Properties

Label 225.2.q.a.121.11
Level $225$
Weight $2$
Character 225.121
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [225,2,Mod(16,225)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(225, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([20, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("225.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), 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: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 121.11
Character \(\chi\) \(=\) 225.121
Dual form 225.2.q.a.106.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.750960 + 0.159622i) q^{2} +(-1.69865 + 0.338529i) q^{3} +(-1.28863 + 0.573734i) q^{4} +(-0.934384 + 2.03148i) q^{5} +(1.22158 - 0.525362i) q^{6} +(-1.54115 - 2.66935i) q^{7} +(2.11835 - 1.53907i) q^{8} +(2.77080 - 1.15008i) q^{9} +O(q^{10})\) \(q+(-0.750960 + 0.159622i) q^{2} +(-1.69865 + 0.338529i) q^{3} +(-1.28863 + 0.573734i) q^{4} +(-0.934384 + 2.03148i) q^{5} +(1.22158 - 0.525362i) q^{6} +(-1.54115 - 2.66935i) q^{7} +(2.11835 - 1.53907i) q^{8} +(2.77080 - 1.15008i) q^{9} +(0.377417 - 1.67471i) q^{10} +(2.10386 - 0.447190i) q^{11} +(1.99470 - 1.41081i) q^{12} +(-1.99041 - 0.423076i) q^{13} +(1.58343 + 1.75858i) q^{14} +(0.899473 - 3.76709i) q^{15} +(0.542593 - 0.602611i) q^{16} +(6.22843 - 4.52522i) q^{17} +(-1.89718 + 1.30594i) q^{18} +(-2.68599 + 1.95149i) q^{19} +(0.0385425 - 3.15392i) q^{20} +(3.52153 + 4.01256i) q^{21} +(-1.50854 + 0.671643i) q^{22} +(-3.89453 - 4.32531i) q^{23} +(-3.07731 + 3.33147i) q^{24} +(-3.25385 - 3.79637i) q^{25} +1.56225 q^{26} +(-4.31727 + 2.89157i) q^{27} +(3.51747 + 2.55559i) q^{28} +(-0.382713 + 3.64127i) q^{29} +(-0.0741604 + 2.97251i) q^{30} +(-0.995438 - 9.47096i) q^{31} +(-2.92971 + 5.07440i) q^{32} +(-3.42233 + 1.47183i) q^{33} +(-3.95498 + 4.39245i) q^{34} +(6.86278 - 0.636623i) q^{35} +(-2.91069 + 3.07173i) q^{36} +(-1.42994 - 4.40091i) q^{37} +(1.70557 - 1.89423i) q^{38} +(3.52423 + 0.0448436i) q^{39} +(1.14725 + 5.74149i) q^{40} +(8.46629 + 1.79957i) q^{41} +(-3.28502 - 2.45117i) q^{42} +(0.735688 + 1.27425i) q^{43} +(-2.45453 + 1.78332i) q^{44} +(-0.252620 + 6.70345i) q^{45} +(3.61505 + 2.62649i) q^{46} +(-0.121577 + 1.15673i) q^{47} +(-0.717673 + 1.20731i) q^{48} +(-1.25030 + 2.16559i) q^{49} +(3.04950 + 2.33154i) q^{50} +(-9.04798 + 9.79524i) q^{51} +(2.80764 - 0.596782i) q^{52} +(-5.64868 - 4.10401i) q^{53} +(2.78054 - 2.86059i) q^{54} +(-1.05736 + 4.69181i) q^{55} +(-7.37304 - 3.28269i) q^{56} +(3.90191 - 4.22417i) q^{57} +(-0.293823 - 2.79554i) q^{58} +(-0.193316 - 0.0410905i) q^{59} +(1.00222 + 5.37043i) q^{60} +(-0.235109 + 0.0499739i) q^{61} +(2.25930 + 6.95342i) q^{62} +(-7.34019 - 5.62379i) q^{63} +(0.888950 - 2.73591i) q^{64} +(2.71928 - 3.64818i) q^{65} +(2.33510 - 1.65157i) q^{66} +(-1.30455 - 12.4120i) q^{67} +(-5.42985 + 9.40478i) q^{68} +(8.07966 + 6.02876i) q^{69} +(-5.05206 + 1.57353i) q^{70} +(-5.29885 - 3.84984i) q^{71} +(4.09947 - 6.70074i) q^{72} +(-2.49299 + 7.67263i) q^{73} +(1.77631 + 3.07666i) q^{74} +(6.81232 + 5.34717i) q^{75} +(2.34161 - 4.05579i) q^{76} +(-4.43608 - 4.92677i) q^{77} +(-2.65372 + 0.528868i) q^{78} +(1.18352 - 11.2604i) q^{79} +(0.717204 + 1.66534i) q^{80} +(6.35463 - 6.37328i) q^{81} -6.64510 q^{82} +(-5.53451 - 2.46412i) q^{83} +(-6.84008 - 3.15028i) q^{84} +(3.37316 + 16.8812i) q^{85} +(-0.755870 - 0.839479i) q^{86} +(-0.582580 - 6.31478i) q^{87} +(3.76846 - 4.18530i) q^{88} +(-0.671050 + 2.06528i) q^{89} +(-0.880307 - 5.07435i) q^{90} +(1.93819 + 5.96515i) q^{91} +(7.50018 + 3.33929i) q^{92} +(4.89709 + 15.7508i) q^{93} +(-0.0933394 - 0.888065i) q^{94} +(-1.45467 - 7.27999i) q^{95} +(3.25870 - 9.61140i) q^{96} +(-1.64971 + 15.6960i) q^{97} +(0.593254 - 1.82585i) q^{98} +(5.31507 - 3.65868i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.750960 + 0.159622i −0.531009 + 0.112869i −0.465611 0.884990i \(-0.654165\pi\)
−0.0653986 + 0.997859i \(0.520832\pi\)
\(3\) −1.69865 + 0.338529i −0.980714 + 0.195450i
\(4\) −1.28863 + 0.573734i −0.644314 + 0.286867i
\(5\) −0.934384 + 2.03148i −0.417869 + 0.908507i
\(6\) 1.22158 0.525362i 0.498708 0.214478i
\(7\) −1.54115 2.66935i −0.582501 1.00892i −0.995182 0.0980456i \(-0.968741\pi\)
0.412681 0.910876i \(-0.364592\pi\)
\(8\) 2.11835 1.53907i 0.748951 0.544145i
\(9\) 2.77080 1.15008i 0.923599 0.383360i
\(10\) 0.377417 1.67471i 0.119350 0.529590i
\(11\) 2.10386 0.447190i 0.634338 0.134833i 0.120491 0.992714i \(-0.461553\pi\)
0.513847 + 0.857882i \(0.328220\pi\)
\(12\) 1.99470 1.41081i 0.575820 0.407266i
\(13\) −1.99041 0.423076i −0.552042 0.117340i −0.0765588 0.997065i \(-0.524393\pi\)
−0.475483 + 0.879725i \(0.657727\pi\)
\(14\) 1.58343 + 1.75858i 0.423190 + 0.470000i
\(15\) 0.899473 3.76709i 0.232243 0.972658i
\(16\) 0.542593 0.602611i 0.135648 0.150653i
\(17\) 6.22843 4.52522i 1.51062 1.09753i 0.544712 0.838623i \(-0.316639\pi\)
0.965903 0.258903i \(-0.0833609\pi\)
\(18\) −1.89718 + 1.30594i −0.447170 + 0.307814i
\(19\) −2.68599 + 1.95149i −0.616209 + 0.447702i −0.851595 0.524200i \(-0.824364\pi\)
0.235386 + 0.971902i \(0.424364\pi\)
\(20\) 0.0385425 3.15392i 0.00861836 0.705237i
\(21\) 3.52153 + 4.01256i 0.768460 + 0.875613i
\(22\) −1.50854 + 0.671643i −0.321621 + 0.143195i
\(23\) −3.89453 4.32531i −0.812065 0.901890i 0.184656 0.982803i \(-0.440883\pi\)
−0.996721 + 0.0809136i \(0.974216\pi\)
\(24\) −3.07731 + 3.33147i −0.628154 + 0.680032i
\(25\) −3.25385 3.79637i −0.650770 0.759275i
\(26\) 1.56225 0.306383
\(27\) −4.31727 + 2.89157i −0.830859 + 0.556484i
\(28\) 3.51747 + 2.55559i 0.664740 + 0.482962i
\(29\) −0.382713 + 3.64127i −0.0710679 + 0.676166i 0.899759 + 0.436386i \(0.143742\pi\)
−0.970827 + 0.239780i \(0.922925\pi\)
\(30\) −0.0741604 + 2.97251i −0.0135398 + 0.542703i
\(31\) −0.995438 9.47096i −0.178786 1.70103i −0.604849 0.796341i \(-0.706766\pi\)
0.426063 0.904694i \(-0.359900\pi\)
\(32\) −2.92971 + 5.07440i −0.517904 + 0.897035i
\(33\) −3.42233 + 1.47183i −0.595751 + 0.256213i
\(34\) −3.95498 + 4.39245i −0.678273 + 0.753299i
\(35\) 6.86278 0.636623i 1.16002 0.107609i
\(36\) −2.91069 + 3.07173i −0.485114 + 0.511955i
\(37\) −1.42994 4.40091i −0.235081 0.723505i −0.997111 0.0759630i \(-0.975797\pi\)
