Properties

Label 54.2.e.b.43.1
Level $54$
Weight $2$
Character 54.43
Analytic conductor $0.431$
Analytic rank $0$
Dimension $12$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [54,2,Mod(7,54)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(54, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("54.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 54 = 2 \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 54.e (of order \(9\), 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: \(0.431192170915\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{12} - 6 x^{11} + 33 x^{10} - 110 x^{9} + 318 x^{8} - 678 x^{7} + 1225 x^{6} - 1698 x^{5} + 1905 x^{4} + \cdots + 57 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 43.1
Root \(0.500000 + 1.80139i\) of defining polynomial
Character \(\chi\) \(=\) 54.43
Dual form 54.2.e.b.49.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.766044 + 0.642788i) q^{2} +(-1.36085 + 1.07149i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.696050 + 0.253341i) q^{5} +(-1.73121 - 0.0539310i) q^{6} +(0.717657 - 4.07003i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.703829 - 2.91627i) q^{9} +O(q^{10})\) \(q+(0.766044 + 0.642788i) q^{2} +(-1.36085 + 1.07149i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.696050 + 0.253341i) q^{5} +(-1.73121 - 0.0539310i) q^{6} +(0.717657 - 4.07003i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.703829 - 2.91627i) q^{9} +(0.370360 + 0.641483i) q^{10} +(-4.27215 + 1.55493i) q^{11} +(-1.29152 - 1.15411i) q^{12} +(0.662744 - 0.556108i) q^{13} +(3.16592 - 2.65653i) q^{14} +(-1.21867 + 0.401049i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(2.17975 + 3.77544i) q^{17} +(2.41371 - 1.78158i) q^{18} +(-0.777964 + 1.34747i) q^{19} +(-0.128625 + 0.729467i) q^{20} +(3.38437 + 6.30767i) q^{21} +(-4.27215 - 1.55493i) q^{22} +(-0.608539 - 3.45119i) q^{23} +(-0.247510 - 1.71428i) q^{24} +(-3.40992 - 2.86126i) q^{25} +0.865150 q^{26} +(2.16694 + 4.72275i) q^{27} +4.13282 q^{28} +(-2.50318 - 2.10042i) q^{29} +(-1.19135 - 0.476126i) q^{30} +(1.85778 + 10.5360i) q^{31} +(-0.939693 - 0.342020i) q^{32} +(4.14766 - 6.69359i) q^{33} +(-0.757019 + 4.29327i) q^{34} +(1.53063 - 2.65113i) q^{35} +(2.99418 + 0.186732i) q^{36} +(0.880842 + 1.52566i) q^{37} +(-1.46209 + 0.532159i) q^{38} +(-0.306033 + 1.46690i) q^{39} +(-0.567425 + 0.476126i) q^{40} +(-1.97401 + 1.65639i) q^{41} +(-1.46192 + 7.00738i) q^{42} +(2.58757 - 0.941797i) q^{43} +(-2.27316 - 3.93723i) q^{44} +(1.22871 - 1.85156i) q^{45} +(1.75222 - 3.03493i) q^{46} +(1.68378 - 9.54918i) q^{47} +(0.912311 - 1.47231i) q^{48} +(-9.47229 - 3.44763i) q^{49} +(-0.772966 - 4.38371i) q^{50} +(-7.01165 - 2.80223i) q^{51} +(0.662744 + 0.556108i) q^{52} +4.00839 q^{53} +(-1.37575 + 5.01072i) q^{54} -3.36756 q^{55} +(3.16592 + 2.65653i) q^{56} +(-0.385108 - 2.66729i) q^{57} +(-0.567425 - 3.21803i) q^{58} +(-1.34517 - 0.489601i) q^{59} +(-0.606576 - 1.13052i) q^{60} +(-0.751711 + 4.26317i) q^{61} +(-5.34926 + 9.26519i) q^{62} +(-11.3642 - 4.95749i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(0.602188 - 0.219178i) q^{65} +(7.47985 - 2.46152i) q^{66} +(10.0444 - 8.42825i) q^{67} +(-3.33957 + 2.80223i) q^{68} +(4.52604 + 4.04452i) q^{69} +(2.87665 - 1.04701i) q^{70} +(2.54213 + 4.40310i) q^{71} +(2.17365 + 2.06767i) q^{72} +(0.286636 - 0.496469i) q^{73} +(-0.305913 + 1.73492i) q^{74} +(7.70620 + 0.240065i) q^{75} +(-1.46209 - 0.532159i) q^{76} +(3.26270 + 18.5037i) q^{77} +(-1.17734 + 0.926998i) q^{78} +(5.17820 + 4.34502i) q^{79} -0.740720 q^{80} +(-8.00925 - 4.10511i) q^{81} -2.57689 q^{82} +(7.06556 + 5.92871i) q^{83} +(-5.62415 + 4.42826i) q^{84} +(0.560740 + 3.18011i) q^{85} +(2.58757 + 0.941797i) q^{86} +(5.65702 + 0.176229i) q^{87} +(0.789461 - 4.47725i) q^{88} +(6.19947 - 10.7378i) q^{89} +(2.13141 - 0.628576i) q^{90} +(-1.78776 - 3.09648i) q^{91} +(3.29309 - 1.19859i) q^{92} +(-13.8173 - 12.3473i) q^{93} +(7.42794 - 6.23278i) q^{94} +(-0.882872 + 0.740818i) q^{95} +(1.64525 - 0.541430i) q^{96} +(-5.40770 + 1.96824i) q^{97} +(-5.04010 - 8.72971i) q^{98} +(1.52774 + 13.5531i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 3 q^{5} + 3 q^{6} - 3 q^{7} - 6 q^{8} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 3 q^{5} + 3 q^{6} - 3 q^{7} - 6 q^{8} - 12 q^{9} - 3 q^{10} - 12 q^{11} - 3 q^{12} + 12 q^{13} - 3 q^{14} - 18 q^{15} - 6 q^{17} + 6 q^{18} - 9 q^{19} + 6 q^{20} + 24 q^{21} - 12 q^{22} + 30 q^{23} - 9 q^{25} + 18 q^{26} + 12 q^{28} + 15 q^{29} + 27 q^{30} + 36 q^{33} - 15 q^{34} + 3 q^{35} - 3 q^{36} - 15 q^{37} + 3 q^{38} - 42 q^{39} - 3 q^{40} - 12 q^{41} - 15 q^{42} + 9 q^{43} - 3 q^{44} + 18 q^{45} + 3 q^{46} - 9 q^{47} + 3 q^{48} - 39 q^{49} - 27 q^{50} - 27 q^{51} + 12 q^{52} - 12 q^{53} - 36 q^{54} + 18 q^{55} - 3 q^{56} + 18 q^{57} - 3 q^{58} + 12 q^{59} - 18 q^{60} - 36 q^{61} - 12 q^{62} + 3 q^{63} - 6 q^{64} - 15 q^{65} - 18 q^{66} + 36 q^{67} + 3 q^{68} + 18 q^{69} + 39 q^{70} + 12 q^{71} + 24 q^{72} - 21 q^{73} + 33 q^{74} + 30 q^{75} + 3 q^{76} + 3 q^{77} + 18 q^{78} + 39 q^{79} + 6 q^{80} + 6 q^{82} + 18 q^{83} - 9 q^{84} + 45 q^{85} + 9 q^{86} + 27 q^{87} + 6 q^{88} + 12 q^{89} + 27 q^{90} - 6 q^{91} - 6 q^{92} - 33 q^{93} + 36 q^{94} - 15 q^{95} + 6 q^{96} + 39 q^{97} - 12 q^{98} + 9 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/54\mathbb{Z}\right)^\times\).

