Properties

Label 380.2.bb.a.59.14
Level $380$
Weight $2$
Character 380.59
Analytic conductor $3.034$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 59.14
Character \(\chi\) \(=\) 380.59
Dual form 380.2.bb.a.219.14

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

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

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.997360 + 1.00263i −0.705240 + 0.708969i
\(3\) 0.300395 0.357997i 0.173433 0.206690i −0.672325 0.740256i \(-0.734704\pi\)
0.845758 + 0.533566i \(0.179149\pi\)
\(4\) −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 −0.986494 0.163795i \(-0.947627\pi\)
0.351397 0.936227i \(-0.385707\pi\)
\(8\) 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 0.483741 0.875211i \(-0.339278\pi\)
−0.516085 + 0.856537i \(0.672611\pi\)
\(12\) −0.719153 0.597006i −0.207602 0.172341i
\(13\) −4.63813 + 3.89185i −1.28638 + 1.07941i −0.294055 + 0.955789i \(0.595005\pi\)
−0.992330 + 0.123616i \(0.960551\pi\)
\(14\) 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 −0.507431 0.861693i \(-0.669405\pi\)
−0.771545 + 0.636175i \(0.780516\pi\)
\(18\) −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 0.632163 0.774835i \(-0.282167\pi\)
−0.0137891 + 0.999905i \(0.504389\pi\)
\(24\) 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 0.119708 0.992809i \(-0.461804\pi\)
0.452049 + 0.891993i \(0.350693\pi\)
\(30\) 1.13952 0.941008i 0.208046 0.171804i
\(31\) −3.24345 5.61782i −0.582541 1.00899i −0.995177 0.0980944i \(-0.968725\pi\)
0.412636 0.910896i \(-0.364608\pi\)
\(32\) 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 −0.613267 0.789876i \(-0.710145\pi\)
0.884368 + 0.466790i \(0.154590\pi\)
\(42\) 1.81602 1.27874i 0.280218 0.197314i
\(43\) −11.3069 + 4.11538i −1.72429 + 0.627589i −0.998198 0.0600104i \(-0.980887\pi\)
−0.726090 + 0.687600i \(0.758664\pi\)
\(44\) −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 −0.698367 0.715739i \(-0.746090\pi\)
0.411453 0.911431i \(-0.365021\pi\)
\(48\) −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 0.349599 0.936899i \(-0.386318\pi\)
−0.334419 + 0.942425i \(0.608540\pi\)
\(54\) −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 −0.895201 0.445663i \(-0.852968\pi\)
0.993639 0.112609i \(-0.0359208\pi\)
\(60\) −0.193022 + 2.08104i −0.0249191 + 0.268661i
\(61\) −6.90121 2.51183i −0.883609 0.321607i −0.139944 0.990159i \(-0.544692\pi\)
−0.743665 + 0.668552i \(0.766914\pi\)
\(62\) 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 −0.0776919 0.996977i \(-0.524755\pi\)
0.267980 + 0.963425i \(0.413644\pi\)
\(68\) −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 −0.503160 0.864193i \(-0.667829\pi\)
0.170050 + 0.985435i \(0.445607\pi\)
\(72\) −4.46152 + 6.48022i −0.525795 + 0.763701i
\(73\) 4.12772 4.91923i 0.483114 0.575752i −0.468339 0.883549i \(-0.655147\pi\)
0.951452 + 0.307797i \(0.0995917\pi\)
\(74\) −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 0.00745528 0.999972i \(-0.497627\pi\)
−0.983486 + 0.180985i \(0.942071\pi\)
\(80\) 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 0.992703 0.120582i \(-0.0384760\pi\)
−0.600778 + 0.799416i \(0.705143\pi\)
\(84\) −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 0.598264 0.801299i \(-0.295857\pi\)
−0.893013 + 0.450031i \(0.851413\pi\)
\(90\) −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 0.721384 + 0.692536i \(0.243506\pi\)
−0.914740 + 0.404043i \(0.867605\pi\)
\(98\) −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 −0.145714 0.989327i \(-0.546548\pi\)
0.948994 + 0.315295i \(0.102103\pi\)
\(102\) 0.299144 3.52630i 0.0296196 0.349155i
\(103\) 11.2211 + 6.47850i 1.10565 + 0.638346i 0.937698 0.347450i \(-0.112952\pi\)
