Properties

Label 378.2.z.a.41.15
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 41.15
Character \(\chi\) \(=\) 378.41
Dual form 378.2.z.a.83.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.984808 - 0.173648i) q^{2} +(-1.41919 + 0.992922i) q^{3} +(0.939693 - 0.342020i) q^{4} +(3.28093 + 2.75302i) q^{5} +(-1.22521 + 1.22428i) q^{6} +(-2.27542 - 1.34999i) q^{7} +(0.866025 - 0.500000i) q^{8} +(1.02821 - 2.81829i) q^{9} +O(q^{10})\) \(q+(0.984808 - 0.173648i) q^{2} +(-1.41919 + 0.992922i) q^{3} +(0.939693 - 0.342020i) q^{4} +(3.28093 + 2.75302i) q^{5} +(-1.22521 + 1.22428i) q^{6} +(-2.27542 - 1.34999i) q^{7} +(0.866025 - 0.500000i) q^{8} +(1.02821 - 2.81829i) q^{9} +(3.70914 + 2.14147i) q^{10} +(2.71017 + 3.22986i) q^{11} +(-0.994005 + 1.41843i) q^{12} +(-0.922962 - 0.162743i) q^{13} +(-2.47527 - 0.934353i) q^{14} +(-7.38980 - 0.649364i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-3.26843 + 5.66109i) q^{17} +(0.523198 - 2.95403i) q^{18} +(1.47194 - 0.849827i) q^{19} +(4.02465 + 1.46485i) q^{20} +(4.56969 - 0.343428i) q^{21} +(3.22986 + 2.71017i) q^{22} +(-0.996040 - 2.73660i) q^{23} +(-0.732595 + 1.56949i) q^{24} +(2.31710 + 13.1409i) q^{25} -0.937200 q^{26} +(1.33912 + 5.02063i) q^{27} +(-2.59992 - 0.490331i) q^{28} +(7.02413 - 1.23854i) q^{29} +(-7.39030 + 0.643727i) q^{30} +(-2.84339 - 7.81215i) q^{31} +(0.642788 - 0.766044i) q^{32} +(-7.05325 - 1.89280i) q^{33} +(-2.23574 + 6.14264i) q^{34} +(-3.74895 - 10.6935i) q^{35} +(0.00228814 - 3.00000i) q^{36} +(1.18098 - 2.04551i) q^{37} +(1.30201 - 1.09252i) q^{38} +(1.47145 - 0.685466i) q^{39} +(4.21788 + 0.743726i) q^{40} +(0.947038 - 5.37092i) q^{41} +(4.44063 - 1.13173i) q^{42} +(-3.40689 + 2.85872i) q^{43} +(3.65140 + 2.10814i) q^{44} +(11.1323 - 6.41593i) q^{45} +(-1.45611 - 2.52206i) q^{46} +(-0.161480 - 0.0587738i) q^{47} +(-0.448926 + 1.67286i) q^{48} +(3.35508 + 6.14357i) q^{49} +(4.56379 + 12.5389i) q^{50} +(-0.982491 - 11.2795i) q^{51} +(-0.922962 + 0.162743i) q^{52} -8.21598i q^{53} +(2.19060 + 4.71182i) q^{54} +18.0581i q^{55} +(-2.64556 - 0.0314111i) q^{56} +(-1.24516 + 2.66759i) q^{57} +(6.70235 - 2.43946i) q^{58} +(-6.04598 - 5.07318i) q^{59} +(-7.16624 + 1.91726i) q^{60} +(2.33237 - 6.40812i) q^{61} +(-4.15676 - 7.19972i) q^{62} +(-6.14427 + 5.02474i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-2.58014 - 3.07489i) q^{65} +(-7.27478 - 0.639256i) q^{66} +(0.519116 - 2.94405i) q^{67} +(-1.13511 + 6.43755i) q^{68} +(4.13080 + 2.89477i) q^{69} +(-5.54890 - 9.88003i) q^{70} +(-5.28304 - 3.05016i) q^{71} +(-0.518691 - 2.95482i) q^{72} +(-0.852614 + 0.492257i) q^{73} +(0.807835 - 2.21951i) q^{74} +(-16.3363 - 16.3488i) q^{75} +(1.09252 - 1.30201i) q^{76} +(-1.80652 - 11.0080i) q^{77} +(1.33007 - 0.930567i) q^{78} +(-0.885211 - 5.02028i) q^{79} +4.28295 q^{80} +(-6.88557 - 5.79560i) q^{81} -5.45377i q^{82} +(-0.395445 - 2.24268i) q^{83} +(4.17664 - 1.88564i) q^{84} +(-26.3086 + 9.57554i) q^{85} +(-2.85872 + 3.40689i) q^{86} +(-8.73882 + 8.73215i) q^{87} +(3.96201 + 1.44205i) q^{88} +(-1.22954 - 2.12963i) q^{89} +(9.84908 - 8.25156i) q^{90} +(1.88043 + 1.61629i) q^{91} +(-1.87194 - 2.23090i) q^{92} +(11.7922 + 8.26367i) q^{93} +(-0.169232 - 0.0298402i) q^{94} +(7.16894 + 1.26408i) q^{95} +(-0.151616 + 1.72540i) q^{96} +(-1.53146 - 1.82512i) q^{97} +(4.37093 + 5.46763i) q^{98} +(11.8893 - 4.31709i) 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
\(3\) −1.41919 + 0.992922i −0.819371 + 0.573264i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) 3.28093 + 2.75302i 1.46727 + 1.23119i 0.918621 + 0.395140i \(0.129304\pi\)
0.548654 + 0.836049i \(0.315140\pi\)
\(6\) −1.22521 + 1.22428i −0.500191 + 0.499809i
\(7\) −2.27542 1.34999i −0.860028 0.510246i
\(8\) 0.866025 0.500000i 0.306186 0.176777i
\(9\) 1.02821 2.81829i 0.342737 0.939431i
\(10\) 3.70914 + 2.14147i 1.17293 + 0.677193i
\(11\) 2.71017 + 3.22986i 0.817147 + 0.973838i 0.999957 0.00930997i \(-0.00296350\pi\)
−0.182809 + 0.983148i \(0.558519\pi\)
\(12\) −0.994005 + 1.41843i −0.286944 + 0.409467i
\(13\) −0.922962 0.162743i −0.255984 0.0451368i 0.0441835 0.999023i \(-0.485931\pi\)
−0.300167 + 0.953887i \(0.597042\pi\)
\(14\) −2.47527 0.934353i −0.661545 0.249716i
\(15\) −7.38980 0.649364i −1.90804 0.167665i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −3.26843 + 5.66109i −0.792711 + 1.37302i 0.131572 + 0.991307i \(0.457998\pi\)
−0.924283 + 0.381709i \(0.875336\pi\)
\(18\) 0.523198 2.95403i 0.123319 0.696270i
\(19\) 1.47194 0.849827i 0.337687 0.194964i −0.321562 0.946889i \(-0.604208\pi\)
0.659249 + 0.751925i \(0.270874\pi\)
\(20\) 4.02465 + 1.46485i 0.899940 + 0.327551i
\(21\) 4.56969 0.343428i 0.997188 0.0749422i
\(22\) 3.22986 + 2.71017i 0.688608 + 0.577811i
\(23\) −0.996040 2.73660i −0.207689 0.570620i 0.791488 0.611185i \(-0.209307\pi\)
−0.999177 + 0.0405642i \(0.987084\pi\)
\(24\) −0.732595 + 1.56949i −0.149540 + 0.320371i
\(25\) 2.31710 + 13.1409i 0.463419 + 2.62818i
\(26\) −0.937200 −0.183800
\(27\) 1.33912 + 5.02063i 0.257714 + 0.966221i
\(28\) −2.59992 0.490331i −0.491338 0.0926639i
\(29\) 7.02413 1.23854i 1.30435 0.229992i 0.522061 0.852908i \(-0.325163\pi\)
0.782288 + 0.622916i \(0.214052\pi\)
\(30\) −7.39030 + 0.643727i −1.34928 + 0.117528i
\(31\) −2.84339 7.81215i −0.510688 1.40310i −0.880522 0.474006i \(-0.842808\pi\)
0.369834 0.929098i \(-0.379415\pi\)
\(32\) 0.642788 0.766044i 0.113630 0.135419i
\(33\) −7.05325 1.89280i −1.22781 0.329493i
\(34\) −2.23574 + 6.14264i −0.383426 + 1.05345i
\(35\) −3.74895 10.6935i −0.633688 1.80753i
\(36\) 0.00228814 3.00000i 0.000381357 0.500000i
\(37\) 1.18098 2.04551i 0.194151 0.336280i −0.752471 0.658626i \(-0.771138\pi\)
0.946622 + 0.322346i \(0.104471\pi\)
\(38\) 1.30201 1.09252i 0.211214 0.177230i
\(39\) 1.47145 0.685466i 0.235621 0.109762i
\(40\) 4.21788 + 0.743726i 0.666905 + 0.117593i
\(41\) 0.947038 5.37092i 0.147902 0.838796i −0.817088 0.576513i \(-0.804413\pi\)
0.964991 0.262284i \(-0.0844757\pi\)
\(42\) 4.44063 1.13173i 0.685204 0.174630i
\(43\) −3.40689 + 2.85872i −0.519546 + 0.435950i −0.864473 0.502679i \(-0.832348\pi\)
