Properties

Label 966.2.l.d.47.7
Level $966$
Weight $2$
Character 966.47
Analytic conductor $7.714$
Analytic rank $0$
Dimension $56$
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(47,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 5, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.47");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.l (of order \(6\), degree \(2\), 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: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 47.7
Character \(\chi\) \(=\) 966.47
Dual form 966.2.l.d.185.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.191760 - 1.72140i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.750837 + 1.30049i) q^{5} +(-1.02677 + 1.39490i) q^{6} +(-0.436788 - 2.60945i) q^{7} -1.00000i q^{8} +(-2.92646 - 0.660191i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.191760 - 1.72140i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.750837 + 1.30049i) q^{5} +(-1.02677 + 1.39490i) q^{6} +(-0.436788 - 2.60945i) q^{7} -1.00000i q^{8} +(-2.92646 - 0.660191i) q^{9} +(1.30049 - 0.750837i) q^{10} +(-2.66629 + 1.53939i) q^{11} +(1.58666 - 0.694633i) q^{12} -4.82980i q^{13} +(-0.926454 + 2.47824i) q^{14} +(2.09468 + 1.54187i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.20803 + 2.09237i) q^{17} +(2.20429 + 2.03497i) q^{18} +(-0.0226037 - 0.0130502i) q^{19} -1.50167 q^{20} +(-4.57567 + 0.251502i) q^{21} +3.07877 q^{22} +(-0.866025 - 0.500000i) q^{23} +(-1.72140 - 0.191760i) q^{24} +(1.37249 + 2.37722i) q^{25} +(-2.41490 + 4.18273i) q^{26} +(-1.69763 + 4.91101i) q^{27} +(2.04145 - 1.68299i) q^{28} -3.75951i q^{29} +(-1.04311 - 2.38264i) q^{30} +(-5.08651 + 2.93670i) q^{31} +(0.866025 - 0.500000i) q^{32} +(2.13861 + 4.88496i) q^{33} -2.41606i q^{34} +(3.72151 + 1.39123i) q^{35} +(-0.891486 - 2.86448i) q^{36} +(-5.30627 + 9.19073i) q^{37} +(0.0130502 + 0.0226037i) q^{38} +(-8.31402 - 0.926160i) q^{39} +(1.30049 + 0.750837i) q^{40} -1.28406 q^{41} +(4.08840 + 2.07003i) q^{42} -2.89689 q^{43} +(-2.66629 - 1.53939i) q^{44} +(3.05586 - 3.31013i) q^{45} +(0.500000 + 0.866025i) q^{46} +(1.52890 - 2.64814i) q^{47} +(1.39490 + 1.02677i) q^{48} +(-6.61843 + 2.27955i) q^{49} -2.74497i q^{50} +(3.83347 - 1.67828i) q^{51} +(4.18273 - 2.41490i) q^{52} +(-9.74877 + 5.62845i) q^{53} +(3.92570 - 3.40425i) q^{54} -4.62331i q^{55} +(-2.60945 + 0.436788i) q^{56} +(-0.0267992 + 0.0364076i) q^{57} +(-1.87975 + 3.25583i) q^{58} +(-3.71958 - 6.44250i) q^{59} +(-0.287961 + 2.58499i) q^{60} +(-3.95328 - 2.28243i) q^{61} +5.87339 q^{62} +(-0.444493 + 7.92480i) q^{63} -1.00000 q^{64} +(6.28109 + 3.62639i) q^{65} +(0.590384 - 5.29980i) q^{66} +(2.16870 + 3.75630i) q^{67} +(-1.20803 + 2.09237i) q^{68} +(-1.02677 + 1.39490i) q^{69} +(-2.52731 - 3.06560i) q^{70} -1.04121i q^{71} +(-0.660191 + 2.92646i) q^{72} +(-6.49916 + 3.75229i) q^{73} +(9.19073 - 5.30627i) q^{74} +(4.35534 - 1.90675i) q^{75} -0.0261005i q^{76} +(5.18155 + 6.28517i) q^{77} +(6.73708 + 4.95909i) q^{78} +(2.36902 - 4.10327i) q^{79} +(-0.750837 - 1.30049i) q^{80} +(8.12830 + 3.86404i) q^{81} +(1.11202 + 0.642028i) q^{82} +13.2584 q^{83} +(-2.50564 - 3.83689i) q^{84} -3.62814 q^{85} +(2.50878 + 1.44845i) q^{86} +(-6.47162 - 0.720921i) q^{87} +(1.53939 + 2.66629i) q^{88} +(-6.74426 + 11.6814i) q^{89} +(-4.30152 + 1.33872i) q^{90} +(-12.6031 + 2.10960i) q^{91} -1.00000i q^{92} +(4.07985 + 9.31907i) q^{93} +(-2.64814 + 1.52890i) q^{94} +(0.0339434 - 0.0195972i) q^{95} +(-0.694633 - 1.58666i) q^{96} +9.55661i q^{97} +(6.87151 + 1.33507i) q^{98} +(8.81908 - 2.74468i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q + 28 q^{4} + 8 q^{7} + 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q + 28 q^{4} + 8 q^{7} + 10 q^{9} + 12 q^{10} + 8 q^{15} - 28 q^{16} - 8 q^{18} - 24 q^{19} - 4 q^{21} - 12 q^{22} + 6 q^{24} - 8 q^{25} + 10 q^{28} + 6 q^{30} - 6 q^{31} + 30 q^{33} + 20 q^{36} + 4 q^{37} - 10 q^{39} + 12 q^{40} + 8 q^{42} - 104 q^{43} - 6 q^{45} + 28 q^{46} + 40 q^{49} - 22 q^{51} - 6 q^{52} + 18 q^{54} + 68 q^{57} - 30 q^{58} + 4 q^{60} - 84 q^{61} - 6 q^{63} - 56 q^{64} - 30 q^{66} + 2 q^{67} + 30 q^{70} + 8 q^{72} + 54 q^{73} - 24 q^{75} + 68 q^{78} - 6 q^{79} + 22 q^{81} + 4 q^{84} - 108 q^{85} - 126 q^{87} - 6 q^{88} - 42 q^{91} + 36 q^{93} - 18 q^{94} + 6 q^{96} + 48 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 0.191760 1.72140i 0.110712 0.993852i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −0.750837 + 1.30049i −0.335785 + 0.581596i −0.983635 0.180171i \(-0.942335\pi\)
0.647851 + 0.761767i \(0.275668\pi\)
\(6\) −1.02677 + 1.39490i −0.419177 + 0.569465i
\(7\) −0.436788 2.60945i −0.165090 0.986278i
\(8\) 1.00000i 0.353553i
\(9\) −2.92646 0.660191i −0.975486 0.220064i
\(10\) 1.30049 0.750837i 0.411251 0.237436i
\(11\) −2.66629 + 1.53939i −0.803918 + 0.464142i −0.844839 0.535020i \(-0.820304\pi\)
0.0409215 + 0.999162i \(0.486971\pi\)
\(12\) 1.58666 0.694633i 0.458029 0.200523i
\(13\) 4.82980i 1.33954i −0.742567 0.669772i \(-0.766392\pi\)
0.742567 0.669772i \(-0.233608\pi\)
\(14\) −0.926454 + 2.47824i −0.247605 + 0.662338i
\(15\) 2.09468 + 1.54187i 0.540845 + 0.398110i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 1.20803 + 2.09237i 0.292991 + 0.507475i 0.974515 0.224320i \(-0.0720162\pi\)
−0.681525 + 0.731795i \(0.738683\pi\)
\(18\) 2.20429 + 2.03497i 0.519556 + 0.479647i
\(19\) −0.0226037 0.0130502i −0.00518564 0.00299393i 0.497405 0.867518i \(-0.334286\pi\)
−0.502591 + 0.864525i \(0.667620\pi\)
\(20\) −1.50167 −0.335785
\(21\) −4.57567 + 0.251502i −0.998493 + 0.0548822i
\(22\) 3.07877 0.656396
\(23\) −0.866025 0.500000i −0.180579 0.104257i
\(24\) −1.72140 0.191760i −0.351380 0.0391428i
\(25\) 1.37249 + 2.37722i 0.274497 + 0.475443i
\(26\) −2.41490 + 4.18273i −0.473600 + 0.820300i
\(27\) −1.69763 + 4.91101i −0.326709 + 0.945125i
\(28\) 2.04145 1.68299i 0.385799 0.318056i
\(29\) 3.75951i 0.698123i −0.937100 0.349061i \(-0.886500\pi\)
0.937100 0.349061i \(-0.113500\pi\)
\(30\) −1.04311 2.38264i −0.190445 0.435009i
