Properties

Label 378.2.z.a.83.15
Level $378$
Weight $2$
Character 378.83
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 83.15
Character \(\chi\) \(=\) 378.83
Dual form 378.2.z.a.41.15

$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

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

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 0.548654 0.836049i \(-0.315140\pi\)
0.918621 0.395140i \(-0.129304\pi\)
\(6\) −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 −0.182809 0.983148i \(-0.558519\pi\)
0.999957 + 0.00930997i \(0.00296350\pi\)
\(12\) −0.994005 1.41843i −0.286944 0.409467i
\(13\) −0.922962 + 0.162743i −0.255984 + 0.0451368i −0.300167 0.953887i \(-0.597042\pi\)
0.0441835 + 0.999023i \(0.485931\pi\)
\(14\) −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 −0.924283 0.381709i \(-0.875336\pi\)
0.131572 0.991307i \(-0.457998\pi\)
\(18\) 0.523198 + 2.95403i 0.123319 + 0.696270i
\(19\) 1.47194 + 0.849827i 0.337687 + 0.194964i 0.659249 0.751925i \(-0.270874\pi\)
−0.321562 + 0.946889i \(0.604208\pi\)
\(20\) 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 −0.999177 0.0405642i \(-0.987084\pi\)
0.791488 + 0.611185i \(0.209307\pi\)
\(24\) −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 0.782288 0.622916i \(-0.214052\pi\)
0.522061 + 0.852908i \(0.325163\pi\)
\(30\) −7.39030 0.643727i −1.34928 0.117528i
\(31\) −2.84339 + 7.81215i −0.510688 + 1.40310i 0.369834 + 0.929098i \(0.379415\pi\)
−0.880522 + 0.474006i \(0.842808\pi\)
\(32\) 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 0.946622 0.322346i \(-0.104471\pi\)
−0.752471 + 0.658626i \(0.771138\pi\)
\(38\) 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 0.964991 + 0.262284i \(0.0844757\pi\)
−0.817088 + 0.576513i \(0.804413\pi\)
\(42\) 4.44063 + 1.13173i 0.685204 + 0.174630i
\(43\) −3.40689 2.85872i −0.519546 0.435950i 0.344928 0.938629i \(-0.387903\pi\)
−0.864473 + 0.502679i \(0.832348\pi\)
\(44\) 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 −0.353770 0.935332i \(-0.615101\pi\)
0.330216 + 0.943905i \(0.392878\pi\)
\(48\) −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 \(0.190844\pi\)
−0.825587 + 0.564276i \(0.809156\pi\)
\(54\) 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 −0.945031 0.326982i \(-0.893968\pi\)
0.157911 + 0.987453i \(0.449524\pi\)
\(60\) −7.16624 1.91726i −0.925157 0.247517i
\(61\) 2.33237 + 6.40812i 0.298629 + 0.820476i 0.994730 + 0.102532i \(0.0326944\pi\)
−0.696101 + 0.717944i \(0.745083\pi\)
\(62\) −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 0.999959 + 0.00910841i \(0.00289934\pi\)
−0.936538 + 0.350565i \(0.885990\pi\)
\(68\) −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 −0.779582 0.626300i \(-0.784568\pi\)
0.152601 + 0.988288i \(0.451235\pi\)
\(72\) −0.518691 + 2.95482i −0.0611283 + 0.348229i
\(73\) −0.852614 0.492257i −0.0997909 0.0576143i 0.449274 0.893394i \(-0.351683\pi\)
−0.549065 + 0.835780i \(0.685016\pi\)
\(74\) 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 0.893648 + 0.448768i \(0.148137\pi\)
−0.993242 + 0.116058i \(0.962974\pi\)
\(80\) 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 −0.998789 0.0492035i \(-0.984332\pi\)
0.955383 + 0.295370i \(0.0954428\pi\)
\(84\) 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 −0.923804 0.382865i \(-0.874937\pi\)
0.793473 + 0.608605i \(0.208271\pi\)
\(90\) 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 −0.838168 0.545412i \(-0.816373\pi\)
0.682672 + 0.730725i \(0.260818\pi\)
\(98\) 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 0.128833 0.991666i \(-0.458877\pi\)
0.736123 + 0.676848i \(0.236655\pi\)