0.344928 + 0.938629i \(0.387903\pi\)
\(44\) 3.65140 + 2.10814i 0.550470 + 0.317814i
\(45\) 11.1323 6.41593i 1.65951 0.956430i
\(46\) −1.45611 2.52206i −0.214692 0.371858i
\(47\) −0.161480 0.0587738i −0.0235542 0.00857303i 0.330216 0.943905i \(-0.392878\pi\)
−0.353770 + 0.935332i \(0.615101\pi\)
\(48\) −0.448926 + 1.67286i −0.0647968 + 0.241457i
\(49\) 3.35508 + 6.14357i 0.479297 + 0.877653i
\(50\) 4.56379 + 12.5389i 0.645417 + 1.77327i
\(51\) −0.982491 11.2795i −0.137576 1.57944i
\(52\) −0.922962 + 0.162743i −0.127992 + 0.0225684i
\(53\) 8.21598i 1.12855i −0.825587 0.564276i \(-0.809156\pi\)
0.825587 0.564276i \(-0.190844\pi\)
\(54\) 2.19060 + 4.71182i 0.298103 + 0.641198i
\(55\) 18.0581i 2.43495i
\(56\) −2.64556 0.0314111i −0.353528 0.00419749i
\(57\) −1.24516 + 2.66759i −0.164925 + 0.353332i
\(58\) 6.70235 2.43946i 0.880062 0.320316i
\(59\) −6.04598 5.07318i −0.787119 0.660472i 0.157911 0.987453i \(-0.449524\pi\)
−0.945031 + 0.326982i \(0.893968\pi\)
\(60\) −7.16624 + 1.91726i −0.925157 + 0.247517i
\(61\) 2.33237 6.40812i 0.298629 0.820476i −0.696101 0.717944i \(-0.745083\pi\)
0.994730 0.102532i \(-0.0326944\pi\)
\(62\) −4.15676 7.19972i −0.527909 0.914365i
\(63\) −6.14427 + 5.02474i −0.774105 + 0.633057i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) −2.58014 3.07489i −0.320026 0.381393i
\(66\) −7.27478 0.639256i −0.895463 0.0786870i
\(67\) 0.519116 2.94405i 0.0634201 0.359673i −0.936538 0.350565i \(-0.885990\pi\)
0.999959 0.00910841i \(-0.00289934\pi\)
\(68\) −1.13511 + 6.43755i −0.137653 + 0.780668i
\(69\) 4.13080 + 2.89477i 0.497290 + 0.348489i
\(70\) −5.54890 9.88003i −0.663220 1.18089i
\(71\) −5.28304 3.05016i −0.626981 0.361988i 0.152601 0.988288i \(-0.451235\pi\)
−0.779582 + 0.626300i \(0.784568\pi\)
\(72\) −0.518691 2.95482i −0.0611283 0.348229i
\(73\) −0.852614 + 0.492257i −0.0997909 + 0.0576143i −0.549065 0.835780i \(-0.685016\pi\)
0.449274 + 0.893394i \(0.351683\pi\)
\(74\) 0.807835 2.21951i 0.0939089 0.258012i
\(75\) −16.3363 16.3488i −1.88635 1.88779i
\(76\) 1.09252 1.30201i 0.125320 0.149351i
\(77\) −1.80652 11.0080i −0.205872 1.25448i
\(78\) 1.33007 0.930567i 0.150600 0.105366i
\(79\) −0.885211 5.02028i −0.0995940 0.564826i −0.993242 0.116058i \(-0.962974\pi\)
0.893648 0.448768i \(-0.148137\pi\)
\(80\) 4.28295 0.478848
\(81\) −6.88557 5.79560i −0.765063 0.643955i
\(82\) 5.45377i 0.602268i
\(83\) −0.395445 2.24268i −0.0434057 0.246166i 0.955383 0.295370i \(-0.0954428\pi\)
−0.998789 + 0.0492035i \(0.984332\pi\)
\(84\) 4.17664 1.88564i 0.455709 0.205740i
\(85\) −26.3086 + 9.57554i −2.85357 + 1.03861i
\(86\) −2.85872 + 3.40689i −0.308264 + 0.367374i
\(87\) −8.73882 + 8.73215i −0.936899 + 0.936185i
\(88\) 3.96201 + 1.44205i 0.422351 + 0.153723i
\(89\) −1.22954 2.12963i −0.130331 0.225740i 0.793473 0.608605i \(-0.208271\pi\)
−0.923804 + 0.382865i \(0.874937\pi\)
\(90\) 9.84908 8.25156i 1.03818 0.869791i
\(91\) 1.88043 + 1.61629i 0.197122 + 0.169434i
\(92\) −1.87194 2.23090i −0.195164 0.232587i
\(93\) 11.7922 + 8.26367i 1.22279 + 0.856903i
\(94\) −0.169232 0.0298402i −0.0174550 0.00307778i
\(95\) 7.16894 + 1.26408i 0.735517 + 0.129692i
\(96\) −0.151616 + 1.72540i −0.0154743 + 0.176098i
\(97\) −1.53146 1.82512i −0.155496 0.185313i 0.682672 0.730725i \(-0.260818\pi\)
−0.838168 + 0.545412i \(0.816373\pi\)
\(98\) 4.37093 + 5.46763i 0.441530 + 0.552314i
\(99\) 11.8893 4.31709i 1.19492 0.433884i
\(100\) 6.67181 + 11.5559i 0.667181 + 1.15559i
\(101\) 8.69270 + 3.16388i 0.864956 + 0.314818i 0.736123 0.676848i \(-0.236655\pi\)
0.128833 + 0.991666i \(0.458877\pi\)
\(102\) −2.92622 10.9375i −0.289739 1.08297i
\(103\) 6.93337 8.26287i 0.683166 0.814165i −0.307345 0.951598i \(-0.599441\pi\)
0.990511 + 0.137433i \(0.0438852\pi\)
\(104\) −0.880680 + 0.320541i −0.0863578 + 0.0314317i
\(105\) 15.9383 + 11.4537i 1.55542 + 1.11777i
\(106\) −1.42669 8.09116i −0.138572 0.785883i
\(107\) 10.3992i 1.00533i 0.864482 + 0.502663i \(0.167646\pi\)
−0.864482 + 0.502663i \(0.832354\pi\)
\(108\) 2.97552 + 4.25985i 0.286319 + 0.409904i
\(109\) −7.17365 −0.687111 −0.343555 0.939132i \(-0.611631\pi\)
−0.343555 + 0.939132i \(0.611631\pi\)
\(110\) 3.13575 + 17.7837i 0.298982 + 1.69561i
\(111\) 0.355001 + 4.07559i 0.0336953 + 0.386838i
\(112\) −2.61083 + 0.428464i −0.246700 + 0.0404860i
\(113\) 8.56975 10.2130i 0.806174 0.960761i −0.193620 0.981077i \(-0.562023\pi\)
0.999794 + 0.0203160i \(0.00646723\pi\)
\(114\) −0.763019 + 2.84329i −0.0714633 + 0.266298i
\(115\) 4.26599 11.7207i 0.397805 1.09296i
\(116\) 6.17692 3.56625i 0.573513 0.331118i
\(117\) −1.40766 + 2.43385i −0.130138 + 0.225009i
\(118\) −6.83507 3.94623i −0.629220 0.363280i
\(119\) 15.0794 8.46902i 1.38233 0.776354i
\(120\) −6.72444 + 3.13254i −0.613854 + 0.285960i
\(121\) −1.17681 + 6.67405i −0.106983 + 0.606731i
\(122\) 1.18417 6.71578i 0.107210 0.608018i
\(123\) 3.98888 + 8.56270i 0.359665 + 0.772072i
\(124\) −5.34383 6.36852i −0.479890 0.571910i
\(125\) −17.8676 + 30.9476i −1.59813 + 2.76804i
\(126\) −5.17839 + 6.01534i −0.461327 + 0.535889i
\(127\) 9.01001 + 15.6058i 0.799509 + 1.38479i 0.919936 + 0.392069i \(0.128240\pi\)
−0.120427 + 0.992722i \(0.538426\pi\)
\(128\) 0.342020 0.939693i 0.0302306 0.0830579i
\(129\) 1.99654 7.43984i 0.175786 0.655042i
\(130\) −3.07489 2.58014i −0.269685 0.226293i
\(131\) 3.97168 1.44557i 0.347007 0.126300i −0.162636 0.986686i \(-0.552000\pi\)
0.509643 + 0.860386i \(0.329777\pi\)
\(132\) −7.27526 + 0.633707i −0.633230 + 0.0551571i
\(133\) −4.49655 0.0533880i −0.389900 0.00462933i
\(134\) 2.98947i 0.258251i
\(135\) −9.42837 + 20.1590i −0.811465 + 1.73501i
\(136\) 6.53686i 0.560531i
\(137\) −16.0321 + 2.82690i −1.36972 + 0.241518i −0.809643 0.586923i \(-0.800339\pi\)
−0.560076 + 0.828441i \(0.689228\pi\)
\(138\) 4.57072 + 2.13348i 0.389085 + 0.181614i
\(139\) 3.13354 + 8.60932i 0.265783 + 0.730233i 0.998751 + 0.0499695i \(0.0159124\pi\)
−0.732968 + 0.680263i \(0.761865\pi\)
\(140\) −7.18025 8.76638i −0.606842 0.740894i
\(141\) 0.287528 0.0769255i 0.0242142 0.00647829i
\(142\) −5.73243 2.08643i −0.481055 0.175090i
\(143\) −1.97575 3.42210i −0.165220 0.286170i
