Properties

Label 380.2.bb.a.219.19
Level $380$
Weight $2$
Character 380.219
Analytic conductor $3.034$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [380,2,Mod(59,380)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(380, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 9, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("380.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 380.bb (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: \(3.03431527681\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(56\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 219.19
Character \(\chi\) \(=\) 380.219
Dual form 380.2.bb.a.59.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.660906 - 1.25028i) q^{2} +(0.742048 + 0.884338i) q^{3} +(-1.12641 + 1.65264i) q^{4} +(-2.17942 + 0.500136i) q^{5} +(0.615247 - 1.51223i) q^{6} +(1.69793 - 2.94091i) q^{7} +(2.81071 + 0.316087i) q^{8} +(0.289526 - 1.64198i) q^{9} +O(q^{10})\) \(q+(-0.660906 - 1.25028i) q^{2} +(0.742048 + 0.884338i) q^{3} +(-1.12641 + 1.65264i) q^{4} +(-2.17942 + 0.500136i) q^{5} +(0.615247 - 1.51223i) q^{6} +(1.69793 - 2.94091i) q^{7} +(2.81071 + 0.316087i) q^{8} +(0.289526 - 1.64198i) q^{9} +(2.06570 + 2.39434i) q^{10} +(-1.00775 + 0.581825i) q^{11} +(-2.29734 + 0.230211i) q^{12} +(4.39554 + 3.68830i) q^{13} +(-4.79913 - 0.179231i) q^{14} +(-2.05952 - 1.55622i) q^{15} +(-1.46242 - 3.72308i) q^{16} +(0.599816 - 0.105764i) q^{17} +(-2.24429 + 0.723207i) q^{18} +(3.23728 - 2.91890i) q^{19} +(1.62837 - 4.16514i) q^{20} +(3.86070 - 0.680746i) q^{21} +(1.39347 + 0.875440i) q^{22} +(7.77354 - 2.82934i) q^{23} +(1.80615 + 2.72017i) q^{24} +(4.49973 - 2.18001i) q^{25} +(1.70637 - 7.93328i) q^{26} +(4.66618 - 2.69402i) q^{27} +(2.94769 + 6.11872i) q^{28} +(-6.74087 - 1.18860i) q^{29} +(-0.584560 + 3.60349i) q^{30} +(2.13154 - 3.69194i) q^{31} +(-3.68838 + 4.28904i) q^{32} +(-1.26233 - 0.459450i) q^{33} +(-0.528656 - 0.680038i) q^{34} +(-2.22965 + 7.25866i) q^{35} +(2.38748 + 2.32802i) q^{36} -3.94971 q^{37} +(-5.78899 - 2.11839i) q^{38} +6.62403i q^{39} +(-6.28380 + 0.716850i) q^{40} +(5.38471 + 6.41725i) q^{41} +(-3.40269 - 4.37705i) q^{42} +(-2.97975 - 1.08454i) q^{43} +(0.173591 - 2.32082i) q^{44} +(0.190216 + 3.72337i) q^{45} +(-8.67504 - 7.84918i) q^{46} +(0.606254 - 3.43824i) q^{47} +(2.20728 - 4.05597i) q^{48} +(-2.26595 - 3.92475i) q^{49} +(-5.69952 - 4.18514i) q^{50} +(0.538622 + 0.451958i) q^{51} +(-11.0466 + 3.10971i) q^{52} +(-8.80581 + 3.20505i) q^{53} +(-6.45219 - 4.05355i) q^{54} +(1.90532 - 1.77205i) q^{55} +(5.70198 - 7.72934i) q^{56} +(4.98351 + 0.696888i) q^{57} +(2.96900 + 9.21353i) q^{58} +(1.65971 + 9.41268i) q^{59} +(4.89172 - 1.65071i) q^{60} +(-1.14282 + 0.415954i) q^{61} +(-6.02471 - 0.225002i) q^{62} +(-4.33732 - 3.63944i) q^{63} +(7.80018 + 1.77686i) q^{64} +(-11.4244 - 5.83997i) q^{65} +(0.259839 + 1.88192i) q^{66} +(6.92102 + 1.22036i) q^{67} +(-0.500847 + 1.11041i) q^{68} +(8.27042 + 4.77493i) q^{69} +(10.5490 - 2.00960i) q^{70} +(-14.5431 - 5.29326i) q^{71} +(1.33278 - 4.52362i) q^{72} +(1.55888 + 1.85780i) q^{73} +(2.61039 + 4.93825i) q^{74} +(5.26688 + 2.36161i) q^{75} +(1.17739 + 8.63793i) q^{76} +3.95160i q^{77} +(8.28190 - 4.37786i) q^{78} +(-1.09624 + 0.919853i) q^{79} +(5.04926 + 7.38275i) q^{80} +(1.14467 + 0.416626i) q^{81} +(4.46458 - 10.9736i) q^{82} +(-3.12431 + 5.41146i) q^{83} +(-3.22369 + 7.14714i) q^{84} +(-1.25435 + 0.530492i) q^{85} +(0.613354 + 4.44230i) q^{86} +(-3.95092 - 6.84320i) q^{87} +(-3.01640 + 1.31680i) q^{88} +(3.76283 - 4.48437i) q^{89} +(4.52954 - 2.69862i) q^{90} +(18.3103 - 6.66439i) q^{91} +(-4.08030 + 16.0338i) q^{92} +(4.84662 - 0.854590i) q^{93} +(-4.69944 + 1.51436i) q^{94} +(-5.59555 + 7.98059i) q^{95} +(-6.52991 - 0.0791021i) q^{96} +(0.0622552 + 0.353067i) q^{97} +(-3.40946 + 5.42697i) q^{98} +(0.663577 + 1.82316i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9} - 15 q^{10} + 18 q^{14} - 6 q^{16} - 42 q^{20} + 12 q^{21} + 12 q^{24} - 12 q^{25} + 18 q^{26} - 24 q^{29} - 24 q^{30} + 12 q^{34} - 6 q^{36} - 48 q^{40} - 12 q^{41} - 36 q^{44} - 6 q^{45} - 18 q^{46} - 108 q^{49} - 36 q^{50} + 36 q^{54} - 30 q^{60} - 24 q^{61} + 18 q^{64} - 18 q^{65} - 48 q^{66} - 180 q^{69} - 21 q^{70} - 30 q^{74} - 48 q^{76} + 3 q^{80} - 60 q^{81} + 90 q^{84} - 36 q^{85} + 102 q^{86} - 48 q^{89} - 78 q^{90} + 24 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.660906 1.25028i −0.467331 0.884082i
\(3\) 0.742048 + 0.884338i 0.428421 + 0.510573i 0.936466 0.350758i \(-0.114076\pi\)
−0.508045 + 0.861331i \(0.669632\pi\)
\(4\) −1.12641 + 1.65264i −0.563203 + 0.826318i
\(5\) −2.17942 + 0.500136i −0.974665 + 0.223668i
\(6\) 0.615247 1.51223i 0.251174 0.617366i
\(7\) 1.69793 2.94091i 0.641758 1.11156i −0.343282 0.939233i \(-0.611539\pi\)
0.985040 0.172326i \(-0.0551282\pi\)
\(8\) 2.81071 + 0.316087i 0.993736 + 0.111754i
\(9\) 0.289526 1.64198i 0.0965086 0.547327i
\(10\) 2.06570 + 2.39434i 0.653232 + 0.757158i
\(11\) −1.00775 + 0.581825i −0.303848 + 0.175427i −0.644170 0.764882i \(-0.722797\pi\)
0.340322 + 0.940309i \(0.389464\pi\)
\(12\) −2.29734 + 0.230211i −0.663184 + 0.0664563i
\(13\) 4.39554 + 3.68830i 1.21910 + 1.02295i 0.998871 + 0.0475017i \(0.0151260\pi\)
0.220232 + 0.975447i \(0.429318\pi\)
\(14\) −4.79913 0.179231i −1.28262 0.0479016i
\(15\) −2.05952 1.55622i −0.531766 0.401814i
\(16\) −1.46242 3.72308i −0.365604 0.930770i
\(17\) 0.599816 0.105764i 0.145477 0.0256515i −0.100436 0.994944i \(-0.532024\pi\)
0.245912 + 0.969292i \(0.420913\pi\)
\(18\) −2.24429 + 0.723207i −0.528984 + 0.170462i
\(19\) 3.23728 2.91890i 0.742684 0.669642i
\(20\) 1.62837 4.16514i 0.364114 0.931354i
\(21\) 3.86070 0.680746i 0.842474 0.148551i
\(22\) 1.39347 + 0.875440i 0.297090 + 0.186644i
\(23\) 7.77354 2.82934i 1.62089 0.589957i 0.637342 0.770581i \(-0.280034\pi\)
0.983552 + 0.180623i \(0.0578115\pi\)
\(24\) 1.80615 + 2.72017i 0.368679 + 0.555252i
\(25\) 4.49973 2.18001i 0.899946 0.436002i
\(26\) 1.70637 7.93328i 0.334646 1.55584i
\(27\) 4.66618 2.69402i 0.898007 0.518465i
\(28\) 2.94769 + 6.11872i 0.557061 + 1.15633i
\(29\) −6.74087 1.18860i −1.25175 0.220717i −0.491804 0.870706i \(-0.663662\pi\)
−0.759944 + 0.649989i \(0.774773\pi\)
\(30\) −0.584560 + 3.60349i −0.106726 + 0.657905i
