Properties

Label 380.2.bb.a.59.19
Level $380$
Weight $2$
Character 380.59
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 59.19
Character \(\chi\) \(=\) 380.59
Dual form 380.2.bb.a.219.19

$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

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

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 −0.508045 0.861331i \(-0.669632\pi\)
0.936466 + 0.350758i \(0.114076\pi\)
\(4\) −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 0.985040 + 0.172326i \(0.0551282\pi\)
−0.343282 + 0.939233i \(0.611539\pi\)
\(8\) 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 0.340322 0.940309i \(-0.389464\pi\)
−0.644170 + 0.764882i \(0.722797\pi\)
\(12\) −2.29734 0.230211i −0.663184 0.0664563i
\(13\) 4.39554 3.68830i 1.21910 1.02295i 0.220232 0.975447i \(-0.429318\pi\)
0.998871 0.0475017i \(-0.0151260\pi\)
\(14\) −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 0.245912 0.969292i \(-0.420913\pi\)
−0.100436 + 0.994944i \(0.532024\pi\)
\(18\) −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 0.983552 0.180623i \(-0.0578115\pi\)
0.637342 + 0.770581i \(0.280034\pi\)
\(24\) 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 −0.759944 0.649989i \(-0.774773\pi\)
−0.491804 + 0.870706i \(0.663662\pi\)
\(30\) −0.584560 3.60349i −0.106726 0.657905i
\(31\) 2.13154 + 3.69194i 0.382836 + 0.663091i 0.991466 0.130363i \(-0.0416141\pi\)
−0.608630 + 0.793454i \(0.708281\pi\)
\(32\) −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 −0.158938 0.987289i \(-0.550807\pi\)
0.999889 0.0149177i \(-0.00474864\pi\)
\(42\) −3.40269 + 4.37705i −0.525046 + 0.675394i
\(43\) −2.97975 + 1.08454i −0.454407 + 0.165391i −0.559076 0.829116i \(-0.688844\pi\)
0.104669 + 0.994507i \(0.466622\pi\)
\(44\) 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 0.996563 + 0.0828346i \(0.0263973\pi\)
−0.908132 + 0.418684i \(0.862492\pi\)
\(48\) 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 −0.343016 0.939330i \(-0.611449\pi\)
−0.866555 + 0.499082i \(0.833671\pi\)
\(54\) −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 −0.662954 0.748660i \(-0.730698\pi\)
0.879030 0.476767i \(-0.158191\pi\)
\(60\) 4.89172 + 1.65071i 0.631518 + 0.213105i
\(61\) −1.14282 0.415954i −0.146324 0.0532575i 0.267820 0.963469i \(-0.413697\pi\)
−0.414144 + 0.910211i \(0.635919\pi\)
\(62\) −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 0.265936 0.963991i \(-0.414319\pi\)
0.579602 + 0.814900i \(0.303208\pi\)
\(68\) −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 −0.998329 0.0577857i \(-0.981596\pi\)
−0.727620 + 0.685980i \(0.759374\pi\)
\(72\) 1.33278 + 4.52362i 0.157070 + 0.533114i
\(73\) 1.55888 1.85780i 0.182453 0.217439i −0.667064 0.745001i \(-0.732449\pi\)
0.849517 + 0.527561i \(0.176894\pi\)
\(74\) 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 0.579033 0.815304i \(-0.303430\pi\)
−0.702370 + 0.711812i \(0.747875\pi\)
\(80\) 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 0.642039 0.766672i \(-0.278089\pi\)
−0.984977 + 0.172686i \(0.944755\pi\)
\(84\) −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 0.927672 0.373397i \(-0.121807\pi\)
−0.528813 + 0.848739i \(0.677363\pi\)
\(90\) 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 −0.981484 0.191544i \(-0.938651\pi\)
0.987805 + 0.155695i \(0.0497618\pi\)
\(98\) −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 −0.506669 + 0.862140i \(0.669124\pi\)
−0.937025 + 0.349263i \(0.886432\pi\)
\(102\) 0.209096 + 0.972131i 0.0207036 + 0.0962553i
\(103\) −3.88456 2.24275i −0.382757 0.220985i 0.296260 0.955107i \(-0.404260\pi\)
−0.679017 + 0.734122i \(0.737594\pi\)