\(144\) −1.02391 2.81986i −0.0853258 0.234988i
\(145\) 26.4554 + 15.2740i 2.19700 + 1.26844i
\(146\) −0.754181 + 0.632833i −0.0624165 + 0.0523737i
\(147\) −10.8616 5.38757i −0.895849 0.444359i
\(148\) 0.410148 2.32607i 0.0337140 0.191202i
\(149\) 4.12041 + 0.726540i 0.337557 + 0.0595205i 0.339858 0.940477i \(-0.389621\pi\)
−0.00230036 + 0.999997i \(0.500732\pi\)
\(150\) −18.9270 13.2636i −1.54539 1.08297i
\(151\) −4.88547 + 4.09940i −0.397574 + 0.333604i −0.819555 0.573000i \(-0.805779\pi\)
0.421981 + 0.906605i \(0.361335\pi\)
\(152\) 0.849827 1.47194i 0.0689301 0.119390i
\(153\) 12.5940 + 15.0322i 1.01816 + 1.21528i
\(154\) −3.69059 10.5270i −0.297396 0.848293i
\(155\) 12.1781 33.4590i 0.978167 2.68749i
\(156\) 1.14827 1.14739i 0.0919351 0.0918650i
\(157\) −0.0375671 + 0.0447707i −0.00299818 + 0.00357309i −0.767541 0.640999i \(-0.778520\pi\)
0.764543 + 0.644572i \(0.222965\pi\)
\(158\) −1.74353 4.79030i −0.138707 0.381095i
\(159\) 8.15783 + 11.6600i 0.646958 + 0.924702i
\(160\) 4.21788 0.743726i 0.333453 0.0587967i
\(161\) −1.42796 + 7.57155i −0.112539 + 0.596722i
\(162\) −7.78736 4.51188i −0.611832 0.354487i
\(163\) 9.00382 0.705234 0.352617 0.935768i \(-0.385292\pi\)
0.352617 + 0.935768i \(0.385292\pi\)
\(164\) −0.947038 5.37092i −0.0739512 0.419398i
\(165\) −17.9303 25.6279i −1.39587 1.99513i
\(166\) −0.778875 2.13994i −0.0604524 0.166092i
\(167\) 4.82090 + 4.04521i 0.373052 + 0.313028i 0.809968 0.586475i \(-0.199485\pi\)
−0.436915 + 0.899503i \(0.643929\pi\)
\(168\) 3.78575 2.58226i 0.292077 0.199226i
\(169\) −11.3906 4.14585i −0.876202 0.318912i
\(170\) −24.2461 + 13.9985i −1.85959 + 1.07364i
\(171\) −0.881596 5.02217i −0.0674173 0.384055i
\(172\) −2.22369 + 3.85154i −0.169555 + 0.293677i
\(173\) 6.80187 5.70744i 0.517136 0.433929i −0.346496 0.938052i \(-0.612628\pi\)
0.863632 + 0.504123i \(0.168184\pi\)
\(174\) −7.08973 + 10.1170i −0.537471 + 0.766966i
\(175\) 12.4677 33.0291i 0.942466 2.49677i
\(176\) 4.15222 + 0.732149i 0.312986 + 0.0551878i
\(177\) 13.6177 + 1.19663i 1.02357 + 0.0899439i
\(178\) −1.58067 1.88376i −0.118476 0.141194i
\(179\) 22.4768 + 12.9770i 1.67999 + 0.969945i 0.961659 + 0.274247i \(0.0884284\pi\)
0.718334 + 0.695698i \(0.244905\pi\)
\(180\) 8.26658 9.83648i 0.616154 0.733168i
\(181\) −14.6761 + 8.47327i −1.09087 + 0.629813i −0.933808 0.357775i \(-0.883535\pi\)
−0.157061 + 0.987589i \(0.550202\pi\)
\(182\) 2.13253 + 1.26521i 0.158073 + 0.0937834i
\(183\) 3.05269 + 11.4102i 0.225662 + 0.843467i
\(184\) −2.23090 1.87194i −0.164464 0.138002i
\(185\) 9.50603 3.45991i 0.698897 0.254378i
\(186\) 13.0480 + 6.09044i 0.956726 + 0.446573i
\(187\) −27.1425 + 4.78596i −1.98486 + 0.349984i
\(188\) −0.171843 −0.0125329
\(189\) 3.73072 13.2318i 0.271370 0.962475i
\(190\) 7.27953 0.528113
\(191\) −15.8829 + 2.80059i −1.14925 + 0.202643i −0.715647 0.698462i \(-0.753868\pi\)
−0.433601 + 0.901105i \(0.642757\pi\)
\(192\) 0.150300 + 1.72552i 0.0108470 + 0.124528i
\(193\) −3.29167 + 1.19807i −0.236940 + 0.0862391i −0.457761 0.889075i \(-0.651348\pi\)
0.220821 + 0.975314i \(0.429126\pi\)
\(194\) −1.82512 1.53146i −0.131036 0.109952i
\(195\) 6.71483 + 1.80198i 0.480859 + 0.129042i
\(196\) 5.25397 + 4.62556i 0.375283 + 0.330397i
\(197\) −10.5666 + 6.10064i −0.752841 + 0.434653i −0.826719 0.562614i \(-0.809796\pi\)
0.0738786 + 0.997267i \(0.476462\pi\)
\(198\) 10.9590 6.31606i 0.778825 0.448863i
\(199\) −4.38581 2.53215i −0.310902 0.179499i 0.336428 0.941709i \(-0.390781\pi\)
−0.647330 + 0.762210i \(0.724114\pi\)
\(200\) 8.57711 + 10.2218i 0.606493 + 0.722791i
\(201\) 2.18649 + 4.69362i 0.154223 + 0.331062i
\(202\) 9.11004 + 1.60635i 0.640980 + 0.113022i
\(203\) −17.6549 6.66427i −1.23913 0.467740i
\(204\) −4.78104 10.2632i −0.334740 0.718568i
\(205\) 17.8934 15.0144i 1.24973 1.04865i
\(206\) 5.39321 9.34131i 0.375763 0.650840i
\(207\) −8.73668 0.00666360i −0.607241 0.000463152i
\(208\) −0.811639 + 0.468600i −0.0562771 + 0.0324916i
\(209\) 6.73404 + 2.45099i 0.465803 + 0.169539i
\(210\) 17.6851 + 8.51204i 1.22038 + 0.587387i
\(211\) 2.94533 + 2.47142i 0.202765 + 0.170140i 0.738516 0.674236i \(-0.235527\pi\)
−0.535751 + 0.844376i \(0.679971\pi\)
\(212\) −2.81003 7.72049i −0.192994 0.530246i
\(213\) 10.5262 0.916880i 0.721245 0.0628236i
\(214\) 1.80580 + 10.2412i 0.123442 + 0.700073i
\(215\) −19.0479 −1.29905
\(216\) 3.67003 + 3.67844i 0.249714 + 0.250286i
\(217\) −4.07638 + 21.6145i −0.276723 + 1.46729i
\(218\) −7.06466 + 1.24569i −0.478479 + 0.0843688i
\(219\) 0.721250 1.54519i 0.0487375 0.104414i
\(220\) 6.17623 + 16.9691i 0.416401 + 1.14405i
\(221\) 3.93794 4.69306i 0.264895 0.315689i
\(222\) 1.05733 + 3.95202i 0.0709631 + 0.265242i
\(223\) 1.13390 3.11537i 0.0759317 0.208621i −0.895919 0.444217i \(-0.853482\pi\)
0.971851 + 0.235596i \(0.0757043\pi\)
\(224\) −2.49676 + 0.875320i −0.166822 + 0.0584848i
\(225\) 39.4174 + 6.98135i 2.62783 + 0.465423i
\(226\) 6.66608 11.5460i 0.443421 0.768028i
\(227\) −20.8175 + 17.4680i −1.38171 + 1.15939i −0.413130 + 0.910672i \(0.635564\pi\)
−0.968576 + 0.248717i \(0.919991\pi\)
\(228\) −0.257695 + 2.93259i −0.0170663 + 0.194215i
\(229\) −18.9625 3.34360i −1.25308 0.220951i −0.492565 0.870276i \(-0.663941\pi\)
−0.760511 + 0.649325i \(0.775052\pi\)
\(230\) 2.16590 12.2834i 0.142815 0.809945i
\(231\) 13.4939 + 13.8287i 0.887831 + 0.909861i
\(232\) 5.46381 4.58468i 0.358716 0.300999i
\(233\) −24.1282 13.9304i −1.58069 0.912612i −0.994759 0.102251i \(-0.967396\pi\)
−0.585931 0.810361i \(-0.699271\pi\)
\(234\) −0.963639 + 2.64131i −0.0629951 + 0.172668i
\(235\) −0.367997 0.637390i −0.0240055 0.0415787i
\(236\) −7.41649 2.69938i −0.482772 0.175715i
\(237\) 6.24103 + 6.24579i 0.405399 + 0.405708i
\(238\) 13.3797 10.9589i 0.867278 0.710358i
\(239\) 5.15973 + 14.1762i 0.333755 + 0.916984i 0.987126 + 0.159946i \(0.0511321\pi\)
−0.653371 + 0.757038i \(0.726646\pi\)
\(240\) −6.07832 + 4.25263i −0.392354 + 0.274506i
\(241\) 3.06738 0.540862i 0.197587 0.0348400i −0.0739785 0.997260i \(-0.523570\pi\)
0.271566 + 0.962420i \(0.412459\pi\)
\(242\) 6.77700i 0.435642i
\(243\) 15.5265 + 1.38823i 0.996027 + 0.0890551i
\(244\) 6.81938i 0.436566i
