Properties

Label 722.2.i.a.505.6
Level $722$
Weight $2$
Character 722.505
Analytic conductor $5.765$
Analytic rank $0$
Dimension $576$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [722,2,Mod(7,722)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(722, base_ring=CyclotomicField(114))
 
chi = DirichletCharacter(H, H._module([50]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("722.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 722 = 2 \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 722.i (of order \(57\), degree \(36\), 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: \(5.76519902594\)
Analytic rank: \(0\)
Dimension: \(576\)
Relative dimension: \(16\) over \(\Q(\zeta_{57})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{57}]$

Embedding invariants

Embedding label 505.6
Character \(\chi\) \(=\) 722.505
Dual form 722.2.i.a.539.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.851919 + 0.523673i) q^{2} +(-0.226121 + 0.603942i) q^{3} +(0.451533 - 0.892254i) q^{4} +(-0.455160 - 0.619267i) q^{5} +(-0.123631 - 0.632923i) q^{6} +(-2.30283 + 3.52474i) q^{7} +(0.0825793 + 0.996584i) q^{8} +(1.94870 + 1.69713i) q^{9} +O(q^{10})\) \(q+(-0.851919 + 0.523673i) q^{2} +(-0.226121 + 0.603942i) q^{3} +(0.451533 - 0.892254i) q^{4} +(-0.455160 - 0.619267i) q^{5} +(-0.123631 - 0.632923i) q^{6} +(-2.30283 + 3.52474i) q^{7} +(0.0825793 + 0.996584i) q^{8} +(1.94870 + 1.69713i) q^{9} +(0.712053 + 0.289211i) q^{10} +(-4.47641 - 1.53675i) q^{11} +(0.436769 + 0.474457i) q^{12} +(3.26603 + 3.96572i) q^{13} +(0.116013 - 4.20872i) q^{14} +(0.476923 - 0.134861i) q^{15} +(-0.592235 - 0.805765i) q^{16} +(-2.80638 - 5.54555i) q^{17} +(-2.54888 - 0.425333i) q^{18} +(3.79858 - 2.13794i) q^{19} +(-0.758064 + 0.126498i) q^{20} +(-1.60802 - 2.18779i) q^{21} +(4.61829 - 1.03498i) q^{22} +(0.438968 + 1.17243i) q^{23} +(-0.620552 - 0.175475i) q^{24} +(1.31625 - 4.20829i) q^{25} +(-4.85913 - 1.66814i) q^{26} +(-3.16709 + 1.71394i) q^{27} +(2.10516 + 3.64625i) q^{28} +(-7.09196 - 0.391274i) q^{29} +(-0.335677 + 0.364642i) q^{30} +(-8.88385 + 4.80770i) q^{31} +(0.926494 + 0.376309i) q^{32} +(1.94032 - 2.35600i) q^{33} +(5.29486 + 3.25474i) q^{34} +(3.23091 - 0.178254i) q^{35} +(2.39417 - 0.972430i) q^{36} +(-3.09978 - 1.06416i) q^{37} +(-2.11650 + 3.81057i) q^{38} +(-3.13358 + 1.07576i) q^{39} +(0.579565 - 0.504744i) q^{40} +(0.213113 + 0.207320i) q^{41} +(2.51559 + 1.02175i) q^{42} +(-11.3786 + 4.62159i) q^{43} +(-3.39242 + 3.30020i) q^{44} +(0.164004 - 1.97923i) q^{45} +(-0.987936 - 0.768941i) q^{46} +(-0.256574 - 1.31351i) q^{47} +(0.620552 - 0.175475i) q^{48} +(-4.30891 - 9.82334i) q^{49} +(1.08243 + 4.27441i) q^{50} +(3.98377 - 0.440924i) q^{51} +(5.01315 - 1.12347i) q^{52} +(0.880841 + 4.50942i) q^{53} +(1.80056 - 3.11866i) q^{54} +(1.08582 + 3.47156i) q^{55} +(-3.70287 - 2.00389i) q^{56} +(0.432254 + 2.77756i) q^{57} +(6.24668 - 3.38053i) q^{58} +(-8.16830 - 7.94624i) q^{59} +(0.0950163 - 0.486431i) q^{60} +(-4.84823 + 2.28794i) q^{61} +(5.05066 - 8.74800i) q^{62} +(-10.4695 + 2.96048i) q^{63} +(-0.986361 + 0.164595i) q^{64} +(0.969275 - 3.82758i) q^{65} +(-0.419222 + 3.02321i) q^{66} +(12.4910 - 8.66108i) q^{67} -6.21521 q^{68} -0.807340 q^{69} +(-2.65913 + 1.84380i) q^{70} +(5.49480 + 2.59306i) q^{71} +(-1.53041 + 2.08220i) q^{72} +(-0.384247 - 0.759292i) q^{73} +(3.19803 - 0.716696i) q^{74} +(2.24393 + 1.74652i) q^{75} +(-0.192401 - 4.35465i) q^{76} +(15.7250 - 12.2393i) q^{77} +(2.10621 - 2.55743i) q^{78} +(-8.77164 + 3.56273i) q^{79} +(-0.229422 + 0.733504i) q^{80} +(0.745838 + 5.37860i) q^{81} +(-0.290123 - 0.0650182i) q^{82} +(4.15725 + 9.47758i) q^{83} +(-2.67814 + 0.446903i) q^{84} +(-2.15683 + 4.26201i) q^{85} +(7.27346 - 9.89589i) q^{86} +(1.83995 - 4.19466i) q^{87} +(1.16184 - 4.58802i) q^{88} +(3.68568 - 7.28311i) q^{89} +(0.896753 + 1.77203i) q^{90} +(-21.4992 + 2.37954i) q^{91} +(1.24432 + 0.137721i) q^{92} +(-0.894747 - 6.45245i) q^{93} +(0.906432 + 0.984647i) q^{94} +(-3.05292 - 1.37923i) q^{95} +(-0.436769 + 0.474457i) q^{96} +(8.27192 + 5.73562i) q^{97} +(8.81506 + 6.11223i) q^{98} +(-6.11513 - 10.5917i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 576 q - 16 q^{2} + q^{3} + 16 q^{4} - q^{5} - q^{6} + 10 q^{7} + 32 q^{8} + 13 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 576 q - 16 q^{2} + q^{3} + 16 q^{4} - q^{5} - q^{6} + 10 q^{7} + 32 q^{8} + 13 q^{9} + q^{10} + 34 q^{11} - 2 q^{12} + 2 q^{13} - 14 q^{14} + 38 q^{15} + 16 q^{16} + 12 q^{17} + 26 q^{18} + 7 q^{19} + 2 q^{20} + 75 q^{21} + 36 q^{22} - 45 q^{23} - q^{24} + 9 q^{25} + 4 q^{26} - 110 q^{27} + 33 q^{28} - 36 q^{29} - 57 q^{30} - 4 q^{31} - 16 q^{32} + 81 q^{33} + 7 q^{34} - 2 q^{35} + 13 q^{36} + 14 q^{37} - 30 q^{38} + 40 q^{39} + q^{40} + 11 q^{41} + q^{42} - 9 q^{43} + 2 q^{44} - 85 q^{45} - 33 q^{46} - 213 q^{47} + q^{48} - 76 q^{49} - 20 q^{50} - 3 q^{51} + 2 q^{52} - 144 q^{53} + 78 q^{54} - 6 q^{55} - 29 q^{56} - 8 q^{57} + 4 q^{58} - 5 q^{59} + 69 q^{61} - 2 q^{62} - 95 q^{63} - 32 q^{64} - 84 q^{65} - 5 q^{66} - 5 q^{67} - 62 q^{68} + 2 q^{69} + 211 q^{70} + 129 q^{71} - 13 q^{72} - 8 q^{73} - 31 q^{74} - 36 q^{75} - 18 q^{76} - 10 q^{77} + q^{78} - 2 q^{79} - q^{80} - 64 q^{81} - 49 q^{82} - 72 q^{83} + 2 q^{84} - 6 q^{85} - 10 q^{86} - 81 q^{87} + 4 q^{88} - 7 q^{89} + 81 q^{90} + 35 q^{91} - 7 q^{92} - 80 q^{93} - 27 q^{94} + 285 q^{95} + 2 q^{96} + 38 q^{97} - 171 q^{98} + 84 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).

\(n\) \(363\)
\(\chi(n)\) \(e\left(\frac{47}{57}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.851919 + 0.523673i −0.602398 + 0.370293i
\(3\) −0.226121 + 0.603942i −0.130551 + 0.348686i −0.985416 0.170165i \(-0.945570\pi\)
0.854865 + 0.518851i \(0.173640\pi\)
\(4\) 0.451533 0.892254i 0.225767 0.446127i
\(5\) −0.455160 0.619267i −0.203554 0.276945i 0.692001 0.721897i \(-0.256729\pi\)
−0.895554 + 0.444952i \(0.853221\pi\)
\(6\) −0.123631 0.632923i −0.0504723 0.258390i
\(7\) −2.30283 + 3.52474i −0.870387 + 1.33223i 0.0718966 + 0.997412i \(0.477095\pi\)
−0.942284 + 0.334815i \(0.891326\pi\)
\(8\) 0.0825793 + 0.996584i 0.0291962 + 0.352346i
\(9\) 1.94870 + 1.69713i 0.649568 + 0.565709i
\(10\) 0.712053 + 0.289211i 0.225171 + 0.0914565i
\(11\) −4.47641 1.53675i −1.34969 0.463348i −0.447342 0.894363i \(-0.647629\pi\)
−0.902345 + 0.431015i \(0.858156\pi\)
\(12\) 0.436769 + 0.474457i 0.126084 + 0.136964i
\(13\) 3.26603 + 3.96572i 0.905833 + 1.09989i 0.994594 + 0.103840i \(0.0331129\pi\)
−0.0887607 + 0.996053i \(0.528291\pi\)
\(14\) 0.116013 4.20872i 0.0310057 1.12483i
\(15\) 0.476923 0.134861i 0.123141 0.0348209i
\(16\) −0.592235 0.805765i −0.148059 0.201441i
\(17\) −2.80638 5.54555i −0.680646 1.34499i −0.926724 0.375743i \(-0.877387\pi\)
0.246078 0.969250i \(-0.420858\pi\)
\(18\) −2.54888 0.425333i −0.600777 0.100252i
\(19\) 3.79858 2.13794i 0.871454 0.490477i
\(20\) −0.758064 + 0.126498i −0.169508 + 0.0282859i
\(21\) −1.60802 2.18779i −0.350899 0.477416i
\(22\) 4.61829 1.03498i 0.984623 0.220659i
\(23\) 0.438968 + 1.17243i 0.0915311 + 0.244469i 0.974265 0.225404i \(-0.0723701\pi\)
−0.882734 + 0.469872i \(0.844300\pi\)
\(24\) −0.620552 0.175475i −0.126670 0.0358188i
\(25\) 1.31625 4.20829i 0.263251 0.841659i
\(26\) −4.85913 1.66814i −0.952954 0.327150i
\(27\) −3.16709 + 1.71394i −0.609507 + 0.329848i
\(28\) 2.10516 + 3.64625i 0.397838 + 0.689076i
\(29\) −7.09196 0.391274i −1.31694 0.0726578i −0.617061 0.786915i \(-0.711677\pi\)
−0.699883 + 0.714258i \(0.746764\pi\)
\(30\) −0.335677 + 0.364642i −0.0612859 + 0.0665742i
\(31\) −8.88385 + 4.80770i −1.59559 + 0.863488i −0.597486 + 0.801880i \(0.703833\pi\)
−0.998100 + 0.0616082i \(0.980377\pi\)
\(32\) 0.926494 + 0.376309i 0.163783 + 0.0665227i
\(33\) 1.94032 2.35600i 0.337766 0.410127i
\(34\) 5.29486 + 3.25474i 0.908061 + 0.558183i
\(35\) 3.23091 0.178254i 0.546124 0.0301305i
\(36\) 2.39417 0.972430i 0.399029 0.162072i
\(37\) −3.09978 1.06416i −0.509601 0.174946i 0.0578946 0.998323i \(-0.481561\pi\)
−0.567496 + 0.823376i \(0.692088\pi\)
\(38\) −2.11650 + 3.81057i −0.343342 + 0.618156i
\(39\) −3.13358 + 1.07576i −0.501775 + 0.172260i
\(40\) 0.579565 0.504744i 0.0916373 0.0798070i
\(41\) 0.213113 + 0.207320i 0.0332827 + 0.0323779i 0.713750 0.700400i \(-0.246995\pi\)
