Properties

Label 770.2.bv.a.3.3
Level $770$
Weight $2$
Character 770.3
Analytic conductor $6.148$
Analytic rank $0$
Dimension $768$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [770,2,Mod(3,770)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(770, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([45, 10, 48]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("770.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bv (of order \(60\), degree \(16\), 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: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(48\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 3.3
Character \(\chi\) \(=\) 770.3
Dual form 770.2.bv.a.257.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.933580 + 0.358368i) q^{2} +(-2.34572 + 1.52333i) q^{3} +(0.743145 - 0.669131i) q^{4} +(2.10146 + 0.764123i) q^{5} +(1.64400 - 2.26278i) q^{6} +(-0.853423 + 2.50433i) q^{7} +(-0.453990 + 0.891007i) q^{8} +(1.96165 - 4.40594i) q^{9} +O(q^{10})\) \(q+(-0.933580 + 0.358368i) q^{2} +(-2.34572 + 1.52333i) q^{3} +(0.743145 - 0.669131i) q^{4} +(2.10146 + 0.764123i) q^{5} +(1.64400 - 2.26278i) q^{6} +(-0.853423 + 2.50433i) q^{7} +(-0.453990 + 0.891007i) q^{8} +(1.96165 - 4.40594i) q^{9} +(-2.23572 + 0.0397239i) q^{10} +(1.11516 + 3.12353i) q^{11} +(-0.723903 + 2.70164i) q^{12} +(0.0406102 - 0.256402i) q^{13} +(-0.100733 - 2.64383i) q^{14} +(-6.09343 + 1.40879i) q^{15} +(0.104528 - 0.994522i) q^{16} +(6.90848 + 2.65192i) q^{17} +(-0.252411 + 4.81629i) q^{18} +(0.602747 - 0.669419i) q^{19} +(2.07298 - 0.838294i) q^{20} +(-1.81302 - 7.17449i) q^{21} +(-2.16047 - 2.51642i) q^{22} +(-1.04462 + 3.89858i) q^{23} +(-0.292360 - 2.78162i) q^{24} +(3.83223 + 3.21154i) q^{25} +(0.0539736 + 0.253926i) q^{26} +(0.797590 + 5.03578i) q^{27} +(1.04151 + 2.43213i) q^{28} +(2.50619 + 0.814310i) q^{29} +(5.18384 - 3.49890i) q^{30} +(6.33284 - 0.665608i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-7.37400 - 5.62815i) q^{33} -7.39998 q^{34} +(-3.70705 + 4.61062i) q^{35} +(-1.49036 - 4.58685i) q^{36} +(-1.24637 + 1.91924i) q^{37} +(-0.322815 + 0.840962i) q^{38} +(0.295324 + 0.663310i) q^{39} +(-1.63488 + 1.52551i) q^{40} +(-0.912342 + 0.296438i) q^{41} +(4.26371 + 6.04823i) q^{42} +(0.665874 + 0.665874i) q^{43} +(2.91877 + 1.57504i) q^{44} +(7.48900 - 7.75994i) q^{45} +(-0.421888 - 4.01399i) q^{46} +(-8.19848 + 0.429664i) q^{47} +(1.26979 + 2.49210i) q^{48} +(-5.54334 - 4.27450i) q^{49} +(-4.72861 - 1.62488i) q^{50} +(-20.2450 + 4.30322i) q^{51} +(-0.141387 - 0.217718i) q^{52} +(1.34130 - 1.65637i) q^{53} +(-2.54928 - 4.41548i) q^{54} +(-0.0432939 + 7.41607i) q^{55} +(-1.84393 - 1.89735i) q^{56} +(-0.394131 + 2.48845i) q^{57} +(-2.63155 + 0.137914i) q^{58} +(-9.88199 - 10.9751i) q^{59} +(-3.58564 + 5.12423i) q^{60} +(-5.57797 - 0.586268i) q^{61} +(-5.67368 + 2.89089i) q^{62} +(9.35981 + 8.67275i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(0.281263 - 0.507787i) q^{65} +(8.90117 + 2.61172i) q^{66} +(2.04102 + 7.61719i) q^{67} +(6.90848 - 2.65192i) q^{68} +(-3.48842 - 10.7363i) q^{69} +(1.80853 - 5.63287i) q^{70} +(-3.07141 - 2.23151i) q^{71} +(3.03515 + 3.74810i) q^{72} +(-9.92760 - 0.520283i) q^{73} +(0.475791 - 2.23842i) q^{74} +(-13.8815 - 1.69563i) q^{75} -0.900792i q^{76} +(-8.77404 + 0.127048i) q^{77} +(-0.513418 - 0.513418i) q^{78} +(-6.60452 + 14.8340i) q^{79} +(0.979599 - 2.01007i) q^{80} +(0.139399 + 0.154818i) q^{81} +(0.745511 - 0.603703i) q^{82} +(6.84123 - 1.08354i) q^{83} +(-6.14801 - 4.11853i) q^{84} +(12.4915 + 10.8518i) q^{85} +(-0.860275 - 0.383019i) q^{86} +(-7.11926 + 1.90760i) q^{87} +(-3.28935 - 0.424434i) q^{88} +(0.439881 + 0.761896i) q^{89} +(-4.21067 + 9.92835i) q^{90} +(0.607459 + 0.320521i) q^{91} +(1.83235 + 3.59620i) q^{92} +(-13.8411 + 11.2083i) q^{93} +(7.49997 - 3.33920i) q^{94} +(1.77817 - 0.946181i) q^{95} +(-2.07854 - 1.87152i) q^{96} +(-17.1741 - 2.72011i) q^{97} +(6.70700 + 2.00404i) q^{98} +(15.9496 + 1.21393i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q + 24 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 768 q + 24 q^{5} + 4 q^{7} + 24 q^{10} + 12 q^{11} - 24 q^{15} - 96 q^{16} + 8 q^{22} + 8 q^{23} + 16 q^{25} - 24 q^{26} - 28 q^{28} - 16 q^{30} + 252 q^{33} - 40 q^{35} + 160 q^{36} - 8 q^{37} - 44 q^{42} + 80 q^{43} + 96 q^{45} - 8 q^{46} - 24 q^{47} + 64 q^{50} - 8 q^{51} + 40 q^{53} + 16 q^{56} + 64 q^{57} - 48 q^{58} - 164 q^{63} - 88 q^{65} + 32 q^{67} - 100 q^{70} + 32 q^{71} + 120 q^{73} - 336 q^{75} - 96 q^{77} - 36 q^{80} - 24 q^{81} + 48 q^{82} - 112 q^{85} - 24 q^{87} + 4 q^{88} - 12 q^{91} - 16 q^{92} - 88 q^{93} - 44 q^{95} + 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.933580 + 0.358368i −0.660141 + 0.253404i
\(3\) −2.34572 + 1.52333i −1.35430 + 0.879492i −0.998483 0.0550635i \(-0.982464\pi\)
−0.355817 + 0.934556i \(0.615797\pi\)
\(4\) 0.743145 0.669131i 0.371572 0.334565i
\(5\) 2.10146 + 0.764123i 0.939800 + 0.341726i
\(6\) 1.64400 2.26278i 0.671161 0.923774i
\(7\) −0.853423 + 2.50433i −0.322563 + 0.946548i
\(8\) −0.453990 + 0.891007i −0.160510 + 0.315018i
\(9\) 1.96165 4.40594i 0.653884 1.46865i
\(10\) −2.23572 + 0.0397239i −0.706995 + 0.0125618i
\(11\) 1.11516 + 3.12353i 0.336234 + 0.941778i
\(12\) −0.723903 + 2.70164i −0.208973 + 0.779897i
\(13\) 0.0406102 0.256402i 0.0112632 0.0711132i −0.981417 0.191890i \(-0.938538\pi\)
0.992680 + 0.120776i \(0.0385384\pi\)
\(14\) −0.100733 2.64383i −0.0269220 0.706594i
\(15\) −6.09343 + 1.40879i −1.57332 + 0.363747i
\(16\) 0.104528 0.994522i 0.0261321 0.248630i
\(17\) 6.90848 + 2.65192i 1.67555 + 0.643184i 0.995909 0.0903596i \(-0.0288016\pi\)
0.679642 + 0.733544i \(0.262135\pi\)
\(18\) −0.252411 + 4.81629i −0.0594939 + 1.13521i
\(19\) 0.602747 0.669419i 0.138280 0.153575i −0.670027 0.742337i \(-0.733718\pi\)
0.808307 + 0.588761i \(0.200384\pi\)
\(20\) 2.07298 0.838294i 0.463533 0.187448i
\(21\) −1.81302 7.17449i −0.395634 1.56560i
\(22\) −2.16047 2.51642i −0.460613 0.536503i
\(23\) −1.04462 + 3.89858i −0.217819 + 0.812910i 0.767337 + 0.641244i \(0.221581\pi\)
−0.985155 + 0.171665i \(0.945085\pi\)
\(24\) −0.292360 2.78162i −0.0596778 0.567796i
\(25\) 3.83223 + 3.21154i 0.766446 + 0.642308i
\(26\) 0.0539736 + 0.253926i 0.0105851 + 0.0497989i
\(27\) 0.797590 + 5.03578i 0.153496 + 0.969137i
\(28\) 1.04151 + 2.43213i 0.196826 + 0.459630i
\(29\) 2.50619 + 0.814310i 0.465388 + 0.151214i 0.532319 0.846544i \(-0.321321\pi\)
−0.0669312 + 0.997758i \(0.521321\pi\)
\(30\) 5.18384 3.49890i 0.946435 0.638809i
\(31\) 6.33284 0.665608i 1.13741 0.119547i 0.482954 0.875646i \(-0.339564\pi\)
0.654458 + 0.756099i \(0.272897\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) −7.37400 5.62815i −1.28365 0.979735i
\(34\) −7.39998 −1.26909
\(35\) −3.70705 + 4.61062i −0.626605 + 0.779337i
\(36\) −1.49036 4.58685i −0.248393 0.764475i
\(37\) −1.24637 + 1.91924i −0.204901 + 0.315521i −0.926150 0.377156i \(-0.876902\pi\)
0.721248 + 0.692677i \(0.243569\pi\)
\(38\) −0.322815 + 0.840962i −0.0523675 + 0.136422i
\(39\) 0.295324 + 0.663310i 0.0472898 + 0.106215i
\(40\) −1.63488 + 1.52551i −0.258497 + 0.241204i
\(41\) −0.912342 + 0.296438i −0.142484 + 0.0462958i −0.379391 0.925237i \(-0.623866\pi\)
0.236907 + 0.971532i \(0.423866\pi\)
\(42\) 4.26371 + 6.04823i 0.657905 + 0.933262i
\(43\) 0.665874 + 0.665874i 0.101545 + 0.101545i 0.756054 0.654509i \(-0.227125\pi\)
−0.654509 + 0.756054i \(0.727125\pi\)
\(44\) 2.91877 + 1.57504i 0.440022 + 0.237447i
\(45\) 7.48900 7.75994i 1.11639 1.15678i
\(46\) −0.421888 4.01399i −0.0622040 0.591831i
\(47\) −8.19848 + 0.429664i −1.19587 + 0.0626730i −0.639853 0.768497i \(-0.721005\pi\)
−0.556018 + 0.831170i \(0.687672\pi\)
\(48\) 1.26979 + 2.49210i 0.183278 + 0.359703i
\(49\) −5.54334 4.27450i −0.791906 0.610643i
\(50\) −4.72861 1.62488i −0.668726 0.229793i
\(51\) −20.2450 + 4.30322i −2.83487 + 0.602571i
\(52\) −0.141387 0.217718i −0.0196069 0.0301920i
\(53\) 1.34130 1.65637i 0.184242 0.227520i −0.676654 0.736301i \(-0.736571\pi\)
0.860896 + 0.508782i \(0.169904\pi\)
\(54\) −2.54928 4.41548i −0.346913 0.600870i
\(55\) −0.0432939 + 7.41607i −0.00583775 + 0.999983i
\(56\) −1.84393 1.89735i −0.246405 0.253544i