\(n\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 + 0.642788i 0.541675 + 0.454519i
\(3\) −1.36085 + 1.07149i −0.785688 + 0.618624i
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) 0.696050 + 0.253341i 0.311283 + 0.113298i 0.492938 0.870065i \(-0.335923\pi\)
−0.181655 + 0.983362i \(0.558145\pi\)
\(6\) −1.73121 0.0539310i −0.706764 0.0220172i
\(7\) 0.717657 4.07003i 0.271249 1.53833i −0.479382 0.877606i \(-0.659139\pi\)
0.750631 0.660722i \(-0.229750\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 0.703829 2.91627i 0.234610 0.972090i
\(10\) 0.370360 + 0.641483i 0.117118 + 0.202855i
\(11\) −4.27215 + 1.55493i −1.28810 + 0.468830i −0.893103 0.449852i \(-0.851477\pi\)
−0.394998 + 0.918682i \(0.629255\pi\)
\(12\) −1.29152 1.15411i −0.372829 0.333164i
\(13\) 0.662744 0.556108i 0.183812 0.154237i −0.546239 0.837630i \(-0.683941\pi\)
0.730051 + 0.683393i \(0.239496\pi\)
\(14\) 3.16592 2.65653i 0.846129 0.709986i
\(15\) −1.21867 + 0.401049i −0.314660 + 0.103550i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) 2.17975 + 3.77544i 0.528667 + 0.915678i 0.999441 + 0.0334246i \(0.0106414\pi\)
−0.470774 + 0.882254i \(0.656025\pi\)
\(18\) 2.41371 1.78158i 0.568916 0.419922i
\(19\) −0.777964 + 1.34747i −0.178477 + 0.309132i −0.941359 0.337406i \(-0.890450\pi\)
0.762882 + 0.646538i \(0.223784\pi\)
\(20\) −0.128625 + 0.729467i −0.0287614 + 0.163114i
\(21\) 3.38437 + 6.30767i 0.738529 + 1.37645i
\(22\) −4.27215 1.55493i −0.910825 0.331513i
\(23\) −0.608539 3.45119i −0.126889 0.719624i −0.980168 0.198169i \(-0.936501\pi\)
0.853279 0.521455i \(-0.174611\pi\)
\(24\) −0.247510 1.71428i −0.0505228 0.349925i
\(25\) −3.40992 2.86126i −0.681984 0.572252i
\(26\) 0.865150 0.169670
\(27\) 2.16694 + 4.72275i 0.417028 + 0.908894i
\(28\) 4.13282 0.781029
\(29\) −2.50318 2.10042i −0.464829 0.390038i 0.380075 0.924956i \(-0.375898\pi\)
−0.844904 + 0.534918i \(0.820343\pi\)
\(30\) −1.19135 0.476126i −0.217509 0.0869283i
\(31\) 1.85778 + 10.5360i 0.333667 + 1.89232i 0.440016 + 0.897990i \(0.354973\pi\)
−0.106350 + 0.994329i \(0.533916\pi\)
\(32\) −0.939693 0.342020i −0.166116 0.0604612i
\(33\) 4.14766 6.69359i 0.722015 1.16520i
\(34\) −0.757019 + 4.29327i −0.129828 + 0.736290i
\(35\) 1.53063 2.65113i 0.258724 0.448123i
\(36\) 2.99418 + 0.186732i 0.499030 + 0.0311220i
\(37\) 0.880842 + 1.52566i 0.144810 + 0.250817i 0.929302 0.369321i \(-0.120410\pi\)
−0.784492 + 0.620139i \(0.787076\pi\)
\(38\) −1.46209 + 0.532159i −0.237183 + 0.0863275i
\(39\) −0.306033 + 1.46690i −0.0490044 + 0.234892i
\(40\) −0.567425 + 0.476126i −0.0897177 + 0.0752821i
\(41\) −1.97401 + 1.65639i −0.308289 + 0.258685i −0.783784 0.621033i \(-0.786713\pi\)
0.475495 + 0.879718i \(0.342269\pi\)
\(42\) −1.46192 + 7.00738i −0.225579 + 1.08126i
\(43\) 2.58757 0.941797i 0.394600 0.143623i −0.137096 0.990558i \(-0.543777\pi\)
0.531696 + 0.846935i \(0.321555\pi\)
\(44\) −2.27316 3.93723i −0.342692 0.593560i
\(45\) 1.22871 1.85156i 0.183166 0.276014i
\(46\) 1.75222 3.03493i 0.258350 0.447476i
\(47\) 1.68378 9.54918i 0.245604 1.39289i −0.573481 0.819219i \(-0.694407\pi\)
0.819085 0.573672i \(-0.194481\pi\)
\(48\) 0.912311 1.47231i 0.131681 0.212509i
\(49\) −9.47229 3.44763i −1.35318 0.492519i
\(50\) −0.772966 4.38371i −0.109314 0.619950i
\(51\) −7.01165 2.80223i −0.981827 0.392391i
\(52\) 0.662744 + 0.556108i 0.0919060 + 0.0771183i
\(53\) 4.00839 0.550595 0.275297 0.961359i \(-0.411224\pi\)
0.275297 + 0.961359i \(0.411224\pi\)
\(54\) −1.37575 + 5.01072i −0.187216 + 0.681872i
\(55\) −3.36756 −0.454081
\(56\) 3.16592 + 2.65653i 0.423064 + 0.354993i
\(57\) −0.385108 2.66729i −0.0510088 0.353291i
\(58\) −0.567425 3.21803i −0.0745065 0.422548i
\(59\) −1.34517 0.489601i −0.175126 0.0637406i 0.252969 0.967474i \(-0.418593\pi\)
−0.428095 + 0.903734i \(0.640815\pi\)
\(60\) −0.606576 1.13052i −0.0783086 0.145949i
\(61\) −0.751711 + 4.26317i −0.0962468 + 0.545843i 0.898111 + 0.439768i \(0.144939\pi\)
−0.994358 + 0.106075i \(0.966172\pi\)
\(62\) −5.34926 + 9.26519i −0.679357 + 1.17668i
\(63\) −11.3642 4.95749i −1.43175 0.624585i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 0.602188 0.219178i 0.0746922 0.0271857i
\(66\) 7.47985 2.46152i 0.920705 0.302992i
\(67\) 10.0444 8.42825i 1.22712 1.02967i 0.228697 0.973498i \(-0.426554\pi\)
0.998421 0.0561764i \(-0.0178909\pi\)
\(68\) −3.33957 + 2.80223i −0.404983 + 0.339821i
\(69\) 4.52604 + 4.04452i 0.544871 + 0.486903i
\(70\) 2.87665 1.04701i 0.343825 0.125142i
\(71\) 2.54213 + 4.40310i 0.301695 + 0.522551i 0.976520 0.215427i \(-0.0691142\pi\)
−0.674825 + 0.737978i \(0.735781\pi\)
\(72\) 2.17365 + 2.06767i 0.256167 + 0.243677i
\(73\) 0.286636 0.496469i 0.0335483 0.0581073i −0.848764 0.528772i \(-0.822653\pi\)
0.882312 + 0.470665i \(0.155986\pi\)
\(74\) −0.305913 + 1.73492i −0.0355617 + 0.201680i
\(75\) 7.70620 + 0.240065i 0.889835 + 0.0277203i
\(76\) −1.46209 0.532159i −0.167714 0.0610428i
\(77\) 3.26270 + 18.5037i 0.371819 + 2.10869i
\(78\) −1.17734 + 0.926998i −0.133308 + 0.104962i
\(79\) 5.17820 + 4.34502i 0.582593 + 0.488853i 0.885797 0.464072i \(-0.153612\pi\)
−0.303205 + 0.952925i \(0.598057\pi\)
\(80\) −0.740720 −0.0828151
\(81\) −8.00925 4.10511i −0.889916 0.456124i
\(82\) −2.57689 −0.284570
\(83\) 7.06556 + 5.92871i 0.775546 + 0.650761i 0.942123 0.335268i \(-0.108827\pi\)
−0.166577 + 0.986029i \(0.553271\pi\)
\(84\) −5.62415 + 4.42826i −0.613645 + 0.483163i
\(85\) 0.560740 + 3.18011i 0.0608208 + 0.344932i
\(86\) 2.58757 + 0.941797i 0.279024 + 0.101557i
\(87\) 5.65702 + 0.176229i 0.606497 + 0.0188937i
\(88\) 0.789461 4.47725i 0.0841568 0.477277i
\(89\) 6.19947 10.7378i 0.657142 1.13820i −0.324210 0.945985i \(-0.605098\pi\)
0.981352 0.192219i \(-0.0615683\pi\)
\(90\) 2.13141 0.628576i 0.224670 0.0662577i
\(91\) −1.78776 3.09648i −0.187408 0.324600i
\(92\) 3.29309 1.19859i 0.343329 0.124961i
\(93\) −13.8173 12.3473i −1.43279 1.28036i
\(94\) 7.42794 6.23278i 0.766134 0.642862i
\(95\) −0.882872 + 0.740818i −0.0905808 + 0.0760063i
\(96\) 1.64525 0.541430i 0.167918 0.0552595i
\(97\) −5.40770 + 1.96824i −0.549069 + 0.199845i −0.601633 0.798773i \(-0.705483\pi\)
0.0525637 + 0.998618i \(0.483261\pi\)
\(98\) −5.04010 8.72971i −0.509127 0.881834i
\(99\) 1.52774 + 13.5531i 0.153544 + 1.36214i
\(100\) 2.22567 3.85497i 0.222567 0.385497i
\(101\) −1.91700 + 10.8718i −0.190748 + 1.08179i 0.727596 + 0.686006i \(0.240637\pi\)
−0.918345 + 0.395782i \(0.870474\pi\)
\(102\) −3.56999 6.65364i −0.353482 0.658808i
