Properties

Label 273.2.bf.b.152.5
Level $273$
Weight $2$
Character 273.152
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [273,2,Mod(152,273)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(273, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 5, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("273.152");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bf (of order \(6\), degree \(2\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 152.5
Character \(\chi\) \(=\) 273.152
Dual form 273.2.bf.b.185.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.70697 + 0.985518i) q^{2} +(-1.16871 - 1.27832i) q^{3} +(0.942492 - 1.63244i) q^{4} +(-0.272603 + 0.472162i) q^{5} +(3.25477 + 1.03026i) q^{6} +(-2.22004 + 1.43924i) q^{7} -0.226699i q^{8} +(-0.268213 + 2.98799i) q^{9} +O(q^{10})\) \(q+(-1.70697 + 0.985518i) q^{2} +(-1.16871 - 1.27832i) q^{3} +(0.942492 - 1.63244i) q^{4} +(-0.272603 + 0.472162i) q^{5} +(3.25477 + 1.03026i) q^{6} +(-2.22004 + 1.43924i) q^{7} -0.226699i q^{8} +(-0.268213 + 2.98799i) q^{9} -1.07462i q^{10} -0.443067i q^{11} +(-3.18829 + 0.703053i) q^{12} +(2.64192 - 2.45362i) q^{13} +(2.37115 - 4.64463i) q^{14} +(0.922169 - 0.203348i) q^{15} +(2.10840 + 3.65186i) q^{16} +(1.91940 - 3.32449i) q^{17} +(-2.48688 - 5.36472i) q^{18} +0.0828692i q^{19} +(0.513852 + 0.890018i) q^{20} +(4.43441 + 1.15587i) q^{21} +(0.436651 + 0.756301i) q^{22} +(6.20148 - 3.58043i) q^{23} +(-0.289794 + 0.264946i) q^{24} +(2.35138 + 4.07270i) q^{25} +(-2.09158 + 6.79191i) q^{26} +(4.13307 - 3.14924i) q^{27} +(0.257103 + 4.98057i) q^{28} +(3.66493 + 2.11595i) q^{29} +(-1.37371 + 1.25592i) q^{30} +(5.32612 - 3.07503i) q^{31} +(-6.80529 - 3.92904i) q^{32} +(-0.566382 + 0.517819i) q^{33} +7.56640i q^{34} +(-0.0743633 - 1.44056i) q^{35} +(4.62493 + 3.25400i) q^{36} +(1.97108 + 3.41402i) q^{37} +(-0.0816691 - 0.141455i) q^{38} +(-6.22417 - 0.509638i) q^{39} +(0.107038 + 0.0617987i) q^{40} +(-2.97274 + 5.14894i) q^{41} +(-8.70852 + 2.39715i) q^{42} +(-3.19077 - 5.52657i) q^{43} +(-0.723283 - 0.417588i) q^{44} +(-1.33770 - 0.941173i) q^{45} +(-7.05715 + 12.2233i) q^{46} +(-0.322950 + 0.559365i) q^{47} +(2.20413 - 6.96319i) q^{48} +(2.85719 - 6.39034i) q^{49} +(-8.02744 - 4.63465i) q^{50} +(-6.49300 + 1.43178i) q^{51} +(-1.51541 - 6.62531i) q^{52} +(7.39479 - 4.26939i) q^{53} +(-3.95139 + 9.44887i) q^{54} +(0.209199 + 0.120781i) q^{55} +(0.326274 + 0.503281i) q^{56} +(0.105933 - 0.0968504i) q^{57} -8.34122 q^{58} +(2.92420 - 5.06487i) q^{59} +(0.537183 - 1.69704i) q^{60} -5.50735i q^{61} +(-6.06101 + 10.4980i) q^{62} +(-3.70498 - 7.01948i) q^{63} +7.05494 q^{64} +(0.438312 + 1.91628i) q^{65} +(0.456476 - 1.44208i) q^{66} -10.0664 q^{67} +(-3.61803 - 6.26662i) q^{68} +(-11.8247 - 3.74299i) q^{69} +(1.54663 + 2.38570i) q^{70} +(-7.56167 + 4.36573i) q^{71} +(0.677373 + 0.0608036i) q^{72} +(12.7809 - 7.37904i) q^{73} +(-6.72915 - 3.88508i) q^{74} +(2.45814 - 7.76564i) q^{75} +(0.135279 + 0.0781036i) q^{76} +(0.637679 + 0.983629i) q^{77} +(11.1267 - 5.26410i) q^{78} +(-5.78537 + 10.0206i) q^{79} -2.29902 q^{80} +(-8.85612 - 1.60283i) q^{81} -11.7188i q^{82} -1.87826 q^{83} +(6.06629 - 6.14952i) q^{84} +(1.04647 + 1.81253i) q^{85} +(10.8931 + 6.28912i) q^{86} +(-1.57839 - 7.15790i) q^{87} -0.100443 q^{88} +(6.61697 + 11.4609i) q^{89} +(3.21095 + 0.288227i) q^{90} +(-2.33383 + 9.24950i) q^{91} -13.4981i q^{92} +(-10.1556 - 3.21465i) q^{93} -1.27309i q^{94} +(-0.0391276 - 0.0225904i) q^{95} +(2.93087 + 13.2913i) q^{96} +(-1.99439 + 1.15146i) q^{97} +(1.42067 + 13.7239i) q^{98} +(1.32388 + 0.118836i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q + 32 q^{4} - 12 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q + 32 q^{4} - 12 q^{6} - 4 q^{7} + 8 q^{9} + 6 q^{12} - 12 q^{13} - 9 q^{15} - 16 q^{16} + 2 q^{18} + 10 q^{21} + 10 q^{22} - 24 q^{25} - 50 q^{28} - 16 q^{30} - 24 q^{31} - 33 q^{39} + 90 q^{40} - 48 q^{42} - 20 q^{43} - 3 q^{45} + 6 q^{48} - 10 q^{51} + 30 q^{52} - 27 q^{54} + 18 q^{55} + 4 q^{57} - 60 q^{58} + 55 q^{60} - 74 q^{63} - 84 q^{64} + 75 q^{66} - 88 q^{67} - 33 q^{69} + 20 q^{70} - 34 q^{72} + 84 q^{73} + 33 q^{75} + 18 q^{76} - 71 q^{78} + 20 q^{79} - 32 q^{81} - 6 q^{84} - 2 q^{85} + 3 q^{87} + 92 q^{88} - 76 q^{91} + 28 q^{93} + 30 q^{96} + 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.70697 + 0.985518i −1.20701 + 0.696867i −0.962105 0.272681i \(-0.912090\pi\)
−0.244904 + 0.969547i \(0.578756\pi\)
\(3\) −1.16871 1.27832i −0.674758 0.738039i
\(4\) 0.942492 1.63244i 0.471246 0.816222i
\(5\) −0.272603 + 0.472162i −0.121912 + 0.211157i −0.920521 0.390692i \(-0.872236\pi\)
0.798610 + 0.601849i \(0.205569\pi\)
\(6\) 3.25477 + 1.03026i 1.32875 + 0.420604i
\(7\) −2.22004 + 1.43924i −0.839098 + 0.543981i
\(8\) 0.226699i 0.0801501i
\(9\) −0.268213 + 2.98799i −0.0894043 + 0.995995i
\(10\) 1.07462i 0.339825i
\(11\) 0.443067i 0.133590i −0.997767 0.0667949i \(-0.978723\pi\)
0.997767 0.0667949i \(-0.0212773\pi\)
\(12\) −3.18829 + 0.703053i −0.920381 + 0.202954i
\(13\) 2.64192 2.45362i 0.732737 0.680512i
\(14\) 2.37115 4.64463i 0.633716 1.24133i
\(15\) 0.922169 0.203348i 0.238103 0.0525043i
\(16\) 2.10840 + 3.65186i 0.527100 + 0.912964i
\(17\) 1.91940 3.32449i 0.465522 0.806308i −0.533703 0.845672i \(-0.679200\pi\)
0.999225 + 0.0393642i \(0.0125332\pi\)
\(18\) −2.48688 5.36472i −0.586164 1.26448i
\(19\) 0.0828692i 0.0190115i 0.999955 + 0.00950575i \(0.00302582\pi\)
−0.999955 + 0.00950575i \(0.996974\pi\)
\(20\) 0.513852 + 0.890018i 0.114901 + 0.199014i
\(21\) 4.43441 + 1.15587i 0.967667 + 0.252232i
\(22\) 0.436651 + 0.756301i 0.0930943 + 0.161244i
\(23\) 6.20148 3.58043i 1.29310 0.746571i 0.313896 0.949457i \(-0.398366\pi\)
0.979202 + 0.202887i \(0.0650323\pi\)
\(24\) −0.289794 + 0.264946i −0.0591540 + 0.0540819i
\(25\) 2.35138 + 4.07270i 0.470275 + 0.814540i
\(26\) −2.09158 + 6.79191i −0.410193 + 1.33200i
\(27\) 4.13307 3.14924i 0.795410 0.606072i
\(28\) 0.257103 + 4.98057i 0.0485878 + 0.941239i
\(29\) 3.66493 + 2.11595i 0.680560 + 0.392922i 0.800066 0.599912i \(-0.204798\pi\)