\(31\) 2.13154 3.69194i 0.382836 0.663091i −0.608630 0.793454i \(-0.708281\pi\)
0.991466 + 0.130363i \(0.0416141\pi\)
\(32\) −3.68838 + 4.28904i −0.652019 + 0.758202i
\(33\) −1.26233 0.459450i −0.219743 0.0799800i
\(34\) −0.528656 0.680038i −0.0906638 0.116626i
\(35\) −2.22965 + 7.25866i −0.376880 + 1.22694i
\(36\) 2.38748 + 2.32802i 0.397913 + 0.388003i
\(37\) −3.94971 −0.649329 −0.324665 0.945829i \(-0.605251\pi\)
−0.324665 + 0.945829i \(0.605251\pi\)
\(38\) −5.78899 2.11839i −0.939098 0.343649i
\(39\) 6.62403i 1.06069i
\(40\) −6.28380 + 0.716850i −0.993556 + 0.113344i
\(41\) 5.38471 + 6.41725i 0.840951 + 1.00221i 0.999889 + 0.0149177i \(0.00474864\pi\)
−0.158938 + 0.987289i \(0.550807\pi\)
\(42\) −3.40269 4.37705i −0.525046 0.675394i
\(43\) −2.97975 1.08454i −0.454407 0.165391i 0.104669 0.994507i \(-0.466622\pi\)
−0.559076 + 0.829116i \(0.688844\pi\)
\(44\) 0.173591 2.32082i 0.0261699 0.349876i
\(45\) 0.190216 + 3.72337i 0.0283558 + 0.555047i
\(46\) −8.67504 7.84918i −1.27907 1.15730i
\(47\) 0.606254 3.43824i 0.0884312 0.501518i −0.908132 0.418684i \(-0.862492\pi\)
0.996563 0.0828346i \(-0.0263973\pi\)
\(48\) 2.20728 4.05597i 0.318593 0.585429i
\(49\) −2.26595 3.92475i −0.323708 0.560678i
\(50\) −5.69952 4.18514i −0.806034 0.591869i
\(51\) 0.538622 + 0.451958i 0.0754222 + 0.0632868i
\(52\) −11.0466 + 3.10971i −1.53188 + 0.431239i
\(53\) −8.80581 + 3.20505i −1.20957 + 0.440248i −0.866555 0.499082i \(-0.833671\pi\)
−0.343016 + 0.939330i \(0.611449\pi\)
\(54\) −6.45219 4.05355i −0.878032 0.551618i
\(55\) 1.90532 1.77205i 0.256913 0.238944i
\(56\) 5.70198 7.72934i 0.761959 1.03288i
\(57\) 4.98351 + 0.696888i 0.660083 + 0.0923050i
\(58\) 2.96900 + 9.21353i 0.389849 + 1.20980i
\(59\) 1.65971 + 9.41268i 0.216076 + 1.22543i 0.879030 + 0.476767i \(0.158191\pi\)
−0.662954 + 0.748660i \(0.730698\pi\)
\(60\) 4.89172 1.65071i 0.631518 0.213105i
\(61\) −1.14282 + 0.415954i −0.146324 + 0.0532575i −0.414144 0.910211i \(-0.635919\pi\)
0.267820 + 0.963469i \(0.413697\pi\)
\(62\) −6.02471 0.225002i −0.765139 0.0285753i
\(63\) −4.33732 3.63944i −0.546451 0.458527i
\(64\) 7.80018 + 1.77686i 0.975022 + 0.222107i
\(65\) −11.4244 5.83997i −1.41702 0.724359i
\(66\) 0.259839 + 1.88192i 0.0319840 + 0.231648i
\(67\) 6.92102 + 1.22036i 0.845538 + 0.149091i 0.579602 0.814900i \(-0.303208\pi\)
0.265936 + 0.963991i \(0.414319\pi\)
\(68\) −0.500847 + 1.11041i −0.0607366 + 0.134657i
\(69\) 8.27042 + 4.77493i 0.995642 + 0.574834i
\(70\) 10.5490 2.00960i 1.26084 0.240193i
\(71\) −14.5431 5.29326i −1.72595 0.628194i −0.727620 0.685980i \(-0.759374\pi\)
−0.998329 + 0.0577857i \(0.981596\pi\)
\(72\) 1.33278 4.52362i 0.157070 0.533114i
\(73\) 1.55888 + 1.85780i 0.182453 + 0.217439i 0.849517 0.527561i \(-0.176894\pi\)
−0.667064 + 0.745001i \(0.732449\pi\)
\(74\) 2.61039 + 4.93825i 0.303452 + 0.574060i
\(75\) 5.26688 + 2.36161i 0.608167 + 0.272695i
\(76\) 1.17739 + 8.63793i 0.135056 + 0.990838i
\(77\) 3.95160i 0.450327i
\(78\) 8.28190 4.37786i 0.937741 0.495695i
\(79\) −1.09624 + 0.919853i −0.123336 + 0.103492i −0.702370 0.711812i \(-0.747875\pi\)
0.579033 + 0.815304i \(0.303430\pi\)
\(80\) 5.04926 + 7.38275i 0.564525 + 0.825416i
\(81\) 1.14467 + 0.416626i 0.127186 + 0.0462918i
\(82\) 4.46458 10.9736i 0.493030 1.21183i
\(83\) −3.12431 + 5.41146i −0.342938 + 0.593985i −0.984977 0.172686i \(-0.944755\pi\)
0.642039 + 0.766672i \(0.278089\pi\)
\(84\) −3.22369 + 7.14714i −0.351734 + 0.779816i
\(85\) −1.25435 + 0.530492i −0.136054 + 0.0575400i
\(86\) 0.613354 + 4.44230i 0.0661396 + 0.479025i
\(87\) −3.95092 6.84320i −0.423583 0.733668i
\(88\) −3.01640 + 1.31680i −0.321550 + 0.140372i
\(89\) 3.76283 4.48437i 0.398859 0.475342i −0.528813 0.848739i \(-0.677363\pi\)
0.927672 + 0.373397i \(0.121807\pi\)
\(90\) 4.52954 2.69862i 0.477456 0.284460i
\(91\) 18.3103 6.66439i 1.91944 0.698618i
\(92\) −4.08030 + 16.0338i −0.425401 + 1.67164i
\(93\) 4.84662 0.854590i 0.502571 0.0886169i
\(94\) −4.69944 + 1.51436i −0.484710 + 0.156195i
\(95\) −5.59555 + 7.98059i −0.574091 + 0.818791i
\(96\) −6.52991 0.0791021i −0.666456 0.00807332i
\(97\) 0.0622552 + 0.353067i 0.00632106 + 0.0358485i 0.987805 0.155695i \(-0.0497618\pi\)
−0.981484 + 0.191544i \(0.938651\pi\)
\(98\) −3.40946 + 5.42697i −0.344407 + 0.548207i
\(99\) 0.663577 + 1.82316i 0.0666920 + 0.183235i
\(100\) −1.46576 + 9.89199i −0.146576 + 0.989199i
\(101\) −14.5089 12.1745i −1.44369 1.21140i −0.937025 0.349263i \(-0.886432\pi\)
−0.506669 0.862140i \(-0.669124\pi\)
\(102\) 0.209096 0.972131i 0.0207036 0.0962553i
\(103\) −3.88456 + 2.24275i −0.382757 + 0.220985i −0.679017 0.734122i \(-0.737594\pi\)
0.296260 + 0.955107i \(0.404260\pi\)
\(104\) 11.1888 + 11.7561i 1.09715 + 1.15278i
\(105\) −8.07362 + 3.41451i −0.787905 + 0.333222i
\(106\) 9.82703 + 8.89150i 0.954485 + 0.863619i
\(107\) 15.5601 + 8.98363i 1.50425 + 0.868480i 0.999988 + 0.00493014i \(0.00156932\pi\)
0.504264 + 0.863550i \(0.331764\pi\)
\(108\) −0.803779 + 10.7461i −0.0773436 + 1.03404i
\(109\) −1.70381 + 4.68118i −0.163195 + 0.448376i −0.994156 0.107956i \(-0.965569\pi\)
0.830960 + 0.556332i \(0.187792\pi\)
\(110\) −3.47480 1.21102i −0.331309 0.115467i
\(111\) −2.93088 3.49288i −0.278186 0.331530i
\(112\) −13.4323 2.02071i −1.26924 0.190939i
\(113\) 4.94175 0.464881 0.232440 0.972611i \(-0.425329\pi\)
0.232440 + 0.972611i \(0.425329\pi\)
\(114\) −2.42233 6.69137i −0.226872 0.626704i
\(115\) −15.5267 + 10.0541i −1.44788 + 0.937553i
\(116\) 9.55727 9.80136i 0.887371 0.910034i
\(117\) 7.32874 6.14954i 0.677542 0.568525i
\(118\) 10.6716 8.29600i 0.982399 0.763709i
\(119\) 0.707406 1.94358i 0.0648478 0.178168i
\(120\) −5.29681 5.02506i −0.483531 0.458723i
\(121\) −4.82296 + 8.35361i −0.438451 + 0.759419i
\(122\) 1.27536 + 1.15395i 0.115466 + 0.104473i
\(123\) −1.67930 + 9.52381i −0.151418 + 0.858733i
\(124\) 3.70045 + 7.68128i 0.332310 + 0.689800i
\(125\) −8.71649 + 7.00163i −0.779626 + 0.626245i
\(126\) −1.68377 + 7.82820i −0.150002 + 0.697392i
\(127\) −0.457446 + 0.545163i −0.0405918 + 0.0483754i −0.785958 0.618279i \(-0.787830\pi\)
0.745367 + 0.666655i \(0.232274\pi\)
\(128\) −2.93361 10.9268i −0.259297 0.965798i
\(129\) −1.25201 3.43988i −0.110234 0.302865i
\(130\) 0.248826 + 18.1433i 0.0218235 + 1.59128i
\(131\) −13.8373 + 2.43989i −1.20897 + 0.213174i −0.741573 0.670873i \(-0.765920\pi\)