\(103\) 6.03419 + 2.19627i 0.594567 + 0.216405i 0.621737 0.783226i \(-0.286427\pi\)
−0.0271702 + 0.999631i \(0.508650\pi\)
\(104\) 0.150232 + 0.852007i 0.0147314 + 0.0835461i
\(105\) 0.757693 + 5.24785i 0.0739433 + 0.512138i
\(106\) 3.07060 + 2.57654i 0.298243 + 0.250256i
\(107\) −17.2923 −1.67171 −0.835854 0.548952i \(-0.815027\pi\)
−0.835854 + 0.548952i \(0.815027\pi\)
\(108\) −4.27472 + 2.95411i −0.411335 + 0.284260i
\(109\) −9.94570 −0.952626 −0.476313 0.879276i \(-0.658027\pi\)
−0.476313 + 0.879276i \(0.658027\pi\)
\(110\) −2.57970 2.16462i −0.245964 0.206389i
\(111\) −2.83342 1.13239i −0.268937 0.107482i
\(112\) 0.717657 + 4.07003i 0.0678122 + 0.384582i
\(113\) −2.30350 0.838405i −0.216695 0.0788705i 0.231392 0.972861i \(-0.425672\pi\)
−0.448087 + 0.893990i \(0.647894\pi\)
\(114\) 1.41949 2.29080i 0.132947 0.214553i
\(115\) 0.450757 2.55637i 0.0420333 0.238383i
\(116\) 1.63383 2.82988i 0.151698 0.262748i
\(117\) −1.15530 2.32414i −0.106808 0.214867i
\(118\) −0.715749 1.23971i −0.0658900 0.114125i
\(119\) 16.9305 6.16219i 1.55201 0.564887i
\(120\) 0.262018 1.25592i 0.0239188 0.114650i
\(121\) 7.40693 6.21515i 0.673357 0.565014i
\(122\) −3.31616 + 2.78258i −0.300231 + 0.251923i
\(123\) 0.911532 4.36924i 0.0821901 0.393961i
\(124\) −10.0533 + 3.65911i −0.902815 + 0.328598i
\(125\) −3.50040 6.06287i −0.313085 0.542279i
\(126\) −5.51887 11.1024i −0.491660 0.989083i
\(127\) −4.05136 + 7.01715i −0.359500 + 0.622672i −0.987877 0.155237i \(-0.950386\pi\)
0.628378 + 0.777908i \(0.283719\pi\)
\(128\) 0.173648 0.984808i 0.0153485 0.0870455i
\(129\) −2.51217 + 4.05419i −0.221184 + 0.356951i
\(130\) 0.602188 + 0.219178i 0.0528153 + 0.0192232i
\(131\) −2.76007 15.6532i −0.241149 1.36762i −0.829269 0.558849i \(-0.811243\pi\)
0.588120 0.808773i \(-0.299868\pi\)
\(132\) 7.31213 + 2.92232i 0.636439 + 0.254355i
\(133\) 4.92595 + 4.13336i 0.427134 + 0.358408i
\(134\) 13.1120 1.13271
\(135\) 0.311829 + 3.83624i 0.0268379 + 0.330171i
\(136\) −4.35950 −0.373824
\(137\) −9.46551 7.94250i −0.808693 0.678574i 0.141603 0.989924i \(-0.454775\pi\)
−0.950295 + 0.311350i \(0.899219\pi\)
\(138\) 0.867382 + 6.00756i 0.0738365 + 0.511398i
\(139\) −0.761169 4.31680i −0.0645615 0.366146i −0.999922 0.0124519i \(-0.996036\pi\)
0.935361 0.353695i \(-0.115075\pi\)
\(140\) 2.87665 + 1.04701i 0.243121 + 0.0884888i
\(141\) 7.94045 + 14.7992i 0.668707 + 1.24631i
\(142\) −0.882872 + 5.00702i −0.0740890 + 0.420179i
\(143\) −1.96663 + 3.40630i −0.164458 + 0.284849i
\(144\) 0.336039 + 2.98112i 0.0280033 + 0.248427i
\(145\) −1.21021 2.09615i −0.100503 0.174076i
\(146\) 0.538700 0.196071i 0.0445832 0.0162269i
\(147\) 16.5845 5.45773i 1.36786 0.450146i
\(148\) −1.34953 + 1.13239i −0.110931 + 0.0930818i
\(149\) 5.23476 4.39248i 0.428848 0.359846i −0.402669 0.915346i \(-0.631917\pi\)
0.831517 + 0.555499i \(0.187473\pi\)
\(150\) 5.74898 + 5.13735i 0.469402 + 0.419463i
\(151\) 4.89254 1.78074i 0.398149 0.144915i −0.135182 0.990821i \(-0.543162\pi\)
0.533332 + 0.845906i \(0.320940\pi\)
\(152\) −0.777964 1.34747i −0.0631012 0.109295i
\(153\) 12.5444 3.69947i 1.01415 0.299085i
\(154\) −9.39457 + 16.2719i −0.757036 + 1.31122i
\(155\) −1.37609 + 7.80422i −0.110531 + 0.626850i
\(156\) −1.49776 0.0466584i −0.119917 0.00373567i
\(157\) −3.73260 1.35856i −0.297894 0.108424i 0.188749 0.982025i \(-0.439557\pi\)
−0.486643 + 0.873601i \(0.661779\pi\)
\(158\) 1.17380 + 6.65696i 0.0933826 + 0.529599i
\(159\) −5.45482 + 4.29494i −0.432595 + 0.340611i
\(160\) −0.567425 0.476126i −0.0448589 0.0376411i
\(161\) −14.4832 −1.14144
\(162\) −3.49672 8.29294i −0.274729 0.651555i
\(163\) 2.34707 0.183837 0.0919184 0.995767i \(-0.470700\pi\)
0.0919184 + 0.995767i \(0.470700\pi\)
\(164\) −1.97401 1.65639i −0.154145 0.129343i
\(165\) 4.58274 3.60829i 0.356766 0.280905i
\(166\) 1.60163 + 9.08331i 0.124311 + 0.705002i
\(167\) 0.989141 + 0.360018i 0.0765420 + 0.0278590i 0.380007 0.924983i \(-0.375921\pi\)
−0.303465 + 0.952842i \(0.598144\pi\)
\(168\) −7.15478 0.222887i −0.552003 0.0171961i
\(169\) −2.12745 + 12.0654i −0.163650 + 0.928107i
\(170\) −1.61459 + 2.79654i −0.123833 + 0.214485i
\(171\) 3.38204 + 3.21714i 0.258631 + 0.246021i
\(172\) 1.37682 + 2.38471i 0.104981 + 0.181833i
\(173\) −6.42081 + 2.33699i −0.488166 + 0.177678i −0.574364 0.818600i \(-0.694750\pi\)
0.0861981 + 0.996278i \(0.472528\pi\)
\(174\) 4.22025 + 3.77126i 0.319937 + 0.285899i
\(175\) −14.0926 + 11.8251i −1.06530 + 0.893892i
\(176\) 3.48269 2.92232i 0.262517 0.220278i
\(177\) 2.35517 0.775057i 0.177026 0.0582568i
\(178\) 11.6512 4.24069i 0.873294 0.317853i
\(179\) 1.09877 + 1.90312i 0.0821258 + 0.142246i 0.904163 0.427188i \(-0.140496\pi\)
−0.822037 + 0.569434i \(0.807162\pi\)
\(180\) 2.03679 + 0.888525i 0.151814 + 0.0662267i
\(181\) 7.86998 13.6312i 0.584971 1.01320i −0.409908 0.912127i \(-0.634439\pi\)
0.994879 0.101073i \(-0.0322275\pi\)
\(182\) 0.620881 3.52119i 0.0460228 0.261008i
\(183\) −3.54496 6.60698i −0.262051 0.488402i
\(184\) 3.29309 + 1.19859i 0.242770 + 0.0883610i
\(185\) 0.226596 + 1.28509i 0.0166597 + 0.0944818i
\(186\) −2.64799 18.3402i −0.194160 1.34477i
\(187\) −15.1828 12.7399i −1.11027 0.931631i
\(188\) 9.69649 0.707189
\(189\) 20.7769 5.43020i 1.51129 0.394989i
\(190\) −1.15251 −0.0836117
\(191\) 6.00686 + 5.04036i 0.434641 + 0.364707i 0.833700 0.552218i \(-0.186218\pi\)
−0.399058 + 0.916926i \(0.630663\pi\)
\(192\) 1.60836 + 0.642788i 0.116073 + 0.0463892i
\(193\) −2.87224 16.2893i −0.206748 1.17253i −0.894665 0.446738i \(-0.852586\pi\)
0.687916 0.725790i \(-0.258526\pi\)
\(194\) −5.40770 1.96824i −0.388251 0.141312i
\(195\) −0.584641 + 0.943505i −0.0418670 + 0.0675658i
\(196\) 1.75041 9.92706i 0.125029 0.709075i
\(197\) 5.68810 9.85208i 0.405260 0.701931i −0.589091 0.808066i \(-0.700514\pi\)
0.994352 + 0.106135i \(0.0338476\pi\)
\(198\) −7.54147 + 11.3643i −0.535949 + 0.807627i
\(199\) −0.936258 1.62165i −0.0663696 0.114955i 0.830931 0.556375i \(-0.187808\pi\)
−0.897301 + 0.441420i \(0.854475\pi\)
\(200\) 4.18288 1.52245i 0.295775 0.107653i
\(201\) −4.63816 + 22.2320i −0.327151 + 1.56813i
\(202\) −8.45678 + 7.09608i −0.595017 + 0.499279i
\(203\) −10.3452 + 8.68065i −0.726090 + 0.609262i
\(204\) 1.54210 7.39173i 0.107969 0.517525i
\(205\) −1.79364 + 0.652833i −0.125274 + 0.0455958i
\(206\) 3.21073 + 5.56114i 0.223702 + 0.387463i
\(207\) −10.4929 0.654390i −0.729308 0.0454832i
\(208\) −0.432575 + 0.749242i −0.0299937 + 0.0519506i
\(209\) 1.22834 6.96629i 0.0849663 0.481868i