−0.119506 + 0.992834i \(0.538131\pi\)
\(30\) −1.37371 + 1.25592i −0.250804 + 0.229299i
\(31\) 5.32612 3.07503i 0.956599 0.552293i 0.0614742 0.998109i \(-0.480420\pi\)
0.895125 + 0.445816i \(0.147086\pi\)
\(32\) −6.80529 3.92904i −1.20302 0.694562i
\(33\) −0.566382 + 0.517819i −0.0985945 + 0.0901407i
\(34\) 7.56640i 1.29763i
\(35\) −0.0743633 1.44056i −0.0125697 0.243499i
\(36\) 4.62493 + 3.25400i 0.770822 + 0.542333i
\(37\) 1.97108 + 3.41402i 0.324044 + 0.561261i 0.981318 0.192391i \(-0.0616241\pi\)
−0.657274 + 0.753651i \(0.728291\pi\)
\(38\) −0.0816691 0.141455i −0.0132485 0.0229470i
\(39\) −6.22417 0.509638i −0.996665 0.0816074i
\(40\) 0.107038 + 0.0617987i 0.0169243 + 0.00977123i
\(41\) −2.97274 + 5.14894i −0.464265 + 0.804130i −0.999168 0.0407834i \(-0.987015\pi\)
0.534903 + 0.844913i \(0.320348\pi\)
\(42\) −8.70852 + 2.39715i −1.34375 + 0.369889i
\(43\) −3.19077 5.52657i −0.486588 0.842795i 0.513293 0.858213i \(-0.328425\pi\)
−0.999881 + 0.0154185i \(0.995092\pi\)
\(44\) −0.723283 0.417588i −0.109039 0.0629537i
\(45\) −1.33770 0.941173i −0.199412 0.140302i
\(46\) −7.05715 + 12.2233i −1.04052 + 1.80223i
\(47\) −0.322950 + 0.559365i −0.0471071 + 0.0815918i −0.888618 0.458649i \(-0.848334\pi\)
0.841510 + 0.540241i \(0.181667\pi\)
\(48\) 2.20413 6.96319i 0.318139 1.00505i
\(49\) 2.85719 6.39034i 0.408170 0.912906i
\(50\) −8.02744 4.63465i −1.13525 0.655438i
\(51\) −6.49300 + 1.43178i −0.909202 + 0.200489i
\(52\) −1.51541 6.62531i −0.210150 0.918765i
\(53\) 7.39479 4.26939i 1.01575 0.586445i 0.102882 0.994694i \(-0.467194\pi\)
0.912871 + 0.408248i \(0.133860\pi\)
\(54\) −3.95139 + 9.44887i −0.537716 + 1.28583i
\(55\) 0.209199 + 0.120781i 0.0282084 + 0.0162861i
\(56\) 0.326274 + 0.503281i 0.0436001 + 0.0672538i
\(57\) 0.105933 0.0968504i 0.0140312 0.0128281i
\(58\) −8.34122 −1.09526
\(59\) 2.92420 5.06487i 0.380699 0.659390i −0.610464 0.792044i \(-0.709017\pi\)
0.991162 + 0.132655i \(0.0423501\pi\)
\(60\) 0.537183 1.69704i 0.0693500 0.219087i
\(61\) 5.50735i 0.705143i −0.935785 0.352572i \(-0.885307\pi\)
0.935785 0.352572i \(-0.114693\pi\)
\(62\) −6.06101 + 10.4980i −0.769749 + 1.33324i
\(63\) −3.70498 7.01948i −0.466784 0.884372i
\(64\) 7.05494 0.881868
\(65\) 0.438312 + 1.91628i 0.0543660 + 0.237685i
\(66\) 0.456476 1.44208i 0.0561884 0.177508i
\(67\) −10.0664 −1.22981 −0.614904 0.788602i \(-0.710805\pi\)
−0.614904 + 0.788602i \(0.710805\pi\)
\(68\) −3.61803 6.26662i −0.438751 0.759939i
\(69\) −11.8247 3.74299i −1.42353 0.450603i
\(70\) 1.54663 + 2.38570i 0.184858 + 0.285146i
\(71\) −7.56167 + 4.36573i −0.897405 + 0.518117i −0.876357 0.481662i \(-0.840033\pi\)
−0.0210474 + 0.999778i \(0.506700\pi\)
\(72\) 0.677373 + 0.0608036i 0.0798292 + 0.00716577i
\(73\) 12.7809 7.37904i 1.49589 0.863651i 0.495898 0.868381i \(-0.334839\pi\)
0.999989 + 0.00472968i \(0.00150551\pi\)
\(74\) −6.72915 3.88508i −0.782248 0.451631i
\(75\) 2.45814 7.76564i 0.283841 0.896699i
\(76\) 0.135279 + 0.0781036i 0.0155176 + 0.00895909i
\(77\) 0.637679 + 0.983629i 0.0726703 + 0.112095i
\(78\) 11.1267 5.26410i 1.25985 0.596041i
\(79\) −5.78537 + 10.0206i −0.650905 + 1.12740i 0.331999 + 0.943280i \(0.392277\pi\)
−0.982904 + 0.184120i \(0.941056\pi\)
\(80\) −2.29902 −0.257039
\(81\) −8.85612 1.60283i −0.984014 0.178093i
\(82\) 11.7188i 1.29412i
\(83\) −1.87826 −0.206166 −0.103083 0.994673i \(-0.532871\pi\)
−0.103083 + 0.994673i \(0.532871\pi\)
\(84\) 6.06629 6.14952i 0.661887 0.670968i
\(85\) 1.04647 + 1.81253i 0.113505 + 0.196597i
\(86\) 10.8931 + 6.28912i 1.17463 + 0.678174i
\(87\) −1.57839 7.15790i −0.169222 0.767407i
\(88\) −0.100443 −0.0107072
\(89\) 6.61697 + 11.4609i 0.701397 + 1.21486i 0.967976 + 0.251042i \(0.0807733\pi\)
−0.266579 + 0.963813i \(0.585893\pi\)
\(90\) 3.21095 + 0.288227i 0.338464 + 0.0303818i
\(91\) −2.33383 + 9.24950i −0.244652 + 0.969611i
\(92\) 13.4981i 1.40727i
\(93\) −10.1556 3.21465i −1.05309 0.333344i
\(94\) 1.27309i 0.131309i
\(95\) −0.0391276 0.0225904i −0.00401441 0.00231772i
\(96\) 2.93087 + 13.2913i 0.299131 + 1.35653i
\(97\) −1.99439 + 1.15146i −0.202499 + 0.116913i −0.597821 0.801630i \(-0.703967\pi\)
0.395321 + 0.918543i \(0.370633\pi\)
\(98\) 1.42067 + 13.7239i 0.143510 + 1.38633i
\(99\) 1.32388 + 0.118836i 0.133055 + 0.0119435i
\(100\) 8.86462 0.886462
\(101\) 13.4423 1.33756 0.668779 0.743461i \(-0.266817\pi\)
0.668779 + 0.743461i \(0.266817\pi\)
\(102\) 9.67230 8.84296i 0.957700 0.875584i
\(103\) −3.33506 1.92550i −0.328613 0.189725i 0.326612 0.945159i \(-0.394093\pi\)
−0.655225 + 0.755434i \(0.727426\pi\)
\(104\) −0.556233 0.598920i −0.0545432 0.0587289i
\(105\) −1.75459 + 1.77866i −0.171230 + 0.173580i
\(106\) −8.41512 + 14.5754i −0.817348 + 1.41569i
\(107\) 0.664019 0.383371i 0.0641931 0.0370619i −0.467560 0.883961i \(-0.654867\pi\)
0.531753 + 0.846899i \(0.321533\pi\)
\(108\) −1.24557 9.71515i −0.119855 0.934841i
\(109\) 1.63804 + 2.83717i 0.156896 + 0.271752i 0.933748 0.357932i \(-0.116518\pi\)
−0.776852 + 0.629683i \(0.783185\pi\)
\(110\) −0.476129 −0.0453971
\(111\) 2.06058 6.50969i 0.195581 0.617872i
\(112\) −9.93663 5.07279i −0.938924 0.479334i
\(113\) −17.1700 + 9.91313i −1.61522 + 0.932548i −0.627088 + 0.778948i \(0.715753\pi\)
−0.988133 + 0.153600i \(0.950913\pi\)
\(114\) −0.0853772 + 0.269720i −0.00799630 + 0.0252616i
\(115\) 3.90414i 0.364063i
\(116\) 6.90834 3.98853i 0.641423 0.370326i
\(117\) 6.62279 + 8.55211i 0.612277 + 0.790643i
\(118\) 11.5274i 1.06119i
\(119\) 0.523593 + 10.1430i 0.0479977 + 0.929806i
\(120\) −0.0460988 0.209055i −0.00420823 0.0190840i
\(121\) 10.8037 0.982154
\(122\) 5.42759 + 9.40086i 0.491391 + 0.851114i
\(123\) 10.0563 2.21752i 0.906745 0.199947i
\(124\) 11.5928i 1.04106i
\(125\) −5.28999 −0.473151
\(126\) 13.2421 + 8.33070i 1.17970 + 0.742158i
\(127\) −2.52619 + 4.37549i −0.224163 + 0.388262i −0.956068 0.293145i \(-0.905298\pi\)
0.731905 + 0.681407i \(0.238631\pi\)
\(128\) 1.56802 0.905296i 0.138595 0.0800176i
\(129\) −3.33564 + 10.5378i −0.293687 + 0.927803i
\(130\) −2.63671 2.83906i −0.231255 0.249002i
