Properties

Label 378.2.z.a.41.20
Level $378$
Weight $2$
Character 378.41
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
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 41.20
Character \(\chi\) \(=\) 378.41
Dual form 378.2.z.a.83.20

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.984808 - 0.173648i) q^{2} +(0.419652 + 1.68044i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.95067 - 1.63681i) q^{5} +(0.705083 + 1.58204i) q^{6} +(1.19511 + 2.36045i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-2.64778 + 1.41040i) q^{9} +O(q^{10})\) \(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} +(1.19511 + 2.36045i) 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} +(1.58685 + 2.11706i) 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} +(-3.46506 + 2.99889i) 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} +(1.53232 - 6.56063i) 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} +(-2.89167 + 3.55503i) 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} +(-4.14340 + 5.64200i) 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} +(2.21522 + 1.44665i) 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} +(-6.49359 - 4.56435i) 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} +(0.369799 - 6.72704i) 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} +(-5.48464 + 12.8297i) 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} +(-2.23041 + 4.00316i) 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} +(3.59344 + 11.8620i) 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} +(-3.10073 + 6.27578i) 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 0.0922283 0.995738i \(-0.470601\pi\)
−0.964595 + 0.263735i \(0.915045\pi\)
\(6\) 0.705083 + 1.58204i 0.287849 + 0.645866i
\(7\) 1.19511 + 2.36045i 0.451711 + 0.892164i
\(8\) 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 0.771786 0.635882i \(-0.219364\pi\)
0.507757 + 0.861500i \(0.330475\pi\)
\(14\) 1.58685 + 2.11706i 0.424102 + 0.565807i
\(15\) 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 \(0.369866\pi\)
−0.993421 + 0.114518i \(0.963468\pi\)
\(18\) −2.36264 + 1.84876i −0.556880 + 0.435757i
\(19\) 3.75220 2.16633i 0.860813 0.496991i −0.00347113 0.999994i \(-0.501105\pi\)
0.864285 + 0.503003i \(0.167772\pi\)
\(20\) −2.39285 0.870927i −0.535058 0.194745i
\(21\) −3.46506 + 2.99889i −0.756139 + 0.654411i
\(22\) 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 \(-0.934220\pi\)
0.617855 0.786292i \(-0.288002\pi\)
\(32\) 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
\(35\) 1.53232 6.56063i 0.259009 1.10895i
\(36\) −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 \(-0.808953\pi\)
0.968633 0.248495i \(-0.0799359\pi\)
\(42\) −2.89167 + 3.55503i −0.446194 + 0.548553i
\(43\) −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 0.490347 0.871527i \(-0.336870\pi\)
−0.184579 + 0.982818i \(0.559092\pi\)
\(48\) 1.40164 + 1.01755i 0.202309 + 0.146870i
\(49\) −4.14340 + 5.64200i −0.591915 + 0.806001i
\(50\) 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
\(56\) 2.21522 + 1.44665i 0.296022 + 0.193316i
\(57\) 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 0.698380 0.715727i \(-0.253904\pi\)
−0.583581 + 0.812055i \(0.698349\pi\)
\(60\) 0.459378 4.38654i 0.0593054 0.566300i
\(61\) 2.05855 5.65582i 0.263570 0.724153i −0.735350 0.677688i \(-0.762982\pi\)
0.998920 0.0464655i \(-0.0147957\pi\)
\(62\) −2.93730 5.08755i −0.373037 0.646119i
\(63\) −6.49359 4.56435i −0.818115 0.575054i
\(64\) 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
\(70\) 0.369799 6.72704i 0.0441994 0.804035i
\(71\) 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 0.0105711 0.999944i \(-0.496635\pi\)
0.871263 + 0.490817i \(0.163302\pi\)
\(74\) 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
\(77\) −5.48464 + 12.8297i −0.625032 + 1.46208i
\(78\) 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 \(-0.812342\pi\)
0.590910 0.806737i \(-0.298769\pi\)
\(84\) −2.23041 + 4.00316i −0.243358 + 0.436780i
\(85\) 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 \(0.00979998\pi\)