0.167949 + 0.985796i \(0.446286\pi\)
\(104\) −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 −0.908585 0.417700i \(-0.862836\pi\)
−0.0925532 + 0.995708i \(0.529503\pi\)
\(108\) 2.67721 4.69406i 0.257615 0.451686i
\(109\) 0.337802 + 0.928104i 0.0323556 + 0.0888963i 0.954819 0.297189i \(-0.0960492\pi\)
−0.922463 + 0.386085i \(0.873827\pi\)
\(110\) −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 −0.950984 0.309239i \(-0.899926\pi\)
−0.139405 0.990235i \(-0.544519\pi\)
\(128\) −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 −0.0990053 0.995087i \(-0.531566\pi\)
−0.433374 + 0.901214i \(0.642677\pi\)
\(132\) 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 −0.872194 0.489161i \(-0.837303\pi\)
0.982566 + 0.185917i \(0.0595254\pi\)
\(138\) −0.534527 + 2.01613i −0.0455020 + 0.171625i
\(139\) 4.33196 + 5.16262i 0.367432 + 0.437888i 0.917805 0.397030i \(-0.129959\pi\)
−0.550374 + 0.834918i \(0.685515\pi\)
\(140\) 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 0.990792 0.135391i \(-0.0432289\pi\)
0.0387155 + 0.999250i \(0.487673\pi\)
\(150\) −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 0.984167 0.177243i \(-0.0567179\pi\)
−0.867845 + 0.496834i \(0.834496\pi\)
\(158\) 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 −0.993841 0.110812i \(-0.964655\pi\)
0.592887 + 0.805286i \(0.297988\pi\)
\(164\) −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 −0.502580 0.864531i \(-0.667616\pi\)
0.940708 0.339217i \(-0.110162\pi\)
\(168\) −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 −0.850517 0.525947i \(-0.823711\pi\)
0.979109 0.203335i \(-0.0651779\pi\)
\(174\) 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 −0.455873 0.890045i \(-0.650673\pi\)
0.998738 0.0502250i \(-0.0159939\pi\)
\(180\) −8.75014 8.84200i −0.652197 0.659044i
\(181\) −21.1417 + 3.72785i −1.57145 + 0.277089i −0.890410 0.455159i \(-0.849583\pi\)
−0.681039 + 0.732247i \(0.738471\pi\)
\(182\) −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 \(0.177033\pi\)
−0.849285 + 0.527935i \(0.822967\pi\)
\(192\) 2.90164 + 2.35755i 0.209408 + 0.170142i
\(193\) 1.87190 + 1.57071i 0.134743 + 0.113062i 0.707668 0.706545i \(-0.249747\pi\)
−0.572926 + 0.819607i \(0.694192\pi\)
\(194\) −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 −0.999772 0.0213642i \(-0.993199\pi\)
−0.481384 + 0.876510i \(0.659866\pi\)
\(198\) 0.207095 + 0.441076i 0.0147176 + 0.0313459i
\(199\) −0.465640 + 0.0821049i −0.0330083 + 0.00582026i −0.190128 0.981759i \(-0.560890\pi\)
0.157120 + 0.987580i \(0.449779\pi\)
\(200\) −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 −0.908950 0.416906i \(-0.863114\pi\)
0.996723 0.0808845i \(-0.0257745\pi\)
\(212\) 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 −0.999996 0.00299548i \(-0.999047\pi\)
0.764116 0.645079i \(-0.223176\pi\)
\(224\) −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 \(-0.898820\pi\)
0.949904 0.312542i \(-0.101180\pi\)
\(228\) 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 0.934845 0.355055i \(-0.115538\pi\)
−0.944358 + 0.328919i \(0.893316\pi\)
\(234\) 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 0.957505 + 0.288416i \(0.0931285\pi\)
0.728528 + 0.685016i \(0.240205\pi\)
\(240\) 4.16406 + 0.364090i 0.268789 + 0.0235019i
\(241\) 5.17036 + 6.16180i 0.333052 + 0.396916i 0.906417 0.422384i \(-0.138807\pi\)
−0.573365 + 0.819300i \(0.694362\pi\)
\(242\) 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 −0.976169 0.217010i \(-0.930370\pi\)
0.887280 + 0.461231i \(0.152592\pi\)
\(252\) −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 −0.996912 0.0785220i \(-0.974980\pi\)
