Properties

Label 380.2.bb.a.219.14
Level $380$
Weight $2$
Character 380.219
Analytic conductor $3.034$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [380,2,Mod(59,380)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(380, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 9, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("380.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 380.bb (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.03431527681\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(56\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 219.14
Character \(\chi\) \(=\) 380.219
Dual form 380.2.bb.a.59.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.997360 - 1.00263i) q^{2} +(0.300395 + 0.357997i) q^{3} +(-0.0105474 + 1.99997i) q^{4} +(-1.26326 + 1.84504i) q^{5} +(0.0593378 - 0.658238i) q^{6} +(-1.68031 + 2.91038i) q^{7} +(2.01576 - 1.98412i) q^{8} +(0.483020 - 2.73934i) q^{9} +O(q^{10})\) \(q+(-0.997360 - 1.00263i) q^{2} +(0.300395 + 0.357997i) q^{3} +(-0.0105474 + 1.99997i) q^{4} +(-1.26326 + 1.84504i) q^{5} +(0.0593378 - 0.658238i) q^{6} +(-1.68031 + 2.91038i) q^{7} +(2.01576 - 1.98412i) q^{8} +(0.483020 - 2.73934i) q^{9} +(3.10982 - 0.573580i) q^{10} +(-0.107274 + 0.0619346i) q^{11} +(-0.719153 + 0.597006i) q^{12} +(-4.63813 - 3.89185i) q^{13} +(4.59392 - 1.21796i) q^{14} +(-1.04000 + 0.101997i) q^{15} +(-3.99978 - 0.0421890i) q^{16} +(-5.27335 + 0.929834i) q^{17} +(-3.22830 + 2.24782i) q^{18} +(-4.35738 - 0.115147i) q^{19} +(-3.67670 - 2.54595i) q^{20} +(-1.54667 + 0.272719i) q^{21} +(0.169088 + 0.0457853i) q^{22} +(2.96562 - 1.07940i) q^{23} +(1.31583 + 0.125617i) q^{24} +(-1.80834 - 4.66153i) q^{25} +(0.723781 + 8.53191i) q^{26} +(2.33994 - 1.35096i) q^{27} +(-5.80296 - 3.39127i) q^{28} +(3.07901 + 0.542912i) q^{29} +(1.13952 + 0.941008i) q^{30} +(-3.24345 + 5.61782i) q^{31} +(3.94692 + 4.05239i) q^{32} +(-0.0543970 - 0.0197989i) q^{33} +(6.19171 + 4.35986i) q^{34} +(-3.24710 - 6.77681i) q^{35} +(5.47351 + 0.994919i) q^{36} +4.80607 q^{37} +(4.23042 + 4.48370i) q^{38} -2.82953i q^{39} +(1.11434 + 6.22561i) q^{40} +(1.73589 + 2.06876i) q^{41} +(1.81602 + 1.27874i) q^{42} +(-11.3069 - 4.11538i) q^{43} +(-0.122736 - 0.215198i) q^{44} +(4.44401 + 4.35170i) q^{45} +(-4.04003 - 1.89688i) q^{46} +(-1.96698 + 11.1553i) q^{47} +(-1.18641 - 1.44458i) q^{48} +(-2.14689 - 3.71852i) q^{49} +(-2.87024 + 6.46233i) q^{50} +(-1.91697 - 1.60853i) q^{51} +(7.83251 - 9.23507i) q^{52} +(0.110513 - 0.0402236i) q^{53} +(-3.68828 - 0.998703i) q^{54} +(0.0212432 - 0.276164i) q^{55} +(2.38744 + 9.20056i) q^{56} +(-1.26771 - 1.59452i) q^{57} +(-2.52653 - 3.62859i) q^{58} +(0.756119 + 4.28817i) q^{59} +(-0.193022 - 2.08104i) q^{60} +(-6.90121 + 2.51183i) q^{61} +(8.86750 - 2.35100i) q^{62} +(7.16091 + 6.00872i) q^{63} +(0.126564 - 7.99900i) q^{64} +(13.0398 - 3.64110i) q^{65} +(0.0344024 + 0.0742869i) q^{66} +(1.55757 + 0.274642i) q^{67} +(-1.80402 - 10.5564i) q^{68} +(1.27728 + 0.737438i) q^{69} +(-3.55613 + 10.0146i) q^{70} +(-2.80683 - 1.02160i) q^{71} +(-4.46152 - 6.48022i) q^{72} +(4.12772 + 4.91923i) q^{73} +(-4.79338 - 4.81873i) q^{74} +(1.12560 - 2.04768i) q^{75} +(0.276250 - 8.71342i) q^{76} -0.416278i q^{77} +(-2.83698 + 2.82206i) q^{78} +(-8.67515 + 7.27931i) q^{79} +(5.13060 - 7.32645i) q^{80} +(-6.65500 - 2.42222i) q^{81} +(0.342895 - 3.80376i) q^{82} +(3.57061 - 6.18447i) q^{83} +(-0.529117 - 3.09617i) q^{84} +(4.94604 - 10.9042i) q^{85} +(7.15084 + 15.4412i) q^{86} +(0.730558 + 1.26536i) q^{87} +(-0.0933528 + 0.337689i) q^{88} +(-2.78066 + 3.31386i) q^{89} +(-0.0691245 - 8.79592i) q^{90} +(19.1203 - 6.95921i) q^{91} +(2.12748 + 5.94254i) q^{92} +(-2.98548 + 0.526421i) q^{93} +(13.1465 - 9.15370i) q^{94} +(5.71696 - 7.89407i) q^{95} +(-0.265108 + 2.63030i) q^{96} +(-1.90434 - 10.8000i) q^{97} +(-1.58709 + 5.86124i) q^{98} +(0.117845 + 0.323776i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9} - 15 q^{10} + 18 q^{14} - 6 q^{16} - 42 q^{20} + 12 q^{21} + 12 q^{24} - 12 q^{25} + 18 q^{26} - 24 q^{29} - 24 q^{30} + 12 q^{34} - 6 q^{36} - 48 q^{40} - 12 q^{41} - 36 q^{44} - 6 q^{45} - 18 q^{46} - 108 q^{49} - 36 q^{50} + 36 q^{54} - 30 q^{60} - 24 q^{61} + 18 q^{64} - 18 q^{65} - 48 q^{66} - 180 q^{69} - 21 q^{70} - 30 q^{74} - 48 q^{76} + 3 q^{80} - 60 q^{81} + 90 q^{84} - 36 q^{85} + 102 q^{86} - 48 q^{89} - 78 q^{90} + 24 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.997360 1.00263i −0.705240 0.708969i
\(3\) 0.300395 + 0.357997i 0.173433 + 0.206690i 0.845758 0.533566i \(-0.179149\pi\)
−0.672325 + 0.740256i \(0.734704\pi\)
\(4\) −0.0105474 + 1.99997i −0.00527370 + 0.999986i
\(5\) −1.26326 + 1.84504i −0.564948 + 0.825127i
\(6\) 0.0593378 0.658238i 0.0242245 0.268725i
\(7\) −1.68031 + 2.91038i −0.635098 + 1.10002i 0.351397 + 0.936227i \(0.385707\pi\)
−0.986494 + 0.163795i \(0.947627\pi\)
\(8\) 2.01576 1.98412i 0.712678 0.701491i
\(9\) 0.483020 2.73934i 0.161007 0.913114i
\(10\) 3.10982 0.573580i 0.983413 0.181382i
\(11\) −0.107274 + 0.0619346i −0.0323443 + 0.0186740i −0.516085 0.856537i \(-0.672611\pi\)
0.483741 + 0.875211i \(0.339278\pi\)
\(12\) −0.719153 + 0.597006i −0.207602 + 0.172341i
\(13\) −4.63813 3.89185i −1.28638 1.07941i −0.992330 0.123616i \(-0.960551\pi\)
−0.294055 0.955789i \(-0.595005\pi\)
\(14\) 4.59392 1.21796i 1.22778 0.325514i
\(15\) −1.04000 + 0.101997i −0.268526 + 0.0263356i
\(16\) −3.99978 0.0421890i −0.999944 0.0105473i
\(17\) −5.27335 + 0.929834i −1.27898 + 0.225518i −0.771545 0.636175i \(-0.780516\pi\)
−0.507431 + 0.861693i \(0.669405\pi\)
\(18\) −3.22830 + 2.24782i −0.760918 + 0.529816i
\(19\) −4.35738 0.115147i −0.999651 0.0264166i
\(20\) −3.67670 2.54595i −0.822136 0.569291i
\(21\) −1.54667 + 0.272719i −0.337510 + 0.0595122i
\(22\) 0.169088 + 0.0457853i 0.0360498 + 0.00976146i
\(23\) 2.96562 1.07940i 0.618374 0.225070i −0.0137891 0.999905i \(-0.504389\pi\)
0.632163 + 0.774835i \(0.282167\pi\)
\(24\) 1.31583 + 0.125617i 0.268593 + 0.0256414i
\(25\) −1.80834 4.66153i −0.361668 0.932307i
\(26\) 0.723781 + 8.53191i 0.141945 + 1.67325i
\(27\) 2.33994 1.35096i 0.450321 0.259993i
\(28\) −5.80296 3.39127i −1.09666 0.640890i
\(29\) 3.07901 + 0.542912i 0.571757 + 0.100816i 0.452049 0.891993i \(-0.350693\pi\)
0.119708 + 0.992809i \(0.461804\pi\)
\(30\) 1.13952 + 0.941008i 0.208046 + 0.171804i