\(31\) −5.08651 + 2.93670i −0.913564 + 0.527446i −0.881576 0.472042i \(-0.843517\pi\)
−0.0319875 + 0.999488i \(0.510184\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 2.13861 + 4.88496i 0.372285 + 0.850362i
\(34\) 2.41606i 0.414351i
\(35\) 3.72151 + 1.39123i 0.629050 + 0.235161i
\(36\) −0.891486 2.86448i −0.148581 0.477414i
\(37\) −5.30627 + 9.19073i −0.872346 + 1.51095i −0.0127824 + 0.999918i \(0.504069\pi\)
−0.859563 + 0.511029i \(0.829264\pi\)
\(38\) 0.0130502 + 0.0226037i 0.00211703 + 0.00366680i
\(39\) −8.31402 0.926160i −1.33131 0.148304i
\(40\) 1.30049 + 0.750837i 0.205625 + 0.118718i
\(41\) −1.28406 −0.200536 −0.100268 0.994960i \(-0.531970\pi\)
−0.100268 + 0.994960i \(0.531970\pi\)
\(42\) 4.08840 + 2.07003i 0.630853 + 0.319412i
\(43\) −2.89689 −0.441772 −0.220886 0.975300i \(-0.570895\pi\)
−0.220886 + 0.975300i \(0.570895\pi\)
\(44\) −2.66629 1.53939i −0.401959 0.232071i
\(45\) 3.05586 3.31013i 0.455541 0.493445i
\(46\) 0.500000 + 0.866025i 0.0737210 + 0.127688i
\(47\) 1.52890 2.64814i 0.223013 0.386271i −0.732708 0.680543i \(-0.761744\pi\)
0.955722 + 0.294272i \(0.0950773\pi\)
\(48\) 1.39490 + 1.02677i 0.201336 + 0.148202i
\(49\) −6.61843 + 2.27955i −0.945490 + 0.325650i
\(50\) 2.74497i 0.388198i
\(51\) 3.83347 1.67828i 0.536793 0.235006i
\(52\) 4.18273 2.41490i 0.580040 0.334886i
\(53\) −9.74877 + 5.62845i −1.33910 + 0.773128i −0.986673 0.162713i \(-0.947975\pi\)
−0.352423 + 0.935841i \(0.614642\pi\)
\(54\) 3.92570 3.40425i 0.534220 0.463259i
\(55\) 4.62331i 0.623407i
\(56\) −2.60945 + 0.436788i −0.348702 + 0.0583683i
\(57\) −0.0267992 + 0.0364076i −0.00354964 + 0.00482230i
\(58\) −1.87975 + 3.25583i −0.246824 + 0.427511i
\(59\) −3.71958 6.44250i −0.484248 0.838742i 0.515589 0.856836i \(-0.327573\pi\)
−0.999836 + 0.0180947i \(0.994240\pi\)
\(60\) −0.287961 + 2.58499i −0.0371755 + 0.333720i
\(61\) −3.95328 2.28243i −0.506165 0.292235i 0.225091 0.974338i \(-0.427732\pi\)
−0.731256 + 0.682103i \(0.761065\pi\)
\(62\) 5.87339 0.745922
\(63\) −0.444493 + 7.92480i −0.0560008 + 0.998431i
\(64\) −1.00000 −0.125000
\(65\) 6.28109 + 3.62639i 0.779074 + 0.449798i
\(66\) 0.590384 5.29980i 0.0726712 0.652361i
\(67\) 2.16870 + 3.75630i 0.264949 + 0.458905i 0.967550 0.252679i \(-0.0813116\pi\)
−0.702601 + 0.711584i \(0.747978\pi\)
\(68\) −1.20803 + 2.09237i −0.146495 + 0.253737i
\(69\) −1.02677 + 1.39490i −0.123609 + 0.167926i
\(70\) −2.52731 3.06560i −0.302071 0.366409i
\(71\) 1.04121i 0.123569i −0.998090 0.0617844i \(-0.980321\pi\)
0.998090 0.0617844i \(-0.0196791\pi\)
\(72\) −0.660191 + 2.92646i −0.0778043 + 0.344886i
\(73\) −6.49916 + 3.75229i −0.760670 + 0.439173i −0.829536 0.558453i \(-0.811395\pi\)
0.0688665 + 0.997626i \(0.478062\pi\)
\(74\) 9.19073 5.30627i 1.06840 0.616842i
\(75\) 4.35534 1.90675i 0.502911 0.220172i
\(76\) 0.0261005i 0.00299393i
\(77\) 5.18155 + 6.28517i 0.590492 + 0.716261i
\(78\) 6.73708 + 4.95909i 0.762824 + 0.561506i
\(79\) 2.36902 4.10327i 0.266536 0.461654i −0.701429 0.712739i \(-0.747454\pi\)
0.967965 + 0.251086i \(0.0807876\pi\)
\(80\) −0.750837 1.30049i −0.0839462 0.145399i
\(81\) 8.12830 + 3.86404i 0.903144 + 0.429338i
\(82\) 1.11202 + 0.642028i 0.122803 + 0.0709001i
\(83\) 13.2584 1.45530 0.727649 0.685949i \(-0.240613\pi\)
0.727649 + 0.685949i \(0.240613\pi\)
\(84\) −2.50564 3.83689i −0.273388 0.418640i
\(85\) −3.62814 −0.393527
\(86\) 2.50878 + 1.44845i 0.270529 + 0.156190i
\(87\) −6.47162 0.720921i −0.693831 0.0772909i
\(88\) 1.53939 + 2.66629i 0.164099 + 0.284228i
\(89\) −6.74426 + 11.6814i −0.714891 + 1.23823i 0.248111 + 0.968732i \(0.420190\pi\)
−0.963002 + 0.269495i \(0.913143\pi\)
\(90\) −4.30152 + 1.33872i −0.453420 + 0.141114i
\(91\) −12.6031 + 2.10960i −1.32116 + 0.221146i
\(92\) 1.00000i 0.104257i
\(93\) 4.07985 + 9.31907i 0.423061 + 0.966342i
\(94\) −2.64814 + 1.52890i −0.273135 + 0.157694i
\(95\) 0.0339434 0.0195972i 0.00348252 0.00201063i
\(96\) −0.694633 1.58666i −0.0708957 0.161938i
\(97\) 9.55661i 0.970327i 0.874424 + 0.485163i \(0.161240\pi\)
−0.874424 + 0.485163i \(0.838760\pi\)
\(98\) 6.87151 + 1.33507i 0.694127 + 0.134862i
\(99\) 8.81908 2.74468i 0.886351 0.275851i
\(100\) −1.37249 + 2.37722i −0.137249 + 0.237722i
\(101\) 2.82588 + 4.89457i 0.281185 + 0.487028i 0.971677 0.236313i \(-0.0759391\pi\)
−0.690492 + 0.723340i \(0.742606\pi\)
\(102\) −4.15902 0.463303i −0.411804 0.0458739i
\(103\) 11.0575 + 6.38405i 1.08953 + 0.629039i 0.933451 0.358706i \(-0.116782\pi\)
0.156077 + 0.987745i \(0.450115\pi\)
\(104\) −4.82980 −0.473600
\(105\) 3.10851 6.13944i 0.303359 0.599148i
\(106\) 11.2569 1.09337
\(107\) −3.67527 2.12192i −0.355302 0.205134i 0.311716 0.950175i \(-0.399096\pi\)
−0.667018 + 0.745042i \(0.732430\pi\)
\(108\) −5.10188 + 0.985315i −0.490928 + 0.0948120i
\(109\) −8.32436 14.4182i −0.797329 1.38102i −0.921349 0.388735i \(-0.872912\pi\)
0.124020 0.992280i \(-0.460421\pi\)
\(110\) −2.31166 + 4.00391i −0.220408 + 0.381757i
\(111\) 14.8034 + 10.8966i 1.40508 + 1.03426i
\(112\) 2.47824 + 0.926454i 0.234172 + 0.0875417i
\(113\) 16.7516i 1.57586i −0.615768 0.787928i \(-0.711154\pi\)
0.615768 0.787928i \(-0.288846\pi\)
\(114\) 0.0414126 0.0181303i 0.00387864 0.00169805i
\(115\) 1.30049 0.750837i 0.121271 0.0700159i
\(116\) 3.25583 1.87975i 0.302296 0.174531i
\(117\) −3.18859 + 14.1342i −0.294785 + 1.30671i
\(118\) 7.43915i 0.684830i
\(119\) 4.93228 4.06622i 0.452141 0.372750i
\(120\) 1.54187 2.09468i 0.140753 0.191218i
\(121\) −0.760587 + 1.31737i −0.0691443 + 0.119761i
\(122\) 2.28243 + 3.95328i 0.206641 + 0.357913i
\(123\) −0.246230 + 2.21038i −0.0222018 + 0.199303i
\(124\) −5.08651 2.93670i −0.456782 0.263723i
\(125\) −11.6304 −1.04026
\(126\) 4.34734 6.64083i 0.387292 0.591612i
\(127\) 4.17322 0.370314 0.185157 0.982709i \(-0.440721\pi\)
0.185157 + 0.982709i \(0.440721\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −0.555507 + 4.98672i −0.0489096 + 0.439056i
\(130\) −3.62639 6.28109i −0.318055 0.550888i
\(131\) 4.64613 8.04733i 0.405934 0.703098i −0.588496 0.808500i \(-0.700280\pi\)