−0.467398 + 0.884047i \(0.654809\pi\)
\(132\) 2.18120 1.56864i 0.189849 0.136533i
\(133\) −3.08753 14.4767i −0.267723 1.25528i
\(134\) −3.04835 9.45977i −0.263337 0.817200i
\(135\) −8.82219 + 8.20512i −0.759293 + 0.706185i
\(136\) 1.71934 0.107677i 0.147432 0.00923321i
\(137\) 1.28681 + 3.53549i 0.109940 + 0.302058i 0.982446 0.186545i \(-0.0597290\pi\)
−0.872506 + 0.488603i \(0.837507\pi\)
\(138\) 0.504035 13.4961i 0.0429063 1.14887i
\(139\) 12.6652 15.0938i 1.07425 1.28024i 0.116330 0.993211i \(-0.462887\pi\)
0.957921 0.287032i \(-0.0926686\pi\)
\(140\) −9.48444 11.8610i −0.801581 1.00244i
\(141\) 3.49043 2.01520i 0.293947 0.169711i
\(142\) 2.99357 + 21.6813i 0.251214 + 1.81946i
\(143\) −6.57555 1.15945i −0.549875 0.0969579i
\(144\) −6.53664 + 1.32333i −0.544720 + 0.110278i
\(145\) 15.2856 0.780899i 1.26940 0.0648502i
\(146\) 1.29250 3.17687i 0.106968 0.262920i
\(147\) 1.78936 4.91622i 0.147584 0.405483i
\(148\) 4.44898 6.52744i 0.365704 0.536553i
\(149\) 4.49321 3.77025i 0.368098 0.308871i −0.439910 0.898042i \(-0.644990\pi\)
0.808009 + 0.589171i \(0.200545\pi\)
\(150\) −0.528236 8.14588i −0.0431303 0.665108i
\(151\) 7.17225 0.583670 0.291835 0.956469i \(-0.405734\pi\)
0.291835 + 0.956469i \(0.405734\pi\)
\(152\) 10.0217 7.18092i 0.812867 0.582450i
\(153\) 1.01551i 0.0820989i
\(154\) 4.94061 2.61164i 0.398126 0.210452i
\(155\) −2.79905 + 9.11233i −0.224825 + 0.731920i
\(156\) −10.9471 7.46135i −0.876471 0.597386i
\(157\) −3.29686 + 9.05806i −0.263118 + 0.722912i 0.735835 + 0.677161i \(0.236790\pi\)
−0.998953 + 0.0457503i \(0.985432\pi\)
\(158\) 1.87458 + 0.762669i 0.149134 + 0.0606747i
\(159\) −9.36868 5.40901i −0.742984 0.428962i
\(160\) 5.89342 11.1923i 0.465916 0.884829i
\(161\) 4.87813 27.6653i 0.384451 2.18033i
\(162\) −0.235620 1.70651i −0.0185121 0.134076i
\(163\) −2.69951 4.67568i −0.211442 0.366228i 0.740724 0.671809i \(-0.234482\pi\)
−0.952166 + 0.305582i \(0.901149\pi\)
\(164\) −16.6708 + 1.67054i −1.30177 + 0.130447i
\(165\) 2.98093 + 0.369998i 0.232065 + 0.0288043i
\(166\) 8.83073 + 0.329797i 0.685397 + 0.0255972i
\(167\) 2.74884 + 7.55239i 0.212712 + 0.584421i 0.999460 0.0328528i \(-0.0104592\pi\)
−0.786748 + 0.617274i \(0.788237\pi\)
\(168\) 11.0665 0.693060i 0.853798 0.0534708i
\(169\) 3.45982 + 19.6216i 0.266140 + 1.50935i
\(170\) 1.49227 + 1.21769i 0.114452 + 0.0933924i
\(171\) −3.85551 6.16066i −0.294838 0.471117i
\(172\) 5.14875 3.70281i 0.392589 0.282336i
\(173\) −2.85485 16.1907i −0.217051 1.23096i −0.877312 0.479920i \(-0.840666\pi\)
0.660262 0.751035i \(-0.270445\pi\)
\(174\) −5.94473 + 9.46248i −0.450669 + 0.717348i
\(175\) 1.22903 16.9348i 0.0929061 1.28015i
\(176\) 3.63993 + 2.90107i 0.274370 + 0.218676i
\(177\) −7.09240 + 8.45240i −0.533098 + 0.635321i
\(178\) −8.09360 1.74085i −0.606641 0.130482i
\(179\) −2.13089 3.69082i −0.159270 0.275865i 0.775335 0.631550i \(-0.217581\pi\)
−0.934606 + 0.355685i \(0.884248\pi\)
\(180\) −6.36764 3.87967i −0.474616 0.289173i
\(181\) 21.8586 + 3.85426i 1.62474 + 0.286485i 0.910529 0.413446i \(-0.135675\pi\)
0.714210 + 0.699931i \(0.246786\pi\)
\(182\) −20.4337 18.4884i −1.51465 1.37045i
\(183\) −1.21587 0.701985i −0.0898800 0.0518922i
\(184\) 22.7435 5.49533i 1.67667 0.405121i
\(185\) 8.60808 1.97539i 0.632879 0.145234i
\(186\) −4.27164 5.49484i −0.313212 0.402901i
\(187\) −0.542929 + 0.455571i −0.0397029 + 0.0333147i
\(188\) 4.99927 + 4.87477i 0.364609 + 0.355529i
\(189\) 18.2971i 1.33092i
\(190\) 13.6761 + 1.72159i 0.992170 + 0.124897i
\(191\) 3.80166i 0.275078i −0.990496 0.137539i \(-0.956081\pi\)
0.990496 0.137539i \(-0.0439193\pi\)
\(192\) 4.21676 + 8.21651i 0.304318 + 0.592975i
\(193\) −10.5966 + 8.89164i −0.762763 + 0.640034i −0.938844 0.344342i \(-0.888102\pi\)
0.176082 + 0.984376i \(0.443658\pi\)
\(194\) 0.400288 0.311180i 0.0287390 0.0223415i
\(195\) −3.31292 14.4365i −0.237243 1.03382i
\(196\) 9.03857 + 0.676062i 0.645612 + 0.0482902i
\(197\) 16.3710 + 9.45182i 1.16639 + 0.673415i 0.952827 0.303515i \(-0.0981602\pi\)
0.213562 + 0.976930i \(0.431494\pi\)
\(198\) 1.84090 2.03460i 0.130827 0.144592i
\(199\) −23.0442 4.06332i −1.63356 0.288041i −0.719766 0.694217i \(-0.755751\pi\)
−0.913795 + 0.406176i \(0.866862\pi\)
\(200\) 13.3365 4.70507i 0.943033 0.332699i
\(201\) 4.05652 + 7.02609i 0.286125 + 0.495582i
\(202\) −5.63244 + 26.1864i −0.396297 + 1.84247i
\(203\) −14.9411 + 17.8061i −1.04866 + 1.24974i
\(204\) −1.35363 + 0.381059i −0.0947731 + 0.0266795i
\(205\) −14.9450 11.2928i −1.04381 0.788723i
\(206\) 5.37140 + 3.37454i 0.374243 + 0.235116i
\(207\) −2.39508 13.5832i −0.166470 0.944096i
\(208\) 7.30372 21.7588i 0.506422 1.50870i
\(209\) −1.56408 + 4.82506i −0.108190 + 0.333756i
\(210\) 9.60500 + 7.83763i 0.662808 + 0.540848i
\(211\) −1.04190 5.90893i −0.0717277 0.406788i −0.999439 0.0334896i \(-0.989338\pi\)
0.927711 0.373298i \(-0.121773\pi\)
\(212\) 4.62213 18.1630i 0.317449 1.24744i
\(213\) −6.11065 16.7889i −0.418695 1.15035i
\(214\) 0.948298 25.3918i 0.0648243 1.73575i
\(215\) 7.03653 + 0.873386i 0.479887 + 0.0595644i
\(216\) 13.9668 6.09719i 0.950322 0.414861i
\(217\) −7.23843 12.5373i −0.491376 0.851089i
\(218\) 6.97885 0.963578i 0.472667 0.0652617i
\(219\) −0.486161 + 2.75716i −0.0328517 + 0.186311i
\(220\) 0.782396 + 5.14485i 0.0527491 + 0.346866i
\(221\) 3.02660 + 1.74741i 0.203591 + 0.117543i
\(222\) −2.43005 + 5.97289i −0.163094 + 0.400874i
\(223\) −6.72323 + 18.4719i −0.450221 + 1.23697i 0.482348 + 0.875980i \(0.339784\pi\)
−0.932569 + 0.360992i \(0.882438\pi\)
\(224\) 6.35104 + 18.1297i 0.424347 + 1.21134i
\(225\) −2.27675 8.01964i −0.151783 0.534643i
\(226\) −3.26603 6.17858i −0.217253 0.410993i
\(227\) 4.93132i 0.327303i −0.986518 0.163652i \(-0.947673\pi\)
0.986518 0.163652i \(-0.0523273\pi\)
\(228\) −6.76517 + 7.45096i −0.448034 + 0.493452i
\(229\) −12.3804 −0.818120 −0.409060 0.912508i \(-0.634143\pi\)
−0.409060 + 0.912508i \(0.634143\pi\)
\(230\) 22.8322 + 12.7680i 1.50551 + 0.841894i
\(231\) −3.49455 + 2.93228i −0.229925 + 0.192930i
\(232\) −18.5709 5.47150i −1.21924 0.359222i
\(233\) −2.21378 + 6.08230i −0.145029 + 0.398465i −0.990844 0.135012i \(-0.956893\pi\)
0.845815 + 0.533477i \(0.179115\pi\)
\(234\) −12.5323 5.09871i −0.819260 0.333313i
\(235\) 0.398304 + 7.79657i 0.0259825 + 0.508592i