\(31\) −3.24345 + 5.61782i −0.582541 + 1.00899i 0.412636 + 0.910896i \(0.364608\pi\)
−0.995177 + 0.0980944i \(0.968725\pi\)
\(32\) 3.94692 + 4.05239i 0.697723 + 0.716368i
\(33\) −0.0543970 0.0197989i −0.00946931 0.00344655i
\(34\) 6.19171 + 4.35986i 1.06187 + 0.747710i
\(35\) −3.24710 6.77681i −0.548860 1.14549i
\(36\) 5.47351 + 0.994919i 0.912252 + 0.165820i
\(37\) 4.80607 0.790113 0.395057 0.918657i \(-0.370725\pi\)
0.395057 + 0.918657i \(0.370725\pi\)
\(38\) 4.23042 + 4.48370i 0.686265 + 0.727351i
\(39\) 2.82953i 0.453087i
\(40\) 1.11434 + 6.22561i 0.176193 + 0.984356i
\(41\) 1.73589 + 2.06876i 0.271101 + 0.323086i 0.884368 0.466790i \(-0.154590\pi\)
−0.613267 + 0.789876i \(0.710145\pi\)
\(42\) 1.81602 + 1.27874i 0.280218 + 0.197314i
\(43\) −11.3069 4.11538i −1.72429 0.627589i −0.726090 0.687600i \(-0.758664\pi\)
−0.998198 + 0.0600104i \(0.980887\pi\)
\(44\) −0.122736 0.215198i −0.0185032 0.0324423i
\(45\) 4.44401 + 4.35170i 0.662474 + 0.648712i
\(46\) −4.04003 1.89688i −0.595670 0.279680i
\(47\) −1.96698 + 11.1553i −0.286914 + 1.62717i 0.411453 + 0.911431i \(0.365021\pi\)
−0.698367 + 0.715739i \(0.746090\pi\)
\(48\) −1.18641 1.44458i −0.171244 0.208508i
\(49\) −2.14689 3.71852i −0.306698 0.531217i
\(50\) −2.87024 + 6.46233i −0.405914 + 0.913911i
\(51\) −1.91697 1.60853i −0.268429 0.225239i
\(52\) 7.83251 9.23507i 1.08617 1.28067i
\(53\) 0.110513 0.0402236i 0.0151802 0.00552513i −0.334419 0.942425i \(-0.608540\pi\)
0.349599 + 0.936899i \(0.386318\pi\)
\(54\) −3.68828 0.998703i −0.501912 0.135906i
\(55\) 0.0212432 0.276164i 0.00286443 0.0372380i
\(56\) 2.38744 + 9.20056i 0.319035 + 1.22948i
\(57\) −1.26771 1.59452i −0.167913 0.211199i
\(58\) −2.52653 3.62859i −0.331750 0.476457i
\(59\) 0.756119 + 4.28817i 0.0984383 + 0.558272i 0.993639 + 0.112609i \(0.0359208\pi\)
−0.895201 + 0.445663i \(0.852968\pi\)
\(60\) −0.193022 2.08104i −0.0249191 0.268661i
\(61\) −6.90121 + 2.51183i −0.883609 + 0.321607i −0.743665 0.668552i \(-0.766914\pi\)
−0.139944 + 0.990159i \(0.544692\pi\)
\(62\) 8.86750 2.35100i 1.12617 0.298577i
\(63\) 7.16091 + 6.00872i 0.902190 + 0.757027i
\(64\) 0.126564 7.99900i 0.0158205 0.999875i
\(65\) 13.0398 3.64110i 1.61739 0.451623i
\(66\) 0.0344024 + 0.0742869i 0.00423464 + 0.00914408i
\(67\) 1.55757 + 0.274642i 0.190288 + 0.0335529i 0.267980 0.963425i \(-0.413644\pi\)
−0.0776919 + 0.996977i \(0.524755\pi\)
\(68\) −1.80402 10.5564i −0.218770 1.28015i
\(69\) 1.27728 + 0.737438i 0.153766 + 0.0887771i
\(70\) −3.55613 + 10.0146i −0.425039 + 1.19697i
\(71\) −2.80683 1.02160i −0.333110 0.121242i 0.170050 0.985435i \(-0.445607\pi\)
−0.503160 + 0.864193i \(0.667829\pi\)
\(72\) −4.46152 6.48022i −0.525795 0.763701i
\(73\) 4.12772 + 4.91923i 0.483114 + 0.575752i 0.951452 0.307797i \(-0.0995917\pi\)
−0.468339 + 0.883549i \(0.655147\pi\)
\(74\) −4.79338 4.81873i −0.557219 0.560166i
\(75\) 1.12560 2.04768i 0.129973 0.236446i
\(76\) 0.276250 8.71342i 0.0316880 0.999498i
\(77\) 0.416278i 0.0474392i
\(78\) −2.83698 + 2.82206i −0.321225 + 0.319535i
\(79\) −8.67515 + 7.27931i −0.976031 + 0.818987i −0.983486 0.180985i \(-0.942071\pi\)
0.00745528 + 0.999972i \(0.497627\pi\)
\(80\) 5.13060 7.32645i 0.573619 0.819122i
\(81\) −6.65500 2.42222i −0.739445 0.269136i
\(82\) 0.342895 3.80376i 0.0378664 0.420055i
\(83\) 3.57061 6.18447i 0.391925 0.678834i −0.600778 0.799416i \(-0.705143\pi\)
0.992703 + 0.120582i \(0.0384760\pi\)
\(84\) −0.529117 3.09617i −0.0577314 0.337819i
\(85\) 4.94604 10.9042i 0.536474 1.18272i
\(86\) 7.15084 + 15.4412i 0.771095 + 1.66507i
\(87\) 0.730558 + 1.26536i 0.0783240 + 0.135661i
\(88\) −0.0933528 + 0.337689i −0.00995144 + 0.0359978i
\(89\) −2.78066 + 3.31386i −0.294749 + 0.351268i −0.893013 0.450031i \(-0.851413\pi\)
0.598264 + 0.801299i \(0.295857\pi\)
\(90\) −0.0691245 8.79592i −0.00728636 0.927172i
\(91\) 19.1203 6.95921i 2.00435 0.729523i
\(92\) 2.12748 + 5.94254i 0.221806 + 0.619553i
\(93\) −2.98548 + 0.526421i −0.309580 + 0.0545873i
\(94\) 13.1465 9.15370i 1.35596 0.944132i
\(95\) 5.71696 7.89407i 0.586548 0.809915i
\(96\) −0.265108 + 2.63030i −0.0270575 + 0.268454i
\(97\) −1.90434 10.8000i −0.193356 1.09658i −0.914740 0.404043i \(-0.867605\pi\)
0.721384 0.692536i \(-0.243506\pi\)
\(98\) −1.58709 + 5.86124i −0.160320 + 0.592075i
\(99\) 0.117845 + 0.323776i 0.0118438 + 0.0325407i
\(100\) 9.34201 3.56747i 0.934201 0.356747i
\(101\) 8.07286 + 6.77394i 0.803280 + 0.674032i 0.948994 0.315295i \(-0.102103\pi\)
−0.145714 + 0.989327i \(0.546548\pi\)
\(102\) 0.299144 + 3.52630i 0.0296196 + 0.349155i
\(103\) 11.2211 6.47850i 1.10565 0.638346i 0.167949 0.985796i \(-0.446286\pi\)
0.937698 + 0.347450i \(0.112952\pi\)
\(104\) −17.0712 + 1.35755i −1.67397 + 0.133119i
\(105\) 1.45067 3.19818i 0.141571 0.312110i
\(106\) −0.150551 0.0706870i −0.0146228 0.00686573i
\(107\) −10.3559 5.97895i −1.00114 0.578007i −0.0925532 0.995708i \(-0.529503\pi\)
−0.908585 + 0.417700i \(0.862836\pi\)
\(108\) 2.67721 + 4.69406i 0.257615 + 0.451686i
\(109\) 0.337802 0.928104i 0.0323556 0.0888963i −0.922463 0.386085i \(-0.873827\pi\)
0.954819 + 0.297189i \(0.0960492\pi\)
\(110\) −0.298079 + 0.254136i −0.0284207 + 0.0242309i
\(111\) 1.44372 + 1.72056i 0.137032 + 0.163308i
\(112\) 6.84365 11.5700i 0.646665 1.09326i
\(113\) 8.40598 0.790768 0.395384 0.918516i \(-0.370612\pi\)
0.395384 + 0.918516i \(0.370612\pi\)
\(114\) −0.334351 + 2.86136i −0.0313149 + 0.267991i
\(115\) −1.75482 + 6.83525i −0.163638 + 0.637390i
\(116\) −1.11828 + 6.15220i −0.103830 + 0.571217i
\(117\) −12.9014 + 10.8256i −1.19274 + 1.00082i
\(118\) 3.54533 5.03495i 0.326375 0.463505i
\(119\) 6.15470 16.9099i 0.564200 1.55013i
\(120\) −1.89401 + 2.26908i −0.172899 + 0.207137i
\(121\) −5.49233 + 9.51299i −0.499303 + 0.864817i
\(122\) 9.40144 + 4.41418i 0.851166 + 0.399641i
\(123\) −0.219155 + 1.24289i −0.0197606 + 0.112068i
\(124\) −11.2013 6.54606i −1.00590 0.587854i
\(125\) 10.8851 + 2.55228i 0.973595 + 0.228282i
\(126\) −1.11746 13.1726i −0.0995515 1.17351i
\(127\) −12.2881 + 14.6443i −1.09039 + 1.29947i −0.139405 + 0.990235i \(0.544519\pi\)
−0.950984 + 0.309239i \(0.899926\pi\)
\(128\) −8.14629 + 7.85098i −0.720037 + 0.693935i
\(129\) −1.92325 5.28408i −0.169333 0.465238i
\(130\) −16.6560 9.44263i −1.46083 0.828174i
\(131\) −6.09336 + 1.07442i −0.532380 + 0.0938729i −0.433374 0.901214i \(-0.642677\pi\)
