Properties

Label 672.2.cj.a.205.20
Level $672$
Weight $2$
Character 672.205
Analytic conductor $5.366$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [672,2,Mod(37,672)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(672, base_ring=CyclotomicField(24))
 
chi = DirichletCharacter(H, H._module([0, 3, 0, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("672.37");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 672 = 2^{5} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 672.cj (of order \(24\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(5.36594701583\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(64\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 205.20
Character \(\chi\) \(=\) 672.205
Dual form 672.2.cj.a.613.20

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.789926 - 1.17304i) q^{2} +(0.991445 - 0.130526i) q^{3} +(-0.752034 + 1.85323i) q^{4} +(-0.395684 + 3.00552i) q^{5} +(-0.936280 - 1.05990i) q^{6} +(-0.490433 + 2.59990i) q^{7} +(2.76795 - 0.581746i) q^{8} +(0.965926 - 0.258819i) q^{9} +O(q^{10})\) \(q+(-0.789926 - 1.17304i) q^{2} +(0.991445 - 0.130526i) q^{3} +(-0.752034 + 1.85323i) q^{4} +(-0.395684 + 3.00552i) q^{5} +(-0.936280 - 1.05990i) q^{6} +(-0.490433 + 2.59990i) q^{7} +(2.76795 - 0.581746i) q^{8} +(0.965926 - 0.258819i) q^{9} +(3.83815 - 1.90999i) q^{10} +(0.0333425 - 0.0434528i) q^{11} +(-0.503706 + 1.93553i) q^{12} +(-5.50496 - 2.28023i) q^{13} +(3.43718 - 1.47843i) q^{14} +3.03145i q^{15} +(-2.86889 - 2.78738i) q^{16} +(1.25352 - 0.723718i) q^{17} +(-1.06661 - 0.928619i) q^{18} +(-1.72294 + 1.32206i) q^{19} +(-5.27234 - 2.99355i) q^{20} +(-0.146882 + 2.64167i) q^{21} +(-0.0773099 - 0.00478753i) q^{22} +(-5.45895 + 1.46272i) q^{23} +(2.66834 - 0.938060i) q^{24} +(-4.04696 - 1.08438i) q^{25} +(1.67372 + 8.25874i) q^{26} +(0.923880 - 0.382683i) q^{27} +(-4.44938 - 2.86410i) q^{28} +(-2.71583 + 6.55660i) q^{29} +(3.55601 - 2.39462i) q^{30} +(-0.549252 - 0.951333i) q^{31} +(-1.00349 + 5.56714i) q^{32} +(0.0273856 - 0.0474332i) q^{33} +(-1.83913 - 0.898738i) q^{34} +(-7.61999 - 2.50274i) q^{35} +(-0.246759 + 1.98472i) q^{36} +(-0.780009 + 5.92476i) q^{37} +(2.91182 + 0.976746i) q^{38} +(-5.75550 - 1.54218i) q^{39} +(0.653214 + 8.54933i) q^{40} +(8.10973 + 8.10973i) q^{41} +(3.21481 - 1.91443i) q^{42} +(-4.18902 - 10.1132i) q^{43} +(0.0554532 + 0.0944693i) q^{44} +(0.395684 + 3.00552i) q^{45} +(6.02800 + 5.24812i) q^{46} +(1.46752 + 0.847273i) q^{47} +(-3.20817 - 2.38907i) q^{48} +(-6.51895 - 2.55015i) q^{49} +(1.92478 + 5.60381i) q^{50} +(1.14833 - 0.881143i) q^{51} +(8.36570 - 8.48713i) q^{52} +(1.28559 - 1.67541i) q^{53} +(-1.17870 - 0.781454i) q^{54} +(0.117405 + 0.117405i) q^{55} +(0.154986 + 7.48171i) q^{56} +(-1.53564 + 1.53564i) q^{57} +(9.83644 - 1.99345i) q^{58} +(5.14906 + 3.95101i) q^{59} +(-5.61797 - 2.27976i) q^{60} +(-5.91811 - 7.71263i) q^{61} +(-0.682081 + 1.39578i) q^{62} +(0.199182 + 2.63824i) q^{63} +(7.32314 - 3.22049i) q^{64} +(9.03151 - 15.6430i) q^{65} +(-0.0772734 + 0.00534440i) q^{66} +(4.91493 - 0.647063i) q^{67} +(0.398525 + 2.86731i) q^{68} +(-5.22133 + 2.16275i) q^{69} +(3.08342 + 10.9155i) q^{70} +(5.34650 - 5.34650i) q^{71} +(2.52307 - 1.27832i) q^{72} +(-2.99481 + 11.1768i) q^{73} +(7.56611 - 3.76514i) q^{74} +(-4.15388 - 0.546868i) q^{75} +(-1.15436 - 4.18723i) q^{76} +(0.0966207 + 0.107998i) q^{77} +(2.73738 + 7.96963i) q^{78} +(-1.74181 - 1.00564i) q^{79} +(9.51270 - 7.51958i) q^{80} +(0.866025 - 0.500000i) q^{81} +(3.10693 - 15.9191i) q^{82} +(11.7531 + 4.86828i) q^{83} +(-4.78515 - 2.25883i) q^{84} +(1.67915 + 4.05383i) q^{85} +(-8.55414 + 12.9026i) q^{86} +(-1.83679 + 6.85499i) q^{87} +(0.0670121 - 0.139672i) q^{88} +(1.57543 + 5.87957i) q^{89} +(3.21303 - 2.83829i) q^{90} +(8.62819 - 13.1941i) q^{91} +(1.39457 - 11.2167i) q^{92} +(-0.668727 - 0.871502i) q^{93} +(-0.165349 - 2.39074i) q^{94} +(-3.29174 - 5.70145i) q^{95} +(-0.268248 + 5.65049i) q^{96} -4.49230 q^{97} +(2.15807 + 9.66141i) q^{98} +(0.0209600 - 0.0506019i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q+O(q^{10}) \) Copy content Toggle raw display \( 512 q - 64 q^{14} + 8 q^{16} + 8 q^{18} + 64 q^{20} + 16 q^{22} + 16 q^{23} - 40 q^{28} + 96 q^{31} + 48 q^{35} - 80 q^{38} + 64 q^{40} - 32 q^{43} - 8 q^{44} - 48 q^{50} + 24 q^{52} + 32 q^{53} - 32 q^{58} + 64 q^{59} - 48 q^{60} - 48 q^{64} + 48 q^{66} - 16 q^{67} + 72 q^{70} - 128 q^{71} - 144 q^{74} - 48 q^{78} + 24 q^{80} + 40 q^{82} - 88 q^{88} + 48 q^{91} + 128 q^{92} - 24 q^{94} - 40 q^{96} - 88 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(421\) \(449\) \(577\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{8}\right)\) \(1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.789926 1.17304i −0.558562 0.829463i
\(3\) 0.991445 0.130526i 0.572411 0.0753593i
\(4\) −0.752034 + 1.85323i −0.376017 + 0.926613i
\(5\) −0.395684 + 3.00552i −0.176955 + 1.34411i 0.640429 + 0.768017i \(0.278756\pi\)
−0.817385 + 0.576092i \(0.804577\pi\)
\(6\) −0.936280 1.05990i −0.382235 0.432701i
\(7\) −0.490433 + 2.59990i −0.185366 + 0.982670i
\(8\) 2.76795 0.581746i 0.978620 0.205678i
\(9\) 0.965926 0.258819i 0.321975 0.0862730i
\(10\) 3.83815 1.90999i 1.21373 0.603991i
\(11\) 0.0333425 0.0434528i 0.0100532 0.0131015i −0.788300 0.615291i \(-0.789038\pi\)
0.798353 + 0.602190i \(0.205705\pi\)
\(12\) −0.503706 + 1.93553i −0.145407 + 0.558740i
\(13\) −5.50496 2.28023i −1.52680 0.632422i −0.547862 0.836569i \(-0.684558\pi\)
−0.978940 + 0.204146i \(0.934558\pi\)
\(14\) 3.43718 1.47843i 0.918626 0.395127i
\(15\) 3.03145i 0.782718i
\(16\) −2.86889 2.78738i −0.717222 0.696845i
\(17\) 1.25352 0.723718i 0.304022 0.175527i −0.340226 0.940344i \(-0.610504\pi\)
0.644248 + 0.764816i \(0.277170\pi\)
\(18\) −1.06661 0.928619i −0.251403 0.218878i
\(19\) −1.72294 + 1.32206i −0.395270 + 0.303301i −0.787205 0.616692i \(-0.788473\pi\)
0.391935 + 0.919993i \(0.371806\pi\)
\(20\) −5.27234 2.99355i −1.17893 0.669377i
\(21\) −0.146882 + 2.64167i −0.0320523 + 0.576460i
\(22\) −0.0773099 0.00478753i −0.0164825 0.00102070i
\(23\) −5.45895 + 1.46272i −1.13827 + 0.304999i −0.778255 0.627948i \(-0.783895\pi\)
−0.360015 + 0.932946i \(0.617228\pi\)
\(24\) 2.66834 0.938060i 0.544673 0.191481i
\(25\) −4.04696 1.08438i −0.809392 0.216876i
\(26\) 1.67372 + 8.25874i 0.328243 + 1.61967i
\(27\) 0.923880 0.382683i 0.177801 0.0736475i
\(28\) −4.44938 2.86410i −0.840853 0.541263i
\(29\) −2.71583 + 6.55660i −0.504317 + 1.21753i 0.442794 + 0.896624i \(0.353987\pi\)
−0.947111 + 0.320906i \(0.896013\pi\)
\(30\) 3.55601 2.39462i 0.649236 0.437197i
\(31\) −0.549252 0.951333i −0.0986486 0.170864i 0.812477 0.582993i \(-0.198119\pi\)
−0.911126 + 0.412129i \(0.864785\pi\)
\(32\) −1.00349 + 5.56714i −0.177394 + 0.984140i
\(33\) 0.0273856 0.0474332i 0.00476721 0.00825706i
\(34\) −1.83913 0.898738i −0.315409 0.154132i
\(35\) −7.61999 2.50274i −1.28801 0.423041i
\(36\) −0.246759 + 1.98472i −0.0411266 + 0.330787i
\(37\) −0.780009 + 5.92476i −0.128233 + 0.974024i 0.799471 + 0.600705i \(0.205113\pi\)
−0.927703 + 0.373319i \(0.878220\pi\)
\(38\) 2.91182 + 0.976746i 0.472360 + 0.158449i
\(39\) −5.75550 1.54218i −0.921617 0.246947i
\(40\) 0.653214 + 8.54933i 0.103282 + 1.35177i
\(41\) 8.10973 + 8.10973i 1.26653 + 1.26653i 0.947870 + 0.318658i \(0.103232\pi\)
0.318658 + 0.947870i \(0.396768\pi\)
\(42\) 3.21481 1.91443i 0.496055 0.295402i
\(43\) −4.18902 10.1132i −0.638820 1.54225i −0.828253 0.560354i \(-0.810665\pi\)
0.189433 0.981894i \(-0.439335\pi\)
\(44\) 0.0554532 + 0.0944693i 0.00835988 + 0.0142418i
\(45\) 0.395684 + 3.00552i 0.0589851 + 0.448037i
\(46\) 6.02800 + 5.24812i 0.888780 + 0.773793i
\(47\) 1.46752 + 0.847273i 0.214060 + 0.123587i 0.603197 0.797592i \(-0.293893\pi\)
−0.389137 + 0.921180i \(0.627227\pi\)
\(48\) −3.20817 2.38907i −0.463060 0.344832i
\(49\) −6.51895 2.55015i −0.931279 0.364307i
\(50\) 1.92478 + 5.60381i 0.272205 + 0.792499i
\(51\) 1.14833 0.881143i 0.160798 0.123385i
\(52\) 8.36570 8.48713i 1.16011 1.17695i
\(53\) 1.28559 1.67541i 0.176589 0.230135i −0.696670 0.717392i \(-0.745336\pi\)
