Properties

Label 378.2.z.a.83.10
Level $378$
Weight $2$
Character 378.83
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [378,2,Mod(41,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([17, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.z (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(24\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 83.10
Character \(\chi\) \(=\) 378.83
Dual form 378.2.z.a.41.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.984808 - 0.173648i) q^{2} +(1.34465 + 1.09174i) q^{3} +(0.939693 + 0.342020i) q^{4} +(2.60134 - 2.18278i) q^{5} +(-1.13465 - 1.30865i) q^{6} +(1.18236 + 2.36686i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.616190 + 2.93604i) q^{9} +O(q^{10})\) \(q+(-0.984808 - 0.173648i) q^{2} +(1.34465 + 1.09174i) q^{3} +(0.939693 + 0.342020i) q^{4} +(2.60134 - 2.18278i) q^{5} +(-1.13465 - 1.30865i) q^{6} +(1.18236 + 2.36686i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.616190 + 2.93604i) q^{9} +(-2.94085 + 1.69790i) q^{10} +(0.604733 - 0.720693i) q^{11} +(0.890163 + 1.48580i) q^{12} +(0.436415 - 0.0769517i) q^{13} +(-0.753398 - 2.53622i) q^{14} +(5.88094 - 0.0950914i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-1.11282 - 1.92746i) q^{17} +(-0.0969913 - 2.99843i) q^{18} +(-6.85516 - 3.95783i) q^{19} +(3.19101 - 1.16143i) q^{20} +(-0.994137 + 4.47344i) q^{21} +(-0.720693 + 0.604733i) q^{22} +(-0.171072 + 0.470016i) q^{23} +(-0.618633 - 1.61781i) q^{24} +(1.13418 - 6.43225i) q^{25} -0.443147 q^{26} +(-2.37684 + 4.62068i) q^{27} +(0.301543 + 2.62851i) q^{28} +(8.00322 + 1.41118i) q^{29} +(-5.80810 - 0.927567i) q^{30} +(-2.68497 + 7.37690i) q^{31} +(-0.642788 - 0.766044i) q^{32} +(1.59997 - 0.308869i) q^{33} +(0.761215 + 2.09142i) q^{34} +(8.24205 + 3.57616i) q^{35} +(-0.425154 + 2.96972i) q^{36} +(-0.250369 - 0.433653i) q^{37} +(6.06375 + 5.08809i) q^{38} +(0.670839 + 0.372980i) q^{39} +(-3.34421 + 0.589675i) q^{40} +(-1.16708 - 6.61885i) q^{41} +(1.75584 - 4.23285i) q^{42} +(3.79011 + 3.18028i) q^{43} +(0.814755 - 0.470399i) q^{44} +(8.01164 + 6.29261i) q^{45} +(0.250090 - 0.433169i) q^{46} +(-2.17304 + 0.790920i) q^{47} +(0.328305 + 1.70065i) q^{48} +(-4.20404 + 5.59697i) q^{49} +(-2.23390 + 6.13758i) q^{50} +(0.607937 - 3.80669i) q^{51} +(0.436415 + 0.0769517i) q^{52} -7.36731i q^{53} +(3.14310 - 4.13774i) q^{54} -3.19476i q^{55} +(0.159475 - 2.64094i) q^{56} +(-4.89689 - 12.8060i) q^{57} +(-7.63658 - 2.77949i) q^{58} +(0.00253927 - 0.00213070i) q^{59} +(5.55879 + 1.92204i) q^{60} +(-4.17042 - 11.4581i) q^{61} +(3.92517 - 6.79859i) q^{62} +(-6.22063 + 4.92989i) q^{63} +(0.500000 + 0.866025i) q^{64} +(0.967293 - 1.15278i) q^{65} +(-1.62930 + 0.0263448i) q^{66} +(2.67026 + 15.1438i) q^{67} +(-0.386479 - 2.19183i) q^{68} +(-0.743170 + 0.445243i) q^{69} +(-7.49584 - 4.95305i) q^{70} +(-10.3605 + 5.98164i) q^{71} +(0.934382 - 2.85078i) q^{72} +(3.87195 + 2.23547i) q^{73} +(0.171263 + 0.470541i) q^{74} +(8.54745 - 7.41092i) q^{75} +(-5.08809 - 6.06375i) q^{76} +(2.42079 + 0.579199i) q^{77} +(-0.595880 - 0.483804i) q^{78} +(1.93918 - 10.9977i) q^{79} +3.39580 q^{80} +(-8.24062 + 3.61831i) q^{81} +6.72095i q^{82} +(2.34318 - 13.2888i) q^{83} +(-2.46419 + 3.86365i) q^{84} +(-7.10206 - 2.58494i) q^{85} +(-3.18028 - 3.79011i) q^{86} +(9.22091 + 10.6350i) q^{87} +(-0.884061 + 0.321772i) q^{88} +(-4.96971 + 8.60779i) q^{89} +(-6.79722 - 7.58822i) q^{90} +(0.698134 + 0.941948i) q^{91} +(-0.321510 + 0.383161i) q^{92} +(-11.6641 + 6.98808i) q^{93} +(2.27736 - 0.401561i) q^{94} +(-26.4717 + 4.66767i) q^{95} +(-0.0280026 - 1.73182i) q^{96} +(-1.02275 + 1.21886i) q^{97} +(5.11208 - 4.78191i) q^{98} +(2.48861 + 1.33143i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 24 q^{21} - 60 q^{23} + 12 q^{29} - 72 q^{30} + 54 q^{35} - 12 q^{36} + 48 q^{39} + 24 q^{42} + 18 q^{49} - 60 q^{50} - 36 q^{51} + 6 q^{56} - 60 q^{57} - 36 q^{60} - 78 q^{63} + 72 q^{64} - 120 q^{65} + 36 q^{70} - 72 q^{71} - 24 q^{72} - 36 q^{74} + 66 q^{77} - 60 q^{78} - 72 q^{79} + 12 q^{84} - 72 q^{85} - 48 q^{86} - 18 q^{91} + 12 q^{92} + 24 q^{93} - 120 q^{95} + 36 q^{98} + 144 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984808 0.173648i −0.696364 0.122788i
\(3\) 1.34465 + 1.09174i 0.776336 + 0.630319i
\(4\) 0.939693 + 0.342020i 0.469846 + 0.171010i
\(5\) 2.60134 2.18278i 1.16335 0.976169i 0.163407 0.986559i \(-0.447752\pi\)
0.999946 + 0.0103897i \(0.00330721\pi\)
\(6\) −1.13465 1.30865i −0.463218 0.534256i
\(7\) 1.18236 + 2.36686i 0.446891 + 0.894589i
\(8\) −0.866025 0.500000i −0.306186 0.176777i
\(9\) 0.616190 + 2.93604i 0.205397 + 0.978679i
\(10\) −2.94085 + 1.69790i −0.929979 + 0.536924i
\(11\) 0.604733 0.720693i 0.182334 0.217297i −0.667134 0.744938i \(-0.732479\pi\)
0.849467 + 0.527641i \(0.176923\pi\)
\(12\) 0.890163 + 1.48580i 0.256968 + 0.428914i
\(13\) 0.436415 0.0769517i 0.121040 0.0213426i −0.112800 0.993618i \(-0.535982\pi\)
0.233840 + 0.972275i \(0.424871\pi\)
\(14\) −0.753398 2.53622i −0.201354 0.677832i
\(15\) 5.88094 0.0950914i 1.51845 0.0245525i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) −1.11282 1.92746i −0.269899 0.467479i 0.698936 0.715184i \(-0.253657\pi\)
−0.968836 + 0.247705i \(0.920324\pi\)
\(18\) −0.0969913 2.99843i −0.0228611 0.706737i
\(19\) −6.85516 3.95783i −1.57268 0.907988i −0.995839 0.0911335i \(-0.970951\pi\)
−0.576843 0.816855i \(-0.695716\pi\)
\(20\) 3.19101 1.16143i 0.713532 0.259704i
\(21\) −0.994137 + 4.47344i −0.216939 + 0.976185i
\(22\) −0.720693 + 0.604733i −0.153652 + 0.128930i
\(23\) −0.171072 + 0.470016i −0.0356710 + 0.0980051i −0.956250 0.292552i \(-0.905495\pi\)
0.920579 + 0.390557i \(0.127718\pi\)
\(24\) −0.618633 1.61781i −0.126278 0.330233i
\(25\) 1.13418 6.43225i 0.226836 1.28645i
\(26\) −0.443147 −0.0869084
\(27\) −2.37684 + 4.62068i −0.457423 + 0.889249i
\(28\) 0.301543 + 2.62851i 0.0569862 + 0.496742i
\(29\) 8.00322 + 1.41118i 1.48616 + 0.262050i 0.857037 0.515255i \(-0.172303\pi\)
0.629123 + 0.777305i \(0.283414\pi\)
\(30\) −5.80810 0.927567i −1.06041 0.169350i
\(31\) −2.68497 + 7.37690i −0.482236 + 1.32493i 0.425337 + 0.905035i \(0.360156\pi\)
−0.907572 + 0.419896i \(0.862067\pi\)
\(32\) −0.642788 0.766044i −0.113630 0.135419i
\(33\) 1.59997 0.308869i 0.278519 0.0537672i