\(57\) −0.394131 + 2.48845i −0.0522040 + 0.329603i
\(58\) −2.63155 + 0.137914i −0.345540 + 0.0181090i
\(59\) −9.88199 10.9751i −1.28653 1.42883i −0.847895 0.530164i \(-0.822131\pi\)
−0.438630 0.898668i \(-0.644536\pi\)
\(60\) −3.58564 + 5.12423i −0.462904 + 0.661535i
\(61\) −5.57797 0.586268i −0.714186 0.0750640i −0.259535 0.965734i \(-0.583569\pi\)
−0.454651 + 0.890670i \(0.650236\pi\)
\(62\) −5.67368 + 2.89089i −0.720559 + 0.367143i
\(63\) 9.35981 + 8.67275i 1.17923 + 1.09266i
\(64\) −0.587785 0.809017i −0.0734732 0.101127i
\(65\) 0.281263 0.507787i 0.0348864 0.0629832i
\(66\) 8.90117 + 2.61172i 1.09566 + 0.321481i
\(67\) 2.04102 + 7.61719i 0.249350 + 0.930588i 0.971147 + 0.238483i \(0.0766500\pi\)
−0.721796 + 0.692105i \(0.756683\pi\)
\(68\) 6.90848 2.65192i 0.837776 0.321592i
\(69\) −3.48842 10.7363i −0.419956 1.29249i
\(70\) 1.80853 5.63287i 0.216160 0.673257i
\(71\) −3.07141 2.23151i −0.364509 0.264832i 0.390421 0.920636i \(-0.372329\pi\)
−0.754930 + 0.655805i \(0.772329\pi\)
\(72\) 3.03515 + 3.74810i 0.357696 + 0.441718i
\(73\) −9.92760 0.520283i −1.16194 0.0608946i −0.538401 0.842689i \(-0.680971\pi\)
−0.623537 + 0.781794i \(0.714305\pi\)
\(74\) 0.475791 2.23842i 0.0553096 0.260211i
\(75\) −13.8815 1.69563i −1.60290 0.195794i
\(76\) 0.900792i 0.103328i
\(77\) −8.77404 + 0.127048i −0.999895 + 0.0144784i
\(78\) −0.513418 0.513418i −0.0581331 0.0581331i
\(79\) −6.60452 + 14.8340i −0.743067 + 1.66895i 0.000236421 1.00000i \(0.499925\pi\)
−0.743303 + 0.668955i \(0.766742\pi\)
\(80\) 0.979599 2.01007i 0.109523 0.224733i
\(81\) 0.139399 + 0.154818i 0.0154888 + 0.0172020i
\(82\) 0.745511 0.603703i 0.0823279 0.0666678i
\(83\) 6.84123 1.08354i 0.750923 0.118934i 0.230771 0.973008i \(-0.425875\pi\)
0.520152 + 0.854074i \(0.325875\pi\)
\(84\) −6.14801 4.11853i −0.670803 0.449369i
\(85\) 12.4915 + 10.8518i 1.35489 + 1.17704i
\(86\) −0.860275 0.383019i −0.0927658 0.0413020i
\(87\) −7.11926 + 1.90760i −0.763265 + 0.204516i
\(88\) −3.28935 0.424434i −0.350646 0.0452448i
\(89\) 0.439881 + 0.761896i 0.0466273 + 0.0807609i 0.888397 0.459076i \(-0.151819\pi\)
−0.841770 + 0.539837i \(0.818486\pi\)
\(90\) −4.21067 + 9.92835i −0.443844 + 1.04654i
\(91\) 0.607459 + 0.320521i 0.0636790 + 0.0335997i
\(92\) 1.83235 + 3.59620i 0.191036 + 0.374929i
\(93\) −13.8411 + 11.2083i −1.43526 + 1.16225i
\(94\) 7.49997 3.33920i 0.773562 0.344412i
\(95\) 1.77817 0.946181i 0.182436 0.0970761i
\(96\) −2.07854 1.87152i −0.212140 0.191011i
\(97\) −17.1741 2.72011i −1.74377 0.276185i −0.798384 0.602149i \(-0.794311\pi\)
−0.945382 + 0.325963i \(0.894311\pi\)
\(98\) 6.70700 + 2.00404i 0.677509 + 0.202438i
\(99\) 15.9496 + 1.21393i 1.60300 + 0.122004i
\(100\) 4.99684 0.177623i 0.499684 0.0177623i
\(101\) 9.13186 0.959797i 0.908654 0.0955034i 0.361343 0.932433i \(-0.382318\pi\)
0.547311 + 0.836929i \(0.315652\pi\)
\(102\) 17.3582 11.2726i 1.71872 1.11615i
\(103\) 3.12402 4.81058i 0.307819 0.474000i −0.650577 0.759440i \(-0.725473\pi\)
0.958397 + 0.285440i \(0.0921397\pi\)
\(104\) 0.210020 + 0.152588i 0.0205941 + 0.0149625i
\(105\) 1.67220 16.4622i 0.163190 1.60655i
\(106\) −0.658623 + 2.02703i −0.0639711 + 0.196883i
\(107\) −0.973777 18.5808i −0.0941386 1.79627i −0.483662 0.875255i \(-0.660694\pi\)
0.389523 0.921017i \(-0.372640\pi\)
\(108\) 3.96232 + 3.20862i 0.381274 + 0.308750i
\(109\) 9.33202 + 5.38785i 0.893846 + 0.516062i 0.875198 0.483764i \(-0.160731\pi\)
0.0186472 + 0.999826i \(0.494064\pi\)
\(110\) −2.61726 6.93901i −0.249546 0.661609i
\(111\) 6.40061i 0.607519i
\(112\) 2.40140 + 1.11052i 0.226911 + 0.104934i
\(113\) 5.05734 9.92558i 0.475754 0.933720i −0.521026 0.853541i \(-0.674451\pi\)
0.996780 0.0801796i \(-0.0255494\pi\)
\(114\) −0.523826 2.46441i −0.0490608 0.230813i
\(115\) −5.17422 + 7.39447i −0.482498 + 0.689538i
\(116\) 2.40734 1.07182i 0.223516 0.0995157i
\(117\) −1.05003 0.681898i −0.0970754 0.0630415i
\(118\) 13.1587 + 6.70471i 1.21136 + 0.617219i
\(119\) −12.5371 + 15.0379i −1.14928 + 1.37852i
\(120\) 1.51112 6.06886i 0.137946 0.554008i
\(121\) −8.51283 + 6.96648i −0.773893 + 0.633316i
\(122\) 5.41758 1.45164i 0.490485 0.131425i
\(123\) 1.68852 2.08515i 0.152249 0.188012i
\(124\) 4.26084 4.73214i 0.382635 0.424959i
\(125\) 5.59925 + 9.67721i 0.500812 + 0.865556i
\(126\) −11.8462 4.74245i −1.05534 0.422491i
\(127\) −0.0691378 + 0.0109504i −0.00613499 + 0.000971687i −0.159501 0.987198i \(-0.550989\pi\)
0.153366 + 0.988169i \(0.450989\pi\)
\(128\) 0.838671 + 0.544639i 0.0741287 + 0.0481397i
\(129\) −2.57629 0.547608i −0.226830 0.0482142i
\(130\) −0.0806074 + 0.574856i −0.00706974 + 0.0504182i
\(131\) 18.0158 10.4014i 1.57404 0.908775i 0.578379 0.815768i \(-0.303685\pi\)
0.995665 0.0930069i \(-0.0296479\pi\)
\(132\) −9.24592 + 0.751641i −0.804754 + 0.0654219i
\(133\) 1.16205 + 2.08078i 0.100762 + 0.180426i
\(134\) −4.63521 6.37983i −0.400422 0.551133i
\(135\) −2.17186 + 11.1919i −0.186924 + 0.963248i
\(136\) −5.49926 + 4.95155i −0.471557 + 0.424592i
\(137\) −3.00953 + 7.84010i −0.257122 + 0.669825i 0.742878 + 0.669427i \(0.233460\pi\)
−1.00000 0.000398242i \(0.999873\pi\)
\(138\) 7.10425 + 8.77302i 0.604754 + 0.746809i
\(139\) −3.82689 + 11.7780i −0.324593 + 0.998994i 0.647031 + 0.762463i \(0.276010\pi\)
−0.971624 + 0.236530i \(0.923990\pi\)
\(140\) 0.330234 + 5.90686i 0.0279098 + 0.499220i
\(141\) 18.5768 13.4968i 1.56445 1.13664i
\(142\) 3.66711 + 0.982599i 0.307737 + 0.0824579i
\(143\) 0.846166 0.159084i 0.0707600 0.0133032i
\(144\) −4.17675 2.41145i −0.348063 0.200954i
\(145\) 4.64441 + 3.62627i 0.385697 + 0.301146i
\(146\) 9.45466 3.07201i 0.782474 0.254241i
\(147\) 19.5146 + 1.58246i 1.60953 + 0.130519i
\(148\) 0.357989 + 2.26025i 0.0294265 + 0.185792i
\(149\) −6.07454 0.638460i −0.497646 0.0523047i −0.147619 0.989044i \(-0.547161\pi\)
−0.350027 + 0.936740i \(0.613828\pi\)
\(150\) 13.5672 3.39170i 1.10776 0.276931i
\(151\) 22.7128 + 4.82775i 1.84834 + 0.392876i 0.992282 0.124006i \(-0.0395740\pi\)
0.856057 + 0.516882i \(0.172907\pi\)
\(152\) 0.322815 + 0.840962i 0.0261838 + 0.0682110i
\(153\) 25.2362 25.2362i 2.04023 2.04023i
\(154\) 8.14575 3.26295i 0.656403 0.262936i
\(155\) 13.8168 + 3.44032i 1.10979 + 0.276333i
\(156\) 0.663310 + 0.295324i 0.0531073 + 0.0236449i
\(157\) 0.485707 + 0.747923i 0.0387636 + 0.0596908i 0.857521 0.514449i \(-0.172003\pi\)
−0.818758 + 0.574139i \(0.805337\pi\)
\(158\) 0.849822 16.2156i 0.0676082 1.29004i
\(159\) −0.623122 + 5.92861i −0.0494168 + 0.470169i
\(160\) −0.194190 + 2.22762i −0.0153520 + 0.176109i
\(161\) −8.87182 5.94321i −0.699198 0.468391i
\(162\) −0.185622 0.0945791i −0.0145838 0.00743084i
\(163\) −3.48433 9.07698i −0.272913 0.710964i −0.999709 0.0241103i \(-0.992325\pi\)
0.726796 0.686854i \(-0.241009\pi\)
\(164\) −0.479647 + 0.830772i −0.0374541 + 0.0648724i
\(165\) −11.1955 17.4619i −0.871571 1.35941i
\(166\) −5.99853 + 3.46325i −0.465576 + 0.268801i
\(167\) 21.6269 + 3.42537i 1.67354 + 0.265063i 0.919880 0.392200i \(-0.128286\pi\)
0.753661 + 0.657263i \(0.228286\pi\)
\(168\) 7.21561 + 1.64173i 0.556696 + 0.126662i
\(169\) 12.2996 + 3.99640i 0.946126 + 0.307415i
\(170\) −15.5507 5.65450i −1.19269 0.433680i
\(171\) −1.76704 3.96883i −0.135129 0.303504i
\(172\) 0.940397 + 0.0492841i 0.0717046 + 0.00375788i
\(173\) −0.999671 19.0749i −0.0760036 1.45024i −0.724635 0.689133i \(-0.757992\pi\)
0.648632 0.761103i \(-0.275342\pi\)
\(174\) 5.96278 4.33222i 0.452037 0.328424i
\(175\) −11.3133 + 6.85637i −0.855203 + 0.518293i
\(176\) 3.22298 0.782556i 0.242941 0.0589874i
\(177\) 39.8989 + 10.6909i 2.99899 + 0.803576i
\(178\) −0.683704 0.553652i −0.0512458 0.0414980i
\(179\) −1.60195 + 7.53657i −0.119735 + 0.563309i 0.876852 + 0.480761i \(0.159639\pi\)
−0.996587 + 0.0825488i \(0.973694\pi\)
\(180\) 0.372997 10.7779i 0.0278016 0.803336i
\(181\) 3.40864 4.69160i 0.253363 0.348724i −0.663323 0.748333i \(-0.730854\pi\)
0.916685 + 0.399610i \(0.130854\pi\)
\(182\) −0.681976 0.0815383i −0.0505514 0.00604402i
\(183\) 13.9774 7.12185i 1.03324 0.526462i
\(184\) −2.99941 2.70068i −0.221119 0.199097i
\(185\) −4.08572 + 3.08081i −0.300388 + 0.226506i
\(186\) 8.90509 15.4241i 0.652953 1.13095i
\(187\) −0.579253 + 24.5361i −0.0423592 + 1.79426i
