Properties

Label 882.2.y.a.583.22
Level $882$
Weight $2$
Character 882.583
Analytic conductor $7.043$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [882,2,Mod(193,882)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(882, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 22]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("882.193");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 882.y (of order \(21\), degree \(12\), 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: \(7.04280545828\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 583.22
Character \(\chi\) \(=\) 882.583
Dual form 882.2.y.a.823.22

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.365341 + 0.930874i) q^{2} +(1.25517 - 1.19354i) q^{3} +(-0.733052 - 0.680173i) q^{4} +(0.269855 - 0.129955i) q^{5} +(0.652473 + 1.60446i) q^{6} +(-0.251712 - 2.63375i) q^{7} +(0.900969 - 0.433884i) q^{8} +(0.150906 - 2.99620i) q^{9} +O(q^{10})\) \(q+(-0.365341 + 0.930874i) q^{2} +(1.25517 - 1.19354i) q^{3} +(-0.733052 - 0.680173i) q^{4} +(0.269855 - 0.129955i) q^{5} +(0.652473 + 1.60446i) q^{6} +(-0.251712 - 2.63375i) q^{7} +(0.900969 - 0.433884i) q^{8} +(0.150906 - 2.99620i) q^{9} +(0.0223829 + 0.298679i) q^{10} +(-3.11450 - 3.90546i) q^{11} +(-1.73192 + 0.0211968i) q^{12} +(-1.16485 + 2.96799i) q^{13} +(2.54365 + 0.727905i) q^{14} +(0.183607 - 0.485200i) q^{15} +(0.0747301 + 0.997204i) q^{16} +(-5.38820 + 4.99952i) q^{17} +(2.73395 + 1.23511i) q^{18} +(3.25398 - 5.63607i) q^{19} +(-0.286210 - 0.0882840i) q^{20} +(-3.45944 - 3.00538i) q^{21} +(4.77335 - 1.47238i) q^{22} +(1.29577 - 5.67715i) q^{23} +(0.613010 - 1.61994i) q^{24} +(-3.06152 + 3.83902i) q^{25} +(-2.33726 - 2.16866i) q^{26} +(-3.38669 - 3.94086i) q^{27} +(-1.60689 + 2.10188i) q^{28} +(-4.64005 - 1.43126i) q^{29} +(0.384581 + 0.348178i) q^{30} +(-3.85459 + 6.67635i) q^{31} +(-0.955573 - 0.294755i) q^{32} +(-8.57058 - 1.18473i) q^{33} +(-2.68539 - 6.84226i) q^{34} +(-0.410196 - 0.678019i) q^{35} +(-2.14856 + 2.09373i) q^{36} +(3.64620 + 1.12470i) q^{37} +(4.05765 + 5.08813i) q^{38} +(2.08034 + 5.11563i) q^{39} +(0.186745 - 0.234171i) q^{40} +(0.926930 + 0.631970i) q^{41} +(4.06150 - 2.12231i) q^{42} +(7.32178 - 4.99190i) q^{43} +(-0.373298 + 4.98131i) q^{44} +(-0.348650 - 0.828151i) q^{45} +(4.81131 + 3.28030i) q^{46} +(1.77435 - 4.52097i) q^{47} +(1.28401 + 1.16247i) q^{48} +(-6.87328 + 1.32589i) q^{49} +(-2.45514 - 4.25244i) q^{50} +(-0.795965 + 12.7063i) q^{51} +(2.87264 - 1.38339i) q^{52} +(2.76027 - 0.851431i) q^{53} +(4.90574 - 1.71282i) q^{54} +(-1.34800 - 0.649163i) q^{55} +(-1.36953 - 2.26371i) q^{56} +(-2.64259 - 10.9580i) q^{57} +(3.02753 - 3.79640i) q^{58} +(-5.15130 + 3.51210i) q^{59} +(-0.464613 + 0.230792i) q^{60} +(10.4255 - 9.67341i) q^{61} +(-4.80660 - 6.02728i) q^{62} +(-7.92923 + 0.356731i) q^{63} +(0.623490 - 0.781831i) q^{64} +(0.0713654 + 0.952305i) q^{65} +(4.23401 - 7.54530i) q^{66} +(5.32738 - 9.22729i) q^{67} +7.35037 q^{68} +(-5.14951 - 8.67235i) q^{69} +(0.781012 - 0.134132i) q^{70} +(-1.05524 + 4.62332i) q^{71} +(-1.16404 - 2.76496i) q^{72} +(5.50272 + 0.829402i) q^{73} +(-2.37906 + 2.98325i) q^{74} +(0.739313 + 8.47268i) q^{75} +(-6.21884 + 1.91826i) q^{76} +(-9.50206 + 9.18588i) q^{77} +(-5.52204 + 0.0675835i) q^{78} +(-0.810768 - 1.40429i) q^{79} +(0.149758 + 0.259389i) q^{80} +(-8.95445 - 0.904291i) q^{81} +(-0.926930 + 0.631970i) q^{82} +(1.73891 + 4.43067i) q^{83} +(0.491773 + 4.55611i) q^{84} +(-0.804318 + 2.04937i) q^{85} +(1.97189 + 8.63940i) q^{86} +(-7.53233 + 3.74162i) q^{87} +(-4.50059 - 2.16737i) q^{88} +(-2.49229 - 6.35024i) q^{89} +(0.898280 - 0.0219912i) q^{90} +(8.11015 + 2.32084i) q^{91} +(-4.81131 + 3.28030i) q^{92} +(3.13035 + 12.9806i) q^{93} +(3.56021 + 3.30339i) q^{94} +(0.145667 - 1.94379i) q^{95} +(-1.55121 + 0.770550i) q^{96} +(6.84584 - 11.8573i) q^{97} +(1.27685 - 6.88256i) q^{98} +(-12.1716 + 8.74233i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 28 q^{2} - 13 q^{3} + 28 q^{4} - 4 q^{5} - 5 q^{6} - q^{7} + 56 q^{8} + 29 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 28 q^{2} - 13 q^{3} + 28 q^{4} - 4 q^{5} - 5 q^{6} - q^{7} + 56 q^{8} + 29 q^{9} - 2 q^{10} + q^{12} - 23 q^{13} + q^{14} + q^{15} + 28 q^{16} + 7 q^{17} - q^{18} + 38 q^{19} + 2 q^{20} + 13 q^{21} + 21 q^{23} - q^{24} - 48 q^{25} + 9 q^{26} - 28 q^{27} + 2 q^{28} + 11 q^{29} - 7 q^{30} + 44 q^{31} - 28 q^{32} - 25 q^{33} - 7 q^{34} - 2 q^{35} + 5 q^{36} + 52 q^{37} - 22 q^{38} - 51 q^{39} + 4 q^{40} + 3 q^{41} + 13 q^{42} + q^{43} - 75 q^{45} - 42 q^{46} - 33 q^{47} - 2 q^{48} - 41 q^{49} + 172 q^{50} + 4 q^{51} + 11 q^{52} - 78 q^{53} + 11 q^{54} + 23 q^{55} + q^{56} - 30 q^{57} - 13 q^{58} + 14 q^{59} - 8 q^{60} + 92 q^{61} - 24 q^{62} - 22 q^{63} - 56 q^{64} + 7 q^{65} + 29 q^{66} + 29 q^{67} + 42 q^{68} + 19 q^{69} - 34 q^{70} + 7 q^{71} - q^{72} - 8 q^{73} - 8 q^{74} - 5 q^{75} - 4 q^{76} + 2 q^{77} + 4 q^{78} - 9 q^{79} - 12 q^{80} + 45 q^{81} - 3 q^{82} - 109 q^{83} + 28 q^{84} + 93 q^{85} + 2 q^{86} - 15 q^{87} + 47 q^{89} - 3 q^{90} + 45 q^{91} + 42 q^{92} + 155 q^{93} - 9 q^{94} - 13 q^{95} - q^{96} + 111 q^{97} - 14 q^{98} - 157 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(785\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.365341 + 0.930874i −0.258335 + 0.658227i
\(3\) 1.25517 1.19354i 0.724673 0.689093i
\(4\) −0.733052 0.680173i −0.366526 0.340086i
\(5\) 0.269855 0.129955i 0.120683 0.0581178i −0.372568 0.928005i \(-0.621523\pi\)
0.493251 + 0.869887i \(0.335808\pi\)
\(6\) 0.652473 + 1.60446i 0.266371 + 0.655016i
\(7\) −0.251712 2.63375i −0.0951383 0.995464i
\(8\) 0.900969 0.433884i 0.318541 0.153401i
\(9\) 0.150906 2.99620i 0.0503021 0.998734i
\(10\) 0.0223829 + 0.298679i 0.00707809 + 0.0944506i
\(11\) −3.11450 3.90546i −0.939058 1.17754i −0.983931 0.178549i \(-0.942860\pi\)
0.0448726 0.998993i \(-0.485712\pi\)
\(12\) −1.73192 + 0.0211968i −0.499963 + 0.00611898i
\(13\) −1.16485 + 2.96799i −0.323071 + 0.823172i 0.673403 + 0.739275i \(0.264832\pi\)
−0.996474 + 0.0838967i \(0.973263\pi\)
\(14\) 2.54365 + 0.727905i 0.679819 + 0.194541i
\(15\) 0.183607 0.485200i 0.0474070 0.125278i
\(16\) 0.0747301 + 0.997204i 0.0186825 + 0.249301i
\(17\) −5.38820 + 4.99952i −1.30683 + 1.21256i −0.345099 + 0.938566i \(0.612155\pi\)
−0.961731 + 0.273995i \(0.911655\pi\)
\(18\) 2.73395 + 1.23511i 0.644399 + 0.291118i
\(19\) 3.25398 5.63607i 0.746515 1.29300i −0.202968 0.979185i \(-0.565059\pi\)
0.949484 0.313817i \(-0.101608\pi\)
\(20\) −0.286210 0.0882840i −0.0639984 0.0197409i
\(21\) −3.45944 3.00538i −0.754911 0.655827i
\(22\) 4.77335 1.47238i 1.01768 0.313913i
\(23\) 1.29577 5.67715i 0.270187 1.18377i −0.639605 0.768704i \(-0.720902\pi\)
0.909792 0.415064i \(-0.136241\pi\)
\(24\) 0.613010 1.61994i 0.125130 0.330670i
\(25\) −3.06152 + 3.83902i −0.612303 + 0.767804i
\(26\) −2.33726 2.16866i −0.458374 0.425309i
\(27\) −3.38669 3.94086i −0.651768 0.758418i
\(28\) −1.60689 + 2.10188i −0.303673 + 0.397219i
\(29\) −4.64005 1.43126i −0.861635 0.265779i −0.167719 0.985835i \(-0.553640\pi\)
−0.693916 + 0.720056i \(0.744116\pi\)
\(30\) 0.384581 + 0.348178i 0.0702145 + 0.0635683i
\(31\) −3.85459 + 6.67635i −0.692305 + 1.19911i 0.278775 + 0.960356i \(0.410072\pi\)
−0.971081 + 0.238752i \(0.923262\pi\)
\(32\) −0.955573 0.294755i −0.168923 0.0521058i
\(33\) −8.57058 1.18473i −1.49195 0.206235i
\(34\) −2.68539 6.84226i −0.460541 1.17344i
\(35\) −0.410196 0.678019i −0.0693357 0.114606i
\(36\) −2.14856 + 2.09373i −0.358093 + 0.348955i
\(37\) 3.64620 + 1.12470i 0.599432 + 0.184900i 0.579597 0.814903i \(-0.303210\pi\)
0.0198344 + 0.999803i \(0.493686\pi\)
\(38\) 4.05765 + 5.08813i 0.658238 + 0.825404i
\(39\) 2.08034 + 5.11563i 0.333121 + 0.819157i
\(40\) 0.186745 0.234171i 0.0295270 0.0370257i
\(41\) 0.926930 + 0.631970i 0.144762 + 0.0986971i 0.633535 0.773714i \(-0.281603\pi\)
−0.488773 + 0.872411i \(0.662555\pi\)
\(42\) 4.06150 2.12231i 0.626703 0.327480i
\(43\) 7.32178 4.99190i 1.11656 0.761258i 0.143008 0.989722i \(-0.454323\pi\)
0.973552 + 0.228464i \(0.0733702\pi\)
\(44\) −0.373298 + 4.98131i −0.0562767 + 0.750961i
\(45\) −0.348650 0.828151i −0.0519736 0.123453i