\(131\) 9.22290 15.9745i 0.805808 1.39570i −0.109936 0.993939i \(-0.535065\pi\)
0.915744 0.401762i \(-0.131602\pi\)
\(132\) 0.311500 + 1.41263i 0.0271126 + 0.122954i
\(133\) −0.119268 0.183973i −0.0103419 0.0159525i
\(134\) 17.1830 9.92063i 1.48439 0.857012i
\(135\) 0.360264 + 2.80997i 0.0310066 + 0.241844i
\(136\) −0.753659 0.435125i −0.0646257 0.0373117i
\(137\) 10.2663 + 5.92728i 0.877113 + 0.506402i 0.869706 0.493571i \(-0.164309\pi\)
0.00740785 + 0.999973i \(0.497642\pi\)
\(138\) 23.8732 5.26429i 2.03222 0.448126i
\(139\) 13.1770 7.60777i 1.11766 0.645282i 0.176859 0.984236i \(-0.443406\pi\)
0.940803 + 0.338954i \(0.110073\pi\)
\(140\) −2.42172 1.23632i −0.204673 0.104488i
\(141\) 1.09248 0.240905i 0.0920038 0.0202878i
\(142\) 8.60501 14.9043i 0.722117 1.25074i
\(143\) −1.08712 1.17055i −0.0909095 0.0978861i
\(144\) −11.4772 + 5.32040i −0.956433 + 0.443366i
\(145\) −1.99814 + 1.15363i −0.165936 + 0.0958034i
\(146\) −14.5444 + 25.1916i −1.20370 + 2.08487i
\(147\) −11.5081 + 3.81608i −0.949176 + 0.314745i
\(148\) 7.43092 0.610818
\(149\) 4.62977i 0.379285i −0.981853 0.189643i \(-0.939267\pi\)
0.981853 0.189643i \(-0.0607330\pi\)
\(150\) 3.45722 + 15.6782i 0.282281 + 1.28012i
\(151\) −6.21552 10.7656i −0.505812 0.876091i −0.999977 0.00672369i \(-0.997860\pi\)
0.494166 0.869368i \(-0.335474\pi\)
\(152\) 0.0187863 0.00152377
\(153\) 9.41873 + 6.62680i 0.761459 + 0.535745i
\(154\) −2.05788 1.05058i −0.165829 0.0846580i
\(155\) 3.35305i 0.269323i
\(156\) −6.69819 + 9.68028i −0.536284 + 0.775043i
\(157\) −7.76199 + 4.48138i −0.619474 + 0.357653i −0.776664 0.629915i \(-0.783090\pi\)
0.157190 + 0.987568i \(0.449756\pi\)
\(158\) 22.8063i 1.81438i
\(159\) −14.1001 4.46323i −1.11821 0.353957i
\(160\) 3.71028 2.14213i 0.293323 0.169350i
\(161\) −8.61447 + 16.8741i −0.678916 + 1.32987i
\(162\) 16.6967 5.99189i 1.31182 0.470767i
\(163\) 19.6967 1.54277 0.771383 0.636371i \(-0.219565\pi\)
0.771383 + 0.636371i \(0.219565\pi\)
\(164\) 5.60358 + 9.70568i 0.437566 + 0.757886i
\(165\) −0.0900969 0.408583i −0.00701404 0.0318081i
\(166\) 3.20613 1.85106i 0.248844 0.143670i
\(167\) 5.40460 9.36105i 0.418221 0.724380i −0.577540 0.816362i \(-0.695987\pi\)
0.995761 + 0.0919829i \(0.0293205\pi\)
\(168\) 0.262035 1.00527i 0.0202164 0.0775586i
\(169\) 0.959472 12.9645i 0.0738056 0.997273i
\(170\) −3.57256 2.06262i −0.274003 0.158196i
\(171\) −0.247612 0.0222266i −0.0189354 0.00169971i
\(172\) −12.0291 −0.917211
\(173\) −2.68748 −0.204325 −0.102163 0.994768i \(-0.532576\pi\)
−0.102163 + 0.994768i \(0.532576\pi\)
\(174\) 9.74851 + 10.6628i 0.739033 + 0.808342i
\(175\) −11.0817 5.65739i −0.837701 0.427658i
\(176\) 1.61802 0.934163i 0.121963 0.0704152i
\(177\) −9.89209 + 2.18131i −0.743535 + 0.163957i
\(178\) −22.5899 13.0423i −1.69318 0.977560i
\(179\) 3.07072i 0.229517i 0.993393 + 0.114758i \(0.0366094\pi\)
−0.993393 + 0.114758i \(0.963391\pi\)
\(180\) −2.79718 + 1.29667i −0.208490 + 0.0966479i
\(181\) 14.8814i 1.10613i −0.833139 0.553063i \(-0.813459\pi\)
0.833139 0.553063i \(-0.186541\pi\)
\(182\) −5.13178 18.0886i −0.380393 1.34082i
\(183\) −7.04016 + 6.43651i −0.520424 + 0.475801i
\(184\) −0.811679 1.40587i −0.0598377 0.103642i
\(185\) −2.14929 −0.158019
\(186\) 20.5034 4.52121i 1.50338 0.331511i
\(187\) −1.47297 0.850422i −0.107715 0.0621890i
\(188\) 0.608755 + 1.05440i 0.0443980 + 0.0768997i
\(189\) −4.64309 + 12.9399i −0.337735 + 0.941241i
\(190\) 0.0890528 0.00646057
\(191\) 2.14782i 0.155411i 0.996976 + 0.0777054i \(0.0247594\pi\)
−0.996976 + 0.0777054i \(0.975241\pi\)
\(192\) −8.24522 9.01849i −0.595047 0.650853i
\(193\) 14.3300 1.03150 0.515749 0.856740i \(-0.327514\pi\)
0.515749 + 0.856740i \(0.327514\pi\)
\(194\) 2.26957 3.93101i 0.162946 0.282230i
\(195\) 1.93736 2.79988i 0.138737 0.200504i
\(196\) −7.73901 10.6871i −0.552786 0.763361i
\(197\) −11.1575 6.44181i −0.794942 0.458960i 0.0467573 0.998906i \(-0.485111\pi\)
−0.841700 + 0.539946i \(0.818445\pi\)
\(198\) −2.37693 + 1.10186i −0.168921 + 0.0783056i
\(199\) −0.514680 0.297150i −0.0364847 0.0210644i 0.481647 0.876365i \(-0.340039\pi\)
−0.518131 + 0.855301i \(0.673372\pi\)
\(200\) 0.923277 0.533054i 0.0652855 0.0376926i
\(201\) 11.7648 + 12.8681i 0.829822 + 0.907647i
\(202\) −22.9456 + 13.2476i −1.61444 + 0.932100i
\(203\) −11.1817 + 0.577210i −0.784799 + 0.0405122i
\(204\) −3.78231 + 11.9489i −0.264814 + 0.836590i
\(205\) −1.62076 2.80723i −0.113198 0.196066i
\(206\) 7.59046 0.528852
\(207\) 9.03495 + 19.4903i 0.627972 + 1.35467i
\(208\) 14.5305 + 4.47469i 1.00751 + 0.310264i
\(209\) 0.0367166 0.00253974
\(210\) 1.24212 4.76530i 0.0857146 0.328837i
\(211\) −0.381963 + 0.661579i −0.0262954 + 0.0455450i −0.878874 0.477055i \(-0.841704\pi\)
0.852578 + 0.522600i \(0.175038\pi\)
\(212\) 16.0955i 1.10544i
\(213\) 14.4182 + 4.56395i 0.987921 + 0.312717i
\(214\) −0.755639 + 1.30880i −0.0516544 + 0.0894681i
\(215\) 3.47925 0.237283
\(216\) −0.713929 0.936963i −0.0485767 0.0637522i
\(217\) −7.39850 + 14.4923i −0.502243 + 0.983799i
\(218\) −5.59217 3.22864i −0.378749 0.218671i
\(219\) −24.3700 7.71407i −1.64677 0.521269i
\(220\) 0.394338 0.227671i 0.0265862 0.0153496i
\(221\) −3.08616 13.4925i −0.207598 0.907605i
\(222\) 2.89808 + 13.1426i 0.194506 + 0.882071i
\(223\) 2.67954 + 1.54704i 0.179435 + 0.103597i 0.587027 0.809567i \(-0.300298\pi\)
−0.407592 + 0.913164i \(0.633631\pi\)
\(224\) 20.7629 1.07180i 1.38728 0.0716128i
\(225\) −12.7998 + 5.93353i −0.853323 + 0.395568i
\(226\) 19.5391 33.8428i 1.29972 2.25119i
\(227\) −2.32037 + 4.01899i −0.154008 + 0.266750i −0.932697 0.360660i \(-0.882552\pi\)
0.778689 + 0.627410i \(0.215885\pi\)
\(228\) −0.0582614 0.264211i −0.00385846 0.0174978i
\(229\) 12.0558 + 6.96041i 0.796669 + 0.459957i 0.842305 0.539001i \(-0.181198\pi\)
−0.0456363 + 0.998958i \(0.514532\pi\)
\(230\) −3.84760 6.66423i −0.253703 0.439427i
\(231\) 0.512129 1.96474i 0.0336956 0.129270i
\(232\) 0.479683 0.830835i 0.0314927 0.0545470i
\(233\) −22.1345 12.7794i −1.45008 0.837205i −0.451596 0.892222i \(-0.649145\pi\)