0.873259 + 0.487257i \(0.162002\pi\)
\(54\) −1.17870 0.781454i −0.160401 0.106342i
\(55\) 0.117405 + 0.117405i 0.0158309 + 0.0158309i
\(56\) 0.154986 + 7.48171i 0.0207109 + 0.999786i
\(57\) −1.53564 + 1.53564i −0.203400 + 0.203400i
\(58\) 9.83644 1.99345i 1.29159 0.261753i
\(59\) 5.14906 + 3.95101i 0.670351 + 0.514378i 0.886940 0.461885i \(-0.152827\pi\)
−0.216589 + 0.976263i \(0.569493\pi\)
\(60\) −5.61797 2.27976i −0.725277 0.294316i
\(61\) −5.91811 7.71263i −0.757736 0.987501i −0.999851 0.0172534i \(-0.994508\pi\)
0.242115 0.970248i \(-0.422159\pi\)
\(62\) −0.682081 + 1.39578i −0.0866243 + 0.177264i
\(63\) 0.199182 + 2.63824i 0.0250946 + 0.332387i
\(64\) 7.32314 3.22049i 0.915393 0.402562i
\(65\) 9.03151 15.6430i 1.12022 1.94028i
\(66\) −0.0772734 + 0.00534440i −0.00951170 + 0.000657851i
\(67\) 4.91493 0.647063i 0.600455 0.0790514i 0.175830 0.984421i \(-0.443739\pi\)
0.424625 + 0.905369i \(0.360406\pi\)
\(68\) 0.398525 + 2.86731i 0.0483283 + 0.347712i
\(69\) −5.22133 + 2.16275i −0.628574 + 0.260364i
\(70\) 3.08342 + 10.9155i 0.368539 + 1.30465i
\(71\) 5.34650 5.34650i 0.634512 0.634512i −0.314684 0.949196i \(-0.601899\pi\)
0.949196 + 0.314684i \(0.101899\pi\)
\(72\) 2.52307 1.27832i 0.297347 0.150652i
\(73\) −2.99481 + 11.1768i −0.350516 + 1.30814i 0.535518 + 0.844524i \(0.320117\pi\)
−0.886034 + 0.463621i \(0.846550\pi\)
\(74\) 7.56611 3.76514i 0.879543 0.437688i
\(75\) −4.15388 0.546868i −0.479648 0.0631469i
\(76\) −1.15436 4.18723i −0.132415 0.480309i
\(77\) 0.0966207 + 0.107998i 0.0110110 + 0.0123075i
\(78\) 2.73738 + 7.96963i 0.309947 + 0.902382i
\(79\) −1.74181 1.00564i −0.195969 0.113143i 0.398805 0.917036i \(-0.369425\pi\)
−0.594774 + 0.803893i \(0.702758\pi\)
\(80\) 9.51270 7.51958i 1.06355 0.840715i
\(81\) 0.866025 0.500000i 0.0962250 0.0555556i
\(82\) 3.10693 15.9191i 0.343104 1.75797i
\(83\) 11.7531 + 4.86828i 1.29007 + 0.534364i 0.919006 0.394244i \(-0.128994\pi\)
0.371062 + 0.928608i \(0.378994\pi\)
\(84\) −4.78515 2.25883i −0.522103 0.246459i
\(85\) 1.67915 + 4.05383i 0.182130 + 0.439700i
\(86\) −8.55414 + 12.9026i −0.922417 + 1.39132i
\(87\) −1.83679 + 6.85499i −0.196925 + 0.734932i
\(88\) 0.0670121 0.139672i 0.00714351 0.0148891i
\(89\) 1.57543 + 5.87957i 0.166995 + 0.623233i 0.997777 + 0.0666361i \(0.0212267\pi\)
−0.830782 + 0.556597i \(0.812107\pi\)
\(90\) 3.21303 2.83829i 0.338683 0.299182i
\(91\) 8.62819 13.1941i 0.904480 1.38311i
\(92\) 1.39457 11.2167i 0.145394 1.16942i
\(93\) −0.668727 0.871502i −0.0693438 0.0903706i
\(94\) −0.165349 2.39074i −0.0170544 0.246586i
\(95\) −3.29174 5.70145i −0.337725 0.584957i
\(96\) −0.268248 + 5.65049i −0.0273780 + 0.576701i
\(97\) −4.49230 −0.456124 −0.228062 0.973647i \(-0.573239\pi\)
−0.228062 + 0.973647i \(0.573239\pi\)
\(98\) 2.15807 + 9.66141i 0.217998 + 0.975949i
\(99\) 0.0209600 0.0506019i 0.00210656 0.00508568i
\(100\) 5.05305 6.68443i 0.505305 0.668443i
\(101\) 2.99543 + 2.29847i 0.298056 + 0.228707i 0.746953 0.664877i \(-0.231516\pi\)
−0.448897 + 0.893584i \(0.648183\pi\)
\(102\) −1.94071 0.650994i −0.192159 0.0644581i
\(103\) 4.12699 + 15.4021i 0.406644 + 1.51762i 0.801003 + 0.598661i \(0.204300\pi\)
−0.394358 + 0.918957i \(0.629033\pi\)
\(104\) −16.5640 3.10908i −1.62423 0.304871i
\(105\) −7.88148 1.48672i −0.769153 0.145089i
\(106\) −2.98083 0.184592i −0.289524 0.0179292i
\(107\) −14.5895 1.92074i −1.41042 0.185685i −0.613463 0.789723i \(-0.710224\pi\)
−0.796956 + 0.604038i \(0.793558\pi\)
\(108\) 0.0144095 + 1.99995i 0.00138655 + 0.192445i
\(109\) 0.548369 + 4.16528i 0.0525243 + 0.398961i 0.997432 + 0.0716238i \(0.0228181\pi\)
−0.944907 + 0.327338i \(0.893849\pi\)
\(110\) 0.0449793 0.230462i 0.00428861 0.0219737i
\(111\) 5.97588i 0.567205i
\(112\) 8.65390 6.09180i 0.817717 0.575621i
\(113\) 17.9157i 1.68537i 0.538407 + 0.842685i \(0.319026\pi\)
−0.538407 + 0.842685i \(0.680974\pi\)
\(114\) 3.01440 + 0.588321i 0.282325 + 0.0551013i
\(115\) −2.23622 16.9858i −0.208529 1.58393i
\(116\) −10.1085 9.96384i −0.938547 0.925119i
\(117\) −5.90755 0.777744i −0.546154 0.0719025i
\(118\) 0.567311 9.16105i 0.0522252 0.843343i
\(119\) 1.26683 + 3.61395i 0.116130 + 0.331290i
\(120\) 1.76354 + 8.39093i 0.160988 + 0.765984i
\(121\) 2.84623 + 10.6223i 0.258748 + 0.965662i
\(122\) −4.37234 + 13.0346i −0.395853 + 1.18009i
\(123\) 9.09889 + 6.98182i 0.820419 + 0.629530i
\(124\) 2.17609 0.302453i 0.195419 0.0271611i
\(125\) −0.939997 + 2.26935i −0.0840759 + 0.202977i
\(126\) 2.93742 2.31766i 0.261686 0.206474i
\(127\) 13.1408 1.16605 0.583027 0.812453i \(-0.301868\pi\)
0.583027 + 0.812453i \(0.301868\pi\)
\(128\) −9.56250 6.04637i −0.845214 0.534429i
\(129\) −5.47322 9.47990i −0.481890 0.834659i
\(130\) −25.4841 + 1.76254i −2.23510 + 0.154585i
\(131\) 7.51840 + 9.79817i 0.656886 + 0.856070i 0.996422 0.0845230i \(-0.0269366\pi\)
−0.339536 + 0.940593i \(0.610270\pi\)
\(132\) 0.0673095 + 0.0864230i 0.00585854 + 0.00752215i
\(133\) −2.59224 5.12786i −0.224775 0.444641i
\(134\) −4.64146 5.25427i −0.400961 0.453900i
\(135\) 0.784598 + 2.92816i 0.0675275 + 0.252016i
\(136\) 3.04866 2.73245i 0.261420 0.234305i
\(137\) 4.61472 17.2224i 0.394262 1.47141i −0.428771 0.903413i \(-0.641053\pi\)
0.823033 0.567993i \(-0.192280\pi\)
\(138\) 6.66144 + 4.41641i 0.567060 + 0.375949i
\(139\) −1.35034 3.26000i −0.114534 0.276510i 0.856209 0.516629i \(-0.172813\pi\)
−0.970743 + 0.240119i \(0.922813\pi\)
\(140\) 10.3686 12.2394i 0.876311 1.03442i
\(141\) 1.56556 + 0.648475i 0.131844 + 0.0546114i
\(142\) −10.4950 2.04831i −0.880719 0.171890i
\(143\) −0.282632 + 0.163178i −0.0236349 + 0.0136456i
\(144\) −3.49256 1.94988i −0.291047 0.162490i
\(145\) −18.6314 10.7568i −1.54725 0.893306i
\(146\) 15.4765 5.31581i 1.28084 0.439940i
\(147\) −6.79604 1.67744i −0.560528 0.138353i
\(148\) −10.3933 5.90115i −0.854325 0.485072i
\(149\) −1.90122 0.250300i −0.155754 0.0205054i 0.0522460 0.998634i \(-0.483362\pi\)
−0.208000 + 0.978129i \(0.566695\pi\)
\(150\) 2.63976 + 5.30464i 0.215535 + 0.433122i
\(151\) 3.48383 13.0018i 0.283510 1.05807i −0.666412 0.745584i \(-0.732171\pi\)
0.949921 0.312489i \(-0.101163\pi\)
\(152\) −3.99992 + 4.66172i −0.324436 + 0.378115i
\(153\) 1.02349 1.02349i 0.0827444 0.0827444i
\(154\) 0.0503624 0.198650i 0.00405832 0.0160077i
\(155\) 3.07658 1.27436i 0.247117 0.102359i
\(156\) 7.18634 9.50646i 0.575368 0.761126i
\(157\) 0.111712 0.0147071i 0.00891556 0.00117376i −0.126067 0.992022i \(-0.540235\pi\)
0.134983 + 0.990848i \(0.456902\pi\)
\(158\) 0.196254 + 2.83759i 0.0156131 + 0.225747i
\(159\) 1.05590 1.82888i 0.0837385 0.145039i
\(160\) −16.3351 5.21884i −1.29140 0.412585i
\(161\) −1.12568 14.9101i −0.0887161 1.17508i
\(162\) −1.27061 0.620917i −0.0998289 0.0487839i
\(163\) −7.25210 9.45112i −0.568028 0.740269i 0.417705 0.908583i \(-0.362834\pi\)
−0.985733 + 0.168314i \(0.946168\pi\)
\(164\) −21.1280 + 8.93037i −1.64982 + 0.697344i
\(165\) 0.131725 + 0.101076i 0.0102548 + 0.00786879i
\(166\) −3.57338 17.6324i −0.277348 1.36854i
\(167\) 13.4030 13.4030i 1.03715 1.03715i 0.0378722 0.999283i \(-0.487942\pi\)
0.999283 0.0378722i \(-0.0120580\pi\)
\(168\) 1.13022 + 7.39747i 0.0871983 + 0.570727i
\(169\) 15.9128 + 15.9128i 1.22406 + 1.22406i
\(170\) 3.42889 5.17194i 0.262984 0.396669i
\(171\) −1.32206 + 1.72294i −0.101100 + 0.131757i
\(172\) 21.8923 0.157733i 1.66927 0.0120270i
\(173\) −0.881660 + 0.676521i −0.0670313 + 0.0514350i −0.641734 0.766928i \(-0.721785\pi\)
0.574702 + 0.818363i \(0.305118\pi\)
\(174\) 9.49209 3.26031i 0.719594 0.247164i
\(175\) 4.80404 9.98987i 0.363151 0.755163i
\(176\) −0.216776 + 0.0317231i −0.0163401 + 0.00239122i
\(177\) 5.62072 + 3.24512i 0.422479 + 0.243918i
\(178\) 5.65249 6.49246i 0.423672 0.486630i
\(179\) −1.66881 12.6759i −0.124733 0.947440i −0.933316 0.359057i \(-0.883098\pi\)
0.808583 0.588382i \(-0.200235\pi\)
\(180\) −5.86747 1.52696i −0.437336 0.113813i
\(181\) 6.94050 + 16.7558i 0.515883 + 1.24545i 0.940412 + 0.340037i \(0.110440\pi\)
−0.424529 + 0.905414i \(0.639560\pi\)
\(182\) −22.2927 + 0.301138i −1.65245 + 0.0223219i
\(183\) −6.87418 6.87418i −0.508154 0.508154i