\(245\) −5.90562 + 29.3932i −0.377296 + 1.87786i
\(246\) 5.41517 + 7.73995i 0.345259 + 0.493481i
\(247\) −1.49685 + 0.544810i −0.0952425 + 0.0346654i
\(248\) −6.36852 5.34383i −0.404402 0.339333i
\(249\) 2.78802 + 2.79015i 0.176684 + 0.176818i
\(250\) −12.2222 + 33.5802i −0.772999 + 2.12380i
\(251\) 9.77652 + 16.9334i 0.617088 + 1.06883i 0.990014 + 0.140967i \(0.0450212\pi\)
−0.372926 + 0.927861i \(0.621645\pi\)
\(252\) −4.05516 + 6.82317i −0.255451 + 0.429819i
\(253\) 6.13938 10.6337i 0.385980 0.668536i
\(254\) 11.5830 + 13.8041i 0.726785 + 0.866149i
\(255\) 27.8292 39.7119i 1.74273 2.48686i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 2.88017 16.3342i 0.179660 1.01890i −0.752966 0.658059i \(-0.771378\pi\)
0.932626 0.360843i \(-0.117511\pi\)
\(258\) 0.674294 7.67351i 0.0419797 0.477732i
\(259\) −5.44862 + 3.06009i −0.338561 + 0.190145i
\(260\) −3.47621 2.00699i −0.215585 0.124468i
\(261\) 3.73170 21.0696i 0.230987 1.30417i
\(262\) 3.66032 2.11329i 0.226135 0.130559i
\(263\) −4.43602 + 12.1879i −0.273537 + 0.751536i 0.724522 + 0.689252i \(0.242061\pi\)
−0.998058 + 0.0622842i \(0.980161\pi\)
\(264\) −7.05469 + 1.88742i −0.434186 + 0.116162i
\(265\) 22.6188 26.9560i 1.38946 1.65589i
\(266\) −4.43751 + 0.728240i −0.272081 + 0.0446513i
\(267\) 3.85951 + 1.80151i 0.236198 + 0.110251i
\(268\) −0.519116 2.94405i −0.0317101 0.179837i
\(269\) −6.74975 −0.411540 −0.205770 0.978600i \(-0.565970\pi\)
−0.205770 + 0.978600i \(0.565970\pi\)
\(270\) −5.78457 + 21.4899i −0.352037 + 1.30783i
\(271\) 3.05291i 0.185451i −0.995692 0.0927254i \(-0.970442\pi\)
0.995692 0.0927254i \(-0.0295579\pi\)
\(272\) 1.13511 + 6.43755i 0.0688264 + 0.390334i
\(273\) −4.27354 0.426714i −0.258646 0.0258259i
\(274\) −15.2977 + 5.56791i −0.924168 + 0.336369i
\(275\) −36.1635 + 43.0980i −2.18074 + 2.59891i
\(276\) 4.87175 + 1.30737i 0.293245 + 0.0786947i
\(277\) 6.03800 + 2.19765i 0.362788 + 0.132044i 0.516982 0.855997i \(-0.327056\pi\)
−0.154193 + 0.988041i \(0.549278\pi\)
\(278\) 4.58092 + 7.93439i 0.274746 + 0.475873i
\(279\) −24.9405 0.0190225i −1.49315 0.00113885i
\(280\) −8.59343 7.38636i −0.513556 0.441420i
\(281\) 8.20909 + 9.78322i 0.489714 + 0.583618i 0.953145 0.302515i \(-0.0978263\pi\)
−0.463431 + 0.886133i \(0.653382\pi\)
\(282\) 0.269802 0.125686i 0.0160665 0.00748446i
\(283\) −12.3371 2.17537i −0.733365 0.129312i −0.205520 0.978653i \(-0.565889\pi\)
−0.527845 + 0.849341i \(0.677000\pi\)
\(284\) −6.00765 1.05931i −0.356488 0.0628585i
\(285\) −11.4292 + 5.32423i −0.677009 + 0.315380i
\(286\) −2.53997 3.02702i −0.150192 0.178992i
\(287\) −9.40557 + 10.9426i −0.555193 + 0.645922i
\(288\) −1.49802 2.59922i −0.0882716 0.153160i
\(289\) −12.8653 22.2833i −0.756781 1.31078i
\(290\) 28.7058 + 10.4481i 1.68566 + 0.613531i
\(291\) 3.98563 + 1.06958i 0.233642 + 0.0626996i
\(292\) −0.632833 + 0.754181i −0.0370338 + 0.0441351i
\(293\) 6.81576 2.48073i 0.398181 0.144926i −0.135165 0.990823i \(-0.543157\pi\)
0.533346 + 0.845897i \(0.320934\pi\)
\(294\) −11.6321 3.41962i −0.678399 0.199437i
\(295\) −5.86983 33.2894i −0.341755 1.93819i
\(296\) 2.36195i 0.137286i
\(297\) −12.5867 + 17.9319i −0.730353 + 1.04052i
\(298\) 4.18398 0.242371
\(299\) 0.473945 + 2.68788i 0.0274090 + 0.155444i
\(300\) −20.9427 9.77547i −1.20913 0.564387i
\(301\) 11.6113 1.90554i 0.669266 0.109833i
\(302\) −4.09940 + 4.88547i −0.235894 + 0.281127i
\(303\) −15.4781 + 4.14102i −0.889194 + 0.237895i
\(304\) 0.581316 1.59715i 0.0333408 0.0916030i
\(305\) 25.2940 14.6035i 1.44833 0.836195i
\(306\) 15.0130 + 12.6169i 0.858234 + 0.721260i
\(307\) −17.2164 9.93987i −0.982589 0.567298i −0.0795384 0.996832i \(-0.525345\pi\)
−0.903051 + 0.429534i \(0.858678\pi\)
\(308\) −5.46252 9.72625i −0.311256 0.554204i
\(309\) −1.63540 + 18.6109i −0.0930344 + 1.05874i
\(310\) 6.18298 35.0654i 0.351169 1.99158i
\(311\) 0.232541 1.31880i 0.0131862 0.0747825i −0.977505 0.210914i \(-0.932356\pi\)
0.990691 + 0.136132i \(0.0434670\pi\)
\(312\) 0.931581 1.32936i 0.0527404 0.0752600i
\(313\) 15.0793 + 17.9708i 0.852333 + 1.01577i 0.999644 + 0.0266804i \(0.00849363\pi\)
−0.147311 + 0.989090i \(0.547062\pi\)
\(314\) −0.0292220 + 0.0506140i −0.00164909 + 0.00285631i
\(315\) −33.9921 0.429523i −1.91524 0.0242009i
\(316\) −2.54886 4.41476i −0.143385 0.248350i
\(317\) 0.895561 2.46053i 0.0502997 0.138197i −0.911999 0.410193i \(-0.865461\pi\)
0.962299 + 0.271996i \(0.0876836\pi\)
\(318\) 10.0586 + 10.0663i 0.564060 + 0.564491i
\(319\) 23.0369 + 19.3303i 1.28982 + 1.08229i
\(320\) 4.02465 1.46485i 0.224985 0.0818878i
\(321\) −10.3256 14.7584i −0.576317 0.823735i
\(322\) −0.0914763 + 7.70449i −0.00509777 + 0.429354i
\(323\) 11.1104i 0.618200i
\(324\) −8.45253 3.09108i −0.469585 0.171727i
\(325\) 12.5056i 0.693688i
\(326\) 8.86704 1.56350i 0.491100 0.0865941i
\(327\) 10.1808 7.12288i 0.562998 0.393896i
\(328\) −1.86530 5.12487i −0.102994 0.282974i
\(329\) 0.288090 + 0.351730i 0.0158829 + 0.0193915i
\(330\) −22.1081 22.1250i −1.21701 1.21794i
\(331\) 9.48568 + 3.45250i 0.521380 + 0.189767i 0.589285 0.807925i \(-0.299409\pi\)
−0.0679054 + 0.997692i \(0.521632\pi\)
\(332\) −1.13864 1.97218i −0.0624909 0.108237i
\(333\) −4.55056 5.43155i −0.249369 0.297647i
\(334\) 5.45010 + 3.14662i 0.298216 + 0.172175i
\(335\) 9.80823 8.23009i 0.535881 0.449658i
\(336\) 3.27983 3.20042i 0.178930 0.174597i
\(337\) 0.261659 1.48394i 0.0142535 0.0808354i −0.976851 0.213920i \(-0.931377\pi\)
0.991105 + 0.133084i \(0.0424881\pi\)
\(338\) −11.9375 2.10490i −0.649314 0.114492i
\(339\) −2.02137 + 23.0033i −0.109786 + 1.24937i
\(340\) −21.4470 + 17.9961i −1.16312 + 0.975977i
\(341\) 17.5261 30.3560i 0.949089 1.64387i
\(342\) −1.74029 4.79279i −0.0941043 0.259164i
\(343\) 0.659509 18.5085i 0.0356102 0.999366i
\(344\) −1.52109 + 4.17917i −0.0820118 + 0.225326i
\(345\) 5.58349 + 20.8697i 0.300605 + 1.12359i
\(346\) 5.70744 6.80187i 0.306834 0.365671i
\(347\) −2.41952 6.64759i −0.129887 0.356861i 0.857653 0.514228i \(-0.171922\pi\)
−0.987540 + 0.157367i \(0.949699\pi\)
\(348\) −5.22523 + 11.1944i −0.280102 + 0.600082i
\(349\) 4.74497 0.836667i 0.253993 0.0447857i −0.0452020 0.998978i \(-0.514393\pi\)