−0.473104 + 0.881006i \(0.656867\pi\)
\(90\) 7.63481 + 0.260870i 0.804779 + 0.0274981i
\(91\) 3.59344 + 11.8620i 0.376695 + 1.24348i
\(92\) −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 0.932641 0.360806i \(-0.117498\pi\)
−0.517276 + 0.855818i \(0.673054\pi\)
\(98\) −3.10073 + 6.27578i −0.313221 + 0.633950i
\(99\) −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 −0.210192 0.977660i \(-0.567409\pi\)
−0.789444 + 0.613823i \(0.789631\pi\)
\(102\) −8.46466 0.886457i −0.838126 0.0877723i
\(103\) −1.54935 + 1.84644i −0.152662 + 0.181935i −0.836955 0.547272i \(-0.815666\pi\)
0.684293 + 0.729207i \(0.260111\pi\)
\(104\) 4.40211 1.60224i 0.431662 0.157112i
\(105\) 11.6678 0.178206i 1.13866 0.0173912i
\(106\) −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
\(112\) 2.43278 + 1.04000i 0.229876 + 0.0982709i
\(113\) −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
\(119\) −12.9811 0.713596i −1.18997 0.0654153i
\(120\) −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
\(126\) −7.18753 3.36741i −0.640316 0.299993i
\(127\) −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 −0.667744 0.744391i \(-0.732740\pi\)
−0.0330369 + 0.999454i \(0.510518\pi\)
\(132\) −2.51445 + 8.78139i −0.218855 + 0.764322i
\(133\) 9.59782 + 6.26784i 0.832236 + 0.543491i
\(134\) 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 0.913735 0.406310i \(-0.133185\pi\)
−0.961133 + 0.276087i \(0.910962\pi\)
\(140\) −0.803958 6.68906i −0.0679468 0.565328i
\(141\) −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
\(147\) −11.2199 4.59507i −0.925399 0.378995i
\(148\) 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
\(154\) −3.17346 + 13.5872i −0.255725 + 1.09489i
\(155\) −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 −0.957177 0.289504i \(-0.906510\pi\)
0.451318 + 0.892363i \(0.350954\pi\)
\(158\) 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 0.512513 0.858680i \(-0.328715\pi\)
−0.756638 + 0.653835i \(0.773159\pi\)
\(168\) −1.50139 + 4.32965i −0.115835 + 0.334039i
\(169\) 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 −0.816694 0.577071i \(-0.804195\pi\)
0.426487 + 0.904494i \(0.359751\pi\)
\(174\) −6.21922 9.21290i −0.471478 0.698428i
\(175\) −3.14226 + 2.35529i −0.237532 + 0.178043i
\(176\) 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 −0.223527 0.974698i \(-0.571757\pi\)
0.732350 + 0.680929i \(0.238424\pi\)
\(182\) 5.59867 + 11.0578i 0.415001 + 0.819659i
\(183\) 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
\(189\) 4.94509 12.8276i 0.359702 0.933067i
\(190\) −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
\(196\) −1.96384 + 6.71888i −0.140275 + 0.479920i
\(197\) 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 0.560577 0.828102i \(-0.310579\pi\)
−0.436869 + 0.899525i \(0.643913\pi\)
\(200\) 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
\(203\) −10.1837 13.5864i −0.714757 0.953577i
\(204\) −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
\(210\) 11.4596 2.20159i 0.790788 0.151924i
\(211\) −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 \(-0.684177\pi\)
0.957076 0.289837i \(-0.0936012\pi\)
\(224\) 2.57641 + 0.601754i 0.172144 + 0.0402064i
\(225\) −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 −0.746083 0.665853i \(-0.768068\pi\)
0.526182 + 0.850372i \(0.323623\pi\)
\(228\) 6.74614 + 3.28718i 0.446774 + 0.217699i
\(229\) 11.5039 + 2.02846i 0.760202 + 0.134044i 0.540294 0.841476i \(-0.318313\pi\)
0.219908 + 0.975521i \(0.429424\pi\)
\(230\) −3.62572 + 20.5625i −0.239073 + 1.35585i
\(231\) −23.8612 3.83261i −1.56995 0.252168i
\(232\) −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
\(238\) −12.9078 + 1.55139i −0.836688 + 0.100562i
\(239\) 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 −0.230547 0.973061i \(-0.574051\pi\)
0.116163 + 0.993230i \(0.462940\pi\)
\(242\) 16.8118i 1.08070i
\(243\) 14.6583 + 5.30404i 0.940333 + 0.340254i
\(244\) 6.01880i 0.385314i
\(245\) 17.3173 4.22375i 1.10636 0.269845i
\(246\) 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 0.775628 0.631191i \(-0.217433\pi\)
−0.934441 + 0.356118i \(0.884100\pi\)