\(184\) −14.2592 + 7.22447i −1.05120 + 0.532595i
\(185\) −17.4983 4.68867i −1.28650 0.344718i
\(186\) −0.494060 + 1.47286i −0.0362262 + 0.107996i
\(187\) 0.0103478 0.0785995i 0.000756707 0.00574776i
\(188\) −2.67381 + 2.08247i −0.195008 + 0.151880i
\(189\) 0.541838 + 2.58967i 0.0394129 + 0.188371i
\(190\) −4.08779 + 8.36506i −0.296560 + 0.606865i
\(191\) 5.98998 10.3749i 0.433419 0.750704i −0.563746 0.825948i \(-0.690640\pi\)
0.997165 + 0.0752439i \(0.0239735\pi\)
\(192\) 6.84013 4.14880i 0.493644 0.299414i
\(193\) −5.46018 9.45730i −0.393032 0.680752i 0.599816 0.800138i \(-0.295241\pi\)
−0.992848 + 0.119387i \(0.961907\pi\)
\(194\) 3.54858 + 5.26964i 0.254773 + 0.378338i
\(195\) 6.91242 16.6881i 0.495009 1.19506i
\(196\) 9.62848 10.1633i 0.687749 0.725949i
\(197\) −6.30762 + 2.61270i −0.449399 + 0.186147i −0.595892 0.803064i \(-0.703201\pi\)
0.146493 + 0.989212i \(0.453201\pi\)
\(198\) −0.0759148 + 0.0153849i −0.00539503 + 0.00109336i
\(199\) 19.6773 + 5.27252i 1.39489 + 0.373759i 0.876506 0.481390i \(-0.159868\pi\)
0.518382 + 0.855149i \(0.326535\pi\)
\(200\) −11.8326 0.647210i −0.836693 0.0457647i
\(201\) 4.78843 1.28306i 0.337750 0.0904997i
\(202\) 0.330029 5.32937i 0.0232208 0.374973i
\(203\) −15.7146 10.2765i −1.10295 0.721266i
\(204\) 0.769375 + 2.79076i 0.0538670 + 0.195392i
\(205\) −27.5829 + 21.1651i −1.92647 + 1.47823i
\(206\) 14.8073 17.0077i 1.03167 1.18498i
\(207\) −4.89436 + 2.82576i −0.340182 + 0.196404i
\(208\) 9.43726 + 21.8861i 0.654357 + 1.51753i
\(209\) 0.118948i 0.00822777i
\(210\) 4.48180 + 10.4197i 0.309274 + 0.719026i
\(211\) −8.13565 3.36990i −0.560082 0.231993i 0.0846390 0.996412i \(-0.473026\pi\)
−0.644721 + 0.764418i \(0.723026\pi\)
\(212\) 2.13810 + 3.64244i 0.146846 + 0.250164i
\(213\) 4.60290 5.99861i 0.315385 0.411018i
\(214\) 9.27151 + 18.6313i 0.633787 + 1.27361i
\(215\) 32.0529 8.58856i 2.18599 0.585735i
\(216\) 2.33463 1.59671i 0.158852 0.108643i
\(217\) 2.74274 0.961436i 0.186189 0.0652665i
\(218\) 4.45286 3.93352i 0.301586 0.266412i
\(219\) −1.51033 + 11.4721i −0.102058 + 0.775211i
\(220\) −0.305871 + 0.129286i −0.0206218 + 0.00871644i
\(221\) −8.55081 + 1.12574i −0.575190 + 0.0757252i
\(222\) 7.00993 4.72050i 0.470476 0.316819i
\(223\) −1.40474 −0.0940686 −0.0470343 0.998893i \(-0.514977\pi\)
−0.0470343 + 0.998893i \(0.514977\pi\)
\(224\) −13.9818 5.33928i −0.934202 0.356746i
\(225\) −4.18972 −0.279315
\(226\) 21.0158 14.1521i 1.39795 0.941383i
\(227\) −27.9591 + 3.68089i −1.85571 + 0.244309i −0.973849 0.227197i \(-0.927044\pi\)
−0.881863 + 0.471506i \(0.843711\pi\)
\(228\) −1.69103 4.00074i −0.111991 0.264955i
\(229\) −3.54030 + 26.8913i −0.233950 + 1.77703i 0.322920 + 0.946426i \(0.395335\pi\)
−0.556870 + 0.830600i \(0.687998\pi\)
\(230\) −18.1585 + 16.0407i −1.19734 + 1.05769i
\(231\) 0.109891 + 0.0944625i 0.00723028 + 0.00621517i
\(232\) −3.70302 + 19.7283i −0.243115 + 1.29523i
\(233\) −13.3715 + 3.58288i −0.875997 + 0.234723i −0.668679 0.743551i \(-0.733140\pi\)
−0.207317 + 0.978274i \(0.566473\pi\)
\(234\) 3.75421 + 7.54414i 0.245420 + 0.493176i
\(235\) −3.12717 + 4.07541i −0.203994 + 0.265850i
\(236\) −11.1944 + 6.57107i −0.728693 + 0.427740i
\(237\) −1.85817 0.769681i −0.120701 0.0499961i
\(238\) 3.23860 4.34079i 0.209927 0.281372i
\(239\) 6.32412i 0.409074i 0.978859 + 0.204537i \(0.0655688\pi\)
−0.978859 + 0.204537i \(0.934431\pi\)
\(240\) 8.44981 8.69691i 0.545433 0.561383i
\(241\) 21.5309 12.4309i 1.38693 0.800742i 0.393958 0.919128i \(-0.371105\pi\)
0.992968 + 0.118386i \(0.0377721\pi\)
\(242\) 10.2120 11.7296i 0.656454 0.754004i
\(243\) 0.793353 0.608761i 0.0508936 0.0390521i
\(244\) 18.7439 5.16743i 1.19995 0.330811i
\(245\) 10.2440 18.5838i 0.654464 1.18727i
\(246\) 1.00249 16.1885i 0.0639166 1.03214i
\(247\) 12.4993 3.34919i 0.795314 0.213104i
\(248\) −2.07374 2.31372i −0.131683 0.146921i
\(249\) 12.2880 + 3.29255i 0.778718 + 0.208657i
\(250\) 3.40457 0.689969i 0.215324 0.0436375i
\(251\) 10.6021 4.39155i 0.669201 0.277192i −0.0221037 0.999756i \(-0.507036\pi\)
0.691304 + 0.722564i \(0.257036\pi\)
\(252\) −5.03905 1.61492i −0.317430 0.101730i
\(253\) −0.118456 + 0.285978i −0.00744726 + 0.0179793i
\(254\) −10.3802 15.4146i −0.651313 0.967199i
\(255\) 2.19392 + 3.79998i 0.137389 + 0.237964i
\(256\) 0.461044 + 15.9934i 0.0288153 + 0.999585i
\(257\) 5.59207 9.68574i 0.348823 0.604180i −0.637217 0.770684i \(-0.719915\pi\)
0.986041 + 0.166504i \(0.0532479\pi\)
\(258\) −6.79684 + 13.9087i −0.423153 + 0.865919i
\(259\) −15.0212 4.93364i −0.933374 0.306561i
\(260\) 22.1981 + 28.5015i 1.37667 + 1.76759i
\(261\) −0.926320 + 7.03610i −0.0573378 + 0.435523i
\(262\) 5.55464 16.5592i 0.343167 1.02303i
\(263\) 15.3843 + 4.12221i 0.948636 + 0.254186i 0.699783 0.714355i \(-0.253280\pi\)
0.248853 + 0.968541i \(0.419947\pi\)
\(264\) 0.0482079 0.147224i 0.00296699 0.00906103i
\(265\) 4.52678 + 4.52678i 0.278078 + 0.278078i
\(266\) −3.96749 + 7.09141i −0.243263 + 0.434803i
\(267\) 2.32939 + 5.62364i 0.142556 + 0.344161i
\(268\) −2.49705 + 9.59509i −0.152531 + 0.586114i
\(269\) 0.925429 + 7.02933i 0.0564244 + 0.428586i 0.996221 + 0.0868521i \(0.0276808\pi\)
−0.939797 + 0.341734i \(0.888986\pi\)
\(270\) 2.81507 3.23339i 0.171320 0.196778i
\(271\) −4.37607 2.52653i −0.265827 0.153475i 0.361163 0.932503i \(-0.382380\pi\)
−0.626990 + 0.779027i \(0.715713\pi\)
\(272\) −5.61348 1.41776i −0.340367 0.0859642i
\(273\) 6.83220 14.2074i 0.413504 0.859870i
\(274\) −23.8478 + 8.19115i −1.44070 + 0.494846i
\(275\) −0.182055 + 0.139696i −0.0109783 + 0.00842398i
\(276\) −0.0814356 11.3028i −0.00490185 0.680346i
\(277\) 16.5429 21.5592i 0.993969 1.29537i 0.0388175 0.999246i \(-0.487641\pi\)
0.955151 0.296119i \(-0.0956924\pi\)
\(278\) −2.75744 + 4.15916i −0.165380 + 0.249450i
\(279\) −0.776760 0.776760i −0.0465034 0.0465034i
\(280\) −22.5478 2.49458i −1.34749 0.149080i
\(281\) 4.31001 4.31001i 0.257114 0.257114i −0.566765 0.823879i \(-0.691805\pi\)
0.823879 + 0.566765i \(0.191805\pi\)
\(282\) −0.475988 2.34870i −0.0283447 0.139863i
\(283\) 4.22479 + 3.24180i 0.251138 + 0.192705i 0.726657 0.687001i \(-0.241073\pi\)
−0.475519 + 0.879705i \(0.657740\pi\)
\(284\) 5.88751 + 13.9290i 0.349360 + 0.826535i
\(285\) −4.00776 5.22302i −0.237399 0.309385i
\(286\) 0.414672 + 0.202640i 0.0245201 + 0.0119823i
\(287\) −25.0618 + 17.1072i −1.47935 + 1.00981i
\(288\) 0.471584 + 5.63716i 0.0277883 + 0.332173i
\(289\) −7.45246 + 12.9080i −0.438380 + 0.759297i
\(290\) 2.09924 + 30.3524i 0.123272 + 1.78235i
\(291\) −4.45387 + 0.586363i −0.261090 + 0.0343732i
\(292\) −18.4609 13.9554i −1.08034 0.816678i
\(293\) 9.30347 3.85362i 0.543515 0.225131i −0.0939961 0.995573i \(-0.529964\pi\)
0.637511 + 0.770441i \(0.279964\pi\)
\(294\) 3.40067 + 9.29707i 0.198331 + 0.542216i
\(295\) −13.9123 + 13.9123i −0.810003 + 0.810003i
\(296\) 1.28767 + 16.8532i 0.0748445 + 0.979574i
\(297\) 0.0141758 0.0529048i 0.000822564 0.00306985i
\(298\) 1.20821 + 2.42792i 0.0699897 + 0.140646i
\(299\) 33.3867 + 4.39544i 1.93080 + 0.254195i
\(300\) 4.13733 7.28680i 0.238869 0.420704i
\(301\) 28.3477 5.93120i 1.63394 0.341868i
\(302\) −18.0036 + 6.18381i −1.03599 + 0.355838i
\(303\) 3.26981 + 1.88783i 0.187846 + 0.108453i
\(304\) 8.62801 + 1.00965i 0.494850 + 0.0579073i
\(305\) 25.5222 14.7352i 1.46140 0.843737i
\(306\) −2.00908 0.392112i −0.114851 0.0224155i
\(307\) −1.39825 0.579174i −0.0798023 0.0330552i 0.342425 0.939545i \(-0.388752\pi\)
−0.422227 + 0.906490i \(0.638752\pi\)
\(308\) −0.272807 + 0.0978419i −0.0155446 + 0.00557506i
\(309\) 6.10207 + 14.7317i 0.347134 + 0.838057i
\(310\) −3.92514 2.60229i −0.222933 0.147800i
\(311\) 2.72325 10.1633i 0.154421 0.576309i −0.844733 0.535188i \(-0.820241\pi\)
0.999154 0.0411204i \(-0.0130927\pi\)
\(312\) −16.8281 0.920449i −0.952704 0.0521102i
\(313\) 0.845463 + 3.15531i 0.0477884 + 0.178349i 0.985695 0.168539i \(-0.0539050\pi\)
−0.937907 + 0.346888i \(0.887238\pi\)
\(314\) −0.105496 0.119424i −0.00595348 0.00673951i
\(315\) −8.00811 0.445266i −0.451206 0.0250879i
\(316\) 3.17357 2.47170i 0.178527 0.139044i
\(317\) −3.43471 4.47620i −0.192913 0.251409i 0.686875 0.726776i \(-0.258982\pi\)