\(188\) −5.80516 + 5.80516i −0.423385 + 0.423385i
\(189\) −13.2919 2.30022i −0.966847 0.167317i
\(190\) −1.32098 + 1.52057i −0.0958339 + 0.110314i
\(191\) −10.8617 + 2.30873i −0.785926 + 0.167054i −0.583359 0.812215i \(-0.698262\pi\)
−0.202567 + 0.979268i \(0.564928\pi\)
\(192\) 2.61117 + 1.00234i 0.188445 + 0.0723373i
\(193\) −13.8070 5.30003i −0.993853 0.381504i −0.193544 0.981092i \(-0.561998\pi\)
−0.800309 + 0.599587i \(0.795331\pi\)
\(194\) 17.0082 3.61521i 1.22112 0.259557i
\(195\) 0.113761 + 1.61958i 0.00814660 + 0.115981i
\(196\) −6.97971 + 0.532643i −0.498550 + 0.0380459i
\(197\) −8.92222 + 8.92222i −0.635682 + 0.635682i −0.949487 0.313806i \(-0.898396\pi\)
0.313806 + 0.949487i \(0.398396\pi\)
\(198\) −15.3253 + 4.58253i −1.08912 + 0.325667i
\(199\) −7.31388 + 12.6680i −0.518467 + 0.898011i 0.481303 + 0.876555i \(0.340164\pi\)
−0.999770 + 0.0214570i \(0.993170\pi\)
\(200\) −4.60130 + 1.95653i −0.325361 + 0.138348i
\(201\) −16.3911 14.7586i −1.15614 1.04099i
\(202\) −8.18137 + 4.16861i −0.575639 + 0.293303i
\(203\) −4.17814 + 5.58137i −0.293248 + 0.391736i
\(204\) −12.1656 + 16.7445i −0.851762 + 1.17235i
\(205\) −2.14376 0.0741906i −0.149727 0.00518170i
\(206\) −1.19257 + 5.61061i −0.0830904 + 0.390910i
\(207\) 15.1277 + 12.2502i 1.05145 + 0.851447i
\(208\) −0.250753 0.0671890i −0.0173866 0.00465872i
\(209\) 2.76311 + 1.13619i 0.191128 + 0.0785917i
\(210\) 4.33840 + 15.9681i 0.299378 + 1.10190i
\(211\) 4.31447 3.13465i 0.297020 0.215798i −0.429287 0.903168i \(-0.641235\pi\)
0.726307 + 0.687370i \(0.241235\pi\)
\(212\) −0.111546 2.12843i −0.00766103 0.146181i
\(213\) 10.6040 + 0.555731i 0.726572 + 0.0380780i
\(214\) 7.56785 + 16.9977i 0.517328 + 1.16194i
\(215\) 0.890495 + 1.90811i 0.0607312 + 0.130132i
\(216\) −4.84901 1.57554i −0.329934 0.107202i
\(217\) −3.73769 + 16.4276i −0.253731 + 1.11518i
\(218\) −10.6430 1.68569i −0.720837 0.114169i
\(219\) 24.0799 13.9025i 1.62717 0.939446i
\(220\) 4.93015 + 5.54018i 0.332390 + 0.373519i
\(221\) 0.960512 1.66366i 0.0646110 0.111910i
\(222\) 2.29377 + 5.97548i 0.153948 + 0.401048i
\(223\) −15.0546 7.67071i −1.00813 0.513669i −0.129708 0.991552i \(-0.541404\pi\)
−0.878423 + 0.477884i \(0.841404\pi\)
\(224\) −2.63988 0.176175i −0.176384 0.0117712i
\(225\) 21.6674 10.5847i 1.44449 0.705644i
\(226\) −1.16442 + 11.0787i −0.0774561 + 0.736945i
\(227\) 0.632194 12.0630i 0.0419602 0.800648i −0.893898 0.448271i \(-0.852040\pi\)
0.935858 0.352377i \(-0.114627\pi\)
\(228\) 1.37220 + 2.11300i 0.0908761 + 0.139937i
\(229\) −16.8687 7.51041i −1.11471 0.496302i −0.235090 0.971974i \(-0.575538\pi\)
−0.879623 + 0.475672i \(0.842205\pi\)
\(230\) 2.18061 8.75761i 0.143785 0.577459i
\(231\) 20.3879 13.6637i 1.34142 0.899008i
\(232\) −1.86334 + 1.86334i −0.122334 + 0.122334i
\(233\) 9.23460 + 24.0570i 0.604979 + 1.57602i 0.803099 + 0.595846i \(0.203183\pi\)
−0.198120 + 0.980178i \(0.563484\pi\)
\(234\) 1.22466 + 0.260309i 0.0800584 + 0.0170169i
\(235\) −17.5571 5.36173i −1.14530 0.349761i
\(236\) −14.6875 1.54372i −0.956075 0.100488i
\(237\) −7.10468 44.8572i −0.461498 2.91379i
\(238\) 6.31531 18.5320i 0.409361 1.20125i
\(239\) −13.8064 + 4.48599i −0.893065 + 0.290174i −0.719372 0.694625i \(-0.755570\pi\)
−0.173693 + 0.984800i \(0.555570\pi\)
\(240\) 0.764131 + 6.20730i 0.0493245 + 0.400680i
\(241\) 3.85655 + 2.22658i 0.248422 + 0.143427i 0.619042 0.785358i \(-0.287521\pi\)
−0.370619 + 0.928785i \(0.620855\pi\)
\(242\) 5.45084 9.55449i 0.350394 0.614186i
\(243\) −15.3373 4.10962i −0.983888 0.263632i
\(244\) −4.53753 + 3.29671i −0.290486 + 0.211050i
\(245\) −8.38283 13.2185i −0.535560 0.844497i
\(246\) −0.829121 + 2.55177i −0.0528628 + 0.162695i
\(247\) −0.147163 0.181731i −0.00936376 0.0115633i
\(248\) −2.28199 + 5.94478i −0.144906 + 0.377494i
\(249\) −14.3970 + 12.9631i −0.912372 + 0.821504i
\(250\) −8.69535 7.02786i −0.549942 0.444481i
\(251\) 1.13528 + 1.56258i 0.0716583 + 0.0986291i 0.843342 0.537378i \(-0.180585\pi\)
−0.771683 + 0.636007i \(0.780585\pi\)
\(252\) 12.7589 + 0.182173i 0.803735 + 0.0114758i
\(253\) −13.3422 + 1.08465i −0.838819 + 0.0681912i
\(254\) 0.0606215 0.0349998i 0.00380373 0.00219608i
\(255\) −45.8323 6.42669i −2.87013 0.402455i
\(256\) −0.978148 0.207912i −0.0611342 0.0129945i
\(257\) −10.9652 7.12089i −0.683991 0.444189i 0.155303 0.987867i \(-0.450365\pi\)
−0.839294 + 0.543678i \(0.817031\pi\)
\(258\) 2.60142 0.412025i 0.161957 0.0256515i
\(259\) −3.74273 4.75923i −0.232562 0.295724i
\(260\) −0.130756 0.565561i −0.00810917 0.0350746i
\(261\) 8.50407 9.44472i 0.526389 0.584614i
\(262\) −13.0916 + 16.1668i −0.808804 + 0.998790i
\(263\) 15.7573 4.22216i 0.971637 0.260349i 0.262118 0.965036i \(-0.415579\pi\)
0.709519 + 0.704686i \(0.248912\pi\)
\(264\) 8.36244 4.01516i 0.514673 0.247116i
\(265\) 4.08436 2.45587i 0.250900 0.150863i
\(266\) −1.83055 1.52613i −0.112238 0.0935731i
\(267\) −2.19245 1.11711i −0.134176 0.0683660i
\(268\) 6.61367 + 4.29497i 0.403994 + 0.262357i
\(269\) 12.1632 5.41541i 0.741604 0.330183i −0.000922920 1.00000i \(-0.500294\pi\)
0.742527 + 0.669816i \(0.233627\pi\)
\(270\) −1.98322 11.2269i −0.120695 0.683247i
\(271\) 0.370506 + 1.74309i 0.0225066 + 0.105885i 0.987967 0.154664i \(-0.0494296\pi\)
−0.965460 + 0.260550i \(0.916096\pi\)
\(272\) 3.35952 6.59343i 0.203701 0.399785i
\(273\) −1.91318 + 0.173507i −0.115791 + 0.0105011i
\(274\) 8.39788i 0.507335i
\(275\) −5.75777 + 15.5515i −0.347207 + 0.937789i
\(276\) −9.77636 5.64438i −0.588467 0.339752i
\(277\) 1.48665 + 1.20387i 0.0893241 + 0.0723332i 0.672942 0.739695i \(-0.265030\pi\)
−0.583618 + 0.812028i \(0.698364\pi\)
\(278\) −0.648133 12.3671i −0.0388724 0.741730i
\(279\) 9.49019 29.2078i 0.568163 1.74863i
\(280\) −2.42513 5.39618i −0.144929 0.322483i
\(281\) 3.96011 + 2.87719i 0.236241 + 0.171639i 0.699607 0.714528i \(-0.253359\pi\)
−0.463366 + 0.886167i \(0.653359\pi\)
\(282\) −12.5061 + 19.2577i −0.744727 + 1.14678i
\(283\) 14.0577 9.12919i 0.835645 0.542674i −0.0544147 0.998518i \(-0.517329\pi\)
0.890060 + 0.455844i \(0.150663\pi\)
\(284\) −3.77567 + 0.396839i −0.224045 + 0.0235481i
\(285\) −2.72973 + 4.92820i −0.161695 + 0.291921i
\(286\) −0.732954 + 0.451756i −0.0433405 + 0.0267129i
\(287\) 0.0362349 2.53779i 0.00213888 0.149801i
\(288\) 4.76352 + 0.754468i 0.280693 + 0.0444575i
\(289\) 28.0609 + 25.2662i 1.65064 + 1.48625i
\(290\) −5.63547 1.72101i −0.330926 0.101061i
\(291\) 44.4292 19.7811i 2.60448 1.15959i
\(292\) −7.72578 + 6.25621i −0.452117 + 0.366117i
\(293\) 7.43004 + 14.5823i 0.434068 + 0.851906i 0.999630 + 0.0272003i \(0.00865919\pi\)
−0.565562 + 0.824706i \(0.691341\pi\)
\(294\) −18.7855 + 5.51604i −1.09559 + 0.321702i
\(295\) −12.3803 30.6147i −0.720807 1.78245i
\(296\) −1.14421 1.98184i −0.0665061 0.115192i
\(297\) −14.8400 + 8.10701i −0.861101 + 0.470416i
\(298\) 5.89988 1.58087i 0.341771 0.0915772i
\(299\) 0.957183 + 0.426165i 0.0553553 + 0.0246458i
\(300\) −11.4506 + 8.02847i −0.661101 + 0.463524i
\(301\) −2.23584 + 1.09930i −0.128872 + 0.0633624i
\(302\) −22.9343 + 3.63244i −1.31972 + 0.209023i
\(303\) −19.9587 + 16.1622i −1.14660 + 0.928495i
\(304\) −0.602747 0.669419i −0.0345699 0.0383938i
\(305\) −11.2739 5.49427i −0.645540 0.314601i
\(306\) −14.5162 + 32.6039i −0.829834 + 1.86384i
\(307\) 6.37837 + 6.37837i 0.364033 + 0.364033i 0.865295 0.501263i \(-0.167131\pi\)
−0.501263 + 0.865295i \(0.667131\pi\)
\(308\) −6.43537 + 5.96540i −0.366689 + 0.339910i
\(309\) 16.0431i 0.912663i
\(310\) −14.1320 + 1.73968i −0.802643 + 0.0988070i
\(311\) 7.16444 33.7061i 0.406258 1.91130i −0.00546214 0.999985i \(-0.501739\pi\)
0.411720 0.911310i \(-0.364928\pi\)
\(312\) −0.725088 0.0380002i −0.0410500 0.00215134i
\(313\) 11.0822 + 13.6854i 0.626405 + 0.773546i 0.987267 0.159073i \(-0.0508506\pi\)
−0.360861 + 0.932619i \(0.617517\pi\)
\(314\) −0.721478 0.524185i −0.0407154 0.0295815i
\(315\) 13.0422 + 25.3774i 0.734843 + 1.42986i
\(316\) 5.01777 + 15.4431i 0.282271 + 0.868742i
\(317\) 5.63817 2.16429i 0.316671 0.121559i −0.194841 0.980835i \(-0.562419\pi\)
0.511512 + 0.859276i \(0.329086\pi\)
\(318\) −1.54289 5.75814i −0.0865210 0.322901i
\(319\) 0.251289 + 8.73623i 0.0140695 + 0.489135i