0.762029 0.647542i \(-0.224203\pi\)
\(38\) 1.70557 1.89423i 0.276681 0.307285i
\(39\) 3.52423 + 0.0448436i 0.564329 + 0.00718073i
\(40\) 1.14725 + 5.74149i 0.181396 + 0.907809i
\(41\) 8.46629 + 1.79957i 1.32221 + 0.281045i 0.814341 0.580387i \(-0.197099\pi\)
0.507872 + 0.861432i \(0.330432\pi\)
\(42\) −3.28502 2.45117i −0.506889 0.378223i
\(43\) 0.735688 + 1.27425i 0.112191 + 0.194321i 0.916654 0.399683i \(-0.130880\pi\)
−0.804462 + 0.594004i \(0.797546\pi\)
\(44\) −2.45453 + 1.78332i −0.370034 + 0.268845i
\(45\) −0.252620 + 6.70345i −0.0376584 + 0.999291i
\(46\) 3.61505 + 2.62649i 0.533010 + 0.387254i
\(47\) −0.121577 + 1.15673i −0.0177339 + 0.168727i −0.999804 0.0197884i \(-0.993701\pi\)
0.982070 + 0.188515i \(0.0603674\pi\)
\(48\) −0.717673 + 1.20731i −0.103587 + 0.174260i
\(49\) −1.25030 + 2.16559i −0.178615 + 0.309370i
\(50\) 3.04950 + 2.33154i 0.431264 + 0.329730i
\(51\) −9.04798 + 9.79524i −1.26697 + 1.37161i
\(52\) 2.80764 0.596782i 0.389349 0.0827588i
\(53\) −5.64868 4.10401i −0.775906 0.563729i 0.127842 0.991795i \(-0.459195\pi\)
−0.903747 + 0.428066i \(0.859195\pi\)
\(54\) 2.78054 2.86059i 0.378384 0.389276i
\(55\) −1.05736 + 4.69181i −0.142574 + 0.632643i
\(56\) −7.37304 3.28269i −0.985264 0.438668i
\(57\) 3.90191 4.22417i 0.516821 0.559505i
\(58\) −0.293823 2.79554i −0.0385808 0.367072i
\(59\) −0.193316 0.0410905i −0.0251676 0.00534953i 0.195311 0.980741i \(-0.437428\pi\)
−0.220478 + 0.975392i \(0.570762\pi\)
\(60\) 1.00222 + 5.37043i 0.129386 + 0.693320i
\(61\) −0.235109 + 0.0499739i −0.0301026 + 0.00639851i −0.222938 0.974833i \(-0.571565\pi\)
0.192836 + 0.981231i \(0.438232\pi\)
\(62\) 2.25930 + 6.95342i 0.286932 + 0.883085i
\(63\) −7.34019 5.62379i −0.924777 0.708531i
\(64\) 0.888950 2.73591i 0.111119 0.341988i
\(65\) 2.71928 3.64818i 0.337286 0.452501i
\(66\) 2.33510 1.65157i 0.287431 0.203294i
\(67\) −1.30455 12.4120i −0.159377 1.51637i −0.723297 0.690537i \(-0.757374\pi\)
0.563920 0.825829i \(-0.309293\pi\)
\(68\) −5.42985 + 9.40478i −0.658467 + 1.14050i
\(69\) 8.07966 + 6.02876i 0.972677 + 0.725778i
\(70\) −5.05206 + 1.57353i −0.603836 + 0.188072i
\(71\) −5.29885 3.84984i −0.628858 0.456892i 0.227146 0.973861i \(-0.427060\pi\)
−0.856004 + 0.516969i \(0.827060\pi\)
\(72\) 4.09947 6.70074i 0.483127 0.789690i
\(73\) −2.49299 + 7.67263i −0.291782 + 0.898013i 0.692501 + 0.721417i \(0.256509\pi\)
−0.984283 + 0.176597i \(0.943491\pi\)
\(74\) 1.77631 + 3.07666i 0.206492 + 0.357655i
\(75\) 6.81232 + 5.34717i 0.786619 + 0.617438i
\(76\) 2.34161 4.05579i 0.268601 0.465231i
\(77\) −4.43608 4.92677i −0.505538 0.561457i
\(78\) −2.65372 + 0.528868i −0.300474 + 0.0598825i
\(79\) 1.18352 11.2604i 0.133156 1.26689i −0.700116 0.714029i \(-0.746868\pi\)
0.833272 0.552864i \(-0.186465\pi\)
\(80\) 0.717204 + 1.66534i 0.0801858 + 0.186191i
\(81\) 6.35463 6.37328i 0.706070 0.708142i
\(82\) −6.64510 −0.733829
\(83\) −5.53451 2.46412i −0.607491 0.270472i 0.0798505 0.996807i \(-0.474556\pi\)
−0.687341 + 0.726334i \(0.741222\pi\)
\(84\) −6.84008 3.15028i −0.746314 0.343724i
\(85\) 3.37316 + 16.8812i 0.365870 + 1.83103i
\(86\) −0.755870 0.839479i −0.0815076 0.0905234i
\(87\) −0.582580 6.31478i −0.0624591 0.677016i
\(88\) 3.76846 4.18530i 0.401720 0.446155i
\(89\) −0.671050 + 2.06528i −0.0711312 + 0.218919i −0.980302 0.197504i \(-0.936716\pi\)
0.909171 + 0.416423i \(0.136716\pi\)
\(90\) −0.880307 5.07435i −0.0927925 0.534883i
\(91\) 1.93819 + 5.96515i 0.203178 + 0.625317i
\(92\) 7.50018 + 3.33929i 0.781948 + 0.348145i
\(93\) 4.89709 + 15.7508i 0.507804 + 1.63328i
\(94\) −0.0933394 0.888065i −0.00962723 0.0915969i
\(95\) −1.45467 7.27999i −0.149245 0.746911i
\(96\) 3.25870 9.61140i 0.332590 0.980959i
\(97\) −1.64971 + 15.6960i −0.167503 + 1.59368i 0.511325 + 0.859387i \(0.329155\pi\)
−0.678828 + 0.734297i \(0.737512\pi\)
\(98\) 0.593254 1.82585i 0.0599277 0.184438i
\(99\) 5.31507 3.65868i 0.534184 0.367711i
\(100\) 6.37112 + 3.02527i 0.637112 + 0.302527i
\(101\) −3.00231 5.20015i −0.298741 0.517434i 0.677107 0.735884i \(-0.263233\pi\)
−0.975848 + 0.218450i \(0.929900\pi\)
\(102\) 5.23114 8.80009i 0.517960 0.871339i
\(103\) 12.6259 5.62140i 1.24406 0.553893i 0.324147 0.946007i \(-0.394923\pi\)
0.919916 + 0.392114i \(0.128256\pi\)
\(104\) −4.86755 + 2.16717i −0.477302 + 0.212509i
\(105\) −11.4419 + 3.40464i −1.11662 + 0.332259i
\(106\) 4.89702 + 2.18030i 0.475641 + 0.211769i
\(107\) 8.62739 0.834041 0.417021 0.908897i \(-0.363074\pi\)
0.417021 + 0.908897i \(0.363074\pi\)
\(108\) 3.90436 6.20313i 0.375697 0.596896i
\(109\) −5.90681 18.1793i −0.565770 1.74126i −0.665654 0.746261i \(-0.731847\pi\)
0.0998844 0.994999i \(-0.468153\pi\)
\(110\) 0.0451199 3.69214i 0.00430201 0.352032i
\(111\) 3.91880 + 6.99151i 0.371956 + 0.663605i
\(112\) −2.44480 0.519659i −0.231012 0.0491031i
\(113\) 3.05589 + 0.649550i 0.287474 + 0.0611045i 0.349392 0.936977i \(-0.386388\pi\)
−0.0619175 + 0.998081i \(0.519722\pi\)
\(114\) −2.25591 + 3.79501i −0.211286 + 0.355436i
\(115\) 12.4258 3.87017i 1.15871 0.360895i
\(116\) −1.59595 4.91182i −0.148180 0.456051i
\(117\) −6.00161 + 1.11688i −0.554849 + 0.103256i
\(118\) 0.151731 0.0139680
\(119\) −21.6784 9.65183i −1.98725 0.884782i
\(120\) −3.89242 9.36438i −0.355328 0.854847i
\(121\) −5.82275 + 2.59245i −0.529341 + 0.235678i
\(122\) 0.168581 0.0750569i 0.0152626 0.00679533i
\(123\) −14.9904 0.190744i −1.35164 0.0171988i
\(124\) 6.71656 + 11.6334i 0.603165 + 1.04471i
\(125\) 10.7526 3.06287i 0.961743 0.273952i
\(126\) 6.40987 + 3.05159i 0.571037 + 0.271857i
\(127\) −0.645138 + 1.98553i −0.0572468 + 0.176187i −0.975591 0.219595i \(-0.929526\pi\)
0.918344 + 0.395782i \(0.129526\pi\)
\(128\) 0.994094 9.45817i 0.0878663 0.835992i
\(129\) −1.68104 1.91545i −0.148008 0.168646i
\(130\) −1.45975 + 3.17369i −0.128028 + 0.278351i
\(131\) 0.0987788 + 0.939817i 0.00863034 + 0.0821122i 0.997989 0.0633832i \(-0.0201890\pi\)
−0.989359 + 0.145495i \(0.953522\pi\)
\(132\) 3.56567 3.86015i 0.310352 0.335983i
\(133\) 9.34873 + 4.16232i 0.810638 + 0.360919i
\(134\) 2.96089 + 9.11268i 0.255782 + 0.787216i
\(135\) −1.84020 11.4723i −0.158379 0.987378i
\(136\) 6.22937 19.1720i 0.534164 1.64399i
\(137\) −4.39938 + 4.88600i −0.375864 + 0.417439i −0.901164 0.433478i \(-0.857286\pi\)