\(104\) 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 0.504264 0.863550i \(-0.331764\pi\)
0.999988 0.00493014i \(-0.00156932\pi\)
\(108\) −0.803779 10.7461i −0.0773436 1.03404i
\(109\) −1.70381 4.68118i −0.163195 0.448376i 0.830960 0.556332i \(-0.187792\pi\)
−0.994156 + 0.107956i \(0.965569\pi\)
\(110\) −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 0.745367 0.666655i \(-0.232274\pi\)
−0.785958 + 0.618279i \(0.787830\pi\)
\(128\) −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 −0.467398 0.884047i \(-0.654809\pi\)
−0.741573 + 0.670873i \(0.765920\pi\)
\(132\) 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 −0.872506 0.488603i \(-0.837507\pi\)
0.982446 + 0.186545i \(0.0597290\pi\)
\(138\) 0.504035 + 13.4961i 0.0429063 + 1.14887i
\(139\) 12.6652 + 15.0938i 1.07425 + 1.28024i 0.957921 + 0.287032i \(0.0926686\pi\)
0.116330 + 0.993211i \(0.462887\pi\)
\(140\) −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 0.808009 0.589171i \(-0.200545\pi\)
−0.439910 + 0.898042i \(0.644990\pi\)
\(150\) −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 −0.998953 0.0457503i \(-0.985432\pi\)
0.735835 0.677161i \(-0.236790\pi\)
\(158\) 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 −0.952166 0.305582i \(-0.901149\pi\)
0.740724 + 0.671809i \(0.234482\pi\)
\(164\) −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 −0.786748 0.617274i \(-0.788237\pi\)
0.999460 + 0.0328528i \(0.0104592\pi\)
\(168\) 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 0.660262 + 0.751035i \(0.270445\pi\)
−0.877312 + 0.479920i \(0.840666\pi\)
\(174\) −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 −0.934606 0.355685i \(-0.884248\pi\)
0.775335 + 0.631550i \(0.217581\pi\)
\(180\) −6.36764 + 3.87967i −0.474616 + 0.289173i
\(181\) 21.8586 3.85426i 1.62474 0.286485i 0.714210 0.699931i \(-0.246786\pi\)
0.910529 + 0.413446i \(0.135675\pi\)
\(182\) −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 \(0.0439193\pi\)
−0.990496 + 0.137539i \(0.956081\pi\)
\(192\) 4.21676 8.21651i 0.304318 0.592975i
\(193\) −10.5966 8.89164i −0.762763 0.640034i 0.176082 0.984376i \(-0.443658\pi\)
−0.938844 + 0.344342i \(0.888102\pi\)
\(194\) 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 0.213562 0.976930i \(-0.431494\pi\)
0.952827 + 0.303515i \(0.0981602\pi\)
\(198\) 1.84090 + 2.03460i 0.130827 + 0.144592i
\(199\) −23.0442 + 4.06332i −1.63356 + 0.288041i −0.913795 0.406176i \(-0.866862\pi\)
−0.719766 + 0.694217i \(0.755751\pi\)
\(200\) 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 0.927711 + 0.373298i \(0.121773\pi\)
−0.999439 + 0.0334896i \(0.989338\pi\)
\(212\) 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 −0.932569 0.360992i \(-0.882438\pi\)
0.482348 0.875980i \(-0.339784\pi\)
\(224\) 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 \(0.0523273\pi\)
−0.986518 + 0.163652i \(0.947673\pi\)
\(228\) −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 0.845815 0.533477i \(-0.179115\pi\)
−0.990844 + 0.135012i \(0.956893\pi\)
\(234\) −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 0.265628 0.964076i \(-0.414421\pi\)
−0.702100 + 0.712078i \(0.747754\pi\)
\(240\) −2.78205 9.94360i −0.179580 0.641857i
\(241\) −6.28008 7.48431i −0.404536 0.482107i 0.524862 0.851188i \(-0.324117\pi\)
−0.929397 + 0.369081i \(0.879673\pi\)
\(242\) 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 −0.999807 0.0196225i \(-0.993754\pi\)
0.778510 + 0.627632i \(0.215976\pi\)
\(252\) 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 0.955725 0.294260i \(-0.0950733\pi\)
−0.998731 + 0.0503629i \(0.983962\pi\)
