Properties

Label 189.2.ba.a.5.14
Level $189$
Weight $2$
Character 189.5
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [189,2,Mod(5,189)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(189, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([5, 15]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.ba (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: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 5.14
Character \(\chi\) \(=\) 189.5
Dual form 189.2.ba.a.38.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.491776 - 0.0867134i) q^{2} +(-1.45806 + 0.934910i) q^{3} +(-1.64506 + 0.598753i) q^{4} +(9.76251e-5 - 0.000553660i) q^{5} +(-0.635971 + 0.586200i) q^{6} +(-2.32328 - 1.26584i) q^{7} +(-1.62200 + 0.936464i) q^{8} +(1.25189 - 2.72631i) q^{9} +O(q^{10})\) \(q+(0.491776 - 0.0867134i) q^{2} +(-1.45806 + 0.934910i) q^{3} +(-1.64506 + 0.598753i) q^{4} +(9.76251e-5 - 0.000553660i) q^{5} +(-0.635971 + 0.586200i) q^{6} +(-2.32328 - 1.26584i) q^{7} +(-1.62200 + 0.936464i) q^{8} +(1.25189 - 2.72631i) q^{9} -0.000280742i q^{10} +(-4.66356 + 0.822312i) q^{11} +(1.83882 - 2.41100i) q^{12} +(-1.77003 + 2.10944i) q^{13} +(-1.25230 - 0.421052i) q^{14} +(0.000375278 + 0.000898541i) q^{15} +(1.96567 - 1.64940i) q^{16} -0.800172 q^{17} +(0.379240 - 1.44929i) q^{18} +5.20473i q^{19} +(0.000170906 + 0.000969257i) q^{20} +(4.57094 - 0.326381i) q^{21} +(-2.22212 + 0.808787i) q^{22} +(1.01988 - 1.21545i) q^{23} +(1.48947 - 2.88185i) q^{24} +(4.69846 + 1.71010i) q^{25} +(-0.687542 + 1.19086i) q^{26} +(0.723528 + 5.14553i) q^{27} +(4.57987 + 0.691318i) q^{28} +(-5.40692 - 6.44372i) q^{29} +(0.000262469 + 0.000409339i) q^{30} +(2.76219 + 7.58906i) q^{31} +(3.23144 - 3.85108i) q^{32} +(6.03097 - 5.55899i) q^{33} +(-0.393506 + 0.0693856i) q^{34} +(-0.000927658 + 0.00116273i) q^{35} +(-0.427042 + 5.23452i) q^{36} +(-1.02790 - 1.78038i) q^{37} +(0.451320 + 2.55956i) q^{38} +(0.608677 - 4.73051i) q^{39} +(0.000360134 + 0.000989460i) q^{40} +(5.20305 + 4.36588i) q^{41} +(2.21958 - 0.556868i) q^{42} +(-6.39715 - 2.32837i) q^{43} +(7.17948 - 4.14508i) q^{44} +(-0.00138723 - 0.000959276i) q^{45} +(0.396159 - 0.686167i) q^{46} +(-6.96860 - 2.53636i) q^{47} +(-1.32404 + 4.24265i) q^{48} +(3.79528 + 5.88182i) q^{49} +(2.45888 + 0.433567i) q^{50} +(1.16670 - 0.748089i) q^{51} +(1.64877 - 4.52997i) q^{52} +(-9.11266 + 5.26120i) q^{53} +(0.802000 + 2.46771i) q^{54} +0.00266231i q^{55} +(4.95379 - 0.122467i) q^{56} +(-4.86596 - 7.58882i) q^{57} +(-3.21775 - 2.70001i) q^{58} +(-10.1204 - 8.49198i) q^{59} +(-0.00115536 - 0.00125345i) q^{60} +(1.24316 - 3.41555i) q^{61} +(2.01645 + 3.49260i) q^{62} +(-6.35957 + 4.74930i) q^{63} +(-1.31080 + 2.27037i) q^{64} +(0.000995113 + 0.00118593i) q^{65} +(2.48385 - 3.25675i) q^{66} +(0.369304 - 2.09442i) q^{67} +(1.31633 - 0.479105i) q^{68} +(-0.350717 + 2.72570i) q^{69} +(-0.000355376 + 0.000652243i) q^{70} +(7.56979 + 4.37042i) q^{71} +(0.522528 + 5.59443i) q^{72} +(6.22020 + 3.59123i) q^{73} +(-0.659882 - 0.786416i) q^{74} +(-8.44944 + 1.89921i) q^{75} +(-3.11635 - 8.56210i) q^{76} +(11.8757 + 3.99288i) q^{77} +(-0.110866 - 2.37913i) q^{78} +(0.447434 + 2.53753i) q^{79} +(-0.000721305 - 0.00124934i) q^{80} +(-5.86556 - 6.82607i) q^{81} +(2.93732 + 1.69586i) q^{82} +(-1.47761 + 1.23986i) q^{83} +(-7.32405 + 3.27378i) q^{84} +(-7.81169e-5 + 0.000443023i) q^{85} +(-3.34787 - 0.590319i) q^{86} +(13.9079 + 4.34035i) q^{87} +(6.79425 - 5.70105i) q^{88} -3.23581 q^{89} +(-0.000765391 - 0.000351457i) q^{90} +(6.78250 - 2.66024i) q^{91} +(-0.950016 + 2.61015i) q^{92} +(-11.1225 - 8.48291i) q^{93} +(-3.64693 - 0.643052i) q^{94} +(0.00288165 + 0.000508113i) q^{95} +(-1.11122 + 8.63621i) q^{96} +(-0.614218 + 1.68755i) q^{97} +(2.37646 + 2.56344i) q^{98} +(-3.59637 + 13.7438i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 18 q^{6} - 6 q^{7} - 18 q^{8} + 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 18 q^{6} - 6 q^{7} - 18 q^{8} + 3 q^{9} - 9 q^{11} - 9 q^{12} + 3 q^{14} - 24 q^{15} + 3 q^{16} - 18 q^{17} - 3 q^{18} + 18 q^{20} - 21 q^{21} - 12 q^{22} - 6 q^{23} - 9 q^{24} - 3 q^{25} - 12 q^{28} + 6 q^{29} + 51 q^{30} - 9 q^{31} + 3 q^{32} - 9 q^{33} - 18 q^{34} + 18 q^{35} + 3 q^{37} - 99 q^{38} - 36 q^{39} - 54 q^{40} - 45 q^{42} - 12 q^{43} - 9 q^{44} - 9 q^{45} + 3 q^{46} + 45 q^{47} - 24 q^{49} - 9 q^{50} - 48 q^{51} - 9 q^{52} - 45 q^{53} + 171 q^{54} + 3 q^{56} - 3 q^{58} + 36 q^{59} + 57 q^{60} - 9 q^{61} - 99 q^{62} - 33 q^{63} + 18 q^{64} + 69 q^{65} - 9 q^{66} - 3 q^{67} + 36 q^{68} + 108 q^{69} + 66 q^{70} + 18 q^{71} - 129 q^{72} - 9 q^{73} + 75 q^{74} + 36 q^{75} + 36 q^{76} + 15 q^{77} + 66 q^{78} - 21 q^{79} + 72 q^{80} - 33 q^{81} - 18 q^{82} - 90 q^{83} - 120 q^{84} + 9 q^{85} - 105 q^{86} - 54 q^{87} - 63 q^{88} - 18 q^{89} + 81 q^{90} + 6 q^{91} + 150 q^{92} + 21 q^{93} - 9 q^{94} + 45 q^{95} - 81 q^{96} + 27 q^{98} + 96 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.491776 0.0867134i 0.347738 0.0613156i 0.00294872 0.999996i \(-0.499061\pi\)
0.344790 + 0.938680i \(0.387950\pi\)
\(3\) −1.45806 + 0.934910i −0.841812 + 0.539770i
\(4\) −1.64506 + 0.598753i −0.822530 + 0.299377i
\(5\) 9.76251e−5 0 0.000553660i 4.36593e−5 0 0.000247604i −0.984786 0.173772i \(-0.944404\pi\)
0.984830 + 0.173524i \(0.0555155\pi\)
\(6\) −0.635971 + 0.586200i −0.259634 + 0.239315i
\(7\) −2.32328 1.26584i −0.878118 0.478444i
\(8\) −1.62200 + 0.936464i −0.573465 + 0.331090i
\(9\) 1.25189 2.72631i 0.417296 0.908771i
\(10\) 0 0.000280742i 0 8.87784e-5i
\(11\) −4.66356 + 0.822312i −1.40612 + 0.247936i −0.824654 0.565637i \(-0.808630\pi\)
−0.581463 + 0.813573i \(0.697519\pi\)
\(12\) 1.83882 2.41100i 0.530821 0.695996i
\(13\) −1.77003 + 2.10944i −0.490918 + 0.585053i −0.953451 0.301549i \(-0.902496\pi\)
0.462533 + 0.886602i \(0.346941\pi\)
\(14\) −1.25230 0.421052i −0.334691 0.112531i
\(15\) 0.000375278 0 0.000898541i 9.68965e−5 0 0.000232002i
\(16\) 1.96567 1.64940i 0.491418 0.412349i
\(17\) −0.800172 −0.194070 −0.0970351 0.995281i \(-0.530936\pi\)
−0.0970351 + 0.995281i \(0.530936\pi\)
\(18\) 0.379240 1.44929i 0.0893878 0.341601i
\(19\) 5.20473i 1.19405i 0.802224 + 0.597024i \(0.203650\pi\)
−0.802224 + 0.597024i \(0.796350\pi\)
\(20\) 0.000170906 0 0.000969257i 3.82158e−5 0 0.000216732i
\(21\) 4.57094 0.326381i 0.997460 0.0712221i
\(22\) −2.22212 + 0.808787i −0.473758 + 0.172434i
\(23\) 1.01988 1.21545i 0.212661 0.253439i −0.649160 0.760651i \(-0.724880\pi\)
0.861821 + 0.507213i \(0.169324\pi\)