0.525300 + 0.850917i \(0.323953\pi\)
\(138\) −7.02983 3.23767i −0.598419 0.275609i
\(139\) 3.98464 + 4.42539i 0.337972 + 0.375356i 0.888042 0.459762i \(-0.152065\pi\)
−0.550070 + 0.835119i \(0.685399\pi\)
\(140\) −8.47832 + 4.75778i −0.716549 + 0.402106i
\(141\) −0.185070 2.00603i −0.0155857 0.168938i
\(142\) 4.59375 + 2.04527i 0.385499 + 0.171635i
\(143\) −4.37675 −0.366002
\(144\) 0.810365 2.29374i 0.0675304 0.191145i
\(145\) −7.03957 4.17982i −0.584605 0.347115i
\(146\) 0.647418 6.15978i 0.0535807 0.509787i
\(147\) 1.39071 4.10183i 0.114704 0.338313i
\(148\) 4.36762 + 4.85073i 0.359016 + 0.398728i
\(149\) −0.502162 + 0.869771i −0.0411387 + 0.0712544i −0.885862 0.463950i \(-0.846432\pi\)
0.844723 + 0.535204i \(0.179765\pi\)
\(150\) −5.96931 2.92812i −0.487392 0.239080i
\(151\) −2.55785 4.43032i −0.208155 0.360534i 0.742979 0.669315i \(-0.233412\pi\)
−0.951133 + 0.308781i \(0.900079\pi\)
\(152\) −2.68640 + 8.26788i −0.217896 + 0.670614i
\(153\) 12.0533 19.7016i 0.974455 1.59278i
\(154\) 4.11774 + 2.99171i 0.331817 + 0.241079i
\(155\) 20.1702 + 6.82730i 1.62011 + 0.548382i
\(156\) −4.56716 + 1.96419i −0.365665 + 0.157261i
\(157\) −9.66548 + 16.7411i −0.771390 + 1.33609i 0.165412 + 0.986225i \(0.447105\pi\)
−0.936801 + 0.349861i \(0.886229\pi\)
\(158\) 0.908629 + 8.64502i 0.0722866 + 0.687761i
\(159\) 10.9844 + 5.05901i 0.871122 + 0.401206i
\(160\) −7.57109 10.6931i −0.598547 0.845363i
\(161\) −5.54373 + 17.0618i −0.436907 + 1.34466i
\(162\) −3.75476 + 5.80042i −0.295002 + 0.455724i
\(163\) 2.96080 + 9.11239i 0.231907 + 0.713738i 0.997517 + 0.0704316i \(0.0224377\pi\)
−0.765609 + 0.643306i \(0.777562\pi\)
\(164\) −11.9424 + 2.53843i −0.932543 + 0.198218i
\(165\) 0.207765 8.32766i 0.0161745 0.648308i
\(166\) 4.54952 + 0.967031i 0.353111 + 0.0750561i
\(167\) 1.55155 + 14.7620i 0.120063 + 1.14232i 0.874187 + 0.485589i \(0.161395\pi\)
−0.754124 + 0.656732i \(0.771938\pi\)
\(168\) 13.6355 + 3.08014i 1.05200 + 0.237638i
\(169\) −8.09333 3.60338i −0.622564 0.277183i
\(170\) −5.22772 12.1387i −0.400948 0.930997i
\(171\) −5.19797 + 8.49628i −0.397499 + 0.649727i
\(172\) −1.67911 1.21994i −0.128031 0.0930199i
\(173\) 4.38960 0.933037i 0.333735 0.0709375i −0.0379966 0.999278i \(-0.512098\pi\)
0.371731 + 0.928340i \(0.378764\pi\)
\(174\) 1.44547 + 4.64916i 0.109581 + 0.352452i
\(175\) −5.11919 + 14.5365i −0.386974 + 1.09885i
\(176\) 0.872060 1.51045i 0.0657340 0.113855i
\(177\) 0.342285 + 0.00435536i 0.0257277 + 0.000327369i
\(178\) 0.174269 1.65806i 0.0130620 0.124277i
\(179\) −0.751808 0.546221i −0.0561928 0.0408265i 0.559334 0.828942i \(-0.311057\pi\)
−0.615527 + 0.788116i \(0.711057\pi\)
\(180\) −3.52046 8.78319i −0.262400 0.654660i
\(181\) 0.784552 0.570010i 0.0583153 0.0423685i −0.558246 0.829676i \(-0.688525\pi\)
0.616561 + 0.787307i \(0.288525\pi\)
\(182\) −2.40767 4.17021i −0.178469 0.309117i
\(183\) 0.382449 0.164479i 0.0282715 0.0121586i
\(184\) −14.9070 3.16857i −1.09896 0.233590i
\(185\) 10.2765 + 1.20724i 0.755543 + 0.0887579i
\(186\) −6.19169 11.0466i −0.453997 0.809973i
\(187\) 11.0801 12.3057i 0.810258 0.899883i
\(188\) −0.506988 1.56035i −0.0369759 0.113800i
\(189\) 14.3722 + 7.06796i 1.04542 + 0.514119i
\(190\) 2.25444 + 5.23479i 0.163554 + 0.379771i
\(191\) −9.36301 + 10.3987i −0.677483 + 0.752421i −0.979624 0.200842i \(-0.935632\pi\)
0.302140 + 0.953263i \(0.402299\pi\)
\(192\) −0.583829 + 4.94827i −0.0421342 + 0.357111i
\(193\) 3.40138 5.89137i 0.244837 0.424070i −0.717249 0.696817i \(-0.754599\pi\)
0.962086 + 0.272747i \(0.0879323\pi\)
\(194\) −1.26655 12.0504i −0.0909327 0.865167i
\(195\) −3.38409 + 7.11752i −0.242340 + 0.509696i
\(196\) 0.368704 3.50798i 0.0263360 0.250570i
\(197\) 6.91644 + 5.02509i 0.492776 + 0.358023i 0.806251 0.591574i \(-0.201493\pi\)
−0.313475 + 0.949596i \(0.601493\pi\)
\(198\) −3.40740 + 3.59592i −0.242153 + 0.255551i
\(199\) 12.3769 0.877375 0.438688 0.898640i \(-0.355444\pi\)
0.438688 + 0.898640i \(0.355444\pi\)
\(200\) −12.7357 3.03414i −0.900551 0.214546i
\(201\) 6.41779 + 20.6420i 0.452676 + 1.45597i
\(202\) 3.08467 + 3.42588i 0.217037 + 0.241044i
\(203\) 10.3097 4.59015i 0.723596 0.322166i
\(204\) 6.03961 17.8136i 0.422857 1.24720i
\(205\) −11.5666 + 15.5177i −0.807844 + 1.08380i
\(206\) −8.58423 + 6.23680i −0.598091 + 0.434539i
\(207\) −15.7654 7.50554i −1.09577 0.521671i
\(208\) −1.33494 + 0.969888i −0.0925612 + 0.0672496i
\(209\) −4.77827 + 5.30681i −0.330520 + 0.367079i
\(210\) 8.04897 4.38313i 0.555432 0.302465i
\(211\) −7.27264 8.07708i −0.500669 0.556049i 0.438844 0.898563i \(-0.355388\pi\)
−0.939513 + 0.342514i \(0.888722\pi\)
\(212\) 9.63366 + 2.04770i 0.661642 + 0.140636i
\(213\) 10.3042 + 4.74571i 0.706029 + 0.325170i
\(214\) −6.47883 + 1.37712i −0.442883 + 0.0941378i
\(215\) −3.27603 + 0.303900i −0.223424 + 0.0207258i
\(216\) −4.69515 + 12.7700i −0.319465 + 0.868886i
\(217\) −23.7472 + 17.2534i −1.61207 + 1.17123i
\(218\) 7.33758 + 12.7091i 0.496964 + 0.860767i
\(219\) 1.63730 13.8770i 0.110639 0.937723i
\(220\) −1.32931 6.65264i −0.0896221 0.448521i
\(221\) −14.3117 + 6.37196i −0.962706 + 0.428624i
\(222\) −4.05886 4.62483i −0.272413 0.310398i
\(223\) −20.1097 + 4.27444i −1.34664 + 0.286238i −0.824134 0.566395i \(-0.808338\pi\)
−0.522510 + 0.852633i \(0.675004\pi\)
\(224\) 18.0605 1.20672
\(225\) −13.3819 6.77679i −0.892126 0.451786i
\(226\) −2.39854 −0.159548
\(227\) −17.9839 + 3.82260i −1.19363 + 0.253715i −0.761542 0.648115i \(-0.775557\pi\)
−0.432091 + 0.901830i \(0.642224\pi\)
\(228\) −2.60457 + 7.68205i −0.172492 + 0.508756i
\(229\) 11.3448 5.05103i 0.749685 0.333781i 0.00392172 0.999992i \(-0.498752\pi\)
0.745763 + 0.666211i \(0.232085\pi\)
\(230\) −8.71351 + 4.88976i −0.574552 + 0.322421i
\(231\) 9.20318 + 6.86709i 0.605525 + 0.451821i
\(232\) 4.79346 + 8.30251i 0.314706 + 0.545087i
\(233\) 4.65048 3.37877i 0.304663 0.221351i −0.424940 0.905221i \(-0.639705\pi\)
0.729603 + 0.683871i \(0.239705\pi\)
\(234\) 4.32869 1.79672i 0.282975 0.117455i
\(235\) −2.23628 1.32781i −0.145879 0.0866170i
\(236\) 0.272687 0.0579614i 0.0177504 0.00377297i
\(237\) 1.80159 + 19.5281i 0.117026 + 1.26848i
\(238\) 17.8202 + 3.78781i 1.15511 + 0.245527i
\(239\) 14.1539 + 15.7195i 0.915540 + 1.01681i 0.999793 + 0.0203661i \(0.00648318\pi\)