−0.0990053 + 0.995087i \(0.531566\pi\)
\(132\) 0.0401710 0.108584i 0.00349644 0.00945100i
\(133\) 7.65687 12.4882i 0.663935 1.08286i
\(134\) −1.27810 1.83559i −0.110411 0.158571i
\(135\) −0.463372 + 6.02390i −0.0398807 + 0.518455i
\(136\) −8.78490 + 12.3373i −0.753299 + 1.05791i
\(137\) 1.29187 + 3.54938i 0.110372 + 0.303244i 0.982566 0.185917i \(-0.0595254\pi\)
−0.872194 + 0.489161i \(0.837303\pi\)
\(138\) −0.534527 2.01613i −0.0455020 0.171625i
\(139\) 4.33196 5.16262i 0.367432 0.437888i −0.550374 0.834918i \(-0.685515\pi\)
0.917805 + 0.397030i \(0.129959\pi\)
\(140\) 13.5877 6.42263i 1.14837 0.542812i
\(141\) −4.58445 + 2.64683i −0.386080 + 0.222903i
\(142\) 1.77513 + 3.83313i 0.148965 + 0.321669i
\(143\) 0.738590 + 0.130233i 0.0617640 + 0.0108907i
\(144\) −2.04754 + 10.9364i −0.170629 + 0.911365i
\(145\) −4.89128 + 4.99505i −0.406199 + 0.414816i
\(146\) 0.815359 9.04483i 0.0674796 0.748556i
\(147\) 0.686304 1.88560i 0.0566054 0.155522i
\(148\) −0.0506915 + 9.61201i −0.00416682 + 0.790102i
\(149\) 12.5667 10.5448i 1.02951 0.863860i 0.0387155 0.999250i \(-0.487673\pi\)
0.990792 + 0.135391i \(0.0432289\pi\)
\(150\) −3.17570 + 0.913715i −0.259295 + 0.0746045i
\(151\) 12.5228 1.01909 0.509544 0.860445i \(-0.329814\pi\)
0.509544 + 0.860445i \(0.329814\pi\)
\(152\) −9.01189 + 8.41344i −0.730960 + 0.682420i
\(153\) 14.8946i 1.20416i
\(154\) −0.417374 + 0.415179i −0.0336329 + 0.0334560i
\(155\) −6.26777 13.0811i −0.503440 1.05070i
\(156\) 5.65898 + 0.0298442i 0.453081 + 0.00238945i
\(157\) 1.45751 4.00446i 0.116322 0.319591i −0.867845 0.496834i \(-0.834496\pi\)
0.984167 + 0.177243i \(0.0567179\pi\)
\(158\) 15.9507 + 1.43790i 1.26897 + 0.114393i
\(159\) 0.0475976 + 0.0274805i 0.00377474 + 0.00217934i
\(160\) −12.4628 + 2.16299i −0.985271 + 0.170999i
\(161\) −1.84170 + 10.4448i −0.145146 + 0.823166i
\(162\) 4.20883 + 9.08835i 0.330677 + 0.714048i
\(163\) −5.11904 8.86644i −0.400954 0.694474i 0.592887 0.805286i \(-0.297988\pi\)
−0.993841 + 0.110812i \(0.964655\pi\)
\(164\) −4.15577 + 3.44992i −0.324511 + 0.269394i
\(165\) 0.105247 0.0753535i 0.00819350 0.00586626i
\(166\) −9.76194 + 2.58813i −0.757673 + 0.200878i
\(167\) 5.66187 + 15.5558i 0.438128 + 1.20375i 0.940708 + 0.339217i \(0.110162\pi\)
−0.502580 + 0.864531i \(0.667616\pi\)
\(168\) −2.57660 + 3.61850i −0.198789 + 0.279174i
\(169\) 4.10829 + 23.2993i 0.316022 + 1.79225i
\(170\) −15.8659 + 5.91631i −1.21686 + 0.453760i
\(171\) −2.42013 + 11.8807i −0.185072 + 0.908542i
\(172\) 8.34990 22.5701i 0.636674 1.72095i
\(173\) 1.69136 + 9.59221i 0.128592 + 0.729282i 0.979109 + 0.203335i \(0.0651779\pi\)
−0.850517 + 0.525947i \(0.823711\pi\)
\(174\) 0.540067 1.99450i 0.0409423 0.151203i
\(175\) 16.6054 + 2.56986i 1.25525 + 0.194263i
\(176\) 0.431685 0.243199i 0.0325395 0.0183318i
\(177\) −1.30802 + 1.55883i −0.0983166 + 0.117169i
\(178\) 6.09590 0.517129i 0.456907 0.0387604i
\(179\) 7.26304 + 12.5800i 0.542865 + 0.940270i 0.998738 + 0.0502250i \(0.0159939\pi\)
−0.455873 + 0.890045i \(0.650673\pi\)
\(180\) −8.75014 + 8.84200i −0.652197 + 0.659044i
\(181\) −21.1417 3.72785i −1.57145 0.277089i −0.681039 0.732247i \(-0.738471\pi\)
−0.890410 + 0.455159i \(0.849583\pi\)
\(182\) −26.0473 12.2298i −1.93076 0.906532i
\(183\) −2.97232 1.71607i −0.219720 0.126856i
\(184\) 3.83632 8.05994i 0.282817 0.594187i
\(185\) −6.07132 + 8.86739i −0.446373 + 0.651943i
\(186\) 3.50541 + 2.46831i 0.257029 + 0.180985i
\(187\) 0.508104 0.426350i 0.0371563 0.0311778i
\(188\) −22.2896 4.05157i −1.62563 0.295491i
\(189\) 9.08016i 0.660484i
\(190\) −13.6167 + 2.14122i −0.987861 + 0.155340i
\(191\) 14.5924i 1.05587i −0.849285 0.527935i \(-0.822967\pi\)
0.849285 0.527935i \(-0.177033\pi\)
\(192\) 2.90164 2.35755i 0.209408 0.170142i
\(193\) 1.87190 1.57071i 0.134743 0.113062i −0.572926 0.819607i \(-0.694192\pi\)
0.707668 + 0.706545i \(0.249747\pi\)
\(194\) −8.92918 + 12.6809i −0.641077 + 0.910435i
\(195\) 5.22059 + 3.57444i 0.373855 + 0.255971i
\(196\) 7.45957 4.25449i 0.532827 0.303892i
\(197\) −20.7890 12.0025i −1.48116 0.855146i −0.481384 0.876510i \(-0.659866\pi\)
−0.999772 + 0.0213642i \(0.993199\pi\)
\(198\) 0.207095 0.441076i 0.0147176 0.0313459i
\(199\) −0.465640 0.0821049i −0.0330083 0.00582026i 0.157120 0.987580i \(-0.449779\pi\)
−0.190128 + 0.981759i \(0.560890\pi\)
\(200\) −12.8942 5.80857i −0.911758 0.410728i
\(201\) 0.369567 + 0.640109i 0.0260672 + 0.0451498i
\(202\) −1.25977 14.8502i −0.0886373 1.04485i
\(203\) −6.75377 + 8.04882i −0.474021 + 0.564917i
\(204\) 3.23723 3.81692i 0.226651 0.267238i
\(205\) −6.00983 + 0.589411i −0.419745 + 0.0411662i
\(206\) −17.6870 4.78925i −1.23231 0.333683i
\(207\) −1.52438 8.64522i −0.105952 0.600884i
\(208\) 18.3873 + 15.7622i 1.27493 + 1.09291i
\(209\) 0.474565 0.257520i 0.0328263 0.0178131i
\(210\) −4.65344 + 1.73525i −0.321118 + 0.119743i
\(211\) 1.27499 + 7.23082i 0.0877739 + 0.497791i 0.996723 + 0.0808845i \(0.0257745\pi\)
−0.908950 + 0.416906i \(0.863114\pi\)
\(212\) 0.0792804 + 0.221448i 0.00544500 + 0.0152091i
\(213\) −0.477428 1.31172i −0.0327128 0.0898778i
\(214\) 4.33381 + 16.3463i 0.296253 + 1.11741i
\(215\) 21.8766 15.6629i 1.49197 1.06820i
\(216\) 2.03628 7.36593i 0.138551 0.501188i
\(217\) −10.9000 18.8794i −0.739941 1.28161i
\(218\) −1.26746 + 0.586962i −0.0858431 + 0.0397541i
\(219\) −0.521122 + 2.95543i −0.0352141 + 0.199709i
\(220\) 0.552097 + 0.0453986i 0.0372224 + 0.00306077i
\(221\) 28.0773 + 16.2104i 1.88868 + 1.09043i
\(222\) 0.285182 3.16354i 0.0191401 0.212323i
\(223\) −3.52244 + 9.67782i −0.235880 + 0.648075i 0.764116 + 0.645079i \(0.223176\pi\)
−0.999996 + 0.00299548i \(0.999047\pi\)
\(224\) −18.4260 + 4.67777i −1.23114 + 0.312547i
\(225\) −13.6430 + 2.70205i −0.909533 + 0.180137i
\(226\) −8.38378 8.42811i −0.557681 0.560630i
\(227\) 9.41783i 0.625083i 0.949904 + 0.312542i \(0.101180\pi\)
−0.949904 + 0.312542i \(0.898820\pi\)
\(228\) 3.20236 2.51857i 0.212082 0.166797i
\(229\) −11.7727 −0.777959 −0.388979 0.921246i \(-0.627172\pi\)
−0.388979 + 0.921246i \(0.627172\pi\)
\(230\) 8.60343 5.05776i 0.567294 0.333498i
\(231\) 0.149026 0.125048i 0.00980521 0.00822755i
\(232\) 7.28373 5.01473i 0.478200 0.329233i
\(233\) −0.145204 + 0.398944i −0.00951262 + 0.0261357i −0.944358 0.328919i \(-0.893316\pi\)
0.934845 + 0.355055i \(0.115538\pi\)