\(236\) −17.4252 7.85961i −1.13429 0.511617i
\(237\) −1.62692 0.286870i −0.105680 0.0186342i
\(238\) −2.89755 + 0.400068i −0.187820 + 0.0259326i
\(239\) −6.74770 + 3.89579i −0.436472 + 0.251998i −0.702100 0.712078i \(-0.747754\pi\)
0.265628 + 0.964076i \(0.414421\pi\)
\(240\) −2.78205 + 9.94360i −0.179580 + 0.641857i
\(241\) −6.28008 + 7.48431i −0.404536 + 0.482107i −0.929397 0.369081i \(-0.879673\pi\)
0.524862 + 0.851188i \(0.324117\pi\)
\(242\) 13.6319 + 0.509104i 0.876291 + 0.0327265i
\(243\) −5.04750 13.8679i −0.323797 0.889625i
\(244\) 0.599864 2.35721i 0.0384023 0.150905i
\(245\) 6.90137 + 7.42038i 0.440912 + 0.474071i
\(246\) 13.0173 4.19474i 0.829953 0.267447i
\(247\) 24.9954 0.890094i 1.59042 0.0566353i
\(248\) 7.15812 9.70321i 0.454541 0.616154i
\(249\) −7.10395 + 1.25262i −0.450194 + 0.0793814i
\(250\) 14.5148 + 6.27064i 0.917996 + 0.396590i
\(251\) −3.50601 9.63268i −0.221297 0.608010i 0.778510 0.627632i \(-0.215976\pi\)
−0.999807 + 0.0196225i \(0.993754\pi\)
\(252\) 10.9003 3.06852i 0.686652 0.193299i
\(253\) −6.18761 + 7.37411i −0.389012 + 0.463606i
\(254\) 0.983936 + 0.211635i 0.0617376 + 0.0132791i
\(255\) −1.39992 0.715621i −0.0876666 0.0448139i
\(256\) −11.7227 + 10.8894i −0.732667 + 0.680587i
\(257\) −0.689434 + 3.90998i −0.0430057 + 0.243898i −0.998731 0.0503629i \(-0.983962\pi\)
0.955725 + 0.294260i \(0.0950733\pi\)
\(258\) −3.47336 + 3.83881i −0.216242 + 0.238994i
\(259\) −6.70635 + 11.6157i −0.416712 + 0.721767i
\(260\) 22.5198 12.3021i 1.39662 0.762947i
\(261\) −3.90331 + 10.7243i −0.241609 + 0.663815i
\(262\) 12.1957 + 15.6880i 0.753453 + 0.969207i
\(263\) 6.25883 5.25178i 0.385936 0.323839i −0.429092 0.903261i \(-0.641166\pi\)
0.815027 + 0.579422i \(0.196722\pi\)
\(264\) −3.40281 1.69039i −0.209429 0.104036i
\(265\) 17.5886 11.3892i 1.08046 0.699636i
\(266\) −16.0593 + 13.4280i −0.984660 + 0.823323i
\(267\) 6.75789 0.413576
\(268\) −9.81270 + 10.0633i −0.599406 + 0.614715i
\(269\) 12.0224 + 14.3278i 0.733020 + 0.873579i 0.995826 0.0912698i \(-0.0290926\pi\)
−0.262807 + 0.964849i \(0.584648\pi\)
\(270\) 16.0893 + 5.60740i 0.979167 + 0.341255i
\(271\) −8.54223 + 23.4696i −0.518903 + 1.42567i 0.352827 + 0.935689i \(0.385220\pi\)
−0.871730 + 0.489986i \(0.837002\pi\)
\(272\) −1.27095 2.07849i −0.0770625 0.126027i
\(273\) 19.4807 + 11.2472i 1.17902 + 0.680709i
\(274\) 3.56990 3.94551i 0.215665 0.238357i
\(275\) −3.26622 + 4.81496i −0.196960 + 0.290353i
\(276\) −17.2071 + 8.28949i −1.03574 + 0.498969i
\(277\) −0.972483 + 0.561463i −0.0584308 + 0.0337351i −0.528931 0.848665i \(-0.677407\pi\)
0.470500 + 0.882400i \(0.344074\pi\)
\(278\) −27.2421 5.85950i −1.63387 0.351429i
\(279\) −5.44496 4.56886i −0.325981 0.273531i
\(280\) −8.56128 + 19.6972i −0.511634 + 1.17713i
\(281\) −2.85626 7.84752i −0.170390 0.468144i 0.824878 0.565311i \(-0.191244\pi\)
−0.995268 + 0.0971676i \(0.969022\pi\)
\(282\) −4.82642 3.03216i −0.287409 0.180563i
\(283\) 1.31468 + 7.45594i 0.0781498 + 0.443210i 0.998626 + 0.0524101i \(0.0166903\pi\)
−0.920476 + 0.390799i \(0.872199\pi\)
\(284\) 25.1293 18.0721i 1.49115 1.07238i
\(285\) −11.2097 + 0.973624i −0.664005 + 0.0576725i
\(286\) 2.89619 + 8.98758i 0.171255 + 0.531447i
\(287\) 28.0154 4.93987i 1.65370 0.291592i
\(288\) 5.97464 + 7.29804i 0.352059 + 0.430041i
\(289\) −15.6262 + 5.68747i −0.919187 + 0.334557i
\(290\) −11.0787 18.5952i −0.650564 1.09195i
\(291\) −0.266034 + 0.317047i −0.0155952 + 0.0185856i
\(292\) −4.82621 + 0.483624i −0.282432 + 0.0283019i
\(293\) −7.79634 13.5037i −0.455467 0.788892i 0.543248 0.839572i \(-0.317194\pi\)
−0.998715 + 0.0506804i \(0.983861\pi\)
\(294\) −7.32925 + 1.01196i −0.427451 + 0.0590186i
\(295\) −8.32482 19.6841i −0.484690 1.14605i
\(296\) −11.1015 1.24845i −0.645262 0.0725650i
\(297\) −3.13490 + 5.42981i −0.181905 + 0.315069i
\(298\) −7.68347 3.12600i −0.445091 0.181084i
\(299\) 44.6043 + 16.2346i 2.57953 + 0.938874i
\(300\) −9.83553 + 6.04410i −0.567854 + 0.348957i
\(301\) −8.24894 + 6.92168i −0.475461 + 0.398959i
\(302\) −4.74019 8.96733i −0.272767 0.516012i
\(303\) 21.8648i 1.25610i
\(304\) −15.6016 7.78402i −0.894812 0.446444i
\(305\) 2.28266 1.47811i 0.130705 0.0846361i
\(306\) −1.26967 + 0.671155i −0.0725822 + 0.0383674i
\(307\) −8.69270 10.3596i −0.496118 0.591251i 0.458644 0.888620i \(-0.348335\pi\)
−0.954763 + 0.297369i \(0.903891\pi\)
\(308\) −6.53056 4.45111i −0.372113 0.253626i
\(309\) −4.86588 1.77103i −0.276810 0.100751i
\(310\) 13.2429 2.52280i 0.752145 0.143285i
\(311\) 12.6374 + 7.29623i 0.716603 + 0.413731i 0.813501 0.581563i \(-0.197559\pi\)
−0.0968981 + 0.995294i \(0.530892\pi\)
\(312\) −2.09377 + 18.6182i −0.118537 + 1.05405i
\(313\) 21.5229 + 3.79507i 1.21655 + 0.214510i 0.744839 0.667244i \(-0.232526\pi\)
0.471709 + 0.881754i \(0.343637\pi\)
\(314\) 13.5040 1.86452i 0.762077 0.105221i
\(315\) 11.2731 + 5.76262i 0.635164 + 0.324687i
\(316\) −0.285373 2.84781i −0.0160535 0.160202i
\(317\) 18.4819 + 15.5082i 1.03805 + 0.871026i 0.991787 0.127903i \(-0.0408247\pi\)
0.0462618 + 0.998929i \(0.485269\pi\)
\(318\) −0.570967 + 15.2883i −0.0320182 + 0.857327i
\(319\) 7.48467 2.72420i 0.419061 0.152526i
\(320\) −17.8885 + 0.0286280i −0.999999 + 0.00160036i
\(321\) 3.60177 + 20.4267i 0.201031 + 1.14010i
\(322\) −37.8134 + 12.1851i −2.10726 + 0.679049i
\(323\) 1.63306 2.09319i 0.0908658 0.116468i
\(324\) −1.97790 + 1.42244i −0.109883 + 0.0790242i
\(325\) 27.8193 + 7.01401i 1.54313 + 0.389067i
\(326\) −4.06180 + 6.46533i −0.224962 + 0.358081i
\(327\) −5.40405 + 1.96691i −0.298845 + 0.108771i
\(328\) 13.1065 + 19.7391i 0.723683 + 1.08991i
\(329\) −9.08215 7.62083i −0.500715 0.420150i
\(330\) −1.50751 3.97154i −0.0829859 0.218626i
\(331\) 9.49032 + 16.4377i 0.521635 + 0.903498i 0.999683 + 0.0251647i \(0.00801101\pi\)
−0.478048 + 0.878333i \(0.658656\pi\)
\(332\) −5.42394 11.2589i −0.297677 0.617910i
\(333\) −1.14354 + 6.48536i −0.0626658 + 0.355396i
\(334\) 7.62588 8.42825i 0.417270 0.461173i
\(335\) −15.6942 + 0.801770i −0.857463 + 0.0438054i
\(336\) −8.18043 13.3782i −0.446279 0.729839i
\(337\) −12.5586 4.57095i −0.684109 0.248995i −0.0234985 0.999724i \(-0.507480\pi\)
−0.660611 + 0.750728i \(0.729703\pi\)
\(338\) 22.2459 17.2938i 1.21002 0.940658i
\(339\) 3.66701 + 4.37018i 0.199165 + 0.237355i
