Properties

Label 378.2.z.a.41.3
Level $378$
Weight $2$
Character 378.41
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 41.3
Character \(\chi\) \(=\) 378.41
Dual form 378.2.z.a.83.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(-1.34465 + 1.09174i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-2.60134 - 2.18278i) q^{5} +(1.13465 - 1.30865i) q^{6} +(-0.615646 + 2.57313i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.616190 - 2.93604i) q^{9} +O(q^{10})\) \(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} +(-0.615646 + 2.57313i) 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} +(0.159475 - 2.64094i) 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} +(-1.98136 - 4.13209i) 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} +(7.21807 - 5.34975i) 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} +(2.66879 + 3.72526i) 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} +(-6.24196 - 3.16827i) 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} +(-0.753398 - 2.53622i) 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} +(7.17544 + 3.39309i) 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} +(-6.17944 + 6.52188i) 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} +(-2.22674 + 1.11236i) 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} +(-3.27513 - 3.20523i) 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} +(0.466684 - 1.07558i) 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} +(6.69729 + 2.03623i) 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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984808 + 0.173648i −0.696364 + 0.122788i
\(3\) −1.34465 + 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 \(-0.552248\pi\)
−0.999946 + 0.0103897i \(0.996693\pi\)
\(6\) 1.13465 1.30865i 0.463218 0.534256i
\(7\) −0.615646 + 2.57313i −0.232692 + 0.972550i
\(8\) −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 0.849467 0.527641i \(-0.176923\pi\)
−0.667134 + 0.744938i \(0.732479\pi\)
\(12\) −0.890163 + 1.48580i −0.256968 + 0.428914i
\(13\) −0.436415 0.0769517i −0.121040 0.0213426i 0.112800 0.993618i \(-0.464018\pi\)
−0.233840 + 0.972275i \(0.575129\pi\)
\(14\) 0.159475 2.64094i 0.0426214 0.705821i
\(15\) 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 \(-0.746343\pi\)
0.968836 + 0.247705i \(0.0796763\pi\)
\(18\) −0.0969913 + 2.99843i −0.0228611 + 0.706737i
\(19\) 6.85516 3.95783i 1.57268 0.907988i 0.576843 0.816855i \(-0.304284\pi\)
0.995839 0.0911335i \(-0.0290490\pi\)
\(20\) −3.19101 1.16143i −0.713532 0.259704i
\(21\) −1.98136 4.13209i −0.432369 0.901697i
\(22\) −0.720693 0.604733i −0.153652 0.128930i
\(23\) −0.171072 0.470016i −0.0356710 0.0980051i 0.920579 0.390557i \(-0.127718\pi\)
−0.956250 + 0.292552i \(0.905495\pi\)
\(24\) 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 0.629123 0.777305i \(-0.283414\pi\)
0.857037 + 0.515255i \(0.172303\pi\)
\(30\) −5.80810 + 0.927567i −1.06041 + 0.169350i
\(31\) 2.68497 + 7.37690i 0.482236 + 1.32493i 0.907572 + 0.419896i \(0.137933\pi\)
−0.425337 + 0.905035i \(0.639844\pi\)
\(32\) −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
\(35\) 7.21807 5.34975i 1.22008 0.904272i
\(36\) −0.425154 2.96972i −0.0708591 0.494954i
\(37\) −0.250369 + 0.433653i −0.0411605 + 0.0712920i −0.885872 0.463930i \(-0.846439\pi\)
0.844711 + 0.535222i \(0.179772\pi\)
\(38\) −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 −0.747149 0.664657i \(-0.768578\pi\)
0.929416 0.369033i \(-0.120311\pi\)
\(42\) 2.66879 + 3.72526i 0.411804 + 0.574820i
\(43\) 3.79011 3.18028i 0.577987 0.484988i −0.306299 0.951935i \(-0.599091\pi\)
0.884285 + 0.466947i \(0.154646\pi\)