−0.0842522 + 0.996444i \(0.526850\pi\)
\(240\) −1.78204 2.58603i −0.115030 0.166927i
\(241\) 5.77768 6.41676i 0.372173 0.413340i −0.527743 0.849404i \(-0.676961\pi\)
0.899915 + 0.436065i \(0.143628\pi\)
\(242\) 3.95884 2.87627i 0.254484 0.184893i
\(243\) −8.63673 + 12.9772i −0.554046 + 0.832486i
\(244\) 0.274296 0.199288i 0.0175600 0.0127581i
\(245\) −3.23109 4.56346i −0.206427 0.291549i
\(246\) 11.2877 2.24956i 0.719676 0.143426i
\(247\) 6.17186 2.74789i 0.392706 0.174844i
\(248\) −16.6852 18.5308i −1.05951 1.17671i
\(249\) 10.2353 + 2.31208i 0.648638 + 0.146522i
\(250\) −7.58589 + 4.01645i −0.479774 + 0.254022i
\(251\) −6.58070 −0.415370 −0.207685 0.978196i \(-0.566593\pi\)
−0.207685 + 0.978196i \(0.566593\pi\)
\(252\) 12.6853 + 3.03565i 0.799102 + 0.191228i
\(253\) −10.1278 7.35826i −0.636728 0.462610i
\(254\) 0.167540 1.59403i 0.0105124 0.100019i
\(255\) −11.4446 27.5333i −0.716688 1.72420i
\(256\) 1.36460 + 12.9833i 0.0852873 + 0.811455i
\(257\) 5.84297 10.1203i 0.364474 0.631288i −0.624217 0.781251i \(-0.714582\pi\)
0.988692 + 0.149963i \(0.0479153\pi\)
\(258\) 1.56814 + 1.17009i 0.0976284 + 0.0728469i
\(259\) −9.54383 + 10.5995i −0.593025 + 0.658621i
\(260\) −1.41106 + 6.26129i −0.0875103 + 0.388309i
\(261\) 3.12733 + 10.5294i 0.193577 + 0.651751i
\(262\) −0.224194 0.689998i −0.0138508 0.0426282i
\(263\) 13.0953 14.5438i 0.807492 0.896811i −0.188873 0.982002i \(-0.560483\pi\)
0.996365 + 0.0851910i \(0.0271500\pi\)
\(264\) −4.98444 + 8.38508i −0.306771 + 0.516066i
\(265\) 13.6153 7.64048i 0.836379 0.469351i
\(266\) −7.68493 1.63348i −0.471193 0.100155i
\(267\) 0.440720 3.73535i 0.0269716 0.228600i
\(268\) 8.80227 + 15.2460i 0.537684 + 0.931297i
\(269\) −3.43410 + 2.49502i −0.209381 + 0.152124i −0.687534 0.726153i \(-0.741307\pi\)
0.478153 + 0.878277i \(0.341307\pi\)
\(270\) 3.21314 + 8.32151i 0.195546 + 0.506431i
\(271\) 11.4304 + 8.30468i 0.694348 + 0.504473i 0.878087 0.478502i \(-0.158820\pi\)
−0.183739 + 0.982975i \(0.558820\pi\)
\(272\) 0.652558 6.20867i 0.0395671 0.376456i
\(273\) −5.31168 9.47654i −0.321477 0.573546i
\(274\) 2.52385 4.37143i 0.152471 0.264088i
\(275\) −8.54335 6.53196i −0.515183 0.393892i
\(276\) −13.8706 3.13325i −0.834912 0.188600i
\(277\) 12.7809 2.71665i 0.767927 0.163228i 0.192740 0.981250i \(-0.438263\pi\)
0.575187 + 0.818022i \(0.304929\pi\)
\(278\) −3.69869 2.68726i −0.221833 0.161171i
\(279\) −13.6505 25.0973i −0.817235 1.50253i
\(280\) 13.5580 11.9109i 0.810245 0.711813i
\(281\) 14.9151 + 6.64062i 0.889759 + 0.396146i 0.800128 0.599829i \(-0.204765\pi\)
0.0896305 + 0.995975i \(0.471431\pi\)
\(282\) 0.459186 + 1.47691i 0.0273441 + 0.0879487i
\(283\) 0.500115 + 4.75828i 0.0297288 + 0.282850i 0.999279 + 0.0379590i \(0.0120856\pi\)
−0.969551 + 0.244891i \(0.921248\pi\)
\(284\) 9.03704 + 1.92088i 0.536250 + 0.113983i
\(285\) 4.93544 + 11.8737i 0.292351 + 0.703336i
\(286\) 3.28677 0.698624i 0.194351 0.0413105i
\(287\) −8.24417 25.3729i −0.486638 1.49772i
\(288\) −2.28165 + 17.4295i −0.134448 + 1.02704i
\(289\) 13.0624 40.2020i 0.768377 2.36482i
\(290\) 5.95363 + 2.01521i 0.349609 + 0.118337i
\(291\) −2.51126 27.2204i −0.147212 1.59569i
\(292\) −1.18952 11.3175i −0.0696111 0.662305i
\(293\) 14.9796 25.9455i 0.875119 1.51575i 0.0184836 0.999829i \(-0.494116\pi\)
0.856636 0.515922i \(-0.172551\pi\)
\(294\) −0.389627 + 3.30230i −0.0227235 + 0.192594i
\(295\) 0.264106 0.354323i 0.0153768 0.0206295i
\(296\) −9.80245 7.12190i −0.569756 0.413952i
\(297\) −7.78985 + 8.01411i −0.452013 + 0.465026i
\(298\) 0.238270 0.733319i 0.0138026 0.0424800i
\(299\) 5.92179 + 10.2568i 0.342466 + 0.593168i
\(300\) −11.8464 2.98206i −0.683953 0.172169i
\(301\) 2.26762 3.92763i 0.130703 0.226385i
\(302\) 2.62802 + 2.91871i 0.151225 + 0.167953i
\(303\) 6.86026 + 7.81685i 0.394112 + 0.449066i
\(304\) −0.281414 + 2.67747i −0.0161402 + 0.153564i
\(305\) 0.118161 0.524315i 0.00676587 0.0300222i
\(306\) −5.90677 + 16.7191i −0.337668 + 0.955769i
\(307\) −15.7491 −0.898850 −0.449425 0.893318i \(-0.648371\pi\)
−0.449425 + 0.893318i \(0.648371\pi\)
\(308\) 8.54311 + 3.80364i 0.486789 + 0.216732i
\(309\) −19.5439 + 13.8230i −1.11181 + 0.786362i
\(310\) −16.2368 1.90743i −0.922189 0.108335i
\(311\) −3.78422 4.20281i −0.214584 0.238319i 0.626237 0.779632i \(-0.284594\pi\)
−0.840821 + 0.541313i \(0.817927\pi\)
\(312\) 7.53459 5.32906i 0.426562 0.301699i
\(313\) −1.17569 + 1.30574i −0.0664539 + 0.0738045i −0.775455 0.631403i \(-0.782479\pi\)
0.709001 + 0.705207i \(0.249146\pi\)
\(314\) 4.58615 14.1147i 0.258812 0.796540i
\(315\) 18.2832 9.65670i 1.03014 0.544093i
\(316\) 4.93536 + 15.1895i 0.277636 + 0.854475i
\(317\) 19.5170 + 8.68952i 1.09618 + 0.488052i 0.873493 0.486837i \(-0.161849\pi\)
0.222690 + 0.974889i \(0.428516\pi\)
\(318\) −9.05640 2.04577i −0.507858 0.114721i
\(319\) 0.823162 + 7.83187i 0.0460882 + 0.438500i
\(320\) 4.72733 + 4.36228i 0.264266 + 0.243859i
\(321\) −14.6549 + 2.92062i −0.817956 + 0.163013i
\(322\) 1.43968 13.6977i 0.0802304 0.763341i
\(323\) −7.89860 + 24.3094i −0.439490 + 1.35261i
\(324\) −4.53219 + 11.8587i −0.251788 + 0.658814i
\(325\) 4.87036 + 8.93298i 0.270159 + 0.495513i
\(326\) −3.67797 6.37044i −0.203704 0.352826i
\(327\) 16.1878 + 28.8805i 0.895186 + 1.59710i
\(328\) 20.7043 9.21814i 1.14320 0.508986i
\(329\) 3.27509 1.45817i 0.180562 0.0803913i
\(330\) 1.17325 + 6.28691i 0.0645854 + 0.346083i
\(331\) −17.7867 7.91914i −0.977644 0.435275i −0.145211 0.989401i \(-0.546386\pi\)
−0.832433 + 0.554126i \(0.813053\pi\)
\(332\) 8.54567 0.469005
\(333\) −9.02348 10.5495i −0.494484 0.578108i
\(334\) −3.52150 10.8381i −0.192688 0.593032i
\(335\) 26.4337 + 8.94740i 1.44423 + 0.488849i
\(336\) 4.32877 + 0.0550809i 0.236154 + 0.00300491i
\(337\) −28.0885 5.97039i −1.53008 0.325228i −0.635485 0.772113i \(-0.719200\pi\)
−0.894591 + 0.446886i \(0.852533\pi\)
\(338\) 6.65295 + 1.41413i 0.361873 + 0.0769184i
\(339\) −5.41077 0.0688486i −0.293873 0.00373934i
\(340\) −14.0321 19.8183i −0.760997 1.07480i
\(341\) −6.32958 19.4804i −0.342766 1.05492i
\(342\) 2.54728 7.21008i 0.137741 0.389876i
\(343\) −13.8685 −0.748829
\(344\) 3.51961 + 1.56703i 0.189765 + 0.0844887i
\(345\) −19.7968 + 10.7805i −1.06583 + 0.580404i