\(46\) 4.81131 + 3.28030i 0.709389 + 0.483653i
\(47\) 1.77435 4.52097i 0.258815 0.659451i −0.741113 0.671380i \(-0.765702\pi\)
0.999929 + 0.0119288i \(0.00379716\pi\)
\(48\) 1.28401 + 1.16247i 0.185330 + 0.167788i
\(49\) −6.87328 + 1.32589i −0.981897 + 0.189413i
\(50\) −2.45514 4.25244i −0.347210 0.601385i
\(51\) −0.795965 + 12.7063i −0.111457 + 1.77924i
\(52\) 2.87264 1.38339i 0.398364 0.191842i
\(53\) 2.76027 0.851431i 0.379153 0.116953i −0.0993201 0.995056i \(-0.531667\pi\)
0.478473 + 0.878102i \(0.341191\pi\)
\(54\) 4.90574 1.71282i 0.667586 0.233085i
\(55\) −1.34800 0.649163i −0.181764 0.0875331i
\(56\) −1.36953 2.26371i −0.183011 0.302501i
\(57\) −2.64259 10.9580i −0.350019 1.45142i
\(58\) 3.02753 3.79640i 0.397534 0.498491i
\(59\) −5.15130 + 3.51210i −0.670643 + 0.457236i −0.850164 0.526518i \(-0.823497\pi\)
0.179522 + 0.983754i \(0.442545\pi\)
\(60\) −0.464613 + 0.230792i −0.0599813 + 0.0297952i
\(61\) 10.4255 9.67341i 1.33484 1.23855i 0.386119 0.922449i \(-0.373815\pi\)
0.948724 0.316104i \(-0.102375\pi\)
\(62\) −4.80660 6.02728i −0.610439 0.765466i
\(63\) −7.92923 + 0.356731i −0.998990 + 0.0449439i
\(64\) 0.623490 0.781831i 0.0779362 0.0977289i
\(65\) 0.0713654 + 0.952305i 0.00885179 + 0.118119i
\(66\) 4.23401 7.54530i 0.521171 0.928762i
\(67\) 5.32738 9.22729i 0.650843 1.12729i −0.332075 0.943253i \(-0.607749\pi\)
0.982919 0.184041i \(-0.0589178\pi\)
\(68\) 7.35037 0.891363
\(69\) −5.14951 8.67235i −0.619928 1.04403i
\(70\) 0.781012 0.134132i 0.0933487 0.0160318i
\(71\) −1.05524 + 4.62332i −0.125234 + 0.548687i 0.872915 + 0.487873i \(0.162227\pi\)
−0.998149 + 0.0608144i \(0.980630\pi\)
\(72\) −1.16404 2.76496i −0.137184 0.325854i
\(73\) 5.50272 + 0.829402i 0.644045 + 0.0970742i 0.462940 0.886390i \(-0.346795\pi\)
0.181105 + 0.983464i \(0.442033\pi\)
\(74\) −2.37906 + 2.98325i −0.276561 + 0.346796i
\(75\) 0.739313 + 8.47268i 0.0853686 + 0.978340i
\(76\) −6.21884 + 1.91826i −0.713350 + 0.220039i
\(77\) −9.50206 + 9.18588i −1.08286 + 1.04683i
\(78\) −5.52204 + 0.0675835i −0.625248 + 0.00765233i
\(79\) −0.810768 1.40429i −0.0912185 0.157995i 0.816806 0.576913i \(-0.195743\pi\)
−0.908024 + 0.418918i \(0.862409\pi\)
\(80\) 0.149758 + 0.259389i 0.0167435 + 0.0290006i
\(81\) −8.95445 0.904291i −0.994939 0.100477i
\(82\) −0.926930 + 0.631970i −0.102362 + 0.0697894i
\(83\) 1.73891 + 4.43067i 0.190870 + 0.486329i 0.993988 0.109491i \(-0.0349222\pi\)
−0.803118 + 0.595821i \(0.796827\pi\)
\(84\) 0.491773 + 4.55611i 0.0536568 + 0.497113i
\(85\) −0.804318 + 2.04937i −0.0872406 + 0.222285i
\(86\) 1.97189 + 8.63940i 0.212634 + 0.931610i
\(87\) −7.53233 + 3.74162i −0.807550 + 0.401143i
\(88\) −4.50059 2.16737i −0.479764 0.231042i
\(89\) −2.49229 6.35024i −0.264182 0.673124i 0.735810 0.677188i \(-0.236802\pi\)
−0.999992 + 0.00406373i \(0.998706\pi\)
\(90\) 0.898280 0.0219912i 0.0946870 0.00231807i
\(91\) 8.11015 + 2.32084i 0.850175 + 0.243291i
\(92\) −4.81131 + 3.28030i −0.501614 + 0.341995i
\(93\) 3.13035 + 12.9806i 0.324602 + 1.34602i
\(94\) 3.56021 + 3.30339i 0.367207 + 0.340719i
\(95\) 0.145667 1.94379i 0.0149451 0.199429i
\(96\) −1.55121 + 0.770550i −0.158320 + 0.0786439i
\(97\) 6.84584 11.8573i 0.695090 1.20393i −0.275061 0.961427i \(-0.588698\pi\)
0.970150 0.242504i \(-0.0779687\pi\)
\(98\) 1.27685 6.88256i 0.128982 0.695244i
\(99\) −12.1716 + 8.74233i −1.22329 + 0.878637i
\(100\) 4.85545 0.731841i 0.485545 0.0731841i
\(101\) 8.54803 4.11651i 0.850561 0.409608i 0.0427749 0.999085i \(-0.486380\pi\)
0.807786 + 0.589476i \(0.200666\pi\)
\(102\) −11.5372 5.38308i −1.14235 0.533004i
\(103\) 5.62062 2.70675i 0.553817 0.266704i −0.135975 0.990712i \(-0.543417\pi\)
0.689791 + 0.724008i \(0.257702\pi\)
\(104\) 0.238269 + 3.17948i 0.0233642 + 0.311773i
\(105\) −1.32411 0.361443i −0.129220 0.0352733i
\(106\) −0.215866 + 2.88053i −0.0209667 + 0.279782i
\(107\) −6.00442 15.2990i −0.580469 1.47901i −0.855617 0.517610i \(-0.826822\pi\)
0.275147 0.961402i \(-0.411273\pi\)
\(108\) −0.197848 + 5.19238i −0.0190379 + 0.499637i
\(109\) 1.49165 3.80067i 0.142875 0.364039i −0.841467 0.540308i \(-0.818308\pi\)
0.984342 + 0.176269i \(0.0564030\pi\)
\(110\) 1.09677 1.01765i 0.104573 0.0970293i
\(111\) 5.91899 2.94020i 0.561805 0.279072i
\(112\) 2.60758 0.447829i 0.246393 0.0423158i
\(113\) 2.17636 + 0.328034i 0.204735 + 0.0308588i 0.250609 0.968088i \(-0.419369\pi\)
−0.0458739 + 0.998947i \(0.514607\pi\)
\(114\) 11.1660 + 1.54349i 1.04579 + 0.144561i
\(115\) −0.388105 1.70040i −0.0361910 0.158563i
\(116\) 2.42789 + 4.20522i 0.225424 + 0.390445i
\(117\) 8.71691 + 3.93801i 0.805879 + 0.364070i
\(118\) −1.38734 6.07833i −0.127715 0.559555i
\(119\) 14.5238 + 12.9327i 1.33139 + 1.18554i
\(120\) −0.0450964 0.516814i −0.00411672 0.0471784i
\(121\) −3.10479 + 13.6030i −0.282253 + 1.23663i
\(122\) 5.19588 + 13.2389i 0.470413 + 1.19859i
\(123\) 1.91774 0.313101i 0.172917 0.0282314i
\(124\) 7.36669 2.27232i 0.661548 0.204061i
\(125\) −0.660508 + 2.89387i −0.0590776 + 0.258836i
\(126\) 2.56480 7.51144i 0.228491 0.669173i
\(127\) −4.11431 18.0260i −0.365086 1.59955i −0.740080 0.672519i \(-0.765212\pi\)
0.374994 0.927027i \(-0.377645\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) 3.23202 15.0045i 0.284564 1.32108i
\(130\) −0.912548 0.281484i −0.0800358 0.0246878i
\(131\) −4.79196 2.30768i −0.418675 0.201623i 0.212672 0.977124i \(-0.431783\pi\)
−0.631347 + 0.775500i \(0.717498\pi\)
\(132\) 5.47686 + 6.69794i 0.476699 + 0.582981i
\(133\) −15.6631 7.15151i −1.35816 0.620115i
\(134\) 6.64314 + 8.33023i 0.573880 + 0.719622i
\(135\) −1.42605 0.623342i −0.122735 0.0536488i
\(136\) −2.68539 + 6.84226i −0.230270 + 0.586719i
\(137\) 6.96013 + 3.35182i 0.594644 + 0.286366i 0.706900 0.707314i \(-0.250093\pi\)
−0.112256 + 0.993679i \(0.535808\pi\)
\(138\) 9.95419 1.62518i 0.847357 0.138344i
\(139\) 16.2462 + 11.0764i 1.37798 + 0.939492i 0.999906 + 0.0137170i \(0.00436638\pi\)
0.378075 + 0.925775i \(0.376586\pi\)
\(140\) −0.160476 + 0.776027i −0.0135627 + 0.0655863i
\(141\) −3.16886 7.79235i −0.266866 0.656234i
\(142\) −3.91820 2.67138i −0.328808 0.224178i
\(143\) 15.2193 4.69453i 1.27270 0.392577i
\(144\) 2.99910 0.0734222i 0.249925 0.00611852i
\(145\) −1.43814 + 0.216765i −0.119431 + 0.0180013i
\(146\) −2.78244 + 4.81933i −0.230276 + 0.398850i
\(147\) −7.04463 + 9.86779i −0.581031 + 0.813881i
\(148\) −1.90786 3.30451i −0.156825 0.271629i
\(149\) 14.8286 + 18.5945i 1.21481 + 1.52332i 0.783849 + 0.620951i \(0.213253\pi\)
0.430960 + 0.902371i \(0.358175\pi\)
\(150\) −8.15709 2.40721i −0.666024 0.196548i
\(151\) 0.221138 0.968868i 0.0179959 0.0788454i −0.965133 0.261762i \(-0.915697\pi\)
0.983128 + 0.182916i \(0.0585537\pi\)
\(152\) 0.486341 6.48977i 0.0394475 0.526390i
\(153\) 14.1665 + 16.8986i 1.14529 + 1.36617i
\(154\) −5.07940 12.2012i −0.409310 0.983201i
\(155\) −0.172554 + 2.30257i −0.0138599 + 0.184947i
\(156\) 1.95452 5.16501i 0.156487 0.413532i
\(157\) 3.40835 2.32377i 0.272016 0.185457i −0.419628 0.907696i \(-0.637839\pi\)
0.691643 + 0.722239i \(0.256887\pi\)
\(158\) 1.60342 0.241677i 0.127562 0.0192268i
\(159\) 2.44839 4.36320i 0.194170 0.346024i
\(160\) −0.296171 + 0.0446406i −0.0234144 + 0.00352915i
\(161\) −15.2784 1.98373i −1.20410 0.156340i
\(162\) 4.11321 8.00509i 0.323164 0.628939i
\(163\) −17.0224 + 11.6057i −1.33330 + 0.909026i −0.999435 0.0335959i \(-0.989304\pi\)
−0.333861 + 0.942622i \(0.608352\pi\)
\(164\) −0.249639 1.09374i −0.0194935 0.0854067i
\(165\) −2.46677 + 0.794087i −0.192038 + 0.0618196i
\(166\) −4.75969 −0.369424
\(167\) −6.38229 + 5.92190i −0.493877 + 0.458251i −0.887357 0.461082i \(-0.847461\pi\)
0.393481 + 0.919333i \(0.371271\pi\)
\(168\) −4.42083 1.20676i −0.341074 0.0931033i
\(169\) 2.07759 + 1.92772i 0.159815 + 0.148286i
\(170\) −1.61385 1.49744i −0.123777 0.114848i
\(171\) −16.3957 10.6001i −1.25381 0.810611i
\(172\) −8.76260 1.32075i −0.668142 0.100706i
\(173\) 2.98345 0.920272i 0.226827 0.0699670i −0.179258 0.983802i \(-0.557370\pi\)
0.406085 + 0.913835i \(0.366894\pi\)
\(174\) −0.731105 8.37861i −0.0554250 0.635181i
\(175\) 10.8816 + 7.09694i 0.822575 + 0.536478i
\(176\) 3.66180 3.39765i 0.276018 0.256108i
\(177\) −2.27392 + 10.5566i −0.170918 + 0.793482i