\(24\) 1.48947 2.88185i 0.304037 0.588255i
\(25\) 4.69846 + 1.71010i 0.939693 + 0.342020i
\(26\) −0.687542 + 1.19086i −0.134838 + 0.233546i
\(27\) 0.723528 + 5.14553i 0.139243 + 0.990258i
\(28\) 4.57987 + 0.691318i 0.865514 + 0.130647i
\(29\) −5.40692 6.44372i −1.00404 1.19657i −0.980434 0.196847i \(-0.936930\pi\)
−0.0236057 0.999721i \(-0.507515\pi\)
\(30\) 0.000262469 0 0.000409339i 4.79200e−5 0 7.47348e-5i
\(31\) 2.76219 + 7.58906i 0.496104 + 1.36304i 0.895011 + 0.446044i \(0.147167\pi\)
−0.398907 + 0.916991i \(0.630610\pi\)
\(32\) 3.23144 3.85108i 0.571243 0.680780i
\(33\) 6.03097 5.55899i 1.04986 0.967696i
\(34\) −0.393506 + 0.0693856i −0.0674856 + 0.0118995i
\(35\) −0.000927658 0.00116273i −0.000156803 0.000196537i
\(36\) −0.427042 + 5.23452i −0.0711737 + 0.872420i
\(37\) −1.02790 1.78038i −0.168986 0.292693i 0.769077 0.639156i \(-0.220716\pi\)
−0.938064 + 0.346463i \(0.887383\pi\)
\(38\) 0.451320 + 2.55956i 0.0732138 + 0.415216i
\(39\) 0.608677 4.73051i 0.0974663 0.757488i
\(40\) 0.000360134 0 0.000989460i 5.69422e−5 0 0.000156447i
\(41\) 5.20305 + 4.36588i 0.812580 + 0.681836i 0.951222 0.308507i \(-0.0998292\pi\)
−0.138642 + 0.990343i \(0.544274\pi\)
\(42\) 2.21958 0.556868i 0.342488 0.0859266i
\(43\) −6.39715 2.32837i −0.975556 0.355073i −0.195445 0.980715i \(-0.562615\pi\)
−0.780111 + 0.625641i \(0.784837\pi\)
\(44\) 7.17948 4.14508i 1.08235 0.624894i
\(45\) −0.00138723 0.000959276i −0.000206797 0.000143000i
\(46\) 0.396159 0.686167i 0.0584104 0.101170i
\(47\) −6.96860 2.53636i −1.01647 0.369967i −0.220559 0.975374i \(-0.570788\pi\)
−0.795916 + 0.605407i \(0.793010\pi\)
\(48\) −1.32404 + 4.24265i −0.191108 + 0.612373i
\(49\) 3.79528 + 5.88182i 0.542183 + 0.840261i
\(50\) 2.45888 + 0.433567i 0.347738 + 0.0613156i
\(51\) 1.16670 0.748089i 0.163371 0.104753i
\(52\) 1.64877 4.52997i 0.228644 0.628194i
\(53\) −9.11266 + 5.26120i −1.25172 + 0.722681i −0.971451 0.237241i \(-0.923757\pi\)
−0.280269 + 0.959921i \(0.590424\pi\)
\(54\) 0.802000 + 2.46771i 0.109138 + 0.335813i
\(55\) 0.00266231i 0.000358985i
\(56\) 4.95379 0.122467i 0.661978 0.0163653i
\(57\) −4.86596 7.58882i −0.644512 1.00516i
\(58\) −3.21775 2.70001i −0.422511 0.354529i
\(59\) −10.1204 8.49198i −1.31756 1.10556i −0.986817 0.161840i \(-0.948257\pi\)
−0.330740 0.943722i \(-0.607298\pi\)
\(60\) −0.00115536 0.00125345i −0.000149156 0.000161820i
\(61\) 1.24316 3.41555i 0.159170 0.437317i −0.834314 0.551290i \(-0.814136\pi\)
0.993484 + 0.113974i \(0.0363579\pi\)
\(62\) 2.01645 + 3.49260i 0.256090 + 0.443560i
\(63\) −6.35957 + 4.74930i −0.801231 + 0.598355i
\(64\) −1.31080 + 2.27037i −0.163850 + 0.283797i
\(65\) 0.000995113 0.00118593i 0.000123429 0.000147096i
\(66\) 2.48385 3.25675i 0.305741 0.400878i
\(67\) 0.369304 2.09442i 0.0451176 0.255875i −0.953903 0.300114i \(-0.902975\pi\)
0.999021 + 0.0442393i \(0.0140864\pi\)
\(68\) 1.31633 0.479105i 0.159629 0.0581001i
\(69\) −0.350717 + 2.72570i −0.0422214 + 0.328136i
\(70\) −0.000355376 0 0.000652243i −4.24755e−5 0 7.79579e-5i
\(71\) 7.56979 + 4.37042i 0.898369 + 0.518673i 0.876671 0.481091i \(-0.159759\pi\)
0.0216981 + 0.999765i \(0.493093\pi\)
\(72\) 0.522528 + 5.59443i 0.0615806 + 0.659310i
\(73\) 6.22020 + 3.59123i 0.728019 + 0.420322i 0.817697 0.575649i \(-0.195250\pi\)
−0.0896781 + 0.995971i \(0.528584\pi\)
\(74\) −0.659882 0.786416i −0.0767097 0.0914191i
\(75\) −8.44944 + 1.89921i −0.975657 + 0.219302i
\(76\) −3.11635 8.56210i −0.357470 0.982140i
\(77\) 11.8757 + 3.99288i 1.35336 + 0.455031i
\(78\) −0.110866 2.37913i −0.0125531 0.269384i
\(79\) 0.447434 + 2.53753i 0.0503403 + 0.285494i 0.999577 0.0290673i \(-0.00925372\pi\)
−0.949237 + 0.314561i \(0.898143\pi\)
\(80\) −0.000721305 0.00124934i −8.06443e−5 0.000139680i
\(81\) −5.86556 6.82607i −0.651729 0.758452i
\(82\) 2.93732 + 1.69586i 0.324373 + 0.187277i
\(83\) −1.47761 + 1.23986i −0.162188 + 0.136092i −0.720270 0.693694i \(-0.755982\pi\)
0.558082 + 0.829786i \(0.311538\pi\)
\(84\) −7.32405 + 3.27378i −0.799119 + 0.357199i
\(85\) −7.81169e−5 0 0.000443023i −8.47297e−6 0 4.80526e-5i
\(86\) −3.34787 0.590319i −0.361010 0.0636558i
\(87\) 13.9079 + 4.34035i 1.49109 + 0.465335i
\(88\) 6.79425 5.70105i 0.724269 0.607734i
\(89\) −3.23581 −0.342995 −0.171498 0.985185i \(-0.554861\pi\)
−0.171498 + 0.985185i \(0.554861\pi\)
\(90\) −0.000765391 0 0.000351457i −8.06792e−5 0 3.70469e-5i
\(91\) 6.78250 2.66024i 0.710999 0.278869i
\(92\) −0.950016 + 2.61015i −0.0990461 + 0.272127i
\(93\) −11.1225 8.48291i −1.15335 0.879637i
\(94\) −3.64693 0.643052i −0.376152 0.0663257i
\(95\) 0.00288165 0.000508113i 0.000295651 5.21313e-5i
\(96\) −1.11122 + 8.63621i −0.113414 + 0.881429i
\(97\) −0.614218 + 1.68755i −0.0623644 + 0.171345i −0.966961 0.254923i \(-0.917950\pi\)
0.904597 + 0.426268i \(0.140172\pi\)
\(98\) 2.37646 + 2.56344i 0.240059 + 0.258947i
\(99\) −3.59637 + 13.7438i −0.361449 + 1.38130i
\(100\) −8.75318 −0.875318
\(101\) −3.26288 + 2.73788i −0.324668 + 0.272429i −0.790523 0.612432i \(-0.790191\pi\)
0.465855 + 0.884861i \(0.345747\pi\)
\(102\) 0.508886 0.469061i 0.0503872 0.0464439i
\(103\) −15.8365 2.79240i −1.56041 0.275143i −0.674245 0.738508i \(-0.735531\pi\)
−0.886168 + 0.463365i \(0.846642\pi\)
\(104\) 0.895580 5.07909i 0.0878189 0.498046i
\(105\) 0.000265535 0.00256261i 2.59135e−5 0.000250085i
\(106\) −4.02517 + 3.37752i −0.390959 + 0.328054i
\(107\) 3.48765 + 2.01360i 0.337164 + 0.194662i 0.659017 0.752128i \(-0.270972\pi\)
−0.321853 + 0.946790i \(0.604306\pi\)
\(108\) −4.27115 8.03150i −0.410992 0.772831i
\(109\) 0.587845 + 1.01818i 0.0563054 + 0.0975238i 0.892804 0.450445i \(-0.148735\pi\)
−0.836499 + 0.547969i \(0.815401\pi\)
\(110\) 0.000230858 0.00130926i 2.20114e−5 0.000124833i
\(111\) 3.16324 + 1.63491i 0.300242 + 0.155179i
\(112\) −6.65469 + 1.34378i −0.628809 + 0.126975i
\(113\) −5.04317 13.8560i −0.474422 1.30346i −0.914166 0.405340i \(-0.867153\pi\)
0.439745 0.898123i \(-0.355069\pi\)
\(114\) −3.05101 3.31006i −0.285754 0.310015i
\(115\) −0.000573380 0 0.000683327i −5.34679e−5 0 6.37206e-5i
\(116\) 12.7529 + 7.36290i 1.18408 + 0.683628i
\(117\) 3.53511 + 7.46644i 0.326821 + 0.690272i
\(118\) −5.71332 3.29858i −0.525953 0.303659i
\(119\) 1.85903 + 1.01289i 0.170417 + 0.0928517i
\(120\) −0.00145015 0.00110600i −0.000132380 0.000100964i
\(121\) 10.7360 3.90758i 0.976000 0.355235i
\(122\) 0.315182 1.78749i 0.0285352 0.161831i
\(123\) −11.6681 1.50134i −1.05208 0.135371i
\(124\) −9.08794 10.8306i −0.816121 0.972616i