\(252\) −7.66308 2.06815i −0.482728 0.130281i
\(253\) 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 \(0.298084\pi\)
−0.832389 + 0.554192i \(0.813027\pi\)
\(258\) −6.37211 3.10492i −0.396710 0.193304i
\(259\) 2.36765 + 0.130154i 0.147118 + 0.00808739i
\(260\) −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
\(266\) 10.5404 + 4.50598i 0.646274 + 0.276279i
\(267\) −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 \(-0.441834\pi\)
0.181720 + 0.983350i \(0.441834\pi\)
\(270\) 2.76559 + 12.9393i 0.168308 + 0.787463i
\(271\) 28.5645i 1.73517i 0.497287 + 0.867586i \(0.334330\pi\)
−0.497287 + 0.867586i \(0.665670\pi\)
\(272\) 0.853272 + 4.83915i 0.0517372 + 0.293416i
\(273\) −18.4255 + 11.0165i −1.11516 + 0.666749i
\(274\) −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
\(280\) −1.95329 6.44783i −0.116731 0.385331i
\(281\) 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 −0.478193 0.878255i \(-0.658708\pi\)
−0.749735 + 0.661738i \(0.769819\pi\)
\(284\) 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
\(287\) 13.3897 4.05625i 0.790372 0.239433i
\(288\) −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 −0.120845 0.992671i \(-0.538560\pi\)
0.545504 + 0.838108i \(0.316338\pi\)
\(294\) −11.8473 2.57696i −0.690950 0.150291i
\(295\) −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
\(301\) −9.95600 4.25614i −0.573854 0.245320i
\(302\) 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 −0.223737 0.974649i \(-0.571826\pi\)
−0.955940 + 0.293562i \(0.905159\pi\)
\(308\) −0.765860 + 13.9318i −0.0436389 + 0.793839i
\(309\) −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 −0.986501 0.163753i \(-0.947640\pi\)
0.983015 + 0.183525i \(0.0587510\pi\)
\(312\) 4.53983 + 6.72512i 0.257017 + 0.380735i
\(313\) 6.73049 + 8.02108i 0.380430 + 0.453378i 0.921950 0.387309i \(-0.126595\pi\)
−0.541520 + 0.840688i \(0.682151\pi\)
\(314\) −4.93040 + 8.53970i −0.278239 + 0.481923i
\(315\) 5.19589 + 19.5323i 0.292755 + 1.10052i
\(316\) 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
\(322\) 11.8620 18.1640i 0.661041 1.01224i
\(323\) 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
\(329\) 0.704302 + 5.85990i 0.0388294 + 0.323067i
\(330\) 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
\(336\) −0.726743 + 4.52458i −0.0396471 + 0.246836i
\(337\) −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
\(343\) −18.2695 3.03743i −0.986459 0.164006i
\(344\) −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 −0.731875 0.681439i \(-0.761355\pi\)
−0.454672 + 0.890659i \(0.650244\pi\)
\(350\) −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 \(0.387632\pi\)
−0.00394896 + 0.999992i \(0.501257\pi\)
\(354\) −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
\(357\) −4.24839 22.1135i −0.224849 1.17037i
\(358\) −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
\(364\) 7.43378 + 9.91762i 0.389636 + 0.519824i
\(365\) −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 0.429355 0.903136i \(-0.358741\pi\)
−0.963972 + 0.266005i \(0.914296\pi\)
\(368\) −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
\(371\) 22.2412 11.2609i 1.15471 0.584638i
\(372\) 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
\(378\) 2.64248 13.4914i 0.135915 0.693922i
\(379\) −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 0.495734 0.868474i \(-0.334899\pi\)
−0.769197 + 0.639012i \(0.779344\pi\)
\(384\) 1.72263 + 0.180401i 0.0879076 + 0.00920607i
\(385\) 31.6985 16.0492i 1.61550 0.817944i
\(386\) −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
\(392\) −0.767289 + 6.95782i −0.0387539 + 0.351423i
\(393\) −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 −0.560212 0.828349i \(-0.689280\pi\)
0.437266 + 0.899332i \(0.355947\pi\)
\(398\) 1.89356 + 0.689198i 0.0949154 + 0.0345464i
\(399\) −6.50501 + 18.7589i −0.325658 + 0.939120i
\(400\) 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 0.932094 0.362217i \(-0.117980\pi\)
−0.946854 + 0.321664i \(0.895758\pi\)
\(410\) −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
\(413\) −0.692676 + 2.96569i −0.0340844 + 0.145932i