0.994430 + 0.105402i \(0.0336130\pi\)
\(132\) −3.16119 + 4.29457i −0.275146 + 0.373795i
\(133\) −0.0241809 + 0.0646833i −0.00209675 + 0.00560876i
\(134\) 4.33740i 0.374694i
\(135\) −5.11207 5.89512i −0.439977 0.507371i
\(136\) 2.09237 1.20803i 0.179419 0.103588i
\(137\) −9.67776 + 5.58745i −0.826826 + 0.477368i −0.852765 0.522295i \(-0.825076\pi\)
0.0259384 + 0.999664i \(0.491743\pi\)
\(138\) 1.58666 0.694633i 0.135065 0.0591311i
\(139\) 16.3842i 1.38969i −0.719159 0.694845i \(-0.755473\pi\)
0.719159 0.694845i \(-0.244527\pi\)
\(140\) 0.655914 + 3.91854i 0.0554348 + 0.331177i
\(141\) −4.26533 3.13967i −0.359206 0.264407i
\(142\) −0.520605 + 0.901714i −0.0436882 + 0.0756701i
\(143\) 7.43492 + 12.8777i 0.621739 + 1.07688i
\(144\) 2.03497 2.20429i 0.169581 0.183691i
\(145\) 4.88919 + 2.82278i 0.406025 + 0.234419i
\(146\) 7.50459 0.621084
\(147\) 2.65488 + 11.8301i 0.218971 + 0.975731i
\(148\) −10.6125 −0.872346
\(149\) 0.939767 + 0.542574i 0.0769887 + 0.0444494i 0.538000 0.842945i \(-0.319180\pi\)
−0.461011 + 0.887394i \(0.652513\pi\)
\(150\) −4.72521 0.526375i −0.385811 0.0429783i
\(151\) −8.61605 14.9234i −0.701164 1.21445i −0.968058 0.250726i \(-0.919331\pi\)
0.266894 0.963726i \(-0.414003\pi\)
\(152\) −0.0130502 + 0.0226037i −0.00105851 + 0.00183340i
\(153\) −2.15389 6.92077i −0.174131 0.559511i
\(154\) −1.34477 8.03389i −0.108365 0.647389i
\(155\) 8.81992i 0.708433i
\(156\) −3.35493 7.66324i −0.268610 0.613550i
\(157\) 9.16009 5.28858i 0.731055 0.422075i −0.0877532 0.996142i \(-0.527969\pi\)
0.818808 + 0.574068i \(0.194635\pi\)
\(158\) −4.10327 + 2.36902i −0.326438 + 0.188469i
\(159\) 7.81942 + 17.8609i 0.620120 + 1.41646i
\(160\) 1.50167i 0.118718i
\(161\) −0.926454 + 2.47824i −0.0730148 + 0.195313i
\(162\) −5.10729 7.41051i −0.401267 0.582224i
\(163\) −1.13546 + 1.96667i −0.0889357 + 0.154041i −0.907062 0.420998i \(-0.861680\pi\)
0.818126 + 0.575039i \(0.195013\pi\)
\(164\) −0.642028 1.11202i −0.0501339 0.0868345i
\(165\) −7.95858 0.886564i −0.619575 0.0690189i
\(166\) −11.4821 6.62920i −0.891185 0.514526i
\(167\) −7.09744 −0.549216 −0.274608 0.961556i \(-0.588548\pi\)
−0.274608 + 0.961556i \(0.588548\pi\)
\(168\) 0.251502 + 4.57567i 0.0194038 + 0.353021i
\(169\) −10.3269 −0.794379
\(170\) 3.14206 + 1.81407i 0.240985 + 0.139133i
\(171\) 0.0575331 + 0.0531137i 0.00439966 + 0.00406171i
\(172\) −1.44845 2.50878i −0.110443 0.191293i
\(173\) −5.73569 + 9.93450i −0.436076 + 0.755306i −0.997383 0.0723017i \(-0.976966\pi\)
0.561307 + 0.827608i \(0.310299\pi\)
\(174\) 5.24413 + 3.86015i 0.397557 + 0.292637i
\(175\) 5.60374 4.61977i 0.423603 0.349222i
\(176\) 3.07877i 0.232071i
\(177\) −11.8034 + 5.16748i −0.887198 + 0.388412i
\(178\) 11.6814 6.74426i 0.875559 0.505504i
\(179\) 13.2886 7.67215i 0.993233 0.573443i 0.0869938 0.996209i \(-0.472274\pi\)
0.906239 + 0.422766i \(0.138941\pi\)
\(180\) 4.39459 + 0.991392i 0.327553 + 0.0738940i
\(181\) 15.9378i 1.18465i −0.805699 0.592325i \(-0.798210\pi\)
0.805699 0.592325i \(-0.201790\pi\)
\(182\) 11.9694 + 4.47458i 0.887231 + 0.331678i
\(183\) −4.68705 + 6.36751i −0.346477 + 0.470700i
\(184\) −0.500000 + 0.866025i −0.0368605 + 0.0638442i
\(185\) −7.96830 13.8015i −0.585841 1.01471i
\(186\) 1.12628 10.1105i 0.0825828 0.741336i
\(187\) −6.44193 3.71925i −0.471081 0.271979i
\(188\) 3.05781 0.223013
\(189\) 13.5565 + 2.28481i 0.986093 + 0.166195i
\(190\) −0.0391945 −0.00284346
\(191\) 0.832944 + 0.480900i 0.0602697 + 0.0347967i 0.529832 0.848103i \(-0.322255\pi\)
−0.469562 + 0.882899i \(0.655588\pi\)
\(192\) −0.191760 + 1.72140i −0.0138391 + 0.124232i
\(193\) −1.72865 2.99410i −0.124431 0.215520i 0.797080 0.603874i \(-0.206377\pi\)
−0.921510 + 0.388354i \(0.873044\pi\)
\(194\) 4.77830 8.27627i 0.343062 0.594201i
\(195\) 7.44694 10.1169i 0.533286 0.724486i
\(196\) −5.28337 4.59196i −0.377383 0.327997i
\(197\) 12.2666i 0.873961i −0.899471 0.436980i \(-0.856048\pi\)
0.899471 0.436980i \(-0.143952\pi\)
\(198\) −9.00989 2.03258i −0.640305 0.144449i
\(199\) −21.0587 + 12.1582i −1.49281 + 0.861873i −0.999966 0.00824502i \(-0.997375\pi\)
−0.492843 + 0.870118i \(0.664042\pi\)
\(200\) 2.37722 1.37249i 0.168095 0.0970495i
\(201\) 6.88197 3.01290i 0.485417 0.212513i
\(202\) 5.65176i 0.397656i
\(203\) −9.81023 + 1.64211i −0.688543 + 0.115253i
\(204\) 3.37016 + 2.48074i 0.235959 + 0.173687i
\(205\) 0.964117 1.66990i 0.0673368 0.116631i
\(206\) −6.38405 11.0575i −0.444798 0.770412i
\(207\) 2.20429 + 2.03497i 0.153209 + 0.141440i
\(208\) 4.18273 + 2.41490i 0.290020 + 0.167443i
\(209\) 0.0803574 0.00555844
\(210\) −5.76177 + 3.76266i −0.397600 + 0.259648i
\(211\) −24.4887 −1.68587 −0.842935 0.538016i \(-0.819174\pi\)
−0.842935 + 0.538016i \(0.819174\pi\)
\(212\) −9.74877 5.62845i −0.669548 0.386564i
\(213\) −1.79234 0.199662i −0.122809 0.0136806i
\(214\) 2.12192 + 3.67527i 0.145052 + 0.251237i
\(215\) 2.17509 3.76737i 0.148340 0.256933i
\(216\) 4.91101 + 1.69763i 0.334152 + 0.115509i
\(217\) 9.88488 + 11.9903i 0.671029 + 0.813952i
\(218\) 16.6487i 1.12759i
\(219\) 5.21293 + 11.9072i 0.352257 + 0.804615i
\(220\) 4.00391 2.31166i 0.269943 0.155852i
\(221\) 10.1057 5.83455i 0.679785 0.392474i
\(222\) −7.37182 16.8385i −0.494764 1.13013i
\(223\) 25.7452i 1.72402i −0.506888 0.862012i \(-0.669204\pi\)
0.506888 0.862012i \(-0.330796\pi\)
\(224\) −1.68299 2.04145i −0.112450 0.136400i
\(225\) −2.44711 7.86292i −0.163140 0.524195i
\(226\) −8.37579 + 14.5073i −0.557149 + 0.965010i
\(227\) −3.81039 6.59979i −0.252904 0.438043i 0.711420 0.702767i \(-0.248052\pi\)
−0.964324 + 0.264724i \(0.914719\pi\)
\(228\) −0.0449295 0.00500502i −0.00297553 0.000331466i
\(229\) −5.56463 3.21274i −0.367721 0.212304i 0.304741 0.952435i \(-0.401430\pi\)
−0.672462 + 0.740131i \(0.734763\pi\)
\(230\) −1.50167 −0.0990175
\(231\) 11.8129 7.71429i 0.777233 0.507563i
\(232\) −3.75951 −0.246824
\(233\) −18.2981 10.5644i −1.19875 0.692098i −0.238472 0.971149i \(-0.576647\pi\)
−0.960276 + 0.279052i \(0.909980\pi\)
\(234\) 9.82849 10.6463i 0.642509 0.695968i