−0.879788 + 0.475367i \(0.842315\pi\)
\(318\) −2.97943 + 0.206064i −0.167078 + 0.0115555i
\(319\) 0.194350 + 0.336624i 0.0108815 + 0.0188473i
\(320\) 6.78160 + 23.2842i 0.379103 + 1.30162i
\(321\) −14.7154 −0.821332
\(322\) −16.6009 + 13.0983i −0.925132 + 0.729942i
\(323\) −1.20294 + 2.90415i −0.0669332 + 0.161591i
\(324\) 0.275332 + 1.98096i 0.0152962 + 0.110053i
\(325\) 19.8057 + 15.1975i 1.09862 + 0.843004i
\(326\) −5.35790 + 15.9727i −0.296746 + 0.884644i
\(327\) 1.08736 + 4.05807i 0.0601309 + 0.224412i
\(328\) 27.1652 + 17.7296i 1.49995 + 0.978952i
\(329\) −2.92254 + 3.39987i −0.161125 + 0.187441i
\(330\) 0.0145132 0.234362i 0.000798924 0.0129012i
\(331\) −24.4869 3.22376i −1.34592 0.177194i −0.577108 0.816668i \(-0.695819\pi\)
−0.768813 + 0.639474i \(0.779152\pi\)
\(332\) −17.8607 + 18.1200i −0.980236 + 0.994463i
\(333\) 0.780009 + 5.92476i 0.0427442 + 0.324675i
\(334\) −26.3096 5.13484i −1.43960 0.280966i
\(335\) 15.0280i 0.821066i
\(336\) 7.78472 7.16924i 0.424692 0.391114i
\(337\) 15.2825i 0.832489i 0.909253 + 0.416244i \(0.136654\pi\)
−0.909253 + 0.416244i \(0.863346\pi\)
\(338\) 6.09638 31.2362i 0.331599 1.69903i
\(339\) 2.33847 + 17.7624i 0.127008 + 0.964724i
\(340\) −8.77545 + 0.0632265i −0.475915 + 0.00342894i
\(341\) −0.0596516 0.00785328i −0.00323031 0.000425279i
\(342\) 3.06540 + 0.189830i 0.165758 + 0.0102648i
\(343\) 9.82724 15.6979i 0.530621 0.847609i
\(344\) −17.4783 25.5559i −0.942369 1.37788i
\(345\) −4.43418 16.5486i −0.238728 0.890945i
\(346\) 1.49003 + 0.499818i 0.0801045 + 0.0268704i
\(347\) −4.44323 3.40941i −0.238525 0.183027i 0.482581 0.875851i \(-0.339699\pi\)
−0.721106 + 0.692824i \(0.756366\pi\)
\(348\) −11.3225 8.55918i −0.606951 0.458820i
\(349\) −5.89247 + 14.2257i −0.315417 + 0.761484i 0.684069 + 0.729417i \(0.260209\pi\)
−0.999486 + 0.0320662i \(0.989791\pi\)
\(350\) −15.5133 + 2.25594i −0.829222 + 0.120585i
\(351\) −5.95853 −0.318043
\(352\) 0.208449 + 0.229227i 0.0111104 + 0.0122178i
\(353\) 11.4302 + 19.7977i 0.608368 + 1.05372i 0.991510 + 0.130034i \(0.0415087\pi\)
−0.383142 + 0.923689i \(0.625158\pi\)
\(354\) −0.633299 9.15672i −0.0336595 0.486674i
\(355\) 13.9535 + 18.1845i 0.740574 + 0.965135i
\(356\) −12.0809 1.50202i −0.640289 0.0796069i
\(357\) 1.72771 + 3.41768i 0.0914399 + 0.180883i
\(358\) −13.5510 + 11.9706i −0.716195 + 0.632665i
\(359\) −2.89587 10.8075i −0.152838 0.570399i −0.999281 0.0379197i \(-0.987927\pi\)
0.846443 0.532480i \(-0.178740\pi\)
\(360\) 2.84369 + 8.08896i 0.149875 + 0.426325i
\(361\) −3.69688 + 13.7969i −0.194572 + 0.726154i
\(362\) 14.1728 21.3773i 0.744903 1.12357i
\(363\) 4.20837 + 10.1599i 0.220882 + 0.533257i
\(364\) 17.9629 + 25.9124i 0.941510 + 1.35818i
\(365\) −32.4071 13.4235i −1.69626 0.702616i
\(366\) −2.63358 + 13.4938i −0.137659 + 0.705330i
\(367\) −10.4452 + 6.03054i −0.545235 + 0.314791i −0.747198 0.664602i \(-0.768601\pi\)
0.201963 + 0.979393i \(0.435268\pi\)
\(368\) 19.7383 + 11.0198i 1.02893 + 0.574446i
\(369\) 9.93236 + 5.73445i 0.517058 + 0.298523i
\(370\) 8.32241 + 24.2299i 0.432661 + 1.25965i
\(371\) 3.72540 + 4.16407i 0.193413 + 0.216188i
\(372\) 2.11800 0.583902i 0.109813 0.0302739i
\(373\) −26.8005 3.52835i −1.38768 0.182691i −0.600601 0.799549i \(-0.705072\pi\)
−0.787075 + 0.616858i \(0.788405\pi\)
\(374\) −0.100374 + 0.0499494i −0.00519022 + 0.00258282i
\(375\) −0.635745 + 2.37263i −0.0328297 + 0.122522i
\(376\) 4.55493 + 1.49149i 0.234902 + 0.0769177i
\(377\) 29.9011 29.9011i 1.53999 1.53999i
\(378\) 2.60977 2.68125i 0.134232 0.137908i
\(379\) −9.99916 + 4.14179i −0.513623 + 0.212749i −0.624413 0.781094i \(-0.714662\pi\)
0.110790 + 0.993844i \(0.464662\pi\)
\(380\) 13.0416 1.81264i 0.669019 0.0929864i
\(381\) 13.0283 1.71521i 0.667462 0.0878731i
\(382\) −16.9018 + 1.16897i −0.864773 + 0.0598096i
\(383\) 3.01343 5.21942i 0.153979 0.266700i −0.778708 0.627387i \(-0.784124\pi\)
0.932687 + 0.360687i \(0.117458\pi\)
\(384\) −10.2699 4.74649i −0.524084 0.242218i
\(385\) −0.362821 + 0.247663i −0.0184911 + 0.0126221i
\(386\) −6.78064 + 13.8756i −0.345125 + 0.706247i
\(387\) −6.66377 8.68440i −0.338739 0.441453i
\(388\) 3.37836 8.32524i 0.171510 0.422650i
\(389\) 10.4476 + 8.01669i 0.529712 + 0.406462i 0.838692 0.544606i \(-0.183321\pi\)
−0.308980 + 0.951069i \(0.599988\pi\)
\(390\) −25.0360 + 5.07380i −1.26775 + 0.256922i
\(391\) −5.78429 + 5.78429i −0.292524 + 0.292524i
\(392\) −19.5277 3.26633i −0.986298 0.164974i
\(393\) 8.73300 + 8.73300i 0.440521 + 0.440521i
\(394\) 8.04735 + 5.33523i 0.405420 + 0.268785i
\(395\) 3.71167 4.83714i 0.186754 0.243383i
\(396\) 0.0780141 + 0.0768980i 0.00392036 + 0.00386427i
\(397\) 26.3338 20.2066i 1.32165 1.01414i 0.323974 0.946066i \(-0.394981\pi\)
0.997680 0.0680746i \(-0.0216856\pi\)
\(398\) −9.35876 27.2471i −0.469112 1.36578i
\(399\) −3.23938 4.74563i −0.162172 0.237579i
\(400\) 8.58770 + 14.3914i 0.429385 + 0.719568i
\(401\) 18.8684 + 10.8937i 0.942241 + 0.544003i 0.890662 0.454666i \(-0.150241\pi\)
0.0515789 + 0.998669i \(0.483575\pi\)
\(402\) −5.28757 4.60349i −0.263720 0.229601i
\(403\) 0.854356 + 6.48948i 0.0425585 + 0.323264i
\(404\) −6.51225 + 3.82267i −0.323997 + 0.190185i
\(405\) 1.16009 + 2.80070i 0.0576452 + 0.139168i
\(406\) 0.358666 + 26.5514i 0.0178003 + 1.31772i
\(407\) 0.231440 + 0.231440i 0.0114721 + 0.0114721i
\(408\) 2.66592 3.10700i 0.131983 0.153819i
\(409\) −5.79590 1.55301i −0.286589 0.0767912i 0.112661 0.993633i \(-0.464063\pi\)
−0.399250 + 0.916842i \(0.630729\pi\)
\(410\) 46.6158 + 15.6369i 2.30219 + 0.772251i
\(411\) 2.32727 17.6774i 0.114796 0.871960i
\(412\) −31.6473 3.93469i −1.55915 0.193848i
\(413\) −12.7975 + 11.4493i −0.629724 + 0.563385i
\(414\) 7.18091 + 3.50913i 0.352923 + 0.172464i
\(415\) −19.2822 + 33.3978i −0.946528 + 1.63943i
\(416\) 18.2185 28.3587i 0.893237 1.39040i
\(417\) −1.76430 3.05586i −0.0863981 0.149646i
\(418\) 0.139530 0.0939597i 0.00682463 0.00459572i
\(419\) 2.74284 6.62181i 0.133997 0.323496i −0.842612 0.538521i \(-0.818983\pi\)
0.976609 + 0.215025i \(0.0689832\pi\)
\(420\) 8.68238 13.4881i 0.423657 0.658151i
\(421\) −8.70106 + 3.60410i −0.424064 + 0.175653i −0.584501 0.811393i \(-0.698710\pi\)
0.160437 + 0.987046i \(0.448710\pi\)
\(422\) 2.47355 + 12.2054i 0.120410 + 0.594150i
\(423\) 1.63681 + 0.438581i 0.0795842 + 0.0213245i
\(424\) 2.58378 5.38533i 0.125479 0.261535i
\(425\) −5.85771 + 1.56957i −0.284141 + 0.0761353i
\(426\) −10.6725 0.660913i −0.517087 0.0320213i
\(427\) 22.9545 11.6040i 1.11085 0.561555i
\(428\) 14.5314 25.5931i 0.702400 1.23709i
\(429\) −0.258915 + 0.198673i −0.0125005 + 0.00959200i
\(430\) −35.3942 30.8150i −1.70686 1.48603i
\(431\) −3.96864 + 2.29130i −0.191163 + 0.110368i −0.592527 0.805551i \(-0.701870\pi\)
0.401364 + 0.915919i \(0.368536\pi\)
\(432\) −3.71719 1.47733i −0.178843 0.0710779i
\(433\) 16.1783i 0.777480i −0.921347 0.388740i \(-0.872910\pi\)
0.921347 0.388740i \(-0.127090\pi\)
\(434\) −3.29436 2.45787i −0.158134 0.117982i
\(435\) −19.8760 8.23292i −0.952983 0.394738i
\(436\) −8.13159 2.11618i −0.389433 0.101347i
\(437\) 7.47165 9.73725i 0.357418 0.465796i
\(438\) 14.6502 7.29042i 0.700015 0.348350i
\(439\) 29.2014 7.82450i 1.39371 0.373443i 0.517627 0.855606i \(-0.326815\pi\)
0.876081 + 0.482163i \(0.160149\pi\)
\(440\) 0.393273 + 0.256672i 0.0187485 + 0.0122364i
\(441\) −6.95685 0.776028i −0.331279 0.0369537i
\(442\) 8.07503 + 9.14117i 0.384090 + 0.434801i
\(443\) −4.71023 + 35.7777i −0.223790 + 1.69985i 0.398584 + 0.917132i \(0.369502\pi\)
−0.622374 + 0.782720i \(0.713832\pi\)
\(444\) −11.0747 4.49407i −0.525580 0.213279i
\(445\) −18.2945 + 2.40852i −0.867245 + 0.114175i
\(446\) 1.10964 + 1.64782i 0.0525431 + 0.0780264i
\(447\) −1.91762 −0.0907005
\(448\) 4.78145 + 20.6189i 0.225902 + 0.974150i
\(449\) 32.6589 1.54127 0.770633 0.637279i \(-0.219940\pi\)
0.770633 + 0.637279i \(0.219940\pi\)
\(450\) 3.30957 + 4.91470i 0.156014 + 0.231681i
\(451\) 0.622790 0.0819919i 0.0293260 0.00386085i
\(452\) −33.2019 13.4732i −1.56168 0.633728i
\(453\) 1.75694 13.3453i 0.0825484 0.627018i
\(454\) 26.4034 + 29.8895i 1.23918 + 1.40278i