\(258\) −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 0.815027 0.579422i \(-0.196722\pi\)
−0.429092 + 0.903261i \(0.641166\pi\)
\(264\) −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 −0.262807 0.964849i \(-0.584648\pi\)
0.995826 + 0.0912698i \(0.0290926\pi\)
\(270\) 16.0893 5.60740i 0.979167 0.341255i
\(271\) −8.54223 23.4696i −0.518903 1.42567i −0.871730 0.489986i \(-0.837002\pi\)
0.352827 0.935689i \(-0.385220\pi\)
\(272\) −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 0.470500 0.882400i \(-0.344074\pi\)
−0.528931 + 0.848665i \(0.677407\pi\)
\(278\) −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 −0.995268 0.0971676i \(-0.969022\pi\)
0.824878 + 0.565311i \(0.191244\pi\)
\(282\) −4.82642 + 3.03216i −0.287409 + 0.180563i
\(283\) 1.31468 7.45594i 0.0781498 0.443210i −0.920476 0.390799i \(-0.872199\pi\)
0.998626 0.0524101i \(-0.0166903\pi\)
\(284\) 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 −0.998715 0.0506804i \(-0.983861\pi\)
0.543248 + 0.839572i \(0.317194\pi\)
\(294\) −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 −0.954763 0.297369i \(-0.903891\pi\)
0.458644 + 0.888620i \(0.348335\pi\)
\(308\) −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 −0.0968981 0.995294i \(-0.530892\pi\)
0.813501 + 0.581563i \(0.197559\pi\)
\(312\) −2.09377 18.6182i −0.118537 1.05405i
\(313\) 21.5229 3.79507i 1.21655 0.214510i 0.471709 0.881754i \(-0.343637\pi\)
0.744839 + 0.667244i \(0.232526\pi\)
\(314\) 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 0.0462618 0.998929i \(-0.485269\pi\)
0.991787 + 0.127903i \(0.0408247\pi\)
\(318\) −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 −0.478048 0.878333i \(-0.658656\pi\)
0.999683 0.0251647i \(-0.00801101\pi\)
\(332\) −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 −0.660611 0.750728i \(-0.729703\pi\)
−0.0234985 + 0.999724i \(0.507480\pi\)
\(338\) 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 −0.413213 0.910634i \(-0.635594\pi\)
0.268805 + 0.963195i \(0.413371\pi\)
\(348\) 15.7597 1.17878i 0.844807 0.0631894i
\(349\) −2.95539 5.11888i −0.158198 0.274007i 0.776021 0.630707i \(-0.217235\pi\)
−0.934219 + 0.356700i \(0.883902\pi\)
\(350\) −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 0.201383 0.979512i \(-0.435456\pi\)
−0.747591 + 0.664159i \(0.768790\pi\)
\(354\) 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 −0.435840 0.900024i \(-0.643549\pi\)
−0.717382 + 0.696680i \(0.754660\pi\)
\(360\) −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 −0.799978 0.600030i \(-0.795155\pi\)
0.451999 + 0.892018i \(0.350711\pi\)
\(368\) −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 0.982430 0.186629i \(-0.0597563\pi\)
−0.652841 + 0.757495i \(0.726423\pi\)
\(374\) 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 −0.708830 0.705379i \(-0.750777\pi\)
0.817750 + 0.575574i \(0.195221\pi\)
\(384\) 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 −0.963235 0.268660i \(-0.913419\pi\)
0.813258 0.581903i \(-0.197692\pi\)
\(390\) −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 0.168141 0.985763i \(-0.446224\pi\)
−0.179150 + 0.983822i \(0.557335\pi\)
\(398\) 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 −0.175857 0.984416i \(-0.556270\pi\)
−0.501941 + 0.864902i \(0.667381\pi\)
\(402\) 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 0.148339 0.988937i \(-0.452607\pi\)
0.477629 + 0.878562i \(0.341496\pi\)
\(410\) −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 \(0.314219\pi\)
−0.551073 + 0.834457i \(0.685781\pi\)
\(420\) 3.45124 + 17.1889i 0.168403 + 0.838732i
\(421\) −12.8956 + 15.3684i −0.628495 + 0.749012i −0.982506 0.186230i \(-0.940373\pi\)