−0.680467 + 0.732778i \(0.738223\pi\)
\(42\) 2.51559 + 1.02175i 0.388164 + 0.157659i
\(43\) −11.3786 + 4.62159i −1.73522 + 0.704786i −0.735596 + 0.677420i \(0.763098\pi\)
−0.999625 + 0.0273662i \(0.991288\pi\)
\(44\) −3.39242 + 3.30020i −0.511427 + 0.497523i
\(45\) 0.164004 1.97923i 0.0244483 0.295047i
\(46\) −0.987936 0.768941i −0.145663 0.113374i
\(47\) −0.256574 1.31351i −0.0374251 0.191596i 0.958052 0.286593i \(-0.0925227\pi\)
−0.995478 + 0.0949974i \(0.969716\pi\)
\(48\) 0.620552 0.175475i 0.0895690 0.0253277i
\(49\) −4.30891 9.82334i −0.615559 1.40333i
\(50\) 1.08243 + 4.27441i 0.153078 + 0.604493i
\(51\) 3.98377 0.440924i 0.557840 0.0617417i
\(52\) 5.01315 1.12347i 0.695199 0.155798i
\(53\) 0.880841 + 4.50942i 0.120993 + 0.619416i 0.991801 + 0.127793i \(0.0407892\pi\)
−0.870808 + 0.491623i \(0.836404\pi\)
\(54\) 1.80056 3.11866i 0.245025 0.424396i
\(55\) 1.08582 + 3.47156i 0.146412 + 0.468105i
\(56\) −3.70287 2.00389i −0.494817 0.267781i
\(57\) 0.432254 + 2.77756i 0.0572534 + 0.367896i
\(58\) 6.24668 3.38053i 0.820229 0.443886i
\(59\) −8.16830 7.94624i −1.06342 1.03451i −0.999331 0.0365687i \(-0.988357\pi\)
−0.0640907 0.997944i \(-0.520415\pi\)
\(60\) 0.0950163 0.486431i 0.0122666 0.0627979i
\(61\) −4.84823 + 2.28794i −0.620752 + 0.292940i −0.711231 0.702958i \(-0.751862\pi\)
0.0904788 + 0.995898i \(0.471160\pi\)
\(62\) 5.05066 8.74800i 0.641435 1.11100i
\(63\) −10.4695 + 2.96048i −1.31903 + 0.372986i
\(64\) −0.986361 + 0.164595i −0.123295 + 0.0205743i
\(65\) 0.969275 3.82758i 0.120224 0.474753i
\(66\) −0.419222 + 3.02321i −0.0516027 + 0.372132i
\(67\) 12.4910 8.66108i 1.52602 1.05812i 0.551405 0.834238i \(-0.314092\pi\)
0.974616 0.223882i \(-0.0718731\pi\)
\(68\) −6.21521 −0.753705
\(69\) −0.807340 −0.0971924
\(70\) −2.65913 + 1.84380i −0.317827 + 0.220376i
\(71\) 5.49480 + 2.59306i 0.652112 + 0.307739i 0.724129 0.689664i \(-0.242242\pi\)
−0.0720170 + 0.997403i \(0.522944\pi\)
\(72\) −1.53041 + 2.08220i −0.180360 + 0.245389i
\(73\) −0.384247 0.759292i −0.0449727 0.0888684i 0.868661 0.495407i \(-0.164981\pi\)
−0.913633 + 0.406539i \(0.866736\pi\)
\(74\) 3.19803 0.716696i 0.371764 0.0833142i
\(75\) 2.24393 + 1.74652i 0.259107 + 0.201671i
\(76\) −0.192401 4.35465i −0.0220699 0.499513i
\(77\) 15.7250 12.2393i 1.79204 1.39480i
\(78\) 2.10621 2.55743i 0.238482 0.289572i
\(79\) −8.77164 + 3.56273i −0.986887 + 0.400839i −0.811941 0.583739i \(-0.801589\pi\)
−0.174946 + 0.984578i \(0.555975\pi\)
\(80\) −0.229422 + 0.733504i −0.0256502 + 0.0820082i
\(81\) 0.745838 + 5.37860i 0.0828709 + 0.597622i
\(82\) −0.290123 0.0650182i −0.0320388 0.00718005i
\(83\) 4.15725 + 9.47758i 0.456318 + 1.04030i 0.981873 + 0.189540i \(0.0606997\pi\)
−0.525555 + 0.850759i \(0.676142\pi\)
\(84\) −2.67814 + 0.446903i −0.292209 + 0.0487611i
\(85\) −2.15683 + 4.26201i −0.233941 + 0.462280i
\(86\) 7.27346 9.89589i 0.784317 1.06710i
\(87\) 1.83995 4.19466i 0.197263 0.449715i
\(88\) 1.16184 4.58802i 0.123853 0.489085i
\(89\) 3.68568 7.28311i 0.390681 0.772008i −0.609096 0.793096i \(-0.708468\pi\)
0.999778 + 0.0210888i \(0.00671327\pi\)
\(90\) 0.896753 + 1.77203i 0.0945260 + 0.186789i
\(91\) −21.4992 + 2.37954i −2.25373 + 0.249443i
\(92\) 1.24432 + 0.137721i 0.129729 + 0.0143584i
\(93\) −0.894747 6.45245i −0.0927810 0.669088i
\(94\) 0.906432 + 0.984647i 0.0934913 + 0.101559i
\(95\) −3.05292 1.37923i −0.313223 0.141506i
\(96\) −0.436769 + 0.474457i −0.0445775 + 0.0484241i
\(97\) 8.27192 + 5.73562i 0.839887 + 0.582364i 0.909733 0.415193i \(-0.136286\pi\)
−0.0698465 + 0.997558i \(0.522251\pi\)
\(98\) 8.81506 + 6.11223i 0.890456 + 0.617428i
\(99\) −6.11513 10.5917i −0.614593 1.06451i
\(100\) −3.16054 3.07462i −0.316054 0.307462i
\(101\) −5.38548 4.69022i −0.535876 0.466695i 0.345961 0.938249i \(-0.387553\pi\)
−0.881837 + 0.471554i \(0.843693\pi\)
\(102\) −3.16295 + 2.46183i −0.313179 + 0.243757i
\(103\) −6.18063 9.46015i −0.608995 0.932137i −0.999931 0.0117189i \(-0.996270\pi\)
0.390936 0.920418i \(-0.372151\pi\)
\(104\) −3.68247 + 3.58236i −0.361096 + 0.351279i
\(105\) −0.622921 + 1.99159i −0.0607909 + 0.194359i
\(106\) −3.11186 3.38039i −0.302251 0.328332i
\(107\) −5.08943 2.75426i −0.492014 0.266264i 0.210942 0.977499i \(-0.432347\pi\)
−0.702955 + 0.711234i \(0.748137\pi\)
\(108\) 0.0992264 + 3.59975i 0.00954807 + 0.346386i
\(109\) 1.24895 6.39392i 0.119628 0.612426i −0.872646 0.488354i \(-0.837598\pi\)
0.992273 0.124072i \(-0.0395955\pi\)
\(110\) −2.74299 2.38887i −0.261534 0.227770i
\(111\) 1.34361 1.63146i 0.127530 0.154851i
\(112\) 4.20393 0.231937i 0.397234 0.0219160i
\(113\) 8.74490 + 13.3851i 0.822651 + 1.25916i 0.963119 + 0.269076i \(0.0867183\pi\)
−0.140468 + 0.990085i \(0.544861\pi\)
\(114\) −1.82278 2.13989i −0.170719 0.200419i
\(115\) 0.526248 0.805482i 0.0490728 0.0751116i
\(116\) −3.55137 + 6.15116i −0.329737 + 0.571121i
\(117\) −0.365809 + 13.2709i −0.0338191 + 1.22689i
\(118\) 11.1200 + 2.49204i 1.02368 + 0.229411i
\(119\) 26.0092 + 2.87870i 2.38426 + 0.263890i
\(120\) 0.173784 + 0.464157i 0.0158643 + 0.0423716i
\(121\) 8.99606 + 7.00191i 0.817823 + 0.636537i
\(122\) 2.93217 4.48802i 0.265466 0.406327i
\(123\) −0.173399 + 0.0818288i −0.0156348 + 0.00737826i
\(124\) 0.278335 + 10.0975i 0.0249952 + 0.906781i
\(125\) −6.83968 + 2.34807i −0.611760 + 0.210017i
\(126\) 7.36882 8.00467i 0.656467 0.713113i
\(127\) 4.99408 + 8.64999i 0.443153 + 0.767563i 0.997921 0.0644417i \(-0.0205266\pi\)
−0.554769 + 0.832005i \(0.687193\pi\)
\(128\) 0.754107 0.656752i 0.0666542 0.0580492i
\(129\) −0.218232 7.91706i −0.0192143 0.697058i
\(130\) 1.17866 + 3.76837i 0.103375 + 0.330508i
\(131\) 0.0884174 3.20762i 0.00772506 0.280251i −0.985888 0.167408i \(-0.946460\pi\)
0.993613 0.112843i \(-0.0359958\pi\)
\(132\) −1.22603 2.79507i −0.106712 0.243280i
\(133\) −1.21179 + 18.3123i −0.105076 + 1.58788i
\(134\) −6.10577 + 13.9198i −0.527458 + 1.20248i
\(135\) 2.50292 + 1.18116i 0.215417 + 0.101658i
\(136\) 5.29486 3.25474i 0.454031 0.279092i
\(137\) −7.44324 + 5.16103i −0.635919 + 0.440936i −0.843388 0.537305i \(-0.819442\pi\)
0.207469 + 0.978242i \(0.433477\pi\)
\(138\) 0.687789 0.422782i 0.0585485 0.0359896i
\(139\) −1.87565 + 13.5262i −0.159091 + 1.14728i 0.727964 + 0.685615i \(0.240467\pi\)
−0.887055 + 0.461664i \(0.847252\pi\)
\(140\) 1.29982 2.96328i 0.109855 0.250443i
\(141\) 0.851303 + 0.142057i 0.0716926 + 0.0119634i
\(142\) −6.03904 + 0.668401i −0.506785 + 0.0560909i
\(143\) −8.52574 22.7712i −0.712958 1.90423i
\(144\) 0.213395 2.57530i 0.0177829 0.214608i
\(145\) 2.98567 + 4.56991i 0.247946 + 0.379510i
\(146\) 0.724968 + 0.445636i 0.0599988 + 0.0368811i
\(147\) 6.90706 0.381073i 0.569685 0.0314304i
\(148\) −2.34915 + 2.28529i −0.193099 + 0.187850i
\(149\) −4.59344 1.29890i −0.376309 0.106410i 0.0786966 0.996899i \(-0.474924\pi\)
−0.455006 + 0.890489i \(0.650363\pi\)
\(150\) −2.82626 0.312810i −0.230763 0.0255408i
\(151\) 2.02389 + 7.99216i 0.164702 + 0.650393i 0.995578 + 0.0939359i \(0.0299449\pi\)
−0.830876 + 0.556457i \(0.812160\pi\)
\(152\) 2.44432 + 3.60906i 0.198261 + 0.292733i
\(153\) 3.94271 15.5694i 0.318749 1.25871i
\(154\) −6.98709 + 18.6617i −0.563035 + 1.50380i
\(155\) 7.02082 + 3.31320i 0.563926 + 0.266123i
\(156\) −0.455065 + 3.28169i −0.0364344 + 0.262746i
\(157\) −5.09961 + 13.6205i −0.406993 + 1.08703i 0.559160 + 0.829060i \(0.311124\pi\)
−0.966153 + 0.257970i \(0.916946\pi\)
\(158\) 5.60703 7.62863i 0.446071 0.606902i
\(159\) −2.92260 0.487696i −0.231777 0.0386768i
\(160\) −0.188667 0.745028i −0.0149154 0.0588997i
\(161\) −5.14338 1.15266i −0.405355 0.0908423i
\(162\) −3.45202 4.19156i −0.271216 0.329320i
\(163\) 6.18210 + 3.34559i 0.484219 + 0.262046i 0.699667 0.714469i \(-0.253332\pi\)
−0.215448 + 0.976515i \(0.569121\pi\)
\(164\) 0.281210 0.0965395i 0.0219588 0.00753847i
\(165\) −2.34215 0.129220i −0.182336 0.0100598i
\(166\) −8.50479 5.89709i −0.660100 0.457703i
\(167\) 10.5848 + 0.583978i 0.819074 + 0.0451896i 0.459778 0.888034i \(-0.347929\pi\)
0.359296 + 0.933224i \(0.383017\pi\)
\(168\) 2.04753 1.78320i 0.157970 0.137577i
\(169\) −2.56775 + 13.1454i −0.197519 + 1.01119i
\(170\) −0.394455 4.76036i −0.0302533 0.365103i
\(171\) 11.0307 + 2.28046i 0.843536 + 0.174391i
\(172\) −1.01419 + 12.2394i −0.0773310 + 0.933247i