\(102\) −2.92622 + 10.9375i −0.289739 + 1.08297i
\(103\) 6.93337 + 8.26287i 0.683166 + 0.814165i 0.990511 0.137433i \(-0.0438852\pi\)
−0.307345 + 0.951598i \(0.599441\pi\)
\(104\) −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 \(-0.832354\pi\)
0.864482 0.502663i \(-0.167646\pi\)
\(108\) 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 0.999794 0.0203160i \(-0.00646723\pi\)
−0.193620 + 0.981077i \(0.562023\pi\)
\(114\) −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 −0.120427 0.992722i \(-0.538426\pi\)
0.919936 0.392069i \(-0.128240\pi\)
\(128\) 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 0.509643 0.860386i \(-0.329777\pi\)
−0.162636 + 0.986686i \(0.552000\pi\)
\(132\) −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 −0.560076 0.828441i \(-0.689228\pi\)
−0.809643 + 0.586923i \(0.800339\pi\)
\(138\) 4.57072 2.13348i 0.389085 0.181614i
\(139\) 3.13354 8.60932i 0.265783 0.730233i −0.732968 0.680263i \(-0.761865\pi\)
0.998751 0.0499695i \(-0.0159124\pi\)
\(140\) −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 −0.00230036 0.999997i \(-0.500732\pi\)
0.339858 + 0.940477i \(0.389621\pi\)
\(150\) −18.9270 + 13.2636i −1.54539 + 1.08297i
\(151\) −4.88547 4.09940i −0.397574 0.333604i 0.421981 0.906605i \(-0.361335\pi\)
−0.819555 + 0.573000i \(0.805779\pi\)
\(152\) 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 0.764543 0.644572i \(-0.222965\pi\)
−0.767541 + 0.640999i \(0.778520\pi\)
\(158\) −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 −0.436915 0.899503i \(-0.643929\pi\)
0.809968 + 0.586475i \(0.199485\pi\)
\(168\) 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 0.863632 0.504123i \(-0.168184\pi\)
−0.346496 + 0.938052i \(0.612628\pi\)
\(174\) −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 0.718334 0.695698i \(-0.244905\pi\)
0.961659 0.274247i \(-0.0884284\pi\)
\(180\) 8.26658 + 9.83648i 0.616154 + 0.733168i
\(181\) −14.6761 8.47327i −1.09087 0.629813i −0.157061 0.987589i \(-0.550202\pi\)
−0.933808 + 0.357775i \(0.883535\pi\)
\(182\) 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 −0.433601 0.901105i \(-0.642757\pi\)
−0.715647 + 0.698462i \(0.753868\pi\)
\(192\) 0.150300 1.72552i 0.0108470 0.124528i
\(193\) −3.29167 1.19807i −0.236940 0.0862391i 0.220821 0.975314i \(-0.429126\pi\)
−0.457761 + 0.889075i \(0.651348\pi\)
\(194\) −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 0.0738786 0.997267i \(-0.476462\pi\)
−0.826719 + 0.562614i \(0.809796\pi\)
\(198\) 10.9590 + 6.31606i 0.778825 + 0.448863i
\(199\) −4.38581 + 2.53215i −0.310902 + 0.179499i −0.647330 0.762210i \(-0.724114\pi\)
0.336428 + 0.941709i \(0.390781\pi\)
\(200\) 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 −0.535751 0.844376i \(-0.679971\pi\)
0.738516 + 0.674236i \(0.235527\pi\)
\(212\) −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 0.971851 0.235596i \(-0.0757043\pi\)
−0.895919 + 0.444217i \(0.853482\pi\)
\(224\) −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 −0.968576 0.248717i \(-0.919991\pi\)
−0.413130 0.910672i \(-0.635564\pi\)
\(228\) −0.257695 2.93259i −0.0170663 0.194215i
\(229\) −18.9625 + 3.34360i −1.25308 + 0.220951i −0.760511 0.649325i \(-0.775052\pi\)
−0.492565 + 0.870276i \(0.663941\pi\)
\(230\) 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 −0.585931 + 0.810361i \(0.699271\pi\)
−0.994759 + 0.102251i \(0.967396\pi\)
\(234\) −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 −0.653371 0.757038i \(-0.726646\pi\)
0.987126 0.159946i \(-0.0511321\pi\)
\(240\) −6.07832 4.25263i −0.392354 0.274506i