\(346\) −3.14748 + 1.40135i −0.169210 + 0.0753369i
\(347\) −7.39283 + 3.29150i −0.396868 + 0.176697i −0.595459 0.803385i \(-0.703030\pi\)
0.198591 + 0.980082i \(0.436363\pi\)
\(348\) 4.37374 + 7.80316i 0.234457 + 0.418293i
\(349\) −8.94831 15.4989i −0.478992 0.829639i 0.520718 0.853729i \(-0.325664\pi\)
−0.999710 + 0.0240902i \(0.992331\pi\)
\(350\) 1.52397 11.7334i 0.0814597 0.627179i
\(351\) 9.81651 3.92890i 0.523966 0.209709i
\(352\) −3.89448 + 11.9860i −0.207576 + 0.638854i
\(353\) 1.58045 15.0370i 0.0841188 0.800337i −0.868401 0.495862i \(-0.834852\pi\)
0.952520 0.304475i \(-0.0984811\pi\)
\(354\) −0.257738 + 0.0513654i −0.0136986 + 0.00273004i
\(355\) 12.7721 7.16730i 0.677870 0.380401i
\(356\) −0.320188 3.04638i −0.0169699 0.161458i
\(357\) 40.0913 + 9.05630i 2.12186 + 0.479310i
\(358\) 0.651767 + 0.290185i 0.0344470 + 0.0153368i
\(359\) −5.02999 15.4807i −0.265473 0.817042i −0.991584 0.129464i \(-0.958674\pi\)
0.726111 0.687577i \(-0.241326\pi\)
\(360\) 9.78196 + 14.5891i 0.515555 + 0.768911i
\(361\) −2.46507 + 7.58672i −0.129741 + 0.399301i
\(362\) −0.498182 + 0.553287i −0.0261838 + 0.0290801i
\(363\) 9.01316 6.37483i 0.473068 0.334592i
\(364\) −5.92002 6.57485i −0.310293 0.344616i
\(365\) −13.2574 12.2337i −0.693925 0.640339i
\(366\) −0.260950 + 0.184564i −0.0136401 + 0.00964734i
\(367\) 11.3366 + 5.04737i 0.591764 + 0.263470i 0.680694 0.732568i \(-0.261678\pi\)
−0.0889303 + 0.996038i \(0.528345\pi\)
\(368\) −4.71962 −0.246027
\(369\) 25.5280 4.75069i 1.32894 0.247311i
\(370\) −7.90994 + 0.733762i −0.411218 + 0.0381465i
\(371\) −2.24957 + 21.4032i −0.116792 + 1.11120i
\(372\) −15.3473 17.4873i −0.795721 0.906676i
\(373\) −21.0233 23.3487i −1.08854 1.20895i −0.976561 0.215240i \(-0.930947\pi\)
−0.111983 0.993710i \(-0.535720\pi\)
\(374\) −6.35647 + 11.0097i −0.328685 + 0.569300i
\(375\) −17.2280 + 8.84281i −0.889651 + 0.456641i
\(376\) 1.52275 + 2.63748i 0.0785299 + 0.136018i
\(377\) 2.30229 7.08571i 0.118574 0.364933i
\(378\) −11.9212 3.01365i −0.613158 0.155005i
\(379\) 18.1814 + 13.2096i 0.933915 + 0.678529i 0.946948 0.321386i \(-0.104149\pi\)
−0.0130329 + 0.999915i \(0.504149\pi\)
\(380\) 6.05130 + 8.54661i 0.310425 + 0.438432i
\(381\) 0.423702 3.59111i 0.0217069 0.183978i
\(382\) 5.37139 9.30353i 0.274824 0.476010i
\(383\) 2.04712 + 19.4770i 0.104603 + 0.995230i 0.913378 + 0.407112i \(0.133464\pi\)
−0.808775 + 0.588118i \(0.799869\pi\)
\(384\) 1.51325 + 16.4026i 0.0772226 + 0.837043i
\(385\) 14.1536 4.40833i 0.721337 0.224669i
\(386\) −1.61391 + 4.96712i −0.0821461 + 0.252820i
\(387\) 3.50393 + 2.68459i 0.178115 + 0.136465i
\(388\) −6.87945 21.1728i −0.349251 1.07488i
\(389\) 27.8479 5.91925i 1.41194 0.300118i 0.562064 0.827094i \(-0.310008\pi\)
0.849880 + 0.526976i \(0.176674\pi\)
\(390\) 1.40521 5.88515i 0.0711554 0.298006i
\(391\) −43.8297 9.31630i −2.21657 0.471145i
\(392\) 0.684417 + 6.51179i 0.0345683 + 0.328895i
\(393\) −0.485945 1.56298i −0.0245127 0.0788418i
\(394\) −5.99608 2.66963i −0.302078 0.134494i
\(395\) 21.7694 + 12.9258i 1.09534 + 0.650369i
\(396\) −4.75004 + 7.76412i −0.238698 + 0.390162i
\(397\) 26.7333 + 19.4229i 1.34171 + 0.974807i 0.999379 + 0.0352262i \(0.0112152\pi\)
0.342327 + 0.939581i \(0.388785\pi\)
\(398\) −9.29456 + 1.97562i −0.465894 + 0.0990289i
\(399\) −17.2893 3.90550i −0.865545 0.195520i
\(400\) −4.05325 0.0990806i −0.202663 0.00495403i
\(401\) 7.60381 13.1702i 0.379716 0.657688i −0.611305 0.791395i \(-0.709355\pi\)
0.991021 + 0.133707i \(0.0426883\pi\)
\(402\) −8.11441 14.4769i −0.404710 0.722041i
\(403\) −2.02560 + 19.2723i −0.100902 + 0.960020i
\(404\) 6.85237 + 4.97854i 0.340918 + 0.247691i
\(405\) 7.00954 + 18.8644i 0.348307 + 0.937381i
\(406\) −7.00945 + 5.09267i −0.347873 + 0.252745i
\(407\) −4.97644 8.61945i −0.246673 0.427250i
\(408\) −4.09121 + 34.6753i −0.202545 + 1.71668i
\(409\) 6.63574 + 1.41047i 0.328116 + 0.0697432i 0.369024 0.929420i \(-0.379692\pi\)
−0.0409084 + 0.999163i \(0.513025\pi\)
\(410\) 6.20908 13.4994i 0.306645 0.666689i
\(411\) 5.81893 9.78891i 0.287027 0.482851i
\(412\) −13.0449 + 14.4878i −0.642674 + 0.713762i
\(413\) 0.188244 + 0.579355i 0.00926287 + 0.0285082i
\(414\) 13.0372 + 3.11986i 0.640745 + 0.153333i
\(415\) 10.1772 8.94082i 0.499578 0.438888i
\(416\) 7.97818 8.86067i 0.391163 0.434430i
\(417\) −8.26661 6.16825i −0.404817 0.302061i
\(418\) 2.74121 4.74792i 0.134077 0.232228i
\(419\) −2.96511 28.2111i −0.144855 1.37820i −0.789514 0.613733i \(-0.789667\pi\)
0.644659 0.764470i \(-0.276999\pi\)
\(420\) 12.7910 10.9519i 0.624138 0.534400i
\(421\) 1.15103 10.9513i 0.0560976 0.533733i −0.929999 0.367561i \(-0.880193\pi\)
0.986097 0.166171i \(-0.0531405\pi\)
\(422\) 6.75074 + 4.90470i 0.328621 + 0.238757i
\(423\) 0.993467 + 3.34489i 0.0483040 + 0.162634i
\(424\) −18.2823 −0.887866
\(425\) −37.4458 8.92105i −1.81639 0.432734i
\(426\) −8.49553 1.91907i −0.411610 0.0929793i
\(427\) 0.495737 + 0.550572i 0.0239904 + 0.0266440i
\(428\) −11.1175 + 4.94983i −0.537385 + 0.239259i
\(429\) 7.43455 1.48166i 0.358944 0.0715350i
\(430\) 2.41166 0.751142i 0.116301 0.0362233i
\(431\) 2.54049 1.84577i 0.122371 0.0889077i −0.524916 0.851154i \(-0.675903\pi\)
0.647287 + 0.762246i \(0.275903\pi\)
\(432\) −0.600027 + 4.17058i −0.0288688 + 0.200657i
\(433\) 5.14241 3.73618i 0.247129 0.179549i −0.457325 0.889300i \(-0.651192\pi\)
0.704453 + 0.709750i \(0.251192\pi\)
\(434\) 15.0792 16.7472i 0.723826 0.803890i
\(435\) 13.3727 + 4.71693i 0.641173 + 0.226160i
\(436\) 18.0418 + 20.0374i 0.864044 + 0.959618i
\(437\) 18.9015 + 4.01763i 0.904179 + 0.192189i
\(438\) 0.985525 + 10.6824i 0.0470902 + 0.510427i
\(439\) −8.69090 + 1.84731i −0.414794 + 0.0881671i −0.410581 0.911824i \(-0.634674\pi\)
−0.00421247 + 0.999991i \(0.501341\pi\)
\(440\) 4.98118 + 11.5663i 0.237469 + 0.551400i
\(441\) −0.973735 + 7.43836i −0.0463683 + 0.354207i
\(442\) 9.73039 7.06954i 0.462827 0.336264i
\(443\) 11.9049 + 20.6199i 0.565618 + 0.979679i 0.996992 + 0.0775061i \(0.0246957\pi\)
−0.431374 + 0.902173i \(0.641971\pi\)
\(444\) −9.06115 6.76111i −0.430023 0.320868i
\(445\) −3.56856 3.29299i −0.169166 0.156103i
\(446\) 14.4193 6.41988i 0.682773 0.303990i
\(447\) 0.558554 1.64743i 0.0264187 0.0779207i