\(414\) 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 \(-0.777643\pi\)
0.939547 0.342419i \(-0.111246\pi\)
\(420\) 10.9032 4.15808i 0.532022 0.202894i
\(421\) 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
\(427\) 15.8105 1.90026i 0.765121 0.0919599i
\(428\) −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 \(-0.810173\pi\)
0.827386 0.561633i \(-0.189827\pi\)
\(434\) 8.49847 13.0135i 0.407939 0.624669i
\(435\) −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 \(0.290937\pi\)
−0.976790 + 0.214200i \(0.931286\pi\)
\(440\) −6.71451 11.6299i −0.320102 0.554432i
\(441\) 3.01332 20.7827i 0.143492 0.989652i
\(442\) −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
\(448\) 2.64176 + 0.145223i 0.124812 + 0.00686114i
\(449\) 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
\(455\) 12.4062 29.0207i 0.581612 1.36051i
\(456\) 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 \(0.296741\pi\)
−0.285465 + 0.958389i \(0.592148\pi\)
\(462\) −24.1642 + 0.369069i −1.12422 + 0.0171706i
\(463\) 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 \(0.0900243\pi\)
−0.238459 + 0.971152i \(0.576642\pi\)
\(468\) −11.0681 + 8.66075i −0.511624 + 0.400344i
\(469\) −18.3825 + 5.56874i −0.848825 + 0.257140i
\(470\) −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
\(476\) −12.4423 + 3.76923i −0.570292 + 0.172763i
\(477\) 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 −0.294923 0.955521i \(-0.595294\pi\)
−0.840121 + 0.542398i \(0.817516\pi\)
\(480\) −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
\(483\) 32.8243 + 18.2885i 1.49356 + 0.832157i
\(484\) 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
\(490\) 16.3208 7.16669i 0.737297 0.323758i
\(491\) 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
\(497\) −1.30624 + 23.7619i −0.0585929 + 1.06587i
\(498\) 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 −0.888198 0.459461i \(-0.848043\pi\)
0.842004 + 0.539471i \(0.181376\pi\)
\(504\) −7.90579 0.706052i −0.352152 0.0314500i
\(505\) 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 −0.851684 0.524056i \(-0.824418\pi\)
−0.315571 + 0.948902i \(0.602196\pi\)
\(510\) 15.0608 + 15.5842i 0.666904 + 0.690080i
\(511\) 19.2724 + 12.5858i 0.852559 + 0.556762i
\(512\) 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
\(518\) 2.35428 0.282961i 0.103441 0.0124326i
\(519\) −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 0.617321 0.786712i \(-0.288218\pi\)
−0.989973 + 0.141260i \(0.954885\pi\)
\(522\) 12.8719 14.3173i 0.563386 0.626650i
\(523\) −22.5596 13.0248i −0.986461 0.569533i −0.0822461 0.996612i \(-0.526209\pi\)
−0.904214 + 0.427079i \(0.859543\pi\)
\(524\) −6.53862 + 5.48656i −0.285641 + 0.239681i
\(525\) −5.27659 4.29199i −0.230289 0.187318i
\(526\) −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
\(532\) 11.1627 + 2.60720i 0.483966 + 0.113036i
\(533\) 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
\(546\) −16.2325 + 14.0487i −0.694688 + 0.601228i
\(547\) −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
\(553\) −22.3900 + 16.7825i −0.952120 + 0.713665i
\(554\) −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
\(560\) −3.04326 6.01069i −0.128601 0.253998i
\(561\) −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 0.0604272 0.998173i \(-0.480754\pi\)
0.687903 + 0.725803i \(0.258531\pi\)
\(564\) 0.936150 + 3.74869i 0.0394190 + 0.157848i
\(565\) 0.492369 0.0868179i 0.0207141 0.00365246i
\(566\) −20.9756 −0.881671
\(567\) 23.6312 + 2.92683i 0.992417 + 0.122915i
\(568\) 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
\(574\) 12.4820 6.31973i 0.520987 0.263780i
\(575\) 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 0.990106 0.140319i \(-0.0448127\pi\)
0.373534 + 0.927617i \(0.378146\pi\)
\(578\) −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
\(581\) 26.6886 20.0045i 1.10723 0.829928i
\(582\) −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 −0.179970 0.983672i \(-0.557600\pi\)
−0.770157 + 0.637854i \(0.779822\pi\)
\(588\) −12.1148 0.480539i −0.499607 0.0198171i
\(589\) −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 \(-0.500849\pi\)