0.354011 + 0.935241i \(0.384818\pi\)
\(422\) −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 −0.0967944 0.995304i \(-0.530859\pi\)
0.963375 + 0.268157i \(0.0864145\pi\)
\(432\) −16.8540 + 13.4328i −0.810887 + 0.646286i
\(433\) −22.3518 8.13540i −1.07416 0.390963i −0.256430 0.966563i \(-0.582546\pi\)
−0.817731 + 0.575600i \(0.804768\pi\)
\(434\) −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 −0.992277 0.124043i \(-0.960414\pi\)
0.974860 + 0.222817i \(0.0715251\pi\)
\(440\) 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 −0.251941 0.967743i \(-0.581069\pi\)
0.909291 + 0.416160i \(0.136624\pi\)
\(444\) 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 0.201648 0.979458i \(-0.435370\pi\)
0.949060 + 0.315097i \(0.102037\pi\)
\(450\) −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 \(-0.999766\pi\)
1.00000 0.000736192i \(-0.000234337\pi\)
\(458\) 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 −0.787960 0.615727i \(-0.788863\pi\)
−0.207831 + 0.978165i \(0.566640\pi\)
\(462\) 5.97574 2.43121i 0.278017 0.113110i
\(463\) −5.71176 9.89306i −0.265448 0.459770i 0.702233 0.711947i \(-0.252187\pi\)
−0.967681 + 0.252178i \(0.918853\pi\)
\(464\) 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 −0.997369 0.0724984i \(-0.976903\pi\)
0.561470 + 0.827497i \(0.310236\pi\)
\(468\) 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 −0.949379 0.314133i \(-0.898286\pi\)
0.929187 + 0.369610i \(0.120509\pi\)
\(480\) 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 −0.883905 0.467667i \(-0.845095\pi\)
−0.0369412 + 0.999317i \(0.511761\pi\)
\(488\) −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 −0.916599 0.399807i \(-0.869077\pi\)
0.552899 + 0.833248i \(0.313522\pi\)
\(492\) −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 −0.878284 0.478139i \(-0.841311\pi\)
0.365463 0.930826i \(-0.380911\pi\)
\(500\) −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 0.740778 + 0.671750i \(0.234457\pi\)
−0.466352 + 0.884599i \(0.654432\pi\)
\(504\) −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 −0.766532 0.642206i \(-0.778019\pi\)
1.00000 0.000758854i \(0.000241551\pi\)
\(510\) 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 0.379812 0.925064i \(-0.375989\pi\)
−0.611223 + 0.791459i \(0.709322\pi\)
\(522\) 15.9881 + 2.20749i 0.699778 + 0.0966192i
\(523\) −11.2974 + 1.99204i −0.494001 + 0.0871058i −0.415098 0.909777i \(-0.636253\pi\)
−0.0789030 + 0.996882i \(0.525142\pi\)
\(524\) 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 −0.923700 0.383118i \(-0.874850\pi\)
0.736960 0.675937i \(-0.236261\pi\)
\(542\) 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 −0.612703 0.790313i \(-0.709918\pi\)
0.977361 0.211577i \(-0.0678598\pi\)
\(548\) −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 0.592550 0.805534i \(-0.298121\pi\)
−0.896191 + 0.443668i \(0.853677\pi\)
\(558\) −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 −0.412865 0.910792i \(-0.635472\pi\)
0.582337 + 0.812948i \(0.302139\pi\)
\(564\) −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 \(-0.871085\pi\)
0.919102 0.394019i \(-0.128915\pi\)
\(570\) 8.62586 13.3718i 0.361298 0.560083i
\(571\) 18.0964i 0.757310i 0.925538 + 0.378655i \(0.123613\pi\)
−0.925538 + 0.378655i \(0.876387\pi\)
\(572\) 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 0.479133 0.877742i \(-0.340951\pi\)
0.999714 + 0.0239294i \(0.00761768\pi\)
\(578\) 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 −0.823640 0.567113i \(-0.808060\pi\)
0.967932 0.251211i \(-0.0808287\pi\)
\(588\) 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 −0.482052 0.876142i \(-0.660109\pi\)