\(241\) 3.06738 + 0.540862i 0.197587 + 0.0348400i 0.271566 0.962420i \(-0.412459\pi\)
−0.0739785 + 0.997260i \(0.523570\pi\)
\(242\) 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 −0.372926 0.927861i \(-0.621645\pi\)
0.990014 0.140967i \(-0.0450212\pi\)
\(252\) −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 0.932626 + 0.360843i \(0.117511\pi\)
−0.752966 + 0.658059i \(0.771378\pi\)
\(258\) 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 −0.998058 0.0622842i \(-0.980161\pi\)
0.724522 0.689252i \(-0.242061\pi\)
\(264\) −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 \(0.0295579\pi\)
−0.995692 + 0.0927254i \(0.970442\pi\)
\(272\) 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 −0.154193 0.988041i \(-0.549278\pi\)
0.516982 + 0.855997i \(0.327056\pi\)
\(278\) 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 −0.463431 0.886133i \(-0.653382\pi\)
0.953145 + 0.302515i \(0.0978263\pi\)
\(282\) 0.269802 + 0.125686i 0.0160665 + 0.00748446i
\(283\) −12.3371 + 2.17537i −0.733365 + 0.129312i −0.527845 0.849341i \(-0.677000\pi\)
−0.205520 + 0.978653i \(0.565889\pi\)
\(284\) −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 0.533346 0.845897i \(-0.320934\pi\)
−0.135165 + 0.990823i \(0.543157\pi\)
\(294\) −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 −0.903051 0.429534i \(-0.858678\pi\)
−0.0795384 + 0.996832i \(0.525345\pi\)
\(308\) −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 0.990691 0.136132i \(-0.0434670\pi\)
−0.977505 + 0.210914i \(0.932356\pi\)
\(312\) 0.931581 + 1.32936i 0.0527404 + 0.0752600i
\(313\) 15.0793 17.9708i 0.852333 1.01577i −0.147311 0.989090i \(-0.547062\pi\)
0.999644 0.0266804i \(-0.00849363\pi\)
\(314\) −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 0.962299 0.271996i \(-0.0876836\pi\)
−0.911999 + 0.410193i \(0.865461\pi\)
\(318\) 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 −0.0679054 0.997692i \(-0.521632\pi\)
0.589285 + 0.807925i \(0.299409\pi\)
\(332\) −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 0.991105 0.133084i \(-0.0424881\pi\)
−0.976851 + 0.213920i \(0.931377\pi\)
\(338\) −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 −0.987540 0.157367i \(-0.949699\pi\)
0.857653 + 0.514228i \(0.171922\pi\)
\(348\) −5.22523 11.1944i −0.280102 0.600082i
\(349\) 4.74497 + 0.836667i 0.253993 + 0.0447857i 0.299195 0.954192i \(-0.403282\pi\)
−0.0452020 + 0.998978i \(0.514393\pi\)
\(350\) 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 0.387626 + 0.921817i \(0.373295\pi\)
−0.679529 + 0.733648i \(0.737816\pi\)
\(354\) 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 0.958558 0.284898i \(-0.0919599\pi\)
0.232550 + 0.972585i \(0.425293\pi\)
\(360\) 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 −0.925550 0.378625i \(-0.876397\pi\)
0.533593 + 0.845741i \(0.320841\pi\)
\(368\) −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 0.0291861 0.999574i \(-0.490708\pi\)
0.989456 + 0.144832i \(0.0462640\pi\)
\(374\) −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 0.213076 0.977036i \(-0.431652\pi\)
0.999193 0.0401784i \(-0.0127926\pi\)
\(384\) 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 −0.447284 0.894392i \(-0.647609\pi\)
0.958474 + 0.285179i \(0.0920530\pi\)
\(390\) 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 −0.456846 0.889546i \(-0.651021\pi\)
−0.998792 + 0.0491327i \(0.984354\pi\)
\(398\) −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 −0.948046 0.318133i \(-0.896944\pi\)
0.930737 + 0.365689i \(0.119166\pi\)
\(402\) 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 −0.911199 0.411966i \(-0.864842\pi\)