\(173\) 0.525543 + 0.148609i 0.0399563 + 0.0112986i 0.292023 0.956411i \(-0.405672\pi\)
−0.252067 + 0.967710i \(0.581110\pi\)
\(174\) 0.629142 + 4.53704i 0.0476951 + 0.343952i
\(175\) 11.8020 + 14.3304i 0.892151 + 1.08328i
\(176\) 1.41282 + 4.51705i 0.106496 + 0.340485i
\(177\) 6.64609 3.13637i 0.499551 0.235744i
\(178\) 0.674061 + 8.13471i 0.0505230 + 0.609722i
\(179\) −12.9653 + 10.0913i −0.969069 + 0.754257i −0.969335 0.245743i \(-0.920968\pi\)
0.000265606 1.00000i \(0.499915\pi\)
\(180\) −1.69193 1.04002i −0.126109 0.0775187i
\(181\) 15.1830 + 9.33292i 1.12854 + 0.693711i 0.956602 0.291397i \(-0.0941201\pi\)
0.171938 + 0.985108i \(0.444997\pi\)
\(182\) 17.0695 13.2857i 1.26528 0.984805i
\(183\) −0.285494 3.44540i −0.0211043 0.254691i
\(184\) −1.13218 + 0.534287i −0.0834652 + 0.0393882i
\(185\) 0.751899 + 2.40395i 0.0552807 + 0.176742i
\(186\) 4.14123 + 5.02841i 0.303649 + 0.368701i
\(187\) 4.04034 + 29.1368i 0.295459 + 2.13070i
\(188\) −1.28784 0.364166i −0.0939254 0.0265596i
\(189\) 1.25206 15.1101i 0.0910738 1.09910i
\(190\) 3.32311 0.423736i 0.241083 0.0307410i
\(191\) −0.292633 3.53156i −0.0211742 0.255534i −0.998947 0.0458693i \(-0.985394\pi\)
0.977773 0.209665i \(-0.0672374\pi\)
\(192\) 0.123631 0.632923i 0.00892232 0.0456773i
\(193\) 14.9118 12.9867i 1.07337 0.934801i 0.0753186 0.997160i \(-0.476003\pi\)
0.998054 + 0.0623587i \(0.0198623\pi\)
\(194\) −10.0506 0.554507i −0.721591 0.0398113i
\(195\) 2.09246 + 1.45088i 0.149844 + 0.103900i
\(196\) −10.7105 0.590917i −0.765038 0.0422083i
\(197\) 10.9102 3.74549i 0.777322 0.266855i 0.0926427 0.995699i \(-0.470469\pi\)
0.684679 + 0.728844i \(0.259942\pi\)
\(198\) 10.7562 + 5.82096i 0.764409 + 0.413677i
\(199\) −6.99466 8.49314i −0.495838 0.602063i 0.462880 0.886421i \(-0.346816\pi\)
−0.958718 + 0.284358i \(0.908220\pi\)
\(200\) 4.30262 + 0.964239i 0.304241 + 0.0681820i
\(201\) 2.40631 + 9.50231i 0.169728 + 0.670241i
\(202\) 7.04414 + 1.17546i 0.495624 + 0.0827050i
\(203\) 17.7107 24.0963i 1.24305 1.69123i
\(204\) 1.40539 3.75363i 0.0983970 0.262807i
\(205\) 0.0313858 0.226338i 0.00219208 0.0158081i
\(206\) 10.2194 + 4.82266i 0.712021 + 0.336011i
\(207\) −1.13435 + 3.02971i −0.0788426 + 0.210579i
\(208\) 1.26118 4.98029i 0.0874472 0.345321i
\(209\) −20.2895 + 3.73281i −1.40345 + 0.258204i
\(210\) −0.512263 2.02288i −0.0353495 0.139592i
\(211\) −6.10314 0.675495i −0.420158 0.0465030i −0.102556 0.994727i \(-0.532702\pi\)
−0.317602 + 0.948224i \(0.602877\pi\)
\(212\) 4.42127 + 1.25022i 0.303654 + 0.0858653i
\(213\) −2.80855 + 2.73219i −0.192438 + 0.187207i
\(214\) 5.77811 0.318787i 0.394984 0.0217919i
\(215\) 8.04109 + 4.94284i 0.548398 + 0.337099i
\(216\) −1.96962 3.01474i −0.134016 0.205127i
\(217\) 3.51209 42.3846i 0.238416 2.87725i
\(218\) 2.28432 + 6.10114i 0.154714 + 0.413221i
\(219\) 0.545455 0.0603709i 0.0368584 0.00407949i
\(220\) 3.58780 + 0.598697i 0.241889 + 0.0403642i
\(221\) 12.8264 29.2412i 0.862796 1.96698i
\(222\) −0.290299 + 2.09349i −0.0194836 + 0.140506i
\(223\) 5.21524 3.20580i 0.349238 0.214676i −0.337935 0.941169i \(-0.609728\pi\)
0.687173 + 0.726493i \(0.258851\pi\)
\(224\) −3.45995 + 2.39908i −0.231178 + 0.160295i
\(225\) 9.70700 5.96687i 0.647133 0.397791i
\(226\) −14.4594 6.82353i −0.961822 0.453895i
\(227\) 1.10987 2.53026i 0.0736650 0.167939i −0.875083 0.483973i \(-0.839193\pi\)
0.948748 + 0.316034i \(0.102351\pi\)
\(228\) 2.67346 + 0.868479i 0.177054 + 0.0575164i
\(229\) 3.81809 + 8.70436i 0.252306 + 0.575201i 0.995594 0.0937717i \(-0.0298924\pi\)
−0.743287 + 0.668972i \(0.766734\pi\)
\(230\) −0.0265115 + 0.961787i −0.00174812 + 0.0634184i
\(231\) 3.83606 + 12.2646i 0.252395 + 0.806950i
\(232\) −0.195711 7.10005i −0.0128491 0.466141i
\(233\) −12.7526 + 11.1063i −0.835452 + 0.727595i −0.964511 0.264041i \(-0.914944\pi\)
0.129060 + 0.991637i \(0.458804\pi\)
\(234\) −6.63796 11.4973i −0.433937 0.751601i
\(235\) −0.696634 + 0.756746i −0.0454434 + 0.0493647i
\(236\) −10.7783 + 3.70020i −0.701609 + 0.240863i
\(237\) −0.168233 6.10317i −0.0109279 0.396444i
\(238\) −23.6653 + 11.1679i −1.53399 + 0.723908i
\(239\) −9.95830 + 15.2423i −0.644149 + 0.985943i 0.354555 + 0.935035i \(0.384633\pi\)
−0.998703 + 0.0509079i \(0.983789\pi\)
\(240\) −0.391117 0.304418i −0.0252465 0.0196501i
\(241\) −2.01671 5.38640i −0.129908 0.346968i 0.855349 0.518053i \(-0.173343\pi\)
−0.985256 + 0.171085i \(0.945273\pi\)
\(242\) −11.3306 1.25407i −0.728360 0.0806149i
\(243\) −13.9589 3.12826i −0.895463 0.200678i
\(244\) −0.147718 + 5.35893i −0.00945667 + 0.343071i
\(245\) −4.12203 + 7.13956i −0.263347 + 0.456130i
\(246\) 0.104870 0.160516i 0.00668628 0.0102341i
\(247\) 20.8847 + 8.08153i 1.32886 + 0.514215i
\(248\) −5.52490 8.45649i −0.350831 0.536987i
\(249\) −6.66395 + 0.367660i −0.422311 + 0.0232995i
\(250\) 4.59724 5.58212i 0.290755 0.353044i
\(251\) −8.13879 7.08807i −0.513716 0.447395i 0.360623 0.932712i \(-0.382564\pi\)
−0.874339 + 0.485316i \(0.838704\pi\)
\(252\) −2.08581 + 10.6782i −0.131394 + 0.672662i
\(253\) −0.163263 5.92286i −0.0102642 0.372367i
\(254\) −8.78432 4.75384i −0.551177 0.298282i
\(255\) −2.08630 2.26633i −0.130649 0.141923i
\(256\) −0.298515 + 0.954405i −0.0186572 + 0.0596503i
\(257\) 5.91163 5.75092i 0.368757 0.358733i −0.489454 0.872029i \(-0.662804\pi\)
0.858211 + 0.513296i \(0.171576\pi\)
\(258\) 4.33187 + 6.63042i 0.269690 + 0.412792i
\(259\) 10.8891 8.47536i 0.676618 0.526633i
\(260\) −2.97751 2.59312i −0.184658 0.160818i
\(261\) −13.1561 12.7984i −0.814341 0.792204i
\(262\) 1.60442 + 2.77893i 0.0991213 + 0.171683i
\(263\) 17.2929 + 11.9906i 1.06633 + 0.739374i 0.966767 0.255658i \(-0.0822921\pi\)
0.0995582 + 0.995032i \(0.468257\pi\)
\(264\) 2.50818 + 1.73913i 0.154368 + 0.107036i
\(265\) 2.39161 2.59798i 0.146915 0.159593i
\(266\) −8.55732 16.2352i −0.524683 0.995444i
\(267\) 3.56516 + 3.87280i 0.218185 + 0.237012i
\(268\) −2.08777 15.0559i −0.127531 0.919688i
\(269\) −12.2402 1.35474i −0.746296 0.0826000i −0.271187 0.962527i \(-0.587416\pi\)
−0.475109 + 0.879927i \(0.657592\pi\)
\(270\) −2.75083 + 0.304461i −0.167410 + 0.0185289i
\(271\) 13.6323 + 26.9381i 0.828101 + 1.63637i 0.769985 + 0.638062i \(0.220264\pi\)
0.0581157 + 0.998310i \(0.481491\pi\)
\(272\) −2.80638 + 5.54555i −0.170162 + 0.336248i
\(273\) 3.42433 13.5224i 0.207250 0.818410i
\(274\) 3.63835 8.29460i 0.219801 0.501095i
\(275\) −12.3592 + 16.8153i −0.745287 + 1.01400i
\(276\) −0.364541 + 0.720353i −0.0219428 + 0.0433601i
\(277\) −21.8542 + 3.64682i −1.31309 + 0.219116i −0.779381 0.626551i \(-0.784466\pi\)
−0.533711 + 0.845667i \(0.679203\pi\)
\(278\) −5.48541 12.5055i −0.328993 0.750029i
\(279\) −25.4713 5.70825i −1.52492 0.341744i
\(280\) 0.444452 + 3.20516i 0.0265611 + 0.191545i
\(281\) 2.81253 8.99215i 0.167781 0.536427i −0.832052 0.554698i \(-0.812834\pi\)
0.999833 + 0.0182712i \(0.00581623\pi\)
\(282\) −0.799633 + 0.324783i −0.0476175 + 0.0193405i
\(283\) −11.7420 + 14.2575i −0.697991 + 0.847523i −0.994194 0.107602i \(-0.965683\pi\)
0.296203 + 0.955125i \(0.404279\pi\)
\(284\) 4.79475 3.73190i 0.284516 0.221448i
\(285\) 1.52330 1.53191i 0.0902328 0.0907427i
\(286\) 19.1879 + 14.9346i 1.13461 + 0.883099i
\(287\) −1.22151 + 0.273747i −0.0721036 + 0.0161588i
\(288\) 1.16682 + 2.30569i 0.0687554 + 0.135864i
\(289\) −12.8094 + 17.4278i −0.753493 + 1.02516i
\(290\) −4.93669 2.32968i −0.289892 0.136804i
\(291\) −5.33444 + 3.69882i −0.312710 + 0.216829i
\(292\) −0.850982 −0.0497999
\(293\) −5.87232 −0.343065 −0.171532 0.985178i \(-0.554872\pi\)
−0.171532 + 0.985178i \(0.554872\pi\)
\(294\) −5.68470 + 3.94169i −0.331539 + 0.229884i
\(295\) −1.20297 + 8.67517i −0.0700394 + 0.505088i
\(296\) 0.804544 3.17707i 0.0467632 0.184664i
\(297\) 16.8111 2.80527i 0.975478 0.162778i
\(298\) 4.59344 1.29890i 0.266091 0.0752433i
\(299\) −3.21585 + 5.57002i −0.185977 + 0.322122i
\(300\) 2.57155 1.21355i 0.148469 0.0700641i
\(301\) 9.91307 50.7494i 0.571380 2.92515i
\(302\) −5.90947 5.74882i −0.340052 0.330808i
\(303\) 4.05039 2.19196i 0.232689 0.125925i
\(304\) −3.97233 1.79460i −0.227829 0.102927i
\(305\) 3.62356 + 1.96097i 0.207485 + 0.112285i
\(306\) 4.79441 + 15.3286i 0.274078 + 0.876277i
\(307\) −0.657228 + 1.13835i −0.0375100 + 0.0649692i −0.884171 0.467164i \(-0.845276\pi\)