\(234\) 23.7214 + 2.13840i 1.55072 + 0.139792i
\(235\) −18.0972 17.7212i −1.18053 1.15601i
\(236\) −8.58419 + 1.46699i −0.558783 + 0.0954928i
\(237\) −5.21195 0.919007i −0.338552 0.0596959i
\(238\) −23.0929 + 10.6943i −1.49689 + 0.693211i
\(239\) 26.0654 15.0489i 1.68603 0.973432i 0.728528 0.685016i \(-0.240205\pi\)
0.957505 0.288416i \(-0.0931285\pi\)
\(240\) 4.16406 0.364090i 0.268789 0.0235019i
\(241\) 5.17036 6.16180i 0.333052 0.396916i −0.573365 0.819300i \(-0.694362\pi\)
0.906417 + 0.422384i \(0.138807\pi\)
\(242\) 15.0159 3.98108i 0.965257 0.255914i
\(243\) −3.90432 10.7270i −0.250463 0.688140i
\(244\) −4.95081 13.8287i −0.316943 0.885293i
\(245\) 9.57289 + 0.736368i 0.611590 + 0.0470448i
\(246\) 1.46474 1.01988i 0.0933884 0.0650250i
\(247\) 19.7619 + 17.4923i 1.25742 + 1.11301i
\(248\) 4.60840 + 17.7595i 0.292634 + 1.12773i
\(249\) 3.28662 0.579519i 0.208281 0.0367255i
\(250\) −8.29739 13.4593i −0.524773 0.851242i
\(251\) −1.40827 3.86919i −0.0888892 0.244221i 0.887280 0.461231i \(-0.152592\pi\)
−0.976169 + 0.217010i \(0.930370\pi\)
\(252\) −12.0928 + 14.2582i −0.761775 + 0.898185i
\(253\) −0.251282 + 0.299466i −0.0157979 + 0.0188273i
\(254\) 26.9385 2.28525i 1.69027 0.143390i
\(255\) 5.38943 1.50489i 0.337499 0.0942400i
\(256\) 15.9964 + 0.337493i 0.999778 + 0.0210933i
\(257\) −1.39435 + 7.90776i −0.0869773 + 0.493273i 0.909935 + 0.414751i \(0.136131\pi\)
−0.996912 + 0.0785220i \(0.974980\pi\)
\(258\) −3.37983 + 7.19845i −0.210419 + 0.448156i
\(259\) −8.07569 + 13.9875i −0.501799 + 0.869141i
\(260\) 7.14457 + 26.1176i 0.443087 + 1.61975i
\(261\) 2.97444 8.17221i 0.184113 0.505847i
\(262\) 7.15453 + 5.03782i 0.442008 + 0.311238i
\(263\) −4.76930 + 4.00192i −0.294088 + 0.246769i −0.777878 0.628415i \(-0.783704\pi\)
0.483791 + 0.875184i \(0.339260\pi\)
\(264\) −0.148935 + 0.0680202i −0.00916629 + 0.00418636i
\(265\) −0.0653932 + 0.254714i −0.00401707 + 0.0156470i
\(266\) −20.1577 + 4.77815i −1.23595 + 0.292967i
\(267\) −2.02165 −0.123723
\(268\) −0.565705 + 3.11221i −0.0345560 + 0.190108i
\(269\) −15.8691 18.9121i −0.967558 1.15309i −0.988179 0.153303i \(-0.951009\pi\)
0.0206212 0.999787i \(-0.493436\pi\)
\(270\) 6.50191 5.54340i 0.395694 0.337361i
\(271\) −6.22615 + 17.1062i −0.378212 + 1.03913i 0.593886 + 0.804549i \(0.297593\pi\)
−0.972097 + 0.234578i \(0.924629\pi\)
\(272\) 21.1315 3.49665i 1.28128 0.212016i
\(273\) 8.23502 + 4.75449i 0.498406 + 0.287755i
\(274\) 2.27027 4.83528i 0.137152 0.292110i
\(275\) 0.482698 + 0.388062i 0.0291078 + 0.0234010i
\(276\) −1.48833 + 2.54675i −0.0895867 + 0.153296i
\(277\) −4.03598 + 2.33018i −0.242499 + 0.140007i −0.616325 0.787492i \(-0.711379\pi\)
0.373826 + 0.927499i \(0.378046\pi\)
\(278\) −9.49674 + 0.805629i −0.569576 + 0.0483184i
\(279\) 13.8225 + 11.5984i 0.827530 + 0.694380i
\(280\) −19.9914 7.21779i −1.19471 0.431346i
\(281\) −6.97083 19.1522i −0.415845 1.14252i −0.954034 0.299700i \(-0.903114\pi\)
0.538189 0.842824i \(-0.319109\pi\)
\(282\) 7.22614 + 1.95668i 0.430310 + 0.116518i
\(283\) −2.17388 12.3287i −0.129224 0.732864i −0.978709 0.205252i \(-0.934199\pi\)
0.849486 0.527612i \(-0.176912\pi\)
\(284\) 2.07278 5.60281i 0.122997 0.332466i
\(285\) 4.54340 0.324688i 0.269128 0.0192328i
\(286\) −0.606064 0.870425i −0.0358373 0.0514693i
\(287\) −8.93772 + 1.57596i −0.527577 + 0.0930261i
\(288\) 13.0073 8.85457i 0.766463 0.521761i
\(289\) 10.9689 3.99235i 0.645228 0.234844i
\(290\) 9.88657 0.0776955i 0.580559 0.00456244i
\(291\) 3.29433 3.92603i 0.193117 0.230148i
\(292\) −9.88186 + 8.20345i −0.578292 + 0.480070i
\(293\) −1.10918 1.92115i −0.0647987 0.112235i 0.831806 0.555067i \(-0.187307\pi\)
−0.896605 + 0.442832i \(0.853974\pi\)
\(294\) −2.57506 + 1.19251i −0.150181 + 0.0695489i
\(295\) −8.86701 4.02200i −0.516257 0.234170i
\(296\) 9.68788 9.53580i 0.563096 0.554257i
\(297\) −0.167343 + 0.289846i −0.00971022 + 0.0168186i
\(298\) −23.1061 2.08293i −1.33850 0.120661i
\(299\) −17.9558 6.53537i −1.03841 0.377950i
\(300\) 4.08344 + 2.27276i 0.235758 + 0.131218i
\(301\) 30.9764 25.9923i 1.78545 1.49817i
\(302\) −12.4897 12.5557i −0.718701 0.722501i
\(303\) 4.92492i 0.282929i
\(304\) 17.4237 + 0.644396i 0.999317 + 0.0369587i
\(305\) 4.08360 15.9061i 0.233826 0.910781i
\(306\) 14.9339 14.8553i 0.853712 0.849222i
\(307\) −6.48351 7.72675i −0.370033 0.440989i 0.548609 0.836079i \(-0.315158\pi\)
−0.918642 + 0.395091i \(0.870713\pi\)
\(308\) 0.832544 + 0.00439065i 0.0474386 + 0.000250180i
\(309\) 5.69005 + 2.07101i 0.323696 + 0.117816i
\(310\) −6.86429 + 19.3308i −0.389865 + 1.09792i
\(311\) −0.331975 0.191666i −0.0188246 0.0108684i 0.490558 0.871408i \(-0.336793\pi\)
−0.509383 + 0.860540i \(0.670126\pi\)
\(312\) −5.61412 5.70365i −0.317837 0.322906i
\(313\) 22.5307 + 3.97277i 1.27351 + 0.224554i 0.769222 0.638982i \(-0.220644\pi\)
0.504287 + 0.863536i \(0.331755\pi\)
\(314\) −5.46867 + 2.53255i −0.308615 + 0.142920i
\(315\) −20.1324 + 5.62158i −1.13433 + 0.316740i
\(316\) −14.4669 17.4268i −0.813828 0.980336i
\(317\) 21.8398 + 18.3258i 1.22665 + 1.02928i 0.998450 + 0.0556648i \(0.0177278\pi\)
0.228198 + 0.973615i \(0.426717\pi\)
\(318\) −0.0199191 0.0751309i −0.00111701 0.00421313i
\(319\) −0.363922 + 0.132457i −0.0203757 + 0.00741616i
\(320\) 14.5986 + 10.3383i 0.816086 + 0.577931i
\(321\) −0.970401 5.50342i −0.0541625 0.307171i
\(322\) 12.3092 8.57068i 0.685962 0.477625i
\(323\) 23.0851 3.44443i 1.28449 0.191653i
\(324\) 4.91457 13.2843i 0.273032 0.738015i
\(325\) −9.75468 + 28.6586i −0.541092 + 1.58969i
\(326\) −3.78427 + 13.9756i −0.209591 + 0.774035i
\(327\) 0.433733 0.157866i 0.0239855 0.00873001i
\(328\) 7.60380 + 0.725901i 0.419850 + 0.0400812i
\(329\) −29.1611 24.4691i −1.60770 1.34902i
\(330\) −0.180521 0.0303701i −0.00993738 0.00167182i
\(331\) −9.80984 16.9911i −0.539198 0.933918i −0.998947 0.0458692i \(-0.985394\pi\)
0.459750 0.888048i \(-0.347939\pi\)
\(332\) 12.3311 + 7.20634i 0.676758 + 0.395499i
\(333\) 2.32143 13.1655i 0.127213 0.721463i
\(334\) 9.94990 21.1916i 0.544434 1.15955i
\(335\) −2.47435 + 2.52684i −0.135188 + 0.138056i
\(336\) 6.19783 1.02556i 0.338119 0.0559491i
\(337\) 8.99330 + 3.27329i 0.489896 + 0.178308i 0.575144 0.818052i \(-0.304946\pi\)
−0.0852479 + 0.996360i \(0.527168\pi\)
\(338\) 19.2632 27.3569i 1.04778 1.48802i
\(339\) 2.52512 + 3.00932i 0.137145 + 0.163444i