\(178\) 6.82181 0.511316
\(179\) −6.92369 + 6.42424i −0.517501 + 0.480170i −0.895142 0.445782i \(-0.852926\pi\)
0.377641 + 0.925952i \(0.376735\pi\)
\(180\) −0.307708 + 0.844220i −0.0229352 + 0.0629244i
\(181\) 3.15785 3.95982i 0.234721 0.294331i −0.650495 0.759510i \(-0.725439\pi\)
0.885217 + 0.465179i \(0.154010\pi\)
\(182\) −5.12338 + 6.70163i −0.379770 + 0.496758i
\(183\) 1.54009 24.5850i 0.113847 1.81738i
\(184\) −1.29577 5.67715i −0.0955256 0.418525i
\(185\) 1.13011 0.170336i 0.0830871 0.0125234i
\(186\) −13.2269 1.82838i −0.969846 0.134064i
\(187\) 36.3070 + 5.47240i 2.65503 + 0.400182i
\(188\) −4.37573 + 2.10724i −0.319133 + 0.153686i
\(189\) −9.52677 + 9.91165i −0.692970 + 0.720966i
\(190\) 1.75621 + 0.845745i 0.127409 + 0.0613568i
\(191\) 6.58488 + 4.48949i 0.476465 + 0.324848i 0.777628 0.628724i \(-0.216423\pi\)
−0.301163 + 0.953573i \(0.597375\pi\)
\(192\) −0.150564 1.72549i −0.0108660 0.124527i
\(193\) −1.49376 + 19.9328i −0.107523 + 1.43480i 0.638882 + 0.769305i \(0.279397\pi\)
−0.746405 + 0.665492i \(0.768222\pi\)
\(194\) 8.53662 + 10.7046i 0.612894 + 0.768545i
\(195\) 1.22619 + 1.11013i 0.0878095 + 0.0794979i
\(196\) 5.94031 + 3.70307i 0.424308 + 0.264505i
\(197\) −8.48791 −0.604738 −0.302369 0.953191i \(-0.597778\pi\)
−0.302369 + 0.953191i \(0.597778\pi\)
\(198\) −3.69123 14.5241i −0.262324 1.03218i
\(199\) 10.2105 + 6.96137i 0.723800 + 0.493478i 0.868308 0.496025i \(-0.165208\pi\)
−0.144508 + 0.989504i \(0.546160\pi\)
\(200\) −1.09264 + 4.78718i −0.0772615 + 0.338505i
\(201\) −4.32641 17.9403i −0.305161 1.26541i
\(202\) 0.709009 + 9.46107i 0.0498857 + 0.665678i
\(203\) −2.60164 + 12.5810i −0.182599 + 0.883012i
\(204\) 9.22596 8.77298i 0.645947 0.614232i
\(205\) 0.332264 + 0.0500808i 0.0232064 + 0.00349779i
\(206\) 0.466198 + 6.22098i 0.0324815 + 0.433436i
\(207\) −16.8143 4.73911i −1.16868 0.329391i
\(208\) −3.04674 0.939795i −0.211253 0.0651630i
\(209\) −32.1460 + 4.84523i −2.22359 + 0.335152i
\(210\) 0.820210 1.10053i 0.0565999 0.0759438i
\(211\) −12.1635 1.83335i −0.837370 0.126213i −0.283662 0.958924i \(-0.591549\pi\)
−0.553708 + 0.832711i \(0.686787\pi\)
\(212\) −2.60254 1.25332i −0.178743 0.0860783i
\(213\) 4.19362 + 7.06253i 0.287342 + 0.483917i
\(214\) 16.4351 1.12348
\(215\) 1.32709 2.29859i 0.0905070 0.156763i
\(216\) −4.76117 2.08116i −0.323957 0.141605i
\(217\) 18.5541 + 8.47152i 1.25953 + 0.575084i
\(218\) 2.99298 + 2.77708i 0.202711 + 0.188088i
\(219\) 7.89678 5.52670i 0.533615 0.373460i
\(220\) 0.546611 + 1.39274i 0.0368525 + 0.0938987i
\(221\) −8.56207 21.8158i −0.575947 1.46749i
\(222\) 0.574511 + 6.58401i 0.0385586 + 0.441890i
\(223\) 9.60267 + 8.90998i 0.643042 + 0.596656i 0.932778 0.360450i \(-0.117377\pi\)
−0.289736 + 0.957107i \(0.593567\pi\)
\(224\) −0.535782 + 2.59093i −0.0357985 + 0.173114i
\(225\) 11.0405 + 9.75225i 0.736032 + 0.650150i
\(226\) −1.10047 + 1.90608i −0.0732024 + 0.126790i
\(227\) −16.6785 −1.10699 −0.553495 0.832852i \(-0.686706\pi\)
−0.553495 + 0.832852i \(0.686706\pi\)
\(228\) −5.51618 + 9.83019i −0.365318 + 0.651021i
\(229\) −4.20999 2.02742i −0.278204 0.133976i 0.289579 0.957154i \(-0.406485\pi\)
−0.567783 + 0.823178i \(0.692199\pi\)
\(230\) 1.72465 + 0.259949i 0.113720 + 0.0171405i
\(231\) −0.962957 + 22.8710i −0.0633579 + 1.50480i
\(232\) −4.80154 + 0.723716i −0.315237 + 0.0475143i
\(233\) −2.25240 0.694774i −0.147560 0.0455162i 0.220095 0.975478i \(-0.429363\pi\)
−0.367655 + 0.929962i \(0.619839\pi\)
\(234\) −6.85044 + 6.67563i −0.447827 + 0.436399i
\(235\) −0.108707 1.45059i −0.00709125 0.0946262i
\(236\) 6.16501 + 0.929225i 0.401308 + 0.0604874i
\(237\) −2.69373 0.794938i −0.174977 0.0516367i
\(238\) −17.3449 + 8.79493i −1.12430 + 0.570091i
\(239\) −1.51855 20.2637i −0.0982270 1.31075i −0.800712 0.599050i \(-0.795545\pi\)
0.702485 0.711699i \(-0.252074\pi\)
\(240\) 0.497564 + 0.146834i 0.0321176 + 0.00947811i
\(241\) −0.568680 + 2.49155i −0.0366319 + 0.160495i −0.989936 0.141518i \(-0.954802\pi\)
0.953304 + 0.302013i \(0.0976587\pi\)
\(242\) −11.5283 7.85989i −0.741070 0.505253i
\(243\) −12.3187 + 9.55249i −0.790244 + 0.612793i
\(244\) −14.2220 −0.910470
\(245\) −1.68248 + 1.25102i −0.107490 + 0.0799246i
\(246\) −0.409171 + 1.89956i −0.0260878 + 0.121112i
\(247\) 12.9374 + 16.2230i 0.823186 + 1.03224i
\(248\) −0.576108 + 7.68763i −0.0365829 + 0.488165i
\(249\) 7.47083 + 3.48578i 0.473445 + 0.220902i
\(250\) −2.45252 1.67210i −0.155111 0.105753i
\(251\) 5.19174 + 2.50021i 0.327700 + 0.157812i 0.590498 0.807039i \(-0.298931\pi\)
−0.262799 + 0.964851i \(0.584646\pi\)
\(252\) 6.05518 + 5.13175i 0.381440 + 0.323270i
\(253\) −26.2076 + 12.6209i −1.64766 + 0.793470i
\(254\) 18.2830 + 2.75572i 1.14718 + 0.172909i
\(255\) 1.43646 + 3.53230i 0.0899544 + 0.221201i
\(256\) −0.988831 + 0.149042i −0.0618019 + 0.00931514i
\(257\) 6.37430 + 27.9276i 0.397618 + 1.74208i 0.636730 + 0.771087i \(0.280286\pi\)
−0.239112 + 0.970992i \(0.576856\pi\)
\(258\) 12.7866 + 8.49038i 0.796056 + 0.528588i
\(259\) 2.04440 9.88628i 0.127033 0.614304i
\(260\) 0.595417 0.746630i 0.0369262 0.0463040i
\(261\) −4.98857 + 13.6865i −0.308785 + 0.847175i
\(262\) 3.89886 3.61761i 0.240872 0.223497i
\(263\) −13.4728 −0.830768 −0.415384 0.909646i \(-0.636353\pi\)
−0.415384 + 0.909646i \(0.636353\pi\)
\(264\) −8.23586 + 2.65123i −0.506882 + 0.163172i
\(265\) 0.634225 0.588475i 0.0389601 0.0361497i
\(266\) 12.3795 11.9676i 0.759037 0.733780i
\(267\) −10.7075 4.99598i −0.655291 0.305749i
\(268\) −10.1814 + 3.14055i −0.621928 + 0.191839i
\(269\) 10.9074 + 1.64403i 0.665037 + 0.100238i 0.472881 0.881126i \(-0.343214\pi\)
0.192156 + 0.981364i \(0.438452\pi\)
\(270\) 1.10125 1.09974i 0.0670198 0.0669280i
\(271\) −18.2044 16.8912i −1.10584 1.02607i −0.999496 0.0317365i \(-0.989896\pi\)
−0.106340 0.994330i \(-0.533913\pi\)
\(272\) −5.38820 4.99952i −0.326708 0.303140i
\(273\) 12.9497 6.76676i 0.783749 0.409543i
\(274\) −5.66294 + 5.25444i −0.342111 + 0.317433i
\(275\) 24.5283 1.47911
\(276\) −2.12384 + 9.85984i −0.127840 + 0.593493i
\(277\) 1.50860 + 6.60959i 0.0906428 + 0.397132i 0.999814 0.0192907i \(-0.00614080\pi\)
−0.909171 + 0.416423i \(0.863284\pi\)
\(278\) −16.2462 + 11.0764i −0.974380 + 0.664321i
\(279\) 19.4220 + 12.5566i 1.16277 + 0.751747i
\(280\) −0.663755 0.432897i −0.0396669 0.0258705i
\(281\) 14.0060 2.11106i 0.835525 0.125935i 0.282675 0.959216i \(-0.408778\pi\)
0.552850 + 0.833281i \(0.313540\pi\)
\(282\) 8.41141 0.102946i 0.500892 0.00613035i
\(283\) −1.60770 + 0.242322i −0.0955679 + 0.0144046i −0.196652 0.980473i \(-0.563007\pi\)
0.101084 + 0.994878i \(0.467769\pi\)
\(284\) 3.91820 2.67138i 0.232503 0.158518i
\(285\) −2.13716 2.61365i −0.126595 0.154819i
\(286\) −1.19022 + 15.8824i −0.0703791 + 0.939144i
\(287\) 1.43113 2.60038i 0.0844770 0.153495i
\(288\) −1.02735 + 2.81861i −0.0605371 + 0.166088i
\(289\) 2.76710 36.9243i 0.162770 2.17202i
\(290\) 0.323631 1.41792i 0.0190043 0.0832631i
\(291\) −5.55956 23.0538i −0.325907 1.35144i
\(292\) −3.46964 4.35080i −0.203046 0.254611i
\(293\) −15.2356 26.3889i −0.890076 1.54166i −0.839783 0.542922i \(-0.817318\pi\)
−0.0502933 0.998734i \(-0.516016\pi\)
\(294\) −6.61197 10.1628i −0.385618 0.592705i
\(295\) −0.933689 + 1.61720i −0.0543615 + 0.0941568i
\(296\) 3.77310 0.568704i 0.219307 0.0330552i
\(297\) −4.84304 + 25.5004i −0.281021 + 1.47968i
\(298\) −22.7267 + 7.01025i −1.31652 + 0.406093i
\(299\) 15.3403 + 10.4589i 0.887155 + 0.604852i
\(300\) 5.22093 6.71377i 0.301430 0.387620i
\(301\) −14.9904 18.0272i −0.864033 1.03907i
\(302\) 0.821103 + 0.559819i 0.0472492 + 0.0322139i
\(303\) 5.81599 15.3694i 0.334120 0.882947i
\(304\) 5.86348 + 2.82370i 0.336293 + 0.161950i
\(305\) 1.55625 3.96526i 0.0891106 0.227050i
\(306\) −20.9060 + 7.01343i −1.19512 + 0.400931i
\(307\) 10.9061 + 13.6758i 0.622445 + 0.780521i 0.988686 0.149999i \(-0.0479270\pi\)
−0.366241 + 0.930520i \(0.619356\pi\)
\(308\) 13.2135 0.270684i 0.752908 0.0154236i
\(309\) 3.82422 10.1059i 0.217552 0.574904i
\(310\) −2.08036 1.00185i −0.118157 0.0569012i
\(311\) −0.517235 0.159546i −0.0293297 0.00904701i 0.280056 0.959984i \(-0.409647\pi\)
−0.309385 + 0.950937i \(0.600123\pi\)
\(312\) 4.09391 + 3.70640i 0.231772 + 0.209834i