\(320\) −0.617016 2.14925i −0.0344922 0.120147i
\(321\) 30.5888 + 42.1018i 1.70730 + 2.34990i
\(322\) 10.4124 + 2.36909i 0.580261 + 0.132024i
\(323\) 5.93931 3.02623i 0.330472 0.168384i
\(324\) 0.207187 + 0.0217763i 0.0115104 + 0.00120979i
\(325\) 0.979075 0.852172i 0.0543093 0.0472700i
\(326\) 6.50580 + 7.22542i 0.360323 + 0.400179i
\(327\) −30.0977 + 1.57735i −1.66441 + 0.0872279i
\(328\) 0.150067 0.947483i 0.00828604 0.0523160i
\(329\) 5.92075 20.8984i 0.326422 1.15217i
\(330\) 16.7097 + 12.2900i 0.919841 + 0.676543i
\(331\) 1.65589 + 2.86809i 0.0910162 + 0.157645i 0.907939 0.419102i \(-0.137655\pi\)
−0.816923 + 0.576747i \(0.804322\pi\)
\(332\) 4.35899 5.38291i 0.239231 0.295425i
\(333\) 6.01111 + 9.25629i 0.329407 + 0.507242i
\(334\) −21.4180 + 4.55254i −1.17194 + 0.249104i
\(335\) −1.53136 + 17.5668i −0.0836671 + 0.959776i
\(336\) −7.32470 + 1.05315i −0.399595 + 0.0574542i
\(337\) 5.31638 + 10.4340i 0.289602 + 0.568375i 0.989271 0.146092i \(-0.0466694\pi\)
−0.699669 + 0.714467i \(0.746669\pi\)
\(338\) −12.9149 + 0.676840i −0.702477 + 0.0368153i
\(339\) 3.25682 + 30.9866i 0.176886 + 1.68296i
\(340\) 16.5442 0.293956i 0.897238 0.0159420i
\(341\) 9.14119 + 19.0385i 0.495023 + 1.03099i
\(342\) 3.07198 + 3.07198i 0.166113 + 0.166113i
\(343\) 15.4356 10.2344i 0.833443 0.552605i
\(344\) −0.895598 + 0.290998i −0.0482874 + 0.0156895i
\(345\) 0.873060 25.2273i 0.0470039 1.35819i
\(346\) 7.76909 + 17.4497i 0.417669 + 0.938100i
\(347\) 4.00357 10.4297i 0.214923 0.559893i −0.783158 0.621823i \(-0.786392\pi\)
0.998080 + 0.0619301i \(0.0197256\pi\)
\(348\) −4.01421 + 6.18134i −0.215184 + 0.331355i
\(349\) −3.48328 10.7204i −0.186456 0.573852i 0.813515 0.581545i \(-0.197551\pi\)
−0.999970 + 0.00769235i \(0.997551\pi\)
\(350\) 8.10475 10.4553i 0.433217 0.558859i
\(351\) 1.32358 0.0706473
\(352\) −2.72847 + 1.88559i −0.145428 + 0.100502i
\(353\) −4.32311 16.1341i −0.230096 0.858730i −0.980299 0.197522i \(-0.936711\pi\)
0.750203 0.661208i \(-0.229956\pi\)
\(354\) −41.0801 + 4.31770i −2.18338 + 0.229483i
\(355\) −4.74928 7.03636i −0.252066 0.373451i
\(356\) 0.836704 + 0.271861i 0.0443452 + 0.0144086i
\(357\) 6.50090 54.3728i 0.344064 2.87771i
\(358\) −1.20532 7.61008i −0.0637030 0.402205i
\(359\) 1.10114 + 5.18044i 0.0581157 + 0.273413i 0.997605 0.0691646i \(-0.0220334\pi\)
−0.939490 + 0.342578i \(0.888700\pi\)
\(360\) 3.51422 + 10.1957i 0.185216 + 0.537360i
\(361\) 1.90122 + 18.0889i 0.100064 + 0.952049i
\(362\) −1.50093 + 5.60153i −0.0788869 + 0.294410i
\(363\) 9.35645 29.3092i 0.491086 1.53833i
\(364\) 0.665900 0.168276i 0.0349027 0.00882005i
\(365\) −20.4648 8.67926i −1.07118 0.454293i
\(366\) −10.4968 + 11.6579i −0.548676 + 0.609367i
\(367\) −1.36534 + 26.0522i −0.0712701 + 1.35991i 0.695747 + 0.718287i \(0.255074\pi\)
−0.767017 + 0.641627i \(0.778260\pi\)
\(368\) 3.76803 + 1.44641i 0.196422 + 0.0753994i
\(369\) −0.483609 + 4.60123i −0.0251757 + 0.239531i
\(370\) 2.71028 4.34038i 0.140901 0.225645i
\(371\) 3.00340 + 4.77265i 0.155929 + 0.247783i
\(372\) −2.78613 + 17.5909i −0.144454 + 0.912046i
\(373\) 3.95704 14.7679i 0.204888 0.764652i −0.784596 0.620007i \(-0.787130\pi\)
0.989484 0.144644i \(-0.0462038\pi\)
\(374\) −8.25218 23.1140i −0.426710 1.19520i
\(375\) −27.8758 14.1705i −1.43950 0.731761i
\(376\) 3.33920 7.49997i 0.172206 0.386781i
\(377\) 0.310568 0.609524i 0.0159951 0.0313921i
\(378\) 13.2334 2.61596i 0.680654 0.134551i
\(379\) 11.7296 16.1443i 0.602507 0.829279i −0.393428 0.919355i \(-0.628711\pi\)
0.995935 + 0.0900759i \(0.0287110\pi\)
\(380\) 0.688316 1.89297i 0.0353099 0.0971075i
\(381\) 0.145497 0.131006i 0.00745402 0.00671163i
\(382\) 9.31291 6.04787i 0.476490 0.309436i
\(383\) −4.10694 + 1.57651i −0.209855 + 0.0805558i −0.461025 0.887387i \(-0.652518\pi\)
0.251170 + 0.967943i \(0.419185\pi\)
\(384\) −2.79694 −0.142731
\(385\) −18.5353 6.43747i −0.944649 0.328084i
\(386\) 14.7893 0.752758
\(387\) 4.24001 1.62759i 0.215532 0.0827350i
\(388\) −14.5830 + 9.47028i −0.740338 + 0.480781i
\(389\) 13.0036 11.7085i 0.659307 0.593643i −0.270040 0.962849i \(-0.587037\pi\)
0.929348 + 0.369206i \(0.120370\pi\)
\(390\) −0.686611 1.47124i −0.0347679 0.0744991i
\(391\) −17.5554 + 24.1630i −0.887817 + 1.22197i
\(392\) 6.32523 2.99857i 0.319473 0.151451i
\(393\) −26.4151 + 51.8426i −1.33247 + 2.61511i
\(394\) 5.13217 11.5270i 0.258555 0.580724i
\(395\) −25.2141 + 26.1263i −1.26866 + 1.31456i
\(396\) 12.6652 9.77026i 0.636448 0.490974i
\(397\) 7.12923 26.6066i 0.357806 1.33535i −0.519111 0.854707i \(-0.673737\pi\)
0.876917 0.480642i \(-0.159596\pi\)
\(398\) 2.28829 14.4477i 0.114701 0.724196i
\(399\) −5.89553 3.11073i −0.295146 0.155731i
\(400\) 3.59453 3.47554i 0.179726 0.173777i
\(401\) 2.49308 23.7200i 0.124498 1.18452i −0.736688 0.676232i \(-0.763611\pi\)
0.861187 0.508289i \(-0.169722\pi\)
\(402\) 20.5914 + 7.90432i 1.02701 + 0.394231i
\(403\) 0.0865140 1.65079i 0.00430957 0.0822315i
\(404\) 6.14407 6.82368i 0.305679 0.339491i
\(405\) 0.174641 + 0.431862i 0.00867796 + 0.0214594i
\(406\) 1.90044 6.70797i 0.0943174 0.332911i
\(407\) −7.38469 1.75280i −0.366045 0.0868830i
\(408\) 5.35686 19.9921i 0.265204 0.989756i
\(409\) 1.43158 + 13.6205i 0.0707869 + 0.673492i 0.971169 + 0.238392i \(0.0766204\pi\)
−0.900382 + 0.435100i \(0.856713\pi\)
\(410\) 2.02796 0.698992i 0.100154 0.0345208i
\(411\) −4.88352 22.9751i −0.240886 1.13328i
\(412\) −0.897301 5.66533i −0.0442068 0.279111i
\(413\) 35.9187 15.3814i 1.76744 0.756869i
\(414\) −18.5130 6.01524i −0.909865 0.295633i
\(415\) 15.2045 + 2.95052i 0.746360 + 0.144835i
\(416\) 0.258176 0.0271354i 0.0126581 0.00133042i
\(417\) −8.96487 33.4574i −0.439012 1.63841i
\(418\) −2.98676 0.0705119i −0.146087 0.00344885i
\(419\) −24.8652 −1.21474 −0.607371 0.794418i \(-0.707776\pi\)
−0.607371 + 0.794418i \(0.707776\pi\)
\(420\) −9.77270 13.3527i −0.476859 0.651547i
\(421\) 11.2911 + 34.7505i 0.550295 + 1.69364i 0.708055 + 0.706158i \(0.249573\pi\)
−0.157759 + 0.987478i \(0.550427\pi\)
\(422\) −2.90455 + 4.47261i −0.141391 + 0.217723i
\(423\) −14.1895 + 36.9649i −0.689916 + 1.79729i
\(424\) 0.866898 + 1.94708i 0.0421003 + 0.0945588i
\(425\) 17.9581 + 32.3496i 0.871098 + 1.56919i
\(426\) −10.0988 + 3.28130i −0.489289 + 0.158980i
\(427\) 6.22858 13.4687i 0.301422 0.651798i
\(428\) −13.1566 13.1566i −0.635949 0.635949i
\(429\) −1.74253 + 1.66215i −0.0841301 + 0.0802494i
\(430\) −1.51516 1.46225i −0.0730673 0.0705161i
\(431\) −0.833272 7.92806i −0.0401373 0.381881i −0.996089 0.0883566i \(-0.971838\pi\)
0.955952 0.293524i \(-0.0948282\pi\)
\(432\) 5.09157 0.266838i 0.244968 0.0128382i
\(433\) 3.93114 + 7.71529i 0.188918 + 0.370773i 0.965966 0.258668i \(-0.0832837\pi\)
−0.777048 + 0.629442i \(0.783284\pi\)
\(434\) −2.39768 16.6759i −0.115093 0.800470i
\(435\) −16.4185 1.43126i −0.787205 0.0686235i
\(436\) 10.5402 2.24039i 0.504785 0.107295i
\(437\) 1.98014 + 3.04915i 0.0947229 + 0.145860i
\(438\) −17.4983 + 21.6086i −0.836100 + 1.03250i
\(439\) −2.85136 4.93870i −0.136088 0.235711i 0.789925 0.613204i \(-0.210120\pi\)
−0.926013 + 0.377493i \(0.876786\pi\)
\(440\) −6.58811 3.40540i −0.314076 0.162346i
\(441\) −29.7073 + 16.0385i −1.41463 + 0.763740i
\(442\) −0.300514 + 1.89737i −0.0142940 + 0.0902488i
\(443\) −21.7084 + 1.13769i −1.03140 + 0.0540533i −0.560517 0.828143i \(-0.689397\pi\)
−0.470882 + 0.882196i \(0.656064\pi\)
\(444\) −4.28284 4.75658i −0.203255 0.225737i
\(445\) 0.342208 + 1.93721i 0.0162222 + 0.0918328i
\(446\) 16.8036 + 1.76613i 0.795675 + 0.0836288i
\(447\) 15.2217 7.75586i 0.719963 0.366840i
\(448\) 2.52767 0.781575i 0.119421 0.0369259i
\(449\) −8.78234 12.0878i −0.414464 0.570461i 0.549836 0.835273i \(-0.314690\pi\)
−0.964300 + 0.264812i \(0.914690\pi\)
\(450\) −16.4350 + 17.6465i −0.774754 + 0.831865i
\(451\) −1.94334 2.51915i −0.0915084 0.118622i
\(452\) −2.88318 10.7602i −0.135613 0.506116i
\(453\) −60.6319 + 23.2744i −2.84874 + 1.09353i
\(454\) 3.73278 + 11.4883i 0.175188 + 0.539174i
\(455\) 1.03163 + 1.13773i 0.0483636 + 0.0533378i
\(456\) −2.03829 1.48090i −0.0954517 0.0693497i
\(457\) 22.0236 + 27.1969i 1.03022 + 1.27222i 0.961565 + 0.274577i \(0.0885380\pi\)
0.0686567 + 0.997640i \(0.478129\pi\)