\(125\) 0.00281100 0.00486880i 0.000251424 0.000435479i
\(126\) −2.71566 + 2.88705i −0.241930 + 0.257199i
\(127\) −3.46785 6.00649i −0.307722 0.532990i 0.670142 0.742233i \(-0.266233\pi\)
−0.977864 + 0.209243i \(0.932900\pi\)
\(128\) −3.88657 + 10.6783i −0.343528 + 0.943834i
\(129\) 11.5043 2.58585i 1.01289 0.227671i
\(130\) 0.000592209 0 0.000496922i 5.19401e−5 0 4.35829e-5i
\(131\) 8.46265 + 7.10101i 0.739385 + 0.620418i 0.932672 0.360724i \(-0.117470\pi\)
−0.193287 + 0.981142i \(0.561915\pi\)
\(132\) −6.59285 + 12.7559i −0.573834 + 1.11026i
\(133\) 6.58838 12.0921i 0.571285 1.04851i
\(134\) 1.06201i 0.0917438i
\(135\) 0.00291951 0.000101745i 0.000251271 8.75683e-6i
\(136\) 1.29788 0.749332i 0.111292 0.0642547i
\(137\) −3.43808 + 9.44606i −0.293735 + 0.807031i 0.701777 + 0.712397i \(0.252390\pi\)
−0.995512 + 0.0946343i \(0.969832\pi\)
\(138\) 0.0638805 + 1.37085i 0.00543787 + 0.116694i
\(139\) 0.409252 + 0.0721623i 0.0347123 + 0.00612072i 0.190977 0.981594i \(-0.438834\pi\)
−0.156265 + 0.987715i \(0.549945\pi\)
\(140\) 0.000829865 0.00246820i 7.01364e−5 0.000208601i
\(141\) 12.5319 2.81684i 1.05538 0.237221i
\(142\) 4.10162 + 1.49287i 0.344200 + 0.125279i
\(143\) 6.52003 11.2930i 0.545232 0.944370i
\(144\) −2.03597 7.42390i −0.169664 0.618658i
\(145\) −0.00409548 + 0.00236453i −0.000340111 + 0.000196363i
\(146\) 3.37035 + 1.22671i 0.278932 + 0.101523i
\(147\) −11.0327 5.02782i −0.909964 0.414688i
\(148\) 2.75697 + 2.31338i 0.226622 + 0.190158i
\(149\) 0.315032 + 0.865543i 0.0258084 + 0.0709081i 0.951928 0.306323i \(-0.0990986\pi\)
−0.926119 + 0.377231i \(0.876876\pi\)
\(150\) −3.99055 + 1.66666i −0.325827 + 0.136083i
\(151\) −0.209027 1.18545i −0.0170104 0.0964707i 0.975121 0.221675i \(-0.0711524\pi\)
−0.992131 + 0.125204i \(0.960041\pi\)
\(152\) −4.87404 8.44209i −0.395337 0.684744i
\(153\) −1.00172 + 2.18152i −0.0809847 + 0.176365i
\(154\) 6.18642 + 0.933822i 0.498516 + 0.0752495i
\(155\) 0.00447142 0.000788431i 0.000359153 6.33283e-5i
\(156\) 1.83110 + 8.14643i 0.146605 + 0.652236i
\(157\) −7.40718 + 8.82753i −0.591157 + 0.704514i −0.975828 0.218540i \(-0.929871\pi\)
0.384671 + 0.923054i \(0.374315\pi\)
\(158\) 0.440075 + 1.20910i 0.0350105 + 0.0961905i
\(159\) 8.36807 16.1907i 0.663631 1.28400i
\(160\) −0.00181672 0.00216508i −0.000143624 0.000171164i
\(161\) −3.90805 + 1.53282i −0.307997 + 0.120803i
\(162\) −3.47645 2.84828i −0.273136 0.223782i
\(163\) −3.42292 + 5.92867i −0.268104 + 0.464369i −0.968372 0.249510i \(-0.919730\pi\)
0.700268 + 0.713880i \(0.253064\pi\)
\(164\) −11.1734 4.06679i −0.872498 0.317563i
\(165\) −0.00248902 0.00388180i −0.000193770 0.000302198i
\(166\) −0.619139 + 0.737861i −0.0480545 + 0.0572691i
\(167\) 4.35768 1.58606i 0.337207 0.122733i −0.167866 0.985810i \(-0.553688\pi\)
0.505073 + 0.863076i \(0.331465\pi\)
\(168\) −7.10843 + 4.80991i −0.548427 + 0.371093i
\(169\) 0.940696 + 5.33495i 0.0723613 + 0.410381i
\(170\) 0 0.000224642i 0 1.72292e-5i
\(171\) 14.1897 + 6.51574i 1.08512 + 0.498271i
\(172\) 11.9178 0.908725
\(173\) 18.4317 15.4661i 1.40134 1.17586i 0.440838 0.897587i \(-0.354681\pi\)
0.960501 0.278276i \(-0.0897630\pi\)
\(174\) 7.21595 + 0.928479i 0.547040 + 0.0703878i
\(175\) −8.75113 9.92057i −0.661524 0.749924i
\(176\) −7.81072 + 9.30846i −0.588755 + 0.701651i
\(177\) 22.6953 + 2.92022i 1.70589 + 0.219497i
\(178\) −1.59129 + 0.280588i −0.119273 + 0.0210310i
\(179\) 24.6678i 1.84376i 0.387475 + 0.921880i \(0.373347\pi\)
−0.387475 + 0.921880i \(0.626653\pi\)
\(180\) 0.00285645 0.000747457i 0.000212907 5.57121e-5i
\(181\) 7.78429 4.49426i 0.578601 0.334056i −0.181976 0.983303i \(-0.558249\pi\)
0.760577 + 0.649247i \(0.224916\pi\)
\(182\) 3.10479 1.89638i 0.230143 0.140569i
\(183\) 1.38063 + 6.14233i 0.102059 + 0.454054i
\(184\) −0.516030 + 2.92655i −0.0380422 + 0.215748i
\(185\) −0.00108608 0.000395299i −7.98498e−5 2.90630e-5i
\(186\) −6.20538 3.20722i −0.455000 0.235165i
\(187\) 3.73165 0.657991i 0.272885 0.0481171i
\(188\) 12.9824 0.946841
\(189\) 4.83248 12.8704i 0.351511 0.936184i
\(190\) 0.00146119 0.000106006
\(191\) 20.5434 3.62235i 1.48647 0.262104i 0.629308 0.777156i \(-0.283338\pi\)
0.857159 + 0.515051i \(0.172227\pi\)
\(192\) −0.211366 4.53582i −0.0152541 0.327345i
\(193\) 17.1757 6.25143i 1.23633 0.449988i 0.360571 0.932732i \(-0.382582\pi\)
0.875762 + 0.482744i \(0.160360\pi\)
\(194\) −0.155725 + 0.883158i −0.0111804 + 0.0634070i
\(195\) −0.00255967 0.000798817i −0.000183302 5.72045e-5i
\(196\) −9.76522 7.40352i −0.697516 0.528823i
\(197\) −8.92564 + 5.15322i −0.635925 + 0.367152i −0.783043 0.621967i \(-0.786334\pi\)
0.147118 + 0.989119i \(0.453000\pi\)
\(198\) −0.576842 + 7.07071i −0.0409944 + 0.502494i
\(199\) 11.1728i 0.792020i 0.918246 + 0.396010i \(0.129605\pi\)
−0.918246 + 0.396010i \(0.870395\pi\)
\(200\) −9.22237 + 1.62615i −0.652120 + 0.114986i
\(201\) 1.41963 + 3.39907i 0.100133 + 0.239752i
\(202\) −1.36719 + 1.62936i −0.0961955 + 0.114641i
\(203\) 4.40506 + 21.8149i 0.309175 + 1.53111i
\(204\) −1.47137 + 1.92922i −0.103017 + 0.135072i
\(205\) 0.00292516 0.00245450i 0.000204302 0.000171430i
\(206\) −8.03013 −0.559486
\(207\) −2.03692 4.30213i −0.141576 0.299019i
\(208\) 7.06595i 0.489935i
\(209\) −4.27991 24.2726i −0.296048 1.67897i
\(210\) −9.16288e−5 0.00128325i −6.32299e−6 8.85530e-5i
\(211\) 22.3190 8.12346i 1.53651 0.559242i 0.571302 0.820740i \(-0.306439\pi\)
0.965204 + 0.261498i \(0.0842165\pi\)
\(212\) 11.8407 14.1112i 0.813224 0.969163i
\(213\) −15.1232 + 0.704729i −1.03622 + 0.0482873i
\(214\) 1.88975 + 0.687813i 0.129181 + 0.0470179i
\(215\) −0.00191365 + 0.00331454i −0.000130510 + 0.000226050i
\(216\) −5.99217 7.66851i −0.407716 0.521776i
\(217\) 3.18921 21.1280i 0.216498 1.43426i
\(218\) 0.377378 + 0.449742i 0.0255593 + 0.0304603i
\(219\) −12.4269 + 0.579086i −0.839733 + 0.0391310i
\(220\) −0.00159406 0.00437965i −0.000107472 0.000295276i
\(221\) 1.41633 1.68791i 0.0952726 0.113541i
\(222\) 1.69738 + 0.529714i 0.113920 + 0.0355521i
\(223\) −23.8004 + 4.19666i −1.59380 + 0.281029i −0.898924 0.438105i \(-0.855650\pi\)
−0.694871 + 0.719134i \(0.744539\pi\)
\(224\) −12.3824 + 4.85664i −0.827334 + 0.324498i
\(225\) 10.5442 10.6686i 0.702948 0.711242i
\(226\) −3.68161 6.37674i −0.244897 0.424174i
\(227\) 0.742956 + 4.21351i 0.0493117 + 0.279661i 0.999486 0.0320585i \(-0.0102063\pi\)
−0.950174 + 0.311719i \(0.899095\pi\)
\(228\) 12.5486 + 9.57056i 0.831053 + 0.633826i
\(229\) 4.43062 + 12.1730i 0.292784 + 0.804417i 0.995657 + 0.0931013i \(0.0296780\pi\)