0.962826 + 0.270123i \(0.0870644\pi\)
\(410\) 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 0.999392 0.0348530i \(-0.0110963\pi\)
−0.951042 + 0.309061i \(0.899985\pi\)
\(420\) 18.8945 5.31175i 0.921956 0.259187i
\(421\) −21.7564 18.2558i −1.06034 0.889735i −0.0662013 0.997806i \(-0.521088\pi\)
−0.994143 + 0.108072i \(0.965532\pi\)
\(422\) 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 \(-0.855227\pi\)
0.898341 0.439299i \(-0.144773\pi\)
\(432\) 4.25303 2.98526i 0.204624 0.143628i
\(433\) 2.65984i 0.127824i 0.997956 + 0.0639119i \(0.0203576\pi\)
−0.997956 + 0.0639119i \(0.979642\pi\)
\(434\) −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 −0.995407 0.0957306i \(-0.969481\pi\)
0.700992 0.713169i \(-0.252741\pi\)
\(440\) 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 −0.989259 0.146171i \(-0.953305\pi\)
0.315733 + 0.948848i \(0.397750\pi\)
\(444\) 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 −0.973247 0.229763i \(-0.926205\pi\)
−0.287643 + 0.957738i \(0.592872\pi\)
\(450\) 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 −0.959271 0.282489i \(-0.908840\pi\)
0.998036 + 0.0626373i \(0.0199511\pi\)
\(458\) −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 0.610738 + 0.791833i \(0.290873\pi\)
−0.844728 + 0.535195i \(0.820238\pi\)
\(462\) 15.6902 11.2754i 0.729974 0.524580i
\(463\) 8.54385 + 3.10971i 0.397066 + 0.144520i 0.532833 0.846221i \(-0.321127\pi\)
−0.135767 + 0.990741i \(0.543350\pi\)
\(464\) 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 −0.926907 0.375292i \(-0.877543\pi\)
0.788465 + 0.615079i \(0.210876\pi\)
\(468\) −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 0.439192 0.898393i \(-0.355265\pi\)
0.913917 + 0.405902i \(0.133043\pi\)
\(480\) −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 0.942069 0.335420i \(-0.108878\pi\)
−0.493913 + 0.869511i \(0.664434\pi\)
\(492\) 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 0.845239 + 0.534389i \(0.179458\pi\)
−0.611493 + 0.791250i \(0.709431\pi\)
\(500\) −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 0.907333 0.420412i \(-0.138114\pi\)
−0.817754 + 0.575568i \(0.804781\pi\)
\(504\) −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 0.722664 0.691199i \(-0.242917\pi\)
0.109298 + 0.994009i \(0.465140\pi\)
\(510\) 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 −0.232812 0.972522i \(-0.574793\pi\)
0.958634 0.284640i \(-0.0918741\pi\)
\(522\) 0.0163202 + 21.3975i 0.000714315 + 0.936542i
\(523\) −10.6704 + 6.16053i −0.466582 + 0.269381i −0.714808 0.699321i \(-0.753486\pi\)
0.248226 + 0.968702i \(0.420152\pi\)
\(524\) 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 −0.735216 0.677833i \(-0.762919\pi\)
−0.127505 + 0.991838i \(0.540697\pi\)
\(548\) −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 −0.0721397 0.997395i \(-0.522983\pi\)
0.827699 + 0.561172i \(0.189649\pi\)
\(558\) −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 −0.102694 0.994713i \(-0.532746\pi\)
−0.718057 + 0.695984i \(0.754968\pi\)
\(564\) 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 −0.496981 0.867762i \(-0.665558\pi\)
−0.763801 + 0.645452i \(0.776669\pi\)
\(570\) −10.3310 7.22801i −0.432720 0.302748i
\(571\) −28.8754 10.5098i −1.20840 0.439820i −0.342249 0.939609i \(-0.611189\pi\)
−0.866147 + 0.499789i \(0.833411\pi\)
\(572\) −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 0.594628 0.804001i \(-0.297299\pi\)
0.993599 0.112962i \(-0.0360339\pi\)
\(578\) −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 −0.0950342 0.995474i \(-0.530296\pi\)
0.567078 + 0.823664i \(0.308074\pi\)
