Properties

Label 189.2.ba.a.38.14
Level $189$
Weight $2$
Character 189.38
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 38.14
Character \(\chi\) \(=\) 189.38
Dual form 189.2.ba.a.5.14

$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\) \(e\left(\frac{1}{6}\right)\)

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 0.344790 0.938680i \(-0.387950\pi\)
0.00294872 + 0.999996i \(0.499061\pi\)
\(3\) −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 0.984830 0.173524i \(-0.0555155\pi\)
−0.984786 + 0.173772i \(0.944404\pi\)
\(6\) −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 −0.581463 0.813573i \(-0.697519\pi\)
−0.824654 + 0.565637i \(0.808630\pi\)
\(12\) 1.83882 + 2.41100i 0.530821 + 0.695996i
\(13\) −1.77003 2.10944i −0.490918 0.585053i 0.462533 0.886602i \(-0.346941\pi\)
−0.953451 + 0.301549i \(0.902496\pi\)
\(14\) −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 \(-0.796350\pi\)
0.802224 0.597024i \(-0.203650\pi\)
\(20\) 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 0.861821 0.507213i \(-0.169324\pi\)
−0.649160 + 0.760651i \(0.724880\pi\)
\(24\) 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 −0.0236057 + 0.999721i \(0.507515\pi\)
−0.980434 + 0.196847i \(0.936930\pi\)
\(30\) 0.000262469 0 0.000409339i 4.79200e−5 0 7.47348e-5i
\(31\) 2.76219 7.58906i 0.496104 1.36304i −0.398907 0.916991i \(-0.630610\pi\)
0.895011 0.446044i \(-0.147167\pi\)
\(32\) 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 −0.938064 0.346463i \(-0.887383\pi\)
0.769077 + 0.639156i \(0.220716\pi\)
\(38\) 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 −0.138642 0.990343i \(-0.544274\pi\)
0.951222 + 0.308507i \(0.0998292\pi\)
\(42\) 2.21958 + 0.556868i 0.342488 + 0.0859266i
\(43\) −6.39715 + 2.32837i −0.975556 + 0.355073i −0.780111 0.625641i \(-0.784837\pi\)
−0.195445 + 0.980715i \(0.562615\pi\)
\(44\) 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 −0.795916 0.605407i \(-0.793010\pi\)
−0.220559 + 0.975374i \(0.570788\pi\)
\(48\) −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 −0.280269 0.959921i \(-0.590424\pi\)
−0.971451 + 0.237241i \(0.923757\pi\)
\(54\) 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 −0.330740 + 0.943722i \(0.607298\pi\)
−0.986817 + 0.161840i \(0.948257\pi\)
\(60\) −0.00115536 + 0.00125345i −0.000149156 + 0.000161820i
\(61\) 1.24316 + 3.41555i 0.159170 + 0.437317i 0.993484 0.113974i \(-0.0363579\pi\)
−0.834314 + 0.551290i \(0.814136\pi\)
\(62\) 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 0.999021 0.0442393i \(-0.0140864\pi\)
−0.953903 + 0.300114i \(0.902975\pi\)
\(68\) 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 0.0216981 0.999765i \(-0.493093\pi\)
0.876671 + 0.481091i \(0.159759\pi\)
\(72\) 0.522528 5.59443i 0.0615806 0.659310i
\(73\) 6.22020 3.59123i 0.728019 0.420322i −0.0896781 0.995971i \(-0.528584\pi\)
0.817697 + 0.575649i \(0.195250\pi\)
\(74\) −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 −0.949237 0.314561i \(-0.898143\pi\)
0.999577 + 0.0290673i \(0.00925372\pi\)
\(80\) −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 0.558082 0.829786i \(-0.311538\pi\)
−0.720270 + 0.693694i \(0.755982\pi\)
\(84\) −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 0.904597 0.426268i \(-0.140172\pi\)
−0.966961 + 0.254923i \(0.917950\pi\)
\(98\) 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 0.465855 0.884861i \(-0.345747\pi\)
−0.790523 + 0.612432i \(0.790191\pi\)
\(102\) 0.508886 + 0.469061i 0.0503872 + 0.0464439i
\(103\) −15.8365 + 2.79240i −1.56041 + 0.275143i −0.886168 0.463365i \(-0.846642\pi\)
−0.674245 + 0.738508i \(0.735531\pi\)
\(104\) 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 −0.321853 0.946790i \(-0.604306\pi\)