−0.702873 + 0.711315i \(0.748100\pi\)
\(230\) −0.000341228 0 0.000286324i −2.24999e−5 0 1.88797e-5i
\(231\) −21.0485 + 5.28083i −1.38489 + 0.347453i
\(232\) 14.8044 + 5.38834i 0.971953 + 0.353762i
\(233\) −9.70366 + 5.60241i −0.635708 + 0.367026i −0.782959 0.622073i \(-0.786291\pi\)
0.147251 + 0.989099i \(0.452957\pi\)
\(234\) 2.38593 + 3.36527i 0.155973 + 0.219995i
\(235\) −0.00208459 + 0.00361062i −0.000135984 + 0.000235531i
\(236\) 21.7332 + 7.91023i 1.41471 + 0.514912i
\(237\) −3.02474 3.28156i −0.196478 0.213160i
\(238\) 1.00206 + 0.336914i 0.0649536 + 0.0218389i
\(239\) 12.3508 + 2.17779i 0.798909 + 0.140869i 0.558177 0.829722i \(-0.311501\pi\)
0.240733 + 0.970591i \(0.422612\pi\)
\(240\) 0.00221972 + 0.00114725i 0.000143283 + 7.40550e-5i
\(241\) −6.86595 + 18.8641i −0.442275 + 1.21514i 0.495717 + 0.868484i \(0.334905\pi\)
−0.937992 + 0.346656i \(0.887317\pi\)
\(242\) 4.94087 2.85261i 0.317611 0.183373i
\(243\) 14.9341 + 4.46906i 0.958023 + 0.286691i
\(244\) 6.36314i 0.407358i
\(245\) 0.00362704 0.00152708i 0.000231723 9.75615e-5i
\(246\) −5.86827 + 0.273457i −0.374147 + 0.0174350i
\(247\) −10.9791 9.21254i −0.698582 0.586180i
\(248\) −11.5872 9.72278i −0.735786 0.617397i
\(249\) 0.995284 3.18922i 0.0630736 0.202108i
\(250\) 0.000960194 0.00263811i 6.07280e−5 0.000166849i
\(251\) −11.2730 19.5255i −0.711547 1.23244i −0.964276 0.264899i \(-0.914661\pi\)
0.252729 0.967537i \(-0.418672\pi\)
\(252\) 7.61823 11.6207i 0.479903 0.732035i
\(253\) −3.75681 + 6.50699i −0.236189 + 0.409091i
\(254\) −2.22625 2.65314i −0.139687 0.166473i
\(255\) −0.000300287 0 0.000718987i −1.88047e−5 0 4.50247e-5i
\(256\) −0.0749017 + 0.424789i −0.00468135 + 0.0265493i
\(257\) −27.6153 + 10.0512i −1.72260 + 0.626974i −0.998060 0.0622616i \(-0.980169\pi\)
−0.724537 + 0.689236i \(0.757946\pi\)
\(258\) 5.43329 2.26923i 0.338262 0.141276i
\(259\) 0.134425 + 5.43750i 0.00835277 + 0.337870i
\(260\) −0.00234710 0.00135510i −0.000145561 8.40396e-5i
\(261\) −24.3364 + 6.67415i −1.50639 + 0.413119i
\(262\) 4.77748 + 2.75828i 0.295154 + 0.170407i
\(263\) −10.7751 12.8412i −0.664420 0.791825i 0.323593 0.946197i \(-0.395109\pi\)
−0.988013 + 0.154371i \(0.950665\pi\)
\(264\) −4.57646 + 14.6645i −0.281662 + 0.902537i
\(265\) 0.00202329 + 0.00555894i 0.000124290 + 0.000341483i
\(266\) 2.19146 6.51789i 0.134367 0.399637i
\(267\) 4.71801 3.02519i 0.288738 0.185139i
\(268\) 0.646517 + 3.66658i 0.0394923 + 0.223972i
\(269\) −4.71711 8.17027i −0.287607 0.498150i 0.685631 0.727949i \(-0.259526\pi\)
−0.973238 + 0.229799i \(0.926193\pi\)
\(270\) 0.00144457 0.000203125i 8.79136e−5 1.23618e-5i
\(271\) −3.40065 1.96337i −0.206575 0.119266i 0.393144 0.919477i \(-0.371388\pi\)
−0.599719 + 0.800211i \(0.704721\pi\)
\(272\) −1.57288 + 1.31980i −0.0953696 + 0.0800246i
\(273\) −7.40222 + 10.2198i −0.448003 + 0.618532i
\(274\) −0.871668 + 4.94347i −0.0526594 + 0.298646i
\(275\) −23.3178 4.11156i −1.40612 0.247936i
\(276\) −1.05507 4.69394i −0.0635078 0.282542i
\(277\) −17.5744 + 14.7467i −1.05595 + 0.886043i −0.993706 0.112018i \(-0.964269\pi\)
−0.0622389 + 0.998061i \(0.519824\pi\)
\(278\) 0.207518 0.0124461
\(279\) 24.1481 + 1.97005i 1.44571 + 0.117944i
\(280\) 0.000415809 0.00275467i 2.48494e−5 0.000164623i
\(281\) 0.608889 1.67291i 0.0363233 0.0997974i −0.920205 0.391436i \(-0.871978\pi\)
0.956528 + 0.291639i \(0.0942006\pi\)
\(282\) 5.91864 2.47194i 0.352450 0.147202i
\(283\) −4.38907 0.773911i −0.260903 0.0460042i 0.0416665 0.999132i \(-0.486733\pi\)
−0.302569 + 0.953127i \(0.597844\pi\)
\(284\) −15.0696 2.65717i −0.894214 0.157674i
\(285\) −0.00467666 + 0.00195322i −0.000277022 + 0.000115699i
\(286\) 2.22714 6.11901i 0.131693 0.361825i
\(287\) −6.56164 16.7294i −0.387321 0.987507i
\(288\) −6.45384 13.6310i −0.380296 0.803215i
\(289\) −16.3597 −0.962337
\(290\) −0.00180902 + 0.00151795i −0.000106229 + 8.91371e-5i
\(291\) −0.682140 3.03479i −0.0399877 0.177903i
\(292\) −12.3829 2.18343i −0.724652 0.127776i
\(293\) 1.23196 6.98681i 0.0719721 0.408174i −0.927443 0.373965i \(-0.877998\pi\)
0.999415 0.0342085i \(-0.0108910\pi\)
\(294\) −5.86161 1.51588i −0.341856 0.0884077i
\(295\) −0.00568967 + 0.00477420i −0.000331265 + 0.000277965i
\(296\) 3.33453 + 1.92519i 0.193815 + 0.111899i
\(297\) −7.60545 23.4015i −0.441313 1.35790i
\(298\) 0.229979 + 0.398336i 0.0133223 + 0.0230750i
\(299\) 0.758694 + 4.30277i 0.0438764 + 0.248836i
\(300\) 12.7627 8.18344i 0.736854 0.472471i
\(301\) 11.9150 + 13.5073i 0.686771 + 0.778546i
\(302\) −0.205589 0.564852i −0.0118303 0.0325036i
\(303\) 2.19781 7.04249i 0.126261 0.404581i
\(304\) 8.58466 + 10.2308i 0.492364 + 0.586777i
\(305\) −0.00176969 0.00102173i −0.000101332 5.85042e-5i
\(306\) −0.303458 + 1.15968i −0.0173475 + 0.0662946i
\(307\) −6.20672 3.58345i −0.354236 0.204518i 0.312313 0.949979i \(-0.398896\pi\)
−0.666549 + 0.745461i \(0.732229\pi\)
\(308\) −21.9270 + 0.542076i −1.24941 + 0.0308877i
\(309\) 25.7012 10.7342i 1.46209 0.610646i
\(310\) 0.00213057 0.000775463i 0.000121008 4.40434e-5i
\(311\) −4.03708 + 22.8954i −0.228922 + 1.29828i 0.626122 + 0.779725i \(0.284641\pi\)
−0.855044 + 0.518556i \(0.826470\pi\)
\(312\) 3.44268 + 8.24291i 0.194903 + 0.466663i
\(313\) 15.3541 + 18.2983i 0.867863 + 1.03428i 0.999078 + 0.0429247i \(0.0136676\pi\)
−0.131216 + 0.991354i \(0.541888\pi\)
\(314\) −2.87721 + 4.98347i −0.162370 + 0.281234i
\(315\) 0.00200864 + 0.00398469i 0.000113174 + 0.000224512i
\(316\) −2.25541 3.90648i −0.126877 0.219757i
\(317\) −9.82360 + 26.9901i −0.551748 + 1.51592i 0.279574 + 0.960124i \(0.409807\pi\)
−0.831322 + 0.555791i \(0.812415\pi\)
\(318\) 2.71127 8.68781i 0.152041 0.487188i
\(319\) 30.5143 + 25.6045i 1.70847 + 1.43358i
\(320\) 0.00112905 0.000947383i 6.31156e−5 5.29603e-5i
\(321\) −6.96774 + 0.324692i −0.388901 + 0.0181225i
\(322\) −1.78897 + 1.09268i −0.0996954 + 0.0608929i
\(323\) 4.16468i 0.231729i
\(324\) 13.7363 + 7.71728i 0.763129 + 0.428738i
\(325\) −11.9238 + 6.88420i −0.661412 + 0.381866i
\(326\) −1.16922 + 3.21239i −0.0647569 + 0.177918i
\(327\) −1.80902 0.934984i −0.100039 0.0517047i
\(328\) −12.5279 2.20900i −0.691735 0.121972i
\(329\) 12.9794 + 14.7138i 0.715577 + 0.811201i
\(330\) −0.00156064 0.00169315i −8.59106e−5 9.32047e-5i
\(331\) 24.4353 + 8.89374i 1.34309 + 0.488844i 0.910784 0.412884i \(-0.135478\pi\)
0.432304 + 0.901728i \(0.357701\pi\)
\(332\) 1.68838 2.92436i 0.0926620 0.160495i
\(333\) −6.14070 + 0.573550i −0.336508 + 0.0314304i
\(334\) 2.00547 1.15786i 0.109734 0.0633551i