−0.998485 + 0.0550173i \(0.982479\pi\)
\(234\) −19.7332 8.07129i −1.29000 0.527637i
\(235\) −0.176074 0.304969i −0.0114858 0.0198940i
\(236\) −5.51208 9.54720i −0.358806 0.621470i
\(237\) 19.5709 4.31560i 1.27127 0.280328i
\(238\) −10.8899 16.7977i −0.705884 1.08884i
\(239\) 15.5619i 1.00662i −0.864106 0.503309i \(-0.832116\pi\)
0.864106 0.503309i \(-0.167884\pi\)
\(240\) 2.68690 + 2.93889i 0.173439 + 0.189705i
\(241\) 4.20390 + 2.42712i 0.270797 + 0.156345i 0.629250 0.777203i \(-0.283362\pi\)
−0.358453 + 0.933548i \(0.616696\pi\)
\(242\) −18.4416 + 10.6472i −1.18547 + 0.684430i
\(243\) 8.30134 + 13.1942i 0.532531 + 0.846410i
\(244\) −8.99044 5.19063i −0.575554 0.332296i
\(245\) 2.23840 + 3.09108i 0.143006 + 0.197482i
\(246\) −14.9804 + 13.6959i −0.955113 + 0.873219i
\(247\) 0.203330 + 0.218934i 0.0129376 + 0.0139304i
\(248\) −0.697107 1.20742i −0.0442663 0.0766715i
\(249\) 2.19515 + 2.40102i 0.139112 + 0.152159i
\(250\) 9.02984 5.21338i 0.571097 0.329723i
\(251\) 12.6213 + 21.8608i 0.796650 + 1.37984i 0.921786 + 0.387699i \(0.126730\pi\)
−0.125136 + 0.992140i \(0.539937\pi\)
\(252\) −14.9508 0.567634i −0.941814 0.0357576i
\(253\) −1.58637 2.74767i −0.0997342 0.172745i
\(254\) 9.95842i 0.624847i
\(255\) 1.09398 3.45605i 0.0685076 0.216426i
\(256\) −8.83932 + 15.3101i −0.552457 + 0.956884i
\(257\) −7.66759 13.2807i −0.478291 0.828424i 0.521399 0.853313i \(-0.325410\pi\)
−0.999690 + 0.0248885i \(0.992077\pi\)
\(258\) −4.69138 21.2751i −0.292072 1.32453i
\(259\) −9.28947 4.74241i −0.577220 0.294679i
\(260\) 3.54132 + 1.09056i 0.219623 + 0.0676334i
\(261\) −7.30541 + 10.3832i −0.452193 + 0.642706i
\(262\) 36.3573i 2.24616i
\(263\) 6.67043i 0.411317i −0.978624 0.205658i \(-0.934066\pi\)
0.978624 0.205658i \(-0.0659335\pi\)
\(264\) 0.117389 + 0.128398i 0.00722479 + 0.00790237i
\(265\) 4.65538i 0.285978i
\(266\) 0.384896 + 0.196495i 0.0235995 + 0.0120479i
\(267\) 6.91740 21.8532i 0.423338 1.33739i
\(268\) −9.48752 + 16.4329i −0.579543 + 1.00380i
\(269\) 0.262266 0.454258i 0.0159906 0.0276966i −0.857919 0.513784i \(-0.828243\pi\)
0.873910 + 0.486088i \(0.161576\pi\)
\(270\) −3.38423 4.44148i −0.205958 0.270300i
\(271\) −24.9306 + 14.3937i −1.51442 + 0.874353i −0.514567 + 0.857450i \(0.672047\pi\)
−0.999857 + 0.0169029i \(0.994619\pi\)
\(272\) 16.1874 0.981507
\(273\) 14.5514 7.82664i 0.880692 0.473690i
\(274\) −23.3658 −1.41158
\(275\) 1.80448 1.04182i 0.108814 0.0628240i
\(276\) −17.2549 + 15.7754i −1.03862 + 0.949569i
\(277\) −8.70752 + 15.0819i −0.523184 + 0.906182i 0.476452 + 0.879201i \(0.341923\pi\)
−0.999636 + 0.0269811i \(0.991411\pi\)
\(278\) −14.9952 + 25.9724i −0.899352 + 1.55772i
\(279\) 7.75963 + 16.7391i 0.464557 + 1.00215i
\(280\) −0.326573 + 0.0168581i −0.0195165 + 0.00100746i
\(281\) 20.8248i 1.24230i 0.783690 + 0.621152i \(0.213335\pi\)
−0.783690 + 0.621152i \(0.786665\pi\)
\(282\) −1.62742 + 1.48788i −0.0969115 + 0.0886020i
\(283\) 27.4519i 1.63184i 0.578162 + 0.815922i \(0.303770\pi\)
−0.578162 + 0.815922i \(0.696230\pi\)
\(284\) 16.4587i 0.976642i
\(285\) 0.0168513 + 0.0764194i 0.000998185 + 0.00452669i
\(286\) 3.00927 + 0.926711i 0.177942 + 0.0547976i
\(287\) −0.810935 15.7094i −0.0478680 0.927294i
\(288\) 13.5652 19.2803i 0.799336 1.13610i
\(289\) 1.13183 + 1.96039i 0.0665784 + 0.115317i
\(290\) 2.27384 3.93841i 0.133524 0.231271i
\(291\) 3.80281 + 1.20374i 0.222924 + 0.0705645i
\(292\) 27.8187i 1.62797i
\(293\) −11.5362 19.9814i −0.673955 1.16732i −0.976773 0.214276i \(-0.931261\pi\)
0.302818 0.953048i \(-0.402072\pi\)
\(294\) 15.8832 17.8554i 0.926328 1.04135i
\(295\) 1.59429 + 2.76139i 0.0928232 + 0.160775i
\(296\) 0.773953 0.446842i 0.0449851 0.0259722i
\(297\) −1.39533 1.83123i −0.0809650 0.106259i
\(298\) 4.56272 + 7.90286i 0.264311 + 0.457801i
\(299\) 7.59880 24.6753i 0.439450 1.42701i
\(300\) −10.3602 11.3318i −0.598147 0.654244i
\(301\) 15.0377 + 7.67696i 0.866759 + 0.442493i
\(302\) 21.2194 + 12.2510i 1.22104 + 0.704966i
\(303\) −15.7102 17.1836i −0.902528 0.987171i
\(304\) −0.302626 + 0.174721i −0.0173568 + 0.0100210i
\(305\) 2.60036 + 1.50132i 0.148896 + 0.0859652i
\(306\) −22.6083 2.02941i −1.29243 0.116014i
\(307\) 7.55190i 0.431010i 0.976503 + 0.215505i \(0.0691397\pi\)
−0.976503 + 0.215505i \(0.930860\pi\)
\(308\) 2.20673 0.113914i 0.125740 0.00649084i
\(309\) 1.43633 + 6.51364i 0.0817098 + 0.370548i
\(310\) −3.30449 5.72355i −0.187683 0.325076i
\(311\) −4.74562 8.21965i −0.269099 0.466094i 0.699530 0.714603i \(-0.253393\pi\)
−0.968629 + 0.248509i \(0.920059\pi\)
\(312\) −0.115534 + 1.41101i −0.00654085 + 0.0798828i
\(313\) −5.53459 3.19540i −0.312834 0.180615i 0.335360 0.942090i \(-0.391142\pi\)
−0.648194 + 0.761475i \(0.724475\pi\)
\(314\) 8.83297 15.2992i 0.498474 0.863381i
\(315\) 4.32432 + 0.164180i 0.243648 + 0.00925051i
\(316\) 10.9053 + 18.8886i 0.613473 + 1.06257i
\(317\) 16.6710 + 9.62501i 0.936337 + 0.540595i 0.888810 0.458275i \(-0.151533\pi\)
0.0475271 + 0.998870i \(0.484866\pi\)
\(318\) 28.4669 6.27727i 1.59635 0.352012i
\(319\) 0.937507 1.62381i 0.0524903 0.0909159i
\(320\) −1.92320 + 3.33107i −0.107510 + 0.186213i
\(321\) −1.26612 0.400778i −0.0706679 0.0223692i
\(322\) −1.92512 37.2933i −0.107283 2.07827i
\(323\) 0.275498 + 0.159059i 0.0153291 + 0.00885027i
\(324\) −10.9634 + 12.9465i −0.609076 + 0.719249i
\(325\) 16.2050 + 4.99036i 0.898893 + 0.276815i
\(326\) −33.6217 + 19.4115i −1.86213 + 1.07510i
\(327\) 1.71241 5.40979i 0.0946967 0.299162i
\(328\) 1.16726 + 0.673917i 0.0644511 + 0.0372109i
\(329\) −0.0880975 1.70662i −0.00485697 0.0940888i
\(330\) 0.556458 + 0.608646i 0.0306320 + 0.0335048i
\(331\) 9.16309 0.503649 0.251824 0.967773i \(-0.418969\pi\)
0.251824 + 0.967773i \(0.418969\pi\)
\(332\) −1.77025 + 3.06616i −0.0971549 + 0.168277i
\(333\) −10.7297 + 4.97389i −0.587984 + 0.272567i
\(334\) 21.3053i 1.16578i
\(335\) 2.74413 4.75297i 0.149928 0.259683i
\(336\) 5.12843 + 18.6309i 0.279779 + 1.01640i
\(337\) 29.6751 1.61651 0.808253 0.588836i \(-0.200413\pi\)
0.808253 + 0.588836i \(0.200413\pi\)
\(338\) 11.1390 + 23.0756i 0.605882 + 1.25515i