\(458\) 18.4397 + 0.966386i 0.861633 + 0.0451563i
\(459\) −7.84434 + 36.9047i −0.366142 + 1.72256i
\(460\) 1.10267 + 8.95739i 0.0514124 + 0.417640i
\(461\) 13.4317i 0.625574i 0.949823 + 0.312787i \(0.101263\pi\)
−0.949823 + 0.312787i \(0.898737\pi\)
\(462\) −14.1371 + 20.0626i −0.657716 + 0.933395i
\(463\) −25.1056 25.1056i −1.16676 1.16676i −0.982965 0.183793i \(-0.941162\pi\)
−0.183793 0.982965i \(-0.558838\pi\)
\(464\) 1.07182 2.40734i 0.0497579 0.111758i
\(465\) −37.6510 + 12.9774i −1.74602 + 0.601815i
\(466\) −17.2425 19.1497i −0.798743 0.887094i
\(467\) −27.5422 + 22.3032i −1.27450 + 1.03207i −0.277037 + 0.960859i \(0.589353\pi\)
−0.997461 + 0.0712097i \(0.977314\pi\)
\(468\) −1.23660 + 0.195859i −0.0571620 + 0.00905357i
\(469\) −20.8178 1.38929i −0.961278 0.0641517i
\(470\) 18.3124 1.28628i 0.844688 0.0593318i
\(471\) −2.27866 1.01453i −0.104995 0.0467469i
\(472\) 14.2652 3.82234i 0.656608 0.175938i
\(473\) −1.33732 + 2.82243i −0.0614899 + 0.129776i
\(474\) 22.7082 + 39.3317i 1.04302 + 1.80656i
\(475\) 4.45973 0.629619i 0.204627 0.0288889i
\(476\) 0.745423 + 19.5643i 0.0341664 + 0.896729i
\(477\) −4.66670 9.15891i −0.213673 0.419358i
\(478\) 11.2818 9.13582i 0.516017 0.417863i
\(479\) 22.6477 10.0834i 1.03480 0.460722i 0.182185 0.983264i \(-0.441683\pi\)
0.852613 + 0.522542i \(0.175016\pi\)
\(480\) −2.93788 5.52118i −0.134095 0.252006i
\(481\) 0.441482 + 0.397512i 0.0201298 + 0.0181250i
\(482\) −4.39833 0.696627i −0.200339 0.0317305i
\(483\) 29.8642 + 0.426405i 1.35887 + 0.0194021i
\(484\) −1.66478 + 10.8733i −0.0756718 + 0.494241i
\(485\) −34.0121 18.8393i −1.54441 0.855450i
\(486\) 15.7914 1.65974i 0.716311 0.0752873i
\(487\) 12.4381 8.07740i 0.563625 0.366022i −0.231158 0.972916i \(-0.574251\pi\)
0.794783 + 0.606894i \(0.207585\pi\)
\(488\) 3.05472 4.70385i 0.138280 0.212933i
\(489\) 22.0004 + 15.9842i 0.994894 + 0.722833i
\(490\) 12.5631 + 9.33637i 0.567544 + 0.421774i
\(491\) −5.16184 + 15.8865i −0.232950 + 0.716948i 0.764436 + 0.644699i \(0.223017\pi\)
−0.997387 + 0.0722484i \(0.976983\pi\)
\(492\) −0.140422 2.67941i −0.00633072 0.120797i
\(493\) 15.1545 + 12.2718i 0.682523 + 0.552696i
\(494\) 0.202515 + 0.116922i 0.00911158 + 0.00526058i
\(495\) 32.5898 + 14.7385i 1.46480 + 0.662446i
\(496\) 6.36772i 0.285919i
\(497\) 8.20965 5.78740i 0.368253 0.259601i
\(498\) 8.79519 17.2615i 0.394122 0.773508i
\(499\) −7.99853 37.6301i −0.358063 1.68456i −0.676365 0.736567i \(-0.736446\pi\)
0.318302 0.947990i \(-0.396888\pi\)
\(500\) 10.6364 + 3.44494i 0.475673 + 0.154062i
\(501\) −55.9485 + 24.9099i −2.49960 + 1.11289i
\(502\) −1.61985 1.05195i −0.0722976 0.0469506i
\(503\) 30.1957 + 15.3855i 1.34636 + 0.686004i 0.970597 0.240712i \(-0.0773810\pi\)
0.375762 + 0.926716i \(0.377381\pi\)
\(504\) −11.9767 + 4.40231i −0.533486 + 0.196094i
\(505\) 19.9236 + 4.96090i 0.886589 + 0.220757i
\(506\) 12.0673 5.79403i 0.536459 0.257576i
\(507\) −34.9393 + 9.36195i −1.55171 + 0.415779i
\(508\) −0.0440522 + 0.0543999i −0.00195450 + 0.00241361i
\(509\) 6.38310 7.08915i 0.282926 0.314221i −0.584885 0.811117i \(-0.698860\pi\)
0.867810 + 0.496896i \(0.165527\pi\)
\(510\) 45.0912 10.4250i 1.99667 0.461626i
\(511\) 9.77540 24.4180i 0.432438 1.08019i
\(512\) 0.987688 0.156434i 0.0436501 0.00691349i
\(513\) 3.85179 + 2.50138i 0.170061 + 0.110439i
\(514\) 12.7888 + 2.71834i 0.564090 + 0.119901i
\(515\) 10.2409 7.72207i 0.451267 0.340275i
\(516\) −2.28098 + 1.31692i −0.100415 + 0.0579744i
\(517\) −10.4847 25.1290i −0.461117 1.10517i
\(518\) 5.19969 + 3.10186i 0.228461 + 0.136288i
\(519\) 31.4022 + 43.2214i 1.37840 + 1.89721i
\(520\) 0.324751 + 0.481138i 0.0142413 + 0.0210993i
\(521\) −12.8196 + 11.5429i −0.561638 + 0.505702i −0.900337 0.435193i \(-0.856680\pi\)
0.338699 + 0.940895i \(0.390013\pi\)
\(522\) −4.55454 + 11.8650i −0.199347 + 0.519317i
\(523\) −5.18242 6.39975i −0.226611 0.279842i 0.651141 0.758957i \(-0.274291\pi\)
−0.877752 + 0.479116i \(0.840957\pi\)
\(524\) 6.42842 19.7846i 0.280827 0.864296i
\(525\) 16.0932 33.3169i 0.702366 1.45407i
\(526\) −13.1976 + 9.58864i −0.575444 + 0.418084i
\(527\) 45.5154 + 12.1958i 1.98268 + 0.531258i
\(528\) −6.36811 + 6.74530i −0.277136 + 0.293552i
\(529\) 5.81091 + 3.35493i 0.252648 + 0.145866i
\(530\) −2.93297 + 3.75645i −0.127400 + 0.163170i
\(531\) −67.7405 + 22.0102i −2.93969 + 0.955162i
\(532\) 2.25588 + 0.768756i 0.0978048 + 0.0333298i
\(533\) 0.0389570 + 0.245965i 0.00168742 + 0.0106539i
\(534\) 2.44717 + 0.257208i 0.105899 + 0.0111305i
\(535\) 12.1517 39.7908i 0.525362 1.72030i
\(536\) −7.71357 1.63957i −0.333176 0.0708187i
\(537\) −7.72293 20.1189i −0.333269 0.868196i
\(538\) −9.41463 + 9.41463i −0.405893 + 0.405893i
\(539\) 7.16980 22.0815i 0.308825 0.951119i
\(540\) 5.87486 + 9.77048i 0.252814 + 0.420455i
\(541\) 3.92193 + 1.74615i 0.168617 + 0.0750730i 0.489309 0.872110i \(-0.337249\pi\)
−0.320693 + 0.947183i \(0.603916\pi\)
\(542\) −0.970565 1.49454i −0.0416893 0.0641959i
\(543\) −0.848882 + 16.1976i −0.0364290 + 0.695107i
\(544\) −0.773509 + 7.35944i −0.0331639 + 0.315533i
\(545\) 15.4939 + 18.4531i 0.663684 + 0.790445i
\(546\) 1.72393 0.847606i 0.0737774 0.0362742i
\(547\) 5.15565 + 2.62693i 0.220440 + 0.112320i 0.560723 0.828003i \(-0.310523\pi\)
−0.340284 + 0.940323i \(0.610523\pi\)
\(548\) 3.00953 + 7.84010i 0.128561 + 0.334912i
\(549\) −13.5251 + 23.4262i −0.577237 + 0.999804i
\(550\) −0.197803 16.5819i −0.00843433 0.707056i
\(551\) 2.05571 1.18687i 0.0875763 0.0505622i
\(552\) 11.1498 + 1.76595i 0.474566 + 0.0751639i
\(553\) −31.5128 29.1996i −1.34006 1.24169i
\(554\) −1.81933 0.591137i −0.0772961 0.0251150i
\(555\) 4.89085 13.4506i 0.207605 0.570946i
\(556\) 5.03706 + 11.3134i 0.213619 + 0.479796i
\(557\) −14.2645 0.747570i −0.604406 0.0316756i −0.252321 0.967644i \(-0.581194\pi\)
−0.352085 + 0.935968i \(0.614527\pi\)
\(558\) 1.60728 + 30.6688i 0.0680418 + 1.29831i
\(559\) 0.197773 0.143690i 0.00836490 0.00607746i
\(560\) 4.19787 + 4.16868i 0.177392 + 0.176159i
\(561\) −36.0177 58.4371i −1.52067 2.46722i
\(562\) −4.72818 1.26691i −0.199446 0.0534414i
\(563\) −11.8024 9.55743i −0.497414 0.402798i 0.347517 0.937674i \(-0.387025\pi\)
−0.844931 + 0.534876i \(0.820358\pi\)
\(564\) 4.77411 22.4604i 0.201026 0.945753i
\(565\) 18.2121 16.9937i 0.766190 0.714932i
\(566\) −9.85240 + 13.5607i −0.414127 + 0.569998i
\(567\) −0.506682 + 0.216976i −0.0212787 + 0.00911212i
\(568\) 3.38268 1.72356i 0.141934 0.0723191i
\(569\) −4.42072 3.98044i −0.185326 0.166869i 0.571245 0.820779i \(-0.306461\pi\)
−0.756572 + 0.653911i \(0.773127\pi\)
\(570\) 0.782314 5.57911i 0.0327675 0.233683i
\(571\) −5.57395 + 9.65436i −0.233262 + 0.404022i −0.958766 0.284196i \(-0.908273\pi\)
0.725504 + 0.688218i \(0.241607\pi\)
\(572\) 0.522377 0.684418i 0.0218417 0.0286170i
\(573\) 21.9615 21.9615i 0.917456 0.917456i
\(574\) 0.875635 + 2.38222i 0.0365483 + 0.0994319i
\(575\) −16.5237 + 11.5854i −0.689085 + 0.483145i
\(576\) −4.71751 + 1.00274i −0.196563 + 0.0417807i
\(577\) 4.30425 + 1.65225i 0.179188 + 0.0687840i 0.446308 0.894879i \(-0.352739\pi\)
−0.267120 + 0.963663i \(0.586072\pi\)
\(578\) −35.2517 13.5319i −1.46628 0.562851i
\(579\) 40.4611 8.60027i 1.68150 0.357415i
\(580\) 5.87792 0.412871i 0.244067 0.0171436i
\(581\) −3.12491 + 18.0574i −0.129643 + 0.749148i
\(582\) −34.3893 + 34.3893i −1.42548 + 1.42548i
\(583\) 6.66948 + 2.34247i 0.276222 + 0.0970152i
\(584\) 4.97061 8.60935i 0.205685 0.356257i
\(585\) −1.68554 2.23533i −0.0696885 0.0924196i
\(586\) −12.1624 10.9510i −0.502423 0.452383i
\(587\) −34.0556 + 17.3522i −1.40562 + 0.716201i −0.981866 0.189575i \(-0.939289\pi\)
−0.423757 + 0.905776i \(0.639289\pi\)
\(588\) 15.5610 11.8818i 0.641725 0.489997i
\(589\) 3.37153 4.64052i 0.138922 0.191209i
\(590\) 22.5293 + 24.1446i 0.927516 + 0.994016i
\(591\) 7.33754 34.5204i 0.301826 1.41998i
\(592\) 1.77844 + 1.44015i 0.0730935 + 0.0591900i
\(593\) 14.4768 + 3.87906i 0.594493 + 0.159294i 0.543506 0.839405i \(-0.317097\pi\)
0.0509871 + 0.998699i \(0.483763\pi\)
\(594\) 10.9490 12.8867i 0.449243 0.528748i
\(595\) −37.8370 + 22.0216i −1.55117 + 0.902797i
\(596\) −4.94148 + 3.59019i −0.202411 + 0.147060i
\(597\) −2.14122 40.8570i −0.0876344 1.67216i