\(335\) −0.00112355 0.000408937i −6.13858e−5 2.23426e-5i
\(336\) 8.44664 8.18084i 0.460802 0.446302i
\(337\) 5.30836 + 4.45424i 0.289165 + 0.242638i 0.775817 0.630958i \(-0.217338\pi\)
−0.486653 + 0.873596i \(0.661782\pi\)
\(338\) 0.925224 + 2.54203i 0.0503256 + 0.138268i
\(339\) 20.3074 + 15.4880i 1.10294 + 0.841192i
\(340\) −0.000136754 0 0.000775572i −7.41655e−6 0 4.20613e-5i
\(341\) −19.1222 33.1207i −1.03553 1.79358i
\(342\) 7.54317 + 1.97384i 0.407888 + 0.106733i
\(343\) −1.37203 18.4694i −0.0740826 0.997252i
\(344\) 12.5566 2.21407i 0.677008 0.119375i
\(345\) 0.00147487 0.000460275i 7.94045e−5 2.47804e-5i
\(346\) 7.72317 9.20412i 0.415200 0.494817i
\(347\) −0.540900 1.48611i −0.0290370 0.0797786i 0.924327 0.381601i \(-0.124627\pi\)
−0.953364 + 0.301823i \(0.902405\pi\)
\(348\) −25.4782 + 1.18727i −1.36577 + 0.0636441i
\(349\) −11.3433 13.5184i −0.607194 0.723626i 0.371618 0.928386i \(-0.378803\pi\)
−0.978812 + 0.204760i \(0.934359\pi\)
\(350\) −5.16384 4.11986i −0.276019 0.220216i
\(351\) −12.1349 7.58151i −0.647711 0.404671i
\(352\) −11.9032 + 20.6170i −0.634444 + 1.09889i
\(353\) −2.55746 0.930839i −0.136120 0.0495435i 0.273062 0.961996i \(-0.411964\pi\)
−0.409182 + 0.912453i \(0.634186\pi\)
\(354\) 11.4142 0.531896i 0.606660 0.0282700i
\(355\) 0.00315873 0.00376442i 0.000167648 0.000199795i
\(356\) 5.32310 1.93745i 0.282124 0.102685i
\(357\) −3.65754 + 0.261161i −0.193577 + 0.0138221i
\(358\) 2.13903 + 12.1311i 0.113051 + 0.641146i
\(359\) 22.8763i 1.20737i −0.797224 0.603683i \(-0.793699\pi\)
0.797224 0.603683i \(-0.206301\pi\)
\(360\) 0.00314842 0.000256855i 0.000165937 1.35374e-5i
\(361\) −8.08924 −0.425750
\(362\) 3.43841 2.88517i 0.180719 0.151641i
\(363\) −12.0005 + 15.7347i −0.629863 + 0.825857i
\(364\) −9.56480 + 8.43730i −0.501332 + 0.442235i
\(365\) 0.00259557 0.00309328i 0.000135858 0.000161910i
\(366\) 1.21158 + 2.90093i 0.0633305 + 0.151634i
\(367\) 7.27732 1.28319i 0.379873 0.0669819i 0.0195487 0.999809i \(-0.493777\pi\)
0.360325 + 0.932827i \(0.382666\pi\)
\(368\) 4.07137i 0.212235i
\(369\) 18.4164 8.71956i 0.958719 0.453922i
\(370\) −0.000499828 0 0.000288576i −2.59848e−5 0 1.50023e-5i
\(371\) 27.8311 0.688038i 1.44492 0.0357211i
\(372\) 23.3764 + 7.29526i 1.21201 + 0.378242i
\(373\) 5.62504 31.9012i 0.291254 1.65178i −0.390798 0.920477i \(-0.627801\pi\)
0.682051 0.731304i \(-0.261088\pi\)
\(374\) 1.77808 0.647169i 0.0919424 0.0334643i
\(375\) 0.000453274 0.00972705i 2.34070e−5 0.000502303i
\(376\) 13.6783 2.41185i 0.705405 0.124382i
\(377\) 23.1631 1.19296
\(378\) 1.26046 6.74840i 0.0648313 0.347100i
\(379\) −6.72815 −0.345602 −0.172801 0.984957i \(-0.555282\pi\)
−0.172801 + 0.984957i \(0.555282\pi\)
\(380\) −0.00504472 0.000889521i −0.000258789 4.56315e-5i
\(381\) 10.6719 + 5.51571i 0.546736 + 0.282578i
\(382\) 9.78864 3.56278i 0.500831 0.182287i
\(383\) 0.0493036 0.279615i 0.00251930 0.0142876i −0.983522 0.180787i \(-0.942135\pi\)
0.986041 + 0.166500i \(0.0532465\pi\)
\(384\) −4.31636 19.2032i −0.220268 0.979957i
\(385\) 0.00337006 0.00618529i 0.000171754 0.000315231i
\(386\) 7.90450 4.56367i 0.402329 0.232285i
\(387\) −14.3564 + 14.5258i −0.729776 + 0.738387i
\(388\) 3.14389i 0.159607i
\(389\) −0.733433 + 0.129324i −0.0371865 + 0.00655699i −0.192211 0.981354i \(-0.561566\pi\)
0.155024 + 0.987911i \(0.450455\pi\)
\(390\) −0.00132805 0.000170881i −6.72486e−5 8.65291e-6i
\(391\) −0.816083 + 0.972570i −0.0412711 + 0.0491850i
\(392\) −11.6641 5.98620i −0.589124 0.302349i
\(393\) −18.9779 2.44189i −0.957307 0.123177i
\(394\) −3.94256 + 3.30820i −0.198623 + 0.166665i
\(395\) 0.00144861 7.28873e−5
\(396\) −2.31287 24.7627i −0.116226 1.24437i
\(397\) 16.7288i 0.839593i 0.907618 + 0.419797i \(0.137899\pi\)
−0.907618 + 0.419797i \(0.862101\pi\)
\(398\) 0.968833 + 5.49452i 0.0485632 + 0.275416i
\(399\) 1.69872 + 23.7905i 0.0850426 + 1.19102i
\(400\) 12.0563 4.38812i 0.602814 0.219406i
\(401\) −11.8787 + 14.1565i −0.593194 + 0.706941i −0.976216 0.216798i \(-0.930439\pi\)
0.383023 + 0.923739i \(0.374883\pi\)
\(402\) 0.992885 + 1.54848i 0.0495206 + 0.0772311i
\(403\) −20.8978 7.60619i −1.04099 0.378891i
\(404\) 3.72832 6.45763i 0.185491 0.321279i
\(405\) −0.00435195 + 0.00258113i −0.000216250 + 0.000128257i
\(406\) 4.05795 + 10.3461i 0.201393 + 0.513467i
\(407\) 6.25772 + 7.45767i 0.310184 + 0.369663i
\(408\) −1.19183 + 2.30597i −0.0590045 + 0.114163i
\(409\) −6.09589 16.7483i −0.301423 0.828152i −0.994253 0.107052i \(-0.965859\pi\)
0.692831 0.721100i \(-0.256363\pi\)
\(410\) 0.00122569 0.00146072i 6.05323e−5 7.21396e-5i
\(411\) −3.81828 16.9872i −0.188342 0.837918i
\(412\) 27.7239 4.88847i 1.36586 0.240838i
\(413\) 12.7629 + 32.5401i 0.628021 + 1.60119i
\(414\) −1.37476 1.93906i −0.0675658 0.0952994i
\(415\) 0.000542208 0 0.000939132i 2.66159e−5 0 4.61002e-5i
\(416\) 2.40387 + 13.6330i 0.117860 + 0.668415i
\(417\) −0.664181 + 0.277397i −0.0325251 + 0.0135842i
\(418\) −4.20952 11.5656i −0.205894 0.565690i
\(419\) 0.812929 + 0.682129i 0.0397142 + 0.0333242i 0.662429 0.749125i \(-0.269526\pi\)
−0.622715 + 0.782449i \(0.713970\pi\)
\(420\) 0.00109755 + 0.00437463i 5.35549e−5 + 0.000213460i
\(421\) −14.4175 5.24755i −0.702667 0.255750i −0.0341181 0.999418i \(-0.510862\pi\)
−0.668549 + 0.743668i \(0.733084\pi\)
\(422\) 10.2716 5.93029i 0.500011 0.288682i
\(423\) −15.6388 + 15.8233i −0.760385 + 0.769357i
\(424\) 9.85384 17.0674i 0.478545 0.828864i
\(425\) −3.75958 1.36837i −0.182366 0.0663759i
\(426\) −7.37610 + 1.65795i −0.357373 + 0.0803280i
\(427\) −7.21177 + 6.36165i −0.349002 + 0.307862i
\(428\) −6.94305 1.22425i −0.335605 0.0591762i
\(429\) 1.05135 + 22.5616i 0.0507598 + 1.08928i
\(430\) −0.000653672 0.00179595i −3.15229e−5 8.66084e-5i
\(431\) −3.29736 + 1.90373i −0.158828 + 0.0916996i −0.577308 0.816527i \(-0.695897\pi\)
0.418479 + 0.908226i \(0.362563\pi\)
\(432\) 9.90924 + 8.92105i 0.476758 + 0.429214i
\(433\) 29.5261i 1.41893i −0.704739 0.709467i \(-0.748936\pi\)
0.704739 0.709467i \(-0.251064\pi\)
\(434\) −0.263703 10.6668i −0.0126582 0.512023i
\(435\) 0.00376084 0.00727653i 0.000180319 0.000348883i
\(436\) −1.57668 1.32299i −0.0755092 0.0633598i
\(437\) 6.32610 + 5.30822i 0.302618 + 0.253927i
\(438\) −6.06104 + 1.36236i −0.289608 + 0.0650961i
\(439\) 5.64596 15.5122i 0.269467 0.740355i −0.728974 0.684541i \(-0.760003\pi\)
0.998441 0.0558134i \(-0.0177752\pi\)
\(440\) −0.00249315 0.00431827i −0.000118856 0.000205865i
\(441\) 20.7870 2.98373i 0.989855 0.142083i