\(313\) −2.28053 3.95000i −0.128903 0.223267i 0.794349 0.607462i \(-0.207812\pi\)
−0.923252 + 0.384195i \(0.874479\pi\)
\(314\) 0.917929 + 4.02171i 0.0518017 + 0.226958i
\(315\) −2.09338 + 1.12671i −0.117949 + 0.0634830i
\(316\) −0.360825 + 1.58088i −0.0202980 + 0.0889314i
\(317\) 1.74104 0.537038i 0.0977863 0.0301631i −0.245476 0.969403i \(-0.578944\pi\)
0.343262 + 0.939240i \(0.388468\pi\)
\(318\) 3.16709 + 3.87320i 0.177601 + 0.217198i
\(319\) 8.86169 + 22.5792i 0.496159 + 1.26419i
\(320\) 0.0666487 0.292007i 0.00372577 0.0163237i
\(321\) −25.7966 12.0363i −1.43983 0.671803i
\(322\) 7.42842 13.4975i 0.413969 0.752185i
\(323\) 10.6445 + 46.6366i 0.592276 + 2.59493i
\(324\) 5.94901 + 6.75347i 0.330500 + 0.375193i
\(325\) −7.82796 13.5584i −0.434217 0.752086i
\(326\) −4.58444 20.0857i −0.253908 1.11245i
\(327\) −2.66399 6.55085i −0.147319 0.362263i
\(328\) 1.10934 + 0.167206i 0.0612528 + 0.00923238i
\(329\) −12.3537 3.53521i −0.681083 0.194902i
\(330\) 0.162019 2.58637i 0.00891883 0.142375i
\(331\) −24.3773 + 22.6188i −1.33990 + 1.24324i −0.393863 + 0.919169i \(0.628861\pi\)
−0.946033 + 0.324072i \(0.894948\pi\)
\(332\) 1.73891 4.43067i 0.0954351 0.243165i
\(333\) 3.92007 10.7550i 0.214819 0.589372i
\(334\) −3.18083 8.10462i −0.174047 0.443465i
\(335\) 0.238484 3.18235i 0.0130298 0.173870i
\(336\) 2.73845 3.67436i 0.149395 0.200453i
\(337\) −1.87853 25.0672i −0.102330 1.36550i −0.777986 0.628281i \(-0.783759\pi\)
0.675656 0.737217i \(-0.263860\pi\)
\(338\) −2.55349 + 1.22970i −0.138892 + 0.0668868i
\(339\) 3.12323 2.18585i 0.169631 0.118719i
\(340\) 1.98353 0.955219i 0.107572 0.0518040i
\(341\) 38.0794 5.73955i 2.06212 0.310814i
\(342\) 15.8574 11.3897i 0.857470 0.615885i
\(343\) 5.22216 + 17.7688i 0.281970 + 0.959423i
\(344\) 4.43079 7.67435i 0.238892 0.413773i
\(345\) −2.51664 1.67107i −0.135491 0.0899674i
\(346\) −0.233319 + 3.11343i −0.0125433 + 0.167379i
\(347\) 7.58411 + 7.03703i 0.407136 + 0.377767i 0.856988 0.515336i \(-0.172333\pi\)
−0.449852 + 0.893103i \(0.648523\pi\)
\(348\) 8.06653 + 2.38048i 0.432412 + 0.127607i
\(349\) 2.46484 1.68050i 0.131940 0.0899551i −0.495552 0.868578i \(-0.665034\pi\)
0.627492 + 0.778623i \(0.284082\pi\)
\(350\) −10.5819 + 7.53663i −0.565624 + 0.402850i
\(351\) 15.6414 5.46114i 0.834876 0.291494i
\(352\) 1.82498 + 4.64997i 0.0972717 + 0.247844i
\(353\) −12.3028 5.92473i −0.654814 0.315342i 0.0768145 0.997045i \(-0.475525\pi\)
−0.731628 + 0.681704i \(0.761239\pi\)
\(354\) −8.99610 5.97349i −0.478137 0.317487i
\(355\) 0.316062 + 1.38476i 0.0167748 + 0.0734954i
\(356\) −2.49229 + 6.35024i −0.132091 + 0.336562i
\(357\) 33.6656 1.10196i 1.78177 0.0583218i
\(358\) −3.45065 8.79212i −0.182373 0.464678i
\(359\) 23.5301 16.0425i 1.24187 0.846692i 0.249306 0.968425i \(-0.419798\pi\)
0.992563 + 0.121733i \(0.0388452\pi\)
\(360\) −0.673444 0.594865i −0.0354936 0.0313521i
\(361\) −11.6768 20.2248i −0.614570 1.06447i
\(362\) 2.53240 + 4.38625i 0.133100 + 0.230536i
\(363\) 12.3387 + 20.7797i 0.647614 + 1.09065i
\(364\) −4.36658 7.21760i −0.228871 0.378305i
\(365\) 1.59272 0.491290i 0.0833669 0.0257153i
\(366\) 22.3229 + 10.4155i 1.16684 + 0.544429i
\(367\) −12.1473 + 15.2323i −0.634085 + 0.795118i −0.990249 0.139306i \(-0.955513\pi\)
0.356164 + 0.934423i \(0.384084\pi\)
\(368\) 5.75811 + 0.867895i 0.300162 + 0.0452422i
\(369\) 2.03339 2.68190i 0.105854 0.139614i
\(370\) −0.254313 + 1.11422i −0.0132211 + 0.0579254i
\(371\) −2.93725 7.05555i −0.152494 0.366306i
\(372\) 6.53433 11.6446i 0.338789 0.603745i
\(373\) 1.90904 0.0988464 0.0494232 0.998778i \(-0.484262\pi\)
0.0494232 + 0.998778i \(0.484262\pi\)
\(374\) −18.3586 + 31.7980i −0.949298 + 1.64423i
\(375\) 2.62491 + 4.42065i 0.135550 + 0.228281i
\(376\) −0.362941 4.84311i −0.0187173 0.249764i
\(377\) 9.65294 12.1044i 0.497151 0.623408i
\(378\) −5.74597 12.4893i −0.295541 0.642383i
\(379\) 13.6170 + 17.0751i 0.699457 + 0.877091i 0.996983 0.0776226i \(-0.0247329\pi\)
−0.297526 + 0.954714i \(0.596161\pi\)
\(380\) −1.42890 + 1.32582i −0.0733008 + 0.0680132i
\(381\) −26.6789 17.7151i −1.36680 0.907570i
\(382\) −6.58488 + 4.48949i −0.336912 + 0.229702i
\(383\) 6.56758 8.23549i 0.335588 0.420814i −0.585193 0.810894i \(-0.698981\pi\)
0.920781 + 0.390080i \(0.127553\pi\)
\(384\) 1.66122 + 0.490238i 0.0847740 + 0.0250173i
\(385\) −1.37042 + 3.71370i −0.0698433 + 0.189268i
\(386\) −18.0092 8.67278i −0.916645 0.441433i
\(387\) −13.8518 22.6908i −0.704129 1.15344i
\(388\) −13.0834 + 4.03569i −0.664209 + 0.204881i
\(389\) 1.87631 0.903585i 0.0951329 0.0458136i −0.385712 0.922619i \(-0.626044\pi\)
0.480845 + 0.876806i \(0.340330\pi\)
\(390\) −1.48137 + 0.735856i −0.0750119 + 0.0372615i
\(391\) 21.4011 + 37.0679i 1.08230 + 1.87460i
\(392\) −5.61733 + 4.17679i −0.283718 + 0.210960i
\(393\) −8.76904 + 2.82287i −0.442340 + 0.142395i
\(394\) 3.10098 7.90117i 0.156225 0.398055i
\(395\) −0.401285 0.273591i −0.0201908 0.0137659i
\(396\) 14.8687 + 1.87019i 0.747179 + 0.0939803i
\(397\) 0.524670 7.00124i 0.0263324 0.351382i −0.968439 0.249252i \(-0.919815\pi\)
0.994771 0.102130i \(-0.0325657\pi\)
\(398\) −10.2105 + 6.96137i −0.511804 + 0.348942i
\(399\) −28.1955 + 9.71817i −1.41154 + 0.486517i
\(400\) −4.05707 2.76606i −0.202854 0.138303i
\(401\) −2.34656 + 2.94249i −0.117182 + 0.146941i −0.836962 0.547260i \(-0.815671\pi\)
0.719781 + 0.694201i \(0.244242\pi\)
\(402\) 18.2808 + 2.52698i 0.911762 + 0.126035i
\(403\) −15.3253 19.2173i −0.763408 0.957284i
\(404\) −9.06609 2.79652i −0.451055 0.139132i
\(405\) −2.53392 + 0.919651i −0.125912 + 0.0456978i
\(406\) −10.7608 7.01815i −0.534051 0.348305i
\(407\) −6.96362 17.7430i −0.345174 0.879488i
\(408\) 4.79592 + 11.7933i 0.237433 + 0.583857i
\(409\) 31.8783 + 9.83315i 1.57628 + 0.486218i 0.954809 0.297219i \(-0.0960593\pi\)
0.621471 + 0.783437i \(0.286535\pi\)
\(410\) −0.168009 + 0.291000i −0.00829736 + 0.0143714i
\(411\) 12.7367 4.10011i 0.628255 0.202244i
\(412\) −5.96127 1.83881i −0.293691 0.0905915i
\(413\) 10.5466 + 12.6832i 0.518966 + 0.624100i
\(414\) 10.5545 13.9206i 0.518725 0.684162i
\(415\) 1.04504 + 0.969658i 0.0512991 + 0.0475986i
\(416\) 1.98793 2.49278i 0.0974662 0.122219i
\(417\) 33.6119 5.48768i 1.64598 0.268733i
\(418\) 7.23396 31.6940i 0.353824 1.55021i
\(419\) 28.1744 8.69066i 1.37641 0.424566i 0.483714 0.875226i \(-0.339287\pi\)
0.892696 + 0.450660i \(0.148811\pi\)
\(420\) 0.724798 + 1.16558i 0.0353665 + 0.0568745i
\(421\) −8.45470 2.60793i −0.412057 0.127103i 0.0817941 0.996649i \(-0.473935\pi\)
−0.493851 + 0.869546i \(0.664411\pi\)
\(422\) 6.15044 10.6529i 0.299399 0.518574i
\(423\) −13.2780 5.99855i −0.645597 0.291660i
\(424\) 2.11750 1.96475i 0.102835 0.0954167i
\(425\) −2.69719 35.9915i −0.130833 1.74584i
\(426\) −8.10643 + 1.32350i −0.392758 + 0.0641239i
\(427\) −28.1016 25.0231i −1.35993 1.21095i
\(428\) −6.00442 + 15.2990i −0.290235 + 0.739506i
\(429\) 13.4997 24.0574i 0.651771 1.16150i
\(430\) 1.65486 + 2.07513i 0.0798044 + 0.100071i
\(431\) −1.51909 20.2709i −0.0731720 0.976413i −0.906109 0.423045i \(-0.860961\pi\)
0.832937 0.553368i \(-0.186658\pi\)
\(432\) 3.67675 3.67172i 0.176898 0.176656i
\(433\) 0.468493 0.225614i 0.0225144 0.0108423i −0.422593 0.906320i \(-0.638880\pi\)
0.445107 + 0.895477i \(0.353166\pi\)
\(434\) −14.6645 + 14.1765i −0.703918 + 0.680495i
\(435\) −1.54639 + 1.98856i −0.0741439 + 0.0953441i
\(436\) −3.67857 + 1.77151i −0.176172 + 0.0848399i
\(437\) −27.7804 25.7764i −1.32892 1.23305i
\(438\) 2.25964 + 9.37004i 0.107970 + 0.447718i
\(439\) −3.27525 + 8.34519i −0.156319 + 0.398294i −0.987481 0.157735i \(-0.949581\pi\)
0.831162 + 0.556030i \(0.187676\pi\)
\(440\) −1.49617 −0.0713270
\(441\) 2.93543 + 20.7938i 0.139782 + 0.990182i
\(442\) 23.4358 1.11473
\(443\) 10.1246 25.7970i 0.481033 1.22565i −0.460177 0.887827i \(-0.652214\pi\)
0.941209 0.337824i \(-0.109691\pi\)
\(444\) −6.33877 1.87061i −0.300825 0.0887753i
\(445\) −1.49780 1.38976i −0.0710027 0.0658809i
\(446\) −11.8023 + 5.68369i −0.558856 + 0.269131i
\(447\) 40.8058 + 5.64067i 1.93005 + 0.266794i
\(448\) −2.21609 1.44532i −0.104700 0.0682850i
\(449\) −26.6775 + 12.8472i −1.25899 + 0.606297i −0.939907 0.341430i \(-0.889089\pi\)