\(455\) 36.2410 + 31.1529i 1.69900 + 1.46047i
\(456\) −3.35723 + 5.14393i −0.157216 + 0.240887i
\(457\) −13.8055 + 3.69916i −0.645792 + 0.173040i −0.566826 0.823838i \(-0.691829\pi\)
−0.0789667 + 0.996877i \(0.525162\pi\)
\(458\) 34.3411 17.0892i 1.60465 0.798526i
\(459\) 0.881143 1.14833i 0.0411282 0.0535994i
\(460\) 33.1602 + 8.62967i 1.54610 + 0.402360i
\(461\) −21.2208 8.78995i −0.988352 0.409389i −0.170839 0.985299i \(-0.554648\pi\)
−0.817513 + 0.575910i \(0.804648\pi\)
\(462\) 0.0240025 0.203524i 0.00111670 0.00946880i
\(463\) 23.4236i 1.08859i −0.838895 0.544294i \(-0.816798\pi\)
0.838895 0.544294i \(-0.183202\pi\)
\(464\) 26.0671 11.2401i 1.21014 0.521809i
\(465\) 2.88392 1.66503i 0.133739 0.0772141i
\(466\) 14.7654 + 12.8551i 0.683992 + 0.595499i
\(467\) −8.95190 + 6.86903i −0.414244 + 0.317861i −0.794771 0.606909i \(-0.792409\pi\)
0.380527 + 0.924770i \(0.375743\pi\)
\(468\) 5.88402 10.3631i 0.271989 0.479036i
\(469\) −0.728145 + 13.0957i −0.0336226 + 0.604702i
\(470\) 7.25084 + 0.449019i 0.334456 + 0.0207117i
\(471\) 0.108836 0.0291626i 0.00501491 0.00134374i
\(472\) 16.5509 + 7.94078i 0.761815 + 0.365504i
\(473\) −0.579120 0.155175i −0.0266280 0.00713494i
\(474\) 0.564955 + 2.78770i 0.0259492 + 0.128043i
\(475\) 8.40629 3.48200i 0.385707 0.159765i
\(476\) −7.65017 0.370097i −0.350645 0.0169634i
\(477\) 0.808153 1.95105i 0.0370028 0.0893326i
\(478\) 7.41843 4.99559i 0.339311 0.228493i
\(479\) 18.0114 + 31.1966i 0.822961 + 1.42541i 0.903468 + 0.428656i \(0.141013\pi\)
−0.0805065 + 0.996754i \(0.525654\pi\)
\(480\) −16.8765 3.04204i −0.770304 0.138849i
\(481\) 17.8037 30.8370i 0.811780 1.40604i
\(482\) −31.5897 15.4371i −1.43887 0.703140i
\(483\) −3.06221 14.6356i −0.139335 0.665943i
\(484\) −21.8260 2.71361i −0.992089 0.123346i
\(485\) 1.77753 13.5017i 0.0807136 0.613080i
\(486\) −1.34079 0.449757i −0.0608195 0.0204014i
\(487\) −32.3385 8.66507i −1.46540 0.392652i −0.564047 0.825743i \(-0.690756\pi\)
−0.901350 + 0.433091i \(0.857423\pi\)
\(488\) −20.8678 17.9054i −0.944643 0.810538i
\(489\) −8.42367 8.42367i −0.380932 0.380932i
\(490\) −29.8915 + 2.66324i −1.35036 + 0.120313i
\(491\) 7.81068 + 18.8567i 0.352491 + 0.850989i 0.996311 + 0.0858122i \(0.0273485\pi\)
−0.643820 + 0.765177i \(0.722651\pi\)
\(492\) −19.7816 + 11.6117i −0.891822 + 0.523497i
\(493\) 1.34079 + 10.1843i 0.0603861 + 0.458678i
\(494\) −13.8023 12.0166i −0.620993 0.540652i
\(495\) 0.143792 + 0.0830181i 0.00646295 + 0.00373138i
\(496\) −1.07598 + 4.26024i −0.0483130 + 0.191290i
\(497\) 11.2783 + 16.5224i 0.505899 + 0.741133i
\(498\) −5.84430 17.0151i −0.261889 0.762466i
\(499\) 22.1417 16.9899i 0.991197 0.760572i 0.0202320 0.999795i \(-0.493560\pi\)
0.970965 + 0.239223i \(0.0768929\pi\)
\(500\) −3.49871 3.44866i −0.156467 0.154229i
\(501\) 11.5389 15.0378i 0.515519 0.671838i
\(502\) −13.5263 8.96770i −0.603710 0.400248i
\(503\) −16.9919 16.9919i −0.757630 0.757630i 0.218260 0.975891i \(-0.429962\pi\)
−0.975891 + 0.218260i \(0.929962\pi\)
\(504\) 2.08611 + 7.18666i 0.0929229 + 0.320119i
\(505\) −8.09335 + 8.09335i −0.360149 + 0.360149i
\(506\) 0.429034 0.0869481i 0.0190729 0.00386531i
\(507\) 17.8537 + 13.6996i 0.792910 + 0.608422i
\(508\) −9.88231 + 24.3528i −0.438456 + 1.08048i
\(509\) 4.55308 + 5.93369i 0.201812 + 0.263006i 0.883285 0.468837i \(-0.155327\pi\)
−0.681473 + 0.731843i \(0.738660\pi\)
\(510\) 2.72448 5.57525i 0.120642 0.246876i
\(511\) −27.5898 13.2677i −1.22050 0.586927i
\(512\) 18.3966 13.1744i 0.813023 0.582231i
\(513\) −1.08586 + 1.88077i −0.0479419 + 0.0830378i
\(514\) −15.7791 + 1.09131i −0.695984 + 0.0481358i
\(515\) −47.9244 + 6.30937i −2.11180 + 0.278024i
\(516\) 21.6844 3.01390i 0.954604 0.132680i
\(517\) 0.0857473 0.0355177i 0.00377116 0.00156207i
\(518\) 6.07831 + 21.5177i 0.267066 + 0.945432i
\(519\) −0.785813 + 0.785813i −0.0344934 + 0.0344934i
\(520\) 15.8985 48.5532i 0.697197 2.12920i
\(521\) −5.89893 + 22.0151i −0.258437 + 0.964499i 0.707709 + 0.706504i \(0.249729\pi\)
−0.966146 + 0.257995i \(0.916938\pi\)
\(522\) 8.98533 4.47139i 0.393277 0.195707i
\(523\) 2.60532 + 0.342997i 0.113923 + 0.0149982i 0.187272 0.982308i \(-0.440035\pi\)
−0.0733493 + 0.997306i \(0.523369\pi\)
\(524\) −23.8123 + 6.56473i −1.04025 + 0.286782i
\(525\) 3.45900 10.5315i 0.150963 0.459630i
\(526\) −7.31694 21.3026i −0.319034 0.928837i
\(527\) −1.37699 0.795007i −0.0599828 0.0346311i
\(528\) −0.210780 + 0.0597466i −0.00917304 + 0.00260014i
\(529\) 7.74204 4.46987i 0.336610 0.194342i
\(530\) 1.73426 8.88591i 0.0753316 0.385979i
\(531\) 5.99621 + 2.48371i 0.260213 + 0.107784i
\(532\) 11.4525 0.947672i 0.496530 0.0410868i
\(533\) −26.1517 63.1359i −1.13276 2.73472i
\(534\) 4.75669 7.17471i 0.205842 0.310480i
\(535\) 11.5457 43.0890i 0.499162 1.86290i
\(536\) 13.2279 4.65029i 0.571358 0.200862i
\(537\) −3.30907 12.3496i −0.142797 0.532925i
\(538\) 7.51465 6.63821i 0.323980 0.286194i
\(539\) −0.328170 + 0.198238i −0.0141353 + 0.00853874i
\(540\) −6.01659 0.748040i −0.258913 0.0321905i
\(541\) −19.8932 25.9253i −0.855274 1.11461i −0.992277 0.124044i \(-0.960414\pi\)
0.137003 0.990571i \(-0.456253\pi\)
\(542\) 0.493062 + 7.12906i 0.0211788 + 0.306219i
\(543\) 9.06820 + 15.7066i 0.389154 + 0.674034i
\(544\) 2.77115 + 7.70474i 0.118812 + 0.330338i
\(545\) −12.7358 −0.545542
\(546\) −22.0627 + 3.20835i −0.944197 + 0.137305i
\(547\) 0.854348 2.06258i 0.0365293 0.0881895i −0.904562 0.426342i \(-0.859802\pi\)
0.941091 + 0.338153i \(0.109802\pi\)
\(548\) 28.4465 + 21.5039i 1.21517 + 0.918602i
\(549\) −7.71263 5.91811i −0.329167 0.252579i
\(550\) 0.307679 + 0.103208i 0.0131195 + 0.00440081i
\(551\) −3.98899 14.8871i −0.169937 0.634213i
\(552\) −13.1942 + 9.02387i −0.561584 + 0.384081i
\(553\) 3.46879 4.03534i 0.147508 0.171600i
\(554\) −38.3574 2.37534i −1.62965 0.100918i
\(555\) −17.9606 2.36456i −0.762386 0.100370i
\(556\) 7.05702 0.0508453i 0.299284 0.00215632i
\(557\) −3.99319 30.3313i −0.169197 1.28518i −0.839610 0.543190i \(-0.817216\pi\)
0.670413 0.741988i \(-0.266117\pi\)
\(558\) −0.297586 + 1.52475i −0.0125978 + 0.0645479i
\(559\) 65.2247i 2.75871i
\(560\) 14.8848 + 28.4199i 0.628998 + 1.20096i
\(561\) 0.0792777i 0.00334711i
\(562\) −8.46040 1.65122i −0.356880 0.0696524i
\(563\) −2.37761 18.0597i −0.100204 0.761127i −0.965599 0.260036i \(-0.916265\pi\)
0.865395 0.501091i \(-0.167068\pi\)
\(564\) −2.37912 + 2.41365i −0.100179 + 0.101633i
\(565\) −53.8461 7.08897i −2.26532 0.298235i
\(566\) 0.465477 7.51662i 0.0195655 0.315947i
\(567\) 0.875222 + 2.49680i 0.0367559 + 0.104856i
\(568\) 11.6886 17.9092i 0.490441 0.751452i
\(569\) −9.61581 35.8867i −0.403116 1.50445i −0.807505 0.589861i \(-0.799182\pi\)
0.404389 0.914587i \(-0.367484\pi\)
\(570\) −2.96096 + 8.82706i −0.124021 + 0.369725i
\(571\) 33.0070 + 25.3272i 1.38130 + 1.05991i 0.990214 + 0.139556i \(0.0445677\pi\)
0.391087 + 0.920354i \(0.372099\pi\)
\(572\) −0.0898560 0.646496i −0.00375707 0.0270314i
\(573\) 4.58453 11.0680i 0.191521 0.462374i
\(574\) 39.8643 + 15.8850i 1.66391 + 0.663026i
\(575\) 23.6783 0.987453
\(576\) 6.24009 5.00613i 0.260004 0.208589i
\(577\) −13.0216 22.5540i −0.542095 0.938936i −0.998784 0.0493094i \(-0.984298\pi\)
0.456689 0.889627i \(-0.349035\pi\)
\(578\) 21.0285 1.45438i 0.874671 0.0604942i
\(579\) −6.64789 8.66370i −0.276277 0.360051i
\(580\) 33.9463 26.4386i 1.40954 1.09780i
\(581\) −18.4211 + 28.1693i −0.764238 + 1.16866i
\(582\) 4.20605 + 4.76137i 0.174346 + 0.197365i
\(583\) −0.0299365 0.111725i −0.00123984 0.00462716i
\(584\) −1.78745 + 32.6791i −0.0739652 + 1.35227i
\(585\) 4.67505 17.4475i 0.193290 0.721367i
\(586\) −11.8695 7.86925i −0.490325 0.325076i
\(587\) 3.04462 + 7.35037i 0.125665 + 0.303382i 0.974174 0.225799i \(-0.0724992\pi\)
−0.848509 + 0.529181i \(0.822499\pi\)
\(588\) 8.21953 11.3331i 0.338968 0.467369i
\(589\) 2.20405 + 0.912947i 0.0908162 + 0.0376173i
\(590\) 27.3092 + 5.32995i 1.12430 + 0.219430i
\(591\) −5.91263 + 3.41366i −0.243213 + 0.140419i
\(592\) 18.7523 14.8233i 0.770715 0.609233i
\(593\) −18.4224 10.6362i −0.756516 0.436775i 0.0715272 0.997439i \(-0.477213\pi\)