0.659017 + 0.752128i \(0.270972\pi\)
\(108\) −4.27115 + 8.03150i −0.410992 + 0.772831i
\(109\) 0.587845 1.01818i 0.0563054 0.0975238i −0.836499 0.547969i \(-0.815401\pi\)
0.892804 + 0.450445i \(0.148735\pi\)
\(110\) 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 0.439745 + 0.898123i \(0.355069\pi\)
−0.914166 + 0.405340i \(0.867153\pi\)
\(114\) −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 −0.977864 0.209243i \(-0.932900\pi\)
0.670142 + 0.742233i \(0.266233\pi\)
\(128\) −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 −0.193287 0.981142i \(-0.561915\pi\)
0.932672 + 0.360724i \(0.117470\pi\)
\(132\) −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 −0.995512 0.0946343i \(-0.969832\pi\)
0.701777 0.712397i \(-0.252390\pi\)
\(138\) 0.0638805 1.37085i 0.00543787 0.116694i
\(139\) 0.409252 0.0721623i 0.0347123 0.00612072i −0.156265 0.987715i \(-0.549945\pi\)
0.190977 + 0.981594i \(0.438834\pi\)
\(140\) 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 −0.926119 0.377231i \(-0.876876\pi\)
0.951928 + 0.306323i \(0.0990986\pi\)
\(150\) −3.99055 1.66666i −0.325827 0.136083i
\(151\) −0.209027 + 1.18545i −0.0170104 + 0.0964707i −0.992131 0.125204i \(-0.960041\pi\)
0.975121 + 0.221675i \(0.0711524\pi\)
\(152\) −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 0.384671 0.923054i \(-0.374315\pi\)
−0.975828 + 0.218540i \(0.929871\pi\)
\(158\) 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 0.700268 0.713880i \(-0.253064\pi\)
−0.968372 + 0.249510i \(0.919730\pi\)
\(164\) −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 0.505073 0.863076i \(-0.331465\pi\)
−0.167866 + 0.985810i \(0.553688\pi\)
\(168\) −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 0.960501 + 0.278276i \(0.0897630\pi\)
0.440838 + 0.897587i \(0.354681\pi\)
\(174\) 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 \(-0.626653\pi\)
0.387475 0.921880i \(-0.373347\pi\)
\(180\) 0.00285645 0.000747457i 0.000212907 5.57121e-5i
\(181\) 7.78429 + 4.49426i 0.578601 + 0.334056i 0.760577 0.649247i \(-0.224916\pi\)
−0.181976 + 0.983303i \(0.558249\pi\)
\(182\) 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 0.857159 0.515051i \(-0.172227\pi\)
0.629308 + 0.777156i \(0.283338\pi\)
\(192\) −0.211366 + 4.53582i −0.0152541 + 0.327345i
\(193\) 17.1757 + 6.25143i 1.23633 + 0.449988i 0.875762 0.482744i \(-0.160360\pi\)
0.360571 + 0.932732i \(0.382582\pi\)
\(194\) −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 0.147118 0.989119i \(-0.453000\pi\)
−0.783043 + 0.621967i \(0.786334\pi\)
\(198\) −0.576842 7.07071i −0.0409944 0.502494i
\(199\) 11.1728i 0.792020i −0.918246 0.396010i \(-0.870395\pi\)
0.918246 0.396010i \(-0.129605\pi\)
\(200\) −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 0.965204 0.261498i \(-0.0842165\pi\)
0.571302 + 0.820740i \(0.306439\pi\)
\(212\) 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 −0.694871 0.719134i \(-0.744539\pi\)
−0.898924 + 0.438105i \(0.855650\pi\)
\(224\) −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 −0.950174 0.311719i \(-0.899095\pi\)
0.999486 + 0.0320585i \(0.0102063\pi\)
\(228\) 12.5486 9.57056i 0.831053 0.633826i
\(229\) 4.43062 12.1730i 0.292784 0.804417i −0.702873 0.711315i \(-0.748100\pi\)
0.995657 0.0931013i \(-0.0296780\pi\)
\(230\) −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 0.147251 0.989099i \(-0.452957\pi\)
−0.782959 + 0.622073i \(0.786291\pi\)
\(234\) 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 0.240733 0.970591i \(-0.422612\pi\)
0.558177 + 0.829722i \(0.311501\pi\)
\(240\) 0.00221972 0.00114725i 0.000143283 7.40550e-5i
\(241\) −6.86595 18.8641i −0.442275 1.21514i −0.937992 0.346656i \(-0.887317\pi\)
0.495717 0.868484i \(-0.334905\pi\)