0.846661 + 0.532133i \(0.178609\pi\)
\(308\) −3.82018 19.5572i −0.217675 1.11437i
\(309\) 7.11096 1.59360i 0.404528 0.0906569i
\(310\) −7.71621 + 0.854030i −0.438251 + 0.0485056i
\(311\) 6.24556 + 24.6632i 0.354153 + 1.39852i 0.848473 + 0.529239i \(0.177523\pi\)
−0.494319 + 0.869280i \(0.664583\pi\)
\(312\) −1.33086 3.03404i −0.0753448 0.171769i
\(313\) −15.3245 + 4.33335i −0.866190 + 0.244935i −0.676081 0.736828i \(-0.736323\pi\)
−0.190109 + 0.981763i \(0.560884\pi\)
\(314\) −2.78821 14.2741i −0.157348 0.805532i
\(315\) 6.59861 + 5.13591i 0.371790 + 0.289376i
\(316\) −0.781825 + 9.43523i −0.0439811 + 0.530773i
\(317\) −10.0670 + 9.79332i −0.565418 + 0.550047i −0.923478 0.383651i \(-0.874666\pi\)
0.358060 + 0.933699i \(0.383438\pi\)
\(318\) 2.74522 1.11501i 0.153944 0.0625267i
\(319\) 31.1452 + 12.6501i 1.74380 + 0.708269i
\(320\) 0.550880 + 0.535904i 0.0307951 + 0.0299580i
\(321\) 2.81424 2.45092i 0.157076 0.136797i
\(322\) 4.98536 1.71148i 0.277824 0.0953769i
\(323\) −22.5163 15.0654i −1.25284 0.838259i
\(324\) 5.13585 + 1.76314i 0.285325 + 0.0979521i
\(325\) 20.9878 8.52452i 1.16420 0.472855i
\(326\) −7.01864 + 0.387229i −0.388727 + 0.0214467i
\(327\) 3.57914 + 2.20009i 0.197927 + 0.121665i
\(328\) −0.189013 + 0.229506i −0.0104365 + 0.0126723i
\(329\) 5.22064 + 2.12044i 0.287823 + 0.116904i
\(330\) 2.06299 1.11643i 0.113564 0.0614577i
\(331\) −8.12064 + 8.82137i −0.446351 + 0.484866i −0.917809 0.397022i \(-0.870044\pi\)
0.471458 + 0.881888i \(0.343728\pi\)
\(332\) 10.3335 + 0.570118i 0.567127 + 0.0312893i
\(333\) −4.23455 7.33445i −0.232052 0.401926i
\(334\) −9.32318 + 5.04545i −0.510142 + 0.276075i
\(335\) −11.0489 3.79310i −0.603668 0.207239i
\(336\) −0.810520 + 2.59138i −0.0442175 + 0.141371i
\(337\) −0.752024 0.212652i −0.0409654 0.0115839i 0.251559 0.967842i \(-0.419057\pi\)
−0.292525 + 0.956258i \(0.594495\pi\)
\(338\) −4.69639 12.5435i −0.255450 0.682277i
\(339\) −10.0612 + 2.25477i −0.546450 + 0.122462i
\(340\) 2.82892 + 3.84888i 0.153419 + 0.208735i
\(341\) 47.1559 7.86893i 2.55364 0.426127i
\(342\) −10.5915 + 3.83369i −0.572720 + 0.207302i
\(343\) 15.4771 + 2.58267i 0.835686 + 0.139451i
\(344\) −5.54545 10.9581i −0.298990 0.590821i
\(345\) 0.367469 + 0.499959i 0.0197839 + 0.0269169i
\(346\) −0.525543 + 0.148609i −0.0282534 + 0.00798929i
\(347\) 0.162619 5.89950i 0.00872983 0.316702i −0.982633 0.185557i \(-0.940591\pi\)
0.991363 0.131145i \(-0.0418652\pi\)
\(348\) −2.91190 3.53573i −0.156094 0.189535i
\(349\) 14.5154 + 15.7680i 0.776994 + 0.844040i 0.991148 0.132760i \(-0.0423839\pi\)
−0.214155 + 0.976800i \(0.568700\pi\)
\(350\) −17.5588 6.02796i −0.938560 0.322208i
\(351\) −17.1408 6.96200i −0.914909 0.371604i
\(352\) −3.56907 3.10831i −0.190232 0.165673i
\(353\) 1.70480 + 20.5739i 0.0907375 + 1.09504i 0.878077 + 0.478519i \(0.158826\pi\)
−0.787340 + 0.616520i \(0.788542\pi\)
\(354\) −4.01951 + 6.15231i −0.213634 + 0.326992i
\(355\) −0.895215 4.58300i −0.0475131 0.243241i
\(356\) −4.83417 6.57713i −0.256211 0.348587i
\(357\) −7.61980 + 15.0571i −0.403283 + 0.796908i
\(358\) 5.76084 15.3865i 0.304470 0.813202i
\(359\) 0.117534 0.0722481i 0.00620323 0.00381311i −0.520568 0.853820i \(-0.674280\pi\)
0.526771 + 0.850007i \(0.323403\pi\)
\(360\) 1.98602 0.104672
\(361\) 9.85842 16.2423i 0.518864 0.854857i
\(362\) −17.8221 −0.936706
\(363\) −6.26295 + 3.84982i −0.328719 + 0.202063i
\(364\) −7.58447 + 20.2572i −0.397534 + 1.06177i
\(365\) −0.295311 + 0.583551i −0.0154573 + 0.0305444i
\(366\) 2.04748 + 2.78570i 0.107024 + 0.145611i
\(367\) −4.68847 24.0024i −0.244736 1.25291i −0.877881 0.478880i \(-0.841043\pi\)
0.633144 0.774034i \(-0.281764\pi\)
\(368\) 0.684732 1.04806i 0.0356941 0.0546339i
\(369\) 0.0634466 + 0.765686i 0.00330290 + 0.0398600i
\(370\) −1.89944 1.65423i −0.0987473 0.0859991i
\(371\) −17.9229 7.27967i −0.930513 0.377942i
\(372\) −6.16123 2.11515i −0.319445 0.109666i
\(373\) −14.8261 16.1055i −0.767669 0.833910i 0.222332 0.974971i \(-0.428633\pi\)
−0.990001 + 0.141061i \(0.954949\pi\)
\(374\) −18.7002 22.7064i −0.966965 1.17412i
\(375\) 0.128499 4.66172i 0.00663568 0.240730i
\(376\) 1.28784 0.364166i 0.0664153 0.0187804i
\(377\) −21.6109 29.4026i −1.11302 1.51431i
\(378\) 6.84609 + 13.5282i 0.352125 + 0.695818i
\(379\) −8.81909 1.47165i −0.453006 0.0755933i −0.0663069 0.997799i \(-0.521122\pi\)
−0.386699 + 0.922206i \(0.626385\pi\)
\(380\) −2.60912 + 2.10121i −0.133845 + 0.107790i
\(381\) −6.35336 + 1.06019i −0.325493 + 0.0543151i
\(382\) 2.09868 + 2.85536i 0.107378 + 0.146093i
\(383\) 33.6779 7.54740i 1.72086 0.385654i 0.757285 0.653085i \(-0.226526\pi\)
0.963577 + 0.267431i \(0.0861747\pi\)
\(384\) 0.226121 + 0.603942i 0.0115392 + 0.0308198i
\(385\) −14.7368 4.16717i −0.751057 0.212379i
\(386\) −5.90286 + 18.8725i −0.300447 + 0.960584i
\(387\) −30.0170 10.3048i −1.52585 0.523825i
\(388\) 8.85269 4.79083i 0.449427 0.243218i
\(389\) −0.972053 1.68365i −0.0492851 0.0853642i 0.840330 0.542074i \(-0.182361\pi\)
−0.889616 + 0.456710i \(0.849028\pi\)
\(390\) −2.54240 0.140268i −0.128739 0.00710275i
\(391\) 5.26987 5.72460i 0.266509 0.289506i
\(392\) 9.43396 5.10540i 0.476487 0.257862i
\(393\) 1.91722 + 0.778709i 0.0967111 + 0.0392806i
\(394\) −7.33323 + 8.90425i −0.369443 + 0.448590i
\(395\) 6.19878 + 3.81038i 0.311895 + 0.191721i
\(396\) −12.2117 + 0.673737i −0.613660 + 0.0338566i
\(397\) −4.15211 + 1.68644i −0.208389 + 0.0846401i −0.478116 0.878296i \(-0.658680\pi\)
0.269728 + 0.962937i \(0.413066\pi\)
\(398\) 10.4065 + 3.57256i 0.521631 + 0.179076i
\(399\) −10.7856 4.87265i −0.539954 0.243938i
\(400\) −4.17043 + 1.43171i −0.208521 + 0.0715855i
\(401\) −3.99764 + 3.48155i −0.199632 + 0.173860i −0.750790 0.660541i \(-0.770327\pi\)
0.551157 + 0.834401i \(0.314186\pi\)
\(402\) −7.02608 6.83508i −0.350429 0.340903i
\(403\) −48.0809 19.5288i −2.39508 0.972797i
\(404\) −6.61660 + 2.68743i −0.329188 + 0.133705i
\(405\) 2.99131 2.90999i 0.148640 0.144599i
\(406\) −2.46952 + 29.8027i −0.122560 + 1.47908i
\(407\) 12.2405 + 9.52719i 0.606741 + 0.472245i
\(408\) 0.768395 + 3.93375i 0.0380412 + 0.194750i
\(409\) −10.7213 + 3.03170i −0.530135 + 0.149908i −0.526644 0.850086i \(-0.676550\pi\)
−0.00349126 + 0.999994i \(0.501111\pi\)
\(410\) 0.0917889 + 0.209258i 0.00453313 + 0.0103345i
\(411\) −1.43389 5.66230i −0.0707286 0.279301i
\(412\) −11.2316 + 1.24312i −0.553342 + 0.0612439i
\(413\) 46.8186 10.4923i 2.30379 0.516293i
\(414\) −0.620203 3.17509i −0.0304813 0.156047i
\(415\) 3.97694 6.88826i 0.195220 0.338131i
\(416\) 1.53362 + 4.90325i 0.0751919 + 0.240402i
\(417\) −7.74494 4.19135i −0.379271 0.205251i
\(418\) 15.3302 13.8051i 0.749826 0.675230i
\(419\) 21.5787 11.6778i 1.05419 0.570499i 0.146098 0.989270i \(-0.453329\pi\)
0.908092 + 0.418771i \(0.137539\pi\)
\(420\) 1.49574 + 1.45507i 0.0729844 + 0.0710003i
\(421\) 3.48860 17.8597i 0.170024 0.870428i −0.794668 0.607045i \(-0.792355\pi\)
0.964691 0.263383i \(-0.0848382\pi\)
\(422\) 5.55312 2.62058i 0.270322 0.127568i
\(423\) 1.72921 2.99509i 0.0840773 0.145626i
\(424\) −4.42127 + 1.25022i −0.214716 + 0.0607159i
\(425\) −27.0312 + 4.51071i −1.31121 + 0.218802i
\(426\) 0.961878 3.79837i 0.0466031 0.184032i
\(427\) 3.10026 22.3575i 0.150032 1.08195i
\(428\) −4.75555 + 3.29742i −0.229868 + 0.159387i
\(429\) 15.6804 0.757055
\(430\) −9.43879 −0.455179
\(431\) −15.0882 + 10.4619i −0.726774 + 0.503934i −0.874458 0.485100i \(-0.838783\pi\)
0.147684 + 0.989035i \(0.452818\pi\)
\(432\) 3.25670 + 1.53687i 0.156688 + 0.0739428i
\(433\) −6.66748 + 9.07143i −0.320419 + 0.435945i −0.935932 0.352181i \(-0.885440\pi\)
0.615513 + 0.788127i \(0.288949\pi\)
\(434\) 19.2036 + 37.9474i 0.921804 + 1.82153i
\(435\) −3.43508 + 0.769820i −0.164700 + 0.0369101i
\(436\) −5.14106 4.00145i −0.246212 0.191634i
\(437\) 4.17404 + 3.51509i 0.199672 + 0.168149i
\(438\) −0.433069 + 0.337071i −0.0206928 + 0.0161059i
\(439\) −8.73337 + 10.6043i −0.416821 + 0.506118i −0.937668 0.347532i \(-0.887020\pi\)
0.520847 + 0.853650i \(0.325616\pi\)
\(440\) −3.37004 + 1.36879i −0.160660 + 0.0652545i
\(441\) 8.27466 26.4556i 0.394031 1.25979i
\(442\) 4.38579 + 31.6280i 0.208611 + 1.50439i
\(443\) −21.3185 4.77758i −1.01287 0.226990i −0.319513 0.947582i \(-0.603519\pi\)
−0.693359 + 0.720592i \(0.743870\pi\)