\(442\) 0.550152 0.952891i 0.0261681 0.0453244i
\(443\) 17.9563 + 21.3994i 0.853127 + 1.01672i 0.999622 + 0.0275061i \(0.00875656\pi\)
−0.146494 + 0.989212i \(0.546799\pi\)
\(444\) −6.18264 0.795522i −0.293415 0.0377538i
\(445\) −0.000315896 0.00179154i −1.49749e−5 8.49270e-5i
\(446\) −11.3406 + 4.12763i −0.536992 + 0.195449i
\(447\) −1.26854 0.967489i −0.0599999 0.0457606i
\(448\) 5.91930 3.61545i 0.279661 0.170814i
\(449\) 20.1252 + 11.6193i 0.949765 + 0.548347i 0.893008 0.450041i \(-0.148591\pi\)
0.0567572 + 0.998388i \(0.481924\pi\)
\(450\) 4.26028 6.16090i 0.200832 0.290428i
\(451\) −27.8549 16.0820i −1.31164 0.757273i
\(452\) 16.5926 + 19.7743i 0.780452 + 0.930107i
\(453\) 1.41307 + 1.53304i 0.0663916 + 0.0720285i
\(454\) 0.730736 + 2.00768i 0.0342952 + 0.0942252i
\(455\) −0.000810726 0.00401490i −3.80074e−5 0.000188222i
\(456\) 14.9993 + 7.75230i 0.702404 + 0.363035i
\(457\) 3.14739 + 17.8497i 0.147229 + 0.834976i 0.965551 + 0.260215i \(0.0837936\pi\)
−0.818322 + 0.574760i \(0.805095\pi\)
\(458\) 3.23444 + 5.60221i 0.151135 + 0.261774i
\(459\) −0.578947 4.11731i −0.0270229 0.192180i
\(460\) 0.00135239 0.000780802i 6.30555e−5 3.64051e-5i
\(461\) −0.780576 + 0.654981i −0.0363550 + 0.0305055i −0.660784 0.750576i \(-0.729776\pi\)
0.624429 + 0.781081i \(0.285332\pi\)
\(462\) −9.89322 + 4.42217i −0.460274 + 0.205738i
\(463\) 5.96496 33.8290i 0.277215 1.57216i −0.454621 0.890685i \(-0.650225\pi\)
0.731837 0.681480i \(-0.238663\pi\)
\(464\) −21.2565 3.74809i −0.986807 0.174001i
\(465\) −0.00578249 + 0.00532995i −0.000268156 + 0.000247171i
\(466\) −4.28622 + 3.59657i −0.198556 + 0.166608i
\(467\) −1.42508 −0.0659449 −0.0329724 0.999456i \(-0.510497\pi\)
−0.0329724 + 0.999456i \(0.510497\pi\)
\(468\) −10.2860 10.1661i −0.475472 0.469927i
\(469\) −3.50921 + 4.39846i −0.162040 + 0.203102i
\(470\) −0.000712064 0.00195638i −3.28451e−5 9.02410e-5i
\(471\) 2.54718 19.7961i 0.117368 0.912158i
\(472\) 24.3677 + 4.29668i 1.12161 + 0.197771i
\(473\) 31.7482 + 5.59806i 1.45978 + 0.257399i
\(474\) −1.77205 1.35151i −0.0813931 0.0620767i
\(475\) −8.90062 + 24.4542i −0.408388 + 1.12204i
\(476\) −3.66468 0.553173i −0.167970 0.0253546i
\(477\) 2.93564 + 31.4304i 0.134414 + 1.43910i
\(478\) 6.26269 0.286449
\(479\) 27.4187 23.0070i 1.25279 1.05122i 0.256381 0.966576i \(-0.417470\pi\)
0.996411 0.0846415i \(-0.0269745\pi\)
\(480\) 0.00467304 + 0.00145835i 0.000213294 + 6.65643e-5i
\(481\) 5.57503 + 0.983028i 0.254200 + 0.0448222i
\(482\) −1.74075 + 9.87226i −0.0792888 + 0.449669i
\(483\) 4.26513 5.88862i 0.194070 0.267941i
\(484\) −15.3217 + 12.8564i −0.696441 + 0.584383i
\(485\) 0.000874365 0 0.000504815i 3.97029e−5 0 2.29225e-5i
\(486\) 7.73176 + 0.902792i 0.350720 + 0.0409515i
\(487\) −17.4657 30.2515i −0.791446 1.37082i −0.925071 0.379793i \(-0.875995\pi\)
0.133625 0.991032i \(-0.457338\pi\)
\(488\) 1.18213 + 6.70421i 0.0535127 + 0.303485i
\(489\) −0.551945 11.8445i −0.0249598 0.535626i
\(490\) 0.00165128 0.00106549i 7.45970e−5 4.81341e-5i
\(491\) −3.72269 10.2280i −0.168003 0.461584i 0.826909 0.562336i \(-0.190097\pi\)
−0.994912 + 0.100752i \(0.967875\pi\)
\(492\) 20.0936 4.51651i 0.905891 0.203620i
\(493\) 4.32647 + 5.15608i 0.194854 + 0.232218i
\(494\) −6.19810 3.57847i −0.278866 0.161003i
\(495\) 0.00725828 + 0.00333291i 0.000326235 + 0.000149803i
\(496\) 17.9469 + 10.3617i 0.805841 + 0.465252i
\(497\) −12.0545 19.7359i −0.540718 0.885276i
\(498\) 0.212909 1.65469i 0.00954068 0.0741482i
\(499\) −5.96349 + 2.17053i −0.266962 + 0.0971663i −0.472033 0.881581i \(-0.656480\pi\)
0.205071 + 0.978747i \(0.434258\pi\)
\(500\) −0.00170906 + 0.00969257i −7.64316e−5 + 0.000433465i
\(501\) −4.87093 + 6.38661i −0.217617 + 0.285333i
\(502\) −7.23693 8.62463i −0.323000 0.384936i
\(503\) −6.72425 + 11.6468i −0.299820 + 0.519303i −0.976095 0.217346i \(-0.930260\pi\)
0.676275 + 0.736649i \(0.263593\pi\)
\(504\) 5.86770 13.6589i 0.261368 0.608415i
\(505\) 0.00119731 + 0.00207381i 5.32798e−5 + 9.22833e-5i
\(506\) −1.28327 + 3.52575i −0.0570482 + 0.156739i
\(507\) −6.35929 6.89923i −0.282426 0.306405i
\(508\) 9.30123 + 7.80466i 0.412675 + 0.346276i
\(509\) 13.2396 + 11.1093i 0.586833 + 0.492411i 0.887183 0.461418i \(-0.152659\pi\)
−0.300350 + 0.953829i \(0.597104\pi\)
\(510\) −0.000210020 0 0.000327542i −9.29984e−6 0 1.45038e-5i
\(511\) −9.90533 16.2172i −0.438186 0.717409i
\(512\) 22.5118i 0.994888i
\(513\) −26.7811 + 3.76577i −1.18242 + 0.166263i
\(514\) −12.7090 + 7.33754i −0.560570 + 0.323645i
\(515\) −0.00309207 + 0.00849540i −0.000136253 + 0.000374352i
\(516\) −17.3769 + 11.1421i −0.764976 + 0.490503i
\(517\) 34.5842 + 6.09812i 1.52101 + 0.268195i
\(518\) 0.537611 + 2.66237i 0.0236213 + 0.116978i
\(519\) −12.4152 + 39.7825i −0.544968 + 1.74626i
\(520\) −0.00272466 0.000991693i −0.000119484 4.34886e-5i
\(521\) −14.2785 + 24.7311i −0.625553 + 1.08349i 0.362881 + 0.931835i \(0.381793\pi\)
−0.988434 + 0.151653i \(0.951540\pi\)
\(522\) −11.3893 + 5.39248i −0.498498 + 0.236023i
\(523\) −13.1449 + 7.58924i −0.574788 + 0.331854i −0.759059 0.651021i \(-0.774341\pi\)
0.184271 + 0.982875i \(0.441008\pi\)
\(524\) −18.1733 6.61455i −0.793905 0.288958i
\(525\) 22.0345 + 6.28328i 0.961666 + 0.274225i
\(526\) −6.41244 5.38068i −0.279596 0.234609i
\(527\) −2.21023 6.07255i −0.0962790 0.264525i
\(528\) 2.68595 20.8746i 0.116891 0.908451i
\(529\) 3.55675 + 20.1713i 0.154641 + 0.877015i
\(530\) 0.00147704 + 0.00255831i 6.41585e−5 + 0.000111126i
\(531\) −35.8213 + 16.9602i −1.55451 + 0.736011i
\(532\) −3.59812 + 23.8370i −0.155998 + 1.03346i
\(533\) −18.4191 + 3.24779i −0.797821 + 0.140677i
\(534\) 2.05788 1.89683i 0.0890532 0.0820839i
\(535\) 0.00145533 0.00173439i 6.29194e−5 7.49844e-5i
\(536\) 1.36234 + 3.74300i 0.0588442 + 0.161673i
\(537\) −23.0622 35.9672i −0.995207 1.55210i
\(538\) −3.02823 3.60891i −0.130556 0.155591i
\(539\) −22.5362 24.3094i −0.970703 1.04708i
\(540\) −0.00486369 + 0.00158069i −0.000209300 + 6.80220e-5i
\(541\) 8.84080 15.3127i 0.380096 0.658345i −0.610980 0.791646i \(-0.709224\pi\)
0.991076 + 0.133301i \(0.0425577\pi\)
\(542\) −1.84261 0.670655i −0.0791469 0.0288071i
\(543\) −7.14824 + 13.8305i −0.306760 + 0.593524i
\(544\) −2.58570 + 3.08152i −0.110861 + 0.132119i
\(545\) 0.000621113 0 0.000226067i 2.66055e−5 0 9.68363e-6i
\(546\) −2.75404 + 5.66774i −0.117862 + 0.242557i
\(547\) −1.23750 7.01822i −0.0529117 0.300077i 0.946855 0.321660i \(-0.104241\pi\)
−0.999767 + 0.0215823i \(0.993130\pi\)
\(548\) 17.5979i 0.751745i
\(549\) −7.75557 7.66513i −0.331000 0.327140i