0.299195 + 0.954192i \(0.403282\pi\)
\(350\) 6.54280 34.6923i 0.349727 1.85438i
\(351\) −0.418884 4.85179i −0.0223584 0.258969i
\(352\) 4.21628 0.224728
\(353\) −5.48436 31.1034i −0.291903 1.65547i −0.679529 0.733648i \(-0.737816\pi\)
0.387626 0.921817i \(-0.373295\pi\)
\(354\) 13.6186 1.18624i 0.723820 0.0630479i
\(355\) −8.93608 24.5517i −0.474278 1.30307i
\(356\) −1.88376 1.58067i −0.0998393 0.0837751i
\(357\) −12.9915 + 26.9919i −0.687585 + 1.42856i
\(358\) 24.3887 + 8.87677i 1.28898 + 0.469152i
\(359\) 22.5683 13.0298i 1.19111 0.687686i 0.232550 0.972585i \(-0.425293\pi\)
0.958558 + 0.284898i \(0.0919599\pi\)
\(360\) 6.43290 11.1225i 0.339044 0.586208i
\(361\) −8.05559 + 13.9527i −0.423978 + 0.734352i
\(362\) −12.9818 + 10.8930i −0.682309 + 0.572525i
\(363\) −4.95668 10.6402i −0.260158 0.558468i
\(364\) 2.31983 + 0.875676i 0.121592 + 0.0458979i
\(365\) −4.15256 0.732208i −0.217355 0.0383255i
\(366\) 4.98768 + 10.7068i 0.260710 + 0.559652i
\(367\) −7.50882 8.94866i −0.391957 0.467116i 0.533593 0.845741i \(-0.320841\pi\)
−0.925550 + 0.378625i \(0.876397\pi\)
\(368\) −2.52206 1.45611i −0.131472 0.0759052i
\(369\) −14.1631 8.19146i −0.737300 0.426431i
\(370\) 8.76080 5.05805i 0.455452 0.262956i
\(371\) −11.0914 + 18.6948i −0.575839 + 0.970586i
\(372\) 13.9074 + 3.73215i 0.721063 + 0.193503i
\(373\) 19.6733 + 16.5078i 1.01864 + 0.854742i 0.989456 0.144832i \(-0.0462640\pi\)
0.0291861 + 0.999574i \(0.490708\pi\)
\(374\) −25.8991 + 9.42649i −1.33921 + 0.487432i
\(375\) −5.37102 61.6618i −0.277358 3.18420i
\(376\) −0.169232 + 0.0298402i −0.00872749 + 0.00153889i
\(377\) −6.68458 −0.344273
\(378\) 1.37636 13.6787i 0.0707921 0.703554i
\(379\) −8.63096 −0.443343 −0.221671 0.975121i \(-0.571151\pi\)
−0.221671 + 0.975121i \(0.571151\pi\)
\(380\) 7.16894 1.26408i 0.367759 0.0648458i
\(381\) −28.2823 13.2014i −1.44895 0.676327i
\(382\) −15.1553 + 5.51608i −0.775413 + 0.282227i
\(383\) 23.7246 + 19.9073i 1.21227 + 1.01721i 0.999193 + 0.0401784i \(0.0127926\pi\)
0.213076 + 0.977036i \(0.431652\pi\)
\(384\) 0.447650 + 1.67320i 0.0228440 + 0.0853853i
\(385\) 24.3782 41.0898i 1.24243 2.09413i
\(386\) −3.03362 + 1.75146i −0.154407 + 0.0891471i
\(387\) 4.55371 + 12.5410i 0.231478 + 0.637494i
\(388\) −2.06332 1.19126i −0.104749 0.0604771i
\(389\) 10.0823 + 12.0156i 0.511191 + 0.609213i 0.958474 0.285179i \(-0.0920530\pi\)
−0.447284 + 0.894392i \(0.647609\pi\)
\(390\) 6.92573 + 0.608584i 0.350698 + 0.0308169i
\(391\) 18.7476 + 3.30571i 0.948108 + 0.167177i
\(392\) 5.97737 + 3.64295i 0.301903 + 0.183997i
\(393\) −4.20123 + 5.99511i −0.211924 + 0.302413i
\(394\) −9.34673 + 7.84284i −0.470881 + 0.395116i
\(395\) 10.9166 18.9082i 0.549276 0.951374i
\(396\) 9.69577 8.12312i 0.487231 0.408202i
\(397\) −29.0034 + 16.7451i −1.45564 + 0.840413i −0.998792 0.0491327i \(-0.984354\pi\)
−0.456846 + 0.889546i \(0.651021\pi\)
\(398\) −4.75888 1.73209i −0.238541 0.0868219i
\(399\) 6.43447 4.38895i 0.322127 0.219723i
\(400\) 10.2218 + 8.57711i 0.511090 + 0.428856i
\(401\) −0.346612 0.952308i −0.0173090 0.0475560i 0.930737 0.365689i \(-0.119166\pi\)
−0.948046 + 0.318133i \(0.896944\pi\)
\(402\) 2.96831 + 4.24263i 0.148046 + 0.211603i
\(403\) 1.35297 + 7.67306i 0.0673961 + 0.382223i
\(404\) 9.25058 0.460234
\(405\) −6.63562 37.9711i −0.329726 1.88680i
\(406\) −18.5439 3.49729i −0.920318 0.173567i
\(407\) 9.80735 1.72930i 0.486132 0.0857182i
\(408\) −6.49060 9.27706i −0.321332 0.459283i
\(409\) 1.04409 + 2.86860i 0.0516267 + 0.141843i 0.962826 0.270123i \(-0.0870644\pi\)
−0.911199 + 0.411966i \(0.864842\pi\)
\(410\) 15.0144 17.8934i 0.741507 0.883693i
\(411\) 19.9458 19.9306i 0.983854 0.983103i
\(412\) 3.68917 10.1359i 0.181752 0.499361i
\(413\) 6.90843 + 19.7056i 0.339942 + 0.969649i
\(414\) −8.60511 + 1.51055i −0.422918 + 0.0742393i
\(415\) 4.87673 8.44674i 0.239389 0.414634i
\(416\) −0.717937 + 0.602421i −0.0351998 + 0.0295361i
\(417\) −12.9955 9.10692i −0.636391 0.445968i
\(418\) 7.05735 + 1.24440i 0.345186 + 0.0608656i
\(419\) 0.989706 5.61290i 0.0483503 0.274208i −0.951042 0.309061i \(-0.899985\pi\)
0.999392 + 0.0348530i \(0.0110963\pi\)
\(420\) 18.8945 + 5.31175i 0.921956 + 0.259187i
\(421\) −21.7564 + 18.2558i −1.06034 + 0.889735i −0.994143 0.108072i \(-0.965532\pi\)
−0.0662013 + 0.997806i \(0.521088\pi\)
\(422\) 3.32974 + 1.92243i 0.162089 + 0.0935822i
\(423\) −0.331677 + 0.394665i −0.0161267 + 0.0191893i
\(424\) −4.10799 7.11524i −0.199502 0.345547i
\(425\) −81.9650 29.8328i −3.97589 1.44711i
\(426\) 10.2071 2.73081i 0.494535 0.132308i
\(427\) −13.9580 + 11.4325i −0.675474 + 0.553258i
\(428\) 3.55673 + 9.77203i 0.171921 + 0.472349i
\(429\) 6.20184 + 2.89485i 0.299428 + 0.139765i
\(430\) −18.7585 + 3.30763i −0.904615 + 0.159508i
\(431\) 18.2402i 0.878597i 0.898341 + 0.439299i \(0.144773\pi\)
−0.898341 + 0.439299i \(0.855227\pi\)
\(432\) 4.25303 + 2.98526i 0.204624 + 0.143628i
\(433\) 2.65984i 0.127824i −0.997956 0.0639119i \(-0.979642\pi\)
0.997956 0.0639119i \(-0.0203576\pi\)
\(434\) −0.261137 + 21.9940i −0.0125350 + 1.05574i
\(435\) −52.7112 + 4.59138i −2.52731 + 0.220140i
\(436\) −6.74102 + 2.45353i −0.322836 + 0.117503i
\(437\) −3.79175 3.18166i −0.181384 0.152199i
\(438\) 0.441974 1.64696i 0.0211183 0.0786946i
\(439\) −6.16869 + 16.9483i −0.294416 + 0.808900i 0.700992 + 0.713169i \(0.252741\pi\)
−0.995407 + 0.0957306i \(0.969481\pi\)
\(440\) 9.02904 + 15.6388i 0.430443 + 0.745549i
\(441\) 20.7641 3.13872i 0.988767 0.149463i
\(442\) 3.06317 5.30557i 0.145700 0.252360i
\(443\) −14.1761 16.8944i −0.673526 0.802678i 0.315733 0.948848i \(-0.397750\pi\)
−0.989259 + 0.146171i \(0.953305\pi\)
\(444\) 1.72752 + 3.70838i 0.0819847 + 0.175992i
\(445\) 1.82888 10.3721i 0.0866973 0.491685i
\(446\) 0.575697 3.26494i 0.0272600 0.154599i
\(447\) −6.56905 + 3.06015i −0.310705 + 0.144740i
\(448\) −2.30683 + 1.29558i −0.108988 + 0.0612104i
\(449\) −26.7178 15.4255i −1.26089 0.727975i −0.287643 0.957738i \(-0.592872\pi\)
−0.973247 + 0.229763i \(0.926205\pi\)
\(450\) 40.0308 + 0.0305321i 1.88707 + 0.00143930i
\(451\) 19.9139 11.4973i 0.937710 0.541387i