\(44\) 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 \(-0.334946\pi\)
−0.178636 + 0.983915i \(0.557168\pi\)
\(48\) −0.328305 + 1.70065i −0.0473868 + 0.245468i
\(49\) −6.24196 3.16827i −0.891708 0.452610i
\(50\) −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 \(0.168872\pi\)
−0.862540 + 0.505989i \(0.831128\pi\)
\(54\) −3.14310 4.13774i −0.427722 0.563076i
\(55\) 3.19476i 0.430782i
\(56\) −0.753398 2.53622i −0.100677 0.338916i
\(57\) −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 \(-0.277846\pi\)
−0.642953 + 0.765906i \(0.722291\pi\)
\(60\) 5.55879 1.92204i 0.717637 0.248135i
\(61\) 4.17042 11.4581i 0.533967 1.46706i −0.320344 0.947301i \(-0.603798\pi\)
0.854311 0.519762i \(-0.173979\pi\)
\(62\) −3.92517 6.79859i −0.498497 0.863422i
\(63\) 7.17544 + 3.39309i 0.904020 + 0.427490i
\(64\) 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 −0.174702 0.984621i \(-0.555896\pi\)
0.500927 0.865490i \(-0.332993\pi\)
\(68\) 0.386479 2.19183i 0.0468675 0.265799i
\(69\) 0.743170 + 0.445243i 0.0894671 + 0.0536009i
\(70\) −6.17944 + 6.52188i −0.738584 + 0.779513i
\(71\) −10.3605 5.98164i −1.22956 0.709889i −0.262626 0.964898i \(-0.584588\pi\)
−0.966939 + 0.255008i \(0.917922\pi\)
\(72\) 0.934382 + 2.85078i 0.110118 + 0.335967i
\(73\) −3.87195 + 2.23547i −0.453177 + 0.261642i −0.709171 0.705036i \(-0.750931\pi\)
0.255994 + 0.966678i \(0.417597\pi\)
\(74\) 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
\(77\) −2.22674 + 1.11236i −0.253760 + 0.126766i
\(78\) −0.595880 + 0.483804i −0.0674701 + 0.0547800i
\(79\) 1.93918 + 10.9977i 0.218175 + 1.23733i 0.875311 + 0.483561i \(0.160657\pi\)
−0.657135 + 0.753773i \(0.728232\pi\)
\(80\) −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 −0.790369 0.612631i \(-0.790111\pi\)
0.533172 0.846007i \(-0.321000\pi\)
\(84\) −3.27513 3.20523i −0.357346 0.349719i
\(85\) −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 0.999513 + 0.0312137i \(0.00993725\pi\)
−0.472724 + 0.881210i \(0.656729\pi\)
\(90\) 6.79722 7.58822i 0.716490 0.799868i
\(91\) 0.466684 1.07558i 0.0489218 0.112751i
\(92\) −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 \(-0.196482\pi\)
−0.711619 + 0.702565i \(0.752038\pi\)
\(98\) 6.69729 + 2.03623i 0.676529 + 0.205691i
\(99\) 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 \(-0.139545\pi\)
0.420750 + 0.907177i \(0.361767\pi\)
\(102\) −1.25973 3.64329i −0.124731 0.360740i
\(103\) 6.25058 7.44915i 0.615888 0.733987i −0.364470 0.931215i \(-0.618750\pi\)
0.980358 + 0.197229i \(0.0631941\pi\)
\(104\) 0.416422 0.151565i 0.0408336 0.0148622i
\(105\) −3.86526 + 15.0738i −0.377211 + 1.47106i
\(106\) −1.27932 7.25539i −0.124259 0.704705i
\(107\) 10.6751i 1.03200i 0.856588 + 0.516001i \(0.172580\pi\)
−0.856588 + 0.516001i \(0.827420\pi\)
\(108\) 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
\(112\) 1.18236 + 2.36686i 0.111723 + 0.223647i
\(113\) −8.27791 + 9.86522i −0.778720 + 0.928042i −0.998875 0.0474227i \(-0.984899\pi\)
0.220155 + 0.975465i \(0.429344\pi\)
\(114\) 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
\(119\) 4.27451 + 4.05007i 0.391843 + 0.371269i
\(120\) −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
\(126\) −7.65563 2.09554i −0.682018 0.186686i
\(127\) 2.00102 + 3.46586i 0.177562 + 0.307546i 0.941045 0.338282i \(-0.109846\pi\)
−0.763483 + 0.645828i \(0.776512\pi\)
\(128\) −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 \(-0.580780\pi\)
0.429874 + 0.902889i \(0.358558\pi\)
\(132\) −1.60912 + 0.256980i −0.140056 + 0.0223672i
\(133\) 5.96364 + 20.0758i 0.517113 + 1.74079i
\(134\) 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 −0.158030 0.987434i \(-0.550514\pi\)
0.189223 + 0.981934i \(0.439403\pi\)