\(340\) 21.7559 + 10.0070i 1.17988 + 0.542703i
\(341\) 0.803528i 0.0435135i
\(342\) 14.3258 9.42286i 0.774648 0.509530i
\(343\) −9.09460 −0.491062
\(344\) −30.9574 + 14.1386i −1.66911 + 0.762303i
\(345\) −2.97414 + 1.42505i −0.160122 + 0.0767224i
\(346\) 7.93057 11.2627i 0.426350 0.605486i
\(347\) −8.64421 3.14623i −0.464045 0.168899i 0.0994077 0.995047i \(-0.468305\pi\)
−0.563453 + 0.826148i \(0.690527\pi\)
\(348\) −2.53840 + 1.44775i −0.136072 + 0.0776075i
\(349\) −14.5699 + 25.2358i −0.779908 + 1.35084i 0.152086 + 0.988367i \(0.451401\pi\)
−0.931994 + 0.362473i \(0.881933\pi\)
\(350\) −13.9850 19.2122i −0.747527 1.02694i
\(351\) −16.1107 2.84075i −0.859924 0.151628i
\(352\) −0.674385 0.190265i −0.0359448 0.0101411i
\(353\) −11.6342 + 6.71703i −0.619228 + 0.357512i −0.776568 0.630033i \(-0.783041\pi\)
0.157340 + 0.987544i \(0.449708\pi\)
\(354\) 2.86750 0.243257i 0.152406 0.0129289i
\(355\) 5.43066 3.88816i 0.288230 0.206362i
\(356\) −6.59829 5.59619i −0.349709 0.296597i
\(357\) 7.90253 2.87629i 0.418246 0.152229i
\(358\) 5.36922 19.8289i 0.283772 1.04799i
\(359\) −31.1619 + 5.49469i −1.64466 + 0.289998i −0.917877 0.396866i \(-0.870098\pi\)
−0.726786 + 0.686864i \(0.758987\pi\)
\(360\) 17.5923 0.0454730i 0.927197 0.00239664i
\(361\) 18.9735 + 1.00348i 0.998604 + 0.0528147i
\(362\) 17.3482 + 24.9154i 0.911801 + 1.30952i
\(363\) −5.05549 + 0.891420i −0.265345 + 0.0467874i
\(364\) 13.7166 + 38.3134i 0.718943 + 2.00817i
\(365\) −14.2906 + 1.40154i −0.748002 + 0.0733600i
\(366\) 1.24388 + 4.69169i 0.0650188 + 0.245238i
\(367\) 3.00569 + 2.52207i 0.156896 + 0.131651i 0.717856 0.696192i \(-0.245124\pi\)
−0.560960 + 0.827843i \(0.689568\pi\)
\(368\) −11.9074 + 4.19223i −0.620714 + 0.218535i
\(369\) 6.50551 3.75596i 0.338663 0.195527i
\(370\) 14.9460 2.75667i 0.777007 0.143312i
\(371\) −0.0686307 + 0.389224i −0.00356313 + 0.0202075i
\(372\) −1.02134 5.97643i −0.0529539 0.309864i
\(373\) −0.240112 + 0.415886i −0.0124325 + 0.0215337i −0.872175 0.489194i \(-0.837291\pi\)
0.859742 + 0.510728i \(0.170624\pi\)
\(374\) −0.934236 0.0842179i −0.0483082 0.00435480i
\(375\) 2.35613 + 4.66354i 0.121670 + 0.240824i
\(376\) 18.1685 + 26.3891i 0.936968 + 1.36092i
\(377\) −12.1679 14.5011i −0.626678 0.746846i
\(378\) 9.10407 9.05618i 0.468263 0.465800i
\(379\) −12.0512 −0.619030 −0.309515 0.950895i \(-0.600167\pi\)
−0.309515 + 0.950895i \(0.600167\pi\)
\(380\) 15.7276 + 11.5170i 0.806810 + 0.590811i
\(381\) −8.93391 −0.457698
\(382\) −14.6308 + 14.5539i −0.748579 + 0.744641i
\(383\) −5.15486 6.14332i −0.263401 0.313909i 0.618092 0.786105i \(-0.287906\pi\)
−0.881493 + 0.472196i \(0.843461\pi\)
\(384\) −5.25774 0.557952i −0.268308 0.0284729i
\(385\) 0.768049 + 0.525868i 0.0391434 + 0.0268007i
\(386\) −3.44181 0.310267i −0.175184 0.0157922i
\(387\) −16.7349 + 28.9857i −0.850682 + 1.47343i
\(388\) 21.6199 3.69471i 1.09758 0.187571i
\(389\) 0.0952729 0.540320i 0.00483053 0.0273953i −0.982297 0.187329i \(-0.940017\pi\)
0.987128 + 0.159934i \(0.0511281\pi\)
\(390\) −1.62296 8.79934i −0.0821819 0.445572i
\(391\) −14.6351 + 8.44958i −0.740129 + 0.427313i
\(392\) −11.7056 3.23596i −0.591221 0.163441i
\(393\) −2.21506 1.85866i −0.111735 0.0937568i
\(394\) 8.69997 + 32.8146i 0.438298 + 1.65318i
\(395\) −2.47164 25.2017i −0.124362 1.26803i
\(396\) −0.648785 + 0.232271i −0.0326027 + 0.0116721i
\(397\) 12.2046 2.15200i 0.612532 0.108006i 0.141228 0.989977i \(-0.454895\pi\)
0.471303 + 0.881971i \(0.343784\pi\)
\(398\) 0.382089 + 0.548754i 0.0191524 + 0.0275066i
\(399\) 6.77081 1.01025i 0.338965 0.0505756i
\(400\) 7.03630 + 18.7214i 0.351815 + 0.936070i
\(401\) 25.1953 4.44261i 1.25819 0.221853i 0.495496 0.868610i \(-0.334986\pi\)
0.762696 + 0.646757i \(0.223875\pi\)
\(402\) 0.273203 1.00896i 0.0136261 0.0503223i
\(403\) 36.9072 13.4331i 1.83848 0.669152i
\(404\) −13.6328 + 16.0741i −0.678259 + 0.799714i
\(405\) 12.8761 9.21884i 0.639819 0.458088i
\(406\) 14.8060 1.25602i 0.734807 0.0623353i
\(407\) −0.515566 + 0.297662i −0.0255557 + 0.0147546i
\(408\) −7.05565 + 0.561086i −0.349307 + 0.0277779i
\(409\) 24.2784 + 4.28093i 1.20049 + 0.211679i 0.737910 0.674899i \(-0.235813\pi\)
0.462579 + 0.886578i \(0.346924\pi\)
\(410\) 6.58492 + 5.43780i 0.325206 + 0.268554i
\(411\) −0.882597 + 1.52870i −0.0435353 + 0.0754053i
\(412\) 12.8385 + 22.5102i 0.632506 + 1.10900i
\(413\) −13.7507 5.00485i −0.676629 0.246273i
\(414\) −7.14762 + 10.1508i −0.351286 + 0.498884i
\(415\) 6.89998 + 14.4005i 0.338707 + 0.706893i
\(416\) −2.53501 34.1563i −0.124289 1.67465i
\(417\) 3.14950 0.154232
\(418\) −0.731510 0.218974i −0.0357793 0.0107104i
\(419\) 7.31772i 0.357494i −0.983895 0.178747i \(-0.942796\pi\)
0.983895 0.178747i \(-0.0572044\pi\)
\(420\) 6.38096 + 2.93503i 0.311359 + 0.143215i
\(421\) −12.4412 14.8269i −0.606348 0.722618i 0.372311 0.928108i \(-0.378566\pi\)
−0.978659 + 0.205490i \(0.934121\pi\)
\(422\) 5.97824 8.49008i 0.291016 0.413291i
\(423\) 29.6081 + 10.7765i 1.43960 + 0.523970i
\(424\) 0.142960 0.300352i 0.00694275 0.0145864i
\(425\) 13.8705 + 22.9005i 0.672817 + 1.11084i
\(426\) −0.839010 + 1.78695i −0.0406502 + 0.0865778i
\(427\) 4.28577 24.3058i 0.207403 1.17624i
\(428\) 12.0670 20.6484i 0.583279 0.998076i
\(429\) 0.175246 + 0.303535i 0.00846095 + 0.0146548i
\(430\) −37.5230 6.31269i −1.80952 0.304425i
\(431\) −17.1074 14.3548i −0.824032 0.691445i 0.129880 0.991530i \(-0.458541\pi\)
−0.953913 + 0.300085i \(0.902985\pi\)
\(432\) −9.41623 + 5.30484i −0.453039 + 0.255229i
\(433\) −19.6537 + 7.15338i −0.944499 + 0.343769i −0.767941 0.640521i \(-0.778718\pi\)
−0.176558 + 0.984290i \(0.556496\pi\)
\(434\) −8.05785 + 29.7582i −0.386789 + 1.42844i
\(435\) −3.25753 0.250577i −0.156187 0.0120142i
\(436\) 1.85262 + 0.685384i 0.0887244 + 0.0328240i
\(437\) −13.0466 + 4.36186i −0.624104 + 0.208656i
\(438\) 3.48296 2.42513i 0.166422 0.115877i
\(439\) −3.98417 22.5954i −0.190154 1.07842i −0.919152 0.393903i \(-0.871125\pi\)
0.728998 0.684516i \(-0.239986\pi\)
\(440\) −0.505121 0.598829i −0.0240807 0.0285481i
\(441\) −11.2233 + 4.08494i −0.534442 + 0.194521i
\(442\) −11.7500 44.3188i −0.558891 2.10803i
\(443\) −1.68095 1.41048i −0.0798641 0.0670139i 0.601982 0.798510i \(-0.294378\pi\)
−0.681846 + 0.731496i \(0.738822\pi\)
\(444\) −3.45630 + 2.86925i −0.164029 + 0.136169i
\(445\) −2.60150 9.31669i −0.123323 0.441653i