\(34\) 0.761215 + 2.09142i 0.130547 + 0.358676i
\(35\) 8.24205 + 3.57616i 1.39316 + 0.604482i
\(36\) −0.425154 + 2.96972i −0.0708591 + 0.494954i
\(37\) −0.250369 0.433653i −0.0411605 0.0712920i 0.844711 0.535222i \(-0.179772\pi\)
−0.885872 + 0.463930i \(0.846439\pi\)
\(38\) 6.06375 + 5.08809i 0.983670 + 0.825397i
\(39\) 0.670839 + 0.372980i 0.107420 + 0.0597246i
\(40\) −3.34421 + 0.589675i −0.528767 + 0.0932358i
\(41\) −1.16708 6.61885i −0.182268 1.03369i −0.929416 0.369033i \(-0.879689\pi\)
0.747149 0.664657i \(-0.231422\pi\)
\(42\) 1.75584 4.23285i 0.270932 0.653143i
\(43\) 3.79011 + 3.18028i 0.577987 + 0.484988i 0.884285 0.466947i \(-0.154646\pi\)
−0.306299 + 0.951935i \(0.599091\pi\)
\(44\) 0.814755 0.470399i 0.122829 0.0709153i
\(45\) 8.01164 + 6.29261i 1.19430 + 0.938047i
\(46\) 0.250090 0.433169i 0.0368738 0.0638673i
\(47\) −2.17304 + 0.790920i −0.316970 + 0.115368i −0.495606 0.868548i \(-0.665054\pi\)
0.178636 + 0.983915i \(0.442832\pi\)
\(48\) 0.328305 + 1.70065i 0.0473868 + 0.245468i
\(49\) −4.20404 + 5.59697i −0.600578 + 0.799566i
\(50\) −2.23390 + 6.13758i −0.315921 + 0.867985i
\(51\) 0.607937 3.80669i 0.0851282 0.533043i
\(52\) 0.436415 + 0.0769517i 0.0605199 + 0.0106713i
\(53\) 7.36731i 1.01198i −0.862540 0.505989i \(-0.831128\pi\)
0.862540 0.505989i \(-0.168872\pi\)
\(54\) 3.14310 4.13774i 0.427722 0.563076i
\(55\) 3.19476i 0.430782i
\(56\) 0.159475 2.64094i 0.0213107 0.352911i
\(57\) −4.89689 12.8060i −0.648608 1.69620i
\(58\) −7.63658 2.77949i −1.00273 0.364965i
\(59\) 0.00253927 0.00213070i 0.000330585 0.000277394i −0.642622 0.766183i \(-0.722154\pi\)
0.642953 + 0.765906i \(0.277709\pi\)
\(60\) 5.55879 + 1.92204i 0.717637 + 0.248135i
\(61\) −4.17042 11.4581i −0.533967 1.46706i −0.854311 0.519762i \(-0.826021\pi\)
0.320344 0.947301i \(-0.396202\pi\)
\(62\) 3.92517 6.79859i 0.498497 0.863422i
\(63\) −6.22063 + 4.92989i −0.783725 + 0.621108i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) 0.967293 1.15278i 0.119978 0.142984i
\(66\) −1.62930 + 0.0263448i −0.200553 + 0.00324282i
\(67\) 2.67026 + 15.1438i 0.326225 + 1.85011i 0.500927 + 0.865490i \(0.332993\pi\)
−0.174702 + 0.984621i \(0.555896\pi\)
\(68\) −0.386479 2.19183i −0.0468675 0.265799i
\(69\) −0.743170 + 0.445243i −0.0894671 + 0.0536009i
\(70\) −7.49584 4.95305i −0.895925 0.592003i
\(71\) −10.3605 + 5.98164i −1.22956 + 0.709889i −0.966939 0.255008i \(-0.917922\pi\)
−0.262626 + 0.964898i \(0.584588\pi\)
\(72\) 0.934382 2.85078i 0.110118 0.335967i
\(73\) 3.87195 + 2.23547i 0.453177 + 0.261642i 0.709171 0.705036i \(-0.249069\pi\)
−0.255994 + 0.966678i \(0.582403\pi\)
\(74\) 0.171263 + 0.470541i 0.0199089 + 0.0546992i
\(75\) 8.54745 7.41092i 0.986975 0.855740i
\(76\) −5.08809 6.06375i −0.583644 0.695559i
\(77\) 2.42079 + 0.579199i 0.275875 + 0.0660058i
\(78\) −0.595880 0.483804i −0.0674701 0.0547800i
\(79\) 1.93918 10.9977i 0.218175 1.23733i −0.657135 0.753773i \(-0.728232\pi\)
0.875311 0.483561i \(-0.160657\pi\)
\(80\) 3.39580 0.379662
\(81\) −8.24062 + 3.61831i −0.915624 + 0.402035i
\(82\) 6.72095i 0.742205i
\(83\) 2.34318 13.2888i 0.257197 1.45864i −0.533172 0.846007i \(-0.679000\pi\)
0.790369 0.612631i \(-0.209889\pi\)
\(84\) −2.46419 + 3.86365i −0.268865 + 0.421558i
\(85\) −7.10206 2.58494i −0.770326 0.280376i
\(86\) −3.18028 3.79011i −0.342939 0.408698i
\(87\) 9.22091 + 10.6350i 0.988585 + 1.14019i
\(88\) −0.884061 + 0.321772i −0.0942412 + 0.0343010i
\(89\) −4.96971 + 8.60779i −0.526788 + 0.912424i 0.472724 + 0.881210i \(0.343271\pi\)
−0.999513 + 0.0312137i \(0.990063\pi\)
\(90\) −6.79722 7.58822i −0.716490 0.799868i
\(91\) 0.698134 + 0.941948i 0.0731843 + 0.0987430i
\(92\) −0.321510 + 0.383161i −0.0335197 + 0.0399473i
\(93\) −11.6641 + 6.98808i −1.20951 + 0.724630i
\(94\) 2.27736 0.401561i 0.234892 0.0414178i
\(95\) −26.4717 + 4.66767i −2.71593 + 0.478893i
\(96\) −0.0280026 1.73182i −0.00285801 0.176754i
\(97\) −1.02275 + 1.21886i −0.103844 + 0.123757i −0.815463 0.578809i \(-0.803518\pi\)
0.711619 + 0.702565i \(0.247962\pi\)
\(98\) 5.11208 4.78191i 0.516398 0.483046i
\(99\) 2.48861 + 1.33143i 0.250115 + 0.133814i
\(100\) 3.26574 5.65643i 0.326574 0.565643i
\(101\) −13.3280 + 4.85099i −1.32619 + 0.482692i −0.905435 0.424485i \(-0.860455\pi\)
−0.420750 + 0.907177i \(0.638233\pi\)
\(102\) −1.25973 + 3.64329i −0.124731 + 0.360740i
\(103\) −6.25058 7.44915i −0.615888 0.733987i 0.364470 0.931215i \(-0.381250\pi\)
−0.980358 + 0.197229i \(0.936806\pi\)
\(104\) −0.416422 0.151565i −0.0408336 0.0148622i
\(105\) 7.17846 + 13.8069i 0.700546 + 1.34742i
\(106\) −1.27932 + 7.25539i −0.124259 + 0.704705i
\(107\) 10.6751i 1.03200i −0.856588 0.516001i \(-0.827420\pi\)
0.856588 0.516001i \(-0.172580\pi\)
\(108\) −3.81386 + 3.52909i −0.366989 + 0.339587i
\(109\) −3.06313 −0.293395 −0.146697 0.989181i \(-0.546864\pi\)
−0.146697 + 0.989181i \(0.546864\pi\)
\(110\) −0.554765 + 3.14623i −0.0528948 + 0.299981i
\(111\) 0.136777 0.856452i 0.0129823 0.0812908i
\(112\) −0.615646 + 2.57313i −0.0581731 + 0.243138i
\(113\) −8.27791 9.86522i −0.778720 0.928042i 0.220155 0.975465i \(-0.429344\pi\)
−0.998875 + 0.0474227i \(0.984899\pi\)
\(114\) 2.59875 + 13.4618i 0.243396 + 1.26081i
\(115\) 0.580927 + 1.59608i 0.0541717 + 0.148835i
\(116\) 7.03791 + 4.06334i 0.653454 + 0.377272i
\(117\) 0.494848 + 1.23391i 0.0457487 + 0.114075i
\(118\) −0.00287069 + 0.00165739i −0.000264268 + 0.000152575i
\(119\) 3.24628 4.91285i 0.297586 0.450361i
\(120\) −5.14059 2.85812i −0.469269 0.260909i
\(121\) 1.75643 + 9.96123i 0.159676 + 0.905567i
\(122\) 2.11738 + 12.0082i 0.191698 + 1.08717i
\(123\) 5.65677 10.1742i 0.510053 0.917378i
\(124\) −5.04610 + 6.01371i −0.453153 + 0.540047i
\(125\) −2.60030 4.50386i −0.232578 0.402837i
\(126\) 6.98219 3.77479i 0.622023 0.336285i
\(127\) 2.00102 3.46586i 0.177562 0.307546i −0.763483 0.645828i \(-0.776512\pi\)
0.941045 + 0.338282i \(0.109846\pi\)
\(128\) −0.342020 0.939693i −0.0302306 0.0830579i
\(129\) 1.62434 + 8.41421i 0.143015 + 0.740830i
\(130\) −1.15278 + 0.967293i −0.101105 + 0.0848372i
\(131\) −2.04658 0.744896i −0.178811 0.0650819i 0.251063 0.967971i \(-0.419220\pi\)
−0.429874 + 0.902889i \(0.641442\pi\)
\(132\) 1.60912 + 0.256980i 0.140056 + 0.0223672i
\(133\) 1.26235 20.9048i 0.109459 1.81267i