\(235\) 2.29592 + 3.97664i 0.149769 + 0.259408i
\(236\) 3.71958 6.44250i 0.242124 0.419371i
\(237\) −6.60909 4.86488i −0.429307 0.316008i
\(238\) −6.30459 + 1.05531i −0.408666 + 0.0684054i
\(239\) 3.04481i 0.196952i −0.995139 0.0984762i \(-0.968603\pi\)
0.995139 0.0984762i \(-0.0313968\pi\)
\(240\) −2.38264 + 1.04311i −0.153799 + 0.0673326i
\(241\) 17.9860 10.3842i 1.15858 0.668906i 0.207617 0.978210i \(-0.433429\pi\)
0.950963 + 0.309304i \(0.100096\pi\)
\(242\) 1.31737 0.760587i 0.0846841 0.0488924i
\(243\) 8.21025 13.2511i 0.526688 0.850059i
\(244\) 4.56485i 0.292235i
\(245\) 2.00484 10.3188i 0.128084 0.659242i
\(246\) 1.31843 1.79113i 0.0840600 0.114198i
\(247\) −0.0630300 + 0.109171i −0.00401050 + 0.00694640i
\(248\) 2.93670 + 5.08651i 0.186480 + 0.322993i
\(249\) 2.54243 22.8231i 0.161120 1.44635i
\(250\) 10.0722 + 5.81521i 0.637025 + 0.367786i
\(251\) −5.91219 −0.373174 −0.186587 0.982438i \(-0.559743\pi\)
−0.186587 + 0.982438i \(0.559743\pi\)
\(252\) −7.08532 + 3.57746i −0.446333 + 0.225359i
\(253\) 3.07877 0.193561
\(254\) −3.61412 2.08661i −0.226770 0.130926i
\(255\) −0.695731 + 6.24549i −0.0435684 + 0.391108i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 0.453399 0.785311i 0.0282823 0.0489863i −0.851538 0.524293i \(-0.824330\pi\)
0.879820 + 0.475307i \(0.157663\pi\)
\(258\) 2.97444 4.04087i 0.185181 0.251574i
\(259\) 26.3005 + 9.83204i 1.63423 + 0.610933i
\(260\) 7.25278i 0.449798i
\(261\) −2.48199 + 11.0020i −0.153631 + 0.681009i
\(262\) −8.04733 + 4.64613i −0.497166 + 0.287039i
\(263\) 25.1424 14.5160i 1.55035 0.895094i 0.552236 0.833688i \(-0.313775\pi\)
0.998113 0.0614061i \(-0.0195585\pi\)
\(264\) 4.88496 2.13861i 0.300648 0.131623i
\(265\) 16.9042i 1.03842i
\(266\) 0.0532830 0.0439270i 0.00326699 0.00269333i
\(267\) 18.8151 + 13.8496i 1.15147 + 0.847583i
\(268\) −2.16870 + 3.75630i −0.132474 + 0.229452i
\(269\) 14.2990 + 24.7666i 0.871827 + 1.51005i 0.860105 + 0.510117i \(0.170398\pi\)
0.0117223 + 0.999931i \(0.496269\pi\)
\(270\) 1.47962 + 7.66136i 0.0900470 + 0.466256i
\(271\) 14.1438 + 8.16593i 0.859175 + 0.496045i 0.863736 0.503945i \(-0.168118\pi\)
−0.00456084 + 0.999990i \(0.501452\pi\)
\(272\) −2.41606 −0.146495
\(273\) 1.21470 + 22.0995i 0.0735171 + 1.33753i
\(274\) 11.1749 0.675101
\(275\) −7.31890 4.22557i −0.441347 0.254812i
\(276\) −1.72140 0.191760i −0.103616 0.0115426i
\(277\) −7.29593 12.6369i −0.438370 0.759279i 0.559194 0.829037i \(-0.311111\pi\)
−0.997564 + 0.0697581i \(0.977777\pi\)
\(278\) −8.19210 + 14.1891i −0.491330 + 0.851008i
\(279\) 16.8242 5.23605i 1.00724 0.313474i
\(280\) 1.39123 3.72151i 0.0831421 0.222403i
\(281\) 8.03415i 0.479277i 0.970862 + 0.239639i \(0.0770290\pi\)
−0.970862 + 0.239639i \(0.922971\pi\)
\(282\) 2.12405 + 4.85170i 0.126486 + 0.288914i
\(283\) −1.32163 + 0.763045i −0.0785630 + 0.0453583i −0.538767 0.842455i \(-0.681110\pi\)
0.460204 + 0.887813i \(0.347776\pi\)
\(284\) 0.901714 0.520605i 0.0535069 0.0308922i
\(285\) −0.0272258 0.0621882i −0.00161271 0.00368371i
\(286\) 14.8698i 0.879271i
\(287\) 0.560860 + 3.35067i 0.0331065 + 0.197784i
\(288\) −2.86448 + 0.891486i −0.168791 + 0.0525313i
\(289\) 5.58132 9.66713i 0.328313 0.568655i
\(290\) −2.82278 4.88919i −0.165759 0.287103i
\(291\) 16.4508 + 1.83257i 0.964362 + 0.107427i
\(292\) −6.49916 3.75229i −0.380335 0.219586i
\(293\) 21.3633 1.24806 0.624028 0.781402i \(-0.285495\pi\)
0.624028 + 0.781402i \(0.285495\pi\)
\(294\) 3.61587 11.5726i 0.210882 0.674929i
\(295\) 11.1712 0.650412
\(296\) 9.19073 + 5.30627i 0.534201 + 0.308421i
\(297\) −3.03356 15.7075i −0.176025 0.911442i
\(298\) −0.542574 0.939767i −0.0314305 0.0544392i
\(299\) −2.41490 + 4.18273i −0.139657 + 0.241893i
\(300\) 3.82896 + 2.81846i 0.221065 + 0.162724i
\(301\) 1.26533 + 7.55928i 0.0729323 + 0.435710i
\(302\) 17.2321i 0.991596i
\(303\) 8.96741 3.92590i 0.515164 0.225537i
\(304\) 0.0226037 0.0130502i 0.00129641 0.000748483i
\(305\) 5.93654 3.42746i 0.339925 0.196256i
\(306\) −1.59506 + 7.07050i −0.0911837 + 0.404194i
\(307\) 18.9288i 1.08032i 0.841562 + 0.540161i \(0.181637\pi\)
−0.841562 + 0.540161i \(0.818363\pi\)
\(308\) −2.85234 + 7.62994i −0.162527 + 0.434756i
\(309\) 13.1099 17.8102i 0.745796 1.01319i
\(310\) −4.40996 + 7.63828i −0.250469 + 0.433825i
\(311\) −1.10821 1.91947i −0.0628408 0.108843i 0.832893 0.553433i \(-0.186683\pi\)
−0.895734 + 0.444590i \(0.853349\pi\)
\(312\) −0.926160 + 8.31402i −0.0524335 + 0.470689i
\(313\) 5.13701 + 2.96585i 0.290361 + 0.167640i 0.638105 0.769950i \(-0.279719\pi\)
−0.347744 + 0.937590i \(0.613052\pi\)
\(314\) −10.5772 −0.596904
\(315\) −9.97237 6.52829i −0.561879 0.367828i
\(316\) 4.73805 0.266536
\(317\) −24.0968 13.9123i −1.35341 0.781391i −0.364684 0.931131i \(-0.618823\pi\)
−0.988725 + 0.149740i \(0.952156\pi\)
\(318\) 2.15862 19.3777i 0.121049 1.08665i
\(319\) 5.78733 + 10.0239i 0.324028 + 0.561233i
\(320\) 0.750837 1.30049i 0.0419731 0.0726995i
\(321\) −4.35745 + 5.91973i −0.243209 + 0.330407i
\(322\) 2.04145 1.68299i 0.113766 0.0937895i
\(323\) 0.0630604i 0.00350878i
\(324\) 0.717790 + 8.97133i 0.0398772 + 0.498407i
\(325\) 11.4815 6.62883i 0.636877 0.367701i
\(326\) 1.96667 1.13546i 0.108924 0.0628871i
\(327\) −26.4158 + 11.5648i −1.46080 + 0.639532i
\(328\) 1.28406i 0.0709001i
\(329\) −7.57799 2.83292i −0.417788 0.156184i
\(330\) 6.44905 + 4.74708i 0.355009 + 0.261318i
\(331\) −10.0924 + 17.4805i −0.554727 + 0.960815i 0.443198 + 0.896424i \(0.353844\pi\)
−0.997925 + 0.0643914i \(0.979489\pi\)
\(332\) 6.62920 + 11.4821i 0.363825 + 0.630163i
\(333\) 21.5962 23.3931i 1.18347 1.28194i
\(334\) 6.14656 + 3.54872i 0.336325 + 0.194177i
\(335\) −6.51336 −0.355863
\(336\) 2.07003 4.08840i 0.112929 0.223040i
\(337\) −34.4475 −1.87648 −0.938238 0.345991i \(-0.887543\pi\)
−0.938238 + 0.345991i \(0.887543\pi\)
\(338\) 8.94338 + 5.16346i 0.486456 + 0.280855i
\(339\) −28.8362 3.21227i −1.56617 0.174467i
\(340\) −1.81407 3.14206i −0.0983818 0.170402i
\(341\) 9.04141 15.6602i 0.489620 0.848047i