\(448\) −8.67311 + 1.84353i −0.409766 + 0.0870985i
\(449\) −38.5889 −1.82112 −0.910561 0.413375i \(-0.864350\pi\)
−0.910561 + 0.413375i \(0.864350\pi\)
\(450\) 11.1310 + 2.95306i 0.524720 + 0.139209i
\(451\) 18.6167 0.876624
\(452\) −4.31058 + 0.916242i −0.202753 + 0.0430964i
\(453\) 5.84466 + 6.65964i 0.274606 + 0.312897i
\(454\) 12.8950 5.74124i 0.605194 0.269450i
\(455\) −13.9291 1.63633i −0.653007 0.0767124i
\(456\) 1.76432 14.9536i 0.0826220 0.700267i
\(457\) −11.3704 19.6941i −0.531884 0.921250i −0.999307 0.0372166i \(-0.988151\pi\)
0.467423 0.884034i \(-0.345182\pi\)
\(458\) −7.71324 + 5.60399i −0.360416 + 0.261857i
\(459\) −13.8048 + 37.5465i −0.644352 + 1.75252i
\(460\) −13.7918 + 12.1163i −0.643045 + 0.564926i
\(461\) −1.18583 + 0.252056i −0.0552297 + 0.0117394i −0.235444 0.971888i \(-0.575654\pi\)
0.180214 + 0.983627i \(0.442321\pi\)
\(462\) −8.00736 3.68789i −0.372536 0.171576i
\(463\) 10.9272 + 2.32264i 0.507828 + 0.107942i 0.454698 0.890646i \(-0.349747\pi\)
0.0531294 + 0.998588i \(0.483080\pi\)
\(464\) 1.98661 + 2.20635i 0.0922261 + 0.102427i
\(465\) −36.5733 4.76897i −1.69605 0.221156i
\(466\) −2.95300 + 3.27964i −0.136795 + 0.151926i
\(467\) −28.0248 + 20.3612i −1.29683 + 0.942204i −0.999919 0.0127009i \(-0.995957\pi\)
−0.296913 + 0.954905i \(0.595957\pi\)
\(468\) 7.09305 4.88257i 0.327876 0.225697i
\(469\) −31.1215 + 22.6111i −1.43706 + 1.04408i
\(470\) 1.89131 + 0.640177i 0.0872394 + 0.0295292i
\(471\) 10.7509 31.7093i 0.495375 1.46109i
\(472\) −0.472752 + 0.210483i −0.0217602 + 0.00968826i
\(473\) 2.11762 + 2.35185i 0.0973681 + 0.108138i
\(474\) −4.47003 14.3772i −0.205315 0.660369i
\(475\) 16.1484 + 3.84718i 0.740939 + 0.176521i
\(476\) 33.4729 1.53423
\(477\) −20.3713 4.87493i −0.932737 0.223208i
\(478\) −13.1382 9.54546i −0.600927 0.436599i
\(479\) −4.32087 + 41.1104i −0.197426 + 1.87838i 0.228390 + 0.973570i \(0.426654\pi\)
−0.425815 + 0.904810i \(0.640013\pi\)
\(480\) 16.4805 + 15.6007i 0.752229 + 0.712073i
\(481\) 0.984260 + 9.36461i 0.0448784 + 0.426990i
\(482\) −3.31455 + 5.74097i −0.150974 + 0.261494i
\(483\) 3.64091 30.8587i 0.165667 1.40412i
\(484\) 6.01598 6.68142i 0.273453 0.303701i
\(485\) −30.3446 18.0174i −1.37788 0.818129i
\(486\) 4.41441 11.1239i 0.200242 0.504593i
\(487\) −1.47545 4.54096i −0.0668589 0.205771i 0.912046 0.410089i \(-0.134502\pi\)
−0.978905 + 0.204318i \(0.934502\pi\)
\(488\) −0.421130 + 0.467712i −0.0190637 + 0.0211723i
\(489\) −8.11415 14.4764i −0.366934 0.654646i
\(490\) 3.15485 + 2.91123i 0.142522 + 0.131516i
\(491\) 35.2447 + 7.49150i 1.59057 + 0.338087i 0.916330 0.400424i \(-0.131137\pi\)
0.674242 + 0.738510i \(0.264470\pi\)
\(492\) 19.4265 8.35473i 0.875816 0.376660i
\(493\) 14.0938 + 24.4112i 0.634754 + 1.09943i
\(494\) −4.19620 + 3.04872i −0.188796 + 0.137168i
\(495\) 2.46623 + 14.2161i 0.110849 + 0.638966i
\(496\) −6.24742 4.53902i −0.280518 0.203808i
\(497\) −2.11025 + 20.0777i −0.0946578 + 0.900608i
\(498\) −8.05539 0.102500i −0.360971 0.00459312i
\(499\) 4.85852 8.41520i 0.217497 0.376716i −0.736545 0.676388i \(-0.763544\pi\)
0.954042 + 0.299673i \(0.0968774\pi\)
\(500\) −12.0989 + 10.1161i −0.541077 + 0.452404i
\(501\) −7.63291 24.5502i −0.341013 1.09682i
\(502\) 4.94185 1.05042i 0.220565 0.0468826i
\(503\) −2.45420 1.78308i −0.109427 0.0795036i 0.531726 0.846917i \(-0.321544\pi\)
−0.641153 + 0.767413i \(0.721544\pi\)
\(504\) −24.2046 0.616075i −1.07816 0.0274422i
\(505\) 13.3693 1.24020i 0.594928 0.0551882i
\(506\) 8.78010 + 3.90915i 0.390323 + 0.173783i
\(507\) 14.9676 + 3.38105i 0.664733 + 0.150158i
\(508\) −0.307824 2.92875i −0.0136575 0.129942i
\(509\) 11.0397 + 2.34655i 0.489325 + 0.104009i 0.445965 0.895050i \(-0.352861\pi\)
0.0433596 + 0.999060i \(0.486194\pi\)
\(510\) 12.9893 + 18.8496i 0.575178 + 0.834676i
\(511\) 24.3230 5.17002i 1.07599 0.228708i
\(512\) 2.78050 + 8.55750i 0.122882 + 0.378192i
\(513\) 5.95328 16.1918i 0.262844 0.714887i
\(514\) −2.77242 + 8.53262i −0.122286 + 0.376358i
\(515\) −0.377636 + 30.9018i −0.0166406 + 1.36169i
\(516\) 3.26520 + 1.50383i 0.143742 + 0.0662023i
\(517\) 0.261496 + 2.48797i 0.0115006 + 0.109421i
\(518\) 5.47513 9.48321i 0.240563 0.416668i
\(519\) −7.14051 + 3.07090i −0.313434 + 0.134798i
\(520\) 0.145587 11.9133i 0.00638441 0.522433i
\(521\) 23.1526 + 16.8213i 1.01433 + 0.736956i 0.965114 0.261832i \(-0.0843266\pi\)
0.0492197 + 0.998788i \(0.484327\pi\)
\(522\) −4.02922 7.40794i −0.176354 0.324237i
\(523\) 2.37046 7.29554i 0.103653 0.319012i −0.885759 0.464146i \(-0.846361\pi\)
0.989412 + 0.145134i \(0.0463614\pi\)
\(524\) −0.666495 1.15440i −0.0291160 0.0504303i
\(525\) 3.77467 26.4253i 0.164740 1.15330i
\(526\) −7.51256 + 13.0121i −0.327563 + 0.567356i
\(527\) −49.0581 54.4846i −2.13701 2.37339i
\(528\) −0.969990 + 2.86094i −0.0422134 + 0.124506i
\(529\) −1.13682 + 10.8161i −0.0494268 + 0.470264i
\(530\) −9.00494 + 7.91099i −0.391149 + 0.343631i
\(531\) −0.582896 + 0.108475i −0.0252955 + 0.00470742i
\(532\) −14.4351 −0.625841
\(533\) −16.0901 7.16377i −0.696939 0.310297i
\(534\) 0.265279 + 2.87545i 0.0114797 + 0.124433i
\(535\) −8.06130 + 17.5264i −0.348520 + 0.757732i
\(536\) −21.8665 24.2852i −0.944488 1.04896i
\(537\) 1.46197 + 0.673327i 0.0630886 + 0.0290562i
\(538\) 2.18062 2.42182i 0.0940130 0.104412i
\(539\) −1.66204 + 5.11522i −0.0715890 + 0.220328i
\(540\) 8.95338 + 13.7277i 0.385292 + 0.590748i
\(541\) 12.1397 + 37.3621i 0.521926 + 1.60632i 0.770316 + 0.637662i \(0.220098\pi\)
−0.248390 + 0.968660i \(0.579902\pi\)
\(542\) −9.90939 4.41195i −0.425645 0.189509i
\(543\) −1.13971 + 1.23384i −0.0489097 + 0.0529491i
\(544\) 4.71530 + 44.8631i 0.202167 + 1.92349i
\(545\) 42.4501 + 4.98686i 1.81836 + 0.213614i
\(546\) 5.50152 + 6.26865i 0.235443 + 0.268273i
\(547\) 0.0902248 0.858432i 0.00385773 0.0367039i −0.992424 0.122863i \(-0.960793\pi\)
0.996281 + 0.0861587i \(0.0274592\pi\)
\(548\) 2.86589 8.82032i 0.122425 0.376785i
\(549\) −0.593965 + 0.408862i −0.0253498 + 0.0174498i
\(550\) 7.45836 + 3.54154i 0.318025 + 0.151012i
\(551\) −6.07792 10.5273i −0.258928 0.448477i
\(552\) 26.3943 + 0.335851i 1.12342 + 0.0142948i
\(553\) −31.8820 + 14.1948i −1.35576 + 0.603623i
\(554\) −9.16428 + 4.08020i −0.389353 + 0.173351i
\(555\) −17.8648 + 1.42822i −0.758319 + 0.0606245i