\(138\) −0.809195 0.309428i −0.0688833 0.0263403i
\(139\) −2.62642 7.21603i −0.222770 0.612056i 0.777079 0.629403i \(-0.216700\pi\)
−0.999850 + 0.0173467i \(0.994478\pi\)
\(140\) 4.95305 7.49584i 0.418609 0.633514i
\(141\) −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
\(147\) 11.8522 2.55439i 0.977555 0.210683i
\(148\) −0.0869524 + 0.493131i −0.00714744 + 0.0405352i
\(149\) −1.33021 0.234552i −0.108975 0.0192153i 0.118895 0.992907i \(-0.462065\pi\)
−0.227870 + 0.973692i \(0.573176\pi\)
\(150\) 9.70449 + 5.81408i 0.792368 + 0.474718i
\(151\) 1.44238 1.21030i 0.117379 0.0984928i −0.582209 0.813039i \(-0.697811\pi\)
0.699588 + 0.714547i \(0.253367\pi\)
\(152\) −3.95783 + 6.85516i −0.321022 + 0.556027i
\(153\) −4.97340 4.45497i −0.402075 0.360163i
\(154\) 1.99975 1.48213i 0.161144 0.119434i
\(155\) 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 \(-0.633669\pi\)
0.970040 + 0.242944i \(0.0781132\pi\)
\(158\) −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 \(-0.0451267\pi\)
0.0327573 + 0.999463i \(0.489571\pi\)
\(168\) 3.78196 + 2.58782i 0.291784 + 0.199654i
\(169\) −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 \(-0.586639\pi\)
0.901870 + 0.432007i \(0.142194\pi\)
\(174\) 7.23407 12.0746i 0.548414 0.915376i
\(175\) −17.2493 1.04161i −1.30392 0.0787380i
\(176\) 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 0.751509 0.659723i \(-0.229326\pi\)
−0.195582 + 0.980687i \(0.562660\pi\)
\(180\) −5.37628 + 8.65326i −0.400724 + 0.644976i
\(181\) −6.94977 + 4.01245i −0.516572 + 0.298243i −0.735531 0.677491i \(-0.763067\pi\)
0.218959 + 0.975734i \(0.429734\pi\)
\(182\) −0.272822 + 1.14027i −0.0202229 + 0.0845228i
\(183\) 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
\(189\) −13.3529 + 3.27120i −0.971279 + 0.237945i
\(190\) 26.8800 1.95008
\(191\) 21.8549 3.85361i 1.58136 0.278837i 0.687163 0.726503i \(-0.258856\pi\)
0.894201 + 0.447666i \(0.147745\pi\)
\(192\) 0.273151 + 1.71038i 0.0197130 + 0.123436i
\(193\) 23.8391 8.67673i 1.71598 0.624565i 0.718499 0.695528i \(-0.244830\pi\)
0.997479 + 0.0709632i \(0.0226073\pi\)
\(194\) −1.21886 1.02275i −0.0875091 0.0734289i
\(195\) −2.55921 0.494048i −0.183269 0.0353795i
\(196\) −6.94914 0.842326i −0.496367 0.0601661i
\(197\) 1.35235 0.780778i 0.0963507 0.0556281i −0.451050 0.892498i \(-0.648951\pi\)
0.547401 + 0.836870i \(0.315617\pi\)
\(198\) −2.21960 + 1.74335i −0.157740 + 0.123894i
\(199\) 13.8280 + 7.98362i 0.980244 + 0.565944i 0.902344 0.431017i \(-0.141845\pi\)
0.0778999 + 0.996961i \(0.475179\pi\)
\(200\) −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
\(203\) −1.29600 + 21.4621i −0.0909613 + 1.50634i
\(204\) 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
\(210\) 1.18899 15.5160i 0.0820482 1.07071i
\(211\) −19.9260 16.7199i −1.37176 1.15105i −0.972149 0.234365i \(-0.924699\pi\)
−0.399616 0.916683i \(-0.630857\pi\)
\(212\) 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 0.632551 + 0.774519i \(0.282008\pi\)
−0.982413 + 0.186720i \(0.940214\pi\)
\(224\) −1.57540 2.12559i −0.105261 0.142022i
\(225\) 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 −0.223361 + 0.974736i \(0.571703\pi\)
−0.998714 + 0.0507061i \(0.983853\pi\)
\(228\) −0.221659 + 13.7085i −0.0146797 + 0.907870i
\(229\) −12.0270 2.12068i −0.794764 0.140138i −0.238498 0.971143i \(-0.576655\pi\)
−0.556265 + 0.831005i \(0.687766\pi\)
\(230\) 0.294944 1.67271i 0.0194480 0.110295i
\(231\) 1.77977 3.92677i 0.117101 0.258362i
\(232\) −6.22540 + 5.22373i −0.408717 + 0.342955i
\(233\) −3.32396 1.91909i −0.217760 0.125724i 0.387153 0.922016i \(-0.373459\pi\)
−0.604913 + 0.796292i \(0.706792\pi\)
\(234\) 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