\(444\) −0.848991 1.93550i −0.0402913 0.0918550i
\(445\) −6.18776 + 1.03255i −0.293328 + 0.0489478i
\(446\) −2.76418 + 5.46216i −0.130888 + 0.258641i
\(447\) 1.82313 2.48046i 0.0862312 0.117322i
\(448\) 1.69127 3.85570i 0.0799049 0.182165i
\(449\) 1.72450 6.80990i 0.0813843 0.321379i −0.915297 0.402779i \(-0.868044\pi\)
0.996682 + 0.0813998i \(0.0259391\pi\)
\(450\) −5.14489 + 10.1666i −0.242533 + 0.479258i
\(451\) −0.635383 1.25555i −0.0299190 0.0591216i
\(452\) 15.8915 1.75887i 0.747473 0.0827303i
\(453\) −5.28445 0.584883i −0.248285 0.0274802i
\(454\) 0.379504 + 2.73679i 0.0178110 + 0.128444i
\(455\) 11.2592 + 12.2307i 0.527837 + 0.573384i
\(456\) −2.73237 + 0.660146i −0.127955 + 0.0309142i
\(457\) −13.6145 + 14.7893i −0.636859 + 0.691813i −0.967766 0.251850i \(-0.918961\pi\)
0.330907 + 0.943663i \(0.392645\pi\)
\(458\) −7.81094 5.41599i −0.364981 0.253072i
\(459\) 18.3928 + 12.7533i 0.858502 + 0.595272i
\(460\) −0.481076 0.833249i −0.0224303 0.0388504i
\(461\) −10.6113 10.3229i −0.494219 0.480784i 0.407440 0.913232i \(-0.366422\pi\)
−0.901659 + 0.432448i \(0.857650\pi\)
\(462\) −9.69065 8.43959i −0.450850 0.392645i
\(463\) −16.1242 + 12.5500i −0.749357 + 0.583248i −0.915246 0.402896i \(-0.868004\pi\)
0.165888 + 0.986145i \(0.446951\pi\)
\(464\) 3.88483 + 5.94618i 0.180349 + 0.276044i
\(465\) −3.58854 + 3.49098i −0.166414 + 0.161890i
\(466\) 5.04815 16.1398i 0.233851 0.747664i
\(467\) 26.1541 + 28.4110i 1.21027 + 1.31470i 0.935557 + 0.353175i \(0.114898\pi\)
0.274711 + 0.961527i \(0.411418\pi\)
\(468\) 11.6758 + 6.31864i 0.539715 + 0.292079i
\(469\) 1.76339 + 63.9726i 0.0814259 + 2.95398i
\(470\) 0.197188 1.00950i 0.00909563 0.0465645i
\(471\) −7.07284 6.15974i −0.325899 0.283826i
\(472\) 7.24457 8.79659i 0.333458 0.404896i
\(473\) 58.0375 3.20202i 2.66857 0.147229i
\(474\) 3.33939 + 5.11131i 0.153383 + 0.234770i
\(475\) −3.99719 18.7996i −0.183404 0.862585i
\(476\) 14.3126 21.9070i 0.656016 1.00411i
\(477\) −5.93656 + 10.2824i −0.271816 + 0.470800i
\(478\) 0.501683 18.2001i 0.0229464 0.832454i
\(479\) −24.9042 5.58117i −1.13790 0.255010i −0.391290 0.920268i \(-0.627971\pi\)
−0.746614 + 0.665257i \(0.768322\pi\)
\(480\) 0.492616 + 0.0545227i 0.0224847 + 0.00248861i
\(481\) −5.90383 15.7684i −0.269192 0.718979i
\(482\) 4.53878 + 3.53268i 0.206736 + 0.160909i
\(483\) 1.85917 2.84567i 0.0845950 0.129482i
\(484\) 10.3095 4.86517i 0.468614 0.221144i
\(485\) −0.213163 7.73316i −0.00967923 0.351145i
\(486\) 13.5300 4.64486i 0.613735 0.210695i
\(487\) 21.2991 23.1370i 0.965155 1.04844i −0.0336439 0.999434i \(-0.510711\pi\)
0.998799 0.0490036i \(-0.0156046\pi\)
\(488\) −2.68048 4.64274i −0.121340 0.210167i
\(489\) −3.41844 + 2.97712i −0.154587 + 0.134630i
\(490\) −0.227159 8.24092i −0.0102620 0.372287i
\(491\) −11.4376 36.5680i −0.516171 1.65029i −0.737695 0.675134i \(-0.764086\pi\)
0.221524 0.975155i \(-0.428897\pi\)
\(492\) −0.00528319 + 0.191664i −0.000238184 + 0.00864089i
\(493\) 17.7329 + 40.4269i 0.798648 + 1.82074i
\(494\) −22.0242 + 4.05196i −0.990915 + 0.182306i
\(495\) −3.77574 + 8.60782i −0.169707 + 0.386893i
\(496\) 9.13520 + 4.31101i 0.410183 + 0.193570i
\(497\) −21.7934 + 13.3964i −0.977569 + 0.600909i
\(498\) 5.48462 3.80295i 0.245772 0.170414i
\(499\) 37.3918 22.9847i 1.67389 1.02893i 0.739185 0.673503i \(-0.235211\pi\)
0.934702 0.355432i \(-0.115666\pi\)
\(500\) −0.993273 + 7.16297i −0.0444205 + 0.320338i
\(501\) −2.74613 + 6.26054i −0.122688 + 0.279700i
\(502\) 10.6454 + 1.77641i 0.475128 + 0.0792849i
\(503\) −0.166697 + 0.0184500i −0.00743263 + 0.000822644i −0.113724 0.993512i \(-0.536278\pi\)
0.106291 + 0.994335i \(0.466102\pi\)
\(504\) −3.81493 10.1892i −0.169931 0.453865i
\(505\) −0.453245 + 5.46985i −0.0201691 + 0.243405i
\(506\) 3.24073 + 4.96030i 0.144068 + 0.220512i
\(507\) −7.35846 4.52323i −0.326801 0.200884i
\(508\) 9.97299 0.550225i 0.442480 0.0244123i
\(509\) 9.35208 9.09784i 0.414524 0.403255i −0.460248 0.887790i \(-0.652239\pi\)
0.874772 + 0.484536i \(0.161011\pi\)
\(510\) 2.96418 + 0.838189i 0.131256 + 0.0371156i
\(511\) 3.56116 + 0.394149i 0.157537 + 0.0174361i
\(512\) −0.245485 0.969400i −0.0108490 0.0428418i
\(513\) −8.36613 + 13.2816i −0.369374 + 0.586397i
\(514\) −2.02463 + 7.99509i −0.0893026 + 0.352648i
\(515\) −3.04519 + 8.13334i −0.134187 + 0.358398i
\(516\) −7.16257 3.38010i −0.315315 0.148801i
\(517\) −0.870017 + 6.27411i −0.0382633 + 0.275935i
\(518\) −4.83836 + 12.9227i −0.212585 + 0.567790i
\(519\) −0.208588 + 0.283794i −0.00915598 + 0.0124572i
\(520\) 3.89455 + 0.649885i 0.170787 + 0.0284994i
\(521\) 5.16555 + 20.3983i 0.226307 + 0.893666i 0.973431 + 0.228981i \(0.0735394\pi\)
−0.747124 + 0.664685i \(0.768566\pi\)
\(522\) 17.9101 + 4.01375i 0.783905 + 0.175677i
\(523\) 10.8472 + 13.1711i 0.474316 + 0.575931i 0.953350 0.301866i \(-0.0976095\pi\)
−0.479034 + 0.877796i \(0.659013\pi\)
\(524\) −2.82209 1.52724i −0.123283 0.0667177i
\(525\) −11.3234 + 3.88734i −0.494195 + 0.169658i
\(526\) −21.0113 1.15923i −0.916137 0.0505447i
\(527\) 51.5927 + 35.7736i 2.24742 + 1.55832i
\(528\) −3.04751 0.168136i −0.132626 0.00731716i
\(529\) 16.1626 14.0760i 0.702720 0.611999i
\(530\) −0.676967 + 3.46569i −0.0294055 + 0.150540i
\(531\) −2.43181 29.3475i −0.105531 1.27357i
\(532\) 15.7921 + 9.34985i 0.684674 + 0.405367i
\(533\) −0.126138 + 1.52226i −0.00546365 + 0.0659364i
\(534\) −5.06531 1.43233i −0.219198 0.0619832i
\(535\) 0.610880 + 4.40534i 0.0264106 + 0.190460i
\(536\) 9.66300 + 11.7331i 0.417378 + 0.506794i
\(537\) −3.16283 10.1121i −0.136486 0.436370i
\(538\) 11.1371 5.25571i 0.480153 0.226590i
\(539\) 4.19242 + 50.5950i 0.180580 + 2.17928i
\(540\) 2.18404 1.69991i 0.0939863 0.0731525i
\(541\) 26.0656 + 16.0224i 1.12065 + 0.688858i 0.954787 0.297291i \(-0.0960832\pi\)
0.165859 + 0.986150i \(0.446960\pi\)
\(542\) −25.7203 15.8102i −1.10478 0.679107i
\(543\) −9.06973 + 7.05925i −0.389219 + 0.302942i
\(544\) −0.513248 6.19399i −0.0220053 0.265565i
\(545\) −4.52801 + 2.13682i −0.193959 + 0.0915314i
\(546\) 4.16404 + 13.3132i 0.178205 + 0.569752i
\(547\) −16.4557 19.9811i −0.703597 0.854330i 0.291152 0.956677i \(-0.405961\pi\)
−0.994749 + 0.102347i \(0.967365\pi\)
\(548\) 1.24408 + 8.97164i 0.0531444 + 0.383249i
\(549\) −13.3307 3.76956i −0.568940 0.160881i
\(550\) 1.72332 20.7974i 0.0734828 0.886805i
\(551\) −27.7759 + 13.6759i −1.18329 + 0.582613i
\(552\) −0.0666696 0.804583i −0.00283765 0.0342453i
\(553\) 7.64188 39.1221i 0.324966 1.66364i
\(554\) 16.7083 14.5512i 0.709866 0.618223i
\(555\) −1.62187 0.0894810i −0.0688445 0.00379826i
\(556\) 11.2219 + 7.78110i 0.475915 + 0.329992i
\(557\) 22.4283 + 1.23740i 0.950318 + 0.0524305i 0.523609 0.851959i \(-0.324585\pi\)
0.426709 + 0.904389i \(0.359673\pi\)
\(558\) 24.6887 8.47565i 1.04516 0.358803i
\(559\) −55.4908 30.0301i −2.34701 1.27014i
\(560\) −2.05709 2.49779i −0.0869280 0.105551i
\(561\) −18.5106 4.14832i −0.781517 0.175142i
\(562\) 2.31290 + 9.13343i 0.0975638 + 0.385271i
\(563\) −21.9734 3.66671i −0.926069 0.154534i −0.317703 0.948190i \(-0.602911\pi\)
−0.608366 + 0.793657i \(0.708175\pi\)
\(564\) 0.511143 0.695435i 0.0215230 0.0292831i
\(565\) 4.30861 11.5078i 0.181264 0.484136i
\(566\) 2.53696 18.2953i 0.106637 0.769007i
\(567\) −20.6757 9.75710i −0.868298 0.409760i
\(568\) −2.13044 + 5.69016i −0.0893914 + 0.238754i
\(569\) −7.30765 + 28.8572i −0.306353 + 1.20976i 0.604358 + 0.796713i \(0.293430\pi\)
−0.910710 + 0.413046i \(0.864465\pi\)
\(570\) −0.495512 + 2.10278i −0.0207547 + 0.0880757i
\(571\) 5.08924 + 20.0970i 0.212978 + 0.841032i 0.979932 + 0.199330i \(0.0638766\pi\)
−0.766954 + 0.641702i \(0.778229\pi\)
\(572\) −24.1674 2.67485i −1.01049 0.111841i
\(573\) 2.19903 + 0.621825i 0.0918656 + 0.0259771i
\(574\) 0.897276 0.872884i 0.0374516 0.0364335i
\(575\) 5.51173 0.304090i 0.229855 0.0126814i
\(576\) −2.20146 1.35324i −0.0917277 0.0563848i
\(577\) −0.981632 1.50250i −0.0408659 0.0625499i 0.816149 0.577841i \(-0.196105\pi\)
−0.857015 + 0.515291i \(0.827684\pi\)
\(578\) 1.78610 21.5550i 0.0742919 0.896570i
\(579\) 4.47133 + 11.9424i 0.185822 + 0.496309i
\(580\) 5.42565 0.600511i 0.225288 0.0249349i
\(581\) −42.9795 7.17200i −1.78309 0.297545i
\(582\) 2.60754 5.94460i 0.108086 0.246412i
\(583\) 2.98685 21.5396i 0.123703 0.892079i