\(556\) −7.67371 3.41656i −0.325438 0.144894i
\(557\) −17.9941 −0.762437 −0.381218 0.924485i \(-0.624495\pi\)
−0.381218 + 0.924485i \(0.624495\pi\)
\(558\) 14.2571 + 16.6681i 0.603550 + 0.705618i
\(559\) −0.925221 2.84754i −0.0391327 0.120438i
\(560\) 3.34006 4.48101i 0.141143 0.189357i
\(561\) −14.6554 + 24.6540i −0.618750 + 1.04089i
\(562\) −12.2606 2.60607i −0.517183 0.109931i
\(563\) −10.6898 2.27219i −0.450521 0.0957612i −0.0229373 0.999737i \(-0.507302\pi\)
−0.427584 + 0.903976i \(0.640635\pi\)
\(564\) 1.38942 + 2.47885i 0.0585050 + 0.104378i
\(565\) −4.17493 + 5.60107i −0.175641 + 0.235639i
\(566\) −1.13509 3.49345i −0.0477114 0.146841i
\(567\) −26.8060 7.14057i −1.12575 0.299876i
\(568\) −17.1500 −0.719599
\(569\) −3.23472 1.44019i −0.135606 0.0603759i 0.337812 0.941214i \(-0.390313\pi\)
−0.473418 + 0.880838i \(0.656980\pi\)
\(570\) −5.60162 8.12886i −0.234626 0.340480i
\(571\) 21.9586 9.77660i 0.918939 0.409138i 0.107921 0.994159i \(-0.465581\pi\)
0.811018 + 0.585022i \(0.198914\pi\)
\(572\) 5.64001 2.51109i 0.235821 0.104994i
\(573\) 12.3842 20.8333i 0.517357 0.870324i
\(574\) 10.2411 + 17.7381i 0.427456 + 0.740375i
\(575\) −3.74828 + 28.8590i −0.156314 + 1.20350i
\(576\) −0.683413 8.60300i −0.0284755 0.358459i
\(577\) 0.345780 1.06420i 0.0143950 0.0443033i −0.943601 0.331085i \(-0.892585\pi\)
0.957996 + 0.286782i \(0.0925854\pi\)
\(578\) −3.39225 + 32.2751i −0.141099 + 1.34247i
\(579\) −3.78335 + 11.1588i −0.157231 + 0.463744i
\(580\) 11.4695 + 1.34739i 0.476245 + 0.0559472i
\(581\) 1.95191 + 18.5711i 0.0809787 + 0.770461i
\(582\) 6.23081 + 20.0406i 0.258275 + 0.830708i
\(583\) −13.7193 6.10823i −0.568196 0.252977i
\(584\) 6.52771 + 20.0902i 0.270119 + 0.831340i
\(585\) 3.33888 13.2358i 0.138046 0.547231i
\(586\) −7.10765 + 21.8751i −0.293614 + 0.903652i
\(587\) 19.5420 21.7036i 0.806587 0.895805i −0.189705 0.981841i \(-0.560753\pi\)
0.996292 + 0.0860359i \(0.0274200\pi\)
\(588\) 0.561255 + 6.08364i 0.0231458 + 0.250885i
\(589\) 21.1562 + 23.4963i 0.871725 + 0.968149i
\(590\) −0.141775 + 0.308240i −0.00583680 + 0.0126900i
\(591\) −13.4497 6.19443i −0.553247 0.254805i
\(592\) −3.42792 1.52621i −0.140886 0.0627267i
\(593\) 11.3423 0.465772 0.232886 0.972504i \(-0.425183\pi\)
0.232886 + 0.972504i \(0.425183\pi\)
\(594\) 4.57065 7.26171i 0.187536 0.297951i
\(595\) 39.8635 35.0207i 1.63424 1.43571i
\(596\) 0.148083 1.40892i 0.00606573 0.0577116i
\(597\) −21.0240 + 4.18993i −0.860454 + 0.171483i
\(598\) −6.08424 6.75724i −0.248803 0.276324i
\(599\) −14.7936 + 25.6233i −0.604450 + 1.04694i 0.387688 + 0.921791i \(0.373274\pi\)
−0.992138 + 0.125148i \(0.960060\pi\)
\(600\) 22.6606 + 0.842535i 0.925115 + 0.0343964i
\(601\) 3.62053 + 6.27094i 0.147684 + 0.255797i 0.930371 0.366619i \(-0.119485\pi\)
−0.782687 + 0.622416i \(0.786151\pi\)
\(602\) −1.07596 + 3.31145i −0.0438527 + 0.134965i
\(603\) −17.8894 32.8908i −0.728515 1.33942i
\(604\) 5.83794 + 4.24151i 0.237542 + 0.172585i
\(605\) 0.174157 14.2512i 0.00708047 0.579392i
\(606\) −6.39952 4.77510i −0.259963 0.193975i
\(607\) 3.82155 6.61912i 0.155112 0.268662i −0.777988 0.628279i \(-0.783760\pi\)
0.933100 + 0.359618i \(0.117093\pi\)
\(608\) −2.03346 19.3471i −0.0824677 0.784627i
\(609\) −15.9586 + 11.2872i −0.646673 + 0.457379i
\(610\) −0.00504219 + 0.412601i −0.000204152 + 0.0167057i
\(611\) 0.731374 2.25094i 0.0295882 0.0910632i
\(612\) −4.22877 + 32.3035i −0.170938 + 1.30579i
\(613\) −13.8744 42.7010i −0.560381 1.72468i −0.681291 0.732013i \(-0.738581\pi\)
0.120910 0.992664i \(-0.461419\pi\)
\(614\) 11.8270 2.51390i 0.477298 0.101453i
\(615\) 14.3943 30.2746i 0.580435 1.22079i
\(616\) −16.9798 3.60918i −0.684137 0.145418i
\(617\) −1.39059 13.2306i −0.0559832 0.532645i −0.986191 0.165612i \(-0.947040\pi\)
0.930208 0.367033i \(-0.119626\pi\)
\(618\) 12.4702 13.5001i 0.501626 0.543055i
\(619\) 14.9640 + 6.66238i 0.601452 + 0.267784i 0.684793 0.728737i \(-0.259892\pi\)
−0.0833411 + 0.996521i \(0.526559\pi\)
\(620\) −29.9090 + 2.77449i −1.20117 + 0.111426i
\(621\) 29.3207 + 7.41221i 1.17660 + 0.297442i
\(622\) 3.51266 + 2.55210i 0.140845 + 0.102330i
\(623\) 6.54716 1.39164i 0.262306 0.0557549i
\(624\) 1.93925 2.09941i 0.0776321 0.0840437i
\(625\) −3.82490 + 24.7057i −0.152996 + 0.988227i
\(626\) 0.674473 1.16822i 0.0269573 0.0466915i
\(627\) 6.32008 10.6320i 0.252400 0.424600i
\(628\) 2.85027 27.1185i 0.113738 1.08215i
\(629\) −28.8214 20.9399i −1.14918 0.834930i
\(630\) −12.1885 + 10.1702i −0.485603 + 0.405190i
\(631\) 5.16265 3.75089i 0.205522 0.149320i −0.480263 0.877124i \(-0.659459\pi\)
0.685785 + 0.727804i \(0.259459\pi\)
\(632\) −14.8235 25.6750i −0.589646 1.02130i
\(633\) 15.0880 + 11.2581i 0.599693 + 0.447470i
\(634\) −16.0435 3.41016i −0.637170 0.135435i
\(635\) −3.43077 3.16584i −0.136146 0.125632i
\(636\) −17.0574 0.217044i −0.676369 0.00860637i
\(637\) 3.40483 3.78145i 0.134904 0.149826i
\(638\) −1.86830 5.75003i −0.0739666 0.227646i
\(639\) −19.1097 4.57302i −0.755967 0.180906i
\(640\) 18.2853 + 10.8571i 0.722788 + 0.429163i
\(641\) −17.9521 + 19.9378i −0.709065 + 0.787496i −0.984792 0.173740i \(-0.944415\pi\)
0.275727 + 0.961236i \(0.411081\pi\)
\(642\) 10.5390 4.53250i 0.415943 0.178884i
\(643\) −11.0055 + 19.0621i −0.434016 + 0.751738i −0.997215 0.0745838i \(-0.976237\pi\)
0.563199 + 0.826321i \(0.309571\pi\)
\(644\) −2.64516 25.1670i −0.104234 0.991719i
\(645\) 5.46194 1.62525i 0.215064 0.0639941i
\(646\) 2.05123 19.5162i 0.0807047 0.767853i
\(647\) −17.8461 12.9660i −0.701604 0.509745i 0.178850 0.983876i \(-0.442762\pi\)
−0.880454 + 0.474131i \(0.842762\pi\)
\(648\) 3.65241 23.2811i 0.143480 0.914568i
\(649\) −0.425085 −0.0166860
\(650\) −5.08334 5.93090i −0.199385 0.232629i
\(651\) 34.4974 37.3465i 1.35206 1.46372i
\(652\) −9.04346 10.0438i −0.354169 0.393345i
\(653\) 7.28940 3.24545i 0.285256 0.127004i −0.259121 0.965845i \(-0.583433\pi\)
0.544377 + 0.838841i \(0.316766\pi\)
\(654\) −16.7663 19.1042i −0.655616 0.747034i
\(655\) −2.00152 0.677483i −0.0782059 0.0264715i
\(656\) 5.67819 4.12545i 0.221696 0.161072i
\(657\) 1.91658 + 24.1264i 0.0747728 + 0.941262i
\(658\) −2.22671 + 1.61780i −0.0868062 + 0.0630684i
\(659\) 20.9084 23.2211i 0.814474 0.904565i −0.182428 0.983219i \(-0.558396\pi\)