\(242\) 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 0.252729 + 0.967537i \(0.418672\pi\)
−0.964276 + 0.264899i \(0.914661\pi\)
\(252\) 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 −0.724537 0.689236i \(-0.757946\pi\)
−0.998060 + 0.0622616i \(0.980169\pi\)
\(258\) 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 −0.988013 0.154371i \(-0.950665\pi\)
0.323593 + 0.946197i \(0.395109\pi\)
\(264\) −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 −0.973238 0.229799i \(-0.926193\pi\)
0.685631 + 0.727949i \(0.259526\pi\)
\(270\) 0.00144457 0.000203125i 8.79136e−5 1.23618e-5i
\(271\) −3.40065 + 1.96337i −0.206575 + 0.119266i −0.599719 0.800211i \(-0.704721\pi\)
0.393144 + 0.919477i \(0.371388\pi\)
\(272\) −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 −0.0622389 0.998061i \(-0.519824\pi\)
−0.993706 + 0.112018i \(0.964269\pi\)
\(278\) 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 0.956528 0.291639i \(-0.0942006\pi\)
−0.920205 + 0.391436i \(0.871978\pi\)
\(282\) 5.91864 + 2.47194i 0.352450 + 0.147202i
\(283\) −4.38907 + 0.773911i −0.260903 + 0.0460042i −0.302569 0.953127i \(-0.597844\pi\)
0.0416665 + 0.999132i \(0.486733\pi\)
\(284\) −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 0.999415 + 0.0342085i \(0.0108910\pi\)
−0.927443 + 0.373965i \(0.877998\pi\)
\(294\) −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 −0.666549 0.745461i \(-0.732229\pi\)
0.312313 + 0.949979i \(0.398896\pi\)
\(308\) −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 −0.855044 0.518556i \(-0.826470\pi\)
0.626122 0.779725i \(-0.284641\pi\)
\(312\) 3.44268 8.24291i 0.194903 0.466663i
\(313\) 15.3541 18.2983i 0.867863 1.03428i −0.131216 0.991354i \(-0.541888\pi\)
0.999078 0.0429247i \(-0.0136676\pi\)
\(314\) −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 −0.831322 0.555791i \(-0.812415\pi\)
0.279574 0.960124i \(-0.409807\pi\)
\(318\) 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 0.432304 0.901728i \(-0.357701\pi\)
0.910784 + 0.412884i \(0.135478\pi\)
\(332\) 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 −0.486653 0.873596i \(-0.661782\pi\)
0.775817 + 0.630958i \(0.217338\pi\)
\(338\) 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 −0.953364 0.301823i \(-0.902405\pi\)
0.924327 + 0.381601i \(0.124627\pi\)
\(348\) −25.4782 1.18727i −1.36577 0.0636441i
\(349\) −11.3433 + 13.5184i −0.607194 + 0.723626i −0.978812 0.204760i \(-0.934359\pi\)
0.371618 + 0.928386i \(0.378803\pi\)
\(350\) −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 −0.409182 0.912453i \(-0.634186\pi\)
0.273062 + 0.961996i \(0.411964\pi\)
\(354\) 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 \(0.206301\pi\)
−0.797224 + 0.603683i \(0.793699\pi\)
\(360\) 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 0.360325 0.932827i \(-0.382666\pi\)
0.0195487 + 0.999809i \(0.493777\pi\)
\(368\) 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 0.682051 + 0.731304i \(0.261088\pi\)
−0.390798 + 0.920477i \(0.627801\pi\)
\(374\) 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 0.986041 0.166500i \(-0.0532465\pi\)
−0.983522 + 0.180787i \(0.942135\pi\)
\(384\) −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 0.155024 0.987911i \(-0.450455\pi\)
−0.192211 + 0.981354i \(0.561566\pi\)
\(390\) −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 \(-0.862101\pi\)
0.907618 0.419797i \(-0.137899\pi\)
\(398\) 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 0.383023 0.923739i \(-0.374883\pi\)
−0.976216 + 0.216798i \(0.930439\pi\)
\(402\) 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 0.692831 + 0.721100i \(0.256363\pi\)
−0.994253 + 0.107052i \(0.965859\pi\)