\(339\) 32.7390 + 10.3632i 1.77814 + 0.562853i
\(340\) 3.94514 0.213955
\(341\) −1.36245 2.35983i −0.0737806 0.127792i
\(342\) 0.444570 0.206086i 0.0240396 0.0111439i
\(343\) 2.85415 + 18.2990i 0.154109 + 0.988054i
\(344\) −1.25287 + 0.723344i −0.0675501 + 0.0390001i
\(345\) 4.99074 4.56282i 0.268693 0.245654i
\(346\) 4.58744 2.64856i 0.246622 0.142387i
\(347\) 20.8730 + 12.0510i 1.12052 + 0.646933i 0.941534 0.336918i \(-0.109385\pi\)
0.178987 + 0.983851i \(0.442718\pi\)
\(348\) −13.1725 4.16963i −0.706120 0.223515i
\(349\) −8.15072 4.70582i −0.436298 0.251897i 0.265728 0.964048i \(-0.414388\pi\)
−0.702026 + 0.712151i \(0.747721\pi\)
\(350\) 24.4916 1.26429i 1.30913 0.0675789i
\(351\) 3.19220 18.4610i 0.170387 0.985377i
\(352\) −1.74083 + 3.01520i −0.0927864 + 0.160711i
\(353\) −35.2328 −1.87525 −0.937627 0.347643i \(-0.886982\pi\)
−0.937627 + 0.347643i \(0.886982\pi\)
\(354\) 14.7358 13.4723i 0.783197 0.716043i
\(355\) 4.76044i 0.252658i
\(356\) 24.9458 1.32212
\(357\) 12.3541 12.5236i 0.653847 0.662818i
\(358\) −3.02626 5.24163i −0.159943 0.277029i
\(359\) −15.9685 9.21941i −0.842784 0.486582i 0.0154255 0.999881i \(-0.495090\pi\)
−0.858210 + 0.513299i \(0.828423\pi\)
\(360\) −0.213363 + 0.303254i −0.0112452 + 0.0159829i
\(361\) 18.9931 0.999639
\(362\) 14.6659 + 25.4021i 0.770822 + 1.33510i
\(363\) −12.6264 13.8106i −0.662716 0.724868i
\(364\) 12.8997 + 12.5274i 0.676127 + 0.656616i
\(365\) 8.04618i 0.421156i
\(366\) 5.67402 17.9251i 0.296586 0.936961i
\(367\) 11.7599i 0.613862i −0.951732 0.306931i \(-0.900698\pi\)
0.951732 0.306931i \(-0.0993020\pi\)
\(368\) 26.1504 + 15.0980i 1.36318 + 0.787035i
\(369\) −14.5876 10.2635i −0.759402 0.534298i
\(370\) 3.66877 2.11816i 0.190730 0.110118i
\(371\) −10.2721 + 20.1211i −0.533301 + 1.04464i
\(372\) −14.8193 + 13.5487i −0.768346 + 0.702465i
\(373\) −25.4328 −1.31686 −0.658429 0.752643i \(-0.728779\pi\)
−0.658429 + 0.752643i \(0.728779\pi\)
\(374\) 3.35242 0.173350
\(375\) 6.18249 + 6.76231i 0.319262 + 0.349204i
\(376\) 0.126807 + 0.0732123i 0.00653959 + 0.00377564i
\(377\) 14.8742 3.40219i 0.766060 0.175222i
\(378\) −4.82692 26.6639i −0.248270 1.37144i
\(379\) 5.01100 8.67931i 0.257398 0.445826i −0.708146 0.706066i \(-0.750468\pi\)
0.965544 + 0.260240i \(0.0838016\pi\)
\(380\) −0.0737550 + 0.0425825i −0.00378355 + 0.00218444i
\(381\) 8.54567 1.88441i 0.437808 0.0965414i
\(382\) −2.11672 3.66626i −0.108301 0.187582i
\(383\) −20.2869 −1.03661 −0.518306 0.855195i \(-0.673437\pi\)
−0.518306 + 0.855195i \(0.673437\pi\)
\(384\) −2.98983 0.946400i −0.152574 0.0482958i
\(385\) −0.638265 + 0.0329479i −0.0325290 + 0.00167918i
\(386\) −24.4609 + 14.1225i −1.24503 + 0.718817i
\(387\) 17.3691 8.05168i 0.882923 0.409290i
\(388\) 4.34097i 0.220379i
\(389\) 0.485213 0.280138i 0.0246013 0.0142036i −0.487649 0.873040i \(-0.662145\pi\)
0.512250 + 0.858836i \(0.328812\pi\)
\(390\) −0.547667 + 6.68861i −0.0277322 + 0.338691i
\(391\) 27.4890i 1.39018i
\(392\) −1.44868 0.647721i −0.0731696 0.0327148i
\(393\) −31.1995 + 6.87983i −1.57381 + 0.347041i
\(394\) 25.3941 1.27934
\(395\) −3.15421 5.46326i −0.158706 0.274886i
\(396\) 1.44174 2.04916i 0.0724501 0.102974i
\(397\) 37.4275i 1.87843i −0.343327 0.939216i \(-0.611554\pi\)
0.343327 0.939216i \(-0.388446\pi\)
\(398\) 1.17139 0.0587164
\(399\) −0.0957861 + 0.367476i −0.00479530 + 0.0183968i
\(400\) −9.91528 + 17.1738i −0.495764 + 0.858689i
\(401\) −31.7771 + 18.3465i −1.58687 + 0.916182i −0.593055 + 0.805162i \(0.702078\pi\)
−0.993818 + 0.111020i \(0.964588\pi\)
\(402\) −32.7638 10.3711i −1.63411 0.517262i
\(403\) 6.52619 21.1923i 0.325093 1.05566i
\(404\) 12.6693 21.9438i 0.630320 1.09175i
\(405\) 3.17100 3.74458i 0.157568 0.186070i
\(406\) 18.5179 12.0050i 0.919027 0.595799i
\(407\) 1.51264 0.873322i 0.0749787 0.0432890i
\(408\) 0.324582 + 1.47195i 0.0160692 + 0.0728726i
\(409\) −20.2547 11.6941i −1.00153 0.578234i −0.0928296 0.995682i \(-0.529591\pi\)
−0.908701 + 0.417448i \(0.862925\pi\)
\(410\) 5.53315 + 3.19457i 0.273263 + 0.157768i
\(411\) −4.42146 20.0510i −0.218095 0.989043i
\(412\) −6.28654 + 3.62954i −0.309716 + 0.178814i
\(413\) 0.797694 + 15.4529i 0.0392519 + 0.760385i
\(414\) −34.6304 24.3651i −1.70199 1.19748i
\(415\) 0.512019 0.886842i 0.0251340 0.0435334i
\(416\) −27.6194 + 6.31742i −1.35415 + 0.309737i
\(417\) −25.1254 7.95319i −1.23039 0.389469i
\(418\) −0.0626741 + 0.0361849i −0.00306549 + 0.00176986i
\(419\) −3.06783 + 5.31364i −0.149873 + 0.259588i −0.931180 0.364559i \(-0.881220\pi\)
0.781307 + 0.624147i \(0.214553\pi\)
\(420\) 1.24988 + 4.54065i 0.0609880 + 0.221561i
\(421\) 11.6799 0.569243 0.284622 0.958640i \(-0.408132\pi\)
0.284622 + 0.958640i \(0.408132\pi\)
\(422\) 1.50573i 0.0732976i
\(423\) −1.58476 1.11500i −0.0770535 0.0542131i
\(424\) −0.967865 1.67639i −0.0470037 0.0814128i
\(425\) 18.0529 0.875694
\(426\) −29.1093 + 6.41892i −1.41035 + 0.310998i
\(427\) 7.92638 + 12.2265i 0.383585 + 0.591684i
\(428\) 1.44530i 0.0698611i
\(429\) −0.225804 + 2.75772i −0.0109019 + 0.133144i
\(430\) −5.93897 + 3.42886i −0.286402 + 0.165354i
\(431\) 12.5743i 0.605683i −0.953041 0.302841i \(-0.902065\pi\)
0.953041 0.302841i \(-0.0979353\pi\)
\(432\) 20.2147 + 8.45353i 0.972583 + 0.406721i
\(433\) −33.2740 + 19.2107i −1.59905 + 0.923209i −0.607374 + 0.794416i \(0.707777\pi\)
−0.991671 + 0.128794i \(0.958889\pi\)
\(434\) −1.65338 32.0292i −0.0793649 1.53745i
\(435\) 3.80996 + 1.20601i 0.182674 + 0.0578235i
\(436\) 6.17537 0.295746
\(437\) 0.296707 + 0.513912i 0.0141934 + 0.0245837i
\(438\) 49.2011 10.8494i 2.35092 0.518403i
\(439\) 4.74254 2.73811i 0.226349 0.130683i −0.382538 0.923940i \(-0.624950\pi\)
0.608887 + 0.793257i \(0.291616\pi\)
\(440\) 0.0273810 0.0474252i 0.00130534 0.00226091i
\(441\) 18.3279 + 10.2512i 0.872758 + 0.488153i
\(442\) 18.5651 + 19.9898i 0.883052 + 0.950819i
\(443\) 32.4866 + 18.7562i 1.54349 + 0.891133i 0.998615 + 0.0526134i \(0.0167551\pi\)
0.544872 + 0.838519i \(0.316578\pi\)
\(444\) −8.68463 9.49911i −0.412154 0.450808i
\(445\) −7.21521 −0.342034
