) −6.22101 + 12.7671i −0.264784 + 0.543406i
\(553\) 15.2998 + 23.4282i 0.650613 + 0.996270i
\(554\) −20.9172 3.68827i −0.888688 0.156700i
\(555\) −2.21166 3.27626i −0.0938795 0.139069i
\(556\) 1.05021 + 1.25160i 0.0445390 + 0.0530795i
\(557\) −18.1232 10.4635i −0.767906 0.443351i 0.0642211 0.997936i \(-0.479544\pi\)
−0.832127 + 0.554585i \(0.812877\pi\)
\(558\) −14.9528 9.32794i −0.633003 0.394883i
\(559\) 16.6031 9.58579i 0.702235 0.405436i
\(560\) 6.19487 2.64828i 0.261781 0.111910i
\(561\) −18.2714 40.9968i −0.771419 1.73089i
\(562\) 0.172541 + 0.144779i 0.00727822 + 0.00610715i
\(563\) −17.7561 + 6.46269i −0.748330 + 0.272370i −0.687903 0.725803i \(-0.741469\pi\)
−0.0604272 + 0.998173i \(0.519246\pi\)
\(564\) 0.936150 + 3.74869i 0.0394190 + 0.157848i
\(565\) −0.492369 + 0.0868179i −0.0207141 + 0.00365246i
\(566\) 20.9756 0.881671
\(567\) 4.44857 23.3925i 0.186822 0.982394i
\(568\) 8.99473 0.377410
\(569\) 9.63394 1.69872i 0.403876 0.0712142i 0.0319797 0.999489i \(-0.489819\pi\)
0.371896 + 0.928274i \(0.378708\pi\)
\(570\) 4.62994 + 18.5400i 0.193927 + 0.776555i
\(571\) 20.3261 7.39809i 0.850620 0.309601i 0.120327 0.992734i \(-0.461606\pi\)
0.730293 + 0.683134i \(0.239383\pi\)
\(572\) −18.9253 15.8802i −0.791307 0.663986i
\(573\) −9.98308 22.3997i −0.417049 0.935761i
\(574\) 5.49949 + 12.8644i 0.229544 + 0.536952i
\(575\) 10.5398 6.08517i 0.439541 0.253769i
\(576\) −0.102446 + 2.99825i −0.00426857 + 0.124927i
\(577\) −32.7558 18.9115i −1.36364 0.787298i −0.373534 0.927617i \(-0.621854\pi\)
−0.990106 + 0.140319i \(0.955187\pi\)
\(578\) −4.59299 5.47371i −0.191043 0.227677i
\(579\) 6.42661 + 9.52013i 0.267081 + 0.395643i
\(580\) −16.0936 2.83774i −0.668251 0.117831i
\(581\) 18.2371 + 27.9262i 0.756604 + 1.15857i
\(582\) −4.82854 + 9.90941i −0.200149 + 0.410758i
\(583\) 38.0656 31.9408i 1.57652 1.32285i
\(584\) −4.34998 + 7.53439i −0.180004 + 0.311775i
\(585\) 33.1913 + 13.3812i 1.37229 + 0.553242i
\(586\) −6.69914 + 3.86775i −0.276739 + 0.159775i
\(587\) 23.0197 + 8.37850i 0.950127 + 0.345818i 0.770157 0.637854i \(-0.220178\pi\)
0.179970 + 0.983672i \(0.442400\pi\)
\(588\) −11.9515 2.03980i −0.492873 0.0841198i
\(589\) −19.4979 16.3606i −0.803395 0.674129i
\(590\) −1.00252 2.75440i −0.0412731 0.113397i
\(591\) −0.178534 0.184738i −0.00734389 0.00759911i
\(592\) −0.155630 0.882622i −0.00639635 0.0362755i
\(593\) 0.129923 0.00533529 0.00266765 0.999996i \(-0.499151\pi\)
0.00266765 + 0.999996i \(0.499151\pi\)
\(594\) 0.987212 + 27.3851i 0.0405058 + 1.12362i