\(340\) 0.536200 2.67054i 0.0290795 0.144830i
\(341\) 4.96074i 0.268639i
\(342\) −5.15443 + 8.89209i −0.278720 + 0.480829i
\(343\) 8.38131 0.452548
\(344\) −8.03239 3.99018i −0.433078 0.215136i
\(345\) −20.4128 6.27024i −1.09899 0.337578i
\(346\) −18.3561 + 14.2699i −0.986831 + 0.767154i
\(347\) −2.69002 0.979089i −0.144408 0.0525602i 0.268805 0.963195i \(-0.413371\pi\)
−0.413213 + 0.910634i \(0.635594\pi\)
\(348\) 15.7597 + 1.17878i 0.844807 + 0.0631894i
\(349\) −2.95539 + 5.11888i −0.158198 + 0.274007i −0.934219 0.356700i \(-0.883902\pi\)
0.776021 + 0.630707i \(0.217235\pi\)
\(350\) −21.9855 + 9.65567i −1.17518 + 0.516117i
\(351\) 30.4467 + 5.36858i 1.62513 + 0.286554i
\(352\) 1.22150 6.46828i 0.0651060 0.344760i
\(353\) −10.2623 + 5.92495i −0.546208 + 0.315353i −0.747591 0.664159i \(-0.768790\pi\)
0.201383 + 0.979512i \(0.435456\pi\)
\(354\) 15.2553 + 3.28126i 0.810809 + 0.174397i
\(355\) 34.3429 + 4.26270i 1.82273 + 0.226240i
\(356\) 3.17255 + 11.2698i 0.168145 + 0.597299i
\(357\) 2.24371 0.816644i 0.118750 0.0432214i
\(358\) −3.20624 + 5.10350i −0.169455 + 0.269728i
\(359\) −21.8504 + 3.85282i −1.15322 + 0.203344i −0.717382 0.696680i \(-0.754660\pi\)
−0.435840 + 0.900024i \(0.643549\pi\)
\(360\) −0.642267 + 10.5254i −0.0338504 + 0.554739i
\(361\) 1.96001 18.8986i 0.103159 0.994665i
\(362\) −9.62758 29.8767i −0.506014 1.57029i
\(363\) −10.9663 + 1.93365i −0.575580 + 0.101490i
\(364\) −9.61098 + 37.7670i −0.503752 + 1.97953i
\(365\) −4.32661 3.26928i −0.226465 0.171122i
\(366\) −0.0741005 + 1.98413i −0.00387329 + 0.103712i
\(367\) −6.66630 5.59369i −0.347978 0.291988i 0.451999 0.892018i \(-0.350711\pi\)
−0.799978 + 0.600030i \(0.795155\pi\)
\(368\) −21.9020 24.8038i −1.14172 1.29299i
\(369\) 12.0960 6.98364i 0.629694 0.363554i
\(370\) −8.15893 9.45697i −0.424163 0.491645i
\(371\) −5.52592 + 31.3390i −0.286891 + 1.62704i
\(372\) −4.04694 + 8.97232i −0.209824 + 0.465193i
\(373\) 6.36543 11.0253i 0.329590 0.570866i −0.652841 0.757495i \(-0.726423\pi\)
0.982430 + 0.186629i \(0.0597563\pi\)
\(374\) 0.928417 + 0.377724i 0.0480073 + 0.0195316i
\(375\) −12.6599 2.51278i −0.653752 0.129759i
\(376\) 2.79079 9.47226i 0.143924 0.488494i
\(377\) −25.2459 30.0868i −1.30023 1.54955i
\(378\) −22.8765 + 12.0926i −1.17664 + 0.621979i
\(379\) −2.20686 −0.113359 −0.0566794 0.998392i \(-0.518051\pi\)
−0.0566794 + 0.998392i \(0.518051\pi\)
\(380\) −6.88616 18.2368i −0.353252 0.935528i
\(381\) −0.821555 −0.0420895
\(382\) −4.75314 + 2.51254i −0.243192 + 0.128553i
\(383\) 2.13160 + 2.54034i 0.108920 + 0.129805i 0.817750 0.575574i \(-0.195221\pi\)
−0.708830 + 0.705379i \(0.750777\pi\)
\(384\) 7.48606 10.7025i 0.382022 0.546158i
\(385\) −1.97634 8.61219i −0.100723 0.438918i
\(386\) 18.1204 + 7.37224i 0.922305 + 0.375237i
\(387\) −2.64351 + 4.57869i −0.134377 + 0.232748i
\(388\) −0.653616 0.294811i −0.0331823 0.0149668i
\(389\) −2.95801 + 16.7757i −0.149977 + 0.850563i 0.813258 + 0.581903i \(0.197692\pi\)
−0.963235 + 0.268660i \(0.913419\pi\)
\(390\) −15.8602 + 13.6833i −0.803113 + 0.692879i
\(391\) 4.36345 2.51924i 0.220669 0.127403i
\(392\) −5.12838 11.7476i −0.259022 0.593342i
\(393\) −12.4256 10.4263i −0.626790 0.525939i
\(394\) 0.997720 26.7152i 0.0502644 1.34589i
\(395\) 1.92911 2.55301i 0.0970640 0.128456i
\(396\) −3.76048 0.956970i −0.188971 0.0480896i
\(397\) −0.219370 + 0.0386808i −0.0110099 + 0.00194134i −0.179150 0.983822i \(-0.557335\pi\)
0.168141 + 0.985763i \(0.446224\pi\)
\(398\) 10.1498 + 31.4972i 0.508762 + 1.57881i
\(399\) 10.5112 13.4728i 0.526216 0.674483i
\(400\) −14.6968 13.5648i −0.734842 0.678239i
\(401\) −13.5729 + 2.39327i −0.677798 + 0.119514i −0.501941 0.864902i \(-0.667381\pi\)
−0.175857 + 0.984416i \(0.556270\pi\)
\(402\) 6.10361 9.71537i 0.304421 0.484559i
\(403\) 22.9862 8.36630i 1.14503 0.416755i
\(404\) 36.4629 10.2646i 1.81410 0.510685i
\(405\) −2.70309 0.335512i −0.134318 0.0166717i
\(406\) 32.1373 + 6.91241i 1.59495 + 0.343057i
\(407\) 3.98033 2.29804i 0.197298 0.113910i
\(408\) 1.37105 + 1.44057i 0.0678772 + 0.0713190i
\(409\) 12.6594 + 2.23220i 0.625968 + 0.110375i 0.477629 0.878562i \(-0.341496\pi\)
0.148339 + 0.988937i \(0.452607\pi\)
\(410\) −4.24189 + 26.1490i −0.209492 + 1.29141i
\(411\) −2.17169 + 3.76148i −0.107122 + 0.185540i
\(412\) 0.669139 8.94601i 0.0329661 0.440738i
\(413\) 30.4999 + 11.1011i 1.50080 + 0.546247i
\(414\) −15.3999 + 11.9717i −0.756862 + 0.588378i
\(415\) 4.10271 13.3564i 0.201394 0.655641i
\(416\) −32.0317 + 5.24881i −1.57048 + 0.257344i
\(417\) 22.7463 1.11389
\(418\) 7.06640 1.23337i 0.345629 0.0603259i
\(419\) 34.1618i 1.66891i −0.551073 0.834457i \(-0.685781\pi\)
0.551073 0.834457i \(-0.314219\pi\)
\(420\) 3.45124 17.1889i 0.168403 0.838732i
\(421\) −12.8956 15.3684i −0.628495 0.749012i 0.354011 0.935241i \(-0.384818\pi\)
−0.982506 + 0.186230i \(0.940373\pi\)
\(422\) −6.69923 + 5.20792i −0.326113 + 0.253518i
\(423\) −5.47000 1.99092i −0.265960 0.0968016i
\(424\) −25.7636 + 6.22507i −1.25119 + 0.302316i
\(425\) 2.46844 1.78351i 0.119737 0.0865130i
\(426\) −16.9522 + 18.7359i −0.821339 + 0.907757i
\(427\) −0.717157 + 4.06720i −0.0347057 + 0.196826i
\(428\) −32.3737 + 15.5960i −1.56484 + 0.753860i
\(429\) −3.85403 6.67537i −0.186074 0.322290i
\(430\) −3.55851 9.37487i −0.171606 0.452096i
\(431\) 17.9907 + 15.0960i 0.866581 + 0.727148i 0.963375 0.268157i \(-0.0864145\pi\)
−0.0967944 + 0.995304i \(0.530859\pi\)
\(432\) −16.8540 13.4328i −0.810887 0.646286i
\(433\) −22.3518 + 8.13540i −1.07416 + 0.390963i −0.817731 0.575600i \(-0.804768\pi\)
−0.256430 + 0.966563i \(0.582546\pi\)
\(434\) −10.8913 + 17.3361i −0.522797 + 0.832158i
\(435\) 12.0332 + 12.9382i 0.576950 + 0.620339i
\(436\) −5.81711 8.08869i −0.278589 0.387378i
\(437\) 16.9066 31.8496i 0.808752 1.52357i
\(438\) 3.76853 1.21438i 0.180067 0.0580254i
\(439\) −0.364916 2.06954i −0.0174165 0.0987739i 0.974860 0.222817i \(-0.0715251\pi\)
−0.992277 + 0.124043i \(0.960414\pi\)
\(440\) 5.91542 4.37848i 0.282007 0.208736i
\(441\) −7.10042 + 2.58434i −0.338115 + 0.123064i
\(442\) 0.184454 4.93898i 0.00877357 0.234923i
\(443\) 13.8356 + 11.6095i 0.657351 + 0.551583i 0.909291 0.416160i \(-0.136624\pi\)
−0.251941 + 0.967743i \(0.581069\pi\)
\(444\) 9.07382 0.909269i 0.430625 0.0431520i
\(445\) −5.95799 + 11.6552i −0.282436 + 0.552511i