\(210\) −2.79283 + 4.50712i −0.192723 + 0.311021i
\(211\) −5.14025 1.87090i −0.353870 0.128798i 0.158968 0.987284i \(-0.449183\pi\)
−0.512837 + 0.858486i \(0.671406\pi\)
\(212\) 0.696050 + 3.94749i 0.0478049 + 0.271115i
\(213\) −8.17732 3.26810i −0.560301 0.223926i
\(214\) −13.2467 11.1153i −0.905522 0.759824i
\(215\) 2.03967 0.139104
\(216\) −5.17349 0.484752i −0.352012 0.0329832i
\(217\) 44.2150 3.00151
\(218\) −7.61885 6.39297i −0.516014 0.432987i
\(219\) 0.141891 + 0.982747i 0.00958809 + 0.0664079i
\(220\) −0.584770 3.31639i −0.0394252 0.223591i
\(221\) 3.54417 + 1.28997i 0.238407 + 0.0867729i
\(222\) −1.44264 2.68875i −0.0968239 0.180457i
\(223\) −0.219638 + 1.24563i −0.0147080 + 0.0834134i −0.991278 0.131786i \(-0.957929\pi\)
0.976570 + 0.215199i \(0.0690400\pi\)
\(224\) −2.06641 + 3.57913i −0.138068 + 0.239140i
\(225\) −10.7442 + 7.93040i −0.716281 + 0.528693i
\(226\) −1.22567 2.12292i −0.0815301 0.141214i
\(227\) −9.34189 + 3.40017i −0.620043 + 0.225677i −0.632892 0.774240i \(-0.718132\pi\)
0.0128486 + 0.999917i \(0.495910\pi\)
\(228\) 2.55989 0.842427i 0.169533 0.0557911i
\(229\) −7.64692 + 6.41653i −0.505323 + 0.424016i −0.859480 0.511170i \(-0.829212\pi\)
0.354157 + 0.935186i \(0.384768\pi\)
\(230\) 1.98850 1.66855i 0.131118 0.110021i
\(231\) −24.2665 21.6848i −1.59662 1.42676i
\(232\) 3.07060 1.11761i 0.201595 0.0733746i
\(233\) 13.5765 + 23.5152i 0.889428 + 1.54053i 0.840553 + 0.541729i \(0.182230\pi\)
0.0488748 + 0.998805i \(0.484436\pi\)
\(234\) 0.608918 2.52301i 0.0398062 0.164934i
\(235\) 3.59119 6.22013i 0.234264 0.405757i
\(236\) 0.248577 1.40975i 0.0161810 0.0917669i
\(237\) −11.7024 0.364555i −0.760152 0.0236804i
\(238\) 16.9305 + 6.16219i 1.09744 + 0.399435i
\(239\) −3.39241 19.2393i −0.219437 1.24449i −0.873039 0.487651i \(-0.837854\pi\)
0.653602 0.756839i \(-0.273257\pi\)
\(240\) 1.00801 0.793673i 0.0650668 0.0512313i
\(241\) 12.4216 + 10.4229i 0.800144 + 0.671400i 0.948234 0.317573i \(-0.102868\pi\)
−0.148090 + 0.988974i \(0.547312\pi\)
\(242\) 9.66906 0.621551
\(243\) 15.2980 2.99536i 0.981365 0.192153i
\(244\) −4.32893 −0.277132
\(245\) −5.71975 4.79944i −0.365422 0.306625i
\(246\) 3.50676 2.76111i 0.223583 0.176042i
\(247\) 0.233750 + 1.32566i 0.0148731 + 0.0843498i
\(248\) −10.0533 3.65911i −0.638386 0.232354i
\(249\) −15.9677 0.497429i −1.01191 0.0315233i
\(250\) 1.21568 6.89444i 0.0768861 0.436043i
\(251\) −11.7303 + 20.3174i −0.740408 + 1.28242i 0.211902 + 0.977291i \(0.432034\pi\)
−0.952310 + 0.305133i \(0.901299\pi\)
\(252\) 2.90880 12.0524i 0.183237 0.759231i
\(253\) 7.96615 + 13.7978i 0.500827 + 0.867458i
\(254\) −7.61406 + 2.77129i −0.477749 + 0.173886i
\(255\) −4.17053 3.72683i −0.261169 0.233383i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) 16.8456 14.1352i 1.05080 0.881728i 0.0576244 0.998338i \(-0.481647\pi\)
0.993178 + 0.116611i \(0.0372030\pi\)
\(258\) −4.53041 + 1.49090i −0.282051 + 0.0928193i
\(259\) 6.84164 2.49015i 0.425119 0.154731i
\(260\) 0.320417 + 0.554979i 0.0198714 + 0.0344183i
\(261\) −7.88719 + 5.82161i −0.488205 + 0.360349i
\(262\) 7.94732 13.7652i 0.490987 0.850414i
\(263\) −4.07773 + 23.1260i −0.251444 + 1.42601i 0.553595 + 0.832786i \(0.313255\pi\)
−0.805039 + 0.593222i \(0.797856\pi\)
\(264\) 3.72298 + 6.93877i 0.229134 + 0.427052i
\(265\) 2.79004 + 1.01549i 0.171391 + 0.0623811i
\(266\) 1.11662 + 6.33268i 0.0684645 + 0.388281i
\(267\) 3.06886 + 21.2552i 0.187811 + 1.30080i
\(268\) 10.0444 + 8.42825i 0.613559 + 0.514837i
\(269\) 18.3001 1.11578 0.557888 0.829916i \(-0.311612\pi\)
0.557888 + 0.829916i \(0.311612\pi\)
\(270\) −2.22702 + 3.13917i −0.135532 + 0.191044i
\(271\) −16.4825 −1.00124 −0.500620 0.865667i \(-0.666895\pi\)
−0.500620 + 0.865667i \(0.666895\pi\)
\(272\) −3.33957 2.80223i −0.202491 0.169910i
\(273\) 5.75071 + 2.29829i 0.348049 + 0.139099i
\(274\) −2.14566 12.1686i −0.129624 0.735133i
\(275\) 19.0167 + 6.92153i 1.14675 + 0.417384i
\(276\) −3.19713 + 5.15960i −0.192445 + 0.310572i
\(277\) 1.95736 11.1008i 0.117606 0.666980i −0.867820 0.496878i \(-0.834479\pi\)
0.985427 0.170101i \(-0.0544094\pi\)
\(278\) 2.19170 3.79613i 0.131449 0.227677i
\(279\) 32.0333 + 1.99776i 1.91778 + 0.119602i
\(280\) 1.53063 + 2.65113i 0.0914728 + 0.158435i
\(281\) 0.681601 0.248083i 0.0406609 0.0147994i −0.321610 0.946872i \(-0.604224\pi\)
0.362271 + 0.932073i \(0.382002\pi\)
\(282\) −3.42997 + 16.4408i −0.204252 + 0.979037i
\(283\) −16.9589 + 14.2302i −1.00810 + 0.845897i −0.988086 0.153903i \(-0.950816\pi\)
−0.0200144 + 0.999800i \(0.506371\pi\)
\(284\) −3.89477 + 3.26810i −0.231112 + 0.193926i
\(285\) 0.407680 1.95413i 0.0241489 0.115753i
\(286\) −3.69605 + 1.34525i −0.218552 + 0.0795464i
\(287\) 5.32491 + 9.22302i 0.314320 + 0.544418i
\(288\) −1.65881 + 2.49967i −0.0977461 + 0.147295i
\(289\) −1.00263 + 1.73660i −0.0589780 + 0.102153i
\(290\) 0.420303 2.38366i 0.0246811 0.139973i
\(291\) 5.25013 8.47277i 0.307768 0.496683i
\(292\) 0.538700 + 0.196071i 0.0315251 + 0.0114742i
\(293\) −1.13889 6.45895i −0.0665344 0.377336i −0.999834 0.0182360i \(-0.994195\pi\)
0.933299 0.359100i \(-0.116916\pi\)
\(294\) 16.2126 + 6.47943i 0.945538 + 0.377888i
\(295\) −0.812267 0.681573i −0.0472920 0.0396827i
\(296\) −1.76168 −0.102396
\(297\) −16.6010 16.8068i −0.963290 0.975232i
\(298\) 6.83349 0.395854
\(299\) −2.32254 1.94884i −0.134316 0.112705i
\(300\) 1.10175 + 7.63081i 0.0636095 + 0.440565i
\(301\) −1.97616 11.2074i −0.113904 0.645982i
\(302\) 4.89254 + 1.78074i 0.281534 + 0.102470i
\(303\) −9.04028 16.8490i −0.519351 0.967948i
\(304\) 0.270184 1.53229i 0.0154961 0.0878829i
\(305\) −1.60326 + 2.77694i −0.0918027 + 0.159007i
\(306\) 11.9875 + 5.22940i 0.685281 + 0.298945i
\(307\) −3.98740 6.90639i −0.227573 0.394168i 0.729515 0.683965i \(-0.239746\pi\)
−0.957088 + 0.289796i \(0.906412\pi\)
\(308\) −17.6560 + 6.42626i −1.00604 + 0.366170i
\(309\) −10.5649 + 3.47677i −0.601016 + 0.197787i
\(310\) −6.07060 + 5.09384i −0.344787 + 0.289311i
\(311\) 10.8380 9.09419i 0.614569 0.515684i −0.281522 0.959555i \(-0.590839\pi\)
0.896091 + 0.443870i \(0.146395\pi\)
\(312\) −1.11736 0.998483i −0.0632579 0.0565279i
\(313\) −22.5917 + 8.22270i −1.27696 + 0.464774i −0.889425 0.457082i \(-0.848895\pi\)
−0.387532 + 0.921856i \(0.626672\pi\)
\(314\) −1.98607 3.43998i −0.112081 0.194129i
\(315\) −6.65411 6.32968i −0.374917 0.356637i
\(316\) −3.37983 + 5.85403i −0.190130 + 0.329315i
\(317\) 3.15913 17.9163i 0.177435 1.00628i −0.757862 0.652415i \(-0.773756\pi\)