\(134\) 15.3774i 1.32841i
\(135\) 3.90297 + 17.2080i 0.335914 + 1.48103i
\(136\) 2.22564i 0.190847i
\(137\) 0.365105 + 0.0643778i 0.0311930 + 0.00550017i 0.189223 0.981934i \(-0.439403\pi\)
−0.158030 + 0.987434i \(0.550514\pi\)
\(138\) 0.809195 0.309428i 0.0688833 0.0263403i
\(139\) 2.62642 7.21603i 0.222770 0.612056i −0.777079 0.629403i \(-0.783300\pi\)
0.999850 + 0.0173467i \(0.00552191\pi\)
\(140\) 6.52188 + 6.17944i 0.551199 + 0.522258i
\(141\) −3.78546 1.30888i −0.318794 0.110228i
\(142\) 11.2418 4.09168i 0.943391 0.343366i
\(143\) 0.208456 0.361056i 0.0174320 0.0301931i
\(144\) −1.41522 + 2.64521i −0.117935 + 0.220434i
\(145\) 23.8994 13.7983i 1.98473 1.14589i
\(146\) −3.42494 2.87387i −0.283450 0.237843i
\(147\) −11.7634 + 2.93624i −0.970232 + 0.242177i
\(148\) −0.0869524 0.493131i −0.00714744 0.0405352i
\(149\) −1.33021 + 0.234552i −0.108975 + 0.0192153i −0.227870 0.973692i \(-0.573176\pi\)
0.118895 + 0.992907i \(0.462065\pi\)
\(150\) −9.70449 + 5.81408i −0.792368 + 0.474718i
\(151\) 1.44238 + 1.21030i 0.117379 + 0.0984928i 0.699588 0.714547i \(-0.253367\pi\)
−0.582209 + 0.813039i \(0.697811\pi\)
\(152\) 3.95783 + 6.85516i 0.321022 + 0.556027i
\(153\) 4.97340 4.45497i 0.402075 0.360163i
\(154\) −2.28344 0.990765i −0.184005 0.0798381i
\(155\) 9.11764 + 25.0505i 0.732347 + 2.01211i
\(156\) 0.502816 + 0.579927i 0.0402575 + 0.0464313i
\(157\) −7.04611 8.39723i −0.562341 0.670172i 0.407699 0.913116i \(-0.366331\pi\)
−0.970040 + 0.242944i \(0.921887\pi\)
\(158\) −3.81945 + 10.4938i −0.303859 + 0.834846i
\(159\) 8.04322 9.90649i 0.637869 0.785636i
\(160\) −3.34421 0.589675i −0.264383 0.0466179i
\(161\) −1.31473 + 0.150826i −0.103615 + 0.0118867i
\(162\) 8.74374 2.13237i 0.686973 0.167535i
\(163\) 18.9873 1.48720 0.743602 0.668623i \(-0.233116\pi\)
0.743602 + 0.668623i \(0.233116\pi\)
\(164\) 1.16708 6.61885i 0.0911338 0.516845i
\(165\) 3.48786 4.29585i 0.271530 0.334432i
\(166\) −4.61516 + 12.6801i −0.358206 + 0.984163i
\(167\) −13.2165 + 11.0900i −1.02272 + 0.858168i −0.989967 0.141295i \(-0.954873\pi\)
−0.0327573 + 0.999463i \(0.510429\pi\)
\(168\) 3.09767 3.37705i 0.238990 0.260545i
\(169\) −12.0315 + 4.37910i −0.925498 + 0.336854i
\(170\) 6.54529 + 3.77893i 0.502001 + 0.289830i
\(171\) 7.39625 22.5658i 0.565605 1.72565i
\(172\) 2.47382 + 4.28478i 0.188627 + 0.326711i
\(173\) −8.32627 6.98657i −0.633035 0.531179i 0.268835 0.963186i \(-0.413361\pi\)
−0.901870 + 0.432007i \(0.857806\pi\)
\(174\) −7.23407 12.0746i −0.548414 0.915376i
\(175\) 16.5652 4.92080i 1.25221 0.371978i
\(176\) 0.926505 0.163368i 0.0698379 0.0123143i
\(177\) 0.00574062 9.28227e-5i 0.000431492 6.97698e-6i
\(178\) 6.38894 7.61404i 0.478871 0.570696i
\(179\) 7.43780 4.29421i 0.555927 0.320965i −0.195582 0.980687i \(-0.562660\pi\)
0.751509 + 0.659723i \(0.229326\pi\)
\(180\) 5.37628 + 8.65326i 0.400724 + 0.644976i
\(181\) 6.94977 + 4.01245i 0.516572 + 0.298243i 0.735531 0.677491i \(-0.236933\pi\)
−0.218959 + 0.975734i \(0.570266\pi\)
\(182\) −0.523960 1.04887i −0.0388385 0.0777472i
\(183\) 6.90157 19.9603i 0.510179 1.47550i
\(184\) 0.383161 0.321510i 0.0282470 0.0237020i
\(185\) −1.59786 0.581575i −0.117477 0.0427582i
\(186\) 12.7003 4.85648i 0.931232 0.356094i
\(187\) −2.06207 0.363599i −0.150794 0.0265890i
\(188\) −2.31250 −0.168656
\(189\) −13.7468 0.162332i −0.999930 0.0118079i
\(190\) 26.8800 1.95008
\(191\) 21.8549 + 3.85361i 1.58136 + 0.278837i 0.894201 0.447666i \(-0.147745\pi\)
0.687163 + 0.726503i \(0.258856\pi\)
\(192\) −0.273151 + 1.71038i −0.0197130 + 0.123436i
\(193\) 23.8391 + 8.67673i 1.71598 + 0.624565i 0.997479 0.0709632i \(-0.0226073\pi\)
0.718499 + 0.695528i \(0.244830\pi\)
\(194\) 1.21886 1.02275i 0.0875091 0.0734289i
\(195\) 2.55921 0.494048i 0.183269 0.0353795i
\(196\) −5.86478 + 3.82156i −0.418913 + 0.272969i
\(197\) 1.35235 + 0.780778i 0.0963507 + 0.0556281i 0.547401 0.836870i \(-0.315617\pi\)
−0.451050 + 0.892498i \(0.648951\pi\)
\(198\) −2.21960 1.74335i −0.157740 0.123894i
\(199\) −13.8280 + 7.98362i −0.980244 + 0.565944i −0.902344 0.431017i \(-0.858155\pi\)
−0.0778999 + 0.996961i \(0.524821\pi\)
\(200\) −4.19835 + 5.00340i −0.296869 + 0.353794i
\(201\) −12.9426 + 23.2784i −0.912900 + 1.64193i
\(202\) 13.9679 2.46291i 0.982777 0.173290i
\(203\) 6.12262 + 20.6110i 0.429724 + 1.44661i
\(204\) 1.87324 3.36919i 0.131153 0.235891i
\(205\) −17.4835 14.6704i −1.22110 1.02462i
\(206\) 4.86209 + 8.42138i 0.338758 + 0.586746i
\(207\) −1.48540 0.212654i −0.103242 0.0147805i
\(208\) 0.383777 + 0.221574i 0.0266101 + 0.0153634i
\(209\) −6.99792 + 2.54704i −0.484056 + 0.176182i
\(210\) −4.67186 14.8437i −0.322389 1.02431i
\(211\) −19.9260 + 16.7199i −1.37176 + 1.15105i −0.399616 + 0.916683i \(0.630857\pi\)
−0.972149 + 0.234365i \(0.924699\pi\)
\(212\) 2.51977 6.92301i 0.173058 0.475474i
\(213\) −20.4617 3.26778i −1.40201 0.223904i
\(214\) −1.85371 + 10.5129i −0.126717 + 0.718649i
\(215\) 16.8012 1.14583
\(216\) 4.36874 2.81320i 0.297255 0.191414i
\(217\) −20.6347 + 2.36721i −1.40077 + 0.160697i
\(218\) 3.01659 + 0.531907i 0.204310 + 0.0360253i
\(219\) 2.76587 + 7.23311i 0.186900 + 0.488768i
\(220\) 1.09267 3.00210i 0.0736680 0.202401i
\(221\) −0.633974 0.755541i −0.0426457 0.0508232i
\(222\) −0.283421 + 0.819689i −0.0190219 + 0.0550140i
\(223\) 5.22456 + 14.3544i 0.349862 + 0.961238i 0.982413 + 0.186720i \(0.0597856\pi\)
−0.632551 + 0.774519i \(0.717992\pi\)
\(224\) 1.05311 2.42713i 0.0703640 0.162169i
\(225\) 19.5842 0.633497i 1.30561 0.0422331i
\(226\) 6.43907 + 11.1528i 0.428320 + 0.741873i
\(227\) 18.4124 + 15.4498i 1.22207 + 1.02544i 0.998714 + 0.0507061i \(0.0161472\pi\)
0.223361 + 0.974736i \(0.428297\pi\)
\(228\) −0.221659 13.7085i −0.0146797 0.907870i
\(229\) 12.0270 2.12068i 0.794764 0.140138i 0.238498 0.971143i \(-0.423345\pi\)
0.556265 + 0.831005i \(0.312234\pi\)
\(230\) −0.294944 1.67271i −0.0194480 0.110295i
\(231\) 2.62279 + 3.42171i 0.172567 + 0.225132i
\(232\) −6.22540 5.22373i −0.408717 0.342955i
\(233\) −3.32396 + 1.91909i −0.217760 + 0.125724i −0.604913 0.796292i \(-0.706792\pi\)
0.387153 + 0.922016i \(0.373459\pi\)
\(234\) −0.273063 1.30110i −0.0178507 0.0850554i
\(235\) −3.92639 + 6.80071i −0.256130 + 0.443629i
\(236\) 0.00311488 0.00113372i 0.000202761 7.37991e-5i