\(446\) 13.2164 6.12055i 0.625817 0.289817i
\(447\) 7.54998 + 1.33127i 0.357102 + 0.0629667i
\(448\) 23.0675 + 13.8092i 1.08984 + 0.652421i
\(449\) 7.27665 + 4.20118i 0.343406 + 0.198266i 0.661777 0.749700i \(-0.269802\pi\)
−0.318371 + 0.947966i \(0.603136\pi\)
\(450\) 16.3161 + 10.9840i 0.769150 + 0.517791i
\(451\) −0.314344 0.114412i −0.0148019 0.00538744i
\(452\) −0.0886612 + 16.8117i −0.00417027 + 0.790757i
\(453\) 3.76178 + 4.48311i 0.176744 + 0.210635i
\(454\) 9.44263 9.39297i 0.443165 0.440834i
\(455\) −11.3139 + 44.0689i −0.530403 + 2.06598i
\(456\) −5.71912 0.698873i −0.267822 0.0327277i
\(457\) 5.17318i 0.241991i 0.992653 + 0.120996i \(0.0386087\pi\)
−0.992653 + 0.120996i \(0.961391\pi\)
\(458\) 11.7416 + 11.8037i 0.548648 + 0.551549i
\(459\) −11.0831 + 9.29986i −0.517317 + 0.434081i
\(460\) −13.6518 3.58169i −0.636518 0.166997i
\(461\) −33.6010 12.2297i −1.56495 0.569596i −0.593088 0.805137i \(-0.702091\pi\)
−0.971864 + 0.235541i \(0.924314\pi\)
\(462\) −0.274010 0.0247010i −0.0127481 0.00114919i
\(463\) −12.9520 + 22.4334i −0.601928 + 1.04257i 0.390601 + 0.920560i \(0.372267\pi\)
−0.992529 + 0.122010i \(0.961066\pi\)
\(464\) −12.2924 2.30143i −0.570662 0.106841i
\(465\) 2.80018 6.17334i 0.129855 0.286282i
\(466\) 0.544816 0.252305i 0.0252381 0.0116878i
\(467\) −6.29519 10.9036i −0.291306 0.504558i 0.682812 0.730594i \(-0.260757\pi\)
−0.974119 + 0.226036i \(0.927423\pi\)
\(468\) −21.5148 25.9167i −0.994520 1.19800i
\(469\) −3.41652 + 4.07165i −0.157760 + 0.188012i
\(470\) 0.281493 + 35.8193i 0.0129843 + 1.65222i
\(471\) 1.87142 0.681140i 0.0862303 0.0313853i
\(472\) 10.0324 + 7.14368i 0.461777 + 0.328814i
\(473\) 1.46782 0.258817i 0.0674905 0.0119004i
\(474\) 4.27676 + 6.14225i 0.196438 + 0.282123i
\(475\) 7.34286 + 20.5203i 0.336914 + 0.941536i
\(476\) 33.7544 + 12.4876i 1.54713 + 0.572367i
\(477\) −0.0568059 0.322163i −0.00260097 0.0147508i
\(478\) −41.0851 11.1249i −1.87919 0.508842i
\(479\) −9.04170 24.8419i −0.413126 1.13505i −0.955519 0.294929i \(-0.904704\pi\)
0.542393 0.840125i \(-0.317518\pi\)
\(480\) −4.51811 3.81190i −0.206223 0.173988i
\(481\) −22.2912 18.7045i −1.01639 0.852852i
\(482\) −11.3347 + 0.961551i −0.516283 + 0.0437974i
\(483\) −4.29245 + 2.47825i −0.195313 + 0.112764i
\(484\) −18.9678 11.0848i −0.862172 0.503856i
\(485\) 22.3322 + 10.1297i 1.01405 + 0.459966i
\(486\) −6.86128 + 14.6133i −0.311234 + 0.662874i
\(487\) 12.9509 + 7.47722i 0.586862 + 0.338825i 0.763856 0.645387i \(-0.223304\pi\)
−0.176994 + 0.984212i \(0.556637\pi\)
\(488\) −8.92740 + 18.7561i −0.404124 + 0.849047i
\(489\) 1.63643 4.49604i 0.0740017 0.203318i
\(490\) −8.80931 10.3325i −0.397964 0.466776i
\(491\) 14.1447 + 16.8570i 0.638341 + 0.760745i 0.984107 0.177576i \(-0.0568255\pi\)
−0.345767 + 0.938321i \(0.612381\pi\)
\(492\) −2.48344 0.451414i −0.111962 0.0203513i
\(493\) −16.7415 −0.753999
\(494\) −2.17136 37.2601i −0.0976943 1.67641i
\(495\) −0.746248 0.191585i −0.0335413 0.00861111i
\(496\) 13.2101 22.3332i 0.593150 1.00279i
\(497\) 7.68961 6.45235i 0.344926 0.289427i
\(498\) −3.85898 2.71728i −0.172925 0.121764i
\(499\) 10.3844 28.5310i 0.464870 1.27722i −0.456912 0.889512i \(-0.651044\pi\)
0.921782 0.387709i \(-0.126733\pi\)
\(500\) −5.21929 + 21.7430i −0.233414 + 0.972378i
\(501\) −3.86815 + 6.69984i −0.172816 + 0.299327i
\(502\) −2.47483 + 5.27095i −0.110457 + 0.235254i
\(503\) −2.58938 + 14.6851i −0.115455 + 0.654778i 0.871069 + 0.491161i \(0.163427\pi\)
−0.986524 + 0.163617i \(0.947684\pi\)
\(504\) 26.3567 2.09596i 1.17402 0.0933614i
\(505\) −22.6963 + 6.33750i −1.00997 + 0.282015i
\(506\) 0.550873 0.0467317i 0.0244893 0.00207748i
\(507\) −7.10697 + 8.46975i −0.315632 + 0.376155i
\(508\) −29.1587 24.7302i −1.29371 1.09723i
\(509\) 1.62332 + 4.46003i 0.0719524 + 0.197688i 0.970456 0.241279i \(-0.0775669\pi\)
−0.898503 + 0.438967i \(0.855345\pi\)
\(510\) −6.88405 3.90270i −0.304831 0.172815i
\(511\) −21.2527 + 3.74742i −0.940164 + 0.165776i
\(512\) −15.6158 16.3752i −0.690128 0.723687i
\(513\) −10.3516 + 5.61722i −0.457032 + 0.248006i
\(514\) 9.31926 6.48886i 0.411055 0.286211i
\(515\) −2.22208 + 28.8874i −0.0979167 + 1.27293i
\(516\) 10.5883 3.79071i 0.466124 0.166877i
\(517\) −0.479894 1.31850i −0.0211057 0.0579875i
\(518\) 22.0787 5.85362i 0.970083 0.257193i
\(519\) −2.92591 + 3.48696i −0.128433 + 0.153060i
\(520\) 19.0607 33.2120i 0.835866 1.45644i
\(521\) 30.2443 17.4615i 1.32502 0.765004i 0.340499 0.940245i \(-0.389404\pi\)
0.984526 + 0.175241i \(0.0560705\pi\)
\(522\) −11.1603 + 5.16836i −0.488474 + 0.226213i
\(523\) −38.8181 6.84468i −1.69740 0.299297i −0.760613 0.649205i \(-0.775102\pi\)
−0.936784 + 0.349908i \(0.886213\pi\)
\(524\) −2.08455 12.1979i −0.0910640 0.532867i
\(525\) 4.06819 + 6.71667i 0.177550 + 0.293140i
\(526\) 8.76917 + 0.790508i 0.382354 + 0.0344678i
\(527\) 11.8802 32.6406i 0.517510 1.42185i
\(528\) 0.216741 + 0.0814861i 0.00943243 + 0.00354623i
\(529\) −9.98922 + 8.38195i −0.434314 + 0.364433i
\(530\) 0.320606 0.188476i 0.0139262 0.00818689i
\(531\) 12.1120 0.525615
\(532\) 24.8952 + 15.4452i 1.07934 + 0.669636i
\(533\) 16.3510i 0.708241i
\(534\) 2.01631 + 2.02697i 0.0872543 + 0.0877157i
\(535\) 24.1136 11.5540i 1.04252 0.499522i
\(536\) 3.68462 2.53680i 0.159151 0.109573i
\(537\) −2.32181 + 6.37911i −0.100193 + 0.275279i
\(538\) −3.13467 + 34.7731i −0.135145 + 1.49917i
\(539\) 0.460610 + 0.265933i 0.0198399 + 0.0114546i
\(540\) −12.0427 0.990267i −0.518237 0.0426143i
\(541\) 1.29084 7.32072i 0.0554976 0.314742i −0.944404 0.328788i \(-0.893360\pi\)
0.999901 + 0.0140456i \(0.00447099\pi\)
\(542\) 23.3610 10.8185i 1.00344 0.464694i
\(543\) −5.01630 8.68849i −0.215270 0.372859i
\(544\) −24.5815 17.6997i −1.05392 0.758868i
\(545\) 1.28566 + 1.79570i 0.0550715 + 0.0769192i
\(546\) −3.44626 12.9986i −0.147486 0.556290i
\(547\) 11.5905 + 31.8446i 0.495573 + 1.36158i 0.895513 + 0.445034i \(0.146809\pi\)
−0.399941 + 0.916541i \(0.630969\pi\)
\(548\) −7.11229 + 2.54626i −0.303822 + 0.108771i
\(549\) 3.54735 + 20.1180i 0.151397 + 0.858617i
\(550\) −0.0923397 0.871007i −0.00393738 0.0371399i
\(551\) −13.3539 2.72021i −0.568894 0.115885i
\(552\) 4.03785 1.04778i 0.171862 0.0445963i
\(553\) −6.60865 37.4795i −0.281028 1.59379i
\(554\) 6.36164 + 1.72259i 0.270280 + 0.0731858i
\(555\) −4.99830 + 0.490206i −0.212166 + 0.0208081i