\(410\) 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 −0.622715 0.782449i \(-0.713970\pi\)
0.662429 + 0.749125i \(0.269526\pi\)
\(420\) 0.00109755 0.00437463i 5.35549e−5 0.000213460i
\(421\) −14.4175 + 5.24755i −0.702667 + 0.255750i −0.668549 0.743668i \(-0.733084\pi\)
−0.0341181 + 0.999418i \(0.510862\pi\)
\(422\) 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 0.418479 0.908226i \(-0.362563\pi\)
−0.577308 + 0.816527i \(0.695897\pi\)
\(432\) 9.90924 8.92105i 0.476758 0.429214i
\(433\) 29.5261i 1.41893i 0.704739 + 0.709467i \(0.251064\pi\)
−0.704739 + 0.709467i \(0.748936\pi\)
\(434\) −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 0.998441 + 0.0558134i \(0.0177752\pi\)
−0.728974 + 0.684541i \(0.760003\pi\)
\(440\) −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 −0.146494 0.989212i \(-0.546799\pi\)
0.999622 0.0275061i \(-0.00875656\pi\)
\(444\) −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 0.0567572 0.998388i \(-0.481924\pi\)
0.893008 + 0.450041i \(0.148591\pi\)
\(450\) 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 −0.818322 0.574760i \(-0.805095\pi\)
0.965551 0.260215i \(-0.0837936\pi\)
\(458\) 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 0.624429 0.781081i \(-0.285332\pi\)
−0.660784 + 0.750576i \(0.729776\pi\)
\(462\) −9.89322 4.42217i −0.460274 0.205738i
\(463\) 5.96496 + 33.8290i 0.277215 + 1.57216i 0.731837 + 0.681480i \(0.238663\pi\)
−0.454621 + 0.890685i \(0.650225\pi\)
\(464\) −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 0.996411 + 0.0846415i \(0.0269745\pi\)
0.256381 + 0.966576i \(0.417470\pi\)
\(480\) 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 0.133625 + 0.991032i \(0.457338\pi\)
−0.925071 + 0.379793i \(0.875995\pi\)
\(488\) 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 −0.994912 0.100752i \(-0.967875\pi\)
0.826909 + 0.562336i \(0.190097\pi\)
\(492\) 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 0.205071 0.978747i \(-0.434258\pi\)
−0.472033 + 0.881581i \(0.656480\pi\)
\(500\) −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 0.676275 0.736649i \(-0.263593\pi\)
−0.976095 + 0.217346i \(0.930260\pi\)
\(504\) 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 −0.300350 0.953829i \(-0.597104\pi\)
0.887183 + 0.461418i \(0.152659\pi\)
\(510\) −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 −0.988434 0.151653i \(-0.951540\pi\)
0.362881 0.931835i \(-0.381793\pi\)
\(522\) −11.3893 5.39248i −0.498498 0.236023i
\(523\) −13.1449 7.58924i −0.574788 0.331854i 0.184271 0.982875i \(-0.441008\pi\)
−0.759059 + 0.651021i \(0.774341\pi\)
\(524\) −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 0.991076 0.133301i \(-0.0425577\pi\)
−0.610980 + 0.791646i \(0.709224\pi\)
\(542\) −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 −0.999767 0.0215823i \(-0.993130\pi\)
0.946855 + 0.321660i \(0.104241\pi\)
\(548\) 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 \(0.0518074\pi\)
−0.986784 + 0.162040i \(0.948193\pi\)
\(558\) 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 0.937733 0.347356i \(-0.112920\pi\)
0.495070 + 0.868853i \(0.335143\pi\)
\(564\) −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 0.0623521 0.998054i \(-0.480140\pi\)
−0.282763 + 0.959190i \(0.591251\pi\)
\(570\) −0.00213050 0.00136608i −8.92369e−5 5.72187e-5i
\(571\) −34.9232 12.7110i −1.46149 0.531939i −0.515715 0.856760i \(-0.672473\pi\)
−0.945775 + 0.324822i \(0.894696\pi\)
\(572\) −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 \(0.176980\pi\)
−0.849374 + 0.527791i \(0.823020\pi\)
\(578\) −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 −0.867487 0.497460i \(-0.834266\pi\)
0.985312 0.170762i \(-0.0546229\pi\)