−0.319081 + 0.947727i \(0.603374\pi\)
\(450\) −13.1117 + 6.71439i −0.618089 + 0.316519i
\(451\) −0.418790 5.58836i −0.0197200 0.263146i
\(452\) −1.37227 1.72077i −0.0645460 0.0809382i
\(453\) −0.878821 1.48003i −0.0412906 0.0695380i
\(454\) 6.09334 15.5256i 0.285974 0.728651i
\(455\) 2.49017 0.427665i 0.116741 0.0200493i
\(456\) −7.13538 8.72624i −0.334145 0.408644i
\(457\) −2.02430 27.0124i −0.0946927 1.26359i −0.818873 0.573975i \(-0.805400\pi\)
0.724180 0.689611i \(-0.242219\pi\)
\(458\) 3.42536 3.17827i 0.160056 0.148511i
\(459\) 37.9505 + 4.30233i 1.77138 + 0.200816i
\(460\) −0.872064 + 1.51046i −0.0406602 + 0.0704255i
\(461\) 33.5734 + 10.3560i 1.56367 + 0.482328i 0.951305 0.308250i \(-0.0997433\pi\)
0.612362 + 0.790577i \(0.290219\pi\)
\(462\) −20.9382 9.25210i −0.974132 0.430446i
\(463\) 39.4025 12.1541i 1.83119 0.564847i 0.831229 0.555930i \(-0.187638\pi\)
0.999960 0.00891764i \(-0.00283861\pi\)
\(464\) 1.08051 4.73403i 0.0501615 0.219772i
\(465\) 2.53164 + 3.09607i 0.117402 + 0.143577i
\(466\) 1.46964 1.84287i 0.0680799 0.0853695i
\(467\) −6.78295 6.29365i −0.313877 0.291236i 0.507464 0.861673i \(-0.330583\pi\)
−0.821341 + 0.570438i \(0.806774\pi\)
\(468\) −3.71142 8.81577i −0.171560 0.407509i
\(469\) −25.6434 11.7084i −1.18410 0.540642i
\(470\) 1.39003 + 0.428768i 0.0641174 + 0.0197776i
\(471\) 1.50453 6.98474i 0.0693252 0.321840i
\(472\) −3.11732 + 5.39936i −0.143486 + 0.248526i
\(473\) −42.2994 13.0476i −1.94493 0.599931i
\(474\) 1.72412 2.21710i 0.0791914 0.101835i
\(475\) 11.6748 + 29.7470i 0.535678 + 1.36489i
\(476\) −1.85018 19.3590i −0.0848027 0.887320i
\(477\) −2.13452 8.39882i −0.0977329 0.384556i
\(478\) 19.4177 + 5.98957i 0.888145 + 0.273957i
\(479\) −19.2403 24.1265i −0.879110 1.10237i −0.994042 0.108996i \(-0.965236\pi\)
0.114932 0.993373i \(-0.463335\pi\)
\(480\) −0.318465 + 0.409525i −0.0145359 + 0.0186922i
\(481\) −7.58539 + 9.51177i −0.345864 + 0.433699i
\(482\) −2.11156 1.43963i −0.0961787 0.0655735i
\(483\) −21.5446 + 15.7455i −0.980314 + 0.716444i
\(484\) 11.5283 7.85989i 0.524015 0.357268i
\(485\) 0.306459 4.08942i 0.0139156 0.185691i
\(486\) −4.39165 14.9571i −0.199209 0.678466i
\(487\) −17.0763 11.6424i −0.773799 0.527567i 0.110843 0.993838i \(-0.464645\pi\)
−0.884642 + 0.466271i \(0.845597\pi\)
\(488\) 5.19588 13.2389i 0.235206 0.599296i
\(489\) −7.51413 + 34.8841i −0.339801 + 1.57751i
\(490\) −0.549860 2.02323i −0.0248402 0.0914001i
\(491\) −7.66420 13.2748i −0.345880 0.599082i 0.639633 0.768681i \(-0.279086\pi\)
−0.985513 + 0.169598i \(0.945753\pi\)
\(492\) −1.61876 1.07487i −0.0729795 0.0484591i
\(493\) 32.1571 15.4861i 1.44828 0.697457i
\(494\) −19.8281 + 6.11615i −0.892108 + 0.275179i
\(495\) −2.14844 + 3.94092i −0.0965654 + 0.177131i
\(496\) −6.94574 3.34489i −0.311873 0.150190i
\(497\) 12.4423 + 1.61550i 0.558113 + 0.0724650i
\(498\) −5.97422 + 5.68090i −0.267711 + 0.254567i
\(499\) −14.4181 + 18.0797i −0.645443 + 0.809360i −0.991672 0.128790i \(-0.958891\pi\)
0.346229 + 0.938150i \(0.387462\pi\)
\(500\) 2.45252 1.67210i 0.109680 0.0747786i
\(501\) −0.942816 + 15.0505i −0.0421219 + 0.672409i
\(502\) −4.22413 + 3.91942i −0.188532 + 0.174932i
\(503\) −12.7807 16.0265i −0.569863 0.714586i 0.410484 0.911868i \(-0.365360\pi\)
−0.980347 + 0.197282i \(0.936788\pi\)
\(504\) −6.98921 + 3.76177i −0.311324 + 0.167563i
\(505\) 1.77176 2.22172i 0.0788425 0.0988654i
\(506\) −2.17377 29.0069i −0.0966357 1.28951i
\(507\) 4.90855 0.0600751i 0.217996 0.00266803i
\(508\) −9.24477 + 16.0124i −0.410170 + 0.710436i
\(509\) 40.8868 1.81228 0.906138 0.422982i \(-0.139017\pi\)
0.906138 + 0.422982i \(0.139017\pi\)
\(510\) −3.81292 + 0.0466658i −0.168839 + 0.00206640i
\(511\) 0.799335 14.7016i 0.0353605 0.650359i
\(512\) 0.222521 0.974928i 0.00983413 0.0430861i
\(513\) −33.2312 + 6.26409i −1.46719 + 0.276566i
\(514\) −28.3259 4.26944i −1.24940 0.188317i
\(515\) 1.16500 1.46086i 0.0513359 0.0643732i
\(516\) −12.5749 + 8.80078i −0.553580 + 0.387433i
\(517\) −23.1827 + 7.15092i −1.01957 + 0.314497i
\(518\) 8.45598 + 5.51494i 0.371534 + 0.242313i
\(519\) 2.64635 4.71598i 0.116162 0.207008i
\(520\) 0.477488 + 0.827033i 0.0209392 + 0.0362678i
\(521\) 2.67396 + 4.63144i 0.117148 + 0.202907i 0.918637 0.395104i \(-0.129291\pi\)
−0.801488 + 0.598011i \(0.795958\pi\)
\(522\) −10.9179 9.64398i −0.477864 0.422106i
\(523\) −14.2556 + 9.71932i −0.623355 + 0.424996i −0.833380 0.552700i \(-0.813598\pi\)
0.210026 + 0.977696i \(0.432645\pi\)
\(524\) 1.94313 + 4.95101i 0.0848859 + 0.216286i
\(525\) 22.1288 4.07984i 0.965781 0.178059i
\(526\) 4.92216 12.5415i 0.214617 0.546834i
\(527\) −12.6092 55.2446i −0.549266 2.40649i
\(528\) 0.540934 8.63515i 0.0235411 0.375797i
\(529\) −9.82872 4.73326i −0.427336 0.205794i
\(530\) 0.316087 + 0.805378i 0.0137300 + 0.0349834i
\(531\) 9.74560 + 15.9643i 0.422923 + 0.692794i
\(532\) 6.61757 + 15.8960i 0.286908 + 0.689180i
\(533\) −2.95541 + 2.01497i −0.128013 + 0.0872779i
\(534\) 8.56253 8.14213i 0.370537 0.352344i
\(535\) −3.60851 3.34821i −0.156010 0.144756i
\(536\) 0.796231 10.6250i 0.0343920 0.458929i
\(537\) −1.02279 + 16.3272i −0.0441368 + 0.704572i
\(538\) −5.51531 + 9.55279i −0.237782 + 0.411850i
\(539\) 26.5851 + 22.7139i 1.14510 + 0.978355i
\(540\) 0.621388 + 1.42690i 0.0267403 + 0.0614041i
\(541\) −19.7556 + 2.97768i −0.849362 + 0.128021i −0.559277 0.828981i \(-0.688921\pi\)
−0.290084 + 0.957001i \(0.593683\pi\)
\(542\) 22.3744 10.7749i 0.961061 0.462823i
\(543\) −0.762577 8.73929i −0.0327253 0.375039i
\(544\) 6.62245 3.18920i 0.283935 0.136736i
\(545\) −0.0913873 1.21948i −0.00391460 0.0522367i
\(546\) 1.56796 + 14.5267i 0.0671026 + 0.621684i
\(547\) −1.16496 + 15.5453i −0.0498102 + 0.664671i 0.915291 + 0.402793i \(0.131961\pi\)
−0.965101 + 0.261877i \(0.915658\pi\)
\(548\) −2.82232 7.19115i −0.120563 0.307191i
\(549\) −27.4102 32.6966i −1.16984 1.39546i
\(550\) −8.96118 + 22.8327i −0.382106 + 0.973590i
\(551\) −23.1653 + 21.4943i −0.986877 + 0.915688i
\(552\) −8.40234 5.57923i −0.357627 0.237468i
\(553\) −3.49447 + 2.48884i −0.148600 + 0.105836i
\(554\) −6.70385 1.01044i −0.284819 0.0429296i
\(555\) 1.21517 1.56263i 0.0515812 0.0663301i
\(556\) −4.37538 19.1698i −0.185558 0.812981i
\(557\) −20.0615 34.7475i −0.850032 1.47230i −0.881178 0.472784i \(-0.843249\pi\)
0.0311465 0.999515i \(-0.490084\pi\)
\(558\) −18.7843 + 13.4920i −0.795203 + 0.571161i
\(559\) 6.28714 + 27.5458i 0.265918 + 1.16506i
\(560\) 0.645469 0.459717i 0.0272761 0.0194266i
\(561\) 52.1030 36.4652i 2.19979 1.53956i
\(562\) −3.15182 + 13.8090i −0.132952 + 0.582499i
\(563\) 9.47967 + 24.1538i 0.399521 + 1.01796i 0.979160 + 0.203089i \(0.0650980\pi\)
−0.579640 + 0.814873i \(0.696807\pi\)
\(564\) −2.97720 + 7.86757i −0.125363 + 0.331285i
\(565\) 0.629932 0.194308i 0.0265015 0.00817462i
\(566\) 0.361788 1.58510i 0.0152071 0.0666266i
\(567\) −0.127732 + 23.8114i −0.00536422 + 0.999986i
\(568\) 1.05524 + 4.62332i 0.0442770 + 0.193990i
\(569\) 10.8957 + 18.8719i 0.456771 + 0.791151i 0.998788 0.0492163i \(-0.0156724\pi\)
−0.542017 + 0.840368i \(0.682339\pi\)
\(570\) 3.21377 1.03456i 0.134610 0.0433328i
\(571\) 20.0911 + 6.19727i 0.840785 + 0.259348i 0.685091 0.728458i \(-0.259762\pi\)
0.155694 + 0.987805i \(0.450239\pi\)
\(572\) −14.3496 6.91042i −0.599988 0.288939i
\(573\) 13.6236 2.22426i 0.569132 0.0929198i
\(574\) 1.89777 + 2.28223i 0.0792114 + 0.0952583i
\(575\) 17.8277 + 22.3552i 0.743465 + 0.932275i
\(576\) −2.24844 1.98608i −0.0936849 0.0827535i
\(577\) −5.66693 + 14.4391i −0.235917 + 0.601107i −0.998977 0.0452205i \(-0.985601\pi\)
0.763060 + 0.646328i \(0.223696\pi\)
\(578\) 33.3610 + 16.0658i 1.38763 + 0.668249i
\(579\) 21.9158 + 26.8020i 0.910789 + 1.11385i
\(580\) 1.20167 + 0.819284i 0.0498966 + 0.0340189i
\(581\) 11.2316 5.69511i 0.465964 0.236273i
\(582\) 23.4913 + 3.24725i 0.973746 + 0.134603i
\(583\) −11.9221 8.12836i −0.493764 0.336642i
\(584\) 5.31765 1.64028i 0.220046 0.0678751i
\(585\) 2.86407 0.0701164i 0.118415 0.00289896i
\(586\) 30.1310 4.54151i 1.24470 0.187608i
\(587\) 4.92074 8.52297i 0.203101 0.351781i −0.746425 0.665469i \(-0.768231\pi\)
0.949526 + 0.313689i \(0.101565\pi\)
\(588\) 11.8759 2.44204i 0.489753 0.100708i