\(452\) 4.55987 12.5281i 0.214478 0.589274i
\(453\) 2.86304 10.6687i 0.134517 0.501261i
\(454\) −17.4680 + 20.8175i −0.819812 + 0.977014i
\(455\) 1.71984 + 10.4798i 0.0806275 + 0.491301i
\(456\) 0.255458 + 2.93278i 0.0119629 + 0.137340i
\(457\) 0.828717 + 4.69989i 0.0387658 + 0.219852i 0.998036 0.0626373i \(-0.0199511\pi\)
−0.959271 + 0.282489i \(0.908840\pi\)
\(458\) −19.2550 −0.899727
\(459\) −32.7991 8.82871i −1.53093 0.412089i
\(460\) 12.4729i 0.581552i
\(461\) −5.02400 28.4925i −0.233991 1.32703i −0.844728 0.535195i \(-0.820238\pi\)
0.610738 0.791833i \(-0.290873\pi\)
\(462\) 15.6902 + 11.2754i 0.729974 + 0.524580i
\(463\) 8.54385 3.10971i 0.397066 0.144520i −0.135767 0.990741i \(-0.543350\pi\)
0.532833 + 0.846221i \(0.321127\pi\)
\(464\) 4.58468 5.46381i 0.212838 0.253651i
\(465\) 15.9392 + 59.5767i 0.739161 + 2.76280i
\(466\) −26.1806 9.52896i −1.21279 0.441421i
\(467\) −2.99174 5.18185i −0.138441 0.239787i 0.788465 0.615079i \(-0.210876\pi\)
−0.926907 + 0.375292i \(0.877543\pi\)
\(468\) −0.490341 + 2.76851i −0.0226660 + 0.127975i
\(469\) −5.15564 + 5.99816i −0.238065 + 0.276969i
\(470\) −0.473088 0.563804i −0.0218219 0.0260063i
\(471\) 0.00886105 0.100839i 0.000408296 0.00464643i
\(472\) −7.77256 1.37051i −0.357761 0.0630829i
\(473\) −18.4665 3.25614i −0.849091 0.149718i
\(474\) 7.23079 + 5.06716i 0.332121 + 0.232743i
\(475\) 14.5781 + 17.3735i 0.668891 + 0.797153i
\(476\) 11.2735 13.1158i 0.516718 0.601159i
\(477\) −23.1550 8.44775i −1.06020 0.386796i
\(478\) 7.54302 + 13.0649i 0.345010 + 0.597574i
\(479\) 29.6142 + 10.7787i 1.35311 + 0.492491i 0.913917 0.405902i \(-0.133043\pi\)
0.439192 + 0.898393i \(0.355265\pi\)
\(480\) −5.24752 + 5.24351i −0.239515 + 0.239333i
\(481\) −1.42289 + 1.69573i −0.0648781 + 0.0773187i
\(482\) 2.92686 1.06529i 0.133315 0.0485226i
\(483\) −5.49142 12.1633i −0.249868 0.553451i
\(484\) 1.17681 + 6.67405i 0.0534916 + 0.303366i
\(485\) 10.2042i 0.463349i
\(486\) 15.5317 1.32901i 0.704532 0.0602851i
\(487\) −6.21420 −0.281592 −0.140796 0.990039i \(-0.544966\pi\)
−0.140796 + 0.990039i \(0.544966\pi\)
\(488\) −1.18417 6.71578i −0.0536050 0.304009i
\(489\) −12.7782 + 8.94010i −0.577848 + 0.404285i
\(490\) −0.711827 + 29.9722i −0.0321570 + 1.35400i
\(491\) 9.93046 11.8347i 0.448156 0.534091i −0.493913 0.869511i \(-0.664434\pi\)
0.942069 + 0.335420i \(0.108878\pi\)
\(492\) 6.67693 + 6.68203i 0.301019 + 0.301249i
\(493\) −15.9464 + 43.8123i −0.718189 + 1.97321i
\(494\) −1.37951 + 0.796459i −0.0620669 + 0.0358344i
\(495\) 50.8930 + 18.5675i 2.28747 + 0.834548i
\(496\) −7.19972 4.15676i −0.323277 0.186644i
\(497\) 7.90346 + 14.0724i 0.354519 + 0.631235i
\(498\) 3.23017 + 2.26362i 0.144747 + 0.101435i
\(499\) 5.22149 29.6125i 0.233746 1.32564i −0.611493 0.791250i \(-0.709431\pi\)
0.845239 0.534389i \(-0.179458\pi\)
\(500\) −6.20536 + 35.1924i −0.277512 + 1.57385i
\(501\) −10.8584 0.954156i −0.485116 0.0426285i
\(502\) 12.5684 + 14.9785i 0.560957 + 0.668523i
\(503\) 2.00906 3.47979i 0.0895795 0.155156i −0.817754 0.575568i \(-0.804781\pi\)
0.907333 + 0.420412i \(0.138114\pi\)
\(504\) −2.80872 + 7.42368i −0.125110 + 0.330677i
\(505\) 19.8099 + 34.3117i 0.881527 + 1.52685i
\(506\) 4.19958 11.5383i 0.186694 0.512938i
\(507\) 20.2820 5.42626i 0.900755 0.240988i
\(508\) 13.8041 + 11.5830i 0.612460 + 0.513915i
\(509\) 18.7699 6.83170i 0.831962 0.302810i 0.109298 0.994009i \(-0.465140\pi\)
0.722664 + 0.691199i \(0.242917\pi\)
\(510\) 20.5105 43.9411i 0.908219 1.94574i
\(511\) 2.60460 + 0.0309247i 0.115221 + 0.00136803i
\(512\) 1.00000i 0.0441942i
\(513\) 6.23778 + 6.25207i 0.275405 + 0.276036i
\(514\) 16.5862i 0.731587i
\(515\) 45.4958 8.02213i 2.00478 0.353497i
\(516\) −0.668441 7.67402i −0.0294265 0.337830i
\(517\) −0.247807 0.680843i −0.0108985 0.0299434i
\(518\) −4.83447 + 3.95975i −0.212414 + 0.173981i
\(519\) −3.98610 + 14.8537i −0.174971 + 0.652004i
\(520\) −3.77191 1.37286i −0.165409 0.0602040i
\(521\) 16.5672 + 28.6953i 0.725823 + 1.25716i 0.958634 + 0.284640i \(0.0918741\pi\)
−0.232812 + 0.972522i \(0.574793\pi\)
\(522\) 0.0163202 21.3975i 0.000714315 0.936542i
\(523\) −10.6704 6.16053i −0.466582 0.269381i 0.248226 0.968702i \(-0.420152\pi\)
−0.714808 + 0.699321i \(0.753486\pi\)
\(524\) 3.23774 2.71679i 0.141441 0.118683i
\(525\) 15.1014 + 59.2541i 0.659077 + 2.58606i
\(526\) −2.25223 + 12.7730i −0.0982018 + 0.556930i
\(527\) 53.5187 + 9.43679i 2.33131 + 0.411073i
\(528\) −6.61977 + 3.08378i −0.288088 + 0.134204i
\(529\) 11.1221 9.33259i 0.483572 0.405765i
\(530\) 17.5943 30.4742i 0.764247 1.32371i
\(531\) −20.5142 + 11.8231i −0.890242 + 0.513077i
\(532\) −4.24363 + 1.48774i −0.183985 + 0.0645018i
\(533\) −1.74816 + 4.80303i −0.0757212 + 0.208042i
\(534\) 4.11370 + 1.10394i 0.178017 + 0.0477723i
\(535\) −28.6292 + 34.1189i −1.23775 + 1.47509i
\(536\) −1.02246 2.80918i −0.0441635 0.121338i
\(537\) −44.7840 + 3.90088i −1.93257 + 0.168336i
\(538\) −6.64721 + 1.17208i −0.286581 + 0.0505320i
\(539\) −10.7500 + 27.4866i −0.463036 + 1.18393i
\(540\) −1.96500 + 22.1679i −0.0845601 + 0.953955i
\(541\) 0.560016 0.0240770 0.0120385 0.999928i \(-0.496168\pi\)
0.0120385 + 0.999928i \(0.496168\pi\)
\(542\) −0.530132 3.00653i −0.0227711 0.129141i
\(543\) 12.4150 26.5975i 0.532777 1.14141i
\(544\) 2.23574 + 6.14264i 0.0958565 + 0.263363i
\(545\) −23.5362 19.7492i −1.00818 0.845964i
\(546\) −4.28271 + 0.321861i −0.183283 + 0.0137744i
\(547\) −20.1773 7.34395i −0.862721 0.314005i −0.127505 0.991838i \(-0.540697\pi\)
−0.735216 + 0.677833i \(0.762919\pi\)
\(548\) −14.0984 + 8.13973i −0.602255 + 0.347712i
\(549\) −15.6618 13.1622i −0.668430 0.561749i
\(550\) −28.1302 + 48.7229i −1.19948 + 2.07755i
\(551\) 9.28659 7.79237i 0.395622 0.331966i
\(552\) 5.02476 + 0.441541i 0.213868 + 0.0187932i
\(553\) −4.76308 + 12.6183i −0.202547 + 0.536584i
\(554\) 6.32789 + 1.11578i 0.268846 + 0.0474049i
\(555\) −10.0555 + 14.3490i −0.426830 + 0.609082i
\(556\) 5.88912 + 7.01838i 0.249754 + 0.297646i
\(557\) 17.8318 + 10.2952i 0.755559 + 0.436222i 0.827699 0.561172i \(-0.189649\pi\)
−0.0721397 + 0.997395i \(0.522983\pi\)
\(558\) −24.5649 + 4.31215i −1.03992 + 0.182548i