0.935296 0.353866i \(-0.115133\pi\)
\(318\) −6.93937 0.216177i −0.389140 0.0121226i
\(319\) 13.9600 + 5.08101i 0.781608 + 0.284482i
\(320\) −0.128625 0.729467i −0.00719034 0.0407785i
\(321\) 23.5322 18.5285i 1.31344 1.03416i
\(322\) −11.0948 9.30962i −0.618287 0.518805i
\(323\) −6.78307 −0.377420
\(324\) 2.65195 8.60041i 0.147331 0.477801i
\(325\) −3.85107 −0.213619
\(326\) 1.79796 + 1.50867i 0.0995798 + 0.0835574i
\(327\) 13.5346 10.6567i 0.748466 0.589317i
\(328\) −0.447473 2.53774i −0.0247075 0.140123i
\(329\) −37.6571 13.7061i −2.07610 0.755640i
\(330\) 5.82995 + 0.181616i 0.320928 + 0.00999761i
\(331\) 3.11884 17.6878i 0.171427 0.972212i −0.770760 0.637125i \(-0.780123\pi\)
0.942187 0.335086i \(-0.108766\pi\)
\(332\) −4.61172 + 7.98773i −0.253101 + 0.438384i
\(333\) 5.06921 1.49497i 0.277791 0.0819236i
\(334\) 0.526311 + 0.911597i 0.0287985 + 0.0498804i
\(335\) 9.12662 3.32182i 0.498640 0.181490i
\(336\) −5.33761 4.76975i −0.291191 0.260211i
\(337\) −17.9989 + 15.1029i −0.980462 + 0.822705i −0.984159 0.177288i \(-0.943268\pi\)
0.00369714 + 0.999993i \(0.498823\pi\)
\(338\) −9.38520 + 7.87512i −0.510488 + 0.428350i
\(339\) 4.03306 1.32723i 0.219046 0.0720850i
\(340\) −3.03443 + 1.10444i −0.164565 + 0.0598968i
\(341\) −24.3195 42.1225i −1.31697 2.28106i
\(342\) 0.522853 + 4.63841i 0.0282727 + 0.250816i
\(343\) −6.36495 + 11.0244i −0.343675 + 0.595263i
\(344\) −0.478163 + 2.71180i −0.0257808 + 0.146210i
\(345\) 2.12571 + 3.96182i 0.114444 + 0.213297i
\(346\) −6.42081 2.33699i −0.345185 0.125637i
\(347\) 1.44691 + 8.20582i 0.0776741 + 0.440512i 0.998698 + 0.0510063i \(0.0162429\pi\)
−0.921024 + 0.389505i \(0.872646\pi\)
\(348\) 0.808781 + 5.60168i 0.0433552 + 0.300282i
\(349\) −4.05619 3.40354i −0.217123 0.182188i 0.527739 0.849407i \(-0.323040\pi\)
−0.744861 + 0.667219i \(0.767484\pi\)
\(350\) −18.3966 −0.983337
\(351\) 4.06248 + 1.92492i 0.216839 + 0.102745i
\(352\) 4.54632 0.242320
\(353\) 26.4759 + 22.2159i 1.40917 + 1.18243i 0.956852 + 0.290577i \(0.0938473\pi\)
0.452318 + 0.891857i \(0.350597\pi\)
\(354\) 2.30237 + 0.920149i 0.122369 + 0.0489054i
\(355\) 0.653961 + 3.70880i 0.0347087 + 0.196843i
\(356\) 11.6512 + 4.24069i 0.617512 + 0.224756i
\(357\) −16.4371 + 26.5266i −0.869946 + 1.40394i
\(358\) −0.381598 + 2.16415i −0.0201681 + 0.114379i
\(359\) 12.8489 22.2549i 0.678138 1.17457i −0.297403 0.954752i \(-0.596120\pi\)
0.975541 0.219818i \(-0.0705462\pi\)
\(360\) 0.989141 + 1.98987i 0.0521323 + 0.104876i
\(361\) 8.28954 + 14.3579i 0.436292 + 0.755680i
\(362\) 14.7907 5.38339i 0.777384 0.282944i
\(363\) −3.42027 + 16.3943i −0.179518 + 0.860479i
\(364\) 2.73900 2.29829i 0.143563 0.120463i
\(365\) 0.325289 0.272950i 0.0170264 0.0142869i
\(366\) 1.53129 7.33990i 0.0800417 0.383663i
\(367\) −10.6739 + 3.88499i −0.557174 + 0.202795i −0.605231 0.796050i \(-0.706919\pi\)
0.0480573 + 0.998845i \(0.484697\pi\)
\(368\) 1.75222 + 3.03493i 0.0913406 + 0.158207i
\(369\) 3.44112 + 6.92257i 0.179138 + 0.360375i
\(370\) −0.652458 + 1.13009i −0.0339197 + 0.0587506i
\(371\) 2.87665 16.3143i 0.149348 0.846995i
\(372\) 9.76038 15.7515i 0.506052 0.816678i
\(373\) 26.9731 + 9.81739i 1.39661 + 0.508325i 0.927171 0.374639i \(-0.122233\pi\)
0.469441 + 0.882964i \(0.344455\pi\)
\(374\) −3.44166 19.5186i −0.177964 1.00928i
\(375\) 11.2598 + 4.50002i 0.581454 + 0.232380i
\(376\) 7.42794 + 6.23278i 0.383067 + 0.321431i
\(377\) −2.82703 −0.145599
\(378\) 19.4065 + 9.19534i 0.998161 + 0.472957i
\(379\) −23.0493 −1.18396 −0.591981 0.805952i \(-0.701654\pi\)
−0.591981 + 0.805952i \(0.701654\pi\)
\(380\) −0.882872 0.740818i −0.0452904 0.0380031i
\(381\) −2.00550 13.8903i −0.102745 0.711620i
\(382\) 1.36165 + 7.72227i 0.0696678 + 0.395106i
\(383\) 23.1212 + 8.41541i 1.18144 + 0.430007i 0.856709 0.515800i \(-0.172505\pi\)
0.324727 + 0.945808i \(0.394728\pi\)
\(384\) 0.818900 + 1.52624i 0.0417893 + 0.0778855i
\(385\) −2.41675 + 13.7061i −0.123169 + 0.698525i
\(386\) 8.27028 14.3246i 0.420946 0.729101i
\(387\) −0.925328 8.20890i −0.0470371 0.417282i
\(388\) −2.87738 4.98377i −0.146077 0.253012i
\(389\) −34.8878 + 12.6981i −1.76888 + 0.643820i −0.768891 + 0.639380i \(0.779191\pi\)
−0.999990 + 0.00444021i \(0.998587\pi\)
\(390\) −1.05433 + 0.346967i −0.0533883 + 0.0175694i
\(391\) 11.7033 9.82024i 0.591862 0.496631i
\(392\) 7.72188 6.47943i 0.390014 0.327260i
\(393\) 20.5282 + 18.3442i 1.03551 + 0.925344i
\(394\) 10.6901 3.89089i 0.538561 0.196020i
\(395\) 2.50351 + 4.33620i 0.125965 + 0.218178i
\(396\) −13.0819 + 3.85801i −0.657392 + 0.193872i
\(397\) −3.19629 + 5.53614i −0.160417 + 0.277851i −0.935018 0.354599i \(-0.884617\pi\)
0.774601 + 0.632450i \(0.217951\pi\)
\(398\) 0.325159 1.84407i 0.0162987 0.0924348i
\(399\) −11.1323 0.346796i −0.557313 0.0173615i
\(400\) 4.18288 + 1.52245i 0.209144 + 0.0761223i
\(401\) 5.67599 + 32.1901i 0.283445 + 1.60750i 0.710787 + 0.703407i \(0.248339\pi\)
−0.427342 + 0.904090i \(0.640550\pi\)
\(402\) −17.8435 + 14.0494i −0.889953 + 0.700719i
\(403\) 7.09038 + 5.94953i 0.353197 + 0.296367i
\(404\) −11.0395 −0.549238
\(405\) −4.53484 4.88643i −0.225338 0.242809i
\(406\) −13.5047 −0.670226
\(407\) −6.13539 5.14821i −0.304120 0.255187i
\(408\) 5.93263 4.67115i 0.293709 0.231256i
\(409\) −3.79522 21.5238i −0.187662 1.06428i −0.922488 0.386027i \(-0.873847\pi\)
0.734826 0.678256i \(-0.237264\pi\)
\(410\) −1.79364 0.652833i −0.0885818 0.0322411i
\(411\) 21.3914 + 0.666390i 1.05516 + 0.0328706i
\(412\) −1.11507 + 6.32390i −0.0549357 + 0.311556i
\(413\) −2.95806 + 5.12351i −0.145557 + 0.252112i
\(414\) −7.61741 7.24601i −0.374375 0.356122i
\(415\) 3.41599 + 5.91668i 0.167685 + 0.290438i
\(416\) −0.812975 + 0.295899i −0.0398594 + 0.0145076i
\(417\) 5.66124 + 5.05894i 0.277232 + 0.247737i
\(418\) 5.41881 4.54692i 0.265043 0.222397i
\(419\) −20.0021 + 16.7838i −0.977168 + 0.819941i −0.983660 0.180037i \(-0.942378\pi\)
0.00649160 + 0.999979i \(0.497934\pi\)
\(420\) −5.03655 + 1.65746i −0.245758 + 0.0808758i
\(421\) 35.2362 12.8249i 1.71731 0.625049i 0.719707 0.694278i \(-0.244276\pi\)
0.997601 + 0.0692288i \(0.0220539\pi\)
\(422\) −2.73507 4.73728i −0.133141 0.230607i
\(423\) −26.6629 11.6313i −1.29639 0.565535i
\(424\) −2.00419 + 3.47137i −0.0973323 + 0.168584i
\(425\) 3.36975 19.1108i 0.163457 0.927009i
\(426\) −4.16350 7.75979i −0.201722 0.375963i
\(427\) 16.8118 + 6.11898i 0.813578 + 0.296118i
\(428\) −3.00277 17.0296i −0.145144 0.823155i
\(429\) −0.973519 6.74268i −0.0470020 0.325540i