\(237\) 14.6142 12.6710i 0.949292 0.823067i
\(238\) −4.05007 + 4.27451i −0.262527 + 0.277075i
\(239\) 5.85260 16.0799i 0.378573 1.04012i −0.593375 0.804926i \(-0.702205\pi\)
0.971948 0.235196i \(-0.0755731\pi\)
\(240\) 4.56618 + 3.70735i 0.294746 + 0.239308i
\(241\) 17.9121 + 3.15839i 1.15382 + 0.203450i 0.717644 0.696410i \(-0.245220\pi\)
0.436179 + 0.899860i \(0.356332\pi\)
\(242\) 10.1149i 0.650210i
\(243\) −15.0311 4.13127i −0.964243 0.265021i
\(244\) 12.1935i 0.780608i
\(245\) 1.28081 + 23.7361i 0.0818282 + 1.51644i
\(246\) −7.33756 + 9.03736i −0.467826 + 0.576201i
\(247\) −3.29626 1.19974i −0.209736 0.0763376i
\(248\) 6.01371 5.04610i 0.381871 0.320428i
\(249\) 17.6588 15.3107i 1.11908 0.970278i
\(250\) 1.77871 + 4.88697i 0.112496 + 0.309079i
\(251\) −4.89870 + 8.48480i −0.309203 + 0.535556i −0.978188 0.207720i \(-0.933396\pi\)
0.668985 + 0.743276i \(0.266729\pi\)
\(252\) −7.53160 + 2.50500i −0.474446 + 0.157800i
\(253\) 0.235284 + 0.407525i 0.0147922 + 0.0256209i
\(254\) −2.57246 + 3.06574i −0.161410 + 0.192361i
\(255\) −6.72772 11.2295i −0.421306 0.703217i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) −2.51430 14.2593i −0.156838 0.889471i −0.957086 0.289803i \(-0.906410\pi\)
0.800249 0.599668i \(-0.204701\pi\)
\(258\) −0.138547 8.56844i −0.00862555 0.533448i
\(259\) 0.730367 1.10532i 0.0453828 0.0686814i
\(260\) 1.30323 0.752421i 0.0808229 0.0466632i
\(261\) 0.788217 + 24.3673i 0.0487894 + 1.50830i
\(262\) 1.88614 + 1.08896i 0.116526 + 0.0672765i
\(263\) −4.10344 11.2741i −0.253029 0.695192i −0.999555 0.0298351i \(-0.990502\pi\)
0.746526 0.665356i \(-0.231720\pi\)
\(264\) −1.54005 0.532496i −0.0947834 0.0327729i
\(265\) −16.0812 19.1649i −0.987862 1.17729i
\(266\) −4.87325 + 20.3680i −0.298798 + 1.24884i
\(267\) −16.0800 + 6.14885i −0.984083 + 0.376304i
\(268\) −2.67026 + 15.1438i −0.163112 + 0.925056i
\(269\) −4.05269 −0.247097 −0.123549 0.992339i \(-0.539427\pi\)
−0.123549 + 0.992339i \(0.539427\pi\)
\(270\) −0.855525 17.6244i −0.0520656 1.07258i
\(271\) 20.4925i 1.24483i 0.782686 + 0.622416i \(0.213849\pi\)
−0.782686 + 0.622416i \(0.786151\pi\)
\(272\) 0.386479 2.19183i 0.0234337 0.132899i
\(273\) −0.0896171 + 2.02878i −0.00542388 + 0.122787i
\(274\) −0.348379 0.126800i −0.0210463 0.00766024i
\(275\) −3.94980 4.70719i −0.238182 0.283854i
\(276\) −0.850633 + 0.164212i −0.0512021 + 0.00988440i
\(277\) 16.2030 5.89740i 0.973542 0.354340i 0.194216 0.980959i \(-0.437784\pi\)
0.779326 + 0.626618i \(0.215561\pi\)
\(278\) −3.83957 + 6.65033i −0.230282 + 0.398860i
\(279\) −23.3133 3.33761i −1.39573 0.199817i
\(280\) −5.34975 7.21807i −0.319708 0.431362i
\(281\) −13.9815 + 16.6625i −0.834067 + 0.994003i 0.165902 + 0.986142i \(0.446947\pi\)
−0.999969 + 0.00786044i \(0.997498\pi\)
\(282\) 3.50067 + 1.94634i 0.208462 + 0.115903i
\(283\) 15.6562 2.76061i 0.930665 0.164101i 0.312292 0.949986i \(-0.398903\pi\)
0.618373 + 0.785885i \(0.287792\pi\)
\(284\) −11.7815 + 2.07740i −0.699105 + 0.123271i
\(285\) −40.6911 22.6239i −2.41033 1.34012i
\(286\) −0.267986 + 0.319373i −0.0158463 + 0.0188849i
\(287\) 14.2860 10.5882i 0.843274 0.625001i
\(288\) 1.85306 2.35928i 0.109192 0.139022i
\(289\) 6.02325 10.4326i 0.354309 0.613681i
\(290\) −25.9323 + 9.43860i −1.52280 + 0.554253i
\(291\) −2.70592 + 0.522370i −0.158624 + 0.0306219i
\(292\) 2.87387 + 3.42494i 0.168180 + 0.200429i
\(293\) −10.8584 3.95215i −0.634357 0.230887i 0.00476955 0.999989i \(-0.498482\pi\)
−0.639127 + 0.769102i \(0.720704\pi\)
\(294\) 12.0946 0.848936i 0.705371 0.0495109i
\(295\) 0.00195465 0.0110853i 0.000113804 0.000645414i
\(296\) 0.500739i 0.0291049i
\(297\) 1.89274 + 4.50725i 0.109828 + 0.261537i
\(298\) 1.35073 0.0782458
\(299\) −0.0384898 + 0.218286i −0.00222592 + 0.0126238i
\(300\) 10.5667 4.04059i 0.610067 0.233283i
\(301\) −3.04600 + 12.7309i −0.175568 + 0.733797i
\(302\) −1.21030 1.44238i −0.0696449 0.0829996i
\(303\) −23.2176 8.02785i −1.33382 0.461188i
\(304\) −2.70731 7.43829i −0.155275 0.426615i
\(305\) −35.8592 20.7033i −2.05329 1.18547i
\(306\) −5.67144 + 3.52367i −0.324215 + 0.201435i
\(307\) −9.18543 + 5.30321i −0.524240 + 0.302670i −0.738668 0.674070i \(-0.764545\pi\)
0.214428 + 0.976740i \(0.431211\pi\)
\(308\) 2.07670 + 1.37223i 0.118331 + 0.0781900i
\(309\) −0.272303 16.8406i −0.0154908 0.958026i
\(310\) −4.62915 26.2532i −0.262918 1.49108i
\(311\) −2.90114 16.4532i −0.164508 0.932974i −0.949570 0.313556i \(-0.898480\pi\)
0.785061 0.619418i \(-0.212631\pi\)
\(312\) −0.394474 0.658430i −0.0223327 0.0372762i
\(313\) 15.9842 19.0492i 0.903479 1.07672i −0.0932289 0.995645i \(-0.529719\pi\)
0.996708 0.0810793i \(-0.0258367\pi\)
\(314\) 5.48090 + 9.49320i 0.309305 + 0.535732i
\(315\) −5.42107 + 26.4026i −0.305443 + 1.48762i
\(316\) 5.58366 9.67118i 0.314105 0.544047i
\(317\) 6.00784 + 16.5064i 0.337434 + 0.927092i 0.986120 + 0.166035i \(0.0530966\pi\)
−0.648686 + 0.761056i \(0.724681\pi\)
\(318\) −9.64127 + 8.35930i −0.540655 + 0.468766i
\(319\) 5.85684 4.91447i 0.327920 0.275158i
\(320\) 3.19101 + 1.16143i 0.178383 + 0.0649261i
\(321\) 11.6545 14.3543i 0.650490 0.801180i
\(322\) 1.32095 + 0.0797661i 0.0736135 + 0.00444519i
\(323\) 17.6174i 0.980261i
\(324\) −8.98119 + 0.581644i −0.498955 + 0.0323135i
\(325\) 2.89441i 0.160553i
\(326\) −18.6989 3.29712i −1.03564 0.182610i
\(327\) −4.11885 3.34415i −0.227773 0.184932i
\(328\) −2.29870 + 6.31563i −0.126925 + 0.348722i
\(329\) −4.44131 4.20812i −0.244857 0.232001i
\(330\) −4.18084 + 3.62493i −0.230148 + 0.199546i
\(331\) −6.81196 + 2.47935i −0.374419 + 0.136278i −0.522374 0.852717i \(-0.674953\pi\)
0.147954 + 0.988994i \(0.452731\pi\)
\(332\) 6.74692 11.6860i 0.370285 0.641353i
\(333\) 1.11894 1.00231i 0.0613178 0.0549260i
\(334\) 14.9415 8.62647i 0.817562 0.472019i
\(335\) 40.0019 + 33.5656i 2.18554 + 1.83388i
\(336\) −3.63703 + 2.78784i −0.198416 + 0.152089i
\(337\) −1.90759 10.8185i −0.103913 0.589320i −0.991649 0.128967i \(-0.958834\pi\)
0.887736 0.460353i \(-0.152277\pi\)
\(338\) 12.6091 2.22333i 0.685845 0.120933i
\(339\) −0.360622 22.3027i −0.0195863 1.21131i
\(340\) −5.78965 4.85809i −0.313988 0.263467i
\(341\) 3.69279 + 6.39610i 0.199976 + 0.346368i
\(342\) −11.2024 + 20.9386i −0.605756 + 1.13223i
\(343\) −18.2179 3.33274i −0.983676 0.179951i