0.909935 0.414751i \(-0.136131\pi\)
\(258\) −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 0.483791 0.875184i \(-0.339260\pi\)
−0.777878 + 0.628415i \(0.783704\pi\)
\(264\) −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 0.0206212 + 0.999787i \(0.493436\pi\)
−0.988179 + 0.153303i \(0.951009\pi\)
\(270\) 6.50191 + 5.54340i 0.395694 + 0.337361i
\(271\) −6.22615 17.1062i −0.378212 1.03913i −0.972097 0.234578i \(-0.924629\pi\)
0.593886 0.804549i \(-0.297593\pi\)
\(272\) 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 0.373826 0.927499i \(-0.378046\pi\)
−0.616325 + 0.787492i \(0.711379\pi\)
\(278\) −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 0.538189 + 0.842824i \(0.319109\pi\)
−0.954034 + 0.299700i \(0.903114\pi\)
\(282\) 7.22614 1.95668i 0.430310 0.116518i
\(283\) −2.17388 + 12.3287i −0.129224 + 0.732864i 0.849486 + 0.527612i \(0.176912\pi\)
−0.978709 + 0.205252i \(0.934199\pi\)
\(284\) 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 −0.896605 0.442832i \(-0.853974\pi\)
0.831806 + 0.555067i \(0.187307\pi\)
\(294\) −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 −0.918642 0.395091i \(-0.870713\pi\)
0.548609 + 0.836079i \(0.315158\pi\)
\(308\) 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 −0.509383 0.860540i \(-0.670126\pi\)
0.490558 + 0.871408i \(0.336793\pi\)
\(312\) −5.61412 + 5.70365i −0.317837 + 0.322906i
\(313\) 22.5307 3.97277i 1.27351 0.224554i 0.504287 0.863536i \(-0.331755\pi\)
0.769222 + 0.638982i \(0.220644\pi\)
\(314\) −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 0.228198 0.973615i \(-0.426717\pi\)
0.998450 0.0556648i \(-0.0177278\pi\)
\(318\) −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 0.459750 + 0.888048i \(0.347939\pi\)
−0.998947 + 0.0458692i \(0.985394\pi\)
\(332\) 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 −0.0852479 0.996360i \(-0.527168\pi\)
0.575144 + 0.818052i \(0.304946\pi\)
\(338\) 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 −0.563453 0.826148i \(-0.690527\pi\)
0.0994077 + 0.995047i \(0.468305\pi\)
\(348\) −2.53840 1.44775i −0.136072 0.0776075i
\(349\) −14.5699 25.2358i −0.779908 1.35084i −0.931994 0.362473i \(-0.881933\pi\)
0.152086 0.988367i \(-0.451401\pi\)
\(350\) −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 0.157340 0.987544i \(-0.449708\pi\)
−0.776568 + 0.630033i \(0.783041\pi\)
\(354\) 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 −0.726786 0.686864i \(-0.758987\pi\)
−0.917877 + 0.396866i \(0.870098\pi\)
\(360\) 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 −0.560960 0.827843i \(-0.689568\pi\)
0.717856 + 0.696192i \(0.245124\pi\)
\(368\) −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 0.859742 0.510728i \(-0.170624\pi\)
−0.872175 + 0.489194i \(0.837291\pi\)
\(374\) −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 −0.881493 0.472196i \(-0.843461\pi\)
0.618092 + 0.786105i \(0.287906\pi\)
\(384\) −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 0.987128 0.159934i \(-0.0511281\pi\)
−0.982297 + 0.187329i \(0.940017\pi\)
\(390\) −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 0.471303 0.881971i \(-0.343784\pi\)
0.141228 + 0.989977i \(0.454895\pi\)
\(398\) 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 0.762696 0.646757i \(-0.223875\pi\)
0.495496 + 0.868610i \(0.334986\pi\)
\(402\) 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 0.462579 0.886578i \(-0.346924\pi\)
0.737910 + 0.674899i \(0.235813\pi\)
\(410\) 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 \(0.0572044\pi\)
−0.983895 + 0.178747i \(0.942796\pi\)
\(420\) 6.38096 2.93503i 0.311359 0.143215i
\(421\) −12.4412 + 14.8269i −0.606348 + 0.722618i −0.978659 0.205490i \(-0.934121\pi\)