\(559\) 3.60967 2.08404i 0.152673 0.0881456i
\(560\) −9.74550 5.78191i −0.411823 0.244330i
\(561\) 33.7683 33.7426i 1.42570 1.42461i
\(562\) 9.78322 + 8.20909i 0.412680 + 0.346280i
\(563\) −19.4745 + 7.08813i −0.820752 + 0.298729i −0.718057 0.695984i \(-0.754968\pi\)
−0.102694 + 0.994713i \(0.532746\pi\)
\(564\) 0.243878 0.170627i 0.0102691 0.00718468i
\(565\) 56.2334 9.91547i 2.36576 0.417147i
\(566\) −12.5274 −0.526567
\(567\) 7.84359 + 22.4828i 0.329400 + 0.944191i
\(568\) −6.10033 −0.255964
\(569\) −30.0743 + 5.30292i −1.26078 + 0.222310i −0.763801 0.645452i \(-0.776669\pi\)
−0.496981 + 0.867762i \(0.665558\pi\)
\(570\) −10.3310 + 7.22801i −0.432720 + 0.302748i
\(571\) −28.8754 + 10.5098i −1.20840 + 0.439820i −0.866147 0.499789i \(-0.833411\pi\)
−0.342249 + 0.939609i \(0.611189\pi\)
\(572\) −3.02702 2.53997i −0.126566 0.106202i
\(573\) 19.7602 19.7451i 0.825492 0.824863i
\(574\) −7.36251 + 12.4096i −0.307305 + 0.517968i
\(575\) 33.6534 19.4298i 1.40345 0.810280i
\(576\) −1.92661 2.29960i −0.0802754 0.0958168i
\(577\) 38.1505 + 22.0262i 1.58823 + 0.916963i 0.993599 + 0.112962i \(0.0360339\pi\)
0.594628 + 0.804001i \(0.297299\pi\)
\(578\) −16.5393 19.7107i −0.687943 0.819859i
\(579\) 3.48192 4.96867i 0.144704 0.206491i
\(580\) 30.0840 + 5.30462i 1.24917 + 0.220262i
\(581\) −2.12778 + 5.63689i −0.0882753 + 0.233858i
\(582\) 4.11081 + 0.361229i 0.170398 + 0.0149734i
\(583\) 26.5364 22.2667i 1.09903 0.922193i
\(584\) −0.492257 + 0.852614i −0.0203697 + 0.0352814i
\(585\) −11.3189 + 4.10995i −0.467977 + 0.169926i
\(586\) 6.28144 3.62659i 0.259484 0.149813i
\(587\) 11.4367 + 4.16262i 0.472044 + 0.171810i 0.567078 0.823664i \(-0.308074\pi\)
−0.0950342 + 0.995474i \(0.530296\pi\)
\(588\) −12.0492 1.34778i −0.496901 0.0555814i
\(589\) −10.8243 9.08266i −0.446007 0.374245i
\(590\) −11.5613 31.7644i −0.475971 1.30772i
\(591\) 8.93860 19.1498i 0.367685 0.787718i
\(592\) −0.410148 2.32607i −0.0168570 0.0956008i
\(593\) 29.6667 1.21826 0.609132 0.793069i \(-0.291518\pi\)
0.609132 + 0.793069i \(0.291518\pi\)
\(594\) −9.28161 + 19.8452i −0.380829 + 0.814257i
\(595\) 72.7900 + 13.7278i 2.98410 + 0.562786i
\(596\) 4.12041 0.726540i 0.168779 0.0297602i
\(597\) 8.73853 0.761165i 0.357644 0.0311524i
\(598\) 0.933490 + 2.56474i 0.0381732 + 0.104880i
\(599\) 21.8012 25.9816i 0.890772 1.06158i −0.106960 0.994263i \(-0.534112\pi\)
0.997732 0.0673173i \(-0.0214440\pi\)
\(600\) −22.3220 5.99029i −0.911293 0.244553i
\(601\) 1.40098 3.84917i 0.0571472 0.157011i −0.907834 0.419330i \(-0.862265\pi\)
0.964981 + 0.262319i \(0.0844873\pi\)
\(602\) 11.1040 3.89288i 0.452567 0.158662i
\(603\) −7.76345 4.49013i −0.316152 0.182852i
\(604\) −3.18877 + 5.52311i −0.129749 + 0.224732i
\(605\) −22.2349 + 18.6573i −0.903975 + 0.758525i
\(606\) −14.5239 + 6.76585i −0.589992 + 0.274844i
\(607\) −40.2011 7.08854i −1.63171 0.287715i −0.718600 0.695423i \(-0.755217\pi\)
−0.913112 + 0.407708i \(0.866328\pi\)
\(608\) 0.295142 1.67383i 0.0119696 0.0678829i
\(609\) 31.6728 8.07205i 1.28344 0.327096i
\(610\) 22.3739 18.7739i 0.905892 0.760134i
\(611\) 0.139475 + 0.0805257i 0.00564254 + 0.00325772i
\(612\) 16.9758 + 9.81824i 0.686205 + 0.396879i
\(613\) 7.18869 + 12.4512i 0.290348 + 0.502898i 0.973892 0.227012i \(-0.0728955\pi\)
−0.683544 + 0.729910i \(0.739562\pi\)
\(614\) −18.6808 6.79927i −0.753897 0.274396i
\(615\) −10.4861 + 39.0751i −0.422840 + 1.57566i
\(616\) −7.06848 8.62992i −0.284797 0.347710i
\(617\) −11.9082 32.7175i −0.479406 1.31716i −0.909999 0.414611i \(-0.863918\pi\)
0.430593 0.902546i \(-0.358305\pi\)
\(618\) 1.62120 + 18.6121i 0.0652142 + 0.748690i
\(619\) 10.4750 1.84703i 0.421027 0.0742384i 0.0408789 0.999164i \(-0.486984\pi\)
0.380148 + 0.924926i \(0.375873\pi\)
\(620\) 35.6063i 1.42999i
\(621\) 12.4056 8.66539i 0.497821 0.347730i
\(622\) 1.33915i 0.0536949i
\(623\) −0.0772424 + 6.50566i −0.00309465 + 0.260644i
\(624\) 0.686588 1.47093i 0.0274855 0.0588843i
\(625\) −81.1275 + 29.5280i −3.24510 + 1.18112i
\(626\) 17.9708 + 15.0793i 0.718258 + 0.602690i
\(627\) −11.9905 + 3.20796i −0.478856 + 0.128113i
\(628\) −0.0199890 + 0.0549194i −0.000797649 + 0.00219152i
\(629\) 7.71987 + 13.3712i 0.307811 + 0.533145i
\(630\) −33.5503 + 5.47967i −1.33668 + 0.218315i
\(631\) −9.26818 + 16.0530i −0.368960 + 0.639058i −0.989403 0.145194i \(-0.953620\pi\)
0.620443 + 0.784252i \(0.286953\pi\)
\(632\) −3.27676 3.90509i −0.130342 0.155336i
\(633\) −6.63391 0.582942i −0.263674 0.0231698i
\(634\) 0.454688 2.57866i 0.0180580 0.102412i
\(635\) −13.4020 + 76.0063i −0.531840 + 3.01622i
\(636\) 11.6538 + 8.16672i 0.462104 + 0.323831i
\(637\) −2.09679 6.21630i −0.0830778 0.246299i
\(638\) 26.0436 + 15.0363i 1.03108 + 0.595292i
\(639\) −14.0283 + 11.7529i −0.554952 + 0.464939i
\(640\) 3.70914 2.14147i 0.146617 0.0846491i
\(641\) 8.39421 23.0629i 0.331551 0.910930i −0.656157 0.754624i \(-0.727819\pi\)
0.987709 0.156306i \(-0.0499585\pi\)
\(642\) −12.7315 12.7412i −0.502471 0.502855i
\(643\) 9.57118 11.4065i 0.377450 0.449828i −0.543557 0.839372i \(-0.682923\pi\)
0.921008 + 0.389544i \(0.127367\pi\)
\(644\) 1.24778 + 7.60332i 0.0491696 + 0.299613i
\(645\) 27.0326 18.9131i 1.06441 0.744701i
\(646\) 1.92930 + 10.9416i 0.0759074 + 0.430492i
\(647\) 33.0416 1.29900 0.649500 0.760361i \(-0.274978\pi\)
0.649500 + 0.760361i \(0.274978\pi\)
\(648\) −8.86088 1.57635i −0.348088 0.0619250i
\(649\) 33.2768i 1.30623i
\(650\) −2.17158 12.3157i −0.0851765 0.483060i
\(651\) −15.6763 34.7226i −0.614404 1.36089i
\(652\) 8.46083 3.07949i 0.331352 0.120602i
\(653\) 30.6634 36.5433i 1.19995 1.43005i 0.325087 0.945684i \(-0.394606\pi\)
0.874866 0.484365i \(-0.160949\pi\)
\(654\) 8.78924 8.78254i 0.343686 0.343424i
\(655\) 17.0105 + 6.19131i 0.664654 + 0.241914i
\(656\) −2.72689 4.72311i −0.106467 0.184406i
\(657\) 0.510658 + 2.90906i 0.0199227 + 0.113493i
\(658\) 0.344791 + 0.296360i 0.0134413 + 0.0115533i
\(659\) −13.0065 15.5005i −0.506660 0.603814i 0.450713 0.892669i \(-0.351170\pi\)
−0.957373 + 0.288855i \(0.906725\pi\)
\(660\) −25.6142 17.9498i −0.997032 0.698696i