−0.00266765 + 0.999996i \(0.500849\pi\)
\(594\) −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 −0.998535 0.0541131i \(-0.982767\pi\)
0.799705 + 0.600393i \(0.204989\pi\)
\(602\) −10.5438 2.46264i −0.429734 0.100370i
\(603\) −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 0.589834 0.807525i \(-0.299193\pi\)
0.278073 + 0.960560i \(0.410304\pi\)
\(608\) 0.752360 4.26684i 0.0305122 0.173043i
\(609\) 18.5575 22.8147i 0.751989 0.924499i
\(610\) −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
\(616\) 1.66501 + 13.8532i 0.0670852 + 0.558160i
\(617\) 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 0.398549 0.917147i \(-0.369514\pi\)
0.688197 + 0.725524i \(0.258403\pi\)
\(620\) 14.9592i 0.600775i
\(621\) −19.9601 + 37.6418i −0.800971 + 1.51051i
\(622\) 0.354063i 0.0141966i
\(623\) −14.3688 + 22.0027i −0.575675 + 0.881520i
\(624\) 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
\(630\) 8.50870 + 18.3333i 0.338995 + 0.730417i
\(631\) 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
\(637\) −23.7051 + 22.6586i −0.939229 + 0.897766i
\(638\) −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 \(0.506577\pi\)
−0.981010 + 0.193958i \(0.937867\pi\)
\(644\) 8.52761 19.9478i 0.336035 0.786054i
\(645\) 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 \(-0.435523\pi\)
0.201178 + 0.979555i \(0.435523\pi\)
\(648\) 0.614316 8.97901i 0.0241326 0.352729i
\(649\) 6.07051i 0.238289i
\(650\) 1.20741 + 6.84757i 0.0473585 + 0.268584i
\(651\) 23.5169 + 13.1028i 0.921700 + 0.513538i
\(652\) −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
\(658\) 1.71116 + 5.64858i 0.0667081 + 0.220204i
\(659\) 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 0.724971 0.688779i \(-0.241853\pi\)
0.445673 + 0.895196i \(0.352964\pi\)
\(662\) −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
\(665\) −8.46294 27.9363i −0.328179 1.08332i
\(666\) 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
\(672\) 0.0699831 + 4.58204i 0.00269966 + 0.176756i
\(673\) −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 \(-0.878066\pi\)
0.743751 0.668457i \(-0.233045\pi\)
\(678\) −0.326932 0.0936134i −0.0125558 0.00359520i
\(679\) −6.61883 + 15.4828i −0.254007 + 0.594176i
\(680\) 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
\(686\) −18.5194 + 0.181177i −0.707073 + 0.00691739i
\(687\) 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 \(-0.943155\pi\)
−0.00405194 0.999992i \(-0.501290\pi\)
\(692\) −3.34992 + 5.80223i −0.127345 + 0.220568i
\(693\) −3.57292 41.7058i −0.135724 1.58427i
\(694\) 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
\(700\) −2.14720 + 3.28796i −0.0811565 + 0.124273i
\(701\) 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
\(707\) −3.37536 28.0835i −0.126943 1.05619i
\(708\) −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
\(714\) −8.02381 21.0398i −0.300283 0.787394i
\(715\) 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 −0.898825 0.438307i \(-0.855578\pi\)
0.828998 + 0.559252i \(0.188911\pi\)
\(720\) 6.74237 3.59148i 0.251273 0.133847i
\(721\) −6.21007 1.45044i −0.231275 0.0540173i
\(722\) −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 0.271395 0.962468i \(-0.412515\pi\)
0.584211 + 0.811602i \(0.301404\pi\)
\(728\) 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 \(-0.830700\pi\)
0.334236 0.942490i \(-0.391522\pi\)
\(734\) −12.2057 10.2418i −0.450520 0.378031i
\(735\) 14.3650 + 27.3282i 0.529861 + 1.00802i
\(736\) −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
\(742\) 19.9479 14.9520i 0.732309 0.548905i
\(743\) 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
\(749\) 20.4033 10.3304i 0.745519 0.377463i
\(750\) −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
\(756\) 0.259584 13.7453i 0.00944096 0.499911i
\(757\) −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 0.775336 0.631548i \(-0.217580\pi\)
−0.487318 + 0.873225i \(0.662025\pi\)
\(762\) 19.1868 26.4292i 0.695063 0.957428i
\(763\) −12.0361 23.7723i −0.435736 0.860614i
\(764\) 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
\(769\)