−0.828044 + 0.560664i \(0.810546\pi\)
\(594\) −0.0732572 + 0.0251621i −0.00300578 + 0.00103241i
\(595\) −11.3631 + 2.37750i −0.465840 + 0.0974678i
\(596\) 1.89364 3.33515i 0.0775666 0.136613i
\(597\) 20.1972 + 2.65901i 0.826616 + 0.108826i
\(598\) −21.2170 42.6359i −0.867627 1.74351i
\(599\) −8.24725 + 30.7792i −0.336974 + 1.25760i 0.564740 + 0.825269i \(0.308976\pi\)
−0.901714 + 0.432334i \(0.857690\pi\)
\(600\) −11.8159 + 0.902795i −0.482381 + 0.0368564i
\(601\) 16.8586 16.8586i 0.687677 0.687677i −0.274041 0.961718i \(-0.588360\pi\)
0.961718 + 0.274041i \(0.0883605\pi\)
\(602\) −29.3501 28.5677i −1.19622 1.16433i
\(603\) 4.57999 1.89709i 0.186512 0.0772556i
\(604\) 21.4753 + 16.2341i 0.873819 + 0.660557i
\(605\) −33.0517 + 4.35134i −1.34374 + 0.176907i
\(606\) −0.368417 5.32685i −0.0149659 0.216389i
\(607\) 1.50461 2.60607i 0.0610704 0.105777i −0.833874 0.551955i \(-0.813882\pi\)
0.894944 + 0.446178i \(0.147215\pi\)
\(608\) −5.63113 10.9185i −0.228373 0.442805i
\(609\) −16.9215 8.13738i −0.685693 0.329743i
\(610\) −37.4456 18.2987i −1.51613 0.740894i
\(611\) −6.14667 8.01049i −0.248668 0.324070i
\(612\) 1.12706 + 2.66646i 0.0455587 + 0.107785i
\(613\) 22.1699 + 17.0116i 0.895435 + 0.687091i 0.950278 0.311404i \(-0.100799\pi\)
−0.0548431 + 0.998495i \(0.517466\pi\)
\(614\) 0.425120 + 2.09770i 0.0171565 + 0.0846564i
\(615\) −24.5843 + 24.5843i −0.991334 + 0.991334i
\(616\) 0.330269 + 0.242725i 0.0133069 + 0.00977965i
\(617\) 33.9540 + 33.9540i 1.36694 + 1.36694i 0.864772 + 0.502165i \(0.167463\pi\)
0.502165 + 0.864772i \(0.332537\pi\)
\(618\) 12.4606 18.7949i 0.501241 0.756042i
\(619\) −4.22721 + 5.50900i −0.169906 + 0.221426i −0.870543 0.492092i \(-0.836232\pi\)
0.700637 + 0.713517i \(0.252899\pi\)
\(620\) 0.0479846 + 6.65996i 0.00192711 + 0.267470i
\(621\) −4.48366 + 3.44043i −0.179923 + 0.138060i
\(622\) −14.0731 + 4.83379i −0.564281 + 0.193817i
\(623\) −16.0589 + 1.21242i −0.643388 + 0.0485744i
\(624\) 12.2132 + 20.4671i 0.488921 + 0.819340i
\(625\) −24.5907 14.1974i −0.983626 0.567897i
\(626\) 3.03345 3.48422i 0.121241 0.139258i
\(627\) 0.0155258 + 0.117930i 0.000620039 + 0.00470967i
\(628\) −0.0567554 + 0.218087i −0.00226479 + 0.00870262i
\(629\) 3.31010 + 7.99129i 0.131982 + 0.318633i
\(630\) 5.80350 + 9.74554i 0.231217 + 0.388271i
\(631\) 11.3146 + 11.3146i 0.450426 + 0.450426i 0.895496 0.445070i \(-0.146821\pi\)
−0.445070 + 0.895496i \(0.646821\pi\)
\(632\) −5.40628 1.77026i −0.215050 0.0704172i
\(633\) −8.50591 2.27915i −0.338080 0.0905882i
\(634\) −2.53759 + 7.56491i −0.100780 + 0.300441i
\(635\) −5.19959 + 39.4948i −0.206340 + 1.56730i
\(636\) 2.59525 + 3.33220i 0.102908 + 0.132130i
\(637\) 30.0717 + 28.9032i 1.19148 + 1.14519i
\(638\) 0.241351 0.493888i 0.00955517 0.0195532i
\(639\) 3.78054 6.54809i 0.149556 0.259039i
\(640\) 21.9562 26.3478i 0.867896 1.04149i
\(641\) 9.38749 + 16.2596i 0.370783 + 0.642216i 0.989686 0.143252i \(-0.0457559\pi\)
−0.618903 + 0.785468i \(0.712423\pi\)
\(642\) 11.6241 + 17.2617i 0.458765 + 0.681265i
\(643\) 7.67218 18.5223i 0.302561 0.730448i −0.697345 0.716736i \(-0.745635\pi\)
0.999906 0.0137118i \(-0.00436473\pi\)
\(644\) 28.4783 + 9.12676i 1.12220 + 0.359645i
\(645\) 30.6577 12.6988i 1.20715 0.500016i
\(646\) 4.35691 0.882971i 0.171420 0.0347400i
\(647\) −22.9329 6.14485i −0.901586 0.241579i −0.221888 0.975072i \(-0.571222\pi\)
−0.679697 + 0.733493i \(0.737889\pi\)
\(648\) 2.10625 1.88778i 0.0827411 0.0741592i
\(649\) 0.343366 0.0920045i 0.0134783 0.00361149i
\(650\) 2.18215 35.2377i 0.0855908 1.38214i
\(651\) 2.59378 1.31121i 0.101658 0.0513904i
\(652\) 22.9689 6.33220i 0.899531 0.247988i
\(653\) 2.63861 2.02467i 0.103257 0.0792316i −0.555843 0.831287i \(-0.687604\pi\)
0.659099 + 0.752056i \(0.270938\pi\)
\(654\) 3.90134 4.48108i 0.152554 0.175224i
\(655\) −32.4235 + 18.7197i −1.26689 + 0.731440i
\(656\) −0.661027 45.8708i −0.0258088 1.79095i
\(657\) 11.5711i 0.451430i
\(658\) 6.29677 + 0.742606i 0.245474 + 0.0289498i
\(659\) −25.4477 10.5408i −0.991302 0.410611i −0.172702 0.984974i \(-0.555250\pi\)
−0.818600 + 0.574363i \(0.805250\pi\)
\(660\) −0.286379 + 0.168104i −0.0111473 + 0.00654343i
\(661\) −25.7457 + 33.5525i −1.00139 + 1.30504i −0.0494447 + 0.998777i \(0.515745\pi\)
−0.951947 + 0.306262i \(0.900921\pi\)
\(662\) 15.5612 + 31.2706i 0.604805 + 1.21537i
\(663\) −8.33072 + 2.23221i −0.323538 + 0.0866918i
\(664\) 35.3641 + 6.63788i 1.37239 + 0.257600i
\(665\) 16.4376 5.76200i 0.637422 0.223441i
\(666\) 6.33381 5.59510i 0.245430 0.216806i
\(667\) 5.23512 39.7647i 0.202705 1.53969i
\(668\) 14.7593 + 34.9183i 0.571053 + 1.35103i
\(669\) −1.39273 + 0.183356i −0.0538459 + 0.00708894i
\(670\) 17.6284 11.8710i 0.681043 0.458616i
\(671\) −0.532460 −0.0205554
\(672\) −14.5591 3.46860i −0.561631 0.133804i
\(673\) 14.3262 0.552234 0.276117 0.961124i \(-0.410952\pi\)
0.276117 + 0.961124i \(0.410952\pi\)
\(674\) 17.9269 12.0720i 0.690519 0.464997i
\(675\) −4.15388 + 0.546868i −0.159883 + 0.0210490i
\(676\) −41.4570 + 17.5230i −1.59450 + 0.673963i
\(677\) 0.786680 5.97543i 0.0302346 0.229654i −0.969656 0.244475i \(-0.921384\pi\)
0.999890 + 0.0148206i \(0.00471771\pi\)
\(678\) 18.9888 16.7741i 0.729261 0.644207i
\(679\) 2.20317 11.6795i 0.0845499 0.448219i
\(680\) 7.00612 + 10.2440i 0.268672 + 0.392839i
\(681\) −27.2395 + 7.29879i −1.04382 + 0.279690i
\(682\) 0.0379081 + 0.0761770i 0.00145158 + 0.00291697i
\(683\) −29.3298 + 38.2234i −1.12228 + 1.46258i −0.253524 + 0.967329i \(0.581590\pi\)
−0.868751 + 0.495249i \(0.835077\pi\)
\(684\) −2.19876 3.74579i −0.0840719 0.143224i
\(685\) 49.9362 + 20.6843i 1.90796 + 0.790305i
\(686\) −26.1771 + 0.872485i −0.999445 + 0.0333116i
\(687\) 27.1233i 1.03482i
\(688\) −16.1715 + 40.6900i −0.616531 + 1.55129i
\(689\) −10.8974 + 6.29163i −0.415158 + 0.239692i
\(690\) −15.9094 + 18.2736i −0.605662 + 0.695664i
\(691\) −11.2130 + 8.60404i −0.426563 + 0.327313i −0.799632 0.600490i \(-0.794972\pi\)
0.373069 + 0.927804i \(0.378305\pi\)
\(692\) −0.590708 2.14268i −0.0224553 0.0814525i
\(693\) 0.121280 + 0.0793107i 0.00460706 + 0.00301276i
\(694\) −0.489545 + 7.90526i −0.0185829 + 0.300080i
\(695\) 10.3323 2.76853i 0.391927 0.105016i
\(696\) −1.09629 + 20.0429i −0.0415546 + 0.759722i
\(697\) 16.0348 + 4.29652i 0.607363 + 0.162742i
\(698\) 21.3419 4.32515i 0.807802 0.163709i
\(699\) −12.7895 + 5.29756i −0.483741 + 0.200372i
\(700\) 14.9007 + 16.4157i 0.563193 + 0.620455i
\(701\) 2.53249 6.11397i 0.0956508 0.230921i −0.868811 0.495144i \(-0.835115\pi\)
0.964462 + 0.264222i \(0.0851153\pi\)
\(702\) 4.70680 + 6.98958i 0.177647 + 0.263805i
\(703\) −6.48897 11.2392i −0.244736 0.423896i
\(704\) 0.104233 0.425591i 0.00392841 0.0160401i
\(705\) −2.56847 + 4.44872i −0.0967342 + 0.167549i
\(706\) 14.1944 29.0467i 0.534214 1.09319i
\(707\) −7.44485 + 6.66056i −0.279992 + 0.250496i
\(708\) −10.2409 + 7.97602i −0.384877 + 0.299757i
\(709\) 0.448944 3.41007i 0.0168604 0.128068i −0.980945 0.194288i \(-0.937761\pi\)
0.997805 + 0.0662198i \(0.0210939\pi\)
\(710\) 10.3089 30.7324i 0.386887 1.15337i
\(711\) −1.94274 0.520556i −0.0728584 0.0195224i
\(712\) 7.78113 + 15.3579i 0.291610 + 0.575561i
\(713\) 4.38988 + 4.38988i 0.164402 + 0.164402i
\(714\) 2.64431 4.72638i 0.0989607 0.176880i
\(715\) −0.378601 0.914023i −0.0141589 0.0341825i
\(716\) 24.7463 + 6.44001i 0.924811 + 0.240675i
\(717\) 0.825464 + 6.27002i 0.0308275 + 0.234158i
\(718\) −10.3901 + 11.9341i −0.387756 + 0.445377i
\(719\) −38.5527 22.2584i −1.43777 0.830098i −0.440078 0.897960i \(-0.645049\pi\)
−0.997695 + 0.0678616i \(0.978382\pi\)
\(720\) 7.24235 9.72543i 0.269906 0.362445i
\(721\) −42.0680 + 3.17605i −1.56669 + 0.118282i
\(722\) 19.1046 6.56198i 0.710999 0.244211i
\(723\) 19.7241 15.1349i 0.733548 0.562871i
\(724\) −36.2718 + 0.261336i −1.34803 + 0.00971248i
\(725\) 18.1007 23.5893i 0.672243 0.876084i
\(726\) 8.59365 12.9621i 0.318940 0.481070i
\(727\) 24.0673 + 24.0673i 0.892608 + 0.892608i 0.994768 0.102160i \(-0.0325754\pi\)
−0.102160 + 0.994768i \(0.532575\pi\)
\(728\) 16.2068 41.5400i 0.600665 1.53957i
\(729\) 0.707107 0.707107i 0.0261891 0.0261891i