0.996902 + 0.0786543i \(0.0250623\pi\)
\(660\) 4.51014 + 10.8505i 0.175557 + 0.422354i
\(661\) −19.4729 21.6268i −0.757407 0.841186i 0.233967 0.972244i \(-0.424829\pi\)
−0.991375 + 0.131058i \(0.958162\pi\)
\(662\) 14.6212 + 3.10782i 0.568267 + 0.120789i
\(663\) 22.1534 15.6686i 0.860365 0.608518i
\(664\) −15.5165 + 3.29813i −0.602157 + 0.127992i
\(665\) −17.1910 + 15.1026i −0.666639 + 0.585653i
\(666\) 8.46020 + 6.48190i 0.327826 + 0.251169i
\(667\) 17.2401 12.5257i 0.667539 0.484996i
\(668\) −10.4689 18.1326i −0.405053 0.701572i
\(669\) 32.7122 14.0685i 1.26473 0.543918i
\(670\) −21.2789 2.49975i −0.822075 0.0965737i
\(671\) −0.472289 + 0.210276i −0.0182325 + 0.00811763i
\(672\) −30.6784 + 6.11399i −1.18344 + 0.235852i
\(673\) 35.7329 7.59526i 1.37740 0.292776i 0.541059 0.840984i \(-0.318023\pi\)
0.836342 + 0.548209i \(0.184690\pi\)
\(674\) 22.0463 0.849193
\(675\) 25.0252 + 6.98121i 0.963222 + 0.268707i
\(676\) 12.4967 0.480642
\(677\) 28.3570 6.02747i 1.08985 0.231654i 0.372264 0.928127i \(-0.378581\pi\)
0.717584 + 0.696472i \(0.245248\pi\)
\(678\) 4.07426 0.811973i 0.156471 0.0311836i
\(679\) 44.4406 19.7862i 1.70547 0.759325i
\(680\) 33.1270 + 30.5689i 1.27036 + 1.17226i
\(681\) 29.2542 12.5813i 1.12102 0.482116i
\(682\) 7.86276 + 13.6187i 0.301081 + 0.521487i
\(683\) 14.2219 10.3328i 0.544186 0.395374i −0.281451 0.959576i \(-0.590816\pi\)
0.825637 + 0.564201i \(0.190816\pi\)
\(684\) 1.82364 13.9308i 0.0697287 0.532657i
\(685\) −5.81513 13.5027i −0.222185 0.515910i
\(686\) 10.4147 2.21371i 0.397635 0.0845199i
\(687\) −17.5609 + 12.4204i −0.669989 + 0.473869i
\(688\) 1.16706 + 0.248065i 0.0444936 + 0.00945741i
\(689\) 9.50691 + 10.5585i 0.362184 + 0.402247i
\(690\) 13.1458 11.2557i 0.500454 0.428499i
\(691\) 29.6400 32.9185i 1.12756 1.25228i 0.163512 0.986541i \(-0.447718\pi\)
0.964045 0.265738i \(-0.0856155\pi\)
\(692\) −5.12124 + 3.72080i −0.194680 + 0.141444i
\(693\) −17.9577 8.54922i −0.682155 0.324758i
\(694\) 5.02633 3.65184i 0.190797 0.138622i
\(695\) −12.7133 + 3.95971i −0.482242 + 0.150200i
\(696\) −10.9530 12.4803i −0.415173 0.473065i
\(697\) 60.8751 27.1033i 2.30581 1.02661i
\(698\) 9.19379 + 10.2107i 0.347990 + 0.386482i
\(699\) −6.75571 + 7.31366i −0.255524 + 0.276628i
\(700\) −1.74335 21.6692i −0.0658923 0.819018i
\(701\) −42.4529 −1.60343 −0.801713 0.597710i \(-0.796078\pi\)
−0.801713 + 0.597710i \(0.796078\pi\)
\(702\) −6.74467 + 4.51737i −0.254561 + 0.170497i
\(703\) 12.4291 + 9.03029i 0.468774 + 0.340584i
\(704\) 0.646759 6.15350i 0.0243756 0.231919i
\(705\) 4.24815 + 1.49844i 0.159995 + 0.0564345i
\(706\) 1.21337 + 11.5444i 0.0456658 + 0.434481i
\(707\) −9.25403 + 16.0285i −0.348034 + 0.602812i
\(708\) −0.443577 + 0.190768i −0.0166707 + 0.00716951i
\(709\) −22.3975 + 24.8749i −0.841156 + 0.934198i −0.998577 0.0533336i \(-0.983015\pi\)
0.157421 + 0.987532i \(0.449682\pi\)
\(710\) −8.44725 + 7.42105i −0.317020 + 0.278507i
\(711\) −9.67108 32.5614i −0.362694 1.22115i
\(712\) 1.75710 + 5.40779i 0.0658500 + 0.202665i
\(713\) −37.0881 + 41.1905i −1.38896 + 1.54260i
\(714\) −31.5525 0.401486i −1.18082 0.0150252i
\(715\) 4.08957 8.89130i 0.152941 0.332516i
\(716\) 1.28219 + 0.272537i 0.0479176 + 0.0101852i
\(717\) −29.3640 21.9104i −1.09662 0.818258i
\(718\) 6.24838 + 10.8225i 0.233188 + 0.403893i
\(719\) 2.88089 2.09309i 0.107439 0.0780592i −0.532768 0.846261i \(-0.678848\pi\)
0.640208 + 0.768202i \(0.278848\pi\)
\(720\) 3.90250 + 3.78948i 0.145438 + 0.141225i
\(721\) −34.4639 25.0395i −1.28350 0.932519i
\(722\) 0.640169 6.09081i 0.0238246 0.226676i
\(723\) −7.64197 + 12.8557i −0.284208 + 0.478109i
\(724\) −0.683962 + 1.18466i −0.0254192 + 0.0440274i
\(725\) 15.0689 10.3952i 0.559645 0.386069i
\(726\) −5.75097 + 6.22594i −0.213439 + 0.231066i
\(727\) 33.7243 7.16832i 1.25076 0.265858i 0.465516 0.885039i \(-0.345869\pi\)
0.785248 + 0.619181i \(0.212535\pi\)
\(728\) 13.2866 + 9.65327i 0.492433 + 0.357774i
\(729\) 10.2776 24.9674i 0.380652 0.924718i
\(730\) 11.9085 + 7.07082i 0.440755 + 0.261703i
\(731\) 10.3484 + 4.60742i 0.382751 + 0.170412i
\(732\) −0.398468 + 0.431377i −0.0147278 + 0.0159441i
\(733\) 1.40464 + 13.3643i 0.0518816 + 0.493621i 0.989351 + 0.145552i \(0.0464958\pi\)
−0.937469 + 0.348069i \(0.886838\pi\)
\(734\) −9.31898 1.98081i −0.343970 0.0731131i
\(735\) 7.03335 + 6.65789i 0.259429 + 0.245580i
\(736\) 33.3582 7.09050i 1.22960 0.261359i
\(737\) −8.29511 25.5297i −0.305554 0.940400i
\(738\) −18.4122 + 7.64240i −0.677763 + 0.281321i
\(739\) 4.06977 12.5255i 0.149709 0.460756i −0.847878 0.530192i \(-0.822120\pi\)
0.997586 + 0.0694356i \(0.0221199\pi\)
\(740\) −13.9352 + 4.34030i −0.512269 + 0.159552i
\(741\) −9.55357 + 6.75705i −0.350959 + 0.248226i
\(742\) −1.72708 16.4321i −0.0634031 0.603240i
\(743\) −21.7820 + 37.7276i −0.799106 + 1.38409i 0.121093 + 0.992641i \(0.461360\pi\)
−0.920199 + 0.391451i \(0.871973\pi\)
\(744\) 34.6154 + 25.8288i 1.26906 + 0.946931i
\(745\) −1.29771 1.83283i −0.0475445 0.0671499i
\(746\) 19.5146 + 14.1782i 0.714480 + 0.519100i
\(747\) −18.1689 0.462451i −0.664766 0.0169202i
\(748\) −7.21794 + 22.2145i −0.263914 + 0.812244i
\(749\) −13.2961 23.0296i −0.485830 0.841482i
\(750\) 11.5261 9.39056i 0.420872 0.342895i
\(751\) −15.6168 + 27.0491i −0.569864 + 0.987034i 0.426714 + 0.904386i \(0.359671\pi\)
−0.996579 + 0.0826477i \(0.973662\pi\)
\(752\) 0.631092 + 0.700898i 0.0230135 + 0.0255591i
\(753\) 11.1783 2.22775i 0.407359 0.0811839i
\(754\) −0.597895 + 5.68859i −0.0217740 + 0.207166i
\(755\) 11.3901 1.05660i 0.414529 0.0384536i
\(756\) −22.5756 0.862151i −0.821065 0.0313561i
\(757\) 35.2792 1.28224 0.641122 0.767439i \(-0.278469\pi\)
0.641122 + 0.767439i \(0.278469\pi\)
\(758\) −15.7620 7.01771i −0.572503 0.254895i
\(759\) 19.6945 + 9.07054i 0.714865 + 0.329240i
\(760\) −14.2859 13.1827i −0.518205 0.478189i
\(761\) 10.3514 + 11.4964i 0.375238 + 0.416744i 0.900953 0.433917i \(-0.142869\pi\)
−0.525715 + 0.850661i \(0.676202\pi\)
\(762\) 0.255035 + 2.76442i 0.00923895 + 0.100144i
\(763\) −39.4237 + 43.7844i −1.42723 + 1.58510i
\(764\) 6.09936 18.7719i 0.220667 0.679144i
\(765\) 28.7611 + 42.8951i 1.03986 + 1.55087i
\(766\) −4.64626 14.2997i −0.167876 0.516670i
\(767\)