\(588\) −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 0.997732 + 0.0673173i \(0.0214440\pi\)
−0.106960 + 0.994263i \(0.534112\pi\)
\(600\) −22.3220 + 5.99029i −0.911293 + 0.244553i
\(601\) 1.40098 + 3.84917i 0.0571472 + 0.157011i 0.964981 0.262319i \(-0.0844873\pi\)
−0.907834 + 0.419330i \(0.862265\pi\)
\(602\) 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 −0.913112 0.407708i \(-0.866328\pi\)
−0.718600 + 0.695423i \(0.755217\pi\)
\(608\) 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 −0.683544 0.729910i \(-0.739562\pi\)
0.973892 + 0.227012i \(0.0728955\pi\)
\(614\) −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 0.430593 + 0.902546i \(0.358305\pi\)
−0.909999 + 0.414611i \(0.863918\pi\)
\(618\) 1.62120 18.6121i 0.0652142 0.748690i
\(619\) 10.4750 + 1.84703i 0.421027 + 0.0742384i 0.380148 0.924926i \(-0.375873\pi\)
0.0408789 + 0.999164i \(0.486984\pi\)
\(620\) 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 0.620443 0.784252i \(-0.286953\pi\)
−0.989403 + 0.145194i \(0.953620\pi\)
\(632\) −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 0.987709 + 0.156306i \(0.0499585\pi\)
−0.656157 + 0.754624i \(0.727819\pi\)
\(642\) −12.7315 + 12.7412i −0.502471 + 0.502855i
\(643\) 9.57118 + 11.4065i 0.377450 + 0.449828i 0.921008 0.389544i \(-0.127367\pi\)
−0.543557 + 0.839372i \(0.682923\pi\)
\(644\) 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 0.874866 + 0.484365i \(0.160949\pi\)
0.325087 + 0.945684i \(0.394606\pi\)
\(654\) 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 −0.957373 0.288855i \(-0.906725\pi\)
0.450713 + 0.892669i \(0.351170\pi\)
\(660\) −25.6142 + 17.9498i −0.997032 + 0.698696i
\(661\) 24.5339 4.32600i 0.954260 0.168262i 0.325223 0.945637i \(-0.394561\pi\)
0.629037 + 0.777376i \(0.283450\pi\)
\(662\) 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 −0.232392 0.972622i \(-0.574655\pi\)
0.551033 0.834483i \(-0.314234\pi\)
\(674\) 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 −0.807581 0.589756i \(-0.799224\pi\)
0.960587 0.277980i \(-0.0896650\pi\)
\(678\) 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 −0.266014 0.963969i \(-0.585707\pi\)
−0.967829 + 0.251610i \(0.919040\pi\)
\(684\) −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 −0.912635 0.408775i \(-0.865956\pi\)
0.561042 + 0.827787i \(0.310401\pi\)
\(692\) 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 \(-0.945295\pi\)
0.985269 0.171015i \(-0.0547045\pi\)
\(702\) −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 −0.650809 0.759241i \(-0.725570\pi\)
−0.0105181 + 0.999945i \(0.503348\pi\)
\(710\) −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 0.693757 0.720209i \(-0.255954\pi\)
−0.970598 + 0.240707i \(0.922621\pi\)
\(720\) 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 0.728725 0.684806i \(-0.240113\pi\)
0.450560 + 0.892746i \(0.351224\pi\)
\(728\) 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 0.430444 + 0.902617i \(0.358357\pi\)
−0.909931 + 0.414761i \(0.863865\pi\)
\(734\) −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 0.863663 0.504070i \(-0.168165\pi\)
−0.868369 + 0.495919i \(0.834831\pi\)
\(740\) 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 −0.339905 0.940460i \(-0.610395\pi\)
0.00225037 + 0.999997i \(0.499284\pi\)
\(744\) 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 −0.439718 0.898136i \(-0.644922\pi\)
0.808135 + 0.588997i \(0.200477\pi\)
\(752\) −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 0.204917 0.978779i \(-0.434308\pi\)
0.999493 0.0318404i \(-0.0101368\pi\)
\(762\) −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
\(769\) −49.2137 +