\(238\) −4.91285 3.24628i −0.318453 0.210425i
\(239\) 5.85260 + 16.0799i 0.378573 + 1.04012i 0.971948 + 0.235196i \(0.0755731\pi\)
−0.593375 + 0.804926i \(0.702205\pi\)
\(240\) 4.56618 3.70735i 0.294746 0.239308i
\(241\) −17.9121 + 3.15839i −1.15382 + 0.203450i −0.717644 0.696410i \(-0.754780\pi\)
−0.436179 + 0.899860i \(0.643668\pi\)
\(242\) 10.1149i 0.650210i
\(243\) 15.0311 4.13127i 0.964243 0.265021i
\(244\) 12.1935i 0.780608i
\(245\) 9.32179 + 21.8666i 0.595548 + 1.39700i
\(246\) −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 \(-0.0666043\pi\)
−0.668985 + 0.743276i \(0.733271\pi\)
\(252\) 7.90321 + 0.734322i 0.497856 + 0.0462579i
\(253\) 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 −0.800249 0.599668i \(-0.795299\pi\)
0.957086 0.289803i \(-0.0935897\pi\)
\(258\) 0.138547 8.56844i 0.00862555 0.533448i
\(259\) −0.961704 0.911209i −0.0597574 0.0566198i
\(260\) 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 0.746526 + 0.665356i \(0.231720\pi\)
−0.999555 + 0.0298351i \(0.990502\pi\)
\(264\) 1.54005 0.532496i 0.0947834 0.0327729i
\(265\) 16.0812 19.1649i 0.987862 1.17729i
\(266\) −9.35917 18.7352i −0.573847 1.14873i
\(267\) −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 \(-0.460573\pi\)
0.123549 + 0.992339i \(0.460573\pi\)
\(270\) −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
\(273\) 0.546725 + 1.95578i 0.0330893 + 0.118369i
\(274\) −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 0.779326 0.626618i \(-0.215561\pi\)
0.194216 + 0.980959i \(0.437784\pi\)
\(278\) 3.83957 + 6.65033i 0.230282 + 0.398860i
\(279\) 23.3133 3.33761i 1.39573 0.199817i
\(280\) −3.57616 + 8.24205i −0.213717 + 0.492557i
\(281\) −13.9815 16.6625i −0.834067 0.994003i −0.999969 0.00786044i \(-0.997498\pi\)
0.165902 0.986142i \(-0.446947\pi\)
\(282\) 3.50067 1.94634i 0.208462 0.115903i
\(283\) −15.6562 2.76061i −0.930665 0.164101i −0.312292 0.949986i \(-0.601097\pi\)
−0.618373 + 0.785885i \(0.712208\pi\)
\(284\) −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
\(287\) 16.3126 + 7.07792i 0.962904 + 0.417796i
\(288\) 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 \(-0.501518\pi\)
0.639127 + 0.769102i \(0.279296\pi\)
\(294\) −11.2286 + 4.57370i −0.654865 + 0.266744i
\(295\) 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
\(301\) 5.84990 + 11.7104i 0.337182 + 0.674974i
\(302\) −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 \(-0.235455\pi\)
−0.214428 + 0.976740i \(0.568789\pi\)
\(308\) −1.71200 + 1.80687i −0.0975501 + 0.102956i
\(309\) −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 −0.785061 0.619418i \(-0.787369\pi\)
0.949570 0.313556i \(-0.101520\pi\)
\(312\) −0.394474 + 0.658430i −0.0223327 + 0.0372762i
\(313\) −15.9842 19.0492i −0.903479 1.07672i −0.996708 0.0810793i \(-0.974163\pi\)
0.0932289 0.995645i \(-0.470281\pi\)
\(314\) −5.48090 + 9.49320i −0.309305 + 0.535732i
\(315\) −11.2593 24.4890i −0.634392 1.37980i
\(316\) 5.58366 + 9.67118i 0.314105 + 0.544047i
\(317\) 6.00784 16.5064i 0.337434 0.927092i −0.648686 0.761056i \(-0.724681\pi\)
0.986120 0.166035i \(-0.0530966\pi\)
\(318\) 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
\(322\) −1.26857 + 0.376835i −0.0706944 + 0.0210002i
\(323\) 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
\(329\) −3.37296 + 5.10457i −0.185957 + 0.281424i
\(330\) −4.18084 3.62493i −0.230148 0.199546i
\(331\) −6.81196 2.47935i −0.374419 0.136278i 0.147954 0.988994i \(-0.452731\pi\)
−0.522374 + 0.852717i \(0.674953\pi\)
\(332\) −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
\(336\) −4.17387 1.89177i −0.227703 0.103205i
\(337\) −1.90759 + 10.8185i −0.103913 + 0.589320i 0.887736 + 0.460353i \(0.152277\pi\)