\(595\) 24.1538 22.6395i 0.990210 0.928131i
\(596\) 20.7850 3.66496i 0.851389 0.150123i
\(597\) −0.960775 + 3.35538i −0.0393219 + 0.137326i
\(598\) 13.1377 + 36.0956i 0.537242 + 1.47606i
\(599\) 17.6534 21.0385i 0.721297 0.859608i −0.273459 0.961884i \(-0.588168\pi\)
0.994756 + 0.102276i \(0.0326124\pi\)
\(600\) 1.51030 2.08040i 0.0616579 0.0849319i
\(601\) 4.87437 13.3922i 0.198830 0.546280i −0.799705 0.600393i \(-0.795011\pi\)
0.998535 + 0.0541131i \(0.0172331\pi\)
\(602\) −3.13919 + 10.3625i −0.127944 + 0.422345i
\(603\) −6.74571 20.7082i −0.274707 0.843304i
\(604\) 10.9919 19.0385i 0.447253 0.774664i
\(605\) −32.7942 + 27.5176i −1.33327 + 1.11875i
\(606\) −1.29864 18.4717i −0.0527536 0.750361i
\(607\) −21.3829 3.77039i −0.867907 0.153035i −0.278073 0.960560i \(-0.589696\pi\)
−0.589834 + 0.807525i \(0.700807\pi\)
\(608\) −0.752360 + 4.26684i −0.0305122 + 0.173043i
\(609\) 21.5672 + 19.9938i 0.873946 + 0.810189i
\(610\) −11.7407 + 9.85161i −0.475367 + 0.398880i
\(611\) 9.05027 + 5.22518i 0.366135 + 0.211388i
\(612\) 4.56588 + 14.0165i 0.184565 + 0.566582i
\(613\) 4.50406 + 7.80126i 0.181917 + 0.315090i 0.942533 0.334112i \(-0.108436\pi\)
−0.760616 + 0.649202i \(0.775103\pi\)
\(614\) 22.4278 + 8.16307i 0.905114 + 0.329435i
\(615\) 18.8737 + 13.7017i 0.761059 + 0.552505i
\(616\) 13.9318 0.765860i 0.561329 0.0308574i
\(617\) 8.72811 + 23.9803i 0.351380 + 0.965410i 0.981927 + 0.189259i \(0.0606084\pi\)
−0.630547 + 0.776151i \(0.717169\pi\)
\(618\) −4.01356 1.14924i −0.161449 0.0462292i
\(619\) −27.0379 + 4.76752i −1.08675 + 0.191623i −0.688197 0.725524i \(-0.741597\pi\)
−0.398549 + 0.917147i \(0.630486\pi\)
\(620\) 14.9592i 0.600775i
\(621\) 19.9601 37.6418i 0.800971 1.51051i
\(622\) 0.354063i 0.0141966i
\(623\) −21.0277 15.7613i −0.842455 0.631465i
\(624\) 5.63866 + 5.83462i 0.225727 + 0.233572i
\(625\) 28.3959 10.3353i 1.13584 0.413410i
\(626\) −8.02108 6.73049i −0.320587 0.269004i
\(627\) −4.12201 + 39.3606i −0.164617 + 1.57191i
\(628\) 3.37259 9.26612i 0.134581 0.369758i
\(629\) −2.20197 3.81392i −0.0877981 0.152071i
\(630\) −18.8451 + 7.30557i −0.750806 + 0.291061i
\(631\) 12.0161 20.8125i 0.478354 0.828533i −0.521338 0.853350i \(-0.674567\pi\)
0.999692 + 0.0248169i \(0.00790027\pi\)
\(632\) 6.79813 + 8.10170i 0.270415 + 0.322268i
\(633\) −7.60068 + 15.5986i −0.302100 + 0.619988i
\(634\) −1.76566 + 10.0135i −0.0701232 + 0.397688i
\(635\) 8.33772 47.2856i 0.330872 1.87647i
\(636\) −13.5266 + 9.13121i −0.536365 + 0.362076i
\(637\) −26.4307 + 19.4103i −1.04722 + 0.769064i