\(556\) 10.2794 + 8.71824i 0.435944 + 0.369736i
\(557\) −7.87765 + 9.38822i −0.333787 + 0.397792i −0.906667 0.421848i \(-0.861382\pi\)
0.572880 + 0.819639i \(0.305826\pi\)
\(558\) −2.15700 25.4267i −0.0913132 1.07640i
\(559\) 36.4264 + 63.0924i 1.54067 + 2.66853i
\(560\) 12.7018 + 27.2427i 0.536748 + 1.15122i
\(561\) 0.305264 + 0.0538263i 0.0128883 + 0.00227255i
\(562\) −12.2502 + 26.0908i −0.516744 + 1.10057i
\(563\) 3.27238 + 1.88931i 0.137915 + 0.0796250i 0.567370 0.823463i \(-0.307961\pi\)
−0.429455 + 0.903088i \(0.641294\pi\)
\(564\) −5.24523 9.19668i −0.220864 0.387250i
\(565\) −10.6189 + 15.5094i −0.446742 + 0.652484i
\(566\) −10.1930 + 14.4757i −0.428444 + 0.608460i
\(567\) 18.2321 15.2985i 0.765675 0.642477i
\(568\) −7.68488 + 3.50978i −0.322450 + 0.147267i
\(569\) 5.11343i 0.214366i 0.994239 + 0.107183i \(0.0341831\pi\)
−0.994239 + 0.107183i \(0.965817\pi\)
\(570\) −4.85695 4.23154i −0.203435 0.177240i
\(571\) 15.0942i 0.631673i 0.948814 + 0.315836i \(0.102285\pi\)
−0.948814 + 0.315836i \(0.897715\pi\)
\(572\) −0.268253 + 1.47579i −0.0112162 + 0.0617057i
\(573\) 5.22404 4.38349i 0.218237 0.183123i
\(574\) 10.4942 + 7.38946i 0.438021 + 0.308430i
\(575\) −10.3945 11.8724i −0.433481 0.495114i
\(576\) −21.8509 4.21038i −0.910452 0.175432i
\(577\) 31.4897 + 18.1806i 1.31093 + 0.756867i 0.982250 0.187574i \(-0.0600624\pi\)
0.328681 + 0.944441i \(0.393396\pi\)
\(578\) −14.9428 7.01596i −0.621538 0.291825i
\(579\) 1.12462 + 0.198301i 0.0467377 + 0.00824112i
\(580\) −9.93836 9.83511i −0.412668 0.408381i
\(581\) 11.9995 + 20.7837i 0.497821 + 0.862252i
\(582\) −7.22201 + 0.612659i −0.299362 + 0.0253955i
\(583\) −0.00936397 + 0.0111595i −0.000387816 + 0.000462181i
\(584\) 18.0808 + 1.72609i 0.748190 + 0.0714263i
\(585\) −3.67575 37.4791i −0.151974 1.54957i
\(586\) −0.819960 + 3.02817i −0.0338722 + 0.125093i
\(587\) −8.00064 45.3739i −0.330222 1.87278i −0.470100 0.882613i \(-0.655782\pi\)
0.139878 0.990169i \(-0.455329\pi\)
\(588\) 3.76392 + 1.39248i 0.155221 + 0.0574248i
\(589\) 14.7798 24.1055i 0.608992 0.993249i
\(590\) 4.81100 + 12.9017i 0.198066 + 0.531156i
\(591\) −1.94805 11.0479i −0.0801319 0.454451i
\(592\) −19.2232 0.202763i −0.790069 0.00833352i
\(593\) −12.5909 34.5933i −0.517047 1.42058i −0.873758 0.486361i \(-0.838324\pi\)
0.356711 0.934215i \(-0.383898\pi\)
\(594\) 0.457511 0.121298i 0.0187719 0.00497690i
\(595\) 23.4244 + 32.7173i 0.960308 + 1.34128i
\(596\) 20.9567 + 25.2444i 0.858418 + 1.03405i
\(597\) −0.110483 0.191362i −0.00452176 0.00783192i
\(598\) 11.3558 + 24.5212i 0.464373 + 1.00274i
\(599\) −0.850222 + 4.82185i −0.0347391 + 0.197015i −0.997238 0.0742695i \(-0.976337\pi\)
0.962499 + 0.271285i \(0.0874486\pi\)
\(600\) −1.79391 6.36096i −0.0732360 0.259685i
\(601\) 1.65208 + 0.953830i 0.0673899 + 0.0389076i 0.533316 0.845916i \(-0.320946\pi\)
−0.465926 + 0.884823i \(0.654279\pi\)
\(602\) −56.9554 5.13432i −2.32133 0.209259i
\(603\) 1.50468 4.13407i 0.0612753 0.168352i
\(604\) −0.132082 + 25.0452i −0.00537436 + 1.01907i
\(605\) −10.6136 22.1510i −0.431504 0.900564i
\(606\) 4.93789 4.91192i 0.200588 0.199533i
\(607\) 16.1506i 0.655533i −0.944759 0.327767i \(-0.893704\pi\)
0.944759 0.327767i \(-0.106296\pi\)
\(608\) −16.7316 18.1123i −0.678555 0.734549i
\(609\) −4.91026 −0.198974
\(610\) −20.0208 + 11.7698i −0.810619 + 0.476544i
\(611\) 52.5379 44.0846i 2.12546 1.78347i
\(612\) −29.7889 0.157100i −1.20414 0.00635038i
\(613\) −9.84341 + 27.0446i −0.397572 + 1.09232i 0.565892 + 0.824480i \(0.308532\pi\)
−0.963463 + 0.267840i \(0.913690\pi\)
\(614\) −1.28070 + 14.2069i −0.0516849 + 0.573345i
\(615\) −2.01633 1.97445i −0.0813064 0.0796173i
\(616\) −0.825943 0.839115i −0.0332782 0.0338089i
\(617\) −7.05674 1.24429i −0.284094 0.0500934i 0.0297856 0.999556i \(-0.490518\pi\)
−0.313879 + 0.949463i \(0.601629\pi\)
\(618\) −3.59856 7.77057i −0.144755 0.312578i
\(619\) −18.0822 + 10.4398i −0.726787 + 0.419610i −0.817245 0.576290i \(-0.804500\pi\)
0.0904588 + 0.995900i \(0.471167\pi\)
\(620\) 26.2279 12.3974i 1.05334 0.497892i
\(621\) 5.48114 6.53217i 0.219951 0.262127i
\(622\) 0.138928 + 0.524009i 0.00557050 + 0.0210108i
\(623\) −4.97223 13.6611i −0.199208 0.547320i
\(624\) −0.119375 + 11.3175i −0.00477883 + 0.453062i
\(625\) −18.4598 + 16.8593i −0.738392 + 0.674372i
\(626\) −18.4880 26.5523i −0.738927 1.06124i
\(627\) 0.234749 + 0.0925349i 0.00937496 + 0.00369549i
\(628\) 7.99345 + 2.95721i 0.318973 + 0.118005i
\(629\) −25.3441 + 4.46885i −1.01054 + 0.178185i
\(630\) 25.7157 + 14.5787i 1.02454 + 0.580829i
\(631\) −7.09703 19.4989i −0.282528 0.776240i −0.997059 0.0766361i \(-0.975582\pi\)
0.714531 0.699604i \(-0.246640\pi\)
\(632\) −3.04400 + 31.8858i −0.121084 + 1.26835i
\(633\) −2.20561 + 2.62855i −0.0876653 + 0.104475i
\(634\) −3.40811 40.1748i −0.135354 1.59554i
\(635\) −11.4964 41.1716i −0.456219 1.63384i
\(636\) −0.0554623 + 0.0949041i −0.00219922 + 0.00376319i
\(637\) −4.51438 + 25.6023i −0.178866 + 1.01440i
\(638\) 0.495767 + 0.232773i 0.0196276 + 0.00921558i
\(639\) −4.15428 + 7.19542i −0.164341 + 0.284646i
\(640\) −4.19447 24.9481i −0.165801 0.986159i
\(641\) −7.23199 + 19.8697i −0.285647 + 0.784808i 0.711016 + 0.703176i \(0.248235\pi\)
−0.996663 + 0.0816317i \(0.973987\pi\)
\(642\) −4.55007 + 6.46184i −0.179577 + 0.255029i
\(643\) −10.6935 + 8.97290i −0.421710 + 0.353856i −0.828813 0.559526i \(-0.810983\pi\)
0.407103 + 0.913382i \(0.366539\pi\)
\(644\) −20.8699 3.79352i −0.822390 0.149486i
\(645\) 12.1789 + 3.12671i 0.479544 + 0.123114i
\(646\) −26.4776 19.7105i −1.04175 0.775500i
\(647\) 13.2331 0.520246 0.260123 0.965576i \(-0.416237\pi\)
0.260123 + 0.965576i \(0.416237\pi\)
\(648\) −18.2208 + 8.32168i −0.715782 + 0.326907i
\(649\) −0.346698 0.413178i −0.0136091 0.0162187i
\(650\) 38.4630 18.8025i 1.50864 0.737496i
\(651\) 3.48445 9.57344i 0.136566 0.375213i
\(652\) 17.7866 10.1444i 0.696578 0.397286i
\(653\) 10.2474 + 5.91634i 0.401012 + 0.231524i 0.686921 0.726732i \(-0.258962\pi\)
−0.285908 + 0.958257i \(0.592295\pi\)
\(654\) −0.590869 0.277426i −0.0231048 0.0108482i
\(655\) 5.71516 12.5998i 0.223310 0.492314i
\(656\) −6.85591 8.34781i −0.267678 0.325927i
\(657\) 15.4692 8.93116i 0.603512 0.348438i
\(658\) 4.55060 + 53.6424i 0.177401 + 2.09120i
\(659\) 7.77585 + 6.52471i 0.302904 + 0.254167i 0.781552 0.623840i \(-0.214428\pi\)