\(598\) −1.04633 0.0548359i −0.0427877 0.00224241i
\(599\) 10.8292 + 24.3229i 0.442471 + 0.993806i 0.987821 + 0.155597i \(0.0497302\pi\)
−0.545350 + 0.838209i \(0.683603\pi\)
\(600\) 7.81291 11.5988i 0.318961 0.473517i
\(601\) 6.05721 + 1.96811i 0.247079 + 0.0802807i 0.429938 0.902858i \(-0.358535\pi\)
−0.182860 + 0.983139i \(0.558535\pi\)
\(602\) 1.69338 1.82753i 0.0690172 0.0744848i
\(603\) 37.5647 + 5.94966i 1.52975 + 0.242289i
\(604\) 20.1093 11.6101i 0.818234 0.472408i
\(605\) −23.2126 + 8.13490i −0.943725 + 0.330731i
\(606\) 12.8410 22.2413i 0.521630 0.903490i
\(607\) 6.54795 + 17.0580i 0.265773 + 0.692362i 0.999911 + 0.0133618i \(0.00425332\pi\)
−0.734138 + 0.679001i \(0.762413\pi\)
\(608\) 0.802612 + 0.408951i 0.0325502 + 0.0165852i
\(609\) 1.29848 19.4570i 0.0526170 0.788437i
\(610\) 12.4940 + 1.08915i 0.505869 + 0.0440984i
\(611\) −0.222775 + 2.11956i −0.00901250 + 0.0857482i
\(612\) 1.86784 35.6405i 0.0755028 1.44068i
\(613\) −16.5376 25.4657i −0.667948 1.02855i −0.996461 0.0840510i \(-0.973214\pi\)
0.328513 0.944499i \(-0.393453\pi\)
\(614\) −8.24052 3.66892i −0.332560 0.148065i
\(615\) 5.14167 3.09162i 0.207332 0.124666i
\(616\) 3.87013 7.87541i 0.155932 0.317309i
\(617\) 19.3219 19.3219i 0.777869 0.777869i −0.201599 0.979468i \(-0.564614\pi\)
0.979468 + 0.201599i \(0.0646139\pi\)
\(618\) −5.74935 14.9776i −0.231273 0.602486i
\(619\) 32.9833 + 7.01082i 1.32571 + 0.281789i 0.815748 0.578408i \(-0.196326\pi\)
0.509963 + 0.860196i \(0.329659\pi\)
\(620\) 12.5699 6.68858i 0.504819 0.268620i
\(621\) −20.4656 2.15102i −0.821255 0.0863174i
\(622\) 5.39059 + 34.0348i 0.216143 + 1.36467i
\(623\) −2.28344 + 0.451388i −0.0914843 + 0.0180845i
\(624\) 0.690546 0.224372i 0.0276440 0.00898207i
\(625\) 4.37200 + 24.6147i 0.174880 + 0.984590i
\(626\) −15.2506 8.80493i −0.609536 0.351916i
\(627\) −8.21225 + 1.54394i −0.327966 + 0.0616592i
\(628\) 0.861409 + 0.230814i 0.0343740 + 0.00921048i
\(629\) −13.7002 + 9.95374i −0.546261 + 0.396882i
\(630\) −21.2704 19.0180i −0.847432 0.757695i
\(631\) −7.02124 + 21.6092i −0.279511 + 0.860247i 0.708479 + 0.705732i \(0.249382\pi\)
−0.987990 + 0.154515i \(0.950618\pi\)
\(632\) −10.2188 12.6192i −0.406482 0.501963i
\(633\) −5.34543 + 13.9253i −0.212462 + 0.553482i
\(634\) −4.48807 + 4.04108i −0.178244 + 0.160492i
\(635\) −0.153657 0.0298181i −0.00609771 0.00118330i
\(636\) 3.50395 + 4.82277i 0.138940 + 0.191235i
\(637\) −1.32111 + 1.24774i −0.0523442 + 0.0494372i
\(638\) −3.36538 8.06592i −0.133237 0.319333i
\(639\) −15.8569 + 9.15500i −0.627291 + 0.362166i
\(640\) 1.34626 + 1.78538i 0.0532155 + 0.0705734i
\(641\) −3.52290 0.748816i −0.139146 0.0295765i 0.137812 0.990458i \(-0.455993\pi\)
−0.276958 + 0.960882i \(0.589326\pi\)
\(642\) −43.6450 28.3434i −1.72253 1.11863i
\(643\) −0.608470 + 0.0963722i −0.0239957 + 0.00380055i −0.168421 0.985715i \(-0.553867\pi\)
0.144425 + 0.989516i \(0.453867\pi\)
\(644\) −10.5698 + 1.51974i −0.416510 + 0.0598863i
\(645\) −4.99553 3.11938i −0.196699 0.122825i
\(646\) −4.46032 + 4.95369i −0.175489 + 0.194900i
\(647\) 22.2635 27.4931i 0.875267 1.08087i −0.120836 0.992672i \(-0.538557\pi\)
0.996103 0.0881928i \(-0.0281092\pi\)
\(648\) −0.201230 + 0.0539194i −0.00790505 + 0.00211815i
\(649\) 23.2609 43.1056i 0.913069 1.69204i
\(650\) −0.608654 + 1.14644i −0.0238734 + 0.0449671i
\(651\) −16.2570 44.2281i −0.637162 1.73344i
\(652\) −8.66304 4.41404i −0.339271 0.172867i
\(653\) 9.03746 + 5.86900i 0.353663 + 0.229672i 0.709227 0.704981i \(-0.249044\pi\)
−0.355563 + 0.934652i \(0.615711\pi\)
\(654\) 27.5334 12.2586i 1.07664 0.479351i
\(655\) 45.8073 8.09183i 1.78984 0.316174i
\(656\) 0.199448 + 0.938330i 0.00778715 + 0.0366356i
\(657\) −21.7668 + 42.7198i −0.849204 + 1.66666i
\(658\) 1.96182 + 21.6321i 0.0764797 + 0.843309i
\(659\) 20.8642i 0.812754i 0.913705 + 0.406377i \(0.133208\pi\)
−0.913705 + 0.406377i \(0.866792\pi\)
\(660\) −20.0042 5.48548i −0.778663 0.213522i
\(661\) −17.5487 10.1318i −0.682567 0.394080i 0.118255 0.992983i \(-0.462270\pi\)
−0.800821 + 0.598903i \(0.795603\pi\)
\(662\) −2.57374 2.08418i −0.100031 0.0810038i
\(663\) 0.281201 + 5.36563i 0.0109209 + 0.208384i
\(664\) −2.14041 + 6.58750i −0.0830640 + 0.255645i
\(665\) 0.852022 + 5.26061i 0.0330400 + 0.203998i
\(666\) −8.92901 6.48730i −0.345992 0.251378i
\(667\) −5.79267 + 8.91993i −0.224293 + 0.345381i
\(668\) 18.3639 11.9257i 0.710523 0.461419i
\(669\) 46.9988 4.93977i 1.81708 0.190983i
\(670\) −4.86573 16.9488i −0.187979 0.654789i
\(671\) −4.38912 18.0767i −0.169440 0.697844i
\(672\) 6.46078 3.60814i 0.249230 0.139187i
\(673\) −21.9053 3.46946i −0.844389 0.133738i −0.280772 0.959774i \(-0.590590\pi\)
−0.563617 + 0.826036i \(0.690590\pi\)
\(674\) −8.70247 7.83574i −0.335207 0.301821i
\(675\) −13.1161 + 21.8598i −0.504838 + 0.841383i
\(676\) 11.8145 5.26017i 0.454405 0.202314i
\(677\) 15.6340 12.6602i 0.600864 0.486570i −0.279962 0.960011i \(-0.590322\pi\)
0.880825 + 0.473441i \(0.156988\pi\)
\(678\) −14.1451 27.7613i −0.543239 1.06617i
\(679\) 21.4688 40.6882i 0.823898 1.56147i
\(680\) −15.3400 + 6.20336i −0.588264 + 0.237888i
\(681\) 16.8929 + 29.2594i 0.647337 + 1.12122i
\(682\) −15.3568 14.4981i −0.588044 0.555161i
\(683\) 3.42742 0.918374i 0.131146 0.0351406i −0.192649 0.981268i \(-0.561708\pi\)
0.323795 + 0.946127i \(0.395041\pi\)
\(684\) −3.96883 1.76704i −0.151752 0.0675644i
\(685\) −12.3152 + 14.1760i −0.470539 + 0.541636i
\(686\) −10.7427 + 15.0862i −0.410157 + 0.575996i
\(687\) 51.0099 8.07917i 1.94615 0.308240i
\(688\) 0.731829 0.592623i 0.0279007 0.0225936i
\(689\) −0.370227 0.411178i −0.0141045 0.0156647i
\(690\) 8.22560 + 23.8646i 0.313143 + 0.908511i
\(691\) 21.2707 47.7748i 0.809176 1.81744i 0.310807 0.950473i \(-0.399401\pi\)
0.498368 0.866965i \(-0.333933\pi\)
\(692\) −13.5065 13.5065i −0.513439 0.513439i
\(693\) −16.6518 + 38.9071i −0.632551 + 1.47796i
\(694\) 11.1717i 0.424071i
\(695\) −17.0419 + 21.8267i −0.646435 + 0.827932i
\(696\) 1.53239 7.20934i 0.0580852 0.273269i
\(697\) −7.08902 0.371520i −0.268516 0.0140723i
\(698\) 7.09379 + 8.76010i 0.268504 + 0.331575i
\(699\) −58.3083 42.3635i −2.20542 1.60233i
\(700\) −3.81959 + 12.6653i −0.144367 + 0.478705i
\(701\) 4.57873 + 14.0919i 0.172936 + 0.532243i 0.999533 0.0305511i \(-0.00972623\pi\)
−0.826597 + 0.562795i \(0.809726\pi\)
\(702\) −1.23567 + 0.474328i −0.0466372 + 0.0179023i
\(703\) 0.533529 + 1.99116i 0.0201224 + 0.0750979i
\(704\) 1.87151 2.73815i 0.0705352 0.103198i
\(705\) 49.3515 14.1680i 1.85869 0.533599i
\(706\) 9.81790 + 13.5132i 0.369502 + 0.508575i
\(707\) −5.38969 + 23.6883i −0.202700 + 0.890891i
\(708\) 36.8043 18.7527i 1.38319 0.704770i
\(709\) 0.479191 + 0.0503650i 0.0179964 + 0.00189150i 0.113522 0.993535i \(-0.463787\pi\)
−0.0955260 + 0.995427i \(0.530453\pi\)
\(710\) 6.95544 + 4.86701i 0.261033 + 0.182656i
\(711\) 52.4019 + 58.1982i 1.96523 + 2.18260i
\(712\) −0.878556 + 0.0460432i −0.0329253 + 0.00172554i
\(713\) −4.02049 + 25.3844i −0.150569 + 0.950653i
\(714\) 13.4163 + 53.0911i 0.502094 + 1.98688i
\(715\) 1.89974 + 0.312268i 0.0710463 + 0.0116782i
\(716\) 3.85247 + 6.67267i 0.143974 + 0.249369i
\(717\) 25.5524 31.5546i 0.954271 1.17843i
\(718\) −2.88450 4.44174i −0.107649 0.165764i
\(719\) 31.5757 6.71162i 1.17757 0.250301i 0.422761 0.906241i \(-0.361061\pi\)
0.754813 + 0.655940i \(0.227728\pi\)
\(720\) −6.93462 8.25911i −0.258438 0.307799i
\(721\) 9.38116 + 11.9290i 0.349373 + 0.444261i
\(722\) −8.25744 16.2061i −0.307310 0.603130i
\(723\) −12.4382 + 0.651857i −0.462580 + 0.0242428i
\(724\) −0.606174 5.76736i −0.0225283 0.214342i
\(725\) 6.98910 + 11.1694i 0.259569 + 0.414819i
\(726\) 1.76847 + 30.7155i 0.0656340 + 1.13996i
\(727\) 21.6854 + 21.6854i 0.804268 + 0.804268i 0.983759 0.179492i \(-0.0574453\pi\)
−0.179492 + 0.983759i \(0.557445\pi\)
\(728\) −0.561367 + 0.395736i −0.0208056 + 0.0146670i
\(729\) 41.6428 13.5306i 1.54233 0.501133i
\(730\) 22.2159 + 0.768842i 0.822249 + 0.0284561i
\(731\) 2.83433 + 6.36602i 0.104832 + 0.235456i
\(732\) 5.62180 14.6453i 0.207788 0.541305i
\(733\) −15.5546 + 23.9519i −0.574521 + 0.884684i −0.999792 0.0203817i \(-0.993512\pi\)
0.425272 + 0.905066i \(0.360179\pi\)