\(638\) −29.3101 16.9222i −1.16040 0.669955i
\(639\) −26.9684 0.921471i −1.06686 0.0364528i
\(640\) 2.20527 1.27321i 0.0871708 0.0503281i
\(641\) −6.87187 + 18.8803i −0.271423 + 0.745728i 0.726840 + 0.686807i \(0.240988\pi\)
−0.998263 + 0.0589209i \(0.981234\pi\)
\(642\) −13.6749 + 6.09461i −0.539705 + 0.240535i
\(643\) 25.3998 30.2703i 1.00167 1.19374i 0.0206609 0.999787i \(-0.493423\pi\)
0.981010 0.193958i \(-0.0621326\pi\)
\(644\) −19.3547 9.79948i −0.762683 0.386153i
\(645\) 4.37323 + 17.5120i 0.172196 + 0.689536i
\(646\) 3.69694 + 20.9664i 0.145454 + 0.824912i
\(647\) −10.2344 −0.402357 −0.201178 0.979555i \(-0.564477\pi\)
−0.201178 + 0.979555i \(0.564477\pi\)
\(648\) 0.614316 8.97901i 0.0241326 0.352729i
\(649\) 6.07051i 0.238289i
\(650\) −1.20741 6.84757i −0.0473585 0.268584i
\(651\) 14.5958 22.6205i 0.572055 0.886569i
\(652\) −5.81752 + 2.11741i −0.227832 + 0.0829240i
\(653\) 1.38321 1.64844i 0.0541290 0.0645085i −0.738301 0.674472i \(-0.764371\pi\)
0.792430 + 0.609963i \(0.208816\pi\)
\(654\) 7.10096 + 15.9329i 0.277669 + 0.623025i
\(655\) 20.4244 + 7.43386i 0.798046 + 0.290465i
\(656\) 2.64399 + 4.57952i 0.103230 + 0.178800i
\(657\) 13.8142 22.1444i 0.538943 0.863933i
\(658\) −5.74739 + 1.34238i −0.224057 + 0.0523313i
\(659\) 8.04128 + 9.58322i 0.313244 + 0.373309i 0.899578 0.436760i \(-0.143874\pi\)
−0.586334 + 0.810069i \(0.699430\pi\)
\(660\) 19.2783 13.0139i 0.750407 0.506566i
\(661\) −30.0972 5.30694i −1.17064 0.206416i −0.445673 0.895196i \(-0.647036\pi\)
−0.724971 + 0.688779i \(0.758147\pi\)
\(662\) −17.1464 3.02337i −0.666413 0.117507i
\(663\) 35.8421 + 17.4647i 1.39199 + 0.678272i
\(664\) 8.10329 + 9.65713i 0.314469 + 0.374769i
\(665\) −28.4250 + 6.63903i −1.10227 + 0.257450i
\(666\) 0.376197 + 2.66226i 0.0145773 + 0.103161i
\(667\) 26.3109 + 45.5718i 1.01876 + 1.76455i
\(668\) 3.86992 + 1.40854i 0.149732 + 0.0544979i
\(669\) 30.8537 + 3.23113i 1.19287 + 0.124923i
\(670\) −11.8828 + 14.1614i −0.459073 + 0.547101i
\(671\) −29.8270 + 10.8561i −1.15146 + 0.419097i
\(672\) −4.57698 0.226412i −0.176561 0.00873405i
\(673\) −2.38731 13.5391i −0.0920239 0.521893i −0.995619 0.0935053i \(-0.970193\pi\)
0.903595 0.428388i \(-0.140918\pi\)
\(674\) 31.7840i 1.22427i
\(675\) −4.74140 + 6.08283i −0.182496 + 0.234128i
\(676\) 8.94574 0.344067
\(677\) 4.78160 + 27.1178i 0.183772 + 1.04222i 0.927523 + 0.373766i \(0.121934\pi\)
−0.743751 + 0.668457i \(0.766955\pi\)
\(678\) 0.326932 + 0.0936134i 0.0125558 + 0.00359520i
\(679\) −15.0225 7.60602i −0.576510 0.291892i