\(730\) 9.85298 + 48.6183i 0.364675 + 1.79944i
\(731\) −12.5701 9.64539i −0.464922 0.356747i
\(732\) 17.9090 7.56978i 0.661936 0.279787i
\(733\) −18.4054 23.9864i −0.679819 0.885957i 0.318254 0.948005i \(-0.396903\pi\)
−0.998073 + 0.0620484i \(0.980237\pi\)
\(734\) 15.3250 + 7.48893i 0.565655 + 0.276421i
\(735\) 7.73067 19.7619i 0.285150 0.728929i
\(736\) −2.66517 31.8586i −0.0982394 1.17432i
\(737\) 0.135760 0.235143i 0.00500077 0.00866159i
\(738\) −1.11910 16.1808i −0.0411947 0.595624i
\(739\) −6.87725 + 0.905407i −0.252984 + 0.0333059i −0.255951 0.966690i \(-0.582389\pi\)
0.00296763 + 0.999996i \(0.499055\pi\)
\(740\) 21.8485 28.9023i 0.803167 1.06247i
\(741\) 11.9552 4.95202i 0.439187 0.181917i
\(742\) 1.94182 7.65933i 0.0712864 0.281183i
\(743\) 9.82072 9.82072i 0.360287 0.360287i −0.503631 0.863919i \(-0.668003\pi\)
0.863919 + 0.503631i \(0.168003\pi\)
\(744\) −2.35800 2.02325i −0.0864484 0.0741759i
\(745\) 1.50456 5.61511i 0.0551229 0.205722i
\(746\) 17.0315 + 34.2251i 0.623568 + 1.25307i
\(747\) 12.6126 + 1.66048i 0.461471 + 0.0607538i
\(748\) 0.137881 + 0.0782863i 0.00504141 + 0.00286243i
\(749\) 12.1489 36.9892i 0.443911 1.35156i
\(750\) 3.28538 1.12845i 0.119965 0.0412052i
\(751\) 27.1815 + 15.6933i 0.991867 + 0.572655i 0.905832 0.423637i \(-0.139247\pi\)
0.0860355 + 0.996292i \(0.472580\pi\)
\(752\) −1.84848 6.52127i −0.0674072 0.237806i
\(753\) 9.93822 5.73783i 0.362169 0.209098i
\(754\) −58.6948 11.4555i −2.13754 0.417184i
\(755\) 37.6987 + 15.6153i 1.37200 + 0.568300i
\(756\) −5.20673 0.943377i −0.189367 0.0343103i
\(757\) −2.66195 6.42652i −0.0967502 0.233576i 0.868093 0.496401i \(-0.165346\pi\)
−0.964843 + 0.262826i \(0.915346\pi\)
\(758\) 12.7571 + 8.45769i 0.463358 + 0.307197i
\(759\) −0.0801149 + 0.298993i −0.00290799 + 0.0108528i
\(760\) −12.4282 13.8664i −0.450817 0.502988i
\(761\) 13.0035 + 48.5296i 0.471375 + 1.75920i 0.634836 + 0.772647i \(0.281067\pi\)
−0.163461 + 0.986550i \(0.552266\pi\)
\(762\) −12.3034 13.9278i −0.445706 0.504553i
\(763\) −11.0982 0.617084i −0.401783 0.0223399i
\(764\) 14.7224 + 18.9031i 0.532639 + 0.683890i
\(765\) 2.67115 + 3.48111i 0.0965755 + 0.125860i
\(766\) −8.50296 + 0.588083i −0.307224 + 0.0212483i
\(767\) −19.3362 33.4912i −0.698189 1.20930i
\(768\) 2.54465 + 15.7964i 0.0918222 + 0.570002i
\(769\) −46.1127 −1.66287 −0.831434 0.555624i \(-0.812480\pi\)
−0.831434 + 0.555624i \(0.812480\pi\)
\(770\) 0.577119 + 0.229968i 0.0207979 + 0.00828747i
\(771\) 4.27998 10.3328i 0.154140 0.372126i
\(772\) 21.6328 3.00672i 0.778580 0.108214i
\(773\) −0.900658 0.691100i −0.0323944 0.0248571i 0.592437 0.805617i \(-0.298166\pi\)
−0.624832 + 0.780759i \(0.714832\pi\)
\(774\) −4.92324 + 14.6769i −0.176962 + 0.527550i
\(775\) 1.19120 + 4.44560i 0.0427890 + 0.159691i
\(776\) −12.4345 + 2.61338i −0.446372 + 0.0938148i
\(777\) −15.5367 2.93077i −0.557376 0.105141i
\(778\) 1.15109 18.5880i 0.0412684 0.666411i
\(779\) −24.6942 3.25105i −0.884760 0.116481i
\(780\) 25.7283 + 25.3603i 0.921223 + 0.908043i
\(781\) −0.0540547 0.410586i −0.00193423 0.0146919i
\(782\) 11.3544 + 2.21603i 0.406031 + 0.0792451i
\(783\) 7.09681i 0.253619i
\(784\) 11.5939 + 25.4869i 0.414068 + 0.910246i
\(785\) 0.341571i 0.0121912i
\(786\) 3.34571 17.1426i 0.119338 0.611455i
\(787\) −6.47489 49.1816i −0.230805 1.75314i −0.578642 0.815581i \(-0.696417\pi\)
0.347838 0.937555i \(-0.386916\pi\)
\(788\) −0.0983782 13.6543i −0.00350458 0.486414i
\(789\) 15.7907 + 2.07889i 0.562165 + 0.0740104i
\(790\) −8.60609 0.532944i −0.306191 0.0189613i
\(791\) −46.5791 8.78645i −1.65616 0.312410i
\(792\) 0.0285789 0.152257i 0.00101551 0.00541022i
\(793\) 14.9924 + 55.9524i 0.532396 + 1.98693i
\(794\) −44.5048 14.9288i −1.57942 0.529802i
\(795\) 5.07892 + 3.89719i 0.180131 + 0.138219i
\(796\) −24.5692 + 32.5014i −0.870832 + 1.15198i
\(797\) 13.3482 32.2254i 0.472817 1.14148i −0.490096 0.871668i \(-0.663038\pi\)
0.962913 0.269812i \(-0.0869616\pi\)
\(798\) −3.00794 + 7.54861i −0.106480 + 0.267218i
\(799\) 2.45275 0.0867720
\(800\) 10.0980 21.4418i 0.357017 0.758082i
\(801\) 3.04349 + 5.27148i 0.107536 + 0.186259i
\(802\) −2.12594 30.7385i −0.0750696 1.08541i
\(803\) 0.385809 + 0.502796i 0.0136149 + 0.0177433i
\(804\) −1.22327 + 9.83894i −0.0431415 + 0.346993i
\(805\) 45.2580 + 2.51643i 1.59514 + 0.0886926i
\(806\) 6.93752 6.12840i 0.244364 0.215864i
\(807\) 1.83502 + 6.84840i 0.0645959 + 0.241075i
\(808\) 9.62833 + 4.61949i 0.338724 + 0.162513i
\(809\) 0.380941 1.42169i 0.0133932 0.0499841i −0.958906 0.283724i \(-0.908430\pi\)
0.972299 + 0.233740i \(0.0750966\pi\)
\(810\) 2.36894 3.57317i 0.0832361 0.125548i
\(811\) 15.7217 + 37.9555i 0.552063 + 1.33280i 0.915927 + 0.401346i \(0.131457\pi\)
−0.363864 + 0.931452i \(0.618543\pi\)
\(812\) 30.8625 21.3944i 1.08306 0.750795i
\(813\) −4.66841 1.93372i −0.163728 0.0678185i
\(814\) 0.0886674 0.454308i 0.00310779 0.0159235i
\(815\) 31.2751 18.0567i 1.09552 0.632497i
\(816\) −5.75051 0.672923i −0.201308 0.0235570i
\(817\) 20.5877 + 11.8863i 0.720272 + 0.415849i
\(818\) 2.75659 + 8.02556i 0.0963821 + 0.280607i
\(819\) 4.91931 14.9776i 0.171895 0.523360i
\(820\) −18.4804 67.0341i −0.645363 2.34093i
\(821\) 40.2092 + 5.29364i 1.40331 + 0.184749i 0.793872 0.608084i \(-0.208062\pi\)
0.609438 + 0.792834i \(0.291395\pi\)
\(822\) −22.5746 + 11.2338i −0.787379 + 0.391825i
\(823\) −3.76679 + 14.0579i −0.131302 + 0.490026i −0.999986 0.00534103i \(-0.998300\pi\)
0.868684 + 0.495367i \(0.164967\pi\)
\(824\) 20.3835 + 40.2316i 0.710091 + 1.40153i
\(825\) −0.162264 + 0.162264i −0.00564930 + 0.00564930i
\(826\) 23.5396 + 5.96783i 0.819047 + 0.207647i
\(827\) −28.6137 + 11.8522i −0.994997 + 0.412141i −0.819960 0.572421i \(-0.806004\pi\)
−0.175037 + 0.984562i \(0.556004\pi\)
\(828\) −1.55604 11.1954i −0.0540763 0.389068i
\(829\) −25.9825 + 3.42067i −0.902411 + 0.118805i −0.567431 0.823421i \(-0.692063\pi\)
−0.334979 + 0.942225i \(0.608729\pi\)
\(830\) 54.4084 3.76301i 1.88854 0.130616i
\(831\) 13.5874 23.5340i 0.471341 0.816386i
\(832\) −47.6571 + 1.03024i −1.65221 + 0.0357172i
\(833\) −10.0172 + 1.52123i −0.347076 + 0.0527074i
\(834\) −2.19097 + 4.48349i −0.0758671 + 0.155251i
\(835\) 34.9796 + 45.5863i 1.21052 + 1.57758i
\(836\) −0.220437 0.0894526i −0.00762396 0.00309378i
\(837\) −0.871502 0.668727i −0.0301235 0.0231146i
\(838\) −9.93427 + 2.01328i −0.343174 + 0.0695476i
\(839\) −6.76236 + 6.76236i −0.233463 + 0.233463i −0.814136 0.580674i \(-0.802789\pi\)
0.580674 + 0.814136i \(0.302789\pi\)
\(840\) −22.6805 + 0.469833i −0.782550 + 0.0162108i
\(841\) −15.1071 15.1071i −0.520936 0.520936i
\(842\) 11.1009 + 7.35970i 0.382563 + 0.253632i
\(843\) 3.71057 4.83571i 0.127799 0.166551i
\(844\) 12.3635 12.5429i 0.425568 0.431745i
\(845\) −54.1227 + 41.5298i −1.86188 + 1.42867i
\(846\) −0.778483 2.26648i −0.0267648 0.0779232i
\(847\) −29.0128 + 2.19040i −0.996890 + 0.0752631i
\(848\) −8.35819 + 1.22314i −0.287022 + 0.0420030i
\(849\) 4.61179 + 2.66262i 0.158276 + 0.0913808i
\(850\) 6.46832 + 5.63147i 0.221862 + 0.193158i
\(851\) −4.40824 33.4839i −0.151113 1.14781i
\(852\) 7.65525 + 13.0414i 0.262264 + 0.446790i
\(853\) 9.23805 + 22.3026i 0.316305 + 0.763627i 0.999444 + 0.0333390i \(0.0106141\pi\)
−0.683139 + 0.730288i \(0.739386\pi\)
\(854\) −31.7442 17.7602i −1.08627 0.607742i
\(855\) −4.65522 4.65522i −0.159205 0.159205i
\(856\) −41.5004 + 3.17085i −1.41846 + 0.108377i
\(857\) 29.3135 + 7.85452i 1.00133 + 0.268305i 0.722002 0.691891i \(-0.243222\pi\)
0.279327 + 0.960196i \(0.409889\pi\)
\(858\) 0.437574 + 0.146781i 0.0149385 + 0.00501101i
\(859\) 0.136634 1.03784i 0.00466191 0.0354107i −0.988956 0.148211i \(-0.952649\pi\)
0.993618 + 0.112800i \(0.0359819\pi\)
\(860\) −8.18838 + 65.8602i −0.279221 + 2.24582i
\(861\) −22.6144 + 20.2321i −0.770697 + 0.689507i
\(862\) 5.82271 + 2.84541i 0.198322 + 0.0969151i
\(863\) −6.99730 + 12.1197i −0.238191 + 0.412559i −0.960195 0.279330i \(-0.909888\pi\)
0.722004 + 0.691889i \(0.243221\pi\)
\(864\) 1.20335 + 5.52738i 0.0409387 + 0.188045i
\(865\) −1.68444 2.91753i −0.0572727 0.0991992i
\(866\) −18.9778 + 12.7797i −0.644891 + 0.434271i