\(342\) −0.0232682 0.0747644i −0.00125820 0.00404279i
\(343\) 8.83922 + 16.2748i 0.477273 + 0.878755i
\(344\) 2.89689i 0.156190i
\(345\) −1.04311 2.38264i −0.0561593 0.128277i
\(346\) 9.93450 5.73569i 0.534082 0.308353i
\(347\) 16.5783 9.57147i 0.889968 0.513823i 0.0160361 0.999871i \(-0.494895\pi\)
0.873932 + 0.486048i \(0.161562\pi\)
\(348\) −2.61148 5.96505i −0.139990 0.319760i
\(349\) 21.1015i 1.12953i −0.825250 0.564767i \(-0.808966\pi\)
0.825250 0.564767i \(-0.191034\pi\)
\(350\) −7.16286 + 1.19897i −0.382871 + 0.0640877i
\(351\) 23.7192 + 8.19921i 1.26604 + 0.437641i
\(352\) −1.53939 + 2.66629i −0.0820495 + 0.142114i
\(353\) 9.13391 + 15.8204i 0.486149 + 0.842034i 0.999873 0.0159209i \(-0.00506800\pi\)
−0.513725 + 0.857955i \(0.671735\pi\)
\(354\) 12.8058 + 1.42653i 0.680620 + 0.0758192i
\(355\) 1.35408 + 0.781779i 0.0718672 + 0.0414925i
\(356\) −13.4885 −0.714891
\(357\) −6.05379 9.27018i −0.320400 0.490630i
\(358\) −15.3443 −0.810971
\(359\) −20.9162 12.0760i −1.10392 0.637346i −0.166669 0.986013i \(-0.553301\pi\)
−0.937247 + 0.348667i \(0.886634\pi\)
\(360\) −3.31013 3.05586i −0.174459 0.161058i
\(361\) −9.49966 16.4539i −0.499982 0.865994i
\(362\) −7.96892 + 13.8026i −0.418837 + 0.725447i
\(363\) 2.12188 + 1.56190i 0.111370 + 0.0819783i
\(364\) −8.12851 9.85980i −0.426050 0.516794i
\(365\) 11.2694i 0.589870i
\(366\) 7.24286 3.17090i 0.378590 0.165745i
\(367\) −0.414105 + 0.239083i −0.0216161 + 0.0124801i −0.510769 0.859718i \(-0.670639\pi\)
0.489153 + 0.872198i \(0.337306\pi\)
\(368\) 0.866025 0.500000i 0.0451447 0.0260643i
\(369\) 3.75773 + 0.847722i 0.195620 + 0.0441306i
\(370\) 15.9366i 0.828504i
\(371\) 18.9453 + 22.9805i 0.983591 + 1.19309i
\(372\) −6.03062 + 8.19279i −0.312673 + 0.424776i
\(373\) 1.00479 1.74035i 0.0520260 0.0901117i −0.838840 0.544379i \(-0.816765\pi\)
0.890866 + 0.454267i \(0.150099\pi\)
\(374\) 3.71925 + 6.44193i 0.192318 + 0.333104i
\(375\) −2.23025 + 20.0207i −0.115169 + 1.03386i
\(376\) −2.64814 1.52890i −0.136567 0.0788472i
\(377\) −18.1576 −0.935166
\(378\) −10.5979 8.75697i −0.545097 0.450410i
\(379\) −19.9262 −1.02354 −0.511770 0.859123i \(-0.671010\pi\)
−0.511770 + 0.859123i \(0.671010\pi\)
\(380\) 0.0339434 + 0.0195972i 0.00174126 + 0.00100532i
\(381\) 0.800256 7.18380i 0.0409983 0.368037i
\(382\) −0.480900 0.832944i −0.0246050 0.0426171i
\(383\) −10.0209 + 17.3567i −0.512043 + 0.886885i 0.487859 + 0.872922i \(0.337778\pi\)
−0.999903 + 0.0139629i \(0.995555\pi\)
\(384\) 1.02677 1.39490i 0.0523971 0.0711831i
\(385\) −12.0643 + 2.01941i −0.614853 + 0.102919i
\(386\) 3.45729i 0.175972i
\(387\) 8.47763 + 1.91250i 0.430942 + 0.0972179i
\(388\) −8.27627 + 4.77830i −0.420164 + 0.242582i
\(389\) −14.8957 + 8.60002i −0.755240 + 0.436038i −0.827584 0.561342i \(-0.810285\pi\)
0.0723439 + 0.997380i \(0.476952\pi\)
\(390\) −11.5077 + 5.03802i −0.582714 + 0.255110i
\(391\) 2.41606i 0.122186i
\(392\) 2.27955 + 6.61843i 0.115135 + 0.334281i
\(393\) −12.9618 9.54101i −0.653834 0.481280i
\(394\) −6.13331 + 10.6232i −0.308992 + 0.535190i
\(395\) 3.55750 + 6.16177i 0.178997 + 0.310032i
\(396\) 6.78650 + 6.26521i 0.341035 + 0.314838i
\(397\) 17.6264 + 10.1766i 0.884645 + 0.510750i 0.872187 0.489173i \(-0.162701\pi\)
0.0124576 + 0.999922i \(0.496035\pi\)
\(398\) 24.3164 1.21887
\(399\) 0.106709 + 0.0540288i 0.00534214 + 0.00270482i
\(400\) −2.74497 −0.137249
\(401\) 1.52201 + 0.878732i 0.0760054 + 0.0438818i 0.537521 0.843250i \(-0.319361\pi\)
−0.461516 + 0.887132i \(0.652694\pi\)
\(402\) −7.46641 0.831738i −0.372391 0.0414833i
\(403\) 14.1836 + 24.5668i 0.706537 + 1.22376i
\(404\) −2.82588 + 4.89457i −0.140593 + 0.243514i
\(405\) −11.1282 + 7.66949i −0.552963 + 0.381100i
\(406\) 9.31697 + 3.48301i 0.462393 + 0.172859i
\(407\) 32.6736i 1.61957i
\(408\) −1.67828 3.83347i −0.0830871 0.189785i
\(409\) −17.4826 + 10.0936i −0.864458 + 0.499095i −0.865503 0.500905i \(-0.833001\pi\)
0.00104483 + 0.999999i \(0.499667\pi\)
\(410\) −1.66990 + 0.964117i −0.0824704 + 0.0476143i
\(411\) 7.76246 + 17.7308i 0.382894 + 0.874594i
\(412\) 12.7681i 0.629039i
\(413\) −15.1867 + 12.5200i −0.747288 + 0.616071i
\(414\) −0.891486 2.86448i −0.0438141 0.140782i
\(415\) −9.95490 + 17.2424i −0.488667 + 0.846396i
\(416\) −2.41490 4.18273i −0.118400 0.205075i
\(417\) −28.2038 3.14183i −1.38115 0.153856i
\(418\) −0.0695916 0.0401787i −0.00340384 0.00196521i
\(419\) −28.8533 −1.40957 −0.704787 0.709419i \(-0.748958\pi\)
−0.704787 + 0.709419i \(0.748958\pi\)
\(420\) 6.87117 0.377674i 0.335279 0.0184286i
\(421\) 9.07695 0.442384 0.221192 0.975230i \(-0.429005\pi\)
0.221192 + 0.975230i \(0.429005\pi\)
\(422\) 21.2078 + 12.2443i 1.03238 + 0.596045i
\(423\) −6.22255 + 6.74029i −0.302551 + 0.327724i
\(424\) 5.62845 + 9.74877i 0.273342 + 0.473442i
\(425\) −3.31601 + 5.74351i −0.160850 + 0.278601i
\(426\) 1.45238 + 1.06908i 0.0703681 + 0.0517972i
\(427\) −4.22913 + 11.3128i −0.204662 + 0.547465i
\(428\) 4.24384i 0.205134i
\(429\) 23.5933 10.3291i 1.13910 0.498692i
\(430\) −3.76737 + 2.17509i −0.181679 + 0.104892i
\(431\) 8.70617 5.02651i 0.419361 0.242118i −0.275443 0.961317i \(-0.588824\pi\)
0.694804 + 0.719199i \(0.255491\pi\)
\(432\) −3.40425 3.92570i −0.163787 0.188875i
\(433\) 7.21858i 0.346903i −0.984842 0.173451i \(-0.944508\pi\)
0.984842 0.173451i \(-0.0554919\pi\)
\(434\) −2.56543 15.3263i −0.123144 0.735686i
\(435\) 5.79669 7.87498i 0.277930 0.377576i
\(436\) 8.32436 14.4182i 0.398665 0.690508i
\(437\) 0.0130502 + 0.0226037i 0.000624278 + 0.00108128i
\(438\) 1.43908 12.9184i 0.0687617 0.617266i
\(439\) 8.66524 + 5.00288i 0.413569 + 0.238774i 0.692322 0.721589i \(-0.256588\pi\)
−0.278753 + 0.960363i \(0.589921\pi\)
\(440\) −4.62331 −0.220408
\(441\) 20.8735 2.30158i 0.993976 0.109599i
\(442\) −11.6691 −0.555042
\(443\) −32.1174 18.5430i −1.52594 0.881003i −0.999526 0.0307766i \(-0.990202\pi\)
−0.526416 0.850227i \(-0.676465\pi\)
\(444\) −2.03506 + 18.2685i −0.0965795 + 0.866983i
\(445\) −10.1277 17.5417i −0.480099 0.831555i
\(446\) −12.8726 + 22.2960i −0.609534 + 1.05574i