−0.478648 + 0.878007i \(0.658873\pi\)
\(660\) 0.149595 + 0.211287i 0.00582297 + 0.00822432i
\(661\) 1.60132 + 4.39958i 0.0622840 + 0.171124i 0.966931 0.255038i \(-0.0820878\pi\)
−0.904647 + 0.426161i \(0.859866\pi\)
\(662\) −7.25195 + 26.7820i −0.281855 + 1.04091i
\(663\) 2.63099 + 14.9211i 0.102179 + 0.579488i
\(664\) −5.07323 19.5509i −0.196880 0.758722i
\(665\) 13.3685 + 29.9030i 0.518409 + 1.15959i
\(666\) −15.5154 + 10.8032i −0.601211 + 0.418614i
\(667\) 9.71718 1.71340i 0.376251 0.0663431i
\(668\) −31.1710 + 11.1595i −1.20604 + 0.431774i
\(669\) −4.52276 + 1.64615i −0.174860 + 0.0636438i
\(670\) 5.00131 0.0393038i 0.193218 0.00151844i
\(671\) 0.584750 0.696878i 0.0225740 0.0269027i
\(672\) −7.20973 5.19129i −0.278121 0.200259i
\(673\) −9.59635 16.6214i −0.369912 0.640706i 0.619639 0.784887i \(-0.287279\pi\)
−0.989551 + 0.144180i \(0.953945\pi\)
\(674\) −5.68764 12.2816i −0.219080 0.473071i
\(675\) −10.5290 8.46470i −0.405260 0.325806i
\(676\) −46.6413 + 7.97072i −1.79389 + 0.306566i
\(677\) 14.3635 24.8783i 0.552034 0.956150i −0.446094 0.894986i \(-0.647185\pi\)
0.998128 0.0611642i \(-0.0194813\pi\)
\(678\) 0.498792 5.53314i 0.0191560 0.212499i
\(679\) 34.6322 + 12.6051i 1.32906 + 0.483738i
\(680\) −11.6651 31.7937i −0.447337 1.21923i
\(681\) −3.37156 + 2.82907i −0.129198 + 0.108410i
\(682\) −0.805644 + 0.801406i −0.0308497 + 0.0306874i
\(683\) 19.2351i 0.736010i 0.929824 + 0.368005i \(0.119959\pi\)
−0.929824 + 0.368005i \(0.880041\pi\)
\(684\) −23.7356 4.96550i −0.907553 0.189861i
\(685\) −8.18071 2.10025i −0.312569 0.0802463i
\(686\) 9.07059 + 9.11855i 0.346317 + 0.348148i
\(687\) −3.53645 4.21458i −0.134924 0.160796i
\(688\) 45.0515 + 16.9376i 1.71757 + 0.645741i
\(689\) −0.669119 0.243539i −0.0254914 0.00927811i
\(690\) 4.39509 + 1.56068i 0.167318 + 0.0594141i
\(691\) −28.8741 16.6705i −1.09842 0.634175i −0.162617 0.986689i \(-0.551994\pi\)
−0.935807 + 0.352514i \(0.885327\pi\)
\(692\) −19.2020 + 3.28151i −0.729950 + 0.124744i
\(693\) −1.14033 0.201070i −0.0433174 0.00763803i
\(694\) 5.46686 + 11.8049i 0.207519 + 0.448108i
\(695\) 4.05285 + 14.5144i 0.153733 + 0.550562i
\(696\) 3.98326 + 1.10116i 0.150985 + 0.0417392i
\(697\) −11.0776 9.29520i −0.419593 0.352081i
\(698\) 39.8336 10.5609i 1.50773 0.399736i
\(699\) −0.186440 + 0.0678585i −0.00705179 + 0.00256664i
\(700\) −5.31479 + 33.1833i −0.200880 + 1.25421i
\(701\) 2.17829 + 12.3537i 0.0822728 + 0.466592i 0.997912 + 0.0645908i \(0.0205742\pi\)
−0.915639 + 0.402001i \(0.868315\pi\)
\(702\) 13.2199 + 18.9864i 0.498954 + 0.716594i
\(703\) −20.9419 0.553405i −0.789837 0.0208721i
\(704\) 0.481838 + 0.865923i 0.0181600 + 0.0326357i
\(705\) 0.907846 11.8021i 0.0341914 0.444494i
\(706\) 18.3382 + 4.96558i 0.690169 + 0.186882i
\(707\) −33.2797 + 12.1128i −1.25161 + 0.455549i
\(708\) −3.10383 2.63244i −0.116649 0.0989331i
\(709\) 1.97546 + 1.65761i 0.0741900 + 0.0622528i 0.679129 0.734019i \(-0.262358\pi\)
−0.604939 + 0.796272i \(0.706802\pi\)
\(710\) −9.31473 1.56706i −0.349575 0.0588109i
\(711\) 15.7503 + 27.2803i 0.590681 + 1.02309i
\(712\) 0.969947 + 12.1971i 0.0363503 + 0.457105i
\(713\) −3.55498 + 20.1613i −0.133135 + 0.755046i
\(714\) −10.7655 5.05465i −0.402890 0.189166i
\(715\) −1.17332 + 1.19821i −0.0438796 + 0.0448105i
\(716\) −25.2362 + 14.3932i −0.943120 + 0.537899i
\(717\) 13.2174 + 4.81074i 0.493613 + 0.179660i
\(718\) 36.5888 + 25.7638i 1.36548 + 0.961496i
\(719\) 25.1654 + 29.9910i 0.938512 + 1.11848i 0.992780 + 0.119949i \(0.0382731\pi\)
−0.0542677 + 0.998526i \(0.517282\pi\)
\(720\) −17.5915 17.5933i −0.655595 0.655664i
\(721\) 43.5436i 1.62165i
\(722\) −17.9173 20.0243i −0.666812 0.745226i
\(723\) 3.75906 0.139801
\(724\) 7.67859 42.2435i 0.285372 1.56997i
\(725\) −3.03709 15.3347i −0.112795 0.569515i
\(726\) 5.93591 + 4.17974i 0.220302 + 0.155125i
\(727\) −11.4446 4.16549i −0.424456 0.154489i 0.120955 0.992658i \(-0.461404\pi\)
−0.545411 + 0.838169i \(0.683626\pi\)
\(728\) 24.7340 51.9649i 0.916702 1.92595i
\(729\) −7.95574 + 13.7798i −0.294657 + 0.510361i
\(730\) 15.6581 + 12.9304i 0.579531 + 0.478574i
\(731\) 63.4519 + 11.1883i 2.34685 + 0.413814i
\(732\) 3.46344 5.92646i 0.128013 0.219048i
\(733\) −3.59670 + 2.07656i −0.132847 + 0.0766993i −0.564951 0.825125i \(-0.691105\pi\)
0.432104 + 0.901824i \(0.357771\pi\)
\(734\) −0.469039 5.52902i −0.0173125 0.204080i
\(735\) 2.61203 + 3.64827i 0.0963463 + 0.134568i
\(736\) 16.0792 + 7.75755i 0.592687 + 0.285947i
\(737\) −0.184097 + 0.0670058i −0.00678130 + 0.00246819i
\(738\) −10.2542 2.77660i −0.377462 0.102208i
\(739\) 11.4880 2.02564i 0.422593 0.0745145i 0.0416921 0.999131i \(-0.486725\pi\)
0.380900 + 0.924616i \(0.375614\pi\)
\(740\) −17.6705 12.2360i −0.649580 0.449804i
\(741\) −0.325812 + 12.3293i −0.0119690 + 0.452929i
\(742\) 0.458699 0.319385i 0.0168394 0.0117250i
\(743\) 30.8221 5.43476i 1.13075 0.199382i 0.423195 0.906039i \(-0.360908\pi\)
0.707557 + 0.706656i \(0.249797\pi\)
\(744\) −4.97353 + 6.98468i −0.182338 + 0.256071i
\(745\) 3.58040 + 36.5069i 0.131176 + 1.33751i
\(746\) 0.656459 0.174044i 0.0240347 0.00637219i
\(747\) −15.2167 12.7683i −0.556750 0.467169i
\(748\) 0.847329 + 1.02069i 0.0309814 + 0.0373202i
\(749\) 34.8021 20.0930i 1.27164 0.734182i
\(750\) 2.32590 7.01356i 0.0849300 0.256099i
\(751\) −4.62967 + 26.2561i −0.168939 + 0.958100i 0.775971 + 0.630769i \(0.217260\pi\)
−0.944910 + 0.327331i \(0.893851\pi\)
\(752\) 8.33813 44.5358i 0.304060 1.62405i
\(753\) 0.962121 1.66644i 0.0350616 0.0607286i
\(754\) −2.40355 + 26.6628i −0.0875321 + 0.971000i
\(755\) −15.8195 + 23.1050i −0.575731 + 0.840876i
\(756\) −18.1601 0.0957720i −0.660475 0.00348319i
\(757\) −3.58939 4.27767i −0.130459 0.155474i 0.696861 0.717207i \(-0.254580\pi\)
−0.827319 + 0.561732i \(0.810135\pi\)
\(758\) 12.0194 + 12.0830i 0.436565 + 0.438873i
\(759\) −0.182692 −0.00663129
\(760\) −4.13875 27.2557i −0.150128 0.988667i
\(761\) −13.6711 −0.495578 −0.247789 0.968814i \(-0.579704\pi\)
−0.247789 + 0.968814i \(0.579704\pi\)
\(762\) 8.91032 + 8.95743i 0.322787 + 0.324494i
\(763\) 2.13353 + 2.54264i 0.0772388 + 0.0920497i
\(764\) 29.1844 + 0.153912i 1.05585 + 0.00556834i
\(765\) −27.4812 18.8158i −0.993585 0.680288i
\(766\) −1.01825 + 11.2955i −0.0367909 + 0.408124i
\(767\) 13.1819 22.8318i 0.475972 0.824407i
\(768\)