\(867\) −5.70387 + 13.7704i −0.193714 + 0.467666i
\(868\) −0.280878 + 5.80595i −0.00953362 + 0.197067i
\(869\) −0.101774 + 0.0421563i −0.00345245 + 0.00143005i
\(870\) 6.04306 + 29.8187i 0.204879 + 1.01095i
\(871\) −28.5320 7.64512i −0.966770 0.259045i
\(872\) 3.94100 + 11.2103i 0.133459 + 0.379628i
\(873\) −4.33923 + 1.16269i −0.146861 + 0.0393512i
\(874\) −17.3242 1.07283i −0.586000 0.0362889i
\(875\) −5.43909 3.55686i −0.183875 0.120244i
\(876\) −20.1245 11.4264i −0.679945 0.386061i
\(877\) 13.3024 10.2073i 0.449191 0.344676i −0.359262 0.933237i \(-0.616972\pi\)
0.808453 + 0.588560i \(0.200305\pi\)
\(878\) −32.2454 28.0736i −1.08823 0.947438i
\(879\) 8.72088 5.03500i 0.294148 0.169826i
\(880\) −0.00956974 0.664076i −0.000322596 0.0223860i
\(881\) 21.3447i 0.719120i 0.933122 + 0.359560i \(0.117073\pi\)
−0.933122 + 0.359560i \(0.882927\pi\)
\(882\) 4.58509 + 8.77365i 0.154388 + 0.295424i
\(883\) −10.0774 4.17418i −0.339130 0.140472i 0.206618 0.978422i \(-0.433754\pi\)
−0.545748 + 0.837949i \(0.683754\pi\)
\(884\) 4.34426 16.6932i 0.146113 0.561452i
\(885\) −11.9773 + 15.6091i −0.402613 + 0.524696i
\(886\) 45.6894 22.7365i 1.53496 0.763847i
\(887\) −29.0688 + 7.78896i −0.976035 + 0.261528i −0.711374 0.702814i \(-0.751927\pi\)
−0.264661 + 0.964341i \(0.585260\pi\)
\(888\) 3.47644 + 16.5410i 0.116662 + 0.555078i
\(889\) −6.44466 + 34.1647i −0.216147 + 1.14585i
\(890\) 17.2766 + 19.5576i 0.579114 + 0.655573i
\(891\) 0.00714906 0.0543025i 0.000239503 0.00181920i
\(892\) 1.05642 2.60331i 0.0353714 0.0871651i
\(893\) −3.64860 + 0.480347i −0.122096 + 0.0160742i
\(894\) 1.51478 + 2.24944i 0.0506618 + 0.0752327i
\(895\) 38.7579 1.29553
\(896\) 20.4097 21.8962i 0.681841 0.731501i
\(897\) 33.6748 1.12437
\(898\) −25.7981 38.3101i −0.860893 1.27842i
\(899\) 7.72918 1.01757i 0.257783 0.0339377i
\(900\) 3.15081 7.76449i 0.105027 0.258816i
\(901\) 0.398980 3.03055i 0.0132919 0.100962i
\(902\) −0.588138 0.665789i −0.0195828 0.0221683i
\(903\) 27.3310 9.58057i 0.909520 0.318822i
\(904\) 10.4224 + 49.5899i 0.346644 + 1.64934i
\(905\) −53.1063 + 14.2298i −1.76531 + 0.473014i
\(906\) −17.0424 + 8.48085i −0.566196 + 0.281757i
\(907\) 7.78677 10.1479i 0.258556 0.336956i −0.645980 0.763354i \(-0.723551\pi\)
0.904536 + 0.426398i \(0.140218\pi\)
\(908\) 14.2047 54.5827i 0.471400 1.81139i
\(909\) 3.48825 + 1.44488i 0.115698 + 0.0479236i
\(910\) 7.91581 67.1205i 0.262407 2.22502i
\(911\) 32.7678i 1.08565i −0.839847 0.542823i \(-0.817356\pi\)
0.839847 0.542823i \(-0.182644\pi\)
\(912\) 8.68598 0.125170i 0.287622 0.00414480i
\(913\) 0.603418 0.348384i 0.0199702 0.0115298i
\(914\) 15.2446 + 13.2723i 0.504245 + 0.439008i
\(915\) 23.3805 17.9405i 0.772935 0.593094i
\(916\) −47.1732 26.7841i −1.55865 0.884973i
\(917\) −29.1615 + 14.7417i −0.962998 + 0.486815i
\(918\) −2.04307 0.126520i −0.0674314 0.00417578i
\(919\) −53.8701 + 14.4344i −1.77701 + 0.476148i −0.990033 0.140835i \(-0.955021\pi\)
−0.786976 + 0.616983i \(0.788355\pi\)
\(920\) −16.0712 45.7149i −0.529850 1.50718i
\(921\) −1.46188 0.391711i −0.0481707 0.0129073i
\(922\) 6.45193 + 31.8362i 0.212483 + 1.04847i
\(923\) −41.6235 + 17.2410i −1.37006 + 0.567495i
\(924\) −0.257702 + 0.132613i −0.00847777 + 0.00436265i
\(925\) 9.58134 23.1314i 0.315033 0.760556i
\(926\) −27.4768 + 18.5029i −0.902943 + 0.608043i
\(927\) 7.97273 + 13.8092i 0.261859 + 0.453553i
\(928\) −33.7762 21.6989i −1.10876 0.712301i
\(929\) −10.0898 + 17.4760i −0.331035 + 0.573370i −0.982715 0.185124i \(-0.940731\pi\)
0.651680 + 0.758494i \(0.274065\pi\)
\(930\) −4.23123 2.06770i −0.138748 0.0678024i
\(931\) 14.6032 4.22468i 0.478601 0.138458i
\(932\) 3.41594 27.4749i 0.111893 0.899969i
\(933\) 1.37338 10.4318i 0.0449623 0.341523i
\(934\) 15.1290 + 5.07489i 0.495035 + 0.166055i
\(935\) 0.232138 + 0.0622011i 0.00759172 + 0.00203419i
\(936\) −16.8043 + 1.28394i −0.549265 + 0.0419668i
\(937\) −21.8789 21.8789i −0.714751 0.714751i 0.252774 0.967525i \(-0.418657\pi\)
−0.967525 + 0.252774i \(0.918657\pi\)
\(938\) 15.9369 9.49047i 0.520358 0.309875i
\(939\) 1.25008 + 3.01796i 0.0407949 + 0.0984875i
\(940\) −5.20091 8.86020i −0.169635 0.288988i
\(941\) 5.41482 + 41.1296i 0.176518 + 1.34079i 0.818694 + 0.574230i \(0.194698\pi\)
−0.642176 + 0.766557i \(0.721968\pi\)
\(942\) −0.120181 0.104633i −0.00391572 0.00340912i
\(943\) −56.1330 32.4084i −1.82794 1.05536i
\(944\) −3.75911 25.6874i −0.122349 0.836054i
\(945\) −7.99771 + 0.603811i −0.260166 + 0.0196420i
\(946\) 0.275436 + 0.801906i 0.00895519 + 0.0260722i
\(947\) −1.15734 + 0.888062i −0.0376086 + 0.0288581i −0.627395 0.778701i \(-0.715879\pi\)
0.589786 + 0.807560i \(0.299212\pi\)
\(948\) 2.82380 2.86479i 0.0917128 0.0930440i
\(949\) 41.9720 54.6990i 1.36247 1.77560i
\(950\) −10.7249 7.11037i −0.347960 0.230691i
\(951\) −3.98959 3.98959i −0.129371 0.129371i
\(952\) 5.60893 + 9.26628i 0.181786 + 0.300322i
\(953\) −16.5205 + 16.5205i −0.535152 + 0.535152i −0.922101 0.386949i \(-0.873529\pi\)
0.386949 + 0.922101i \(0.373529\pi\)
\(954\) −2.92704 + 0.593194i −0.0947664 + 0.0192054i
\(955\) 28.8120 + 22.1082i 0.932333 + 0.715404i
\(956\) −11.7200 4.75596i −0.379053 0.153819i
\(957\) 0.236626 + 0.308377i 0.00764902 + 0.00996840i
\(958\) 22.3672 45.7711i 0.722650 1.47880i
\(959\) 42.5132 + 20.4442i 1.37282 + 0.660178i
\(960\) 9.76278 + 22.1998i 0.315092 + 0.716495i
\(961\) 14.8966 25.8017i 0.480537 0.832314i
\(962\) −50.2366 + 3.47447i −1.61969 + 0.112021i
\(963\) −14.5895 + 1.92074i −0.470140 + 0.0618951i
\(964\) 6.84522 + 49.2500i 0.220470 + 1.58624i
\(965\) 30.5846 12.6686i 0.984554 0.407816i
\(966\) −14.7492 + 15.1531i −0.474548 + 0.487544i
\(967\) 27.5466 27.5466i 0.885838 0.885838i −0.108282 0.994120i \(-0.534535\pi\)
0.994120 + 0.108282i \(0.0345351\pi\)
\(968\) 14.0577 + 27.7462i 0.451832 + 0.891797i
\(969\) −0.813579 + 3.03632i −0.0261359 + 0.0975406i
\(970\) −17.2421 + 8.58023i −0.553611 + 0.275494i
\(971\) 45.6955 + 6.01593i 1.46644 + 0.193060i 0.821077 0.570817i \(-0.193374\pi\)
0.645361 + 0.763878i \(0.276707\pi\)
\(972\) 0.531543 + 1.92807i 0.0170493 + 0.0618429i
\(973\) 9.13792 1.91193i 0.292948 0.0612936i
\(974\) 15.3806 + 44.7790i 0.492825 + 1.43481i
\(975\) 21.6200 + 12.4823i 0.692393 + 0.399753i
\(976\) −4.51962 + 38.6227i −0.144670 + 1.23628i
\(977\) 7.48702 4.32263i 0.239531 0.138293i −0.375430 0.926851i \(-0.622505\pi\)
0.614961 + 0.788557i \(0.289172\pi\)
\(978\) −3.22721 + 16.5354i −0.103195 + 0.528742i
\(979\) 0.308013 + 0.127583i 0.00984413 + 0.00407757i
\(980\) 26.7361 + 32.9600i 0.854054 + 1.05287i
\(981\) 1.60774 + 3.88142i 0.0513311 + 0.123924i
\(982\) 15.9497 24.0576i 0.508976 0.767708i
\(983\) −2.26709 + 8.46091i −0.0723091 + 0.269861i −0.992610 0.121351i \(-0.961277\pi\)
0.920301 + 0.391212i \(0.127944\pi\)
\(984\) 29.2470 + 14.0321i 0.932359 + 0.447328i
\(985\) −5.35670 19.9915i −0.170679 0.636982i
\(986\) 10.8874 9.61764i 0.346727 0.306288i
\(987\) −2.45377 + 3.75226i −0.0781043 + 0.119436i
\(988\) −3.19313 + 25.6828i −0.101587 + 0.817078i
\(989\) 37.6605 + 49.0801i 1.19753 + 1.56066i
\(990\) −0.0162013 0.234251i −0.000514912 0.00744498i
\(991\) −9.01201 15.6093i −0.286276 0.495844i 0.686642 0.726996i \(-0.259084\pi\)
−0.972918 + 0.231151i \(0.925751\pi\)
\(992\) 5.84737 2.10311i 0.185654 0.0667738i
\(993\) −24.6982 −0.783773
\(994\) 10.4725 26.2813i 0.332167 0.833593i
\(995\) −23.6327 + 57.0543i −0.749206 + 1.80874i
\(996\) −15.3428 + 20.2963i −0.486156 + 0.643112i
\(997\) 20.2195 + 15.5150i 0.640360 + 0.491365i 0.877163 0.480192i \(-0.159433\pi\)
−0.236804 + 0.971558i \(0.576100\pi\)
\(998\) −37.4200 12.5522i −1.18451 0.397334i
\(999\) 1.54667 + 5.77226i 0.0489345 + 0.182626i
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 672.2.cj.a.205.20 yes 512
7.4 even 3 inner 672.2.cj.a.109.63 yes 512
32.5 even 8 inner 672.2.cj.a.37.63 512
224.165 even 24 inner 672.2.cj.a.613.20 yes 512
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
672.2.cj.a.37.63 512 32.5 even 8 inner
672.2.cj.a.109.63 yes 512 7.4 even 3 inner
672.2.cj.a.205.20 yes 512 1.1 even 1 trivial
672.2.cj.a.613.20 yes 512 224.165 even 24 inner