\(344\) −1.69219 4.64926i −0.0912369 0.250671i
\(345\) −0.961368 + 2.78040i −0.0517583 + 0.149692i
\(346\) 6.98657 + 8.32627i 0.375601 + 0.447623i
\(347\) −1.76874 + 4.85957i −0.0949509 + 0.260875i −0.978071 0.208271i \(-0.933216\pi\)
0.883120 + 0.469147i \(0.155438\pi\)
\(348\) 5.02743 + 13.1474i 0.269499 + 0.704774i
\(349\) 12.2071 + 2.15244i 0.653432 + 0.115218i 0.490530 0.871425i \(-0.336803\pi\)
0.162902 + 0.986642i \(0.447914\pi\)
\(350\) −17.1681 + 1.96952i −0.917672 + 0.105275i
\(351\) −0.681719 + 2.19943i −0.0363874 + 0.117397i
\(352\) −0.940798 −0.0501447
\(353\) 2.33281 13.2300i 0.124163 0.704164i −0.857638 0.514253i \(-0.828069\pi\)
0.981801 0.189910i \(-0.0608197\pi\)
\(354\) −0.00566953 0.000905436i −0.000301332 4.81234e-5i
\(355\) −13.8945 + 38.1749i −0.737446 + 2.02611i
\(356\) −7.61404 + 6.38894i −0.403543 + 0.338613i
\(357\) 9.72870 3.06198i 0.514898 0.162057i
\(358\) −8.07048 + 2.93742i −0.426538 + 0.155247i
\(359\) −12.5072 7.22101i −0.660103 0.381110i 0.132214 0.991221i \(-0.457792\pi\)
−0.792316 + 0.610111i \(0.791125\pi\)
\(360\) −3.79198 9.45538i −0.199855 0.498342i
\(361\) 21.8288 + 37.8086i 1.14889 + 1.98993i
\(362\) −6.14743 5.15831i −0.323102 0.271115i
\(363\) −8.51332 + 15.3120i −0.446833 + 0.803671i
\(364\) 0.333866 + 1.12392i 0.0174993 + 0.0589093i
\(365\) 14.9518 2.63640i 0.782612 0.137996i
\(366\) −10.2628 + 18.4586i −0.536444 + 0.964845i
\(367\) 7.37637 8.79081i 0.385043 0.458877i −0.538356 0.842717i \(-0.680954\pi\)
0.923399 + 0.383841i \(0.125399\pi\)
\(368\) −0.433169 + 0.250090i −0.0225805 + 0.0130369i
\(369\) 18.7140 7.50506i 0.974214 0.390698i
\(370\) 1.47260 + 0.850205i 0.0765568 + 0.0442001i
\(371\) 17.4374 8.71083i 0.905304 0.452244i
\(372\) −13.3507 + 2.57731i −0.692201 + 0.133627i
\(373\) 0.595553 0.499728i 0.0308366 0.0258749i −0.627239 0.778827i \(-0.715815\pi\)
0.658076 + 0.752952i \(0.271371\pi\)
\(374\) 1.96760 + 0.716150i 0.101742 + 0.0370312i
\(375\) 1.42055 8.89500i 0.0733569 0.459336i
\(376\) 2.27736 + 0.401561i 0.117446 + 0.0207089i
\(377\) 3.60132 0.185477
\(378\) 13.5097 + 2.54697i 0.694866 + 0.131002i
\(379\) 5.88815 0.302454 0.151227 0.988499i \(-0.451678\pi\)
0.151227 + 0.988499i \(0.451678\pi\)
\(380\) −26.4717 4.66767i −1.35797 0.239446i
\(381\) 6.47451 2.47579i 0.331699 0.126839i
\(382\) −20.8537 7.59012i −1.06697 0.388344i
\(383\) 23.3240 19.5711i 1.19180 1.00004i 0.191973 0.981400i \(-0.438511\pi\)
0.999826 0.0186386i \(-0.00593319\pi\)
\(384\) 0.566005 1.63696i 0.0288838 0.0835358i
\(385\) 7.56156 3.77737i 0.385373 0.192512i
\(386\) −21.9703 12.6845i −1.11826 0.645626i
\(387\) −7.00199 + 13.0876i −0.355931 + 0.665278i
\(388\) −1.37794 + 0.795555i −0.0699544 + 0.0403882i
\(389\) −4.97627 + 5.93049i −0.252307 + 0.300688i −0.877300 0.479943i \(-0.840657\pi\)
0.624993 + 0.780630i \(0.285102\pi\)
\(390\) −2.60612 + 0.0421395i −0.131966 + 0.00213382i
\(391\) 1.09631 0.193309i 0.0554429 0.00977608i
\(392\) 6.43929 2.74509i 0.325233 0.138648i
\(393\) −1.93871 3.23597i −0.0977951 0.163233i
\(394\) −1.19622 1.00375i −0.0602647 0.0505681i
\(395\) −18.9610 32.8414i −0.954032 1.65243i
\(396\) 1.88315 + 2.10229i 0.0946319 + 0.105644i
\(397\) 13.5243 + 7.80827i 0.678766 + 0.391886i 0.799390 0.600813i \(-0.205156\pi\)
−0.120624 + 0.992698i \(0.538490\pi\)
\(398\) 15.0043 5.46112i 0.752098 0.273741i
\(399\) 24.5201 26.7315i 1.22754 1.33825i
\(400\) 5.00340 4.19835i 0.250170 0.209918i
\(401\) 0.945466 2.59765i 0.0472143 0.129720i −0.913844 0.406065i \(-0.866901\pi\)
0.961059 + 0.276344i \(0.0891230\pi\)
\(402\) 16.7882 20.6773i 0.837320 1.03129i
\(403\) −0.604097 + 3.42601i −0.0300922 + 0.170661i
\(404\) −14.1834 −0.705648
\(405\) −13.5386 + 27.3999i −0.672741 + 1.36151i
\(406\) −2.45054 21.3611i −0.121618 1.06013i
\(407\) −0.463937 0.0818046i −0.0229965 0.00405490i
\(408\) −2.42983 + 2.99272i −0.120295 + 0.148162i
\(409\) −9.95715 + 27.3570i −0.492349 + 1.35272i 0.406175 + 0.913795i \(0.366862\pi\)
−0.898525 + 0.438923i \(0.855360\pi\)
\(410\) 14.6704 + 17.4835i 0.724518 + 0.863447i
\(411\) 0.420656 + 0.485167i 0.0207494 + 0.0239315i
\(412\) −3.32586 9.13774i −0.163854 0.450184i
\(413\) 0.00804541 + 0.00349084i 0.000395889 + 0.000171773i
\(414\) 1.42590 + 0.467360i 0.0700794 + 0.0229695i
\(415\) −22.9112 39.6834i −1.12467 1.94798i
\(416\) −0.339471 0.284850i −0.0166439 0.0139659i
\(417\) 11.4097 6.83569i 0.558735 0.334745i
\(418\) 7.33390 1.29316i 0.358713 0.0632507i
\(419\) 6.23009 + 35.3326i 0.304360 + 1.72611i 0.626502 + 0.779420i \(0.284486\pi\)
−0.322142 + 0.946691i \(0.604403\pi\)
\(420\) 2.02330 + 15.4294i 0.0987270 + 0.752879i
\(421\) 4.15270 + 3.48453i 0.202390 + 0.169825i 0.738349 0.674418i \(-0.235606\pi\)
−0.535959 + 0.844244i \(0.680050\pi\)
\(422\) 22.5267 13.0058i 1.09658 0.633112i
\(423\) −3.66117 5.89276i −0.178012 0.286516i
\(424\) −3.68366 + 6.38028i −0.178894 + 0.309854i
\(425\) −13.6601 + 4.97186i −0.662611 + 0.241171i
\(426\) 19.5834 + 6.77127i 0.948819 + 0.328069i
\(427\) 22.1888 23.4184i 1.07379 1.13330i
\(428\) 3.65110 10.0313i 0.176483 0.484882i
\(429\) 0.674482 0.257915i 0.0325643 0.0124523i
\(430\) −16.5460 2.91750i −0.797917 0.140694i
\(431\) 34.4253i 1.65821i 0.559094 + 0.829104i \(0.311149\pi\)
−0.559094 + 0.829104i \(0.688851\pi\)
\(432\) −4.79088 + 2.01184i −0.230501 + 0.0967947i
\(433\) 18.9403i 0.910213i −0.890437 0.455107i \(-0.849601\pi\)
0.890437 0.455107i \(-0.150399\pi\)
\(434\) 20.7323 + 1.25193i 0.995181 + 0.0600945i
\(435\) 47.2006 + 7.53804i 2.26310 + 0.361421i
\(436\) −2.87840 1.04765i −0.137850 0.0501734i
\(437\) 3.03297 2.54496i 0.145087 0.121742i
\(438\) −1.46783 7.60351i −0.0701358 0.363310i
\(439\) −1.13447 3.11693i −0.0541453 0.148763i 0.909671 0.415329i \(-0.136333\pi\)
−0.963817 + 0.266565i \(0.914111\pi\)
\(440\) −1.59738 + 2.76675i −0.0761522 + 0.131899i
\(441\) −19.0234 8.89443i −0.905875 0.423544i
\(442\) 0.493144 + 0.854151i 0.0234565 + 0.0406278i
\(443\) 15.9592 19.0194i 0.758245 0.903641i −0.239491 0.970899i \(-0.576980\pi\)
0.997736 + 0.0672576i \(0.0214249\pi\)
\(444\) 0.421452 0.758021i 0.0200012 0.0359741i
\(445\) 5.86103 + 33.2395i 0.277839 + 1.57571i
\(446\) −2.65258 15.0435i −0.125603 0.712331i
\(447\) −2.04475 1.13686i −0.0967132 0.0537716i