\(447\) 1.11420 1.51367i 0.0526998 0.0715943i
\(448\) 0.436788 + 2.60945i 0.0206363 + 0.123285i
\(449\) 37.6371i 1.77620i 0.459646 + 0.888102i \(0.347976\pi\)
−0.459646 + 0.888102i \(0.652024\pi\)
\(450\) −1.81221 + 8.03304i −0.0854282 + 0.378681i
\(451\) 3.42367 1.97666i 0.161214 0.0930771i
\(452\) 14.5073 8.37579i 0.682365 0.393964i
\(453\) −27.3415 + 11.9700i −1.28461 + 0.562399i
\(454\) 7.62078i 0.357661i
\(455\) 6.71937 17.9741i 0.315009 0.842641i
\(456\) 0.0364076 + 0.0267992i 0.00170494 + 0.00125499i
\(457\) 1.93541 3.35223i 0.0905348 0.156811i −0.817202 0.576352i \(-0.804476\pi\)
0.907736 + 0.419541i \(0.137809\pi\)
\(458\) 3.21274 + 5.56463i 0.150121 + 0.260018i
\(459\) −12.3265 + 2.38058i −0.575350 + 0.111116i
\(460\) 1.30049 + 0.750837i 0.0606356 + 0.0350080i
\(461\) −19.0584 −0.887640 −0.443820 0.896116i \(-0.646377\pi\)
−0.443820 + 0.896116i \(0.646377\pi\)
\(462\) −14.0874 + 0.774316i −0.655407 + 0.0360244i
\(463\) 16.7280 0.777414 0.388707 0.921361i \(-0.372922\pi\)
0.388707 + 0.921361i \(0.372922\pi\)
\(464\) 3.25583 + 1.87975i 0.151148 + 0.0872653i
\(465\) −15.1826 1.69130i −0.704078 0.0784324i
\(466\) 10.5644 + 18.2981i 0.489387 + 0.847643i
\(467\) 1.86844 3.23624i 0.0864612 0.149755i −0.819552 0.573005i \(-0.805777\pi\)
0.906013 + 0.423250i \(0.139111\pi\)
\(468\) −13.8349 + 4.30569i −0.639517 + 0.199031i
\(469\) 8.85460 7.29981i 0.408867 0.337074i
\(470\) 4.59183i 0.211805i
\(471\) −7.34724 16.7823i −0.338543 0.773289i
\(472\) −6.44250 + 3.71958i −0.296540 + 0.171207i
\(473\) 7.72396 4.45943i 0.355148 0.205045i
\(474\) 3.29120 + 7.51766i 0.151170 + 0.345298i
\(475\) 0.0716452i 0.00328731i
\(476\) 5.98759 + 2.23837i 0.274441 + 0.102596i
\(477\) 32.2452 10.0354i 1.47641 0.459488i
\(478\) −1.52240 + 2.63688i −0.0696332 + 0.120608i
\(479\) −13.7953 23.8941i −0.630322 1.09175i −0.987486 0.157708i \(-0.949589\pi\)
0.357163 0.934042i \(-0.383744\pi\)
\(480\) 2.58499 + 0.287961i 0.117988 + 0.0131435i
\(481\) 44.3894 + 25.6282i 2.02398 + 1.16855i
\(482\) −20.7684 −0.945976
\(483\) 4.08840 + 2.07003i 0.186028 + 0.0941895i
\(484\) −1.52117 −0.0691443
\(485\) −12.4283 7.17546i −0.564338 0.325821i
\(486\) −13.7358 + 7.37067i −0.623070 + 0.334340i
\(487\) 5.25709 + 9.10554i 0.238221 + 0.412611i 0.960204 0.279300i \(-0.0901023\pi\)
−0.721983 + 0.691911i \(0.756769\pi\)
\(488\) −2.28243 + 3.95328i −0.103321 + 0.178956i
\(489\) 3.16769 + 2.33170i 0.143248 + 0.105443i
\(490\) −6.89562 + 7.93390i −0.311512 + 0.358417i
\(491\) 4.88347i 0.220388i −0.993910 0.110194i \(-0.964853\pi\)
0.993910 0.110194i \(-0.0351472\pi\)
\(492\) −2.03736 + 0.891947i −0.0918512 + 0.0402121i
\(493\) 7.86629 4.54160i 0.354280 0.204543i
\(494\) 0.109171 0.0630300i 0.00491185 0.00283586i
\(495\) −3.05227 + 13.5299i −0.137189 + 0.608125i
\(496\) 5.87339i 0.263723i
\(497\) −2.71698 + 0.454788i −0.121873 + 0.0204000i
\(498\) −13.6133 + 18.4941i −0.610028 + 0.828742i
\(499\) −1.16452 + 2.01701i −0.0521310 + 0.0902936i −0.890913 0.454173i \(-0.849935\pi\)
0.838782 + 0.544467i \(0.183268\pi\)
\(500\) −5.81521 10.0722i −0.260064 0.450445i
\(501\) −1.36100 + 12.2176i −0.0608051 + 0.545840i
\(502\) 5.12011 + 2.95610i 0.228522 + 0.131937i
\(503\) 22.7572 1.01469 0.507346 0.861742i \(-0.330627\pi\)
0.507346 + 0.861742i \(0.330627\pi\)
\(504\) 7.92480 + 0.444493i 0.352999 + 0.0197993i
\(505\) −8.48710 −0.377671
\(506\) −2.66629 1.53939i −0.118531 0.0684340i
\(507\) −1.98029 + 17.7768i −0.0879476 + 0.789495i
\(508\) 2.08661 + 3.61412i 0.0925785 + 0.160351i
\(509\) −0.500517 + 0.866921i −0.0221850 + 0.0384256i −0.876905 0.480664i \(-0.840396\pi\)
0.854720 + 0.519090i \(0.173729\pi\)
\(510\) 3.72527 5.06089i 0.164958 0.224100i
\(511\) 12.6302 + 15.3203i 0.558726 + 0.677729i
\(512\) 1.00000i 0.0441942i
\(513\) 0.102463 0.0888525i 0.00452384 0.00392293i
\(514\) −0.785311 + 0.453399i −0.0346386 + 0.0199986i
\(515\) −16.6048 + 9.58676i −0.731693 + 0.422443i
\(516\) −4.59638 + 2.01228i −0.202344 + 0.0885855i
\(517\) 9.41429i 0.414040i
\(518\) −17.8608 21.6650i −0.784760 0.951906i
\(519\) 16.0014 + 11.7785i 0.702384 + 0.517017i
\(520\) 3.62639 6.28109i 0.159028 0.275444i
\(521\) 8.70230 + 15.0728i 0.381255 + 0.660353i 0.991242 0.132059i \(-0.0421587\pi\)
−0.609987 + 0.792411i \(0.708825\pi\)
\(522\) 7.65048 8.28704i 0.334853 0.362714i
\(523\) 23.8522 + 13.7710i 1.04298 + 0.602166i 0.920676 0.390327i \(-0.127638\pi\)
0.122305 + 0.992493i \(0.460971\pi\)
\(524\) 9.29225 0.405934
\(525\) −6.87792 10.5322i −0.300177 0.459662i
\(526\) −29.0320 −1.26585
\(527\) −12.2893 7.09524i −0.535331 0.309074i
\(528\) −5.29980 0.590384i −0.230644 0.0256932i
\(529\) 0.500000 + 0.866025i 0.0217391 + 0.0376533i
\(530\) −8.45211 + 14.6395i −0.367136 + 0.635898i
\(531\) 6.63190 + 21.3093i 0.287800 + 0.924746i
\(532\) −0.0681079 + 0.0114004i −0.00295285 + 0.000494269i
\(533\) 6.20172i 0.268626i
\(534\) −9.36957 21.4017i −0.405461 0.926142i
\(535\) 5.51907 3.18643i 0.238610 0.137762i
\(536\) 3.75630 2.16870i 0.162247 0.0936735i
\(537\) −10.6587 24.3462i −0.459955 1.05061i
\(538\) 28.5981i 1.23295i
\(539\) 14.1376 16.2663i 0.608948 0.700638i
\(540\) 2.54929 7.37474i 0.109704 0.317358i
\(541\) 0.142989 0.247665i 0.00614759 0.0106479i −0.862935 0.505315i \(-0.831376\pi\)
0.869083 + 0.494667i \(0.164710\pi\)
\(542\) −8.16593 14.1438i −0.350757 0.607529i
\(543\) −27.4355 3.05623i −1.17737 0.131156i
\(544\) 2.09237 + 1.20803i 0.0897097 + 0.0517939i
\(545\) 25.0010 1.07092
\(546\) 9.99781 19.7461i 0.427867 0.845056i
\(547\) 15.1321 0.647000 0.323500 0.946228i \(-0.395140\pi\)
0.323500 + 0.946228i \(0.395140\pi\)
\(548\) −9.67776 5.58745i −0.413413 0.238684i
\(549\) 10.0623 + 9.28934i 0.429447 + 0.396459i
\(550\) 4.22557 + 7.31890i 0.180179 + 0.312079i
\(551\) −0.0490625 + 0.0849787i −0.00209013 + 0.00362022i
\(552\) 1.39490 + 1.02677i 0.0593708 + 0.0437022i
\(553\) −11.7420 4.38958i −0.499322 0.186664i
\(554\) 14.5919i 0.619948i
\(555\) −25.2859 + 11.0701i −1.07333 + 0.469899i
\(556\) 14.1891 8.19210i 0.601754 0.347423i