\(430\) 1.56248 + 1.31107i 0.0753494 + 0.0632256i
\(431\) 6.13162 0.295350 0.147675 0.989036i \(-0.452821\pi\)
0.147675 + 0.989036i \(0.452821\pi\)
\(432\) −3.65153 3.69680i −0.175684 0.177862i
\(433\) −20.9401 −1.00632 −0.503158 0.864195i \(-0.667829\pi\)
−0.503158 + 0.864195i \(0.667829\pi\)
\(434\) 33.8707 + 28.4209i 1.62585 + 1.36425i
\(435\) 3.89292 + 1.55582i 0.186651 + 0.0745960i
\(436\) −1.72705 9.79461i −0.0827109 0.469077i
\(437\) 5.12381 + 1.86492i 0.245105 + 0.0892110i
\(438\) −0.523003 + 0.844034i −0.0249901 + 0.0403295i
\(439\) −4.98629 + 28.2787i −0.237983 + 1.34967i 0.598258 + 0.801304i \(0.295860\pi\)
−0.836240 + 0.548363i \(0.815251\pi\)
\(440\) 1.68378 2.91639i 0.0802709 0.139033i
\(441\) −16.7211 + 25.1972i −0.796243 + 1.19987i
\(442\) 1.88581 + 3.26632i 0.0896989 + 0.155363i
\(443\) 14.2882 5.20050i 0.678855 0.247083i 0.0204992 0.999790i \(-0.493474\pi\)
0.658356 + 0.752707i \(0.271252\pi\)
\(444\) 0.623166 2.98701i 0.0295742 0.141757i
\(445\) 7.03547 5.90346i 0.333513 0.279851i
\(446\) −0.968926 + 0.813026i −0.0458800 + 0.0384979i
\(447\) −2.41723 + 11.5865i −0.114331 + 0.548022i
\(448\) −3.88358 + 1.41351i −0.183482 + 0.0667820i
\(449\) 6.21048 + 10.7569i 0.293091 + 0.507648i 0.974539 0.224218i \(-0.0719828\pi\)
−0.681448 + 0.731866i \(0.738649\pi\)
\(450\) −13.3281 0.831206i −0.628293 0.0391834i
\(451\) 5.85769 10.1458i 0.275828 0.477748i
\(452\) 0.425670 2.41409i 0.0200218 0.113549i
\(453\) −4.74998 + 7.66562i −0.223173 + 0.360162i
\(454\) −9.34189 3.40017i −0.438437 0.159578i
\(455\) −0.459899 2.60822i −0.0215604 0.122275i
\(456\) 2.50249 + 1.00013i 0.117190 + 0.0468354i
\(457\) −8.30728 6.97064i −0.388598 0.326073i 0.427468 0.904030i \(-0.359405\pi\)
−0.816067 + 0.577957i \(0.803850\pi\)
\(458\) −9.98234 −0.466444
\(459\) −13.1071 + 18.4756i −0.611786 + 0.862365i
\(460\) 2.59581 0.121030
\(461\) −6.28283 5.27192i −0.292621 0.245538i 0.484644 0.874711i \(-0.338949\pi\)
−0.777265 + 0.629173i \(0.783394\pi\)
\(462\) −4.65050 32.2097i −0.216361 1.49853i
\(463\) −5.84350 33.1401i −0.271571 1.54015i −0.749649 0.661836i \(-0.769778\pi\)
0.478078 0.878317i \(-0.341333\pi\)
\(464\) 3.07060 + 1.11761i 0.142549 + 0.0518837i
\(465\) −6.48946 12.0948i −0.300942 0.560885i
\(466\) −4.71508 + 26.7405i −0.218422 + 1.23873i
\(467\) −5.43426 + 9.41241i −0.251467 + 0.435554i −0.963930 0.266156i \(-0.914246\pi\)
0.712463 + 0.701710i \(0.247580\pi\)
\(468\) 2.08822 1.54133i 0.0965280 0.0712482i
\(469\) −27.0948 46.9296i −1.25112 2.16701i
\(470\) 6.74924 2.45652i 0.311319 0.113311i
\(471\) 6.53519 2.15064i 0.301125 0.0990964i
\(472\) 1.09659 0.920149i 0.0504747 0.0423533i
\(473\) −9.59003 + 8.04699i −0.440950 + 0.370001i
\(474\) −8.73022 7.80142i −0.400992 0.358331i
\(475\) 6.50827 2.36882i 0.298620 0.108689i
\(476\) 9.00852 + 15.6032i 0.412905 + 0.715172i
\(477\) 2.82122 11.6895i 0.129175 0.535227i
\(478\) 9.76807 16.9188i 0.446781 0.773847i
\(479\) −3.26943 + 18.5418i −0.149384 + 0.847198i 0.814358 + 0.580363i \(0.197089\pi\)
−0.963742 + 0.266836i \(0.914022\pi\)
\(480\) 1.28234 + 0.0399478i 0.0585307 + 0.00182336i
\(481\) 1.43221 + 0.521280i 0.0653030 + 0.0237683i
\(482\) 2.81574 + 15.9689i 0.128254 + 0.727362i
\(483\) 19.7095 15.5186i 0.896812 0.706119i
\(484\) 7.40693 + 6.21515i 0.336679 + 0.282507i
\(485\) −4.26267 −0.193558
\(486\) 13.6443 + 7.53876i 0.618918 + 0.341965i
\(487\) 32.9521 1.49320 0.746601 0.665272i \(-0.231685\pi\)
0.746601 + 0.665272i \(0.231685\pi\)
\(488\) −3.31616 2.78258i −0.150115 0.125962i
\(489\) −3.19401 + 2.51486i −0.144438 + 0.113726i
\(490\) −1.29656 7.35317i −0.0585727 0.332183i
\(491\) −32.5492 11.8469i −1.46892 0.534645i −0.521116 0.853486i \(-0.674484\pi\)
−0.947808 + 0.318841i \(0.896706\pi\)
\(492\) 4.46114 + 0.138974i 0.201124 + 0.00626545i
\(493\) 2.47369 14.0290i 0.111409 0.631834i
\(494\) −0.673056 + 1.16577i −0.0302822 + 0.0524503i
\(495\) −2.37018 + 9.82070i −0.106532 + 0.441407i
\(496\) −5.34926 9.26519i −0.240189 0.416019i
\(497\) 19.7451 7.18664i 0.885690 0.322365i
\(498\) −11.9122 10.6449i −0.533800 0.477009i
\(499\) 18.1706 15.2470i 0.813428 0.682547i −0.137995 0.990433i \(-0.544066\pi\)
0.951423 + 0.307886i \(0.0996214\pi\)
\(500\) 5.36292 4.50002i 0.239837 0.201247i
\(501\) −1.73183 + 0.569921i −0.0773724 + 0.0254622i
\(502\) −22.0457 + 8.02398i −0.983948 + 0.358128i
\(503\) −16.0067 27.7243i −0.713701 1.23617i −0.963458 0.267858i \(-0.913684\pi\)
0.249757 0.968309i \(-0.419649\pi\)
\(504\) 9.97541 7.36294i 0.444340 0.327972i
\(505\) −4.08861 + 7.08168i −0.181941 + 0.315131i
\(506\) −2.76661 + 15.6902i −0.122991 + 0.697517i
\(507\) −10.0328 18.6987i −0.445571 0.830440i
\(508\) −7.61406 2.77129i −0.337819 0.122956i
\(509\) 6.91488 + 39.2162i 0.306497 + 1.73823i 0.616376 + 0.787452i \(0.288600\pi\)
−0.309879 + 0.950776i \(0.600289\pi\)
\(510\) −0.799252 5.53569i −0.0353915 0.245124i
\(511\) −1.81494 1.52291i −0.0802881 0.0673697i
\(512\) 1.00000 0.0441942
\(513\) −8.04958 0.754239i −0.355398 0.0333005i
\(514\) 21.9904 0.969956
\(515\) 3.64369 + 3.05742i 0.160560 + 0.134726i
\(516\) −4.42883 1.77000i −0.194968 0.0779199i
\(517\) 7.65500 + 43.4136i 0.336666 + 1.90933i
\(518\) 6.84164 + 2.49015i 0.300604 + 0.109411i
\(519\) 6.23372 10.0601i 0.273630 0.441590i
\(520\) −0.111280 + 0.631099i −0.00487994 + 0.0276755i
\(521\) −1.81609 + 3.14555i −0.0795642 + 0.137809i −0.903062 0.429510i \(-0.858686\pi\)
0.823498 + 0.567319i \(0.192020\pi\)
\(522\) −9.78400 0.610178i −0.428234 0.0267068i
\(523\) −6.50104 11.2601i −0.284270 0.492371i 0.688162 0.725558i \(-0.258418\pi\)
−0.972432 + 0.233187i \(0.925085\pi\)
\(524\) 14.9361 5.43628i 0.652485 0.237485i
\(525\) 6.50748 31.1922i 0.284010 1.36134i
\(526\) −17.9888 + 15.0944i −0.784349 + 0.658147i
\(527\) −35.7285 + 29.9797i −1.55636 + 1.30594i
\(528\) −1.60819 + 7.70850i −0.0699873 + 0.335469i
\(529\) 10.0725 3.66609i 0.437935 0.159395i
\(530\) 1.48455 + 2.57131i 0.0644847 + 0.111691i
\(531\) −2.37458 + 3.57828i −0.103048 + 0.155284i
\(532\) −3.21518 + 5.56886i −0.139396 + 0.241441i
\(533\) −0.387131 + 2.19553i −0.0167685 + 0.0950989i
\(534\) −11.3117 + 18.2550i −0.489505 + 0.789973i
\(535\) −12.0363 4.38085i −0.520374 0.189401i
\(536\) 2.27688 + 12.9128i 0.0983462 + 0.557749i
\(537\) −3.53443 1.41255i −0.152522 0.0609560i
\(538\) 14.0187 + 11.7631i 0.604388 + 0.507142i
\(539\) 45.8278 1.97394
\(540\) −3.72381 + 0.973248i −0.160247 + 0.0418819i
\(541\) −31.1320 −1.33847 −0.669235 0.743051i \(-0.733378\pi\)
−0.669235 + 0.743051i \(0.733378\pi\)