\(550\) −11.8237 −0.504163
\(551\) 33.5378 28.1416i 1.42876 1.19887i
\(552\) −1.98366 4.74953i −0.0844300 0.202153i
\(553\) 2.17260 6.46177i 0.0923882 0.274782i
\(554\) −7.36395 + 8.77601i −0.312864 + 0.372857i
\(555\) 0.00121400 0.00159175i 5.15312e−5 6.75661e-5i
\(556\) −0.716453 + 0.126330i −0.0303844 + 0.00535758i
\(557\) 7.64857i 0.324080i −0.986784 0.162040i \(-0.948193\pi\)
0.986784 0.162040i \(-0.0518074\pi\)
\(558\) 12.0463 1.12514i 0.509960 0.0476310i
\(559\) 16.2347 9.37312i 0.686655 0.396441i
\(560\) 9.43293e−5 0.00381562i 3.98614e−6 0.000161239i
\(561\) −4.82582 + 4.44815i −0.203746 + 0.187801i
\(562\) 0.154374 0.875496i 0.00651185 0.0369306i
\(563\) 33.9970 12.3739i 1.43280 0.521498i 0.495070 0.868853i \(-0.335143\pi\)
0.937733 + 0.347356i \(0.112920\pi\)
\(564\) −18.9292 + 12.1374i −0.797062 + 0.511077i
\(565\) −0.00816385 + 0.00143951i −0.000343456 + 6.05605e-5i
\(566\) −2.22555 −0.0935467
\(567\) 4.98660 + 23.2838i 0.209418 + 0.977826i
\(568\) −16.3710 −0.686910
\(569\) −5.25761 + 0.927059i −0.220411 + 0.0388643i −0.282763 0.959190i \(-0.591251\pi\)
0.0623521 + 0.998054i \(0.480140\pi\)
\(570\) −0.00213050 + 0.00136608i −8.92369e−5 + 5.72187e-5i
\(571\) −34.9232 + 12.7110i −1.46149 + 0.531939i −0.945775 0.324822i \(-0.894696\pi\)
−0.515715 + 0.856760i \(0.672473\pi\)
\(572\) −3.96411 + 22.4816i −0.165748 + 0.940003i
\(573\) −26.5670 + 24.4878i −1.10985 + 1.02299i
\(574\) −4.67752 7.65815i −0.195236 0.319645i
\(575\) 6.87043 3.96664i 0.286517 0.165421i
\(576\) 4.54877 + 6.41590i 0.189532 + 0.267329i
\(577\) 25.3559i 1.05558i −0.849374 0.527791i \(-0.823020\pi\)
0.849374 0.527791i \(-0.176980\pi\)
\(578\) −8.04532 + 1.41861i −0.334641 + 0.0590063i
\(579\) −19.1987 + 25.1727i −0.797869 + 1.04614i
\(580\) 0.00532154 0.00634197i 0.000220965 0.000263336i
\(581\) 5.00236 1.01012i 0.207533 0.0419069i
\(582\) −0.598617 1.43329i −0.0248135 0.0594117i
\(583\) 38.1711 32.0294i 1.58089 1.32652i
\(584\) −13.4522 −0.556658
\(585\) 0.00447898 0.00122834i 0.000185183 5.07855e-5i
\(586\) 3.54278i 0.146351i
\(587\) 2.85469 + 16.1897i 0.117826 + 0.668222i 0.985312 + 0.170762i \(0.0546229\pi\)
−0.867487 + 0.497460i \(0.834266\pi\)
\(588\) 21.1599 + 1.66519i 0.872621 + 0.0686713i
\(589\) −39.4990 + 14.3765i −1.62753 + 0.592372i
\(590\) −0.00238406 + 0.00284121i −9.81501e−5 + 0.000116971i
\(591\) 8.19633 15.8584i 0.337152 0.652326i
\(592\) −4.95708 1.80423i −0.203735 0.0741533i
\(593\) −15.3209 + 26.5365i −0.629153 + 1.08973i 0.358569 + 0.933503i \(0.383265\pi\)
−0.987722 + 0.156222i \(0.950068\pi\)
\(594\) −5.76941 10.8488i −0.236722 0.445133i
\(595\) 0.000742286 0 0.000930384i 3.04307e−5 0 3.81420e-5i
\(596\) −1.03649 1.23524i −0.0424564 0.0505976i
\(597\) −10.4456 16.2907i −0.427509 0.666732i
\(598\) 0.746216 + 2.05021i 0.0305150 + 0.0838393i
\(599\) 12.5598 14.9682i 0.513181 0.611585i −0.445773 0.895146i \(-0.647071\pi\)
0.958954 + 0.283561i \(0.0915158\pi\)
\(600\) 11.9265 10.9931i 0.486896 0.448792i
\(601\) −20.6262 + 3.63695i −0.841360 + 0.148354i −0.577688 0.816258i \(-0.696045\pi\)
−0.263672 + 0.964612i \(0.584934\pi\)
\(602\) 7.03079 + 5.60936i 0.286554 + 0.228620i
\(603\) −5.24773 3.62882i −0.213704 0.147777i
\(604\) 1.05366 + 1.82498i 0.0428726 + 0.0742576i
\(605\) −0.00111537 0.00632557i −4.53462e−5 0.000257171i
\(606\) 0.470150 3.65391i 0.0190985 0.148430i
\(607\) −9.22736 25.3520i −0.374527 1.02900i −0.973590 0.228302i \(-0.926683\pi\)
0.599063 0.800702i \(-0.295540\pi\)
\(608\) 20.0438 + 16.8188i 0.812884 + 0.682091i
\(609\) −26.8178 27.6891i −1.08671 1.12202i
\(610\) −0.000958889 0 0.000349007i −3.88243e−5 0 1.41309e-5i
\(611\) 17.6849 10.2104i 0.715456 0.413069i
\(612\) 0.341707 4.18852i 0.0138127 0.169311i
\(613\) 13.4525 23.3005i 0.543343 0.941097i −0.455366 0.890304i \(-0.650492\pi\)
0.998709 0.0507931i \(-0.0161749\pi\)
\(614\) −3.36305 1.22405i −0.135722 0.0493986i
\(615\) −0.00197033 + 0.00631358i −7.94513e−5 + 0.000254588i
\(616\) −23.0016 + 4.64469i −0.926761 + 0.187140i
\(617\) −22.1664 3.90853i −0.892386 0.157352i −0.291390 0.956604i \(-0.594118\pi\)
−0.600995 + 0.799253i \(0.705229\pi\)
\(618\) 11.7084 7.50745i 0.470982 0.301994i
\(619\) 3.67268 10.0906i 0.147617 0.405575i −0.843742 0.536749i \(-0.819652\pi\)
0.991359 + 0.131173i \(0.0418745\pi\)
\(620\) −0.00688367 + 0.00397429i −0.000276455 + 0.000159611i
\(621\) 6.99206 + 4.36844i 0.280582 + 0.175299i
\(622\) 11.6095i 0.465499i
\(623\) 7.51770 + 4.09603i 0.301190 + 0.164104i
\(624\) −6.60603 10.3026i −0.264453 0.412434i
\(625\) 19.1511 + 16.0697i 0.766044 + 0.642787i
\(626\) 9.13746 + 7.66724i 0.365207 + 0.306445i
\(627\) 28.9331 + 31.3896i 1.15548 + 1.25358i
\(628\) 6.89975 18.9569i 0.275330 0.756463i
\(629\) 0.822500 + 1.42461i 0.0327952 + 0.0568030i
\(630\) 0.00133333 + 0.00178540i 5.31211e−5 + 7.11320e-5i
\(631\) −0.130873 + 0.226679i −0.00520998 + 0.00902394i −0.868619 0.495481i \(-0.834992\pi\)
0.863409 + 0.504505i \(0.168325\pi\)
\(632\) −3.10204 3.69687i −0.123393 0.147054i
\(633\) −24.9478 + 32.7108i −0.991587 + 1.30014i
\(634\) −2.49061 + 14.1249i −0.0989146 + 0.560973i
\(635\) −0.00366410 + 0.00133362i −0.000145405 + 5.29233e-5i
\(636\) −4.07178 + 31.6450i −0.161457 + 1.25481i
\(637\) −19.1251 2.40510i −0.757765 0.0952934i
\(638\) 17.2264 + 9.94569i 0.682001 + 0.393754i
\(639\) 21.3917 15.1663i 0.846241 0.599971i
\(640\) 0.00553270 + 0.00319431i 0.000218699 + 0.000126266i
\(641\) −32.1360 38.2982i −1.26930 1.51269i −0.756166 0.654380i \(-0.772930\pi\)
−0.513131 0.858310i \(-0.671515\pi\)
\(642\) −3.39841 + 0.763872i −0.134125 + 0.0301476i
\(643\) 5.42130 + 14.8949i 0.213795 + 0.587397i 0.999514 0.0311869i \(-0.00992871\pi\)
−0.785718 + 0.618584i \(0.787706\pi\)
\(644\) 5.51120 4.86154i 0.217172 0.191571i
\(645\) −0.000308576 0.00662189i −1.21502e−5 0.000260737i
\(646\) −0.361134 2.04809i −0.0142086 0.0805811i
\(647\) 7.51759 + 13.0208i 0.295547 + 0.511902i 0.975112 0.221713i \(-0.0711648\pi\)
−0.679565 + 0.733615i \(0.737831\pi\)
\(648\) 15.9063 + 5.57902i 0.624859 + 0.219165i
\(649\) 54.1799 + 31.2808i 2.12675 + 1.22788i
\(650\) −5.26688 + 4.41943i −0.206584 + 0.173344i
\(651\) 15.1027 + 33.7876i 0.591923 + 1.32424i
\(652\) 2.08110 11.8025i 0.0815022 0.462222i
\(653\) 15.1536 + 2.67199i 0.593007 + 0.104563i 0.462094 0.886831i \(-0.347098\pi\)
0.130912 + 0.991394i \(0.458209\pi\)
\(654\) −0.970708 0.302937i −0.0379577 0.0118458i
\(655\) 0.00475771 0.00399219i 0.000185899 0.000155988i
\(656\) 17.4286 0.680471