0.372311 + 0.928108i \(0.378566\pi\)
\(422\) 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 −0.953913 0.300085i \(-0.902985\pi\)
0.129880 + 0.991530i \(0.458541\pi\)
\(432\) −9.41623 5.30484i −0.453039 0.255229i
\(433\) −19.6537 7.15338i −0.944499 0.343769i −0.176558 0.984290i \(-0.556496\pi\)
−0.767941 + 0.640521i \(0.778718\pi\)
\(434\) −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 0.728998 + 0.684516i \(0.239986\pi\)
−0.919152 + 0.393903i \(0.871125\pi\)
\(440\) −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 −0.681846 0.731496i \(-0.738822\pi\)
0.601982 + 0.798510i \(0.294378\pi\)
\(444\) −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 −0.318371 0.947966i \(-0.603136\pi\)
0.661777 + 0.749700i \(0.269802\pi\)
\(450\) 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 \(-0.961391\pi\)
0.992653 0.120996i \(-0.0386087\pi\)
\(458\) 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 −0.971864 0.235541i \(-0.924314\pi\)
−0.593088 + 0.805137i \(0.702091\pi\)
\(462\) −0.274010 + 0.0247010i −0.0127481 + 0.00114919i
\(463\) −12.9520 22.4334i −0.601928 1.04257i −0.992529 0.122010i \(-0.961066\pi\)
0.390601 0.920560i \(-0.372267\pi\)
\(464\) −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 −0.974119 0.226036i \(-0.927423\pi\)
0.682812 + 0.730594i \(0.260757\pi\)
\(468\) −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 0.542393 + 0.840125i \(0.317518\pi\)
−0.955519 + 0.294929i \(0.904704\pi\)
\(480\) −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 −0.176994 0.984212i \(-0.556637\pi\)
0.763856 + 0.645387i \(0.223304\pi\)
\(488\) −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 −0.345767 0.938321i \(-0.612381\pi\)
0.984107 + 0.177576i \(0.0568255\pi\)
\(492\) −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 0.921782 + 0.387709i \(0.126733\pi\)
−0.456912 + 0.889512i \(0.651044\pi\)
\(500\) −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 −0.986524 0.163617i \(-0.947684\pi\)
0.871069 0.491161i \(-0.163427\pi\)
\(504\) 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 −0.898503 0.438967i \(-0.855345\pi\)
0.970456 + 0.241279i \(0.0775669\pi\)
\(510\) −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 0.984526 0.175241i \(-0.0560705\pi\)
0.340499 + 0.940245i \(0.389404\pi\)
\(522\) −11.1603 5.16836i −0.488474 0.226213i
\(523\) −38.8181 + 6.84468i −1.69740 + 0.299297i −0.936784 0.349908i \(-0.886213\pi\)
−0.760613 + 0.649205i \(0.775102\pi\)
\(524\) −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 0.999901 0.0140456i \(-0.00447099\pi\)
−0.944404 + 0.328788i \(0.893360\pi\)
\(542\) 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 −0.399941 0.916541i \(-0.630969\pi\)
0.895513 0.445034i \(-0.146809\pi\)
\(548\) −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 0.572880 0.819639i \(-0.305826\pi\)
−0.906667 + 0.421848i \(0.861382\pi\)
\(558\) −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 −0.429455 0.903088i \(-0.641294\pi\)
0.567370 + 0.823463i \(0.307961\pi\)
\(564\) −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 \(-0.965817\pi\)
0.994239 0.107183i \(-0.0341831\pi\)
\(570\) −4.85695 + 4.23154i −0.203435 + 0.177240i
\(571\) 15.0942i 0.631673i −0.948814 0.315836i \(-0.897715\pi\)
0.948814 0.315836i \(-0.102285\pi\)
\(572\) −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 0.328681 0.944441i \(-0.393396\pi\)
0.982250 + 0.187574i \(0.0600624\pi\)
\(578\) −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 0.139878 + 0.990169i \(0.455329\pi\)
−0.470100 + 0.882613i \(0.655782\pi\)
\(588\) 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 0.356711 + 0.934215i \(0.383898\pi\)