\(557\) −11.3641 + 6.56106i −0.481512 + 0.278001i −0.721046 0.692887i \(-0.756339\pi\)
0.239535 + 0.970888i \(0.423005\pi\)
\(558\) −17.1882 3.87756i −0.727636 0.164150i
\(559\) 13.9914i 0.591773i
\(560\) −3.06560 + 2.52731i −0.129545 + 0.106798i
\(561\) −7.63763 + 10.3760i −0.322461 + 0.438073i
\(562\) 4.01708 6.95778i 0.169450 0.293496i
\(563\) 22.3405 + 38.6949i 0.941541 + 1.63080i 0.762532 + 0.646950i \(0.223956\pi\)
0.179009 + 0.983847i \(0.442711\pi\)
\(564\) 0.586364 5.26372i 0.0246904 0.221643i
\(565\) 21.7852 + 12.5777i 0.916511 + 0.529148i
\(566\) 1.52609 0.0641464
\(567\) 6.53267 22.8981i 0.274346 0.961631i
\(568\) −1.04121 −0.0436882
\(569\) 5.55223 + 3.20558i 0.232762 + 0.134385i 0.611845 0.790977i \(-0.290427\pi\)
−0.379084 + 0.925362i \(0.623761\pi\)
\(570\) −0.00751591 + 0.0674695i −0.000314807 + 0.00282598i
\(571\) 9.50704 + 16.4667i 0.397857 + 0.689109i 0.993461 0.114169i \(-0.0364206\pi\)
−0.595604 + 0.803278i \(0.703087\pi\)
\(572\) −7.43492 + 12.8777i −0.310869 + 0.538442i
\(573\) 0.987548 1.34161i 0.0412554 0.0560468i
\(574\) 1.18962 3.18220i 0.0496537 0.132822i
\(575\) 2.74497i 0.114473i
\(576\) 2.92646 + 0.660191i 0.121936 + 0.0275080i
\(577\) −22.8071 + 13.1677i −0.949472 + 0.548178i −0.892917 0.450222i \(-0.851345\pi\)
−0.0565550 + 0.998399i \(0.518012\pi\)
\(578\) −9.66713 + 5.58132i −0.402100 + 0.232152i
\(579\) −5.48554 + 2.40155i −0.227971 + 0.0998050i
\(580\) 5.64555i 0.234419i
\(581\) −5.79111 34.5971i −0.240256 1.43533i
\(582\) −13.3305 9.81244i −0.552567 0.406739i
\(583\) 17.3287 30.0142i 0.717682 1.24306i
\(584\) 3.75229 + 6.49916i 0.155271 + 0.268937i
\(585\) −15.9872 14.7592i −0.660991 0.610218i
\(586\) −18.5011 10.6816i −0.764275 0.441254i
\(587\) −16.7095 −0.689675 −0.344838 0.938662i \(-0.612066\pi\)
−0.344838 + 0.938662i \(0.612066\pi\)
\(588\) −8.91774 + 8.21425i −0.367761 + 0.338750i
\(589\) 0.153298 0.00631655
\(590\) −9.67453 5.58559i −0.398294 0.229955i
\(591\) −21.1158 2.35224i −0.868588 0.0967584i
\(592\) −5.30627 9.19073i −0.218086 0.377737i
\(593\) −19.7393 + 34.1895i −0.810596 + 1.40399i 0.101852 + 0.994800i \(0.467523\pi\)
−0.912448 + 0.409193i \(0.865810\pi\)
\(594\) −5.22662 + 15.1199i −0.214451 + 0.620376i
\(595\) 1.58473 + 9.46744i 0.0649675 + 0.388127i
\(596\) 1.08515i 0.0444494i
\(597\) 16.8910 + 38.5819i 0.691303 + 1.57905i
\(598\) 4.18273 2.41490i 0.171044 0.0987525i
\(599\) 35.6684 20.5931i 1.45737 0.841413i 0.458488 0.888700i \(-0.348391\pi\)
0.998881 + 0.0472876i \(0.0150577\pi\)
\(600\) −1.90675 4.35534i −0.0778427 0.177806i
\(601\) 35.7074i 1.45654i 0.685292 + 0.728269i \(0.259675\pi\)
−0.685292 + 0.728269i \(0.740325\pi\)
\(602\) 2.68384 7.17920i 0.109385 0.292602i
\(603\) −3.86673 12.4244i −0.157465 0.505960i
\(604\) 8.61605 14.9234i 0.350582 0.607226i
\(605\) −1.14215 1.97827i −0.0464352 0.0804281i
\(606\) −9.72895 1.08378i −0.395212 0.0440255i
\(607\) −29.6896 17.1413i −1.20507 0.695745i −0.243388 0.969929i \(-0.578259\pi\)
−0.961677 + 0.274184i \(0.911592\pi\)
\(608\) −0.0261005 −0.00105851
\(609\) 0.945522 + 17.2023i 0.0383145 + 0.697071i
\(610\) −6.85492 −0.277548
\(611\) −12.7900 7.38429i −0.517427 0.298736i
\(612\) 4.91662 5.32570i 0.198742 0.215279i
\(613\) −12.7418 22.0694i −0.514636 0.891376i −0.999856 0.0169837i \(-0.994594\pi\)
0.485220 0.874392i \(-0.338740\pi\)
\(614\) 9.46438 16.3928i 0.381951 0.661559i
\(615\) −2.68969 1.97985i −0.108459 0.0798354i
\(616\) 6.28517 5.18155i 0.253237 0.208771i
\(617\) 22.0558i 0.887932i 0.896044 + 0.443966i \(0.146429\pi\)
−0.896044 + 0.443966i \(0.853571\pi\)
\(618\) −20.2586 + 8.86914i −0.814921 + 0.356769i
\(619\) 23.6169 13.6352i 0.949244 0.548046i 0.0563982 0.998408i \(-0.482038\pi\)
0.892846 + 0.450362i \(0.148705\pi\)
\(620\) 7.63828 4.40996i 0.306761 0.177108i
\(621\) 3.92570 3.40425i 0.157533 0.136608i
\(622\) 2.21642i 0.0888702i
\(623\) 33.4278 + 12.4965i 1.33926 + 0.500662i
\(624\) 4.95909 6.73708i 0.198522 0.269699i
\(625\) 1.87013 3.23916i 0.0748051 0.129566i
\(626\) −2.96585 5.13701i −0.118539 0.205316i
\(627\) 0.0154093 0.138328i 0.000615389 0.00552427i
\(628\) 9.16009 + 5.28858i 0.365527 + 0.211037i
\(629\) −25.6406 −1.02236
\(630\) 5.37218 + 10.6398i 0.214033 + 0.423902i
\(631\) 27.3740 1.08974 0.544871 0.838520i \(-0.316579\pi\)
0.544871 + 0.838520i \(0.316579\pi\)
\(632\) −4.10327 2.36902i −0.163219 0.0942347i
\(633\) −4.69594 + 42.1549i −0.186647 + 1.67551i
\(634\) 13.9123 + 24.0968i 0.552527 + 0.957005i
\(635\) −3.13341 + 5.42723i −0.124346 + 0.215373i
\(636\) −11.5583 + 15.7022i −0.458315 + 0.622635i
\(637\) 11.0098 + 31.9657i 0.436223 + 1.26653i
\(638\) 11.5747i 0.458245i
\(639\) −0.687397 + 3.04705i −0.0271930 + 0.120540i
\(640\) −1.30049 + 0.750837i −0.0514063 + 0.0296795i
\(641\) 14.5096 8.37714i 0.573096 0.330877i −0.185289 0.982684i \(-0.559322\pi\)
0.758385 + 0.651807i \(0.225989\pi\)
\(642\) 6.73353 2.94791i 0.265751 0.116345i
\(643\) 5.70826i 0.225112i 0.993645 + 0.112556i \(0.0359038\pi\)
−0.993645 + 0.112556i \(0.964096\pi\)
\(644\) −2.60945 + 0.436788i −0.102827 + 0.0172119i
\(645\) −6.06807 4.46664i −0.238930 0.175874i
\(646\) −0.0315302 + 0.0546120i −0.00124054 + 0.00214868i
\(647\) −11.3024 19.5763i −0.444344 0.769626i 0.553663 0.832741i \(-0.313230\pi\)
−0.998006 + 0.0631154i \(0.979896\pi\)
\(648\) 3.86404 8.12830i 0.151794 0.319310i
\(649\) 19.8350 + 11.4517i 0.778591 + 0.449519i
\(650\) −13.2577 −0.520008
\(651\) 22.5356 14.7166i 0.883239 0.576790i
\(652\) −2.27091 −0.0889357
\(653\) −20.3703 11.7608i −0.797152 0.460236i 0.0453224 0.998972i \(-0.485568\pi\)
−0.842474 + 0.538737i \(0.818902\pi\)
\(654\) 28.6592 + 3.19255i 1.12066 + 0.124839i
\(655\) 6.97697 + 12.0845i 0.272613 + 0.472179i
\(656\) 0.642028 1.11202i 0.0250670 0.0434173i
\(657\) 21.4968 6.69023i 0.838668 0.261011i
\(658\) 5.14627 + 6.24237i 0.200622 + 0.243353i
\(659\) 17.1234i 0.667035i −0.942744 0.333517i \(-0.891764\pi\)
0.942744 0.333517i \(-0.108236\pi\)
\(660\) −3.21150 7.33562i −0.125008 0.285538i