\(589\) 25.0856 + 43.4495i 1.03363 + 1.79030i
\(590\) −1.16429 1.45997i −0.0479331 0.0601062i
\(591\) −10.6538 + 10.1307i −0.438238 + 0.416721i
\(592\) −0.849078 + 3.72005i −0.0348969 + 0.152893i
\(593\) 0.199251 2.65882i 0.00818224 0.109184i −0.991617 0.129210i \(-0.958756\pi\)
0.999799 + 0.0200258i \(0.00637483\pi\)
\(594\) −21.9683 13.8246i −0.901370 0.567230i
\(595\) 5.59999 + 1.60252i 0.229577 + 0.0656970i
\(596\) 1.77733 23.7168i 0.0728021 0.971477i
\(597\) 21.1246 3.44892i 0.864571 0.141155i
\(598\) −15.3403 + 10.4589i −0.627313 + 0.427695i
\(599\) 9.15379 1.37971i 0.374014 0.0563735i 0.0406543 0.999173i \(-0.487056\pi\)
0.333360 + 0.942800i \(0.391818\pi\)
\(600\) 4.34226 + 7.31284i 0.177272 + 0.298546i
\(601\) 5.51836 0.831758i 0.225098 0.0339281i −0.0355245 0.999369i \(-0.511310\pi\)
0.260623 + 0.965441i \(0.416072\pi\)
\(602\) 22.2577 7.36810i 0.907155 0.300301i
\(603\) −26.8429 17.3544i −1.09313 0.706724i
\(604\) −0.821103 + 0.559819i −0.0334102 + 0.0227787i
\(605\) 0.929935 + 4.07431i 0.0378072 + 0.165644i
\(606\) 12.1821 + 11.0290i 0.494865 + 0.448023i
\(607\) −1.29777 −0.0526748 −0.0263374 0.999653i \(-0.508384\pi\)
−0.0263374 + 0.999653i \(0.508384\pi\)
\(608\) −4.77068 + 4.42654i −0.193477 + 0.179520i
\(609\) 11.7505 + 18.8965i 0.476153 + 0.765723i
\(610\) 3.12260 + 2.89735i 0.126430 + 0.117310i
\(611\) 11.3513 + 10.5325i 0.459226 + 0.426099i
\(612\) 1.10922 22.0232i 0.0448374 0.890234i
\(613\) 14.4238 + 2.17404i 0.582573 + 0.0878087i 0.433715 0.901050i \(-0.357202\pi\)
0.148857 + 0.988859i \(0.452440\pi\)
\(614\) −16.7149 + 5.15587i −0.674559 + 0.208074i
\(615\) 0.476822 0.333712i 0.0192273 0.0134566i
\(616\) −4.57546 + 12.3990i −0.184350 + 0.499569i
\(617\) −29.7599 + 27.6131i −1.19809 + 1.11166i −0.207015 + 0.978338i \(0.566375\pi\)
−0.991072 + 0.133325i \(0.957435\pi\)
\(618\) 8.01017 + 7.25196i 0.322216 + 0.291717i
\(619\) 17.5230 0.704308 0.352154 0.935942i \(-0.385449\pi\)
0.352154 + 0.935942i \(0.385449\pi\)
\(620\) 1.69264 1.57054i 0.0679779 0.0630743i
\(621\) −26.7612 + 14.1203i −1.07389 + 0.566627i
\(622\) 0.337484 0.423192i 0.0135319 0.0169684i
\(623\) −16.0976 + 8.16250i −0.644937 + 0.327023i
\(624\) −4.94586 + 2.45681i −0.197993 + 0.0983513i
\(625\) −5.26538 23.0691i −0.210615 0.922765i
\(626\) 4.51012 0.679791i 0.180261 0.0271699i
\(627\) −34.5657 + 44.4493i −1.38042 + 1.77513i
\(628\) −4.07906 0.614820i −0.162772 0.0245340i
\(629\) −25.2694 + 12.1691i −1.00756 + 0.485215i
\(630\) −0.284027 2.36031i −0.0113159 0.0940370i
\(631\) −39.1116 18.8351i −1.55701 0.749815i −0.560102 0.828424i \(-0.689238\pi\)
−0.996906 + 0.0786082i \(0.974952\pi\)
\(632\) −1.33978 0.913443i −0.0532934 0.0363348i
\(633\) −17.4554 + 12.2165i −0.693792 + 0.485562i
\(634\) −0.136157 + 1.81689i −0.00540748 + 0.0721578i
\(635\) −3.45284 4.32972i −0.137022 0.171820i
\(636\) −4.76253 + 1.53312i −0.188846 + 0.0607922i
\(637\) 4.07110 21.9443i 0.161303 0.869465i
\(638\) −24.2559 −0.960302
\(639\) 13.6932 + 3.85941i 0.541693 + 0.152676i
\(640\) 0.247472 + 0.168724i 0.00978219 + 0.00666939i
\(641\) 2.21694 9.71305i 0.0875639 0.383643i −0.912089 0.409993i \(-0.865531\pi\)
0.999653 + 0.0263500i \(0.00838843\pi\)
\(642\) 20.6289 19.6160i 0.814157 0.774183i
\(643\) −2.93810 39.2063i −0.115867 1.54614i −0.687835 0.725867i \(-0.741439\pi\)
0.571967 0.820276i \(-0.306180\pi\)
\(644\) 9.85055 + 11.8461i 0.388166 + 0.466802i
\(645\) −1.07774 4.46907i −0.0424361 0.175969i
\(646\) −47.3017 7.12958i −1.86106 0.280509i
\(647\) 0.908720 + 12.1260i 0.0357255 + 0.476723i 0.986160 + 0.165798i \(0.0530199\pi\)
−0.950434 + 0.310925i \(0.899361\pi\)
\(648\) −8.46004 + 3.07045i −0.332342 + 0.120619i
\(649\) 29.7601 + 9.17979i 1.16819 + 0.360338i
\(650\) 15.4811 2.33339i 0.607217 0.0915232i
\(651\) 33.3997 11.5119i 1.30904 0.451188i
\(652\) 20.3722 + 3.07061i 0.797835 + 0.120254i
\(653\) −1.42230 0.684941i −0.0556587 0.0268038i 0.405847 0.913941i \(-0.366976\pi\)
−0.461506 + 0.887137i \(0.652691\pi\)
\(654\) 7.07128 0.0865444i 0.276509 0.00338416i
\(655\) −1.59303 −0.0622448
\(656\) −0.560933 + 0.971565i −0.0219008 + 0.0379332i
\(657\) 3.31545 16.3621i 0.129348 0.638347i
\(658\) 7.80416 10.2082i 0.304238 0.397957i
\(659\) −2.69369 2.49938i −0.104931 0.0973621i 0.625963 0.779853i \(-0.284706\pi\)
−0.730894 + 0.682491i \(0.760897\pi\)
\(660\) 2.34839 + 1.09573i 0.0914110 + 0.0426511i
\(661\) 1.02717 + 2.61717i 0.0399521 + 0.101796i 0.949457 0.313896i \(-0.101634\pi\)
−0.909505 + 0.415693i \(0.863539\pi\)
\(662\) −12.1492 30.9557i −0.472193 1.20313i
\(663\) −36.7850 17.1633i −1.42861 0.666569i
\(664\) 3.48910 + 3.23741i 0.135403 + 0.125636i
\(665\) −5.15613 + 0.105625i −0.199946 + 0.00409598i
\(666\) 8.57941 + 7.57835i 0.332445 + 0.293655i
\(667\) −14.1379 + 24.4876i −0.547424 + 0.948165i
\(668\) 8.70647 0.336863
\(669\) 22.6874 0.277669i 0.877147 0.0107353i
\(670\) 2.87524 + 1.38464i 0.111080 + 0.0534934i
\(671\) −70.2493 10.5884i −2.71194 0.408760i
\(672\) 2.41989 + 3.89154i 0.0933495 + 0.150120i
\(673\) 2.89022 0.435631i 0.111410 0.0167923i −0.0931007 0.995657i \(-0.529678\pi\)
0.204510 + 0.978864i \(0.434440\pi\)
\(674\) 24.0207 + 7.40941i 0.925243 + 0.285400i
\(675\) 25.4974 0.936553i 0.981396 0.0360479i
\(676\) −0.211797 2.82624i −0.00814605 0.108702i
\(677\) −34.2291 5.15920i −1.31553 0.198284i −0.546480 0.837472i \(-0.684032\pi\)
−0.769050 + 0.639188i \(0.779271\pi\)
\(678\) 0.893703 + 3.70591i 0.0343225 + 0.142325i
\(679\) −32.9525 15.0456i −1.26460 0.577397i
\(680\) 0.164522 + 2.19540i 0.00630915 + 0.0841897i
\(681\) −20.9343 + 19.9065i −0.802206 + 0.762819i
\(682\) −8.56917 + 37.5440i −0.328131 + 1.43763i
\(683\) 19.7616 + 13.4733i 0.756158 + 0.515540i 0.878962 0.476891i \(-0.158236\pi\)
−0.122805 + 0.992431i \(0.539189\pi\)
\(684\) 4.80902 + 18.9224i 0.183878 + 0.723515i
\(685\) 2.31381 0.0884062
\(686\) −18.4483 1.63048i −0.704361 0.0622522i
\(687\) −7.70408 + 2.48004i −0.293929 + 0.0946196i
\(688\) 5.52510 + 6.92826i 0.210643 + 0.264137i
\(689\) −0.688264 + 9.18425i −0.0262208 + 0.349892i
\(690\) 2.47499 1.73216i 0.0942212 0.0659423i
\(691\) 28.5308 + 19.4520i 1.08536 + 0.739988i 0.967457 0.253036i \(-0.0814292\pi\)
0.117907 + 0.993025i \(0.462382\pi\)
\(692\) −2.81297 1.35465i −0.106933 0.0514962i
\(693\) 26.0888 + 29.8563i 0.991033 + 1.13415i
\(694\) −9.32137 + 4.48894i −0.353834 + 0.170398i
\(695\) 5.82355 + 0.877759i 0.220900 + 0.0332953i
\(696\) −5.16296 + 6.63923i −0.195702 + 0.251660i
\(697\) −8.15403 + 1.22902i −0.308856 + 0.0465525i
\(698\) 0.663826 + 2.90841i 0.0251262 + 0.110085i
\(699\) −3.65639 + 1.81628i −0.138297 + 0.0686981i
\(700\) −3.14966 12.6038i −0.119046 0.476380i
\(701\) −1.11731 + 1.40106i −0.0422001 + 0.0529173i −0.802484 0.596674i \(-0.796489\pi\)
0.760284 + 0.649591i \(0.225060\pi\)
\(702\) −0.630816 + 16.5553i −0.0238086 + 0.624841i
\(703\) 18.2036 16.8905i 0.686561 0.637036i
\(704\) −4.99528 −0.188267
\(705\) −1.86779 1.69099i −0.0703451 0.0636865i
\(706\) 10.0099 9.28784i 0.376728 0.349552i
\(707\) −12.9935 21.4772i −0.488671 0.807733i
\(708\) 8.84721 6.19187i 0.332498 0.232705i
\(709\) −1.51704 + 0.467946i −0.0569737 + 0.0175741i −0.323111 0.946361i \(-0.604729\pi\)
0.266137 + 0.963935i \(0.414253\pi\)
\(710\) −1.40451 0.211695i −0.0527102 0.00794478i
\(711\) −4.32989 + 2.21731i −0.162383 + 0.0831555i
\(712\) −5.00074 4.64001i −0.187411 0.173892i
\(713\) 32.9080 + 30.5341i 1.23241 + 1.14351i
\(714\) −11.2736 + 31.7410i −0.421905 + 1.18788i
\(715\) 3.49693 3.24467i 0.130778 0.121344i
\(716\) 9.44501 0.352977
\(717\) −26.0916 23.6219i −0.974410 0.882176i
\(718\) 6.33707 + 27.7645i 0.236497 + 1.03616i
\(719\) 27.1280 18.4955i 1.01170 0.689767i 0.0604476 0.998171i \(-0.480747\pi\)
0.951256 + 0.308404i \(0.0997948\pi\)
\(720\) 0.799781 0.409562i 0.0298061 0.0152635i
\(721\) −8.54368 14.1220i −0.318183 0.525931i
\(722\) 23.0928 3.48068i 0.859425 0.129537i
\(723\) 2.25998 + 3.80606i 0.0840497 + 0.141549i
\(724\) −5.00823 + 0.754869i −0.186129 + 0.0280545i
\(725\) 19.7002 13.4314i 0.731648 0.498829i
\(726\) −23.8511 + 3.89408i −0.885199 + 0.144523i
\(727\) −1.68080 + 22.4287i −0.0623375 + 0.831836i 0.875158 + 0.483838i \(0.160758\pi\)