−0.991649 + 0.128967i \(0.958834\pi\)
\(338\) 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
\(343\) 11.9952 14.1108i 0.647680 0.761912i
\(344\) −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 0.883120 0.469147i \(-0.155438\pi\)
−0.978071 + 0.208271i \(0.933216\pi\)
\(348\) −5.02743 + 13.1474i −0.269499 + 0.704774i
\(349\) −12.2071 + 2.15244i −0.653432 + 0.115218i −0.490530 0.871425i \(-0.663197\pi\)
−0.162902 + 0.986642i \(0.552086\pi\)
\(350\) 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 −0.981801 0.189910i \(-0.939180\pi\)
0.857638 0.514253i \(-0.171931\pi\)
\(354\) −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
\(357\) −10.1694 0.779277i −0.538220 0.0412437i
\(358\) −8.07048 2.93742i −0.426538 0.155247i
\(359\) −12.5072 + 7.22101i −0.660103 + 0.381110i −0.792316 0.610111i \(-0.791125\pi\)
0.132214 + 0.991221i \(0.457792\pi\)
\(360\) 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
\(364\) 0.0706708 1.17033i 0.00370415 0.0613417i
\(365\) 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 \(-0.319046\pi\)
−0.923399 + 0.383841i \(0.874601\pi\)
\(368\) −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
\(371\) −18.9570 4.53566i −0.984200 0.235480i
\(372\) −13.3507 2.57731i −0.692201 0.133627i
\(373\) 0.595553 + 0.499728i 0.0308366 + 0.0258749i 0.658076 0.752952i \(-0.271371\pi\)
−0.627239 + 0.778827i \(0.715815\pi\)
\(374\) −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
\(378\) 12.5820 5.54021i 0.647147 0.284958i
\(379\) 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 −0.999826 0.0186386i \(-0.994067\pi\)
−0.191973 0.981400i \(-0.561489\pi\)
\(384\) −0.566005 1.63696i −0.0288838 0.0835358i
\(385\) 8.22053 + 1.96684i 0.418957 + 0.100240i
\(386\) −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 0.624993 0.780630i \(-0.285102\pi\)
−0.877300 + 0.479943i \(0.840657\pi\)
\(390\) 2.60612 + 0.0421395i 0.131966 + 0.00213382i
\(391\) −1.09631 0.193309i −0.0554429 0.00977608i
\(392\) 6.98983 0.377176i 0.353040 0.0190502i
\(393\) −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 \(-0.794844\pi\)
0.120624 + 0.992698i \(0.461510\pi\)
\(398\) −15.0043 5.46112i −0.752098 0.273741i
\(399\) −29.9367 20.4843i −1.49871 1.02550i
\(400\) 5.00340 + 4.19835i 0.250170 + 0.209918i
\(401\) 0.945466 + 2.59765i 0.0472143 + 0.129720i 0.961059 0.276344i \(-0.0891230\pi\)
−0.913844 + 0.406065i \(0.866901\pi\)
\(402\) −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 0.898525 + 0.438923i \(0.144640\pi\)
−0.406175 + 0.913795i \(0.633138\pi\)
\(410\) 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
\(413\) 0.00704586 0.00522211i 0.000346704 0.000256963i
\(414\) 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 0.322142 + 0.946691i \(0.395597\pi\)
−0.626502 + 0.779420i \(0.715514\pi\)
\(420\) 1.52340 + 15.4868i 0.0743345 + 0.755677i
\(421\) 4.15270 3.48453i 0.202390 0.169825i −0.535959 0.844244i \(-0.680050\pi\)
0.738349 + 0.674418i \(0.235606\pi\)
\(422\) 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
\(427\) 26.9157 + 17.7852i 1.30254 + 0.860685i
\(428\) 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 \(-0.688851\pi\)
0.559094 0.829104i \(-0.311149\pi\)
\(432\) 4.79088 + 2.01184i 0.230501 + 0.0967947i
\(433\) 18.9403i 0.910213i −0.890437 0.455107i \(-0.849601\pi\)
0.890437 0.455107i \(-0.150399\pi\)
\(434\) 19.9102 5.91443i 0.955718 0.283902i
\(435\) 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 \(-0.863667\pi\)
0.963817 + 0.266565i \(0.0858888\pi\)
\(440\) 1.59738 + 2.76675i 0.0761522 + 0.131899i
\(441\) −13.1484 + 16.3744i −0.626114 + 0.779732i
\(442\) 0.493144 0.854151i 0.0234565 0.0406278i