\(680\) 8.04295 9.58521i 0.308433 0.367576i
\(681\) −6.06210 4.40089i −0.232300 0.168643i
\(682\) −10.5960 + 29.1124i −0.405743 + 1.11477i
\(683\) −23.1093 + 13.3421i −0.884251 + 0.510523i −0.872058 0.489403i \(-0.837215\pi\)
−0.0121934 + 0.999926i \(0.503881\pi\)
\(684\) 2.69288 12.7160i 0.102965 0.486208i
\(685\) −13.1711 7.60432i −0.503241 0.290546i
\(686\) 3.39428 18.2066i 0.129594 0.695130i
\(687\) 1.41895 + 20.1830i 0.0541364 + 0.770029i
\(688\) −0.710645 + 4.03027i −0.0270931 + 0.153653i
\(689\) −7.66496 + 43.4701i −0.292012 + 1.65608i
\(690\) −36.0756 + 2.53627i −1.37337 + 0.0965542i
\(691\) 25.9753 + 30.9562i 0.988148 + 1.17763i 0.984096 + 0.177637i \(0.0568453\pi\)
0.00405194 + 0.999992i \(0.498710\pi\)
\(692\) 3.34992 5.80223i 0.127345 0.220568i
\(693\) −41.8496 + 0.868984i −1.58973 + 0.0330100i
\(694\) 8.26012 + 14.3069i 0.313550 + 0.543084i
\(695\) −1.42296 + 3.90954i −0.0539758 + 0.148297i
\(696\) 8.99515 + 6.53020i 0.340960 + 0.247527i
\(697\) 19.9049 + 16.7022i 0.753953 + 0.632641i
\(698\) 21.1511 7.69836i 0.800579 0.291387i
\(699\) −3.21416 + 11.2250i −0.121571 + 0.424569i
\(700\) 3.14226 + 2.35529i 0.118766 + 0.0890216i
\(701\) 2.80042i 0.105770i 0.998601 + 0.0528851i \(0.0168417\pi\)
−0.998601 + 0.0528851i \(0.983158\pi\)
\(702\) −16.3084 18.0713i −0.615520 0.682057i
\(703\) 3.88310i 0.146454i
\(704\) 5.19357 0.915766i 0.195740 0.0345142i
\(705\) −7.07494 + 6.83733i −0.266458 + 0.257509i
\(706\) −12.6478 34.7495i −0.476006 1.30782i
\(707\) 28.2430 1.55257i 1.06219 0.0583905i
\(708\) −0.207659 + 1.98291i −0.00780431 + 0.0745224i
\(709\) −1.69734 0.617781i −0.0637450 0.0232013i 0.309951 0.950753i \(-0.399687\pi\)
−0.373696 + 0.927551i \(0.621910\pi\)
\(710\) 11.4522 + 19.8358i 0.429793 + 0.744423i
\(711\) −19.5525 24.9874i −0.733277 0.937100i
\(712\) −8.60180 4.96625i −0.322366 0.186118i
\(713\) 36.8999 30.9627i 1.38191 1.15956i
\(714\) −21.5145 + 6.64670i −0.805161 + 0.248747i
\(715\) 10.9242 61.9542i 0.408542 2.31696i
\(716\) −0.903581 0.159326i −0.0337684 0.00595428i
\(717\) 29.0826 19.6323i 1.08611 0.733183i
\(718\) 13.3608 11.2111i 0.498621 0.418393i
\(719\) 1.87236 3.24302i 0.0698272 0.120944i −0.828998 0.559252i \(-0.811089\pi\)
0.898825 + 0.438307i \(0.144422\pi\)
\(720\) −6.74237 + 3.59148i −0.251273 + 0.133847i
\(721\) 1.84891 6.10330i 0.0688572 0.227299i
\(722\) −0.0779817 + 0.214253i −0.00290218 + 0.00797367i
\(723\) −1.27133 2.85258i −0.0472814 0.106089i
\(724\) −5.08092 + 6.05521i −0.188831 + 0.225040i
\(725\) −3.25787 8.95091i −0.120994 0.332428i