−0.937495 + 0.347998i \(0.886861\pi\)
\(728\) 8.31397 1.42785i 0.308136 0.0529198i
\(729\) −4.06072 + 26.6929i −0.150397 + 0.988626i
\(730\) −0.124558 + 1.66211i −0.00461010 + 0.0615175i
\(731\) −14.4941 + 63.5027i −0.536083 + 2.34873i
\(732\) −17.8510 + 16.9746i −0.659793 + 0.627398i
\(733\) −10.2556 12.8601i −0.378799 0.474999i 0.555486 0.831526i \(-0.312532\pi\)
−0.934285 + 0.356527i \(0.883961\pi\)
\(734\) −9.74140 16.8726i −0.359562 0.622779i
\(735\) −0.618657 + 3.57836i −0.0228195 + 0.131990i
\(736\) −2.91157 + 5.04299i −0.107322 + 0.185887i
\(737\) −52.6290 + 7.93255i −1.93862 + 0.292199i
\(738\) 1.75363 + 2.87264i 0.0645520 + 0.105743i
\(739\) −30.6902 + 9.46667i −1.12896 + 0.348237i −0.802309 0.596909i \(-0.796395\pi\)
−0.326648 + 0.945146i \(0.605919\pi\)
\(740\) −0.944285 0.643802i −0.0347126 0.0236666i
\(741\) 35.6014 + 4.92125i 1.30785 + 0.180787i
\(742\) 7.64093 0.156528i 0.280507 0.00574631i
\(743\) −8.15465 5.55975i −0.299165 0.203967i 0.404429 0.914569i \(-0.367470\pi\)
−0.703594 + 0.710602i \(0.748423\pi\)
\(744\) 8.45241 + 10.3369i 0.309880 + 0.378969i
\(745\) 6.41804 + 3.09076i 0.235139 + 0.113237i
\(746\) −0.697451 + 1.77708i −0.0255355 + 0.0650634i
\(747\) 13.5376 4.54151i 0.495315 0.166165i
\(748\) −22.8927 28.7066i −0.837042 1.04962i
\(749\) −38.7824 + 19.6651i −1.41708 + 0.718547i
\(750\) −5.07406 + 0.828420i −0.185278 + 0.0302496i
\(751\) 6.31458 + 3.04094i 0.230422 + 0.110966i 0.545533 0.838089i \(-0.316327\pi\)
−0.315110 + 0.949055i \(0.602042\pi\)
\(752\) 4.64092 + 1.43154i 0.169237 + 0.0522027i
\(753\) 9.50063 3.05838i 0.346222 0.111453i
\(754\) 7.74105 + 13.4079i 0.281913 + 0.488287i
\(755\) −0.0662344 0.290192i −0.00241052 0.0105612i
\(756\) 13.7252 0.785904i 0.499182 0.0285831i
\(757\) −2.41882 + 10.5976i −0.0879136 + 0.385175i −0.999674 0.0255487i \(-0.991867\pi\)
0.911760 + 0.410724i \(0.134724\pi\)
\(758\) −20.8696 + 6.43743i −0.758019 + 0.233818i
\(759\) −17.8314 + 47.1213i −0.647239 + 1.71040i
\(760\) −0.712138 1.81450i −0.0258320 0.0658188i
\(761\) −5.22583 + 22.8959i −0.189436 + 0.829974i 0.787478 + 0.616343i \(0.211386\pi\)
−0.976914 + 0.213632i \(0.931471\pi\)
\(762\) 26.2374 18.3627i 0.950480 0.665210i
\(763\) −10.3855 2.97197i −0.375980 0.107593i
\(764\) −1.77343 7.76989i −0.0641603 0.281105i
\(765\) 6.01895 + 2.71916i 0.217616 + 0.0983116i
\(766\) 5.26679 + 9.12235i 0.190297 + 0.329604i
\(767\) −4.42338 19.3801i −0.159719 0.699774i
\(768\) −1.06326 + 1.36729i −0.0383672 + 0.0493377i
\(769\) −40.4883 6.10262i −1.46004 0.220066i −0.629492 0.777007i \(-0.716737\pi\)
−0.830552 + 0.556941i \(0.811975\pi\)
\(770\) −2.95631 2.63246i −0.106538 0.0948672i
\(771\) 41.3337 + 27.4459i 1.48860 + 0.988442i
\(772\) 14.6528 13.5958i 0.527365 0.489323i
\(773\) −16.8577 + 42.9526i −0.606328 + 1.54490i 0.216304 + 0.976326i \(0.430600\pi\)
−0.822633 + 0.568573i \(0.807496\pi\)
\(774\) 26.1829 4.60443i 0.941127 0.165503i
\(775\) −13.8297 35.2376i −0.496779 1.26577i
\(776\) 1.02318 13.6534i 0.0367300 0.490128i
\(777\) −9.23365 14.8490i −0.331255 0.532707i
\(778\) 0.155629 + 2.07673i 0.00557958 + 0.0744543i
\(779\) 6.57804 3.16782i 0.235683 0.113499i
\(780\) −0.143785 1.64780i −0.00514833 0.0590009i
\(781\) 21.3428 10.2781i 0.763704 0.367780i
\(782\) −42.3242 + 6.37935i −1.51351 + 0.228125i
\(783\) 10.0740 + 23.1330i 0.360014 + 0.826706i
\(784\) −1.83583 6.75498i −0.0655653 0.241249i
\(785\) 0.617773 1.07001i 0.0220493 0.0381904i
\(786\) 0.575954 9.19418i 0.0205436 0.327946i
\(787\) 0.621250 8.29000i 0.0221452 0.295507i −0.975124 0.221659i \(-0.928853\pi\)
0.997269 0.0738481i \(-0.0235280\pi\)
\(788\) 6.22208 + 5.77324i 0.221652 + 0.205663i
\(789\) −16.9107 + 16.0804i −0.602035 + 0.572476i
\(790\) 0.401285 0.273591i 0.0142771 0.00973394i
\(791\) 0.316143 5.81457i 0.0112407 0.206742i
\(792\) −7.17304 + 13.1576i −0.254883 + 0.467535i
\(793\) 16.5665 + 42.2107i 0.588293 + 1.49895i
\(794\) 6.32558 + 3.04624i 0.224487 + 0.108107i
\(795\) 0.0936901 1.49561i 0.00332284 0.0530439i
\(796\) −2.74986 12.0479i −0.0974662 0.427027i
\(797\) 1.88480 4.80240i 0.0667631 0.170110i −0.893598 0.448868i \(-0.851827\pi\)
0.960361 + 0.278758i \(0.0899227\pi\)
\(798\) 1.25456 29.7969i 0.0444111 1.05480i
\(799\) 13.0421 + 33.2308i 0.461397 + 1.17562i
\(800\) 4.05707 2.76606i 0.143439 0.0977952i
\(801\) −19.4027 + 6.50910i −0.685561 + 0.229988i
\(802\) −1.88179 3.25936i −0.0664484 0.115092i
\(803\) −13.8991 24.0739i −0.490487 0.849548i
\(804\) −9.03102 + 16.0939i −0.318499 + 0.567587i
\(805\) −4.38074 + 1.45018i −0.154401 + 0.0511122i
\(806\) 23.4879 7.24505i 0.827325 0.255196i
\(807\) 15.6529 10.9549i 0.551008 0.385632i
\(808\) 5.91542 7.41770i 0.208104 0.260954i
\(809\) 35.6651 + 5.37564i 1.25392 + 0.188998i 0.742213 0.670164i \(-0.233776\pi\)
0.511704 + 0.859162i \(0.329014\pi\)
\(810\) 0.0696661 2.69475i 0.00244782 0.0946838i
\(811\) 10.2451 44.8868i 0.359755 1.57619i −0.394049 0.919090i \(-0.628926\pi\)
0.753804 0.657100i \(-0.228217\pi\)
\(812\) 10.4644 7.45296i 0.367228 0.261547i
\(813\) −43.0100 + 0.526393i −1.50842 + 0.0184614i
\(814\) 19.0606 0.668073
\(815\) −3.08536 + 5.34400i −0.108075 + 0.187192i
\(816\) −12.7303 + 0.155804i −0.445648 + 0.00545423i
\(817\) −4.30975 57.5096i −0.150779 2.01201i
\(818\) −20.7999 + 26.0822i −0.727250 + 0.911943i
\(819\) 8.17759 23.9494i 0.285748 0.836860i
\(820\) −0.209503 0.262709i −0.00731618 0.00917420i
\(821\) 15.3975 14.2868i 0.537377 0.498613i −0.364147 0.931341i \(-0.618640\pi\)
0.901524 + 0.432728i \(0.142449\pi\)
\(822\) −0.836551 + 13.3542i −0.0291781 + 0.465781i
\(823\) 19.4664 13.2720i 0.678557 0.462632i −0.174358 0.984682i \(-0.555785\pi\)
0.852915 + 0.522050i \(0.174833\pi\)
\(824\) 3.88959 4.87739i 0.135500 0.169912i
\(825\) 30.7871 29.2756i 1.07187 1.01924i
\(826\) −15.6596 + 5.18389i −0.544867 + 0.180371i
\(827\) 15.6197 + 7.52204i 0.543149 + 0.261567i 0.685278 0.728281i \(-0.259681\pi\)
−0.142129 + 0.989848i \(0.545395\pi\)
\(828\) 9.10237 + 14.9107i 0.316329 + 0.518182i
\(829\) −26.7394 + 8.24801i −0.928697 + 0.286465i −0.721963 0.691932i \(-0.756760\pi\)
−0.206734 + 0.978397i \(0.566284\pi\)
\(830\) −1.28443 + 0.618547i −0.0445831 + 0.0214701i
\(831\) 9.78239 + 6.49559i 0.339347 + 0.225330i
\(832\) 1.59420 + 2.76123i 0.0552688 + 0.0957283i
\(833\) 30.4058 41.5073i 1.05350 1.43814i
\(834\) −7.17148 + 33.2933i −0.248328 + 1.15285i
\(835\) −0.952711 + 2.42747i −0.0329699 + 0.0840060i
\(836\) 26.8603 + 18.3130i 0.928982 + 0.633369i
\(837\) 39.3648 7.42030i 1.36065 0.256483i
\(838\) −2.20337 + 29.4019i −0.0761140 + 1.01567i
\(839\) 7.00806 4.77801i 0.241945 0.164955i −0.436277 0.899812i \(-0.643703\pi\)
0.678222 + 0.734857i \(0.262751\pi\)
\(840\) −1.34981 + 0.248861i −0.0465728 + 0.00858652i
\(841\) −4.47941 3.05401i −0.154463 0.105311i
\(842\) 5.51650 6.91748i 0.190111 0.238392i
\(843\) 15.0602 19.3665i 0.518702 0.667016i
\(844\) 7.66948 + 9.61722i 0.263994 + 0.331038i
\(845\) 0.811166 + 0.250211i 0.0279049 + 0.00860754i
\(846\) 10.4349 10.1686i 0.358759 0.349604i
\(847\) 36.6083 + 4.75320i 1.25788 + 0.163322i
\(848\) 1.05533 + 2.68893i 0.0362400 + 0.0923381i
\(849\) −1.72872 + 2.22302i −0.0593294 + 0.0762938i
\(850\) 34.4889 + 10.6384i 1.18296 + 0.364895i
\(851\) 11.1098 19.2427i 0.380838 0.659630i
\(852\) 1.72960 8.02959i 0.0592550 0.275089i
\(853\) 18.1852 + 5.60938i 0.622649 + 0.192062i 0.589997 0.807405i \(-0.299129\pi\)
0.0326512 + 0.999467i \(0.489605\pi\)
\(854\) 33.5600 17.0170i 1.14840 0.582311i
\(855\) −5.80201 0.729778i −0.198425 0.0249579i
\(856\) −12.0478 11.1787i −0.411785 0.382081i
\(857\) 11.8919 14.9120i 0.406220 0.509384i −0.536074 0.844171i \(-0.680093\pi\)
0.942294 + 0.334788i \(0.108665\pi\)
\(858\) 17.4624 + 21.3556i 0.596155 + 0.729070i
\(859\) 1.52939 6.70072i 0.0521823 0.228625i −0.942112 0.335299i \(-0.891163\pi\)
0.994294 + 0.106673i \(0.0340199\pi\)
\(860\) −2.53627 + 0.782335i −0.0864860 + 0.0266774i
\(861\) −1.30735 4.97203i −0.0445543 0.169446i
\(862\) 19.4246 + 5.99169i 0.661604 + 0.204078i
\(863\) 13.3671 23.1525i 0.455022 0.788121i −0.543668 0.839301i \(-0.682965\pi\)
0.998689 + 0.0511795i \(0.0162981\pi\)
\(864\) 2.07464 + 4.76402i 0.0705806 + 0.162075i