\(446\) −6.09853 −0.288774
\(447\) −5.91833 + 5.41088i −0.279928 + 0.255926i
\(448\) −15.6623 + 10.1537i −0.739973 + 0.479719i
\(449\) 8.43932 4.87244i 0.398276 0.229945i −0.287464 0.957791i \(-0.592812\pi\)
0.685740 + 0.727847i \(0.259479\pi\)
\(450\) 16.0013 22.7428i 0.754310 1.07211i
\(451\) 2.28133 + 1.31713i 0.107424 + 0.0620210i
\(452\) 37.3722i 1.75784i
\(453\) −6.49772 + 20.5273i −0.305290 + 0.964458i
\(454\) 9.14705i 0.429293i
\(455\) −3.73105 3.62338i −0.174914 0.169867i
\(456\) −0.0219559 0.0240150i −0.00102818 0.00112460i
\(457\) 1.26587 + 2.19255i 0.0592148 + 0.102563i 0.894113 0.447841i \(-0.147807\pi\)
−0.834898 + 0.550404i \(0.814474\pi\)
\(458\) −27.4384 −1.28211
\(459\) −2.53662 19.7850i −0.118399 0.923485i
\(460\) 6.37329 + 3.67962i 0.297156 + 0.171563i
\(461\) −6.39308 11.0731i −0.297755 0.515727i 0.677867 0.735185i \(-0.262905\pi\)
−0.975622 + 0.219457i \(0.929571\pi\)
\(462\) 1.06210 + 3.85846i 0.0494134 + 0.179512i
\(463\) 8.19368 0.380792 0.190396 0.981707i \(-0.439023\pi\)
0.190396 + 0.981707i \(0.439023\pi\)
\(464\) 17.8451i 0.828437i
\(465\) 4.28628 3.91876i 0.198771 0.181728i
\(466\) 50.3773 2.33368
\(467\) −17.8200 + 30.8651i −0.824610 + 1.42827i 0.0776075 + 0.996984i \(0.475272\pi\)
−0.902217 + 0.431282i \(0.858061\pi\)
\(468\) 20.2028 2.75104i 0.933874 0.127167i
\(469\) 22.3479 14.4880i 1.03193 0.668992i
\(470\) 0.601105 + 0.347048i 0.0277269 + 0.0160081i
\(471\) 14.8002 + 4.68486i 0.681957 + 0.215867i
\(472\) −1.14820 0.662913i −0.0528502 0.0305131i
\(473\) −2.44864 + 1.41373i −0.112589 + 0.0650032i
\(474\) −29.1538 + 26.6541i −1.33908 + 1.22426i
\(475\) −0.337501 + 0.194857i −0.0154856 + 0.00894063i
\(476\) 17.0514 + 8.70495i 0.781547 + 0.398991i
\(477\) 10.7735 + 23.2406i 0.493284 + 1.06412i
\(478\) 15.3366 + 26.5637i 0.701479 + 1.21500i
\(479\) 9.71227 0.443765 0.221882 0.975073i \(-0.428780\pi\)
0.221882 + 0.975073i \(0.428780\pi\)
\(480\) −7.07459 2.23939i −0.322909 0.102214i
\(481\) 13.5841 + 4.18326i 0.619384 + 0.190740i
\(482\) −9.56790 −0.435806
\(483\) 31.6384 8.70896i 1.43960 0.396271i
\(484\) 10.1824 17.6364i 0.462836 0.801656i
\(485\) 1.25556i 0.0570122i
\(486\) −27.1733 14.3410i −1.23260 0.650521i
\(487\) −10.5811 + 18.3270i −0.479476 + 0.830477i −0.999723 0.0235391i \(-0.992507\pi\)
0.520247 + 0.854016i \(0.325840\pi\)
\(488\) −1.24851 −0.0565173
\(489\) −23.0198 25.1787i −1.04099 1.13862i
\(490\) −6.86719 3.07039i −0.310228 0.138706i
\(491\) 8.34337 + 4.81705i 0.376531 + 0.217390i 0.676308 0.736619i \(-0.263579\pi\)
−0.299777 + 0.954009i \(0.596912\pi\)
\(492\) 5.85800 18.5063i 0.264099 0.834330i
\(493\) 14.0689 8.12269i 0.633632 0.365828i
\(494\) −0.562840 0.173328i −0.0253234 0.00779838i
\(495\) −0.417003 + 0.592690i −0.0187429 + 0.0266394i
\(496\) 22.4592 + 12.9668i 1.00845 + 0.582227i
\(497\) 10.5039 20.5751i 0.471164 0.922922i
\(498\) −6.11330 1.93510i −0.273944 0.0867141i
\(499\) −14.6610 + 25.3936i −0.656316 + 1.13677i 0.325246 + 0.945629i \(0.394553\pi\)
−0.981562 + 0.191143i \(0.938780\pi\)
\(500\) −4.98578 + 8.63562i −0.222971 + 0.386197i
\(501\) −18.2829 + 4.03157i −0.816818 + 0.180117i
\(502\) −43.0883 24.8771i −1.92313 1.11032i
\(503\) −1.57235 2.72340i −0.0701078 0.121430i 0.828841 0.559485i \(-0.189001\pi\)
−0.898948 + 0.438055i \(0.855668\pi\)
\(504\) −1.59131 + 0.839914i −0.0708825 + 0.0374128i
\(505\) −3.66441 + 6.34694i −0.163064 + 0.282435i
\(506\) 5.41577 + 3.12679i 0.240760 + 0.139003i
\(507\) −17.6942 + 13.9253i −0.785827 + 0.618446i
\(508\) 4.76183 + 8.24772i 0.211272 + 0.365934i
\(509\) 14.5165 + 25.1433i 0.643432 + 1.11446i 0.984661 + 0.174476i \(0.0558233\pi\)
−0.341230 + 0.939980i \(0.610843\pi\)
\(510\) 1.53861 + 6.97750i 0.0681310 + 0.308969i
\(511\) −17.7539 + 34.7765i −0.785386 + 1.53842i
\(512\) 31.2240i 1.37992i
\(513\) 0.260975 + 0.342504i 0.0115223 + 0.0151219i
\(514\) 26.1767 + 15.1131i 1.15460 + 0.666610i
\(515\) 1.81829 1.04979i 0.0801236 0.0462594i
\(516\) 14.0586 + 15.3771i 0.618895 + 0.676938i
\(517\) 0.247836 + 0.143088i 0.0108998 + 0.00629302i
\(518\) 20.5306 1.05981i 0.902061 0.0465654i
\(519\) 3.14090 + 3.43546i 0.137870 + 0.150800i
\(520\) 0.434418 0.0993649i 0.0190505 0.00435744i
\(521\) 0.304773 + 0.527883i 0.0133524 + 0.0231270i 0.872624 0.488392i \(-0.162416\pi\)
−0.859272 + 0.511519i \(0.829083\pi\)
\(522\) 2.23722 24.9235i 0.0979207 1.09087i
\(523\) −23.0964 + 13.3347i −1.00993 + 0.583086i −0.911172 0.412025i \(-0.864821\pi\)
−0.0987617 + 0.995111i \(0.531488\pi\)
\(524\) −17.3850 30.1117i −0.759468 1.31544i
\(525\) 5.71944 + 20.7779i 0.249617 + 0.906822i
\(526\) 6.57383 + 11.3862i 0.286633 + 0.496463i
\(527\) 23.6088i 1.02842i
\(528\) −3.08516 0.976578i −0.134264 0.0425001i
\(529\) 14.1389 24.4893i 0.614736 1.06475i
\(530\) −4.58797 7.94659i −0.199289 0.345178i
\(531\) 14.3494 + 10.0959i 0.622713 + 0.438127i
\(532\) −0.412736 + 0.0213059i −0.0178944 + 0.000923727i
\(533\) 4.77981 + 20.8971i 0.207037 + 0.905153i
\(534\) 9.72890 + 44.1199i 0.421011 + 1.90925i
\(535\) 0.418032i 0.0180731i
\(536\) 2.28204i 0.0985693i
\(537\) 3.92537 3.58880i 0.169392 0.154868i
\(538\) 1.03387i 0.0445733i
\(539\) −2.83135 1.26593i −0.121955 0.0545273i
\(540\) 4.92667 + 2.06026i 0.212010 + 0.0886596i
\(541\) −10.7583 + 18.6339i −0.462534 + 0.801133i −0.999086 0.0427343i \(-0.986393\pi\)
0.536552 + 0.843867i \(0.319726\pi\)
\(542\) 28.3704 49.1391i 1.21862 2.11070i
\(543\) −19.0232 + 17.3921i −0.816365 + 0.746367i
\(544\) −26.1241 + 15.0828i −1.12006 + 0.646668i
\(545\) −1.78614 −0.0765097
\(546\) −17.1255 + 27.7005i −0.732904 + 1.18547i
\(547\) −18.1656 −0.776705 −0.388353 0.921511i \(-0.626956\pi\)
−0.388353 + 0.921511i \(0.626956\pi\)
\(548\) 19.3519 11.1728i 0.826673 0.477280i
\(549\) 16.4559 + 1.47714i 0.702320 + 0.0630429i
\(550\) −2.05346 + 3.55670i −0.0875598 + 0.151658i
\(551\) −0.175347 + 0.303710i −0.00747003 + 0.0129385i
\(552\) −0.848532 + 2.68065i −0.0361159 + 0.114096i
\(553\) −1.57819 30.5726i −0.0671115 1.30008i
\(554\) 34.3257i 1.45836i
\(555\) 2.51191 + 2.74748i 0.106624 + 0.116624i