\(446\) 27.5385 3.80228i 1.30399 0.180043i
\(447\) 6.66835 + 1.17581i 0.315402 + 0.0556139i
\(448\) 18.4698 19.9226i 0.872614 0.941255i
\(449\) 24.3831 + 14.0776i 1.15071 + 0.664361i 0.949060 0.315097i \(-0.102037\pi\)
0.201648 + 0.979458i \(0.435370\pi\)
\(450\) −8.52209 + 8.14681i −0.401735 + 0.384044i
\(451\) −9.16017 3.33403i −0.431336 0.156993i
\(452\) −5.56642 + 8.16692i −0.261822 + 0.384140i
\(453\) 5.32215 + 6.34269i 0.250057 + 0.298006i
\(454\) −6.16554 + 3.25914i −0.289363 + 0.152959i
\(455\) −36.5726 + 23.6821i −1.71455 + 1.11023i
\(456\) 13.7869 + 3.53398i 0.645632 + 0.165494i
\(457\) 0.0314760i 0.00147238i 1.00000 0.000736192i \(0.000234337\pi\)
−1.00000 0.000736192i \(0.999766\pi\)
\(458\) 8.18228 + 15.4790i 0.382333 + 0.723285i
\(459\) 2.51392 2.10943i 0.117340 0.0984597i
\(460\) 0.873590 36.9851i 0.0407313 1.72444i
\(461\) −21.3805 7.78188i −0.995791 0.362438i −0.207831 0.978165i \(-0.566640\pi\)
−0.787960 + 0.615727i \(0.788863\pi\)
\(462\) 5.97574 + 2.43121i 0.278017 + 0.113110i
\(463\) −5.71176 + 9.89306i −0.265448 + 0.459770i −0.967681 0.252178i \(-0.918853\pi\)
0.702233 + 0.711947i \(0.252187\pi\)
\(464\) 5.43271 + 26.8350i 0.252207 + 1.24578i
\(465\) −10.1354 + 4.28648i −0.470018 + 0.198781i
\(466\) 9.06768 1.25199i 0.420052 0.0579971i
\(467\) −9.41985 16.3157i −0.435899 0.754999i 0.561470 0.827497i \(-0.310236\pi\)
−0.997369 + 0.0724984i \(0.976903\pi\)
\(468\) 1.90782 + 19.0386i 0.0881890 + 0.880061i
\(469\) 15.3404 18.2820i 0.708354 0.844184i
\(470\) 9.48466 5.65079i 0.437495 0.260651i
\(471\) −10.4568 + 3.80597i −0.481824 + 0.175370i
\(472\) 1.68973 + 26.9809i 0.0777762 + 1.24190i
\(473\) 3.63385 0.640747i 0.167085 0.0294616i
\(474\) 0.716574 + 2.22370i 0.0329133 + 0.102138i
\(475\) 8.20366 20.1916i 0.376410 0.926453i
\(476\) 2.41521 + 3.35835i 0.110701 + 0.153930i
\(477\) 2.71313 + 15.3869i 0.124226 + 0.704519i
\(478\) 9.33043 + 5.86178i 0.426764 + 0.268111i
\(479\) −0.441924 1.21418i −0.0201920 0.0554771i 0.929187 0.369610i \(-0.120509\pi\)
−0.949379 + 0.314133i \(0.898286\pi\)
\(480\) 14.2710 3.09345i 0.651378 0.141196i
\(481\) −17.3611 14.5677i −0.791599 0.664231i
\(482\) 13.5080 + 2.90544i 0.615274 + 0.132339i
\(483\) 28.0853 16.2150i 1.27792 0.737809i
\(484\) −8.37287 17.3802i −0.380585 0.790007i
\(485\) −0.312261 0.738344i −0.0141791 0.0335265i
\(486\) −14.0028 + 15.4762i −0.635181 + 0.702013i
\(487\) −20.3213 11.7325i −0.920846 0.531651i −0.0369412 0.999317i \(-0.511761\pi\)
−0.883905 + 0.467667i \(0.845095\pi\)
\(488\) −3.34363 + 0.807894i −0.151359 + 0.0365716i
\(489\) 2.13172 5.85685i 0.0963997 0.264856i
\(490\) 4.71641 13.5328i 0.213066 0.611351i
\(491\) −8.05907 9.60442i −0.363701 0.433442i 0.552899 0.833248i \(-0.313522\pi\)
−0.916599 + 0.399807i \(0.869077\pi\)
\(492\) −13.8478 13.5030i −0.624308 0.608761i
\(493\) −4.16899 −0.187762
\(494\) −17.6325 30.6630i −0.793322 1.37959i
\(495\) −2.35804 3.64155i −0.105986 0.163676i
\(496\) −16.8626 2.53675i −0.757152 0.113903i
\(497\) −40.2602 + 33.7823i −1.80592 + 1.51534i
\(498\) 6.26117 + 8.05407i 0.280570 + 0.360912i
\(499\) −11.4556 + 31.4739i −0.512821 + 1.40897i 0.365463 + 0.930826i \(0.380911\pi\)
−0.878284 + 0.478139i \(0.841311\pi\)
\(500\) −1.75284 22.2919i −0.0783894 0.996923i
\(501\) −4.63909 + 8.03514i −0.207259 + 0.358983i
\(502\) −9.72642 + 10.7498i −0.434111 + 0.479787i
\(503\) 6.15474 34.9053i 0.274426 1.55635i −0.466352 0.884599i \(-0.654432\pi\)
0.740778 0.671750i \(-0.234457\pi\)
\(504\) −11.0406 11.6004i −0.491786 0.516723i
\(505\) 37.7099 + 19.2768i 1.67807 + 0.857805i
\(506\) 13.3091 + 2.86266i 0.591663 + 0.127261i
\(507\) −14.7848 + 17.6198i −0.656615 + 0.782523i
\(508\) −0.385686 1.37007i −0.0171121 0.0607869i
\(509\) 5.26727 + 14.4717i 0.233468 + 0.641447i 1.00000 0.000758854i \(-0.000241551\pi\)
−0.766532 + 0.642206i \(0.778019\pi\)
\(510\) 0.0304907 + 2.22326i 0.00135015 + 0.0984475i
\(511\) 8.11050 1.43010i 0.358787 0.0632639i
\(512\) 21.3624 + 7.45977i 0.944093 + 0.329679i
\(513\) 7.24217 22.3414i 0.319750 0.986399i
\(514\) 5.34422 1.72214i 0.235723 0.0759603i
\(515\) 7.34440 6.83070i 0.323633 0.300997i
\(516\) 7.09515 + 1.80558i 0.312347 + 0.0794862i
\(517\) 1.38950 + 3.81762i 0.0611101 + 0.167899i
\(518\) 18.9552 + 0.707912i 0.832844 + 0.0311039i
\(519\) 12.1996 14.5389i 0.535503 0.638188i
\(520\) −30.2646 20.0256i −1.32719 0.878179i
\(521\) −5.28205 + 3.04959i −0.231411 + 0.133605i −0.611223 0.791459i \(-0.709322\pi\)
0.379812 + 0.925064i \(0.375989\pi\)
\(522\) 15.9881 2.20749i 0.699778 0.0966192i
\(523\) −11.2974 1.99204i −0.494001 0.0871058i −0.0789030 0.996882i \(-0.525142\pi\)
−0.415098 + 0.909777i \(0.636253\pi\)
\(524\) 11.5542 25.6163i 0.504747 1.11906i
\(525\) 15.8881 11.4795i 0.693413 0.501008i
\(526\) −10.7027 4.35436i −0.466660 0.189859i
\(527\) 0.888058 2.43992i 0.0386844 0.106285i
\(528\) 0.135481 + 5.37166i 0.00589604 + 0.233772i
\(529\) 34.8037 29.2038i 1.51321 1.26973i
\(530\) −25.8642 14.4634i −1.12347 0.628252i
\(531\) 15.9360 0.691562
\(532\) 27.4025 + 11.2040i 1.18805 + 0.485756i
\(533\) 48.0677i 2.08204i
\(534\) −4.46633 8.44927i −0.193277 0.365636i
\(535\) −38.4050 11.7969i −1.66039 0.510025i
\(536\) 19.0672 + 5.61773i 0.823580 + 0.242649i
\(537\) 1.68270 4.62319i 0.0726140 0.199505i
\(538\) 9.96804 24.5007i 0.429753 1.05630i
\(539\) 4.56704 + 2.63678i 0.196716 + 0.113574i
\(540\) −3.62272 23.8222i −0.155897 1.02514i
\(541\) −4.34346 + 24.6330i −0.186740 + 1.05905i 0.736960 + 0.675937i \(0.236261\pi\)
−0.923700 + 0.383118i \(0.874850\pi\)
\(542\) 34.9892 4.83100i 1.50291 0.207509i
\(543\) 12.8117 + 22.1905i 0.549801 + 0.952283i
\(544\) −1.75872 + 2.96273i −0.0754046 + 0.127026i
\(545\) 1.37209 11.0544i 0.0587738 0.473518i
\(546\) 1.18723 31.7896i 0.0508089 1.36047i
\(547\) 8.52863 + 23.4322i 0.364658 + 1.00189i 0.977361 + 0.211577i \(0.0678598\pi\)
−0.612703 + 0.790313i \(0.709918\pi\)
\(548\) −7.29236 1.85577i −0.311514 0.0792744i
\(549\) 0.352112 + 1.99693i 0.0150278 + 0.0852267i
\(550\) 8.17872 + 0.901456i 0.348742 + 0.0384382i
\(551\) −25.2915 + 15.8281i −1.07745 + 0.674300i
\(552\) 21.7365 + 16.0351i 0.925165 + 0.682500i
\(553\) 0.843862 + 4.78578i 0.0358847 + 0.203512i
\(554\) 1.34471 + 0.844803i 0.0571311 + 0.0358922i