\(865\) 0.685504 0.636055i 0.0233078 0.0216265i
\(866\) 0.0388588 + 0.518534i 0.00132048 + 0.0176205i
\(867\) −40.5976 49.6490i −1.37877 1.68617i
\(868\) −7.83902 18.8300i −0.266074 0.639134i
\(869\) −2.95927 + 7.54009i −0.100386 + 0.255780i
\(870\) −1.28614 2.16600i −0.0436041 0.0734342i
\(871\) 21.1809 + 26.5600i 0.717688 + 0.899952i
\(872\) −0.305116 4.07149i −0.0103325 0.137878i
\(873\) −34.4939 22.3009i −1.16744 0.754770i
\(874\) 34.1439 16.4428i 1.15493 0.556187i
\(875\) 7.78800 + 1.01119i 0.263282 + 0.0341844i
\(876\) −9.54786 1.31982i −0.322592 0.0445925i
\(877\) −15.3837 + 7.40841i −0.519471 + 0.250164i −0.675199 0.737636i \(-0.735942\pi\)
0.155727 + 0.987800i \(0.450228\pi\)
\(878\) −6.57174 6.09768i −0.221785 0.205787i
\(879\) −50.6197 14.9382i −1.70736 0.503852i
\(880\) 0.546611 1.39274i 0.0184263 0.0469494i
\(881\) −37.8181 −1.27412 −0.637062 0.770813i \(-0.719851\pi\)
−0.637062 + 0.770813i \(0.719851\pi\)
\(882\) −20.4289 4.86433i −0.687875 0.163790i
\(883\) −19.8067 −0.666547 −0.333274 0.942830i \(-0.608153\pi\)
−0.333274 + 0.942830i \(0.608153\pi\)
\(884\) −8.56207 + 21.8158i −0.287974 + 0.733745i
\(885\) 0.758256 + 3.14426i 0.0254885 + 0.105693i
\(886\) 20.3148 + 18.8494i 0.682489 + 0.633257i
\(887\) 40.9211 19.7066i 1.37400 0.661681i 0.406285 0.913746i \(-0.366824\pi\)
0.967710 + 0.252065i \(0.0811096\pi\)
\(888\) 4.05712 5.21719i 0.136148 0.175077i
\(889\) −46.4403 + 15.3734i −1.55756 + 0.515608i
\(890\) 1.84090 0.886530i 0.0617071 0.0297166i
\(891\) 24.3570 + 37.7877i 0.815991 + 1.26594i
\(892\) −0.978933 13.0629i −0.0327771 0.437380i
\(893\) −19.7068 24.7115i −0.659462 0.826939i
\(894\) −20.1588 + 35.9243i −0.674211 + 1.20149i
\(895\) −1.03353 + 2.63338i −0.0345470 + 0.0880243i
\(896\) 2.15504 1.53486i 0.0719948 0.0512762i
\(897\) 31.7379 5.18171i 1.05970 0.173012i
\(898\) −2.21274 29.5270i −0.0738401 0.985328i
\(899\) 27.4411 25.4616i 0.915213 0.849193i
\(900\) −1.46003 14.6583i −0.0486675 0.488611i
\(901\) −10.6162 + 18.3877i −0.353675 + 0.612584i
\(902\) 5.35506 + 1.65182i 0.178304 + 0.0549995i
\(903\) −40.3318 4.73551i −1.34216 0.157588i
\(904\) 2.10316 0.648740i 0.0699502 0.0215768i
\(905\) 0.337562 1.47896i 0.0112209 0.0491622i
\(906\) 1.69879 0.277355i 0.0564386 0.00921449i
\(907\) −34.7290 + 43.5487i −1.15316 + 1.44601i −0.279051 + 0.960276i \(0.590020\pi\)
−0.874105 + 0.485736i \(0.838552\pi\)
\(908\) 12.2262 + 11.3443i 0.405741 + 0.376472i
\(909\) −11.0440 26.2328i −0.366305 0.870088i
\(910\) −0.511659 + 2.47428i −0.0169613 + 0.0820215i
\(911\) −16.9043 5.21430i −0.560066 0.172757i 0.00178160 0.999998i \(-0.499433\pi\)
−0.561847 + 0.827241i \(0.689909\pi\)
\(912\) 10.7299 3.45409i 0.355302 0.114376i
\(913\) 11.8880 20.5906i 0.393435 0.681449i
\(914\) 25.8847 + 7.98437i 0.856189 + 0.264099i
\(915\) −2.77935 6.83453i −0.0918826 0.225943i
\(916\) 1.70714 + 4.34973i 0.0564056 + 0.143719i
\(917\) −4.87167 + 13.2017i −0.160877 + 0.435958i
\(918\) −17.8698 + 33.7553i −0.589792 + 1.11409i
\(919\) 1.07369 + 0.331191i 0.0354179 + 0.0109250i 0.312414 0.949946i \(-0.398863\pi\)
−0.276996 + 0.960871i \(0.589339\pi\)
\(920\) −1.08745 1.36361i −0.0358520 0.0449570i
\(921\) 30.0117 + 4.14858i 0.988920 + 0.136700i
\(922\) −21.9059 + 27.4691i −0.721431 + 0.904646i
\(923\) −12.4928 8.51742i −0.411204 0.280354i
\(924\) 16.2621 16.1106i 0.534984 0.530001i
\(925\) −15.4807 + 10.5545i −0.509001 + 0.347031i
\(926\) −3.08145 + 41.1191i −0.101263 + 1.35126i
\(927\) −7.26178 17.2490i −0.238508 0.566531i
\(928\) 4.01203 + 2.73536i 0.131701 + 0.0897924i
\(929\) −16.8386 + 42.9040i −0.552456 + 1.40763i 0.333007 + 0.942924i \(0.391937\pi\)
−0.885463 + 0.464710i \(0.846159\pi\)
\(930\) −3.80696 + 1.22551i −0.124835 + 0.0401861i
\(931\) −14.8927 + 43.0527i −0.488089 + 1.41100i
\(932\) 1.17856 + 2.04133i 0.0386051 + 0.0668659i
\(933\) −0.839643 + 0.417085i −0.0274887 + 0.0136548i
\(934\) 8.33669 4.01474i 0.272785 0.131366i
\(935\) 10.5088 3.24153i 0.343674 0.106009i
\(936\) 9.56231 0.234099i 0.312554 0.00765176i
\(937\) −5.07488 2.44393i −0.165789 0.0798398i 0.349149 0.937067i \(-0.386471\pi\)
−0.514938 + 0.857227i \(0.672185\pi\)
\(938\) 20.2676 19.5932i 0.661760 0.639740i
\(939\) −7.57695 2.23600i −0.247264 0.0729692i
\(940\) −0.906965 + 1.13730i −0.0295819 + 0.0370946i
\(941\) 28.0984 19.1572i 0.915983 0.624506i −0.0108662 0.999941i \(-0.503459\pi\)
0.926849 + 0.375435i \(0.122507\pi\)
\(942\) 5.95224 + 3.95234i 0.193935 + 0.128774i
\(943\) 4.78888 4.44343i 0.155947 0.144698i
\(944\) −3.88724 4.87444i −0.126519 0.158650i
\(945\) −1.28277 + 3.91276i −0.0417286 + 0.127282i
\(946\) 27.5994 34.6086i 0.897334 1.12522i
\(947\) 2.74082 + 36.5738i 0.0890648 + 1.18849i 0.845338 + 0.534232i \(0.179399\pi\)
−0.756273 + 0.654256i \(0.772982\pi\)
\(948\) 1.43395 + 2.41493i 0.0465726 + 0.0784334i
\(949\) −8.87150 + 15.3659i −0.287981 + 0.498798i
\(950\) −31.9560 −1.03679
\(951\) 1.54432 2.75208i 0.0500779 0.0892422i
\(952\) 18.6968 + 5.35037i 0.605965 + 0.173406i
\(953\) −0.303584 + 1.33009i −0.00983404 + 0.0430858i −0.979607 0.200924i \(-0.935606\pi\)
0.969773 + 0.244009i \(0.0784628\pi\)
\(954\) 8.59807 + 1.08147i 0.278373 + 0.0350138i
\(955\) 2.36040 + 0.355772i 0.0763806 + 0.0115125i
\(956\) −12.6696 + 15.8872i −0.409765 + 0.513829i
\(957\) 38.0722 + 17.7640i 1.23070 + 0.574227i
\(958\) 29.4880 9.09585i 0.952715 0.293874i
\(959\) 7.07591 19.1749i 0.228493 0.619191i
\(960\) −0.264868 0.446067i −0.00854856 0.0143967i
\(961\) −14.2158 24.6225i −0.458574 0.794273i
\(962\) −6.08301 10.5361i −0.196124 0.339697i
\(963\) −46.7451 + 15.6817i −1.50634 + 0.505337i
\(964\) 2.11156 1.43963i 0.0680086 0.0463675i
\(965\) 2.18728 + 5.57309i 0.0704110 + 0.179404i
\(966\) −6.78591 25.8078i −0.218333 0.830352i
\(967\) −11.9212 + 30.3747i −0.383359 + 0.976784i 0.600784 + 0.799411i \(0.294855\pi\)
−0.984144 + 0.177373i \(0.943240\pi\)
\(968\) 3.10479 + 13.6030i 0.0997917 + 0.437216i
\(969\) 69.0235 + 45.8322i 2.21735 + 1.47234i
\(970\) 3.69477 + 1.77931i 0.118632 + 0.0571301i
\(971\) 22.1824 + 56.5198i 0.711867 + 1.81381i 0.565817 + 0.824531i \(0.308561\pi\)
0.146050 + 0.989277i \(0.453344\pi\)
\(972\) 15.5276 + 1.37636i 0.498047 + 0.0441466i
\(973\) 25.0832 45.5764i 0.804132 1.46111i
\(974\) 17.0763 11.6424i 0.547159 0.373046i
\(975\) −26.0080 7.67512i −0.832923 0.245801i
\(976\) 10.4255 + 9.67341i 0.333711 + 0.309638i
\(977\) −0.151028 + 2.01533i −0.00483181 + 0.0644761i −0.999098 0.0424530i \(-0.986483\pi\)
0.994267 + 0.106929i \(0.0341018\pi\)
\(978\) −29.7274 19.7393i −0.950579 0.631193i
\(979\) −17.0384 + 29.5114i −0.544550 + 0.943188i
\(980\) 2.08426 + 0.227317i 0.0665791 + 0.00726138i
\(981\) −11.1625 5.04284i −0.356391 0.161006i
\(982\) 15.1572 2.28458i 0.483685 0.0729038i
\(983\) 10.1617 4.89359i 0.324106 0.156081i −0.264754 0.964316i \(-0.585291\pi\)
0.588861 + 0.808234i \(0.299577\pi\)
\(984\) 1.59197 1.11417i 0.0507503 0.0355184i
\(985\) −2.29050 + 1.10305i −0.0729815 + 0.0351460i
\(986\) 2.66725 + 35.5919i 0.0849424 + 1.13348i
\(987\) −19.7255 + 10.3074i −0.627868 + 0.328089i
\(988\) 1.55065 20.6919i 0.0493326 0.658298i
\(989\) −18.8524 48.0352i −0.599472 1.52743i
\(990\) −2.88358 3.43971i −0.0916463 0.109321i
\(991\) −18.6751 + 47.5834i −0.593234 + 1.51154i 0.246836 + 0.969057i \(0.420609\pi\)
−0.840070 + 0.542478i \(0.817486\pi\)
\(992\) 5.65123 5.24358i 0.179427 0.166484i
\(993\) −3.60110 + 57.4858i −0.114277 + 1.82426i
\(994\) −6.04950 + 10.9920i −0.191879 + 0.348645i
\(995\) 3.66001 + 0.551658i 0.116030 + 0.0174887i
\(996\) −3.10557 7.63671i −0.0984038 0.241979i
\(997\) −11.0091 48.2342i −0.348663 1.52759i −0.780219 0.625507i \(-0.784892\pi\)
0.431556 0.902086i \(-0.357965\pi\)
\(998\) −11.5624 20.0267i −0.366002 0.633934i
\(999\) −7.91624 18.1782i −0.250459 0.575132i
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 882.2.y.a.583.22 336
9.4 even 3 882.2.bb.b.877.12 yes 336
49.39 even 21 882.2.bb.b.529.12 yes 336
441.382 even 21 inner 882.2.y.a.823.22 yes 336
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
882.2.y.a.583.22 336 1.1 even 1 trivial
882.2.y.a.823.22 yes 336 441.382 even 21 inner
882.2.bb.b.529.12 yes 336 49.39 even 21
882.2.bb.b.877.12 yes 336 9.4 even 3