\(734\) −8.06162 24.8111i −0.297560 0.915795i
\(735\) 39.7998 + 18.2370i 1.46804 + 0.672682i
\(736\) −4.03611 −0.148773
\(737\) −21.5164 + 14.8696i −0.792568 + 0.547728i
\(738\) −1.19745 4.46893i −0.0440786 0.164504i
\(739\) 9.93080 1.04377i 0.365311 0.0383957i 0.0799049 0.996802i \(-0.474538\pi\)
0.285406 + 0.958407i \(0.407872\pi\)
\(740\) −0.974814 + 5.02337i −0.0358349 + 0.184663i
\(741\) 0.622038 + 0.202112i 0.0228511 + 0.00742479i
\(742\) −4.51428 3.37933i −0.165724 0.124059i
\(743\) 1.93528 + 12.2189i 0.0709986 + 0.448267i 0.997420 + 0.0717803i \(0.0228681\pi\)
−0.926422 + 0.376487i \(0.877132\pi\)
\(744\) −3.70294 17.4210i −0.135756 0.638684i
\(745\) −12.2775 5.98339i −0.449814 0.219215i
\(746\) 1.59812 + 15.2051i 0.0585113 + 0.556698i
\(747\) 8.64608 32.2676i 0.316343 1.18061i
\(748\) 15.9874 + 18.6215i 0.584557 + 0.680869i
\(749\) 47.3634 + 13.4186i 1.73062 + 0.490305i
\(750\) 31.1025 + 3.23951i 1.13570 + 0.118290i
\(751\) −3.67169 + 4.07783i −0.133982 + 0.148802i −0.806402 0.591368i \(-0.798588\pi\)
0.672420 + 0.740170i \(0.265255\pi\)
\(752\) −0.429664 + 8.19848i −0.0156682 + 0.298968i
\(753\) −5.04336 1.93597i −0.183790 0.0705505i
\(754\) −0.0715063 + 0.680337i −0.00260411 + 0.0247764i
\(755\) 44.0409 + 27.5006i 1.60281 + 1.00085i
\(756\) −11.4170 + 7.18465i −0.415232 + 0.261303i
\(757\) 1.55146 9.79556i 0.0563889 0.356026i −0.943320 0.331886i \(-0.892315\pi\)
0.999709 0.0241401i \(-0.00768478\pi\)
\(758\) −5.16487 + 19.2755i −0.187596 + 0.700119i
\(759\) 29.6448 22.8688i 1.07604 0.830086i
\(760\) 0.0357830 + 2.01391i 0.00129799 + 0.0730523i
\(761\) 12.0553 27.0766i 0.437003 0.981526i −0.552029 0.833825i \(-0.686146\pi\)
0.989032 0.147701i \(-0.0471873\pi\)
\(762\) −0.0888846 + 0.174446i −0.00321995 + 0.00631951i
\(763\) −21.4571 + 18.7724i −0.776799 + 0.679605i
\(764\) −6.52698 + 8.98362i −0.236138 + 0.325016i
\(765\) 72.3163 33.7492i 2.61460 1.22020i
\(766\) 3.26919 2.94359i 0.118121 0.106356i
\(767\) −3.21534 + 2.08807i −0.116099 + 0.0753957i
\(768\) 2.61117 1.00234i 0.0942226 0.0361687i
\(769\) −19.9299 −0.718689 −0.359345 0.933205i \(-0.617000\pi\)
−0.359345 + 0.933205i \(0.617000\pi\)
\(770\) 19.6112 0.632582i 0.706739 0.0227967i
\(771\) 36.5687 1.31699
\(772\) −13.8070 + 5.30003i −0.496926 + 0.190752i
\(773\) 1.11058 0.721220i 0.0399448 0.0259405i −0.524512 0.851403i \(-0.675752\pi\)
0.564457 + 0.825462i \(0.309086\pi\)
\(774\) −3.37512 + 3.03897i −0.121316 + 0.109233i
\(775\) 26.4065 + 17.7874i 0.948551 + 0.638943i
\(776\) 10.2205 14.0673i 0.366895 0.504988i
\(777\) 16.0292 + 5.46242i 0.575046 + 0.195963i
\(778\) −7.94394 + 15.5909i −0.284804 + 0.558960i
\(779\) −0.351471 + 0.789416i −0.0125927 + 0.0282838i
\(780\) 1.16825 + 1.12746i 0.0418301 + 0.0403696i
\(781\) 3.54506 12.0821i 0.126852 0.432332i
\(782\) 7.73017 28.8494i 0.276430 1.03165i
\(783\) −2.10178 + 13.2701i −0.0751114 + 0.474235i
\(784\) −4.83052 + 5.06617i −0.172519 + 0.180934i
\(785\) 0.449186 + 1.94287i 0.0160321 + 0.0693439i
\(786\) 6.08192 57.8656i 0.216935 2.06400i
\(787\) −35.1663 13.4991i −1.25354 0.481191i −0.361176 0.932498i \(-0.617625\pi\)
−0.892369 + 0.451307i \(0.850958\pi\)
\(788\) −0.660371 + 12.6006i −0.0235247 + 0.448879i
\(789\) −30.5304 + 33.9075i −1.08691 + 1.20714i
\(790\) 14.1766 33.4269i 0.504379 1.18928i
\(791\) 20.5409 + 21.1360i 0.730350 + 0.751508i
\(792\) −8.32260 + 13.6601i −0.295731 + 0.485391i
\(793\) −0.376843 + 1.40640i −0.0133821 + 0.0499426i
\(794\) 2.87926 + 27.3943i 0.102181 + 0.972188i
\(795\) −5.83965 + 11.9826i −0.207111 + 0.424978i
\(796\) 3.04128 + 14.3081i 0.107795 + 0.507137i
\(797\) 0.894173 + 5.64558i 0.0316732 + 0.199977i 0.998451 0.0556424i \(-0.0177207\pi\)
−0.966778 + 0.255619i \(0.917721\pi\)
\(798\) 6.61874 + 0.791348i 0.234301 + 0.0280134i
\(799\) −57.7785 18.7734i −2.04406 0.664154i
\(800\) −2.11026 + 4.53286i −0.0746088 + 0.160261i
\(801\) 4.21976 0.443515i 0.149098 0.0156708i
\(802\) 6.17301 + 23.0380i 0.217977 + 0.813500i
\(803\) −9.44577 31.5893i −0.333334 1.11476i
\(804\) −22.0564 −0.777870
\(805\) −14.1024 19.2686i −0.497044 0.679127i
\(806\) 0.510821 + 1.57215i 0.0179929 + 0.0553765i
\(807\) −20.2820 + 31.2315i −0.713960 + 1.09940i
\(808\) −3.29059 + 8.57229i −0.115763 + 0.301572i
\(809\) 17.4203 + 39.1267i 0.612466 + 1.37562i 0.907467 + 0.420124i \(0.138014\pi\)
−0.295000 + 0.955497i \(0.595320\pi\)
\(810\) −0.317806 0.340592i −0.0111666 0.0119672i
\(811\) −3.29539 + 1.07074i −0.115717 + 0.0375987i −0.366303 0.930496i \(-0.619377\pi\)
0.250586 + 0.968094i \(0.419377\pi\)
\(812\) 0.629705 + 6.94349i 0.0220983 + 0.243669i
\(813\) −3.52440 3.52440i −0.123606 0.123606i
\(814\) 7.52235 1.01006i 0.263658 0.0354025i
\(815\) −0.386226 21.7373i −0.0135289 0.761425i
\(816\) 2.16346 + 20.5840i 0.0757363 + 0.720583i
\(817\) 0.847102 0.0443948i 0.0296364 0.00155318i
\(818\) −6.21766 12.2028i −0.217395 0.426662i
\(819\) 2.60382 2.04768i 0.0909847 0.0715516i
\(820\) −1.64277 + 1.37932i −0.0573680 + 0.0481680i
\(821\) −53.4825 + 11.3681i −1.86655 + 0.396748i −0.995526 0.0944872i \(-0.969879\pi\)
−0.871027 + 0.491235i \(0.836546\pi\)
\(822\) 12.7927 + 19.6990i 0.446197 + 0.687083i
\(823\) −10.2954 + 12.7137i −0.358874 + 0.443172i −0.924323 0.381611i \(-0.875370\pi\)
0.565449 + 0.824783i \(0.308703\pi\)
\(824\) 2.86798 + 4.96748i 0.0999107 + 0.173050i
\(825\) −10.1838 45.2503i −0.354556 1.57541i
\(826\) −28.0208 + 27.2319i −0.974968 + 0.947518i
\(827\) 5.10515 32.2327i 0.177524 1.12084i −0.724539 0.689234i \(-0.757947\pi\)
0.902062 0.431606i \(-0.142053\pi\)
\(828\) 19.4391 1.01876i 0.675554 0.0354043i
\(829\) 33.8915 + 37.6404i 1.17710 + 1.30730i 0.942109 + 0.335306i \(0.108840\pi\)
0.234992 + 0.971997i \(0.424494\pi\)
\(830\) −15.2520 + 2.69426i −0.529405 + 0.0935191i
\(831\) −5.32113 0.559274i −0.184588 0.0194010i
\(832\) −0.231304 + 0.117855i −0.00801902 + 0.00408590i
\(833\) −26.9604 44.2308i −0.934123 1.53251i
\(834\) 20.3595 + 28.0224i 0.704991 + 0.970337i
\(835\) 42.8306 + 23.7239i 1.48221 + 0.820999i
\(836\) 2.81365 1.00453i 0.0973120 0.0347424i
\(837\) 8.40287 + 31.3599i 0.290446 + 1.08396i
\(838\) 23.2136 8.91087i 0.801901 0.307821i
\(839\) −14.0011 43.0909i −0.483371 1.48766i −0.834327 0.551270i \(-0.814143\pi\)
0.350956 0.936392i \(-0.385857\pi\)
\(840\) 13.9088 + 8.96364i 0.479899 + 0.309275i
\(841\) −17.8436 12.9641i −0.615297 0.447039i
\(842\) −22.9946 28.3960i −0.792447 0.978591i
\(843\) −13.6722 0.716530i −0.470896 0.0246786i
\(844\) 1.10879 5.21644i 0.0381661 0.179557i
\(845\) 22.7934 + 17.7967i 0.784117 + 0.612225i
\(846\) 39.5947i 1.36130i
\(847\) −10.1813 27.2643i −0.349834 0.936812i
\(848\) −1.50709 1.50709i −0.0517537 0.0517537i
\(849\) −19.0687 + 42.8290i −0.654436 + 1.46989i
\(850\) −28.3584 23.7653i −0.972686 0.815145i
\(851\) −6.18031 6.86393i −0.211858 0.235293i
\(852\) 8.25214 6.68245i 0.282714 0.228937i
\(853\) 39.4502 6.24829i 1.35075 0.213937i 0.561227 0.827662i \(-0.310329\pi\)
0.789520 + 0.613724i \(0.210329\pi\)
\(854\) −0.988110 + 14.8063i −0.0338124 + 0.506661i
\(855\) −0.680676 9.69057i −0.0232786 0.331410i
\(856\) 16.9977 + 7.56785i 0.580969 + 0.258664i
\(857\) −7.03805 + 1.88584i −0.240415 + 0.0644190i −0.377015 0.926207i \(-0.623049\pi\)
0.136599 + 0.990626i \(0.456383\pi\)
\(858\) 1.03113 2.17622i 0.0352022 0.0742949i
\(859\) −24.0354 41.6306i −0.820078 1.42042i −0.905624 0.424082i \(-0.860597\pi\)
0.0855456 0.996334i \(-0.472737\pi\)
\(860\) 1.93854 + 0.822148i 0.0661038 + 0.0280350i
\(861\) 3.78089 + 6.00814i 0.128852 + 0.204757i
\(862\) 3.61909 + 7.10286i 0.123267 + 0.241924i
\(863\) 28.7169 23.2545i 0.977535 0.791592i −0.000507065 1.00000i \(-0.500161\pi\)
0.978042 + 0.208408i \(0.0668281\pi\)
\(864\) −4.65776 + 2.07377i −0.158460 + 0.0705510i
\(865\) 12.4748 40.8489i 0.424155 1.38890i
\(866\) −6.43495 5.79405i −0.218668 0.196890i
\(867\) −104.312 16.5213i −3.54261 0.561094i
\(868\) 8.21455 + 14.7091i 0.278820 + 0.499258i
\(869\) −53.6995 4.08707i −1.82163 0.138644i
\(870\) 15.8409 4.54766i 0.537056 0.154180i
\(871\) 2.03595 0.213987i 0.0689856 0.00725068i
\(872\) −9.03726 + 5.86886i −0.306040 + 0.198745i
\(873\) −45.6742 + 70.3322i −1.54584 + 2.38038i
\(874\) −2.94134 2.13701i −0.0994922 0.0722853i