0.932447 0.361307i \(-0.117669\pi\)
\(594\) 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 0.961702 0.274098i \(-0.0883792\pi\)
−0.997451 + 0.0713537i \(0.977268\pi\)
\(600\) 14.0572 8.30259i 0.573882 0.338952i
\(601\) 8.06807 4.65810i 0.329103 0.190008i −0.326340 0.945253i \(-0.605815\pi\)
0.655443 + 0.755245i \(0.272482\pi\)
\(602\) 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 \(-0.926552\pi\)
0.973497 0.228700i \(-0.0734475\pi\)
\(608\) 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 −0.787275 0.616602i \(-0.788509\pi\)
0.206744 0.978395i \(-0.433713\pi\)
\(614\) −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 −0.280673 0.959804i \(-0.590558\pi\)
0.0645260 + 0.997916i \(0.479446\pi\)
\(618\) 1.00160 7.25420i 0.0402901 0.291807i
\(619\) 11.7373 + 6.77652i 0.471761 + 0.272372i 0.716977 0.697097i \(-0.245525\pi\)
−0.245215 + 0.969469i \(0.578859\pi\)
\(620\) −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 0.508668 + 0.860962i \(0.330138\pi\)
−0.943079 + 0.332570i \(0.892084\pi\)
\(632\) −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 0.898287 0.439409i \(-0.144812\pi\)
−0.970575 + 0.240801i \(0.922590\pi\)
\(642\) 23.1586 + 18.0033i 0.913999 + 0.710535i
\(643\) −3.56664 2.99277i −0.140655 0.118023i 0.569746 0.821821i \(-0.307042\pi\)
−0.710400 + 0.703798i \(0.751486\pi\)
\(644\) 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 −0.961467 0.274921i \(-0.911348\pi\)
−0.242645 + 0.970115i \(0.578015\pi\)
\(654\) 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 −0.512271 0.858824i \(-0.671196\pi\)
0.756821 + 0.653622i \(0.226751\pi\)
\(660\) −3.96921 4.50963i −0.154501 0.175537i
\(661\) −12.4986 + 34.3395i −0.486137 + 1.33565i 0.418015 + 0.908440i \(0.362726\pi\)
−0.904152 + 0.427211i \(0.859496\pi\)
\(662\) 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 0.0813503 + 0.996686i \(0.474077\pi\)
−0.903830 + 0.427891i \(0.859257\pi\)
\(674\) 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 0.882581 + 0.470161i \(0.155804\pi\)
−0.0341193 + 0.999418i \(0.510863\pi\)
\(678\) 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 \(-0.602357\pi\)
0.316050 0.948743i \(-0.397643\pi\)
\(684\) 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 −0.680649 + 0.732610i \(0.738302\pi\)
−0.974783 + 0.223154i \(0.928365\pi\)
\(692\) 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 −0.830960 0.556332i \(-0.812208\pi\)
0.971124 0.238576i \(-0.0766807\pi\)
\(702\) −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 −0.767918 0.640548i \(-0.778707\pi\)
0.497469 + 0.867482i \(0.334263\pi\)
\(710\) −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 −0.666793 0.745243i \(-0.732333\pi\)
0.849709 + 0.527253i \(0.176778\pi\)
\(720\) 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 −0.912443 0.409205i \(-0.865806\pi\)
−0.435940 + 0.899976i \(0.643584\pi\)
\(728\) 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 0.743589 0.668637i \(-0.233122\pi\)
−0.207262 + 0.978285i \(0.566455\pi\)
\(734\) −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 −0.379921 0.925019i \(-0.624049\pi\)
−0.673384 + 0.739293i \(0.735160\pi\)
\(740\) −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 0.603452 0.797399i \(-0.293791\pi\)
0.294333 + 0.955703i \(0.404902\pi\)
\(744\) 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 −0.995465 0.0951337i \(-0.969672\pi\)
0.902893 0.429865i \(-0.141439\pi\)
\(752\) −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 −0.960083 0.279716i \(-0.909760\pi\)
0.442183 + 0.896925i \(0.354204\pi\)
\(758\) 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