\(657\) 17.5778 12.4624i 0.685775 0.486204i
\(658\) 7.65884 + 6.11043i 0.298573 + 0.238209i
\(659\) −5.58157 + 15.3352i −0.217427 + 0.597376i −0.999672 0.0255942i \(-0.991852\pi\)
0.782245 + 0.622971i \(0.214074\pi\)
\(660\) 0.00641882 + 0.00489550i 0.000249852 + 0.000190557i
\(661\) 29.6565 + 5.22925i 1.15351 + 0.203394i 0.717506 0.696553i \(-0.245284\pi\)
0.436000 + 0.899947i \(0.356395\pi\)
\(662\) 12.7879 + 2.25486i 0.497017 + 0.0876375i
\(663\) −0.487046 + 3.78522i −0.0189153 + 0.147006i
\(664\) 1.23560 3.39478i 0.0479505 0.131743i
\(665\) −0.00605170 0.00482821i −0.000234675 0.000187230i
\(666\) −2.97011 + 0.814539i −0.115090 + 0.0315628i
\(667\) −13.3465 −0.516777
\(668\) −6.21898 + 5.21834i −0.240620 + 0.201904i
\(669\) 30.7790 28.3703i 1.18999 1.09686i
\(670\) −0.000587993 0 0.000103679i −2.27162e−5 0 4.00547e-6i
\(671\) −2.98890 + 16.9509i −0.115385 + 0.654383i
\(672\) 13.5138 18.6577i 0.521305 0.719737i
\(673\) 8.51271 7.14301i 0.328141 0.275343i −0.463801 0.885939i \(-0.653515\pi\)
0.791942 + 0.610597i \(0.209070\pi\)
\(674\) 2.99677 + 1.73018i 0.115431 + 0.0666442i
\(675\) −5.39991 + 25.4134i −0.207843 + 0.978162i
\(676\) −4.74182 8.21308i −0.182378 0.315888i
\(677\) 5.39839 + 30.6158i 0.207477 + 1.17666i 0.893494 + 0.449075i \(0.148246\pi\)
−0.686017 + 0.727585i \(0.740643\pi\)
\(678\) 11.3297 + 5.85570i 0.435114 + 0.224887i
\(679\) 3.56318 3.14315i 0.136742 0.120623i
\(680\) −0.000288169 0 0.000791738i −1.10508e−5 0 3.03618e-5i
\(681\) −5.02253 5.44897i −0.192464 0.208805i
\(682\) −12.2759 14.6298i −0.470067 0.560204i
\(683\) 17.3662 + 10.0264i 0.664500 + 0.383649i 0.793989 0.607932i \(-0.208001\pi\)
−0.129490 + 0.991581i \(0.541334\pi\)
\(684\) −27.2443 2.22264i −1.04171 0.0849848i
\(685\) 0.00489426 + 0.00282570i 0.000187000 + 0.000107965i
\(686\) −2.27627 8.96382i −0.0869085 0.342240i
\(687\) −17.8408 13.6068i −0.680669 0.519132i
\(688\) −16.4151 + 5.97461i −0.625820 + 0.227780i
\(689\) 5.03151 28.5351i 0.191685 1.08710i
\(690\) 0.000765219 0 9.84610e-5i 2.91314e−5 0 3.74835e-6i
\(691\) −3.41783 4.07321i −0.130020 0.154952i 0.697106 0.716968i \(-0.254471\pi\)
−0.827127 + 0.562016i \(0.810026\pi\)
\(692\) −21.0610 + 36.4787i −0.800618 + 1.38671i
\(693\) 25.7529 27.3782i 0.978270 1.04001i
\(694\) −0.394867 0.683930i −0.0149890 0.0259616i
\(695\) 7.99067e−5 0 0.000219542i 3.03103e−6 0 8.32769e-6i
\(696\) −26.6233 + 5.98420i −1.00915 + 0.226830i
\(697\) −4.16334 3.49346i −0.157698 0.132324i
\(698\) −6.75060 5.66443i −0.255514 0.214402i
\(699\) 8.91078 17.2407i 0.337037 0.652103i
\(700\) 20.3361 + 11.0802i 0.768633 + 0.418791i
\(701\) 16.0144i 0.604857i −0.953172 0.302428i \(-0.902203\pi\)
0.953172 0.302428i \(-0.0977973\pi\)
\(702\) −6.62505 2.67615i −0.250047 0.101005i
\(703\) 9.26641 5.34997i 0.349489 0.201778i
\(704\) 4.24605 11.6659i 0.160029 0.439676i
\(705\) −0.000336140 0.00721341i −1.26598e−5 0.000271673i
\(706\) −1.33841 0.235998i −0.0503718 0.00888192i
\(707\) 11.0463 2.23057i 0.415439 0.0838893i
\(708\) −39.0837 + 8.78497i −1.46885 + 0.330159i
\(709\) −0.229579 0.0835600i −0.00862202 0.00313816i 0.337706 0.941252i \(-0.390349\pi\)
−0.346328 + 0.938114i \(0.612571\pi\)
\(710\) 0.00122696 0.00212516i 4.60470e−5 7.97558e-5i
\(711\) 7.47822 + 1.95685i 0.280455 + 0.0733876i
\(712\) 5.24849 3.03022i 0.196696 0.113562i
\(713\) 12.0412 + 4.38265i 0.450948 + 0.164132i
\(714\) −1.77604 + 0.445590i −0.0664667 + 0.0166758i
\(715\) −0.00561597 0.00471236i −0.000210025 0.000176232i
\(716\) −14.7699 40.5801i −0.551979 1.51655i
\(717\) −20.0443 + 8.37157i −0.748569 + 0.312642i
\(718\) −1.98368 11.2500i −0.0740305 0.419848i
\(719\) −17.6366 30.5475i −0.657734 1.13923i −0.981201 0.192989i \(-0.938182\pi\)
0.323467 0.946239i \(-0.395152\pi\)
\(720\) −0.00430907 0.000402474i −0.000160590 1.49993e-5i
\(721\) 33.2578 + 26.5340i 1.23859 + 0.988178i
\(722\) −3.97810 + 0.701446i −0.148049 + 0.0261051i
\(723\) −7.62521 33.9240i −0.283584 1.26165i
\(724\) −10.1147 + 12.0542i −0.375909 + 0.447991i
\(725\) −14.3848 39.5219i −0.534238 1.46781i
\(726\) −4.53716 + 8.77855i −0.168390 + 0.325803i
\(727\) 28.8861 + 34.4251i 1.07133 + 1.27676i 0.959098 + 0.283075i \(0.0913546\pi\)
0.112229 + 0.993682i \(0.464201\pi\)
\(728\) −8.51002 + 10.6665i −0.315402 + 0.395326i
\(729\) −25.9530 + 7.44587i −0.961223 + 0.275773i
\(730\) 0.00100821 0.00174627i 3.73155e−5 6.46324e-5i
\(731\) 5.11882 + 1.86310i 0.189326 + 0.0689092i
\(732\) −5.94896 9.27785i −0.219880 0.342919i
\(733\) −28.0884 + 33.4744i −1.03747 + 1.23641i −0.0663525 + 0.997796i \(0.521136\pi\)
−0.971115 + 0.238610i \(0.923308\pi\)
\(734\) 3.46755 1.26208i 0.127989 0.0465843i
\(735\) −0.00386077 + 0.00561753i −0.000142407 + 0.000207206i
\(736\) −1.38510 7.85530i −0.0510555 0.289550i
\(737\) 10.0712i 0.370976i
\(738\) 8.30064 5.88502i 0.305551 0.216631i
\(739\) 35.4098 1.30257 0.651286 0.758833i \(-0.274230\pi\)
0.651286 + 0.758833i \(0.274230\pi\)
\(740\) 0.00154997 0.00130058i 5.69781e−5 4.78103e-5i
\(741\) 24.6211 + 3.16800i 0.904477 + 0.116379i
\(742\) 13.6270 2.75169i 0.500264 0.101018i
\(743\) 14.2073 16.9316i 0.521216 0.621161i −0.439652 0.898168i \(-0.644898\pi\)
0.960868 + 0.277007i \(0.0893426\pi\)
\(744\) 25.9847 + 3.34346i 0.952646 + 0.122577i
\(745\) 0.000509971 0 8.99217e-5i 1.86839e−5 0 3.29448e-6i
\(746\) 16.1760i 0.592246i
\(747\) 1.53045 + 5.58058i 0.0559961 + 0.204183i
\(748\) −5.74482 + 3.31677i −0.210051 + 0.121273i
\(749\) −5.55390 9.09297i −0.202935 0.332250i
\(750\) 0.00106637 + 0.00474423i 3.89385e−5 + 0.000173235i
\(751\) 7.28917 41.3389i 0.265985 1.50848i −0.500229 0.865893i \(-0.666751\pi\)
0.766214 0.642585i \(-0.222138\pi\)
\(752\) −17.8815 + 6.50832i −0.652070 + 0.237334i
\(753\) 34.6913 + 17.9301i 1.26422 + 0.653408i
\(754\) 11.3910 2.00855i 0.414837 0.0731470i
\(755\) −0.000676743 0 −2.46292e−5 0
\(756\) −0.243536 + 24.0660i −0.00885734 + 0.875274i
\(757\) 7.91633 0.287724 0.143862 0.989598i \(-0.454048\pi\)
0.143862 + 0.989598i \(0.454048\pi\)
\(758\) −3.30875 + 0.583421i −0.120179 + 0.0211908i
\(759\) −0.605786 12.9999i −0.0219886 0.471866i
\(760\) −0.00514988 + 0.00187440i −0.000186806 + 6.79917e-5i
\(761\) −5.73553 + 32.5278i −0.207913 + 1.17913i 0.684877 + 0.728659i \(0.259856\pi\)
−0.892790 + 0.450474i \(0.851255\pi\)
\(762\) 5.72646 + 1.78710i 0.207448 + 0.0647398i
\(763\) −0.0768760 3.10964i −0.00278310 0.112576i
\(764\) −31.6262 + 18.2594i −1.14420 + 0.660602i
\(765\) 0.00111003 0.000767586i 4.01331e−5 2.77521e-5i
\(766\)