\(555\) 8.13452 + 6.14662i 0.345291 + 0.260909i
\(556\) 10.6784 + 37.9328i 0.452866 + 1.60871i
\(557\) −7.16618 + 8.54033i −0.303641 + 0.361865i −0.896191 0.443668i \(-0.853677\pi\)
0.592550 + 0.805534i \(0.298121\pi\)
\(558\) −2.11376 + 9.82732i −0.0894825 + 0.416023i
\(559\) −9.09749 15.7573i −0.384783 0.666464i
\(560\) 30.2853 2.31401i 1.27979 0.0977846i
\(561\) −0.805758 0.142077i −0.0340191 0.00599849i
\(562\) −7.92388 + 8.75761i −0.334249 + 0.369417i
\(563\) 4.02115 + 2.32161i 0.169471 + 0.0978443i 0.582337 0.812948i \(-0.302139\pi\)
−0.412865 + 0.910792i \(0.635472\pi\)
\(564\) −0.601248 + 8.03835i −0.0253171 + 0.338476i
\(565\) −10.7701 + 2.47155i −0.453103 + 0.103979i
\(566\) 8.45314 6.57140i 0.355312 0.276217i
\(567\) 3.16883 2.65897i 0.133079 0.111666i
\(568\) −39.2033 19.4747i −1.64493 0.817141i
\(569\) 18.7976i 0.788037i 0.919102 + 0.394019i \(0.128915\pi\)
−0.919102 + 0.394019i \(0.871085\pi\)
\(570\) 8.62586 + 13.3718i 0.361298 + 0.560083i
\(571\) 18.0964i 0.757310i −0.925538 0.378655i \(-0.876387\pi\)
0.925538 0.378655i \(-0.123613\pi\)
\(572\) 9.32289 9.56099i 0.389810 0.399765i
\(573\) 3.36195 2.82101i 0.140447 0.117849i
\(574\) −24.6918 31.7624i −1.03062 1.32574i
\(575\) 28.8108 29.6776i 1.20149 1.23764i
\(576\) 5.17592 12.2933i 0.215663 0.512221i
\(577\) 35.5231 + 20.5093i 1.47885 + 0.853813i 0.999714 0.0239294i \(-0.00761768\pi\)
0.479133 + 0.877742i \(0.340951\pi\)
\(578\) 17.4384 + 15.7782i 0.725341 + 0.656288i
\(579\) −15.7264 2.77299i −0.653568 0.115242i
\(580\) −15.9273 + 26.1412i −0.661345 + 1.08545i
\(581\) 10.6097 + 18.3766i 0.440166 + 0.762390i
\(582\) 0.572221 + 0.123079i 0.0237193 + 0.00510179i
\(583\) 7.00928 8.35334i 0.290295 0.345960i
\(584\) 3.79433 + 5.71449i 0.157011 + 0.236467i
\(585\) −12.8968 + 17.0678i −0.533216 + 0.705666i
\(586\) −11.7307 + 18.6723i −0.484592 + 0.771344i
\(587\) 3.49593 + 19.8264i 0.144293 + 0.818324i 0.967932 + 0.251211i \(0.0808287\pi\)
−0.823640 + 0.567113i \(0.808060\pi\)
\(588\) 6.10918 + 8.49482i 0.251938 + 0.350320i
\(589\) −3.87600 18.1736i −0.159708 0.748830i
\(590\) −19.1087 + 23.4177i −0.786694 + 0.964091i
\(591\) 3.78948 + 21.4912i 0.155879 + 0.884031i
\(592\) 5.77613 + 14.7051i 0.237397 + 0.604376i
\(593\) 10.9678 + 30.1339i 0.450395 + 1.23745i 0.932447 + 0.361307i \(0.117669\pi\)
−0.482052 + 0.876142i \(0.660109\pi\)
\(594\) 8.86066 + 0.330915i 0.363557 + 0.0135776i
\(595\) −0.569678 + 4.58968i −0.0233545 + 0.188158i
\(596\) 1.16967 + 11.6725i 0.0479117 + 0.478124i
\(597\) −13.5066 23.3940i −0.552787 0.957454i
\(598\) −9.18139 66.4975i −0.375455 2.71929i
\(599\) −0.874944 + 4.96206i −0.0357493 + 0.202744i −0.997451 0.0713537i \(-0.977268\pi\)
0.961702 + 0.274098i \(0.0883792\pi\)
\(600\) 14.0572 + 8.30259i 0.573882 + 0.338952i
\(601\) 8.06807 + 4.65810i 0.329103 + 0.190008i 0.655443 0.755245i \(-0.272482\pi\)
−0.326340 + 0.945253i \(0.605815\pi\)
\(602\) 14.1058 + 5.73891i 0.574910 + 0.233901i
\(603\) 4.00763 11.0109i 0.163203 0.448397i
\(604\) −8.07887 + 11.8531i −0.328725 + 0.482297i
\(605\) 6.33331 20.6181i 0.257485 0.838247i
\(606\) −27.3372 + 14.4506i −1.11050 + 0.587015i
\(607\) 11.2691i 0.457400i 0.973497 + 0.228700i \(0.0734475\pi\)
−0.973497 + 0.228700i \(0.926552\pi\)
\(608\) 0.578959 + 24.6509i 0.0234799 + 0.999724i
\(609\) −26.8336 −1.08735
\(610\) −3.35667 1.87708i −0.135908 0.0760006i
\(611\) 15.3460 12.8769i 0.620835 0.520942i
\(612\) 1.67827 + 1.14387i 0.0678398 + 0.0462384i
\(613\) −14.3733 + 39.4903i −0.580531 + 1.59500i 0.206744 + 0.978395i \(0.433713\pi\)
−0.787275 + 0.616602i \(0.788509\pi\)
\(614\) −7.20730 + 17.7150i −0.290863 + 0.714920i
\(615\) −1.10329 21.5962i −0.0444890 0.870845i
\(616\) −1.24905 + 11.1068i −0.0503257 + 0.447506i
\(617\) −5.36897 0.946695i −0.216147 0.0381125i 0.0645260 0.997916i \(-0.479446\pi\)
−0.280673 + 0.959804i \(0.590558\pi\)
\(618\) 1.00160 + 7.25420i 0.0402901 + 0.291807i
\(619\) 11.7373 6.77652i 0.471761 0.272372i −0.245215 0.969469i \(-0.578859\pi\)
0.716977 + 0.697097i \(0.245525\pi\)
\(620\) −11.9065 14.8900i −0.478177 0.597997i
\(621\) 28.6505 34.1443i 1.14970 1.37016i
\(622\) 0.770178 20.6225i 0.0308813 0.826885i
\(623\) −6.79907 18.6803i −0.272399 0.748410i
\(624\) 24.6618 9.68710i 0.987263 0.387794i
\(625\) 15.4951 19.6189i 0.619804 0.784756i
\(626\) −9.47972 29.4179i −0.378886 1.17578i
\(627\) −5.42761 + 2.19725i −0.216758 + 0.0877495i
\(628\) −11.2561 15.6516i −0.449166 0.624566i
\(629\) −2.36910 + 0.417736i −0.0944622 + 0.0166562i
\(630\) −0.245530 17.9030i −0.00978215 0.713274i
\(631\) −10.9123 29.9812i −0.434410 1.19353i −0.943079 0.332570i \(-0.892084\pi\)
0.508668 0.860962i \(-0.330138\pi\)
\(632\) −3.37196 + 2.23893i −0.134129 + 0.0890599i
\(633\) 4.45235 5.30611i 0.176965 0.210899i
\(634\) 7.17477 33.3571i 0.284946 1.32478i
\(635\) 0.724311 1.41692i 0.0287434 0.0562289i
\(636\) 19.4921 9.39028i 0.772911 0.372349i
\(637\) 4.51554 25.6089i 0.178912 1.01466i
\(638\) −8.35268 7.55750i −0.330686 0.299204i
\(639\) −12.9020 + 22.3470i −0.510397 + 0.884033i
\(640\) 11.8584 + 22.3468i 0.468745 + 0.883333i
\(641\) −1.83017 + 5.02836i −0.0722875 + 0.198608i −0.970575 0.240801i \(-0.922590\pi\)
0.898287 + 0.439409i \(0.144812\pi\)
\(642\) 23.1586 18.0033i 0.913999 0.710535i
\(643\) −3.56664 + 2.99277i −0.140655 + 0.118023i −0.710400 0.703798i \(-0.751486\pi\)
0.569746 + 0.821821i \(0.307042\pi\)
\(644\) 40.2259 + 39.2241i 1.58512 + 1.54565i
\(645\) 4.44907 + 6.87076i 0.175182 + 0.270536i
\(646\) −3.69638 0.658381i −0.145432 0.0259037i
\(647\) 8.34641 0.328131 0.164066 0.986449i \(-0.447539\pi\)
0.164066 + 0.986449i \(0.447539\pi\)
\(648\) 3.08565 + 1.53283i 0.121216 + 0.0602153i
\(649\) −7.14911 8.51997i −0.280627 0.334438i
\(650\) −9.61643 39.4175i −0.377188 1.54608i
\(651\) 5.71597 15.7045i 0.224027 0.615508i
\(652\) 10.7679 + 0.805415i 0.421705 + 0.0315425i
\(653\) −30.7697 17.7649i −1.20411 0.695194i −0.242645 0.970115i \(-0.578015\pi\)
−0.961467 + 0.274921i \(0.911348\pi\)
\(654\) 6.03077 + 5.45664i 0.235822 + 0.213371i
\(655\) 28.9370 12.2381i 1.13066 0.478181i
\(656\) 16.0173 29.4324i 0.625369 1.14914i
\(657\) 3.50181 2.02177i 0.136619 0.0788769i
\(658\) −3.52573 + 16.3919i −0.137447 + 0.639023i
\(659\) 6.27784 + 5.26774i 0.244550 + 0.205202i 0.756821 0.653622i \(-0.226751\pi\)