\(584\) 0.724968 0.445636i 0.0299994 0.0184406i
\(585\) 8.38472 5.81384i 0.346666 0.240373i
\(586\) 5.00275 3.07518i 0.206661 0.127034i
\(587\) −22.9553 10.8329i −0.947466 0.447120i −0.110196 0.993910i \(-0.535148\pi\)
−0.837270 + 0.546790i \(0.815850\pi\)
\(588\) 2.77876 6.33492i 0.114594 0.261248i
\(589\) −23.4674 + 37.2556i −0.966959 + 1.53509i
\(590\) −3.51812 8.02051i −0.144839 0.330199i
\(591\) −0.204974 + 7.43609i −0.00843151 + 0.305880i
\(592\) 0.978340 + 3.12793i 0.0402095 + 0.128557i
\(593\) 1.23333 + 44.7428i 0.0506466 + 1.83737i 0.419357 + 0.907821i \(0.362256\pi\)
−0.368710 + 0.929544i \(0.620201\pi\)
\(594\) −12.8526 + 11.1934i −0.527350 + 0.459270i
\(595\) −10.0557 17.4169i −0.412242 0.714025i
\(596\) −3.23304 + 3.51202i −0.132430 + 0.143858i
\(597\) 6.71101 2.30389i 0.274663 0.0942920i
\(598\) −0.177221 6.42926i −0.00724712 0.262912i
\(599\) 35.2935 16.6554i 1.44205 0.680521i 0.463420 0.886139i \(-0.346622\pi\)
0.978632 + 0.205618i \(0.0659203\pi\)
\(600\) −1.55526 + 2.38050i −0.0634931 + 0.0971834i
\(601\) 32.9913 + 25.6781i 1.34574 + 1.04743i 0.993773 + 0.111421i \(0.0355404\pi\)
0.351969 + 0.936012i \(0.385512\pi\)
\(602\) 18.1309 + 48.4256i 0.738962 + 1.97368i
\(603\) 39.0403 + 4.32098i 1.58984 + 0.175964i
\(604\) 8.04490 + 1.80290i 0.327342 + 0.0733591i
\(605\) 0.241411 8.75795i 0.00981476 0.356061i
\(606\) −2.30274 + 3.98846i −0.0935423 + 0.162020i
\(607\) −9.08081 + 13.8992i −0.368579 + 0.564151i −0.972503 0.232890i \(-0.925182\pi\)
0.603925 + 0.797042i \(0.293603\pi\)
\(608\) 4.32389 0.551348i 0.175357 0.0223601i
\(609\) 10.5480 + 16.1449i 0.427427 + 0.654225i
\(610\) −4.11389 + 0.226970i −0.166567 + 0.00918974i
\(611\) 4.37105 5.30747i 0.176834 0.214717i
\(612\) −12.1116 10.5480i −0.489583 0.426378i
\(613\) 6.49844 33.2684i 0.262470 1.34370i −0.584213 0.811600i \(-0.698597\pi\)
0.846683 0.532098i \(-0.178596\pi\)
\(614\) −0.0362190 1.31396i −0.00146168 0.0530270i
\(615\) 0.129598 + 0.0701349i 0.00522590 + 0.00282811i
\(616\) 13.4961 + 14.6606i 0.543772 + 0.590693i
\(617\) −1.41929 + 4.53772i −0.0571384 + 0.182682i −0.978593 0.205804i \(-0.934019\pi\)
0.921455 + 0.388485i \(0.127002\pi\)
\(618\) −5.22343 + 5.08144i −0.210117 + 0.204405i
\(619\) −6.19528 9.48258i −0.249009 0.381137i 0.690683 0.723157i \(-0.257310\pi\)
−0.939693 + 0.342020i \(0.888889\pi\)
\(620\) 6.12635 4.76833i 0.246040 0.191501i
\(621\) −3.39973 2.96083i −0.136426 0.118814i
\(622\) −18.2361 17.7404i −0.731203 0.711325i
\(623\) 17.1836 + 29.7628i 0.688445 + 1.19242i
\(624\) 2.72263 + 1.88783i 0.108992 + 0.0755736i
\(625\) −13.5503 9.39554i −0.542010 0.375821i
\(626\) 10.7860 11.7167i 0.431093 0.468292i
\(627\) 2.33347 13.0977i 0.0931898 0.523073i
\(628\) 9.85026 + 10.7002i 0.393068 + 0.426986i
\(629\) 2.79782 + 20.1764i 0.111556 + 0.804487i
\(630\) −8.31102 0.919864i −0.331119 0.0366482i
\(631\) −5.46511 + 0.604878i −0.217563 + 0.0240798i −0.218129 0.975920i \(-0.569995\pi\)
0.000566064 1.00000i \(0.499820\pi\)
\(632\) −4.27492 8.44748i −0.170047 0.336023i
\(633\) 1.78801 3.53320i 0.0710669 0.140432i
\(634\) 3.44777 13.6149i 0.136928 0.540718i
\(635\) 3.08355 7.02980i 0.122367 0.278969i
\(636\) −1.75480 + 2.38749i −0.0695824 + 0.0946703i
\(637\) 24.8836 49.1712i 0.985922 1.94824i
\(638\) −33.1577 + 5.53304i −1.31273 + 0.219055i
\(639\) 6.30698 + 14.3785i 0.249500 + 0.568804i
\(640\) −0.749944 0.168066i −0.0296441 0.00664341i
\(641\) −5.91189 42.6335i −0.233506 1.68392i −0.638516 0.769608i \(-0.720451\pi\)
0.405011 0.914312i \(-0.367268\pi\)
\(642\) −1.11402 + 3.56173i −0.0439670 + 0.140570i
\(643\) 28.1225 11.4224i 1.10904 0.450454i 0.253055 0.967452i \(-0.418565\pi\)
0.855987 + 0.516998i \(0.172951\pi\)
\(644\) −3.35087 + 4.06874i −0.132043 + 0.160331i
\(645\) −4.80345 + 3.73867i −0.189136 + 0.147210i
\(646\) 27.0714 + 1.04329i 1.06511 + 0.0410477i
\(647\) 37.5357 + 29.2152i 1.47568 + 1.14857i 0.955683 + 0.294398i \(0.0951192\pi\)
0.519996 + 0.854169i \(0.325933\pi\)
\(648\) −5.29863 + 1.18745i −0.208150 + 0.0466475i
\(649\) 24.3532 + 48.1233i 0.955947 + 1.88900i
\(650\) −13.4159 + 18.2530i −0.526214 + 0.715940i
\(651\) 24.8037 + 11.7051i 0.972132 + 0.458760i
\(652\) 5.77654 4.00536i 0.226227 0.156862i
\(653\) −11.2998 −0.442196 −0.221098 0.975252i \(-0.570964\pi\)
−0.221098 + 0.975252i \(0.570964\pi\)
\(654\) −4.20127 −0.164283
\(655\) −2.02662 + 1.40522i −0.0791865 + 0.0549067i
\(656\) 0.0408379 0.294502i 0.00159445 0.0114984i
\(657\) 0.539833 2.13175i 0.0210609 0.0831676i
\(658\) −5.55798 + 0.927463i −0.216673 + 0.0361563i
\(659\) −11.9236 + 3.37166i −0.464476 + 0.131341i −0.496298 0.868152i \(-0.665308\pi\)
0.0318219 + 0.999494i \(0.489869\pi\)
\(660\) −1.17285 + 2.03144i −0.0456533 + 0.0790738i
\(661\) 9.30111 4.38930i 0.361771 0.170724i −0.237267 0.971445i \(-0.576252\pi\)
0.599038 + 0.800721i \(0.295550\pi\)
\(662\) 2.29862 11.7677i 0.0893384 0.457363i
\(663\) 14.7597 + 14.3585i 0.573219 + 0.557636i
\(664\) −9.10190 + 4.92570i −0.353222 + 0.191154i
\(665\) 11.8918 7.58461i 0.461143 0.294119i
\(666\) 7.44835 + 4.03084i 0.288618 + 0.156192i
\(667\) −2.65440 8.48659i −0.102779 0.328602i
\(668\) 5.30043 9.18062i 0.205080 0.355209i
\(669\) 0.756841 + 3.87460i 0.0292611 + 0.149801i
\(670\) 11.3991 2.55461i 0.440388 0.0986932i
\(671\) 25.2186 2.79120i 0.973555 0.107753i
\(672\) −0.666536 2.63209i −0.0257122 0.101535i
\(673\) 7.61600 + 17.3627i 0.293575 + 0.669284i 0.999229 0.0392730i \(-0.0125042\pi\)
−0.705653 + 0.708557i \(0.749346\pi\)
\(674\) 0.752024 0.212652i 0.0289669 0.00819106i
\(675\) 3.04409 + 15.5840i 0.117167 + 0.599829i
\(676\) 10.5696 + 8.22669i 0.406525 + 0.316411i
\(677\) 2.43477 29.3833i 0.0935759 1.12929i −0.774403 0.632692i \(-0.781950\pi\)
0.867979 0.496601i \(-0.165419\pi\)
\(678\) 7.39058 7.18967i 0.283834 0.276118i
\(679\) −39.2654 + 15.9482i −1.50687 + 0.612037i
\(680\) −4.42556 1.79751i −0.169713 0.0689313i
\(681\) 1.27716 + 1.24244i 0.0489410 + 0.0476106i
\(682\) −36.0523 + 31.3980i −1.38051 + 1.20229i
\(683\) 14.9711 5.13960i 0.572855 0.196661i −0.0230251 0.999735i \(-0.507330\pi\)
0.595880 + 0.803074i \(0.296803\pi\)
\(684\) 7.01547 8.81246i 0.268243 0.336953i
\(685\) 6.58392 + 2.26026i 0.251559 + 0.0863602i
\(686\) −14.5377 + 5.90471i −0.555053 + 0.225443i
\(687\) −6.12028 + 0.337665i −0.233503 + 0.0128827i
\(688\) 10.4627 + 6.43142i 0.398888 + 0.245196i
\(689\) −15.0062 + 18.2210i −0.571692 + 0.694167i
\(690\) −0.574869 0.233492i −0.0218849 0.00888887i
\(691\) −7.27781 + 3.93855i −0.276861 + 0.149830i −0.608445 0.793596i \(-0.708206\pi\)
0.331584 + 0.943426i \(0.392417\pi\)
\(692\) 0.369897 0.401816i 0.0140614 0.0152747i
\(693\) 51.4151 + 2.83665i 1.95310 + 0.107755i
\(694\) 2.95087 + 5.11106i 0.112014 + 0.194013i
\(695\) 9.23007 4.99506i 0.350117 0.189474i
\(696\) 4.33227 + 1.48727i 0.164214 + 0.0563749i
\(697\) 0.551627 1.76365i 0.0208944 0.0668030i
\(698\) −20.6232 5.83170i −0.780601 0.220733i
\(699\) −3.82391 10.2132i −0.144633 0.386299i
\(700\) 18.1154 4.05976i 0.684698 0.153444i
\(701\) −24.8185 33.7669i −0.937384 1.27536i −0.961261 0.275641i \(-0.911110\pi\)
0.0238769 0.999715i \(-0.492399\pi\)
\(702\) 18.2484 3.04512i 0.688742 0.114931i
\(703\) −14.0499 + 2.58487i −0.529901 + 0.0974901i
\(704\) 4.66829 + 0.779001i 0.175943 + 0.0293597i
\(705\) −0.299507 0.591843i −0.0112801 0.0222901i
\(706\) −12.2264 16.6346i −0.460145 0.626050i
\(707\) 28.9337 8.18166i 1.08816 0.307703i
\(708\) 0.202496 7.34618i 0.00761027 0.276086i
\(709\) −24.6740 29.9599i −0.926650 1.12517i −0.991865 0.127297i \(-0.959370\pi\)
0.0652147 0.997871i \(-0.479227\pi\)
\(710\) 3.16265 + 3.43555i 0.118692 + 0.128934i
\(711\) −23.1398 7.94389i −0.867809 0.297919i
\(712\) 7.56259 + 3.07166i 0.283420 + 0.115115i
\(713\) −9.53642 8.30527i −0.357142 0.311035i
\(714\) −1.39356 16.8178i −0.0521526 0.629389i
\(715\) −10.2209 + 15.6443i −0.382240 + 0.585062i
\(716\) 3.14973 + 16.1249i 0.117711 + 0.602614i
\(717\) −6.95370 9.46084i −0.259690 0.353322i
\(718\) −0.0622955 + 0.123099i −0.00232485 + 0.00459402i
\(719\) −13.1759 + 35.1912i −0.491378 + 1.31241i 0.422478 + 0.906373i \(0.361160\pi\)
−0.913856 + 0.406038i \(0.866910\pi\)
\(720\) −1.69193 + 1.04002i −0.0630544 + 0.0387594i
\(721\) 47.5775 1.77188