\(661\) 2.75291 1.58939i 0.107076 0.0618202i −0.445506 0.895279i \(-0.646976\pi\)
0.552581 + 0.833459i \(0.313643\pi\)
\(662\) 17.4805 10.0924i 0.679399 0.392251i
\(663\) −8.10573 18.5149i −0.314801 0.719058i
\(664\) 13.2584i 0.514526i
\(665\) −0.0659640 0.0800137i −0.00255797 0.00310280i
\(666\) −30.3994 + 9.46094i −1.17795 + 0.366604i
\(667\) −1.87975 + 3.25583i −0.0727843 + 0.126066i
\(668\) −3.54872 6.14656i −0.137304 0.237818i
\(669\) −44.3178 4.93688i −1.71342 0.190871i
\(670\) 5.64073 + 3.25668i 0.217921 + 0.125817i
\(671\) 14.0541 0.542554
\(672\) −3.83689 + 2.50564i −0.148011 + 0.0966572i
\(673\) 43.2475 1.66707 0.833534 0.552468i \(-0.186314\pi\)
0.833534 + 0.552468i \(0.186314\pi\)
\(674\) 29.8324 + 17.2238i 1.14910 + 0.663434i
\(675\) −14.0045 + 2.70466i −0.539034 + 0.104103i
\(676\) −5.16346 8.94338i −0.198595 0.343976i
\(677\) 15.1682 26.2721i 0.582961 1.00972i −0.412166 0.911109i \(-0.635228\pi\)
0.995126 0.0986085i \(-0.0314392\pi\)
\(678\) 23.3668 + 17.2000i 0.897395 + 0.660563i
\(679\) 24.9375 4.17421i 0.957012 0.160192i
\(680\) 3.62814i 0.139133i
\(681\) −12.0916 + 5.29364i −0.463350 + 0.202853i
\(682\) −15.6602 + 9.04141i −0.599659 + 0.346214i
\(683\) 25.9506 14.9826i 0.992972 0.573293i 0.0868107 0.996225i \(-0.472332\pi\)
0.906161 + 0.422932i \(0.138999\pi\)
\(684\) −0.0172313 + 0.0763820i −0.000658856 + 0.00292054i
\(685\) 16.7811i 0.641172i
\(686\) 0.482396 18.5140i 0.0184180 0.706867i
\(687\) −6.59749 + 8.96289i −0.251710 + 0.341956i
\(688\) 1.44845 2.50878i 0.0552215 0.0956464i
\(689\) 27.1843 + 47.0846i 1.03564 + 1.79378i
\(690\) −0.287961 + 2.58499i −0.0109625 + 0.0984088i
\(691\) 3.94753 + 2.27911i 0.150171 + 0.0867014i 0.573203 0.819414i \(-0.305701\pi\)
−0.423032 + 0.906115i \(0.639034\pi\)
\(692\) −11.4714 −0.436076
\(693\) −11.0142 21.8141i −0.418394 0.828648i
\(694\) −19.1429 −0.726656
\(695\) 21.3075 + 12.3019i 0.808238 + 0.466637i
\(696\) −0.720921 + 6.47162i −0.0273265 + 0.245306i
\(697\) −1.55118 2.68672i −0.0587551 0.101767i
\(698\) −10.5507 + 18.2744i −0.399351 + 0.691696i
\(699\) −21.6945 + 29.4726i −0.820559 + 1.11476i
\(700\) 6.80271 + 2.54309i 0.257118 + 0.0961198i
\(701\) 16.6012i 0.627017i −0.949585 0.313508i \(-0.898496\pi\)
0.949585 0.313508i \(-0.101504\pi\)
\(702\) −16.4418 18.9603i −0.620556 0.715611i
\(703\) 0.239883 0.138496i 0.00904735 0.00522349i
\(704\) 2.66629 1.53939i 0.100490 0.0580178i
\(705\) 7.28567 3.18964i 0.274394 0.120129i
\(706\) 18.2678i 0.687518i
\(707\) 11.5378 9.51187i 0.433924 0.357731i
\(708\) −10.3769 7.63830i −0.389987 0.287065i
\(709\) 23.8810 41.3630i 0.896868 1.55342i 0.0653929 0.997860i \(-0.479170\pi\)
0.831475 0.555562i \(-0.187497\pi\)
\(710\) −0.781779 1.35408i −0.0293396 0.0508177i
\(711\) −9.64178 + 10.4440i −0.361595 + 0.391682i
\(712\) 11.6814 + 6.74426i 0.437779 + 0.252752i
\(713\) 5.87339 0.219960
\(714\) 0.607644 + 11.0551i 0.0227405 + 0.413727i
\(715\) −22.3296 −0.835081
\(716\) 13.2886 + 7.67215i 0.496616 + 0.286722i
\(717\) −5.24134 0.583871i −0.195742 0.0218051i
\(718\) 12.0760 + 20.9162i 0.450672 + 0.780586i
\(719\) 9.60627 16.6385i 0.358253 0.620513i −0.629416 0.777069i \(-0.716706\pi\)
0.987669 + 0.156556i \(0.0500390\pi\)
\(720\) 1.33872 + 4.30152i 0.0498912 + 0.160308i
\(721\) 11.8291 31.6424i 0.440537 1.17843i
\(722\) 18.9993i 0.707081i
\(723\) −14.4264 32.9524i −0.536525 1.22551i
\(724\) 13.8026 7.96892i 0.512969 0.296163i
\(725\) 8.93716 5.15987i 0.331918 0.191633i
\(726\) −1.05666 2.41358i −0.0392162 0.0895765i
\(727\) 35.8705i 1.33036i 0.746682 + 0.665181i \(0.231646\pi\)
−0.746682 + 0.665181i \(0.768354\pi\)
\(728\) 2.10960 + 12.6031i 0.0781869 + 0.467102i
\(729\) −21.2361 16.6742i −0.786522 0.617562i
\(730\) −5.63472 + 9.75963i −0.208551 + 0.361220i
\(731\) −3.49954 6.06137i −0.129435 0.224188i
\(732\) −7.85795 0.875354i −0.290438 0.0323540i
\(733\) 7.73979 + 4.46857i 0.285876 + 0.165050i 0.636080 0.771623i \(-0.280555\pi\)
−0.350205 + 0.936673i \(0.613888\pi\)
\(734\) 0.478167 0.0176495
\(735\) −17.3783 5.42985i −0.641009 0.200283i
\(736\) −1.00000 −0.0368605
\(737\) −11.5648 6.67693i −0.425994 0.245948i
\(738\) −2.83043 2.61301i −0.104190 0.0961864i
\(739\) −27.1059 46.9488i −0.997106 1.72704i −0.564394 0.825506i \(-0.690890\pi\)
−0.432712 0.901532i \(-0.642443\pi\)
\(740\) 7.96830 13.8015i 0.292920 0.507353i
\(741\) 0.175841 + 0.129435i 0.00645968 + 0.00475490i
\(742\) −4.91688 29.3743i −0.180504 1.07836i
\(743\) 19.6002i 0.719060i 0.933134 + 0.359530i \(0.117063\pi\)
−0.933134 + 0.359530i \(0.882937\pi\)
\(744\) 9.31907 4.07985i 0.341654 0.149575i
\(745\) −1.41122 + 0.814770i −0.0517032 + 0.0298509i
\(746\) −1.74035 + 1.00479i −0.0637186 + 0.0367880i
\(747\) −38.8001 8.75308i −1.41962 0.320258i
\(748\) 7.43850i 0.271979i
\(749\) −3.93173 + 10.5173i −0.143662 + 0.384293i
\(750\) 11.9418 16.2233i 0.436052 0.592390i
\(751\) 12.4601 21.5814i 0.454674 0.787518i −0.543996 0.839088i \(-0.683089\pi\)
0.998669 + 0.0515700i \(0.0164225\pi\)
\(752\) 1.52890 + 2.64814i 0.0557534 + 0.0965677i
\(753\) −1.13372 + 10.1773i −0.0413150 + 0.370880i
\(754\) 15.7250 + 9.07882i 0.572670 + 0.330631i
\(755\) 25.8770 0.941761
\(756\) 4.79957 + 12.8827i 0.174559 + 0.468540i
\(757\) −40.1278 −1.45847 −0.729235 0.684263i \(-0.760124\pi\)
−0.729235 + 0.684263i \(0.760124\pi\)
\(758\) 17.2566 + 9.96310i 0.626788 + 0.361876i
\(759\) 0.590384 5.29980i 0.0214296 0.192371i
\(760\) −0.0195972 0.0339434i −0.000710866 0.00123126i
\(761\) −22.1654 + 38.3916i −0.803494 + 1.39169i 0.113809 + 0.993503i \(0.463695\pi\)
−0.917303 + 0.398190i \(0.869638\pi\)
\(762\) −4.28494 + 5.82123i −0.155227 + 0.210881i
\(763\) −33.9876 + 28.0197i −1.23043 + 1.01438i
\(764\) 0.961801i 0.0347967i
\(765\) 10.6176 + 2.39527i 0.383880 + 0.0866010i
\(766\) 17.3567 10.0209i 0.627123 0.362069i
\(767\) −31.1159 + 17.9648i −1.12353 + 0.648671i
\(768\) −1.58666 + 0.694633i −0.0572536 + 0.0250654i
\(769\) 35.6919i 1.28708i 0.765411 + 0.643542i \(0.222536\pi\)
−0.765411 + 0.643542i \(0.777464\pi\)
\(770\) 11.4577 + 4.28329i