\(443\) 15.9592 + 19.0194i 0.758245 + 0.903641i 0.997736 0.0672576i \(-0.0214249\pi\)
−0.239491 + 0.970899i \(0.576980\pi\)
\(444\) −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
\(448\) 1.92057 + 1.81973i 0.0907384 + 0.0859741i
\(449\) 2.44182 + 1.40979i 0.115237 + 0.0665320i 0.556511 0.830841i \(-0.312140\pi\)
−0.441274 + 0.897373i \(0.645473\pi\)
\(450\) −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
\(455\) −3.56175 + 1.77927i −0.166977 + 0.0834133i
\(456\) −2.16217 13.5388i −0.101253 0.634010i
\(457\) −0.972923 5.51772i −0.0455114 0.258108i 0.953560 0.301205i \(-0.0973887\pi\)
−0.999071 + 0.0430967i \(0.986278\pi\)
\(458\) 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 −0.820178 0.572109i \(-0.806125\pi\)
0.575042 0.818124i \(-0.304986\pi\)
\(462\) −1.07086 + 4.17617i −0.0498209 + 0.194293i
\(463\) −26.8268 + 9.76416i −1.24675 + 0.453779i −0.879301 0.476266i \(-0.841990\pi\)
−0.367446 + 0.930045i \(0.619768\pi\)
\(464\) 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 \(-0.186636\pi\)
−0.895669 + 0.444721i \(0.853303\pi\)
\(468\) −0.0429814 + 1.32875i −0.00198682 + 0.0614214i
\(469\) 37.3230 + 16.1942i 1.72342 + 0.747777i
\(470\) 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
\(476\) 5.40193 + 2.34385i 0.247597 + 0.107430i
\(477\) 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 \(-0.327897\pi\)
−0.156805 + 0.987630i \(0.550119\pi\)
\(480\) −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
\(483\) −1.60320 + 1.63816i −0.0729479 + 0.0745388i
\(484\) −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
\(490\) −12.9773 19.9157i −0.586253 0.899697i
\(491\) 20.0310 23.8720i 0.903988 1.07733i −0.0926747 0.995696i \(-0.529542\pi\)
0.996662 0.0816341i \(-0.0260139\pi\)
\(492\) 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
\(497\) 21.7699 22.9763i 0.976514 1.03063i
\(498\) −20.0492 12.0117i −0.898425 0.538258i
\(499\) −2.06289 + 11.6992i −0.0923476 + 0.523729i 0.903180 + 0.429261i \(0.141226\pi\)
−0.995528 + 0.0944679i \(0.969885\pi\)
\(500\) 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 \(-0.916471\pi\)
0.707541 + 0.706673i \(0.249805\pi\)
\(504\) −7.91066 + 0.649213i −0.352369 + 0.0289182i
\(505\) −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 \(-0.765514\pi\)
−0.135585 + 0.990766i \(0.543291\pi\)
\(510\) −4.67553 + 12.2271i −0.207036 + 0.541427i
\(511\) −3.36840 11.3393i −0.149009 0.501620i
\(512\) 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
\(518\) 1.10532 + 0.730367i 0.0485651 + 0.0320905i
\(519\) −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 \(-0.114554\pi\)
−0.772952 + 0.634464i \(0.781221\pi\)
\(522\) 3.45509 + 24.1340i 0.151225 + 1.05632i
\(523\) 0.241039 + 0.139164i 0.0105399 + 0.00608521i 0.505261 0.862967i \(-0.331396\pi\)
−0.494721 + 0.869052i \(0.664730\pi\)
\(524\) 1.66839 1.39995i 0.0728840 0.0611569i
\(525\) 24.3314 17.4312i 1.06191 0.760759i
\(526\) 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
\(532\) 12.4703 + 16.8254i 0.540657 + 0.729474i
\(533\) −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
\(546\) −0.878036 1.83113i −0.0375765 0.0783650i
\(547\) 10.6978 + 3.89368i 0.457405 + 0.166482i 0.560438 0.828196i \(-0.310633\pi\)
−0.103034 + 0.994678i \(0.532855\pi\)
\(548\) 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
\(553\) −29.4922 1.78090i −1.25414 0.0757317i
\(554\) −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 −0.133800 0.991008i \(-0.542718\pi\)
−0.925138 + 0.379630i \(0.876051\pi\)
\(558\) −22.3796 + 7.33521i −0.947402 + 0.310524i
\(559\) −1.89879 + 1.09627i −0.0803102 + 0.0463671i
\(560\) 2.09061 8.73783i 0.0883446 0.369241i
\(561\) −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 \(-0.734514\pi\)