\(722\) 0.107060 + 18.9997i 0.00398435 + 0.707096i
\(723\) 3.70909 0.137943
\(724\) 15.1830 9.33292i 0.564270 0.346855i
\(725\) −10.9814 + 29.3300i −0.407839 + 1.08929i
\(726\) 3.31948 6.55947i 0.123197 0.243445i
\(727\) −5.63536 7.66719i −0.209004 0.284360i 0.688620 0.725123i \(-0.258217\pi\)
−0.897624 + 0.440762i \(0.854708\pi\)
\(728\) −4.14680 21.2293i −0.153691 0.786810i
\(729\) −3.86420 + 5.91460i −0.143119 + 0.219059i
\(730\) −0.0540084 0.651785i −0.00199894 0.0241236i
\(731\) 57.5619 + 50.1307i 2.12901 + 1.85415i
\(732\) −3.20308 1.30098i −0.118389 0.0480856i
\(733\) −8.58376 2.94681i −0.317048 0.108843i 0.161582 0.986859i \(-0.448340\pi\)
−0.478631 + 0.878016i \(0.658867\pi\)
\(734\) 16.5636 + 17.9929i 0.611373 + 0.664129i
\(735\) −3.37980 4.10387i −0.124666 0.151373i
\(736\) −0.0344957 + 1.25144i −0.00127153 + 0.0461286i
\(737\) −69.2248 + 19.5749i −2.54993 + 0.721051i
\(738\) −0.455020 0.619078i −0.0167495 0.0227886i
\(739\) −7.05522 13.9415i −0.259531 0.512846i 0.724848 0.688908i \(-0.241910\pi\)
−0.984379 + 0.176062i \(0.943664\pi\)
\(740\) 2.48445 + 0.414581i 0.0913300 + 0.0152403i
\(741\) −9.60325 + 10.7858i −0.352784 + 0.396225i
\(742\) 19.0811 3.18407i 0.700488 0.116891i
\(743\) 8.87556 + 12.0756i 0.325613 + 0.443012i 0.937527 0.347912i \(-0.113109\pi\)
−0.611914 + 0.790924i \(0.709600\pi\)
\(744\) 6.35652 1.42453i 0.233042 0.0522258i
\(745\) 1.28638 + 3.43577i 0.0471294 + 0.125877i
\(746\) 21.0647 + 5.95653i 0.771233 + 0.218084i
\(747\) −7.98341 + 25.5244i −0.292098 + 0.933889i
\(748\) 27.8218 + 9.55124i 1.01727 + 0.349228i
\(749\) 21.4281 11.5963i 0.782967 0.423721i
\(750\) 2.33174 + 4.03870i 0.0851433 + 0.147472i
\(751\) 6.84099 + 0.377428i 0.249631 + 0.0137726i 0.179471 0.983763i \(-0.442561\pi\)
0.0701601 + 0.997536i \(0.477649\pi\)
\(752\) −0.906432 + 0.984647i −0.0330542 + 0.0359064i
\(753\) 6.12114 3.31259i 0.223067 0.120718i
\(754\) 33.8081 + 13.7317i 1.23122 + 0.500077i
\(755\) 4.02809 4.89104i 0.146597 0.178003i
\(756\) −12.9167 7.93986i −0.469776 0.288770i
\(757\) 27.1049 1.49542i 0.985144 0.0543519i 0.444654 0.895702i \(-0.353327\pi\)
0.540490 + 0.841350i \(0.318239\pi\)
\(758\) 8.28381 3.36459i 0.300882 0.122208i
\(759\) 3.61398 + 1.24068i 0.131179 + 0.0450339i
\(760\) 1.12241 3.15639i 0.0407142 0.114494i
\(761\) −50.7662 + 17.4281i −1.84027 + 0.631767i −0.844987 + 0.534786i \(0.820392\pi\)
−0.995286 + 0.0969804i \(0.969082\pi\)
\(762\) 4.85736 4.23028i 0.175964 0.153247i
\(763\) 19.6608 + 19.1263i 0.711768 + 0.692419i
\(764\) −3.28318 1.33351i −0.118781 0.0482448i
\(765\) −11.4362 + 4.64498i −0.413476 + 0.167940i
\(766\) −24.7385 + 24.0660i −0.893839 + 0.869540i
\(767\) 4.83467 58.3458i 0.174570 2.10675i
\(768\) −0.508905 0.396097i −0.0183635 0.0142929i
\(769\) −0.337298 1.72678i −0.0121633 0.0622692i 0.974876 0.222749i \(-0.0715029\pi\)
−0.987039 + 0.160480i \(0.948696\pi\)
\(770\) 14.7368 4.16717i 0.531078 0.150174i
\(771\) 2.13648 + 4.87069i 0.0769435 + 0.175414i
\(772\) −4.85425 19.1690i −0.174708 0.689907i
\(773\) −32.4905 + 3.59604i −1.16860 + 0.129341i −0.673292 0.739377i \(-0.735120\pi\)
−0.495308 + 0.868717i \(0.664945\pi\)
\(774\) 30.9684 6.94019i 1.11314 0.249460i
\(775\) 8.53882 + 43.7140i 0.306723 + 1.57025i
\(776\) −5.03294 + 8.71732i −0.180672 + 0.312933i
\(777\) 2.65636 + 8.49287i 0.0952965 + 0.304680i
\(778\) 1.70979 + 0.925293i 0.0612990 + 0.0331733i
\(779\) 1.25277 + 0.331898i 0.0448850 + 0.0118915i
\(780\) 2.23937 1.21189i 0.0801824 0.0433926i
\(781\) −20.6121 20.0517i −0.737557 0.717507i
\(782\) −1.49168 + 7.63658i −0.0533425 + 0.273084i
\(783\) 23.1315 10.9160i 0.826652 0.390106i
\(784\) −5.36341 + 9.28970i −0.191550 + 0.331775i
\(785\) 10.7558 3.04146i 0.383892 0.108554i
\(786\) −2.04111 + 0.340601i −0.0728039 + 0.0121488i
\(787\) −9.14805 + 36.1248i −0.326093 + 1.28771i 0.561651 + 0.827374i \(0.310166\pi\)
−0.887744 + 0.460337i \(0.847728\pi\)
\(788\) 1.58441 11.4259i 0.0564422 0.407031i
\(789\) −11.1519 + 7.73258i −0.397019 + 0.275287i
\(790\) −7.27626 −0.258878
\(791\) −67.3169 −2.39351
\(792\) 10.0506 6.96890i 0.357131 0.247629i
\(793\) −24.9078 11.7543i −0.884501 0.417406i
\(794\) 2.65412 3.61106i 0.0941913 0.128152i
\(795\) 1.02824 + 2.03185i 0.0364678 + 0.0720624i
\(796\) −10.7364 + 2.40608i −0.380540 + 0.0852811i
\(797\) −22.4274 17.4559i −0.794419 0.618321i 0.133523 0.991046i \(-0.457371\pi\)
−0.927942 + 0.372725i \(0.878424\pi\)
\(798\) 11.7401 1.49701i 0.415596 0.0529934i
\(799\) −6.56411 + 5.10906i −0.232222 + 0.180745i
\(800\) 2.80312 3.40364i 0.0991053 0.120337i
\(801\) 19.5427 7.93755i 0.690506 0.280459i
\(802\) 1.58247 5.05945i 0.0558791 0.178655i
\(803\) 0.553200 + 3.98939i 0.0195220 + 0.140783i
\(804\) 9.56500 + 2.14357i 0.337332 + 0.0755978i
\(805\) 1.62726 + 3.70977i 0.0573533 + 0.130752i
\(806\) 51.1877 8.54172i 1.80301 0.300869i
\(807\) 3.58594 7.08602i 0.126231 0.249440i
\(808\) 4.22947 5.75441i 0.148792 0.202439i
\(809\) −11.4097 + 26.0114i −0.401143 + 0.914514i 0.592875 + 0.805295i \(0.297993\pi\)
−0.994018 + 0.109219i \(0.965165\pi\)
\(810\) −1.02447 + 4.04555i −0.0359963 + 0.142146i
\(811\) 15.7923 31.2064i 0.554542 1.09580i −0.426946 0.904277i \(-0.640410\pi\)
0.981487 0.191527i \(-0.0613439\pi\)
\(812\) −13.5030 26.6827i −0.473864 0.936380i
\(813\) −19.3516 + 2.14183i −0.678690 + 0.0751173i
\(814\) −15.4171 1.70636i −0.540368 0.0598080i
\(815\) −0.742032 5.35115i −0.0259923 0.187443i
\(816\) −2.71461 2.94885i −0.0950304 0.103231i
\(817\) −33.3419 + 41.8823i −1.16648 + 1.46528i
\(818\) 7.54608 8.19723i 0.263843 0.286609i
\(819\) −45.9340 31.8500i −1.60507 1.11293i
\(820\) −0.187779 0.130203i −0.00655753 0.00454689i
\(821\) −10.8421 18.7791i −0.378393 0.655395i 0.612436 0.790520i \(-0.290190\pi\)
−0.990829 + 0.135125i \(0.956856\pi\)
\(822\) 4.18675 + 4.07294i 0.146030 + 0.142060i
\(823\) −35.5833 30.9895i −1.24035 1.08023i −0.993810 0.111094i \(-0.964565\pi\)
−0.246544 0.969132i \(-0.579295\pi\)
\(824\) 8.91745 6.94073i 0.310654 0.241792i
\(825\) −7.36078 11.2665i −0.256270 0.392250i
\(826\) −34.3912 + 33.4563i −1.19662 + 1.16409i
\(827\) 11.2025 35.8165i 0.389550 1.24546i −0.528478 0.848947i \(-0.677237\pi\)
0.918028 0.396515i \(-0.129781\pi\)
\(828\) 2.19107 + 2.38014i 0.0761450 + 0.0827156i
\(829\) −17.0830 9.24486i −0.593317 0.321087i 0.151395 0.988473i \(-0.451624\pi\)
−0.744712 + 0.667386i \(0.767413\pi\)
\(830\) 0.219164 + 7.95086i 0.00760729 + 0.275978i
\(831\) 2.73922 14.0233i 0.0950226 0.486463i
\(832\) −3.87422 3.37406i −0.134314 0.116975i
\(833\) −42.3834 + 51.4633i −1.46850 + 1.78310i
\(834\) 8.79296 0.485121i 0.304475 0.0167984i
\(835\) −4.45612 6.82060i −0.154210 0.236037i
\(836\) −5.83075 + 19.7889i −0.201661 + 0.684412i
\(837\) 19.8958 30.4528i 0.687700 1.05260i
\(838\) −12.2680 + 21.2488i −0.423790 + 0.734026i
\(839\) 0.0537222 1.94894i 0.00185470 0.0672849i −0.998127 0.0611812i \(-0.980513\pi\)
0.999981 0.00610372i \(-0.00194289\pi\)
\(840\) −2.03623 0.456330i −0.0702566 0.0157449i
\(841\) 21.3188 + 2.35956i 0.735131 + 0.0813643i
\(842\) 6.38063 + 17.0419i 0.219891 + 0.587302i
\(843\) 4.79477 + 3.73192i 0.165141 + 0.128534i
\(844\) −3.35849 + 5.14054i −0.115604 + 0.176945i
\(845\) 9.30927 4.39315i 0.320249 0.151129i
\(846\) 0.0952948 + 3.45712i 0.00327630 + 0.118858i
\(847\) −45.3963 + 15.5846i −1.55984 + 0.535492i
\(848\) 3.11186 3.38039i 0.106862 0.116083i
\(849\) −5.95562 10.3154i −0.204396 0.354025i
\(850\) 20.6663 17.9983i 0.708847 0.617336i
\(851\) −0.113055 4.10141i −0.00387546 0.140595i
\(852\) 1.16966 + 3.73961i 0.0400719 + 0.128117i
\(853\) −1.12542 + 40.8283i −0.0385338 + 1.39793i 0.695356 + 0.718666i \(0.255247\pi\)
−0.733890 + 0.679269i \(0.762297\pi\)
\(854\) 9.06683 + 20.6703i 0.310261 + 0.707323i
\(855\) −3.60850 7.86891i −0.123408 0.269111i
\(856\) 2.32457 5.29949i 0.0794522 0.181133i
\(857\) −19.0438 8.98696i −0.650522 0.306989i 0.0729569 0.997335i \(-0.476756\pi\)
−0.723479 + 0.690346i \(0.757458\pi\)
\(858\) −13.3584 + 8.21138i −0.456048 + 0.280332i
\(859\) −7.53623 + 5.22551i −0.257133 + 0.178292i −0.691358 0.722512i \(-0.742987\pi\)
0.434225 + 0.900804i \(0.357022\pi\)
\(860\) 8.04109 4.94284i 0.274199 0.168549i
\(861\) 0.110882 0.799623i 0.00377885 0.0272511i
\(862\) 7.37532 16.8140i 0.251204 0.572688i