\(542\) −12.6263 10.5947i −0.542347 0.455083i
\(543\) 3.89580 + 26.9826i 0.167185 + 1.15794i
\(544\) −0.757019 4.29327i −0.0324569 0.184072i
\(545\) −6.92270 2.51966i −0.296536 0.107930i
\(546\) 2.92799 + 5.45708i 0.125306 + 0.233541i
\(547\) 3.35773 19.0426i 0.143566 0.814204i −0.824941 0.565219i \(-0.808792\pi\)
0.968507 0.248985i \(-0.0800970\pi\)
\(548\) 6.17817 10.7009i 0.263918 0.457120i
\(549\) 11.9035 + 5.19274i 0.508027 + 0.221621i
\(550\) 10.1186 + 17.5259i 0.431459 + 0.747308i
\(551\) 4.77764 1.73892i 0.203534 0.0740804i
\(552\) −5.76568 + 1.89741i −0.245404 + 0.0807590i
\(553\) 21.4005 17.9572i 0.910044 0.763617i
\(554\) 8.63485 7.24550i 0.366860 0.307832i
\(555\) −1.68532 1.50602i −0.0715380 0.0639271i
\(556\) 4.11905 1.49921i 0.174686 0.0635807i
\(557\) 0.618509 + 1.07129i 0.0262070 + 0.0453919i 0.878831 0.477132i \(-0.158324\pi\)
−0.852624 + 0.522524i \(0.824990\pi\)
\(558\) 23.2548 + 22.1210i 0.984455 + 0.936456i
\(559\) 1.19115 2.06314i 0.0503804 0.0872614i
\(560\) −0.531583 + 3.01476i −0.0224635 + 0.127397i
\(561\) 34.3121 + 1.06890i 1.44866 + 0.0451289i
\(562\) 0.681601 + 0.248083i 0.0287516 + 0.0104647i
\(563\) −3.63180 20.5969i −0.153062 0.868057i −0.960536 0.278155i \(-0.910277\pi\)
0.807474 0.589903i \(-0.200834\pi\)
\(564\) −13.1955 + 10.3897i −0.555630 + 0.437484i
\(565\) −1.39095 1.16714i −0.0585176 0.0491021i
\(566\) −22.1382 −0.930539
\(567\) −22.4558 + 29.6518i −0.943056 + 1.24526i
\(568\) −5.08426 −0.213331
\(569\) −4.70347 3.94668i −0.197180 0.165453i 0.538852 0.842400i \(-0.318858\pi\)
−0.736032 + 0.676947i \(0.763303\pi\)
\(570\) 1.56839 1.23490i 0.0656927 0.0517242i
\(571\) 2.98710 + 16.9407i 0.125006 + 0.708946i 0.981304 + 0.192464i \(0.0616478\pi\)
−0.856298 + 0.516483i \(0.827241\pi\)
\(572\) −3.69605 1.34525i −0.154540 0.0562478i
\(573\) −13.5751 0.422895i −0.567109 0.0176667i
\(574\) −1.84932 + 10.4880i −0.0771893 + 0.437762i
\(575\) −7.79970 + 13.5095i −0.325270 + 0.563384i
\(576\) −2.87748 + 0.848600i −0.119895 + 0.0353583i
\(577\) 7.08481 + 12.2713i 0.294945 + 0.510859i 0.974972 0.222328i \(-0.0713655\pi\)
−0.680027 + 0.733187i \(0.738032\pi\)
\(578\) −1.88432 + 0.685836i −0.0783773 + 0.0285270i
\(579\) 21.3624 + 19.0897i 0.887793 + 0.793341i
\(580\) 1.85416 1.55582i 0.0769897 0.0646020i
\(581\) 29.2007 24.5023i 1.21145 1.01653i
\(582\) 9.46803 3.11580i 0.392462 0.129154i
\(583\) −17.1244 + 6.23278i −0.709221 + 0.258135i
\(584\) 0.286636 + 0.496469i 0.0118611 + 0.0205440i
\(585\) −0.215346 1.91040i −0.00890345 0.0789855i
\(586\) 3.27929 5.67990i 0.135466 0.234635i
\(587\) 5.83795 33.1087i 0.240958 1.36654i −0.588737 0.808324i \(-0.700375\pi\)
0.829695 0.558217i \(-0.188514\pi\)
\(588\) 8.25467 + 15.3848i 0.340417 + 0.634458i
\(589\) −15.6422 5.69331i −0.644527 0.234589i
\(590\) −0.184126 1.04423i −0.00758035 0.0429903i
\(591\) 2.81572 + 19.5019i 0.115823 + 0.802202i
\(592\) −1.34953 1.13239i −0.0554653 0.0465409i
\(593\) 6.82673 0.280340 0.140170 0.990127i \(-0.455235\pi\)
0.140170 + 0.990127i \(0.455235\pi\)
\(594\) −1.91391 23.5457i −0.0785288 0.966093i
\(595\) 13.3456 0.547116
\(596\) 5.23476 + 4.39248i 0.214424 + 0.179923i
\(597\) 3.01168 + 1.20363i 0.123260 + 0.0492613i
\(598\) −0.526477 2.98580i −0.0215293 0.122099i
\(599\) 27.5399 + 10.0237i 1.12525 + 0.409557i 0.836565 0.547867i \(-0.184560\pi\)
0.288684 + 0.957424i \(0.406782\pi\)
\(600\) −4.06100 + 6.55373i −0.165790 + 0.267555i
\(601\) −0.803257 + 4.55550i −0.0327655 + 0.185823i −0.996798 0.0799624i \(-0.974520\pi\)
0.964032 + 0.265785i \(0.0856311\pi\)
\(602\) 5.69013 9.85559i 0.231912 0.401684i
\(603\) −17.5095 35.2242i −0.713042 1.43444i
\(604\) 2.60327 + 4.50899i 0.105925 + 0.183468i
\(605\) 6.73014 2.44957i 0.273619 0.0995893i
\(606\) 3.90506 18.7180i 0.158632 0.760369i
\(607\) −10.3745 + 8.70526i −0.421089 + 0.353335i −0.828577 0.559875i \(-0.810849\pi\)
0.407488 + 0.913210i \(0.366405\pi\)
\(608\) 1.19191 1.00013i 0.0483383 0.0405607i
\(609\) 4.77706 22.8978i 0.193576 0.927866i
\(610\) −3.01315 + 1.09670i −0.121999 + 0.0444040i
\(611\) −4.19446 7.26502i −0.169690 0.293911i
\(612\) 5.82158 + 11.7114i 0.235323 + 0.473405i
\(613\) −14.9136 + 25.8311i −0.602354 + 1.04331i 0.390110 + 0.920768i \(0.372437\pi\)
−0.992464 + 0.122539i \(0.960896\pi\)
\(614\) 1.38481 7.85365i 0.0558864 0.316948i
\(615\) 1.74138 2.81028i 0.0702192 0.113321i
\(616\) −17.6560 6.42626i −0.711381 0.258922i
\(617\) −5.84851 33.1685i −0.235452 1.33531i −0.841660 0.540008i \(-0.818421\pi\)
0.606208 0.795306i \(-0.292690\pi\)
\(618\) −10.3280 4.12763i −0.415454 0.166038i
\(619\) 27.2839 + 22.8939i 1.09663 + 0.920182i 0.997194 0.0748615i \(-0.0238515\pi\)
0.0994367 + 0.995044i \(0.468296\pi\)
\(620\) −7.92461 −0.318260
\(621\) 14.9805 10.3525i 0.601145 0.415432i
\(622\) 14.1480 0.567285
\(623\) −39.2541 32.9381i −1.57268 1.31964i
\(624\) −0.214133 1.48311i −0.00857219 0.0593717i
\(625\) 2.96435 + 16.8117i 0.118574 + 0.672467i
\(626\) −22.5917 8.22270i −0.902945 0.328645i
\(627\) 5.79269 + 10.7962i 0.231338 + 0.431160i
\(628\) 0.689756 3.91180i 0.0275243 0.156098i
\(629\) −3.84003 + 6.65113i −0.153112 + 0.265198i
\(630\) −1.02871 9.12600i −0.0409846 0.363588i
\(631\) 19.6546 + 34.0427i 0.782436 + 1.35522i 0.930519 + 0.366243i \(0.119356\pi\)
−0.148083 + 0.988975i \(0.547310\pi\)
\(632\) −6.35200 + 2.31194i −0.252669 + 0.0919640i
\(633\) 8.99976 2.96170i 0.357708 0.117717i
\(634\) 13.9364 11.6941i 0.553486 0.464430i
\(635\) −4.59768 + 3.85791i −0.182453 + 0.153097i
\(636\) −5.17691 4.62614i −0.205278 0.183438i
\(637\) −8.19495 + 2.98272i −0.324696 + 0.118180i
\(638\) 7.42794 + 12.8656i 0.294075 + 0.509353i
\(639\) 14.6298 4.31450i 0.578747 0.170679i
\(640\) 0.370360 0.641483i 0.0146398 0.0253568i
\(641\) −4.79194 + 27.1764i −0.189270 + 1.07340i 0.731075 + 0.682297i \(0.239019\pi\)
−0.920345 + 0.391107i \(0.872092\pi\)
\(642\) 29.9366 + 0.932590i 1.18150 + 0.0368064i
\(643\) −30.6010 11.1378i −1.20678 0.439234i −0.341197 0.939992i \(-0.610832\pi\)
−0.865587 + 0.500758i \(0.833055\pi\)
\(644\) −2.51498 14.2632i −0.0991041 0.562047i
\(645\) −2.77569 + 2.18548i −0.109293 + 0.0860532i
\(646\) −5.19613 4.36007i −0.204439 0.171545i
\(647\) −11.8337 −0.465232 −0.232616 0.972569i \(-0.574728\pi\)
−0.232616 + 0.972569i \(0.574728\pi\)
\(648\) 7.55976 4.88366i 0.296975 0.191848i
\(649\) 6.50805 0.255463
\(650\) −2.95009 2.47542i −0.115712 0.0970940i
\(651\) −60.1701 + 47.3759i −2.35825 + 1.85681i