\(588\) 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 −0.987722 0.156222i \(-0.950068\pi\)
0.358569 0.933503i \(-0.383265\pi\)
\(594\) −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 0.958954 0.283561i \(-0.0915158\pi\)
−0.445773 + 0.895146i \(0.647071\pi\)
\(600\) 11.9265 + 10.9931i 0.486896 + 0.448792i
\(601\) −20.6262 3.63695i −0.841360 0.148354i −0.263672 0.964612i \(-0.584934\pi\)
−0.577688 + 0.816258i \(0.696045\pi\)
\(602\) 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 0.599063 + 0.800702i \(0.295540\pi\)
−0.973590 + 0.228302i \(0.926683\pi\)
\(608\) 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 0.998709 + 0.0507931i \(0.0161749\pi\)
−0.455366 + 0.890304i \(0.650492\pi\)
\(614\) −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 −0.600995 0.799253i \(-0.705229\pi\)
−0.291390 + 0.956604i \(0.594118\pi\)
\(618\) 11.7084 + 7.50745i 0.470982 + 0.301994i
\(619\) 3.67268 + 10.0906i 0.147617 + 0.405575i 0.991359 0.131173i \(-0.0418745\pi\)
−0.843742 + 0.536749i \(0.819652\pi\)
\(620\) −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 0.863409 0.504505i \(-0.168325\pi\)
−0.868619 + 0.495481i \(0.834992\pi\)
\(632\) −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 −0.513131 + 0.858310i \(0.671515\pi\)
−0.756166 + 0.654380i \(0.772930\pi\)
\(642\) −3.39841 0.763872i −0.134125 0.0301476i
\(643\) 5.42130 14.8949i 0.213795 0.587397i −0.785718 0.618584i \(-0.787706\pi\)
0.999514 + 0.0311869i \(0.00992871\pi\)
\(644\) 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 −0.679565 0.733615i \(-0.737831\pi\)
0.975112 + 0.221713i \(0.0711648\pi\)
\(648\) 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 0.130912 0.991394i \(-0.458209\pi\)
0.462094 + 0.886831i \(0.347098\pi\)
\(654\) −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 0.782245 0.622971i \(-0.214074\pi\)
−0.999672 + 0.0255942i \(0.991852\pi\)
\(660\) 0.00641882 0.00489550i 0.000249852 0.000190557i
\(661\) 29.6565 5.22925i 1.15351 0.203394i 0.436000 0.899947i \(-0.356395\pi\)
0.717506 + 0.696553i \(0.245284\pi\)
\(662\) 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 0.791942 0.610597i \(-0.209070\pi\)
−0.463801 + 0.885939i \(0.653515\pi\)
\(674\) 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 −0.686017 0.727585i \(-0.740643\pi\)
0.893494 0.449075i \(-0.148246\pi\)
\(678\) 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 −0.129490 0.991581i \(-0.541334\pi\)
0.793989 + 0.607932i \(0.208001\pi\)
\(684\) −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 −0.827127 0.562016i \(-0.810026\pi\)
0.697106 + 0.716968i \(0.254471\pi\)
\(692\) −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 \(0.0977973\pi\)
−0.953172 + 0.302428i \(0.902203\pi\)
\(702\) −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 −0.346328 0.938114i \(-0.612571\pi\)
0.337706 + 0.941252i \(0.390349\pi\)
\(710\) 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 0.323467 + 0.946239i \(0.395152\pi\)
−0.981201 + 0.192989i \(0.938182\pi\)
\(720\) −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 0.112229 0.993682i \(-0.464201\pi\)
0.959098 0.283075i \(-0.0913546\pi\)
\(728\) −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 −0.971115 0.238610i \(-0.923308\pi\)
−0.0663525 0.997796i \(-0.521136\pi\)
\(734\) 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 0.960868 0.277007i \(-0.0893426\pi\)
−0.439652 + 0.898168i \(0.644898\pi\)
\(744\) 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 0.766214 + 0.642585i \(0.222138\pi\)
−0.500229 + 0.865893i \(0.666751\pi\)
\(752\) −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 −0.892790 0.450474i \(-0.851255\pi\)
0.684877 0.728659i \(-0.259856\pi\)
\(762\) 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