\(863\) −41.8711 6.98706i −1.42531 0.237842i −0.598861 0.800853i \(-0.704380\pi\)
−0.826449 + 0.563011i \(0.809643\pi\)
\(864\) −3.57926 + 0.396153i −0.121769 + 0.0134774i
\(865\) −0.147177 0.393092i −0.00500417 0.0133655i
\(866\) 0.929692 11.2197i 0.0315922 0.381261i
\(867\) −7.62891 11.6769i −0.259091 0.396569i
\(868\) −36.2320 22.2717i −1.22979 0.755951i
\(869\) 44.7405 2.46840i 1.51772 0.0837348i
\(870\) 2.52328 2.45469i 0.0855472 0.0832216i
\(871\) 75.1435 + 21.2485i 2.54614 + 0.719980i
\(872\) 6.47522 + 0.716677i 0.219278 + 0.0242697i
\(873\) 6.38545 + 25.2156i 0.216115 + 0.853417i
\(874\) −5.39670 0.808737i −0.182546 0.0273559i
\(875\) 7.47429 29.5153i 0.252677 0.997799i
\(876\) 0.192425 0.513944i 0.00650143 0.0173646i
\(877\) 29.8342 + 14.0791i 1.00743 + 0.475417i 0.858162 0.513380i \(-0.171607\pi\)
0.149267 + 0.988797i \(0.452308\pi\)
\(878\) 1.88692 13.6075i 0.0636804 0.459230i
\(879\) 1.32785 3.54654i 0.0447874 0.119622i
\(880\) 2.15420 2.93090i 0.0726181 0.0988005i
\(881\) 20.7448 + 3.46169i 0.698908 + 0.116627i 0.503373 0.864069i \(-0.332092\pi\)
0.195536 + 0.980697i \(0.437355\pi\)
\(882\) 6.80472 + 26.8712i 0.229127 + 0.904801i
\(883\) −18.7983 4.21280i −0.632613 0.141772i −0.109433 0.993994i \(-0.534904\pi\)
−0.523180 + 0.852222i \(0.675254\pi\)
\(884\) −20.2991 24.6478i −0.682731 0.828995i
\(885\) −4.96728 2.68816i −0.166973 0.0903615i
\(886\) 20.6635 7.09380i 0.694205 0.238321i
\(887\) 5.75920 + 0.317744i 0.193375 + 0.0106688i 0.151516 0.988455i \(-0.451584\pi\)
0.0418586 + 0.999124i \(0.486672\pi\)
\(888\) 1.73684 + 1.20430i 0.0582847 + 0.0404137i
\(889\) −41.9895 2.31662i −1.40828 0.0776971i
\(890\) 4.73075 4.12002i 0.158575 0.138103i
\(891\) 4.92689 25.2229i 0.165057 0.845001i
\(892\) −0.505530 6.10085i −0.0169264 0.204271i
\(893\) −3.78283 4.44095i −0.126588 0.148611i
\(894\) −0.254212 + 3.06788i −0.00850211 + 0.102605i
\(895\) 12.1505 + 3.43582i 0.406145 + 0.114847i
\(896\) 0.578303 + 4.17042i 0.0193197 + 0.139324i
\(897\) −2.63680 3.20169i −0.0880401 0.106901i
\(898\) 2.09703 + 6.70456i 0.0699787 + 0.223734i
\(899\) 64.8850 30.6200i 2.16404 1.02123i
\(900\) −0.940932 11.3554i −0.0313644 0.378512i
\(901\) 22.5352 17.5399i 0.750757 0.584338i
\(902\) 1.19879 + 0.736895i 0.0399154 + 0.0245359i
\(903\) 28.4081 + 17.4624i 0.945364 + 0.581113i
\(904\) −12.6172 + 9.82036i −0.419642 + 0.326620i
\(905\) −1.13109 13.6503i −0.0375988 0.453750i
\(906\) 4.80821 2.26905i 0.159742 0.0753841i
\(907\) −0.768082 2.45569i −0.0255037 0.0815400i 0.940782 0.339012i \(-0.110093\pi\)
−0.966286 + 0.257472i \(0.917110\pi\)
\(908\) −1.75649 2.13279i −0.0582911 0.0707790i
\(909\) −2.53481 18.2797i −0.0840743 0.606300i
\(910\) −15.9968 4.52346i −0.530288 0.149951i
\(911\) 0.640802 7.73333i 0.0212307 0.256217i −0.977701 0.210003i \(-0.932653\pi\)
0.998932 0.0462142i \(-0.0147157\pi\)
\(912\) 1.98206 1.99326i 0.0656326 0.0660035i
\(913\) −4.04486 48.8142i −0.133865 1.61551i
\(914\) 3.85370 19.7288i 0.127469 0.652571i
\(915\) −2.00368 + 1.74500i −0.0662396 + 0.0576881i
\(916\) 9.49050 + 0.523605i 0.313575 + 0.0173004i
\(917\) 11.1024 + 7.69824i 0.366634 + 0.254218i
\(918\) −22.3477 1.23296i −0.737585 0.0406937i
\(919\) 27.0602 9.28977i 0.892633 0.306441i 0.160042 0.987110i \(-0.448837\pi\)
0.732591 + 0.680669i \(0.238311\pi\)
\(920\) 0.846188 + 0.457934i 0.0278980 + 0.0150976i
\(921\) −0.538886 0.654333i −0.0177569 0.0215610i
\(922\) 14.4458 + 3.23738i 0.475747 + 0.106617i
\(923\) 7.66283 + 30.2598i 0.252225 + 0.996014i
\(924\) 12.6752 + 2.11512i 0.416985 + 0.0695824i
\(925\) −8.55838 + 11.6441i −0.281398 + 0.382855i
\(926\) 7.16446 19.1354i 0.235439 0.628829i
\(927\) 4.01088 28.9244i 0.131735 0.950001i
\(928\) −6.42342 3.03128i −0.210859 0.0995068i
\(929\) 0.707307 1.88913i 0.0232060 0.0619805i −0.924395 0.381436i \(-0.875430\pi\)
0.947601 + 0.319455i \(0.103500\pi\)
\(930\) 1.22901 4.85326i 0.0403009 0.159145i
\(931\) −37.3695 28.1025i −1.22473 0.921023i
\(932\) 4.15138 + 16.3934i 0.135983 + 0.536984i
\(933\) −16.3074 1.80490i −0.533879 0.0590898i
\(934\) −37.1592 10.5076i −1.21589 0.343820i
\(935\) 16.2045 15.7640i 0.529943 0.515537i
\(936\) −13.2558 + 0.731341i −0.433278 + 0.0239046i
\(937\) 21.9698 + 13.5048i 0.717723 + 0.441183i 0.833807 0.552057i \(-0.186157\pi\)
−0.116083 + 0.993239i \(0.537034\pi\)
\(938\) −35.0030 53.5761i −1.14289 1.74932i
\(939\) 0.848092 10.2349i 0.0276764 0.334005i
\(940\) 0.360657 + 0.963271i 0.0117633 + 0.0314184i
\(941\) 18.0649 1.99942i 0.588899 0.0651794i 0.189380 0.981904i \(-0.439352\pi\)
0.399520 + 0.916725i \(0.369177\pi\)
\(942\) 9.25118 + 1.54375i 0.301420 + 0.0502980i
\(943\) −0.149518 + 0.340868i −0.00486899 + 0.0111002i
\(944\) −1.56525 + 11.2878i −0.0509446 + 0.367386i
\(945\) −9.92707 + 6.10214i −0.322927 + 0.198503i
\(946\) −47.7665 + 33.1205i −1.55302 + 1.07684i
\(947\) 46.9184 28.8406i 1.52464 0.937194i 0.528547 0.848904i \(-0.322737\pi\)
0.996095 0.0882900i \(-0.0281402\pi\)
\(948\) −5.52155 2.60568i −0.179331 0.0846286i
\(949\) 1.75618 4.00368i 0.0570080 0.129965i
\(950\) 13.2501 + 13.9225i 0.429891 + 0.451707i
\(951\) −3.63824 8.29435i −0.117978 0.268963i
\(952\) −0.721044 + 26.1581i −0.0233692 + 0.847790i
\(953\) 12.3300 + 39.4211i 0.399406 + 1.27697i 0.909086 + 0.416609i \(0.136782\pi\)
−0.509680 + 0.860364i \(0.670236\pi\)
\(954\) −0.327156 11.8686i −0.0105921 0.384260i
\(955\) −2.05378 + 1.78864i −0.0664588 + 0.0578790i
\(956\) 9.10351 + 15.7677i 0.294429 + 0.509965i
\(957\) −14.6825 + 15.9494i −0.474618 + 0.515572i
\(958\) 24.1391 8.28697i 0.779899 0.267740i
\(959\) −1.05078 38.1204i −0.0339315 1.23097i
\(960\) −0.448221 + 0.211520i −0.0144663 + 0.00682679i
\(961\) 38.8534 59.4695i 1.25333 1.91837i
\(962\) 13.2871 + 10.3418i 0.428393 + 0.333432i
\(963\) −5.24346 14.0046i −0.168968 0.451294i
\(964\) −5.71665 0.632718i −0.184121 0.0203785i
\(965\) −14.8295 3.32336i −0.477377 0.106983i
\(966\) −0.0936617 + 3.39787i −0.00301352 + 0.109325i
\(967\) 0.492453 0.852954i 0.0158362 0.0274292i −0.857999 0.513652i \(-0.828292\pi\)
0.873835 + 0.486223i \(0.161626\pi\)
\(968\) −6.23511 + 9.54354i −0.200404 + 0.306741i
\(969\) 14.1900 10.1920i 0.455849 0.327413i
\(970\) 4.23124 + 6.47640i 0.135857 + 0.207945i
\(971\) 1.16204 0.0641118i 0.0372918 0.00205745i −0.0364323 0.999336i \(-0.511599\pi\)
0.0737241 + 0.997279i \(0.476512\pi\)
\(972\) −9.09410 + 11.0424i −0.291694 + 0.354184i
\(973\) −43.3571 37.7598i −1.38997 1.21052i
\(974\) −6.02890 + 30.8646i −0.193179 + 0.988966i
\(975\) 0.402529 + 14.6030i 0.0128912 + 0.467671i
\(976\) 4.71483 + 2.55154i 0.150918 + 0.0816728i
\(977\) 2.11528 + 2.29780i 0.0676737 + 0.0735132i 0.768642 0.639679i \(-0.220933\pi\)
−0.700968 + 0.713192i \(0.747249\pi\)
\(978\) 1.35320 4.32642i 0.0432705 0.138344i
\(979\) −27.6909 + 26.9382i −0.885006 + 0.860947i
\(980\) 4.50907 + 6.90164i 0.144037 + 0.220465i
\(981\) 13.2851 10.3402i 0.424161 0.330138i
\(982\) 28.8935 + 25.1634i 0.922030 + 0.802997i
\(983\) −20.9025 20.3343i −0.666686 0.648562i 0.283961 0.958836i \(-0.408351\pi\)
−0.950647 + 0.310273i \(0.899579\pi\)
\(984\) −0.0958685 0.166049i −0.00305618 0.00529345i
\(985\) −7.28536 5.05156i −0.232131 0.160956i
\(986\) −36.2774 25.1542i −1.15531 0.801073i
\(987\) −2.46112 + 2.67349i −0.0783383 + 0.0850981i
\(988\) 16.6409 14.9854i 0.529419 0.476750i
\(989\) −10.4133 11.3119i −0.331125 0.359698i
\(990\) −1.29106 9.31042i −0.0410324 0.295905i
\(991\) −38.7106 4.28449i −1.22968 0.136101i −0.528408 0.848991i \(-0.677211\pi\)
−0.701277 + 0.712889i \(0.747386\pi\)
\(992\) −10.0400 + 1.11123i −0.318771 + 0.0352815i
\(993\) −3.49135 6.89909i −0.110795 0.218936i
\(994\) 11.5509 22.8253i 0.366373 0.723973i
\(995\) −2.07584 + 8.19730i −0.0658085 + 0.259872i
\(996\) −2.68095 + 6.11195i −0.0849491 + 0.193665i
\(997\) −27.5748 + 37.5168i −0.873301 + 1.18817i 0.107703 + 0.994183i \(0.465651\pi\)
−0.981004 + 0.193986i \(0.937858\pi\)
\(998\) −19.8184 + 39.1621i −0.627339 + 1.23966i
\(999\) 11.6412 1.94257i 0.368311 0.0614602i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 722.2.i.a.505.6 576
361.178 even 57 inner 722.2.i.a.539.6 yes 576
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
722.2.i.a.505.6 576 1.1 even 1 trivial
722.2.i.a.539.6 yes 576 361.178 even 57 inner