\(652\) 0.407565 + 2.31141i 0.0159615 + 0.0905219i
\(653\) 1.90882 + 0.694752i 0.0746978 + 0.0271878i 0.379099 0.925356i \(-0.376234\pi\)
−0.304401 + 0.952544i \(0.598456\pi\)
\(654\) 17.2181 + 0.536382i 0.673281 + 0.0209742i
\(655\) 2.04444 11.5946i 0.0798830 0.453039i
\(656\) 1.28845 2.23165i 0.0503054 0.0871314i
\(657\) −1.24609 1.18534i −0.0486147 0.0462445i
\(658\) −20.0369 34.7050i −0.781120 1.35294i
\(659\) −45.4410 + 16.5392i −1.77013 + 0.644275i −0.770151 + 0.637861i \(0.779819\pi\)
−0.999979 + 0.00641394i \(0.997958\pi\)
\(660\) 4.34926 + 3.88654i 0.169295 + 0.151284i
\(661\) −13.0788 + 10.9744i −0.508706 + 0.426855i −0.860673 0.509157i \(-0.829957\pi\)
0.351968 + 0.936012i \(0.385513\pi\)
\(662\) 13.7587 11.5449i 0.534747 0.448706i
\(663\) −6.20527 + 2.04207i −0.240993 + 0.0793075i
\(664\) −8.66720 + 3.15460i −0.336352 + 0.122422i
\(665\) 2.38155 + 4.12497i 0.0923527 + 0.159960i
\(666\) 4.84418 + 2.11321i 0.187708 + 0.0818854i
\(667\) −5.72567 + 9.91715i −0.221699 + 0.383993i
\(668\) −0.182786 + 1.03663i −0.00707220 + 0.0401084i
\(669\) −1.03578 1.93045i −0.0400456 0.0746356i
\(670\) 9.12662 + 3.32182i 0.352592 + 0.128333i
\(671\) −3.41752 19.3817i −0.131932 0.748224i
\(672\) −1.02291 7.08479i −0.0394598 0.273302i
\(673\) −22.8356 19.1613i −0.880247 0.738615i 0.0859825 0.996297i \(-0.472597\pi\)
−0.966230 + 0.257681i \(0.917042\pi\)
\(674\) −23.4959 −0.905027
\(675\) 6.12394 22.3044i 0.235711 0.858496i
\(676\) −12.2515 −0.471212
\(677\) 6.10334 + 5.12131i 0.234570 + 0.196828i 0.752494 0.658599i \(-0.228851\pi\)
−0.517924 + 0.855427i \(0.673295\pi\)
\(678\) 3.94263 + 1.57569i 0.151416 + 0.0605139i
\(679\) 4.12994 + 23.4221i 0.158493 + 0.898856i
\(680\) −3.03443 1.10444i −0.116365 0.0423534i
\(681\) 9.06968 14.6368i 0.347551 0.560885i
\(682\) 8.44606 47.9000i 0.323416 1.83419i
\(683\) 15.1593 26.2566i 0.580054 1.00468i −0.415419 0.909630i \(-0.636365\pi\)
0.995472 0.0950521i \(-0.0303018\pi\)
\(684\) −2.58098 + 3.88931i −0.0986863 + 0.148711i
\(685\) −4.57630 7.92638i −0.174851 0.302851i
\(686\) −11.9622 + 4.35388i −0.456719 + 0.166232i
\(687\) 3.53109 16.9255i 0.134719 0.645748i
\(688\) −2.10940 + 1.77000i −0.0804202 + 0.0674806i
\(689\) 2.65653 2.22910i 0.101206 0.0849218i
\(690\) −0.918223 + 4.40131i −0.0349562 + 0.167555i
\(691\) −24.9197 + 9.07005i −0.947992 + 0.345041i −0.769317 0.638867i \(-0.779403\pi\)
−0.178675 + 0.983908i \(0.557181\pi\)
\(692\) −3.41644 5.91745i −0.129874 0.224948i
\(693\) 56.2581 + 3.50853i 2.13707 + 0.133278i
\(694\) −4.16620 + 7.21608i −0.158147 + 0.273919i
\(695\) 0.563813 3.19754i 0.0213867 0.121290i
\(696\) −2.98113 + 4.81101i −0.112999 + 0.182361i
\(697\) −10.5565 3.84224i −0.399855 0.145535i
\(698\) −0.919463 5.21453i −0.0348022 0.197373i
\(699\) −43.6719 17.4536i −1.65182 0.660158i
\(700\) −14.0926 11.8251i −0.532649 0.446946i
\(701\) 46.2262 1.74594 0.872971 0.487773i \(-0.162191\pi\)
0.872971 + 0.487773i \(0.162191\pi\)
\(702\) 1.87473 + 4.08589i 0.0707570 + 0.154212i
\(703\) −2.74105 −0.103381
\(704\) 3.48269 + 2.92232i 0.131259 + 0.110139i
\(705\) 1.77771 + 12.3126i 0.0669525 + 0.463719i
\(706\) 6.00160 + 34.0368i 0.225873 + 1.28099i
\(707\) 42.8730 + 15.6045i 1.61240 + 0.586867i
\(708\) 1.17225 + 2.18481i 0.0440560 + 0.0821101i
\(709\) 5.30328 30.0764i 0.199169 1.12954i −0.707186 0.707027i \(-0.750036\pi\)
0.906355 0.422516i \(-0.138853\pi\)
\(710\) −1.88301 + 3.26146i −0.0706680 + 0.122401i
\(711\) 16.3158 12.0429i 0.611891 0.451642i
\(712\) 6.19947 + 10.7378i 0.232335 + 0.402416i
\(713\) 35.2312 12.8231i 1.31942 0.480229i
\(714\) −29.6426 + 9.75497i −1.10934 + 0.365071i
\(715\) −2.23183 + 1.87272i −0.0834656 + 0.0700359i
\(716\) −1.68341 + 1.41255i −0.0629120 + 0.0527894i
\(717\) 25.2313 + 22.5469i 0.942279 + 0.842031i
\(718\) 24.1480 8.78915i 0.901195 0.328008i
\(719\) −3.46256 5.99733i −0.129132 0.223663i 0.794209 0.607645i \(-0.207886\pi\)
−0.923340 + 0.383982i \(0.874552\pi\)
\(720\) −0.521341 + 2.16014i −0.0194292 + 0.0805037i
\(721\) 13.2694 22.9832i 0.494177 0.855939i
\(722\) −2.87893 + 16.3272i −0.107143 + 0.607636i
\(723\) −28.0720 0.874503i −1.04401 0.0325231i
\(724\) 14.7907 + 5.38339i 0.549693 + 0.200072i
\(725\) 2.52580 + 14.3245i 0.0938057 + 0.531999i
\(726\) −13.1581 + 10.3603i −0.488345 + 0.384506i
\(727\) −16.6231 13.9485i −0.616517 0.517319i 0.280189 0.959945i \(-0.409603\pi\)
−0.896707 + 0.442625i \(0.854047\pi\)
\(728\) 3.57551 0.132517
\(729\) −17.6088 + 20.4678i −0.652176 + 0.758067i
\(730\) 0.424635 0.0157164
\(731\) 9.19595 + 7.71631i 0.340124 + 0.285398i
\(732\) 5.89103 4.63840i 0.217739 0.171440i
\(733\) 6.80782 + 38.6090i 0.251452 + 1.42606i 0.805017 + 0.593251i \(0.202156\pi\)
−0.553565 + 0.832806i \(0.686733\pi\)
\(734\) −10.6739 3.88499i −0.393981 0.143397i
\(735\) 12.9263 + 0.402682i 0.476793 + 0.0148531i
\(736\) −0.608539 + 3.45119i −0.0224310 + 0.127213i
\(737\) −29.8057 + 51.6251i −1.09791 + 1.90163i
\(738\) −1.81369 + 7.51491i −0.0667629 + 0.276628i
\(739\) 15.4039 + 26.6804i 0.566643 + 0.981454i 0.996895 + 0.0787451i \(0.0250913\pi\)
−0.430252 + 0.902709i \(0.641575\pi\)
\(740\) −1.22622 + 0.446307i −0.0450767 + 0.0164066i
\(741\) −1.73853 1.55357i −0.0638664 0.0570717i
\(742\) 12.6903 10.6484i 0.465874 0.390915i
\(743\) 24.4602 20.5245i 0.897357 0.752972i −0.0723153 0.997382i \(-0.523039\pi\)
0.969672 + 0.244410i \(0.0785943\pi\)
\(744\) 17.6018 5.79250i 0.645312 0.212363i
\(745\) 4.75645 1.73121i 0.174263 0.0634265i
\(746\) 14.3521 + 24.8585i 0.525466 + 0.910134i
\(747\) 22.2627 16.4323i 0.814548 0.601226i
\(748\) 9.90985 17.1644i 0.362340 0.627591i
\(749\) −12.4099 + 70.3801i −0.453448 + 2.57163i
\(750\) 5.73295 + 10.6849i 0.209338 + 0.390157i
\(751\) −2.85191 1.03801i −0.104068 0.0378776i 0.289462 0.957190i \(-0.406524\pi\)
−0.393529 + 0.919312i \(0.628746\pi\)
\(752\) 1.68378 + 9.54918i 0.0614010 + 0.348223i
\(753\) −5.80672 40.2178i −0.211609 1.46562i
\(754\) −2.16563 1.81718i −0.0788675 0.0661777i
\(755\) 3.85659 0.140356
\(756\) 8.95557 + 19.5183i 0.325711 + 0.709873i
\(757\) 10.7254 0.389823 0.194912 0.980821i \(-0.437558\pi\)
0.194912 + 0.980821i \(0.437558\pi\)
\(758\) −17.6568 14.8158i −0.641323 0.538134i
\(759\) −25.6249 10.2411i −0.930124 0.371728i
\(760\) −0.200131 1.13500i −0.00725951 0.0411707i
\(761\) −25.4656 9.26871i −0.923126 0.335990i −0.163645 0.986519i \(-0.552325\pi\)
−0.759481 + 0.650529i \(0.774547\pi\)
\(762\) 7.39219 11.9297i 0.267791 0.432167i
\(763\) −7.13760 + 40.4793i −0.258398 + 1.46545i