\(875\) −29.0135 + 5.76362i −0.980834 + 0.194846i
\(876\) 8.59223 26.4442i 0.290305 0.893466i
\(877\) −0.498712 9.51599i −0.0168403 0.321332i −0.994040 0.109012i \(-0.965231\pi\)
0.977200 0.212320i \(-0.0681020\pi\)
\(878\) 4.43184 + 3.58884i 0.149567 + 0.121117i
\(879\) −39.6423 22.8875i −1.33710 0.771976i
\(880\) 7.37092 + 0.818247i 0.248474 + 0.0275831i
\(881\) 47.6094i 1.60400i −0.597324 0.802000i \(-0.703769\pi\)
0.597324 0.802000i \(-0.296231\pi\)
\(882\) 21.9865 25.6194i 0.740323 0.862650i
\(883\) 11.2206 22.0216i 0.377603 0.741087i −0.621501 0.783413i \(-0.713477\pi\)
0.999104 + 0.0423261i \(0.0134768\pi\)
\(884\) −0.399403 1.87904i −0.0134334 0.0631991i
\(885\) 75.6767 + 52.9541i 2.54384 + 1.78003i
\(886\) 19.8588 8.84173i 0.667171 0.297044i
\(887\) 13.5023 + 8.76849i 0.453363 + 0.294417i 0.751049 0.660247i \(-0.229548\pi\)
−0.297686 + 0.954664i \(0.596215\pi\)
\(888\) 5.70298 + 2.90581i 0.191380 + 0.0975128i
\(889\) 0.0315805 0.182489i 0.00105918 0.00612049i
\(890\) −1.01371 1.68591i −0.0339798 0.0565118i
\(891\) −0.328126 + 0.608064i −0.0109926 + 0.0203709i
\(892\) −16.3205 + 4.37305i −0.546449 + 0.146421i
\(893\) −4.65399 + 5.74720i −0.155740 + 0.192323i
\(894\) −11.4313 + 12.6957i −0.382319 + 0.424608i
\(895\) −9.12528 + 14.6137i −0.305025 + 0.488481i
\(896\) −2.07970 + 1.63550i −0.0694778 + 0.0546382i
\(897\) −2.89447 + 0.458438i −0.0966434 + 0.0153068i
\(898\) 12.5309 + 8.13767i 0.418162 + 0.271558i
\(899\) 16.4133 + 3.48876i 0.547414 + 0.116357i
\(900\) 9.01947 22.3642i 0.300649 0.745474i
\(901\) 13.6589 7.88597i 0.455044 0.262720i
\(902\) 2.71705 + 1.65540i 0.0904678 + 0.0551186i
\(903\) 3.57006 5.98455i 0.118804 0.199153i
\(904\) 6.54778 + 9.01224i 0.217776 + 0.299743i
\(905\) 10.7481 7.25456i 0.357278 0.241150i
\(906\) 48.2640 43.4571i 1.60346 1.44376i
\(907\) −5.64324 + 14.7011i −0.187381 + 0.488143i −0.994802 0.101833i \(-0.967529\pi\)
0.807421 + 0.589976i \(0.200863\pi\)
\(908\) −7.60190 9.38756i −0.252278 0.311537i
\(909\) 13.6847 42.1172i 0.453893 1.39694i
\(910\) −1.37084 0.692463i −0.0454428 0.0229549i
\(911\) −37.6474 + 27.3524i −1.24731 + 0.906227i −0.998063 0.0622119i \(-0.980185\pi\)
−0.249251 + 0.968439i \(0.580185\pi\)
\(912\) 2.43362 + 0.652086i 0.0805851 + 0.0215927i
\(913\) 11.0136 + 20.1604i 0.364496 + 0.667213i
\(914\) −30.3073 17.4979i −1.00248 0.578780i
\(915\) 34.8149 4.28578i 1.15094 0.141684i
\(916\) −17.5613 + 5.70601i −0.580242 + 0.188532i
\(917\) 10.6735 + 53.9942i 0.352470 + 1.78305i
\(918\) −5.90215 37.2647i −0.194800 1.22992i
\(919\) −52.7000 5.53900i −1.73841 0.182715i −0.818413 0.574631i \(-0.805146\pi\)
−0.920001 + 0.391916i \(0.871812\pi\)
\(920\) −4.23948 7.96728i −0.139771 0.262673i
\(921\) −24.6782 5.24551i −0.813173 0.172845i
\(922\) −4.81347 12.5395i −0.158523 0.412967i
\(923\) −0.696895 + 0.696895i −0.0229386 + 0.0229386i
\(924\) 6.00832 23.7963i 0.197659 0.782841i
\(925\) −10.9401 + 3.35220i −0.359708 + 0.110220i
\(926\) 32.4352 + 14.4411i 1.06589 + 0.474563i
\(927\) −15.0669 23.2009i −0.494861 0.762019i
\(928\) −0.137914 + 2.63155i −0.00452724 + 0.0863849i
\(929\) −2.06661 + 19.6625i −0.0678033 + 0.645105i 0.906861 + 0.421431i \(0.138472\pi\)
−0.974664 + 0.223674i \(0.928195\pi\)
\(930\) 30.4995 25.6084i 1.00012 0.839733i
\(931\) −6.20267 + 1.13437i −0.203284 + 0.0371775i
\(932\) 22.9599 + 11.6987i 0.752076 + 0.383202i
\(933\) 34.5395 + 89.9786i 1.13077 + 2.94577i
\(934\) 17.7201 30.6921i 0.579818 1.00427i
\(935\) −19.9659 + 51.1189i −0.652954 + 1.67177i
\(936\) 1.08428 0.626009i 0.0354408 0.0204617i
\(937\) −39.9930 6.33426i −1.30651 0.206931i −0.535925 0.844265i \(-0.680037\pi\)
−0.770588 + 0.637334i \(0.780037\pi\)
\(938\) 19.9330 6.16342i 0.650835 0.201243i
\(939\) −46.8431 15.2203i −1.52867 0.496694i
\(940\) −16.6351 + 7.76343i −0.542578 + 0.253215i
\(941\) −3.65464 8.20846i −0.119138 0.267588i 0.844126 0.536145i \(-0.180120\pi\)
−0.963264 + 0.268557i \(0.913453\pi\)
\(942\) 2.49089 + 0.130542i 0.0811575 + 0.00425328i
\(943\) −0.202635 3.86650i −0.00659870 0.125911i
\(944\) −11.9479 + 8.68065i −0.388871 + 0.282531i
\(945\) −26.1748 14.9905i −0.851465 0.487641i
\(946\) 0.237024 3.11422i 0.00770630 0.101252i
\(947\) 39.0464 + 10.4625i 1.26884 + 0.339984i 0.829585 0.558380i \(-0.188577\pi\)
0.439252 + 0.898364i \(0.355244\pi\)
\(948\) −35.2951 28.5814i −1.14633 0.928281i
\(949\) −0.536563 + 2.52433i −0.0174176 + 0.0819433i
\(950\) −3.93789 + 2.18603i −0.127762 + 0.0709241i
\(951\) −9.92862 + 13.6656i −0.321957 + 0.443136i
\(952\) −7.70713 17.9977i −0.249790 0.583310i
\(953\) 1.72405 0.878446i 0.0558474 0.0284557i −0.425844 0.904797i \(-0.640023\pi\)
0.481691 + 0.876341i \(0.340023\pi\)
\(954\) 7.63900 + 6.87819i 0.247322 + 0.222690i
\(955\) −24.5896 3.44800i −0.795699 0.111575i
\(956\) −7.25848 + 12.5721i −0.234756 + 0.406609i
\(957\) −13.8976 20.1099i −0.449245 0.650061i
\(958\) −17.5299 + 17.5299i −0.566364 + 0.566364i
\(959\) −17.0658 14.2278i −0.551083 0.459439i
\(960\) 4.72136 + 4.10162i 0.152381 + 0.132379i
\(961\) 9.33927 1.98512i 0.301267 0.0640362i
\(962\) −0.554614 0.212897i −0.0178815 0.00686406i
\(963\) −83.7760 32.1586i −2.69964 1.03630i
\(964\) 4.35585 0.925864i 0.140292 0.0298201i
\(965\) −24.9650 21.6881i −0.803652 0.698163i
\(966\) −28.0335 + 10.3043i −0.901962 + 0.331535i
\(967\) −15.2015 + 15.2015i −0.488847 + 0.488847i −0.907942 0.419095i \(-0.862347\pi\)
0.419095 + 0.907942i \(0.362347\pi\)
\(968\) −2.34243 10.7477i −0.0752887 0.345444i
\(969\) −9.32200 + 16.1462i −0.299466 + 0.518690i
\(970\) 38.5045 + 5.39917i 1.23630 + 0.173357i
\(971\) 40.5814 + 36.5397i 1.30232 + 1.17261i 0.973619 + 0.228180i \(0.0732775\pi\)
0.328701 + 0.944434i \(0.393389\pi\)
\(972\) −14.1477 + 7.20862i −0.453788 + 0.231217i
\(973\) −26.2300 19.6354i −0.840894 0.629482i
\(974\) −8.71730 + 11.9983i −0.279320 + 0.384451i
\(975\) −0.998495 + 3.49040i −0.0319774 + 0.111782i
\(976\) −1.16611 + 5.48613i −0.0373264 + 0.175607i
\(977\) 18.6280 + 15.0847i 0.595964 + 0.482602i 0.879203 0.476447i \(-0.158076\pi\)
−0.283239 + 0.959049i \(0.591409\pi\)
\(978\) −26.2674 7.03833i −0.839939 0.225061i
\(979\) −1.88926 + 2.22362i −0.0603811 + 0.0710671i
\(980\) −15.0745 4.21403i −0.481539 0.134612i
\(981\) 42.0447 30.5473i 1.34238 0.975299i
\(982\) −0.874223 16.6812i −0.0278976 0.532317i
\(983\) 46.3365 + 2.42839i 1.47790 + 0.0774536i 0.774155 0.632996i \(-0.218175\pi\)
0.703748 + 0.710449i \(0.251508\pi\)
\(984\) 1.09131 + 2.45112i 0.0347897 + 0.0781390i
\(985\) −25.5673 + 11.9320i −0.814642 + 0.380184i
\(986\) −18.5457 6.02588i −0.590617 0.191903i
\(987\) 17.9467 + 58.0409i 0.571249 + 1.84746i
\(988\) −0.230965 0.0365813i −0.00734798 0.00116381i
\(989\) −3.29155 + 1.90038i −0.104665 + 0.0604284i
\(990\) −35.7070 2.08042i −1.13484 0.0661199i
\(991\) −23.2014 + 40.1859i −0.737015 + 1.27655i 0.216818 + 0.976212i \(0.430432\pi\)
−0.953833 + 0.300336i \(0.902901\pi\)
\(992\) 2.28199 + 5.94478i 0.0724532 + 0.188747i
\(993\) −8.25330 4.20527i −0.261911 0.133450i
\(994\) −5.59035 + 8.34508i −0.177315 + 0.264690i
\(995\) −25.0497 + 21.0326i −0.794129 + 0.666777i
\(996\) −2.02504 + 19.2669i −0.0641657 + 0.610496i
\(997\) 2.99170 57.0850i 0.0947480 1.80790i −0.377051 0.926192i \(-0.623062\pi\)
0.471799 0.881706i \(-0.343605\pi\)
\(998\) 20.9527 + 32.2643i 0.663246 + 1.02131i
\(999\) −10.6589 4.74567i −0.337234 0.150146i
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 770.2.bv.a.3.3 768
5.2 odd 4 inner 770.2.bv.a.157.22 yes 768
7.5 odd 6 inner 770.2.bv.a.663.46 yes 768
11.4 even 5 inner 770.2.bv.a.213.22 yes 768
35.12 even 12 inner 770.2.bv.a.47.22 yes 768
55.37 odd 20 inner 770.2.bv.a.367.46 yes 768
77.26 odd 30 inner 770.2.bv.a.103.22 yes 768
385.257 even 60 inner 770.2.bv.a.257.3 yes 768
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
770.2.bv.a.3.3 768 1.1 even 1 trivial
770.2.bv.a.47.22 yes 768 35.12 even 12 inner
770.2.bv.a.103.22 yes 768 77.26 odd 30 inner
770.2.bv.a.157.22 yes 768 5.2 odd 4 inner
770.2.bv.a.213.22 yes 768 11.4 even 5 inner
770.2.bv.a.257.3 yes 768 385.257 even 60 inner
770.2.bv.a.367.46 yes 768 55.37 odd 20 inner
770.2.bv.a.663.46 yes 768 7.5 odd 6 inner