\(726\) 28.2512 7.05509i 1.04850 0.261839i
\(727\) −23.0697 + 4.06780i −0.855607 + 0.150867i −0.584211 0.811602i \(-0.698596\pi\)
−0.271395 + 0.962468i \(0.587485\pi\)
\(728\) −9.04302 + 8.47608i −0.335157 + 0.314145i
\(729\) −2.76173 + 26.8584i −0.102286 + 0.994755i
\(730\) −22.1538 −0.819948
\(731\) 3.49197 + 19.8039i 0.129155 + 0.732475i
\(732\) 10.1143 2.52580i 0.373833 0.0933563i
\(733\) 14.2849 + 39.2474i 0.527624 + 1.44964i 0.861860 + 0.507146i \(0.169300\pi\)
−0.334236 + 0.942490i \(0.608478\pi\)
\(734\) 12.2057 + 10.2418i 0.450520 + 0.378031i
\(735\) −10.7185 28.9534i −0.395359 1.06796i
\(736\) −7.70512 2.80443i −0.284014 0.103373i
\(737\) −33.1563 + 19.1428i −1.22133 + 0.705134i
\(738\) −7.45818 14.0014i −0.274539 0.515399i
\(739\) 12.1995 21.1302i 0.448766 0.777286i −0.549540 0.835467i \(-0.685197\pi\)
0.998306 + 0.0581818i \(0.0185303\pi\)
\(740\) 1.74827 1.46697i 0.0642675 0.0539268i
\(741\) −19.6696 29.1377i −0.722579 1.07040i
\(742\) −13.6310 20.8728i −0.500409 0.766266i
\(743\) 5.60455 + 0.988234i 0.205611 + 0.0362548i 0.275505 0.961300i \(-0.411155\pi\)
−0.0698939 + 0.997554i \(0.522266\pi\)
\(744\) 4.45703 9.14699i 0.163403 0.335345i
\(745\) 34.5460 + 41.1703i 1.26567 + 1.50836i
\(746\) 19.7922 + 11.4270i 0.724644 + 0.418374i
\(747\) −23.3064 29.7846i −0.852735 1.08976i
\(748\) 22.4420 12.9569i 0.820562 0.473752i
\(749\) −8.98958 21.0285i −0.328472 0.768364i
\(750\) −15.4219 1.61505i −0.563130 0.0589734i
\(751\) −31.5031 26.4342i −1.14956 0.964599i −0.149854 0.988708i \(-0.547881\pi\)
−0.999709 + 0.0241096i \(0.992325\pi\)
\(752\) −2.09624 + 0.762970i −0.0764421 + 0.0278227i
\(753\) 6.26745 6.05695i 0.228398 0.220728i
\(754\) 29.6073 5.22056i 1.07823 0.190122i
\(755\) 55.9798 2.03731
\(756\) 13.6997 + 1.14773i 0.498255 + 0.0417426i
\(757\) −49.1050 −1.78475 −0.892376 0.451292i \(-0.850963\pi\)
−0.892376 + 0.451292i \(0.850963\pi\)
\(758\) −4.41232 + 0.778011i −0.160263 + 0.0282586i
\(759\) −72.0040 20.6175i −2.61358 0.748369i
\(760\) −10.3674 + 3.77344i −0.376066 + 0.136877i
\(761\) −7.94534 6.66693i −0.288018 0.241676i 0.487318 0.873225i \(-0.337975\pi\)
−0.775336 + 0.631548i \(0.782420\pi\)
\(762\) −19.1868 + 26.4292i −0.695063 + 0.957428i
\(763\) −24.5007 + 10.4739i −0.886985 + 0.379182i
\(764\) 12.2618 7.07936i 0.443617 0.256122i
\(765\) −25.0967 + 27.9149i −0.907374 + 1.00926i
\(766\) 6.05027 + 3.49313i 0.218605 + 0.126212i
\(767\) 3.46620 + 4.13086i 0.125157 + 0.149157i
\(768\) −1.72779 + 0.121471i −0.0623461 + 0.00438320i
\(769\) −18.7911