−0.512271 + 0.858824i \(0.671196\pi\)
\(660\) −3.96921 + 4.50963i −0.154501 + 0.175537i
\(661\) −12.4986 34.3395i −0.486137 1.33565i −0.904152 0.427211i \(-0.859496\pi\)
0.418015 0.908440i \(-0.362726\pi\)
\(662\) 14.2796 22.7293i 0.554991 0.883401i
\(663\) 0.700582 + 3.97320i 0.0272083 + 0.154306i
\(664\) −10.4920 + 14.2225i −0.407169 + 0.551940i
\(665\) 13.9693 + 30.0065i 0.541707 + 1.16360i
\(666\) 8.86430 2.85646i 0.343485 0.110686i
\(667\) −55.7633 + 9.83258i −2.15916 + 0.380719i
\(668\) −15.5777 3.96422i −0.602718 0.153380i
\(669\) −21.3244 + 7.76144i −0.824448 + 0.300075i
\(670\) 11.3748 + 19.0922i 0.439447 + 0.737596i
\(671\) 0.909670 1.08410i 0.0351174 0.0418513i
\(672\) −11.3200 + 19.0696i −0.436678 + 0.735624i
\(673\) −21.3370 36.9567i −0.822480 1.42458i −0.903830 0.427891i \(-0.859257\pi\)
0.0813503 0.996686i \(-0.474077\pi\)
\(674\) 2.58507 + 18.7227i 0.0995731 + 0.721172i
\(675\) 15.1236 22.2947i 0.582106 0.858123i
\(676\) −36.3245 16.3841i −1.39710 0.630157i
\(677\) 22.0763 38.2373i 0.848462 1.46958i −0.0341193 0.999418i \(-0.510863\pi\)
0.882581 0.470161i \(-0.155804\pi\)
\(678\) 3.04040 7.47308i 0.116766 0.287002i
\(679\) 1.14404 + 0.416397i 0.0439043 + 0.0159799i
\(680\) −3.69330 + 1.09458i −0.141632 + 0.0419750i
\(681\) 4.36095 3.65927i 0.167112 0.140224i
\(682\) 6.20232 3.27858i 0.237499 0.125543i
\(683\) 49.5894i 1.89749i 0.316050 + 0.948743i \(0.397643\pi\)
−0.316050 + 0.948743i \(0.602357\pi\)
\(684\) 14.5242 + 0.567650i 0.555347 + 0.0217047i
\(685\) −4.57273 7.06174i −0.174715 0.269815i
\(686\) −5.53925 10.4790i −0.211490 0.400090i
\(687\) −9.18684 10.9485i −0.350500 0.417710i
\(688\) 0.319804 + 12.6799i 0.0121924 + 0.483416i
\(689\) −50.5275 18.3905i −1.92494 0.700622i
\(690\) 5.65140 + 29.6658i 0.215145 + 1.12936i
\(691\) −43.5161 25.1241i −1.65543 0.955764i −0.974783 0.223154i \(-0.928365\pi\)
−0.680649 0.732610i \(-0.738302\pi\)
\(692\) 29.9731 + 13.5193i 1.13940 + 0.513925i
\(693\) 6.48846 + 1.14409i 0.246476 + 0.0434604i
\(694\) 0.553717 + 4.01037i 0.0210188 + 0.152232i
\(695\) −20.0539 + 39.2301i −0.760687 + 1.48808i
\(696\) −8.94185 20.4831i −0.338940 0.776409i
\(697\) 3.90855 + 3.27966i 0.148047 + 0.124226i
\(698\) 8.35327 + 0.311966i 0.316176 + 0.0118081i
\(699\) −7.02154 + 2.55563i −0.265579 + 0.0966628i
\(700\) 26.6027 + 21.1066i 1.00549 + 0.797755i
\(701\) 3.71103 + 21.0463i 0.140164 + 0.794909i 0.971124 + 0.238576i \(0.0766807\pi\)
−0.830960 + 0.556332i \(0.812208\pi\)
\(702\) −13.4102 41.6151i −0.506135 1.57066i
\(703\) −12.7863 + 11.5288i −0.482246 + 0.434818i
\(704\) −8.89446 + 2.74771i −0.335222 + 0.103558i
\(705\) −6.59924 + 6.13766i −0.248542 + 0.231158i
\(706\) 14.1903 + 8.91494i 0.534058 + 0.335518i
\(707\) −60.4392 + 21.9981i −2.27305 + 0.827322i
\(708\) −5.97981 21.2420i −0.224735 0.798323i
\(709\) −7.20128 6.04259i −0.270450 0.226934i 0.497469 0.867482i \(-0.334263\pi\)
−0.767918 + 0.640548i \(0.778707\pi\)
\(710\) −17.3678 45.7555i −0.651803 1.71717i
\(711\) 1.19299 + 2.06632i 0.0447407 + 0.0774932i
\(712\) 11.9937 11.4149i 0.449482 0.427790i
\(713\) 6.12388 34.7303i 0.229341 1.30066i
\(714\) −2.50392 2.26554i −0.0937067 0.0847859i
\(715\) 14.9108 0.761749i 0.557631 0.0284878i
\(716\) 8.49983 + 0.635766i 0.317654 + 0.0237597i
\(717\) −8.45231 3.07639i −0.315657 0.114890i
\(718\) 19.2582 + 24.7728i 0.718710 + 0.924514i
\(719\) 4.90473 + 5.84523i 0.182916 + 0.217990i 0.849709 0.527253i \(-0.176778\pi\)
−0.666793 + 0.745243i \(0.732333\pi\)
\(720\) 13.5842 6.15331i 0.506254 0.229320i
\(721\) 15.2322i 0.567275i
\(722\) −24.9240 + 10.0397i −0.927575 + 0.373637i
\(723\) −11.2788 −0.419462
\(724\) −30.9914 + 31.7829i −1.15179 + 1.18120i
\(725\) −32.9232 + 9.34680i −1.22274 + 0.347131i
\(726\) 9.66529 + 12.4330i 0.358712 + 0.461431i
\(727\) −36.3564 13.2326i −1.34838 0.490771i −0.435940 0.899976i \(-0.643584\pi\)
−0.912443 + 0.409205i \(0.865806\pi\)
\(728\) 53.5714 12.9440i 1.98549 0.479738i
\(729\) 10.3456 17.9191i 0.383171 0.663671i
\(730\) −1.22803 + 7.57016i −0.0454516 + 0.280184i
\(731\) −1.90200 0.335374i −0.0703481 0.0124043i
\(732\) 2.52969 1.21868i 0.0935002 0.0450436i
\(733\) 14.5205 8.38341i 0.536326 0.309648i −0.207262 0.978285i \(-0.566455\pi\)
0.743589 + 0.668637i \(0.233122\pi\)
\(734\) −2.58789 + 12.0317i −0.0955207 + 0.444097i
\(735\) −1.44098 + 11.6094i −0.0531514 + 0.428220i
\(736\) −16.5366 + 43.7767i −0.609548 + 1.61363i
\(737\) −7.68471 + 2.79700i −0.283070 + 0.103029i
\(738\) −16.7259 10.5079i −0.615687 0.386801i
\(739\) −28.6336 + 5.04888i −1.05331 + 0.185726i −0.673384 0.739293i \(-0.735160\pi\)
−0.379921 + 0.925019i \(0.624049\pi\)
\(740\) −6.43159 + 16.4511i −0.236430 + 0.604755i
\(741\) 19.3349 + 21.4439i 0.710286 + 0.787760i
\(742\) 42.8347 13.8032i 1.57251 0.506731i
\(743\) 24.4719 4.31505i 0.897786 0.158304i 0.294333 0.955703i \(-0.404902\pi\)
0.603452 + 0.797399i \(0.293791\pi\)
\(744\) 13.8926 0.870049i 0.509327 0.0318976i
\(745\) −7.90695 + 10.4642i −0.289688 + 0.383378i
\(746\) −17.9916 0.671925i −0.658720 0.0246009i
\(747\) 7.98096 + 6.69682i 0.292008 + 0.245024i
\(748\) −0.141335 1.41042i −0.00516774 0.0515701i
\(749\) 52.8400 30.5072i 1.93073 1.11471i
\(750\) 5.22529 + 17.4891i 0.190801 + 0.638611i
\(751\) −2.53686 + 14.3873i −0.0925715 + 0.524999i 0.902893 + 0.429865i \(0.141439\pi\)
−0.995465 + 0.0951337i \(0.969672\pi\)
\(752\) −13.6874 + 2.77100i −0.499129 + 0.101048i
\(753\) 5.91692 10.2484i 0.215625 0.373473i
\(754\) −20.9319 + 51.4490i −0.762294 + 1.87366i
\(755\) −15.6313 + 3.58710i −0.568883 + 0.130548i
\(756\) 30.2384 + 20.6099i 1.09976 + 0.749576i
\(757\) −14.2493 16.9817i −0.517900 0.617209i 0.442183 0.896925i \(-0.354204\pi\)
−0.960083 + 0.279716i \(0.909760\pi\)
\(758\) 1.45853 + 2.75920i 0.0529761 + 0.100219i
\(759\) −11.1127 −0.403366
\(760\) −18.2500 + 20.6624i −0.661998 + 0.749506i
\(761\) 24.9823 0.905608 0.452804 0.891610i \(-0.350424\pi\)
0.452804 + 0.891610i \(0.350424\pi\)
\(762\) 0.542971 + 1.02717i 0.0196697 + 0.0372106i
\(763\) 10.8740 + 12.9591i 0.393664 + 0.469150i
\(764\) 6.28276 + 4.28221i 0.227302 + 0.154925i
\(765\) 0.507892 + 2.21322i 0.0183629 + 0.0800190i
\(766\) 1.76736 4.34403i 0.0638571 0.156956i
\(767\) −27.4214 + 47.4953i −0.990130 + 1.71496i
\(768\) −18.3287 2.28636i −0.661379 0.0825018i