\(556\) 28.6811i 1.21635i
\(557\) 33.2052i 1.40695i −0.710720 0.703475i \(-0.751631\pi\)
0.710720 0.703475i \(-0.248369\pi\)
\(558\) −29.7421 20.9259i −1.25909 0.885864i
\(559\) −21.9899 6.77182i −0.930073 0.286417i
\(560\) 5.10393 3.30884i 0.215680 0.139824i
\(561\) 0.634373 + 2.87683i 0.0267833 + 0.121460i
\(562\) −20.5232 35.5473i −0.865721 1.49947i
\(563\) −11.2676 + 19.5160i −0.474872 + 0.822502i −0.999586 0.0287763i \(-0.990839\pi\)
0.524714 + 0.851279i \(0.324172\pi\)
\(564\) 0.636395 2.01047i 0.0267971 0.0846561i
\(565\) 10.8094i 0.454754i
\(566\) −27.0543 46.8594i −1.13718 1.96965i
\(567\) 21.9678 9.18771i 0.922563 0.385848i
\(568\) 0.989706 + 1.71422i 0.0415271 + 0.0719271i
\(569\) 22.4290 12.9494i 0.940273 0.542867i 0.0502271 0.998738i \(-0.484005\pi\)
0.890046 + 0.455871i \(0.150672\pi\)
\(570\) −0.104077 0.113838i −0.00435932 0.00476816i
\(571\) 5.54250 + 9.59990i 0.231947 + 0.401743i 0.958381 0.285493i \(-0.0921572\pi\)
−0.726434 + 0.687236i \(0.758824\pi\)
\(572\) −2.93546 + 0.671431i −0.122738 + 0.0280739i
\(573\) 2.74560 2.51019i 0.114699 0.104865i
\(574\) 16.8661 + 26.0162i 0.703978 + 1.08589i
\(575\) 29.1640 + 16.8379i 1.21622 + 0.702187i
\(576\) −1.89223 + 21.0801i −0.0788428 + 0.878337i
\(577\) −15.6001 + 9.00673i −0.649441 + 0.374955i −0.788242 0.615365i \(-0.789009\pi\)
0.138801 + 0.990320i \(0.455675\pi\)
\(578\) −3.86400 2.23088i −0.160721 0.0927925i
\(579\) −16.7477 18.3184i −0.696012 0.761287i
\(580\) 4.34914i 0.180588i
\(581\) 4.16982 2.70326i 0.172993 0.112150i
\(582\) −7.67758 + 1.69299i −0.318246 + 0.0701766i
\(583\) −1.89163 3.27639i −0.0783431 0.135694i
\(584\) −1.67282 2.89741i −0.0692217 0.119896i
\(585\) −5.84337 + 0.795701i −0.241594 + 0.0328982i
\(586\) 39.3840 + 22.7384i 1.62694 + 0.939313i
\(587\) 5.52925 9.57695i 0.228217 0.395283i −0.729063 0.684447i \(-0.760044\pi\)
0.957280 + 0.289164i \(0.0933772\pi\)
\(588\) −4.61680 + 22.3830i −0.190394 + 0.923061i
\(589\) 0.254826 + 0.441371i 0.0104999 + 0.0181864i
\(590\) −5.44281 3.14241i −0.224077 0.129371i
\(591\) 4.80528 + 21.7916i 0.197663 + 0.896386i
\(592\) −8.31167 + 14.3962i −0.341607 + 0.591681i
\(593\) −6.34378 + 10.9878i −0.260508 + 0.451213i −0.966377 0.257129i \(-0.917223\pi\)
0.705869 + 0.708342i \(0.250557\pi\)
\(594\) 4.18648 + 1.75073i 0.171774 + 0.0718333i
\(595\) −4.93186 2.51778i −0.202187 0.103219i
\(596\) −7.55784 4.36352i −0.309581 0.178737i
\(597\) 0.221660 + 1.00521i 0.00907193 + 0.0411405i
\(598\) 11.3471 + 49.6087i 0.464016 + 2.02865i
\(599\) −31.3527 + 18.1015i −1.28104 + 0.739607i −0.977038 0.213066i \(-0.931655\pi\)
−0.303999 + 0.952672i \(0.598322\pi\)
\(600\) −1.76046 0.557257i −0.0718705 0.0227499i
\(601\) −40.7500 23.5270i −1.66223 0.959687i −0.971649 0.236428i \(-0.924023\pi\)
−0.690577 0.723258i \(-0.742644\pi\)
\(602\) −33.2347 + 1.71561i −1.35454 + 0.0699231i
\(603\) 2.69994 30.0783i 0.109950 1.22488i
\(604\) −23.4323 −0.953447
\(605\) −2.94511 + 5.10109i −0.119736 + 0.207389i
\(606\) 43.7516 + 13.8491i 1.77729 + 0.562582i
\(607\) 19.2400i 0.780926i −0.920619 0.390463i \(-0.872315\pi\)
0.920619 0.390463i \(-0.127685\pi\)
\(608\) 0.325596 0.563949i 0.0132047 0.0228711i
\(609\) 13.8060 + 13.6192i 0.559448 + 0.551876i
\(610\) −5.91830 −0.239625
\(611\) 0.519264 + 2.27019i 0.0210072 + 0.0918422i
\(612\) 19.6950 9.12985i 0.796122 0.369052i
\(613\) −14.0671 −0.568165 −0.284082 0.958800i \(-0.591689\pi\)
−0.284082 + 0.958800i \(0.591689\pi\)
\(614\) −7.44253 12.8908i −0.300356 0.520232i
\(615\) −1.69434 + 5.35270i −0.0683225 + 0.215842i
\(616\) 0.222987 0.144561i 0.00898442 0.00582453i
\(617\) 9.60577 5.54589i 0.386714 0.223269i −0.294022 0.955799i \(-0.594994\pi\)
0.680735 + 0.732530i \(0.261660\pi\)
\(618\) −8.87107 9.70304i −0.356847 0.390314i
\(619\) 11.7915 6.80781i 0.473939 0.273629i −0.243948 0.969788i \(-0.578443\pi\)
0.717887 + 0.696159i \(0.245109\pi\)
\(620\) 5.47367 + 3.16022i 0.219828 + 0.126918i
\(621\) 14.3555 34.3281i 0.576068 1.37754i
\(622\) 16.2012 + 9.35378i 0.649610 + 0.375053i
\(623\) −31.1850 15.9204i −1.24940 0.637836i
\(624\) −11.2619 23.8043i −0.450837 0.952934i
\(625\) −10.3148 + 17.8658i −0.412593 + 0.714631i
\(626\) 12.5965 0.503457
\(627\) −0.0429112 0.0469356i −0.00171371 0.00187443i
\(628\) 16.8947i 0.674171i
\(629\) 15.1332 0.603399
\(630\) −7.54327 + 3.98144i −0.300531 + 0.158624i
\(631\) −12.1974 21.1265i −0.485571 0.841034i 0.514291 0.857616i \(-0.328055\pi\)
−0.999863 + 0.0165816i \(0.994722\pi\)
\(632\) 2.27165 + 1.31154i 0.0903613 + 0.0521701i
\(633\) 1.29212 0.284926i 0.0513570 0.0113248i
\(634\) −37.9425 −1.50689
\(635\) −1.37729 2.38554i −0.0546561 0.0946672i
\(636\) −20.5752 + 18.8110i −0.815859 + 0.745905i
\(637\) −8.13103 23.8932i −0.322163 0.946684i
\(638\) 3.69572i 0.146315i
\(639\) −11.0166 23.7651i −0.435810 0.940133i
\(640\) 0.987144i 0.0390203i
\(641\) 3.59549 + 2.07586i 0.142013 + 0.0819914i 0.569323 0.822114i \(-0.307205\pi\)
−0.427310 + 0.904105i \(0.640539\pi\)
\(642\) 2.55620 0.563670i 0.100885 0.0222463i
\(643\) 6.06294 3.50044i 0.239099 0.138044i −0.375664 0.926756i \(-0.622585\pi\)
0.614762 + 0.788712i \(0.289252\pi\)
\(644\) 19.4270 + 29.9664i 0.765531 + 1.18084i
\(645\) −4.06625 4.44760i −0.160108 0.175124i
\(646\) −0.627021 −0.0246698
\(647\) −7.24793 −0.284945 −0.142473 0.989799i \(-0.545505\pi\)
−0.142473 + 0.989799i \(0.545505\pi\)
\(648\) −0.363360 + 2.00767i −0.0142741 + 0.0788688i
\(649\) −2.24408 1.29562i −0.0880877 0.0508575i
\(650\) −32.5795 + 7.45196i −1.27787 + 0.292290i
\(651\) 27.1725 7.47965i 1.06497 0.293151i
\(652\) 18.5640 32.1538i 0.727023 1.25924i
\(653\) −9.73236 + 5.61898i −0.380857 + 0.219888i −0.678191 0.734886i \(-0.737236\pi\)
0.297334 + 0.954773i \(0.403902\pi\)
\(654\) 2.40841 + 10.9219i 0.0941761 + 0.427082i
\(655\) 5.02837 + 8.70940i 0.196475 + 0.340304i
\(656\) −25.0709 −0.978856
\(657\) 18.6205 + 40.1682i 0.726454 + 1.56711i
\(658\) 1.83228 + 2.82632i 0.0714298 + 0.110181i
\(659\) 13.9778 8.07010i 0.544499 0.314366i −0.202402 0.979303i \(-0.564875\pi\)
0.746900 + 0.664936i \(0.231541\pi\)