−0.873758 + 0.486361i \(0.838324\pi\)
\(594\) 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 0.962499 0.271285i \(-0.0874486\pi\)
−0.997238 + 0.0742695i \(0.976337\pi\)
\(600\) −1.79391 + 6.36096i −0.0732360 + 0.259685i
\(601\) 1.65208 0.953830i 0.0673899 0.0389076i −0.465926 0.884823i \(-0.654279\pi\)
0.533316 + 0.845916i \(0.320946\pi\)
\(602\) −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 \(0.106296\pi\)
−0.944759 + 0.327767i \(0.893704\pi\)
\(608\) −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 −0.963463 0.267840i \(-0.913690\pi\)
0.565892 0.824480i \(-0.308532\pi\)
\(614\) −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 −0.313879 0.949463i \(-0.601629\pi\)
0.0297856 + 0.999556i \(0.490518\pi\)
\(618\) −3.59856 + 7.77057i −0.144755 + 0.312578i
\(619\) −18.0822 10.4398i −0.726787 0.419610i 0.0904588 0.995900i \(-0.471167\pi\)
−0.817245 + 0.576290i \(0.804500\pi\)
\(620\) 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 0.714531 + 0.699604i \(0.246640\pi\)
−0.997059 + 0.0766361i \(0.975582\pi\)
\(632\) −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 −0.996663 0.0816317i \(-0.973987\pi\)
0.711016 0.703176i \(-0.248235\pi\)
\(642\) −4.55007 6.46184i −0.179577 0.255029i
\(643\) −10.6935 8.97290i −0.421710 0.353856i 0.407103 0.913382i \(-0.366539\pi\)
−0.828813 + 0.559526i \(0.810983\pi\)
\(644\) −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 −0.285908 0.958257i \(-0.592295\pi\)
0.686921 + 0.726732i \(0.258962\pi\)
\(654\) −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 −0.478648 0.878007i \(-0.658873\pi\)
0.781552 + 0.623840i \(0.214428\pi\)
\(660\) 0.149595 0.211287i 0.00582297 0.00822432i
\(661\) 1.60132 4.39958i 0.0622840 0.171124i −0.904647 0.426161i \(-0.859866\pi\)
0.966931 + 0.255038i \(0.0820878\pi\)
\(662\) −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 −0.989551 0.144180i \(-0.953945\pi\)
0.619639 + 0.784887i \(0.287279\pi\)
\(674\) −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 0.998128 + 0.0611642i \(0.0194813\pi\)
−0.446094 + 0.894986i \(0.647185\pi\)
\(678\) 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 \(-0.880041\pi\)
0.929824 0.368005i \(-0.119959\pi\)
\(684\) −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 −0.935807 0.352514i \(-0.885327\pi\)
−0.162617 + 0.986689i \(0.551994\pi\)
\(692\) −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 −0.915639 0.402001i \(-0.868315\pi\)
0.997912 0.0645908i \(-0.0205742\pi\)
\(702\) 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 −0.604939 0.796272i \(-0.706802\pi\)
0.679129 + 0.734019i \(0.262358\pi\)
\(710\) −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 −0.0542677 0.998526i \(-0.517282\pi\)
0.992780 0.119949i \(-0.0382731\pi\)
\(720\) −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 −0.545411 0.838169i \(-0.683626\pi\)
0.120955 + 0.992658i \(0.461404\pi\)
\(728\) 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 0.432104 0.901824i \(-0.357771\pi\)
−0.564951 + 0.825125i \(0.691105\pi\)
\(734\) −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 0.380900 0.924616i \(-0.375614\pi\)
0.0416921 + 0.999131i \(0.486725\pi\)
\(740\) −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 0.707557 0.706656i \(-0.249797\pi\)
0.423195 + 0.906039i \(0.360908\pi\)
\(744\) −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 −0.944910 0.327331i \(-0.893851\pi\)
0.775971 0.630769i \(-0.217260\pi\)
\(752\) 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 −0.827319 0.561732i \(-0.810135\pi\)
0.696861 + 0.717207i \(0.254580\pi\)
\(758\) 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