\(661\) 24.5339 + 4.32600i 0.954260 + 0.168262i 0.629037 0.777376i \(-0.283450\pi\)
0.325223 + 0.945637i \(0.394561\pi\)
\(662\) 9.94109 + 1.75288i 0.386371 + 0.0681277i
\(663\) −0.928854 + 10.5704i −0.0360737 + 0.410521i
\(664\) −1.46381 1.74450i −0.0568067 0.0676996i
\(665\) −14.6059 12.5543i −0.566391 0.486834i
\(666\) −5.42460 4.55884i −0.210199 0.176651i
\(667\) −10.3857 17.9886i −0.402137 0.696521i
\(668\) 5.91370 + 2.15241i 0.228808 + 0.0832793i
\(669\) 1.48410 + 5.54718i 0.0573785 + 0.214466i
\(670\) 8.23009 9.80823i 0.317956 0.378925i
\(671\) 27.0184 9.83390i 1.04303 0.379634i
\(672\) 2.67426 3.72134i 0.103162 0.143554i
\(673\) 8.26627 + 46.8804i 0.318641 + 1.80711i 0.551033 + 0.834483i \(0.314234\pi\)
−0.232392 + 0.972622i \(0.574655\pi\)
\(674\) 1.50683i 0.0580410i
\(675\) −62.8728 + 29.2305i −2.41997 + 1.12508i
\(676\) −12.1217 −0.466218
\(677\) 3.98108 + 22.5778i 0.153005 + 0.867736i 0.960587 + 0.277980i \(0.0896650\pi\)
−0.807581 + 0.589756i \(0.799224\pi\)
\(678\) 2.00383 + 23.0049i 0.0769565 + 0.883497i
\(679\) 1.02082 + 6.22035i 0.0391756 + 0.238715i
\(680\) −17.9961 + 21.4470i −0.690120 + 0.822453i
\(681\) 12.1997 45.4605i 0.467493 1.74205i
\(682\) 11.9885 32.9382i 0.459064 1.26127i
\(683\) −32.2456 + 18.6170i −1.23384 + 0.712359i −0.967829 0.251610i \(-0.919040\pi\)
−0.266014 + 0.963969i \(0.585707\pi\)
\(684\) −2.54611 4.41778i −0.0973531 0.168918i
\(685\) −60.3828 34.8620i −2.30711 1.33201i
\(686\) −2.56448 18.3418i −0.0979123 0.700295i
\(687\) 30.2313 14.0831i 1.15340 0.537303i
\(688\) −0.772279 + 4.37981i −0.0294429 + 0.166979i
\(689\) −1.33709 + 7.58304i −0.0509392 + 0.288891i
\(690\) 9.12266 + 19.5831i 0.347294 + 0.745516i
\(691\) −9.24229 11.0145i −0.351593 0.419013i 0.561042 0.827787i \(-0.310401\pi\)
−0.912635 + 0.408775i \(0.865956\pi\)
\(692\) 4.43960 7.68962i 0.168768 0.292315i
\(693\) −32.8812 6.22720i −1.24905 0.236552i
\(694\) −3.53711 6.12645i −0.134267 0.232557i
\(695\) −13.4208 + 36.8732i −0.509079 + 1.39868i
\(696\) −3.20196 + 11.9317i −0.121370 + 0.452269i
\(697\) 27.3099 + 22.9157i 1.03444 + 0.867995i
\(698\) 4.52760 1.64791i 0.171372 0.0623744i
\(699\) 48.0743 4.18749i 1.81834 0.158385i
\(700\) 0.419138 35.3014i 0.0158419 1.33427i
\(701\) 9.05570i 0.342029i 0.985269 + 0.171015i \(0.0547045\pi\)
−0.985269 + 0.171015i \(0.945295\pi\)
\(702\) −1.25502 4.70534i −0.0473678 0.177592i
\(703\) 4.01450i 0.151410i
\(704\) 4.15222 0.732149i 0.156493 0.0275939i
\(705\) 1.15514 + 0.539185i 0.0435050 + 0.0203069i
\(706\) −10.8021 29.6785i −0.406542 1.11696i
\(707\) −15.5084 18.9342i −0.583252 0.712093i
\(708\) 13.2057 3.53306i 0.496301 0.132780i
\(709\) −17.6092 6.40922i −0.661327 0.240703i −0.0105181 0.999945i \(-0.503348\pi\)
−0.650809 + 0.759241i \(0.725570\pi\)
\(710\) −13.0637 22.6270i −0.490271 0.849175i
\(711\) −15.0588 2.66712i −0.564750 0.100025i
\(712\) −2.12963 1.22954i −0.0798111 0.0460790i
\(713\) −18.5466 + 15.5624i −0.694575 + 0.582818i
\(714\) −8.10707 + 28.8378i −0.303399 + 1.07923i
\(715\) 2.93883 16.6669i 0.109906 0.623308i
\(716\) 25.5597 + 4.50686i 0.955209 + 0.168429i
\(717\) −21.3985 14.9956i −0.799143 0.560020i
\(718\) 19.9628 16.7508i 0.745005 0.625133i
\(719\) −7.42325 + 12.8574i −0.276840 + 0.479502i −0.970598 0.240707i \(-0.922621\pi\)
0.693757 + 0.720209i \(0.255954\pi\)
\(720\) 4.40377 12.0706i 0.164119 0.449845i
\(721\) −26.9311 + 9.44156i −1.00297 + 0.351622i
\(722\) −5.51035 + 15.1396i −0.205074 + 0.563436i
\(723\) −3.81617 + 3.81326i −0.141925 + 0.141817i
\(724\) −10.8930 + 12.9818i −0.404836 + 0.482465i
\(725\) 32.5512 + 89.4336i 1.20892 + 3.32148i
\(726\) −6.72904 9.61787i −0.249738 0.356953i
\(727\) 31.7970 5.60667i 1.17929 0.207940i 0.450560 0.892746i \(-0.351224\pi\)
0.728725 + 0.684806i \(0.240113\pi\)
\(728\) 2.43664 + 0.459539i 0.0903081 + 0.0170316i
\(729\) −23.4135 + 13.4465i −0.867167 + 0.498017i
\(730\) −4.21662 −0.156064
\(731\) −5.04828 28.6302i −0.186717 1.05893i
\(732\) 6.77112 + 9.67801i 0.250268 + 0.357710i
\(733\) −12.9816 35.6667i −0.479486 1.31738i −0.909931 0.414761i \(-0.863865\pi\)
0.430444 0.902617i \(-0.358357\pi\)
\(734\) −8.94866 7.50882i −0.330301 0.277156i
\(735\) −20.8040 47.5784i −0.767366 1.75496i
\(736\) −2.73660 0.996040i −0.100872 0.0367145i
\(737\) 10.9158 6.30222i 0.402087 0.232145i
\(738\) −15.3703 5.60763i −0.565790 0.206420i
\(739\) −0.127925 + 0.221572i −0.00470579 + 0.00815067i −0.868369 0.495919i \(-0.834831\pi\)
0.863663 + 0.504070i \(0.168165\pi\)
\(740\) 7.74939 6.50251i 0.284873 0.239037i
\(741\) 1.58337 2.25945i 0.0581664 0.0830029i
\(742\) −7.67662 + 20.3368i −0.281818 + 0.746587i
\(743\) −9.20379 1.62288i −0.337654 0.0595376i 0.00225037 0.999997i \(-0.499284\pi\)
−0.339905 + 0.940460i \(0.610395\pi\)
\(744\) 14.3442 + 1.26046i 0.525882 + 0.0462108i
\(745\) 11.5186 + 13.7273i 0.422008 + 0.502930i
\(746\) 22.2409 + 12.8408i 0.814298 + 0.470135i
\(747\) −6.72714 1.19147i −0.246133 0.0435935i
\(748\) −23.8687 + 13.7806i −0.872727 + 0.503869i
\(749\) 14.0387 23.6625i 0.512964 0.864609i
\(750\) −15.9969 59.7924i −0.584123 2.18331i
\(751\) 10.0962 + 8.47175i 0.368417 + 0.309139i 0.808135 0.588997i \(-0.200477\pi\)
−0.439718 + 0.898136i \(0.644922\pi\)
\(752\) −0.161480 + 0.0587738i −0.00588855 + 0.00214326i
\(753\) −30.6883 14.3245i −1.11834 0.522012i
\(754\) −6.58302 + 1.16076i −0.239740 + 0.0422725i
\(755\) −27.3146 −0.994081
\(756\) −1.01983 13.7098i −0.0370908 0.498622i
\(757\) −27.5811 −1.00245 −0.501226 0.865316i \(-0.667118\pi\)
−0.501226 + 0.865316i \(0.667118\pi\)
\(758\) −8.49984 + 1.49875i −0.308728 + 0.0544371i
\(759\) 1.84550 + 21.1872i 0.0669874 + 0.769047i
\(760\) 6.84052 2.48975i 0.248132 0.0903126i
\(761\) 33.2251 + 27.8792i 1.20441 + 1.01062i 0.999493 + 0.0318404i \(0.0101368\pi\)
0.204917 + 0.978779i \(0.434308\pi\)
\(762\) −30.1450 8.08965i −1.09204 0.293057i
\(763\) 16.3231 + 9.68432i 0.590935 + 0.350596i
\(764\) −13.9672 + 8.06397i −0.505316 + 0.291744i
\(765\) −0.0640612 + 83.9910i −0.00231614 + 3.03670i
\(766\) 26.8210 + 15.4851i 0.969082 + 0.559500i
\(767\) 4.75458 + 5.66629i 0.171678 + 0.204598i
\(768\) 0.731398 + 1.57005i 0.0263920 + 0.0566543i
\(769\)