−0.0386046 + 0.999255i \(0.512291\pi\)
\(564\) −3.10951 + 2.52465i −0.130934 + 0.106307i
\(565\) 43.0672 7.59392i 1.81185 0.319478i
\(566\) 15.8977 0.668232
\(567\) 14.3837 18.9766i 0.604058 0.796940i
\(568\) 11.9633 0.501968
\(569\) 39.2969 6.92910i 1.64741 0.290483i 0.728529 0.685015i \(-0.240205\pi\)
0.918882 + 0.394532i \(0.129093\pi\)
\(570\) −36.1443 + 29.3461i −1.51392 + 1.22917i
\(571\) 1.84609 0.671920i 0.0772563 0.0281190i −0.303103 0.952958i \(-0.598023\pi\)
0.380359 + 0.924839i \(0.375800\pi\)
\(572\) −0.319373 0.267986i −0.0133537 0.0112051i
\(573\) −25.1801 + 29.0417i −1.05191 + 1.21323i
\(574\) −17.2939 4.13773i −0.721832 0.172706i
\(575\) 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 \(-0.507860\pi\)
−0.878107 + 0.478464i \(0.841194\pi\)
\(578\) −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
\(581\) 35.6364 + 2.15192i 1.47845 + 0.0892768i
\(582\) 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 \(-0.507539\pi\)
−0.660749 + 0.750607i \(0.729761\pi\)
\(588\) 10.2638 6.45404i 0.423272 0.266160i
\(589\) 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 \(-0.797244\pi\)
−0.803897 + 0.594769i \(0.797244\pi\)
\(594\) 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 −0.996898 0.0787012i \(-0.974923\pi\)
0.250615 + 0.968087i \(0.419367\pi\)
\(600\) 11.1078 + 2.14432i 0.453473 + 0.0875415i
\(601\) −14.3707 + 39.4833i −0.586195 + 1.61056i 0.191205 + 0.981550i \(0.438761\pi\)
−0.777400 + 0.629007i \(0.783462\pi\)
\(602\) −7.79451 10.5166i −0.317680 0.428626i
\(603\) −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 \(-0.192190\pi\)
0.579365 + 0.815068i \(0.303301\pi\)
\(608\) −1.37454 + 7.79540i −0.0557449 + 0.316145i
\(609\) −21.6884 30.2740i −0.878859 1.22676i
\(610\) 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 0.997751 0.0670280i \(-0.0213517\pi\)
−0.556924 + 0.830564i \(0.688018\pi\)
\(614\) −9.96678 3.62761i −0.402226 0.146398i
\(615\) 7.49293 38.8140i 0.302144 1.56513i
\(616\) 1.37223 2.07670i 0.0552886 0.0836727i
\(617\) 1.42517 + 3.91563i 0.0573753 + 0.157637i 0.965069 0.261996i \(-0.0843808\pi\)
−0.907694 + 0.419634i \(0.862159\pi\)
\(618\) −2.65617 16.6320i −0.106847 0.669037i
\(619\) 24.0454 4.23985i 0.966465 0.170414i 0.331926 0.943305i \(-0.392301\pi\)
0.634538 + 0.772891i \(0.281190\pi\)
\(620\) 26.6582i 1.07062i
\(621\) 1.76518 1.90762i 0.0708343 0.0765502i
\(622\) 16.7070i 0.669889i
\(623\) −25.2085 + 7.48834i −1.00996 + 0.300014i
\(624\) 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
\(630\) 15.3408 + 22.1618i 0.611190 + 0.882946i
\(631\) −15.9614 + 27.6460i −0.635414 + 1.10057i 0.351013 + 0.936370i \(0.385837\pi\)
−0.986427 + 0.164199i \(0.947496\pi\)
\(632\) −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
\(637\) 2.48028 + 1.86301i 0.0982723 + 0.0738152i
\(638\) −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 −0.998804 0.0488858i \(-0.984433\pi\)
0.796552 + 0.604570i \(0.206655\pi\)
\(642\) 13.9700 + 12.1125i 0.551353 + 0.478041i
\(643\) −2.88719 + 3.44082i −0.113860 + 0.135693i −0.819964 0.572415i \(-0.806007\pi\)
0.706104 + 0.708108i \(0.250451\pi\)
\(644\) 1.18386 0.591394i 0.0466505 0.0233042i
\(645\) 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 \(-0.702666\pi\)
−0.594539 + 0.804067i \(0.702666\pi\)
\(648\) 8.94574 0.986759i 0.351422 0.0387636i
\(649\) 0.00311854i 0.000122413i
\(650\) 0.502609 + 2.85044i 0.0197139 + 0.111803i
\(651\) 25.1622 25.7109i 0.986182 1.00769i
\(652\) 17.8423 6.49405i 0.698757 0.254327i
\(653\) 16.6977 19.8996i 0.653433 0.778731i −0.332995 0.942929i \(-0.608059\pi\)
0.986427 + 0.164198i \(0.0525036\pi\)
\(654\) −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