\(448\) −1.45858 + 2.20738i −0.0689114 + 0.104289i
\(449\) 2.44182 1.40979i 0.115237 0.0665320i −0.441274 0.897373i \(-0.645473\pi\)
0.556511 + 0.830841i \(0.312140\pi\)
\(450\) −19.3967 2.77689i −0.914368 0.130904i
\(451\) −5.47593 3.16153i −0.257851 0.148871i
\(452\) −4.40458 12.1015i −0.207174 0.569206i
\(453\) 0.618164 + 3.20214i 0.0290439 + 0.150450i
\(454\) −15.4498 18.4124i −0.725097 0.864137i
\(455\) 3.87215 + 0.926450i 0.181529 + 0.0434327i
\(456\) −2.16217 + 13.5388i −0.101253 + 0.634010i
\(457\) −0.972923 + 5.51772i −0.0455114 + 0.258108i −0.999071 0.0430967i \(-0.986278\pi\)
0.953560 + 0.301205i \(0.0973887\pi\)
\(458\) −12.2125 −0.570652
\(459\) 11.5512 0.560720i 0.539163 0.0261722i
\(460\) 1.69852i 0.0791937i
\(461\) 5.26328 29.8496i 0.245136 1.39023i −0.575042 0.818124i \(-0.695014\pi\)
0.820178 0.572109i \(-0.193875\pi\)
\(462\) −1.98877 3.82517i −0.0925260 0.177963i
\(463\) −26.8268 9.76416i −1.24675 0.453779i −0.367446 0.930045i \(-0.619768\pi\)
−0.879301 + 0.476266i \(0.841990\pi\)
\(464\) 5.22373 + 6.22540i 0.242506 + 0.289007i
\(465\) −15.0887 + 43.6384i −0.699721 + 2.02368i
\(466\) 3.60671 1.31273i 0.167077 0.0608112i
\(467\) 1.35485 2.34667i 0.0626951 0.108591i −0.832974 0.553312i \(-0.813364\pi\)
0.895669 + 0.444721i \(0.146697\pi\)
\(468\) 0.0429814 + 1.32875i 0.00198682 + 0.0614214i
\(469\) −32.6861 + 24.2256i −1.50930 + 1.11863i
\(470\) 5.04767 6.01558i 0.232832 0.277478i
\(471\) −0.306959 18.9839i −0.0141439 0.874733i
\(472\) −0.00326442 0.000575606i −0.000150257 2.64944e-5i
\(473\) 4.58401 0.808285i 0.210773 0.0371650i
\(474\) −16.5924 + 9.94074i −0.762116 + 0.456593i
\(475\) −33.2327 + 39.6052i −1.52482 + 1.81721i
\(476\) 4.73080 3.50628i 0.216836 0.160710i
\(477\) 21.6307 4.53966i 0.990402 0.207857i
\(478\) −8.55593 + 14.8193i −0.391339 + 0.677820i
\(479\) −7.83328 + 2.85108i −0.357912 + 0.130269i −0.514717 0.857360i \(-0.672103\pi\)
0.156805 + 0.987630i \(0.449881\pi\)
\(480\) −3.85304 4.44393i −0.175866 0.202837i
\(481\) −0.142635 0.169986i −0.00650361 0.00775070i
\(482\) −17.0916 6.22082i −0.778500 0.283351i
\(483\) −1.93252 1.23254i −0.0879328 0.0560826i
\(484\) −1.75643 + 9.96123i −0.0798379 + 0.452783i
\(485\) 5.40310i 0.245342i
\(486\) 14.0853 + 6.67862i 0.638923 + 0.302948i
\(487\) 8.68364 0.393493 0.196747 0.980454i \(-0.436962\pi\)
0.196747 + 0.980454i \(0.436962\pi\)
\(488\) −2.11738 + 12.0082i −0.0958491 + 0.543587i
\(489\) 25.5314 + 20.7293i 1.15457 + 0.937412i
\(490\) 2.86037 23.5979i 0.129218 1.06604i
\(491\) 20.0310 + 23.8720i 0.903988 + 1.07733i 0.996662 + 0.0816341i \(0.0260139\pi\)
−0.0926747 + 0.995696i \(0.529542\pi\)
\(492\) 8.79541 7.62591i 0.396528 0.343802i
\(493\) −6.18615 16.9963i −0.278610 0.765476i
\(494\) 3.03785 + 1.75390i 0.136679 + 0.0789118i
\(495\) 9.37994 1.96858i 0.421597 0.0884812i
\(496\) −6.79859 + 3.92517i −0.305266 + 0.176245i
\(497\) −26.4075 17.4494i −1.18454 0.782712i
\(498\) −20.0492 + 12.0117i −0.898425 + 0.538258i
\(499\) −2.06289 11.6992i −0.0923476 0.523729i −0.995528 0.0944679i \(-0.969885\pi\)
0.903180 0.429261i \(-0.141226\pi\)
\(500\) −0.903076 5.12160i −0.0403868 0.229045i
\(501\) −29.8791 + 0.483128i −1.33490 + 0.0215846i
\(502\) 6.29765 7.50525i 0.281078 0.334976i
\(503\) 5.79141 + 10.0310i 0.258226 + 0.447261i 0.965767 0.259412i \(-0.0835287\pi\)
−0.707541 + 0.706673i \(0.750195\pi\)
\(504\) 7.85216 1.15910i 0.349763 0.0516303i
\(505\) −24.0819 + 41.7112i −1.07163 + 1.85612i
\(506\) −0.160944 0.442190i −0.00715484 0.0196577i
\(507\) −20.9590 7.24691i −0.930823 0.321847i
\(508\) 3.06574 2.57246i 0.136020 0.114134i
\(509\) 19.7703 + 7.19579i 0.876301 + 0.318948i 0.740716 0.671818i \(-0.234486\pi\)
0.135585 + 0.990766i \(0.456709\pi\)
\(510\) 4.67553 + 12.2271i 0.207036 + 0.541427i
\(511\) −0.713002 + 11.8075i −0.0315413 + 0.522333i
\(512\) 1.00000i 0.0441942i
\(513\) 34.5815 22.2684i 1.52681 0.983172i
\(514\) 14.4793i 0.638654i
\(515\) −32.5197 5.73410i −1.43299 0.252675i
\(516\) −1.35145 + 8.46233i −0.0594944 + 0.372533i
\(517\) −0.744096 + 2.04439i −0.0327253 + 0.0899120i
\(518\) −0.911209 + 0.961704i −0.0400362 + 0.0422548i
\(519\) −3.56841 18.4847i −0.156636 0.811388i
\(520\) −1.41409 + 0.514686i −0.0620119 + 0.0225705i
\(521\) −3.72023 + 6.44363i −0.162986 + 0.282301i −0.935938 0.352164i \(-0.885446\pi\)
0.772952 + 0.634464i \(0.218779\pi\)
\(522\) 3.45509 24.1340i 0.151225 1.05632i
\(523\) −0.241039 + 0.139164i −0.0105399 + 0.00608521i −0.505261 0.862967i \(-0.668604\pi\)
0.494721 + 0.869052i \(0.335270\pi\)
\(524\) −1.66839 1.39995i −0.0728840 0.0611569i
\(525\) 27.6468 + 11.4682i 1.20660 + 0.500515i
\(526\) 2.08337 + 11.8154i 0.0908393 + 0.515175i
\(527\) 17.2066 3.03399i 0.749532 0.132163i
\(528\) 1.42418 + 0.791833i 0.0619797 + 0.0344601i
\(529\) 17.4274 + 14.6233i 0.757712 + 0.635796i
\(530\) 12.5090 + 21.6662i 0.543355 + 0.941119i
\(531\) 0.00782049 + 0.00614248i 0.000339380 + 0.000266561i
\(532\) 8.33608 19.2123i 0.361415 0.832960i
\(533\) −1.01866 2.79876i −0.0441232 0.121228i
\(534\) 16.9035 3.26317i 0.731486 0.141211i
\(535\) −23.3014 27.7695i −1.00741 1.20058i
\(536\) 5.25939 14.4501i 0.227171 0.624147i
\(537\) 14.6894 + 2.34594i 0.633896 + 0.101235i
\(538\) 3.99112 + 0.703743i 0.172070 + 0.0303405i
\(539\) 1.49137 + 6.41449i 0.0642378 + 0.276292i
\(540\) −2.21791 + 17.5052i −0.0954437 + 0.753302i
\(541\) −34.8502 −1.49833 −0.749163 0.662385i \(-0.769544\pi\)
−0.749163 + 0.662385i \(0.769544\pi\)
\(542\) 3.55849 20.1812i 0.152850 0.866857i
\(543\) 4.96447 + 12.9827i 0.213046 + 0.557142i
\(544\) −0.761215 + 2.09142i −0.0326368 + 0.0896690i
\(545\) −7.96823 + 6.68614i −0.341322 + 0.286403i
\(546\) 0.440549 1.98239i 0.0188538 0.0848387i
\(547\) 10.6978 3.89368i 0.457405 0.166482i −0.103034 0.994678i \(-0.532855\pi\)
0.560438 + 0.828196i \(0.310633\pi\)
\(548\) 0.321068 + 0.185369i 0.0137153 + 0.00791855i
\(549\) 31.0717 19.3049i 1.32611 0.823912i
\(550\) 3.07240 + 5.32155i 0.131008 + 0.226912i
\(551\) −49.2781 41.3493i −2.09932 1.76154i
\(552\) 0.866225 0.0140064i 0.0368690 0.000596151i
\(553\) 28.3227 8.41343i 1.20441 0.357776i
\(554\) −16.9809 + 2.99419i −0.721449 + 0.127211i
\(555\) −1.51364 2.52647i −0.0642506 0.107243i
\(556\) 4.93606 5.88256i 0.209335 0.249476i