\(660\) −0.751905 0.238008i −0.0292679 0.00926445i
\(661\) 40.9799i 1.59393i −0.604023 0.796967i \(-0.706436\pi\)
0.604023 0.796967i \(-0.293564\pi\)
\(662\) −15.6411 + 9.03039i −0.607908 + 0.350976i
\(663\) −13.6409 + 19.7140i −0.529770 + 0.765628i
\(664\) 0.425799i 0.0165242i
\(665\) 0.119378 0.00616243i 0.00462928 0.000238969i
\(666\) 13.4134 19.0646i 0.519759 0.738737i
\(667\) 30.3040 1.17338
\(668\) −10.1876 17.6454i −0.394170 0.682722i
\(669\) −1.15401 5.23336i −0.0446167 0.202333i
\(670\) 10.8176i 0.417919i
\(671\) −2.44012 −0.0942000
\(672\) −25.6360 25.2890i −0.988929 0.975544i
\(673\) −12.9872 + 22.4945i −0.500621 + 0.867100i 0.499379 + 0.866384i \(0.333562\pi\)
−1.00000 0.000716818i \(0.999772\pi\)
\(674\) −50.6544 + 29.2453i −1.95114 + 1.12649i
\(675\) 22.5443 + 9.42773i 0.867731 + 0.362873i
\(676\) −20.2596 13.7853i −0.779216 0.530203i
\(677\) 14.1017 24.4249i 0.541974 0.938727i −0.456816 0.889561i \(-0.651010\pi\)
0.998791 0.0491659i \(-0.0156563\pi\)
\(678\) −66.0976 + 14.5752i −2.53846 + 0.559759i
\(679\) 2.77040 5.42669i 0.106318 0.208257i
\(680\) 0.410899 0.237232i 0.0157572 0.00909745i
\(681\) 7.84941 1.73088i 0.300790 0.0663275i
\(682\) 4.65131 + 2.68543i 0.178108 + 0.102831i
\(683\) 15.7333 + 9.08365i 0.602019 + 0.347576i 0.769836 0.638242i \(-0.220338\pi\)
−0.167816 + 0.985818i \(0.553671\pi\)
\(684\) −0.269656 + 0.383264i −0.0103106 + 0.0146545i
\(685\) −5.59727 + 3.23158i −0.213861 + 0.123472i
\(686\) −22.9059 28.4230i −0.874553 1.08520i
\(687\) −5.19213 23.5459i −0.198092 0.898332i
\(688\) 13.4548 23.3045i 0.512961 0.888475i
\(689\) 9.06099 29.4234i 0.345196 1.12094i
\(690\) −4.02229 + 12.7071i −0.153126 + 0.483749i
\(691\) 14.7044 8.48956i 0.559380 0.322958i −0.193517 0.981097i \(-0.561989\pi\)
0.752897 + 0.658139i \(0.228656\pi\)
\(692\) −2.53293 + 4.38716i −0.0962875 + 0.166775i
\(693\) −3.11010 + 1.64155i −0.118143 + 0.0623575i
\(694\) −47.5060 −1.80330
\(695\) 8.29559i 0.314670i
\(696\) −1.62269 + 0.357820i −0.0615078 + 0.0135631i
\(697\) 11.4117 + 19.7657i 0.432251 + 0.748680i
\(698\) 18.5507 0.702154
\(699\) 9.53279 + 43.2305i 0.360563 + 1.63513i
\(700\) −19.6798 + 12.7583i −0.743828 + 0.482218i
\(701\) 15.1990i 0.574057i −0.957922 0.287029i \(-0.907333\pi\)
0.957922 0.287029i \(-0.0926675\pi\)
\(702\) 12.7447 + 34.6584i 0.481018 + 1.30810i
\(703\) −0.282917 + 0.163342i −0.0106704 + 0.00616056i
\(704\) 3.12581i 0.117809i
\(705\) −0.184068 + 0.581501i −0.00693241 + 0.0219006i
\(706\) 60.1413 34.7226i 2.26345 1.30680i
\(707\) −29.8425 + 19.3467i −1.12234 + 0.727607i
\(708\) −5.76235 + 18.2042i −0.216562 + 0.684154i
\(709\) 3.98287 0.149580 0.0747899 0.997199i \(-0.476171\pi\)
0.0747899 + 0.997199i \(0.476171\pi\)
\(710\) 4.69150 + 8.12591i 0.176069 + 0.304960i
\(711\) −28.3896 19.9742i −1.06469 0.749093i
\(712\) 2.59818 1.50006i 0.0973708 0.0562171i
\(713\) 22.0199 38.1395i 0.824651 1.42834i
\(714\) −8.74579 + 33.5525i −0.327303 + 1.25567i
\(715\) 0.849039 0.194202i 0.0317523 0.00726274i
\(716\) 5.01279 + 2.89414i 0.187337 + 0.108159i
\(717\) −19.8932 + 18.1875i −0.742924 + 0.679223i
\(718\) 36.3436 1.35633
\(719\) −38.4800 −1.43506 −0.717530 0.696527i \(-0.754727\pi\)
−0.717530 + 0.696527i \(0.754727\pi\)
\(720\) 0.616628 6.86945i 0.0229804 0.256009i
\(721\) 10.1752 0.525257i 0.378945 0.0195616i
\(722\) −32.4207 + 18.7181i −1.20657 + 0.696615i
\(723\) −1.81051 8.21055i −0.0673338 0.305354i
\(724\) −24.2931 14.0256i −0.902845 0.521258i
\(725\) 19.9016i 0.739125i
\(726\) 35.1635 + 11.1307i 1.30504 + 0.413098i
\(727\) 46.7806i 1.73500i 0.497439 + 0.867499i \(0.334274\pi\)
−0.497439 + 0.867499i \(0.665726\pi\)
\(728\) 2.09685 + 0.529076i 0.0777145 + 0.0196089i
\(729\) 7.16457 26.0321i 0.265355 0.964151i
\(730\) −7.92966 13.7346i −0.293490 0.508339i
\(731\) −24.4974 −0.906069
\(732\) 3.87196 + 17.5590i 0.143112 + 0.649001i
\(733\) −24.6315 14.2210i −0.909784 0.525264i −0.0294225 0.999567i \(-0.509367\pi\)
−0.880362 + 0.474303i \(0.842700\pi\)
\(734\) 11.5896 + 20.0738i 0.427780 + 0.740936i
\(735\) 1.33534 6.47398i 0.0492549 0.238796i
\(736\) −56.2705 −2.07416
\(737\) 4.46010i 0.164290i
\(738\) 35.0155 + 3.14313i 1.28894 + 0.115700i
\(739\) −27.3454 −1.00592 −0.502959 0.864310i \(-0.667755\pi\)
−0.502959 + 0.864310i \(0.667755\pi\)
\(740\) −2.02569 + 3.50860i −0.0744658 + 0.128979i
\(741\) 0.0422333 0.515792i 0.00155148 0.0189481i
\(742\) −2.29556 44.4694i −0.0842727 1.63252i
\(743\) 46.2640 + 26.7105i 1.69726 + 0.979914i 0.948340 + 0.317256i \(0.102761\pi\)
0.748921 + 0.662659i \(0.230572\pi\)
\(744\) −0.728758 + 2.30226i −0.0267176 + 0.0844050i
\(745\) 2.18600 + 1.26209i 0.0800888 + 0.0462393i
\(746\) 43.4129 25.0644i 1.58946 0.917675i
\(747\) 0.503774 5.61222i 0.0184321 0.205340i
\(748\) −2.77653 + 1.60303i −0.101520 + 0.0586127i
\(749\) −0.922388 + 1.80678i −0.0337033 + 0.0660184i
\(750\) −17.2177 5.45009i −0.628701 0.199009i
\(751\) 4.96470 + 8.59911i 0.181164 + 0.313786i 0.942277 0.334833i \(-0.108680\pi\)
−0.761113 + 0.648619i \(0.775347\pi\)
\(752\) −2.72363 −0.0993206
\(753\) 13.1944 41.6831i 0.480829 1.51902i
\(754\) −22.0368 + 20.4662i −0.802534 + 0.745336i
\(755\) 6.77747 0.246657
\(756\) 16.7476 + 19.7754i 0.609106 + 0.719224i
\(757\) 19.0677 33.0262i 0.693028 1.20036i −0.277814 0.960635i \(-0.589610\pi\)
0.970841 0.239724i \(-0.0770569\pi\)
\(758\) 19.7537i 0.717488i
\(759\) −1.65840 + 5.23914i −0.0601960 + 0.190169i
\(760\) −0.00512121 + 0.00887019i −0.000185766 + 0.000321756i
\(761\) 40.2324 1.45842 0.729211 0.684289i \(-0.239887\pi\)
0.729211 + 0.684289i \(0.239887\pi\)
\(762\) −12.7301 + 11.6385i −0.461161 + 0.421620i
\(763\) −7.71989 3.94111i −0.279479 0.142678i
\(764\) 3.50620 + 2.02430i 0.126850 + 0.0732367i
\(765\) −5.69649 + 2.64068i −0.205957 + 0.0954740i
\(766\) 34.6291 19.9931i 1.25120 0.722380i
\(767\) −4.70177 20.5559i −0.169771 0.742229i
\(768\) 29.9019 6.59370i 1.07899 0.237930i
\(769\) 16.6964 + 9.63964i 0.602086 + 0.347614i 0.769862 0.638211i \(-0.220325\pi\)
−0.167776 + 0.985825i \(0.553658\pi\)
\(770\)