\(658\) 2.43532 5.61273i 0.0949386 0.218807i
\(659\) 19.5219 + 23.2653i 0.760465 + 0.906286i 0.997877 0.0651225i \(-0.0207438\pi\)
−0.237413 + 0.971409i \(0.576299\pi\)
\(660\) 4.74679 + 2.84386i 0.184769 + 0.110697i
\(661\) −14.4693 2.55133i −0.562790 0.0992351i −0.114987 0.993367i \(-0.536682\pi\)
−0.447804 + 0.894132i \(0.647794\pi\)
\(662\) 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
\(665\) 28.3077 65.2413i 1.09772 2.52995i
\(666\) −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
\(672\) 4.43896 + 1.13825i 0.171237 + 0.0439088i
\(673\) 1.42459 + 8.07926i 0.0549140 + 0.311433i 0.999876 0.0157474i \(-0.00501276\pi\)
−0.944962 + 0.327180i \(0.893902\pi\)
\(674\) 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 0.999387 + 0.0350113i \(0.0111467\pi\)
−0.927142 + 0.374710i \(0.877742\pi\)
\(678\) 3.51767 + 22.0265i 0.135095 + 0.845921i
\(679\) −3.76593 + 1.88127i −0.144523 + 0.0721964i
\(680\) 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 −0.0428831 0.999080i \(-0.513654\pi\)
0.843787 + 0.536678i \(0.180321\pi\)
\(684\) −14.6682 18.6752i −0.560851 0.714065i
\(685\) −1.09028 0.629475i −0.0416576 0.0240510i
\(686\) −9.36265 + 15.9794i −0.357468 + 0.610096i
\(687\) 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 \(-0.100257\pi\)
−0.470184 + 0.882568i \(0.655813\pi\)
\(692\) 5.43459 9.41298i 0.206592 0.357828i
\(693\) 1.89385 + 7.22320i 0.0719412 + 0.274387i
\(694\) 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
\(700\) −16.5652 + 4.92080i −0.626107 + 0.185989i
\(701\) 18.0132i 0.680350i −0.940362 0.340175i \(-0.889514\pi\)
0.940362 0.340175i \(-0.110486\pi\)
\(702\) 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
\(707\) −20.6876 + 31.3081i −0.778036 + 1.17746i
\(708\) 0.00542617 0.00187618i 0.000203928 7.05113e-5i
\(709\) 4.09818 + 1.49162i 0.153910 + 0.0560188i 0.417827 0.908527i \(-0.362792\pi\)
−0.263916 + 0.964546i \(0.585014\pi\)
\(710\) −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
\(714\) 10.1502 0.998455i 0.379862 0.0373662i
\(715\) −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 0.390368 + 0.920659i \(0.372348\pi\)
−0.992498 + 0.122260i \(0.960986\pi\)
\(720\) −2.09246 + 9.97020i −0.0779814 + 0.371568i
\(721\) 15.3195 + 20.6696i 0.570527 + 0.769775i
\(722\) −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 \(-0.601273\pi\)
0.0309014 + 0.999522i \(0.490162\pi\)
\(728\) 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 \(-0.0613962\pi\)
−0.875054 + 0.484026i \(0.839174\pi\)
\(734\) 8.79081 + 7.37637i 0.324475 + 0.272267i
\(735\) −36.4073 19.2260i −1.34290 0.709160i
\(736\) 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 −0.985390 0.170311i \(-0.945523\pi\)
0.640189 + 0.768217i \(0.278856\pi\)
\(740\) 1.30259 1.09300i 0.0478842 0.0401796i
\(741\) 3.12252 5.21190i 0.114709 0.191464i
\(742\) 19.4566 + 1.17490i 0.714276 + 0.0431319i
\(743\) −23.6224 4.16527i −0.866623 0.152809i −0.277375 0.960762i \(-0.589465\pi\)
−0.589247 + 0.807953i \(0.700576\pi\)
\(744\) 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
\(749\) −27.4684 6.57209i −1.00367 0.240139i
\(750\) −2.94357 8.51319i −0.107484 0.310858i
\(751\) −20.7273 17.3923i −0.756349 0.634653i 0.180824 0.983515i \(-0.442123\pi\)
−0.937174 + 0.348863i \(0.886568\pi\)
\(752\) 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
\(756\) −11.4288 + 7.64088i −0.415661 + 0.277896i
\(757\) −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 \(-0.114239\pi\)
−0.183318 + 0.983054i \(0.558684\pi\)
\(762\) 6.80607 + 1.31389i 0.246558 + 0.0475972i
\(763\) 1.88580 7.88182i 0.0682707 0.285341i
\(764\) 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
\(769\) −14.7658