\(557\) −24.9918 + 14.4290i −1.05894 + 0.611378i −0.925138 0.379630i \(-0.876051\pi\)
−0.133800 + 0.991008i \(0.542718\pi\)
\(558\) 22.3796 + 7.33521i 0.947402 + 0.310524i
\(559\) 1.89879 + 1.09627i 0.0803102 + 0.0463671i
\(560\) 4.01507 + 8.03739i 0.169668 + 0.339642i
\(561\) −2.37582 2.74017i −0.100307 0.115690i
\(562\) 16.6625 13.9815i 0.702866 0.589775i
\(563\) 16.8581 + 6.13586i 0.710486 + 0.258596i 0.671881 0.740659i \(-0.265486\pi\)
0.0386046 + 0.999255i \(0.487709\pi\)
\(564\) −3.10951 2.52465i −0.130934 0.106307i
\(565\) −43.0672 7.59392i −1.81185 0.319478i
\(566\) −15.8977 −0.668232
\(567\) −18.3074 15.2262i −0.768840 0.639442i
\(568\) 11.9633 0.501968
\(569\) 39.2969 + 6.92910i 1.64741 + 0.290483i 0.918882 0.394532i \(-0.129093\pi\)
0.728529 + 0.685015i \(0.240205\pi\)
\(570\) 36.1443 + 29.3461i 1.51392 + 1.22917i
\(571\) 1.84609 + 0.671920i 0.0772563 + 0.0281190i 0.380359 0.924839i \(-0.375800\pi\)
−0.303103 + 0.952958i \(0.598023\pi\)
\(572\) 0.319373 0.267986i 0.0133537 0.0112051i
\(573\) 25.1801 + 29.0417i 1.05191 + 1.21323i
\(574\) −15.9076 + 7.94660i −0.663968 + 0.331685i
\(575\) 2.82924 + 1.63346i 0.117987 + 0.0681200i
\(576\) −2.23459 + 2.00165i −0.0931078 + 0.0834023i
\(577\) 21.6860 12.5204i 0.902799 0.521231i 0.0246916 0.999695i \(-0.492140\pi\)
0.878107 + 0.478464i \(0.158806\pi\)
\(578\) −7.74334 + 9.22816i −0.322081 + 0.383841i
\(579\) 22.5826 + 37.6934i 0.938501 + 1.56649i
\(580\) 27.1774 4.79210i 1.12848 0.198981i
\(581\) 34.2233 10.1662i 1.41982 0.421766i
\(582\) 2.75552 0.0445553i 0.114220 0.00184688i
\(583\) −5.30957 4.45526i −0.219900 0.184518i
\(584\) −2.23547 3.87195i −0.0925044 0.160222i
\(585\) 3.98063 + 2.12968i 0.164579 + 0.0880514i
\(586\) 10.0072 + 5.77766i 0.413393 + 0.238673i
\(587\) 16.5825 6.03552i 0.684431 0.249113i 0.0236824 0.999720i \(-0.492461\pi\)
0.660749 + 0.750607i \(0.270239\pi\)
\(588\) −12.0583 1.26417i −0.497275 0.0521334i
\(589\) 47.6025 39.9432i 1.96143 1.64583i
\(590\) −0.00384990 + 0.0105775i −0.000158498 + 0.000435469i
\(591\) 0.966029 + 2.52629i 0.0397371 + 0.103918i
\(592\) 0.0869524 0.493131i 0.00357372 0.0202676i
\(593\) 39.1523 1.60779 0.803897 0.594769i \(-0.202756\pi\)
0.803897 + 0.594769i \(0.202756\pi\)
\(594\) −1.08131 4.76744i −0.0443665 0.195610i
\(595\) −2.27902 19.8659i −0.0934305 0.814423i
\(596\) −1.33021 0.234552i −0.0544876 0.00960763i
\(597\) −27.3100 4.36147i −1.11772 0.178503i
\(598\) 0.0758101 0.208286i 0.00310010 0.00851747i
\(599\) −18.2649 21.7672i −0.746283 0.889386i 0.250615 0.968087i \(-0.419367\pi\)
−0.996898 + 0.0787012i \(0.974923\pi\)
\(600\) −11.1078 + 2.14432i −0.453473 + 0.0875415i
\(601\) 14.3707 + 39.4833i 0.586195 + 1.61056i 0.777400 + 0.629007i \(0.216538\pi\)
−0.191205 + 0.981550i \(0.561239\pi\)
\(602\) 5.21042 12.0086i 0.212361 0.489432i
\(603\) −42.8174 + 17.1715i −1.74366 + 0.699276i
\(604\) 0.941446 + 1.63063i 0.0383069 + 0.0663495i
\(605\) 26.3123 + 22.0786i 1.06975 + 0.897623i
\(606\) 21.4708 + 11.9376i 0.872193 + 0.484931i
\(607\) −34.5554 + 6.09305i −1.40256 + 0.247309i −0.823195 0.567759i \(-0.807810\pi\)
−0.579365 + 0.815068i \(0.696699\pi\)
\(608\) 1.37454 + 7.79540i 0.0557449 + 0.316145i
\(609\) −14.2691 + 34.3990i −0.578215 + 1.39392i
\(610\) 31.7194 + 26.6157i 1.28428 + 1.07764i
\(611\) −0.887483 + 0.512388i −0.0359037 + 0.0207290i
\(612\) 6.19715 2.48530i 0.250505 0.100462i
\(613\) 10.9144 18.9043i 0.440828 0.763536i −0.556924 0.830564i \(-0.688018\pi\)
0.997751 + 0.0670280i \(0.0213517\pi\)
\(614\) 9.96678 3.62761i 0.402226 0.146398i
\(615\) −7.49293 38.8140i −0.302144 1.56513i
\(616\) −1.80687 1.71200i −0.0728008 0.0689783i
\(617\) 1.42517 3.91563i 0.0573753 0.157637i −0.907694 0.419634i \(-0.862159\pi\)
0.965069 + 0.261996i \(0.0843808\pi\)
\(618\) −2.65617 + 16.6320i −0.106847 + 0.669037i
\(619\) −24.0454 4.23985i −0.966465 0.170414i −0.331926 0.943305i \(-0.607699\pi\)
−0.634538 + 0.772891i \(0.718810\pi\)
\(620\) 26.6582i 1.07062i
\(621\) −1.76518 1.90762i −0.0708343 0.0765502i
\(622\) 16.7070i 0.669889i
\(623\) −26.2494 1.58509i −1.05166 0.0635051i
\(624\) 0.274145 + 0.716926i 0.0109746 + 0.0287000i
\(625\) 14.0927 + 5.12933i 0.563709 + 0.205173i
\(626\) −19.0492 + 15.9842i −0.761359 + 0.638856i
\(627\) −12.1905 4.21506i −0.486842 0.168333i
\(628\) −3.74916 10.3007i −0.149608 0.411044i
\(629\) −0.557233 + 0.965156i −0.0222183 + 0.0384833i
\(630\) 9.92347 25.0601i 0.395360 0.998418i
\(631\) −15.9614 27.6460i −0.635414 1.10057i −0.986427 0.164199i \(-0.947496\pi\)
0.351013 0.936370i \(-0.385837\pi\)
\(632\) −7.17821 + 8.55466i −0.285534 + 0.340286i
\(633\) −45.0475 + 0.728393i −1.79048 + 0.0289510i
\(634\) −3.05026 17.2989i −0.121141 0.687026i
\(635\) −2.35990 13.3837i −0.0936498 0.531114i
\(636\) 10.9464 6.55811i 0.434052 0.260046i
\(637\) −1.40401 + 2.76611i −0.0556290 + 0.109597i
\(638\) −6.62125 + 3.82278i −0.262138 + 0.151345i
\(639\) −23.9463 26.7330i −0.947302 1.05754i
\(640\) −2.94085 1.69790i −0.116247 0.0671155i
\(641\) −5.12063 14.0688i −0.202253 0.555685i 0.796552 0.604570i \(-0.206655\pi\)
−0.998804 + 0.0488858i \(0.984433\pi\)
\(642\) −13.9700 + 12.1125i −0.551353 + 0.478041i
\(643\) 2.88719 + 3.44082i 0.113860 + 0.135693i 0.819964 0.572415i \(-0.193993\pi\)
−0.706104 + 0.708108i \(0.749549\pi\)
\(644\) −1.28703 0.307934i −0.0507160 0.0121343i
\(645\) 22.5918 + 18.3426i 0.889552 + 0.722240i
\(646\) 3.05924 17.3498i 0.120364 0.682619i
\(647\) 30.2456 1.18908 0.594539 0.804067i \(-0.297334\pi\)
0.594539 + 0.804067i \(0.297334\pi\)
\(648\) 8.94574 + 0.986759i 0.351422 + 0.0387636i
\(649\) 0.00311854i 0.000122413i
\(650\) −0.502609 + 2.85044i −0.0197139 + 0.111803i
\(651\) −30.3309 19.3447i −1.18876 0.758180i
\(652\) 17.8423 + 6.49405i 0.698757 + 0.254327i
\(653\) 16.6977 + 19.8996i 0.653433 + 0.778731i 0.986427 0.164198i \(-0.0525036\pi\)
−0.332995 + 0.942929i \(0.608059\pi\)
\(654\) 3.47557 + 4.00858i 0.135906 + 0.156748i
\(655\) −6.94980 + 2.52952i −0.271551 + 0.0988365i
\(656\) 3.36048 5.82052i 0.131205 0.227253i
\(657\) −4.17757 + 12.7457i −0.162982 + 0.497255i
\(658\) 3.64311 + 4.91541i 0.142023 + 0.191623i
\(659\) 19.5219 23.2653i 0.760465 0.906286i −0.237413 0.971409i \(-0.576299\pi\)
0.997877 + 0.0651225i \(0.0207438\pi\)
\(660\) 4.74679 2.84386i 0.184769 0.110697i
\(661\) 14.4693 2.55133i 0.562790 0.0992351i 0.114987 0.993367i \(-0.463318\pi\)
0.447804 + 0.894132i \(0.352206\pi\)
\(662\) 7.13901 1.25880i 0.277466 0.0489247i
\(663\) −0.0276187 1.70808i −0.00107262 0.0663363i
\(664\) −8.67367 + 10.3369i −0.336604 + 0.401148i
\(665\) −42.3468 57.1358i −1.64214 2.21563i
\(666\) −1.27599 + 0.792776i −0.0494438 + 0.0307194i
\(667\) −2.03240 + 3.52023i −0.0786950 + 0.136304i
\(668\) −16.2125 + 5.90085i −0.627279 + 0.228311i
\(669\) −8.64606 + 25.0055i −0.334276 + 0.966769i
\(670\) −33.5656 40.0019i −1.29675 1.54541i
\(671\) −10.7798 3.92352i −0.416149 0.151466i
\(672\) 4.06588 2.11392i 0.156845 0.0815463i
\(673\) 1.42459 8.07926i 0.0549140 0.311433i −0.944962 0.327180i \(-0.893902\pi\)
0.999876 + 0.0157474i \(0.00501276\pi\)
\(674\) 10.9854i 0.423140i
\(675\) 27.0256 + 20.5291i 1.04022 + 0.790165i
\(676\) −12.8036 −0.492447
\(677\) −1.87976 + 10.6606i −0.0722450 + 0.409722i 0.927142 + 0.374710i \(0.122258\pi\)
−0.999387 + 0.0350113i \(0.988853\pi\)
\(678\) −3.51767 + 22.0265i −0.135095 + 0.845921i
\(679\) −4.09413 0.979561i −0.157118 0.0375921i
\(680\) 4.85809 + 5.78965i 0.186299 + 0.222023i
\(681\) 7.89104 + 40.8763i 0.302385 + 1.56638i
\(682\) −2.52602 6.94017i −0.0967262 0.265753i
\(683\) 20.9310 + 12.0845i 0.800904 + 0.462402i 0.843787 0.536678i \(-0.180321\pi\)
−0.0428831 + 0.999080i \(0.513654\pi\)
\(684\) 14.6682 18.6752i 0.560851 0.714065i
\(685\) 1.09028 0.629475i 0.0416576 0.0240510i
\(686\) 17.3624 + 6.44562i 0.662901 + 0.246095i
\(687\) 18.4873 + 10.2788i 0.705336 + 0.392160i
\(688\) 0.859148 + 4.87247i 0.0327547 + 0.185761i
\(689\) −0.566928 3.21521i −0.0215982 0.122490i
\(690\) 1.42957 2.57122i 0.0544230 0.0978847i
\(691\) −12.6341 + 15.0567i −0.480622 + 0.572783i −0.950807 0.309785i \(-0.899743\pi\)
0.470184 + 0.882568i \(0.344187\pi\)
\(692\) −5.43459 9.41298i −0.206592 0.357828i
\(693\) −0.208881 + 7.46443i −0.00793474 + 0.283550i
\(694\) 2.58572 4.47860i 0.0981527 0.170005i
\(695\) −8.91881 24.5042i −0.338310 0.929498i
\(696\) −2.66803 13.8207i −0.101132 0.523870i
\(697\) −11.4588 + 9.61511i −0.434035 + 0.364198i
\(698\) −11.6479 4.23949i −0.440879 0.160467i
\(699\) −6.56473 1.04840i −0.248301 0.0396542i
\(700\) 17.2493 + 1.04161i 0.651960 + 0.0393690i
\(701\) 18.0132i 0.680350i 0.940362 + 0.340175i \(0.110486\pi\)
−0.940362 + 0.340175i \(0.889514\pi\)
\(702\) 1.05329 2.04764i 0.0397538 0.0772832i
\(703\) 3.96368i 0.149493i
\(704\) 0.926505 + 0.163368i 0.0349190 + 0.00615716i
\(705\) −12.7043 + 4.85799i −0.478471 + 0.182962i
\(706\) −4.59474 + 12.6239i −0.172925 + 0.475109i
\(707\) −27.2401 25.8099i −1.02447 0.970680i
\(708\) 0.00542617 + 0.00187618i 0.000203928 + 7.05113e-5i
\(709\) 4.09818 1.49162i 0.153910 0.0560188i −0.263916 0.964546i \(-0.585014\pi\)
0.417827 + 0.908527i \(0.362792\pi\)
\(710\) 20.3125 35.1822i 0.762313 1.32036i
\(711\) 33.4844 1.08313i 1.25576 0.0406206i
\(712\) 8.60779 4.96971i 0.322591 0.186248i
\(713\) −3.00794 2.52396i −0.112648 0.0945231i
\(714\) −10.1126 + 1.32609i −0.378455 + 0.0496278i
\(715\) −0.245843 1.39424i −0.00919399 0.0521417i
\(716\) 8.45795 1.49136i 0.316088 0.0557349i
\(717\) 25.4249 15.2324i 0.949509 0.568863i
\(718\) 11.0632 + 9.28315i 0.412876 + 0.346444i
\(719\) 16.1456 + 27.9650i 0.602130 + 1.04292i 0.992498 + 0.122260i \(0.0390143\pi\)
−0.390368 + 0.920659i \(0.627652\pi\)
\(720\) 2.09246 + 9.97020i 0.0779814 + 0.371568i
\(721\) 10.2406 23.6018i 0.381382 0.878978i
\(722\) −14.9318 41.0248i −0.555704 1.52678i
\(723\) 20.6375 + 23.8024i 0.767516 + 0.885222i
\(724\) 5.15831 + 6.14743i 0.191707 + 0.228468i
\(725\) 18.1542 49.8782i 0.674229 1.85243i
\(726\) 11.0429 13.6010i 0.409840 0.504782i
\(727\) 7.60133 + 1.34032i 0.281918 + 0.0497097i 0.312819 0.949813i \(-0.398727\pi\)
−0.0309014 + 0.999522i \(0.509838\pi\)
\(728\) −0.133628 1.16482i −0.00495258 0.0431710i
\(729\) −15.7013 21.9652i −0.581529 0.813526i
\(730\) −15.1824 −0.561927
\(731\) 1.91216 10.8444i 0.0707238 0.401094i
\(732\) 13.3122 16.3960i 0.492032 0.606014i
\(733\) −2.88073 + 7.91475i −0.106402 + 0.292338i −0.981456 0.191688i \(-0.938604\pi\)
0.875054 + 0.484026i \(0.160826\pi\)
\(734\) −8.79081 + 7.37637i −0.324475 + 0.272267i
\(735\) −24.1915 + 33.3152i −0.892316 + 1.22885i
\(736\) 0.470016 0.171072i 0.0173250 0.00630579i
\(737\) 12.5288 + 7.23353i 0.461506 + 0.266450i
\(738\) −19.7330 + 4.14138i −0.726381 + 0.152446i
\(739\) −9.38414 16.2538i −0.345201 0.597906i 0.640189 0.768217i \(-0.278856\pi\)
−0.985390 + 0.170311i \(0.945523\pi\)
\(740\) −1.30259 1.09300i −0.0478842 0.0401796i
\(741\) −3.12252 5.21190i −0.114709 0.191464i
\(742\) −18.6851 + 5.55052i −0.685951 + 0.203766i
\(743\) −23.6224 + 4.16527i −0.866623 + 0.152809i −0.589247 0.807953i \(-0.700576\pi\)
−0.277375 + 0.960762i \(0.589465\pi\)
\(744\) 13.5954 0.219830i 0.498432 0.00805936i
\(745\) −2.94835 + 3.51371i −0.108019 + 0.128732i
\(746\) −0.673282 + 0.388719i −0.0246506 + 0.0142320i
\(747\) 40.4603 1.30878i 1.48037 0.0478859i
\(748\) −1.81335 1.04694i −0.0663028 0.0382799i
\(749\) 25.2665 12.6218i 0.923217 0.461192i
\(750\) −2.94357 + 8.51319i −0.107484 + 0.310858i
\(751\) −20.7273 + 17.3923i −0.756349 + 0.634653i −0.937174 0.348863i \(-0.886568\pi\)
0.180824 + 0.983515i \(0.442123\pi\)
\(752\) −2.17304 0.790920i −0.0792425 0.0288419i
\(753\) −15.8503 + 6.06099i −0.577617 + 0.220875i
\(754\) −3.54661 0.625362i −0.129160 0.0227743i
\(755\) 6.39393 0.232699
\(756\) −12.8622 4.85421i −0.467794 0.176546i
\(757\) −43.5505 −1.58287 −0.791435 0.611253i \(-0.790666\pi\)
−0.791435 + 0.611253i \(0.790666\pi\)
\(758\) −5.79870 1.02247i −0.210618 0.0371377i
\(759\) −0.128536 + 0.804850i −0.00466557 + 0.0292142i
\(760\) 25.2590 + 9.19351i 0.916239 + 0.333484i
\(761\) −20.7716 + 17.4294i −0.752968 + 0.631815i −0.936286 0.351238i \(-0.885761\pi\)
0.183318 + 0.983054i \(0.441316\pi\)
\(762\) −6.80607 + 1.31389i −0.246558 + 0.0475972i
\(763\) −3.62173 7.25000i −0.131115 0.262468i
\(764\) 19.2189 + 11.0960i 0.695314 + 0.401440i
\(765\) 3.21325 22.4447i 0.116175 0.811490i
\(766\) −26.3681 + 15.2236i −0.952719 + 0.550053i
\(767\) 0.000944215 0.00112527i 3.40936e−5 4.06312e-5i
\(768\) −0.841661 + 1.51381i −0.0303708 + 0.0546247i