Properties

Label 63.2.o.a.20.1
Level $63$
Weight $2$
Character 63.20
Analytic conductor $0.503$
Analytic rank $0$
Dimension $12$
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] = [63,2,Mod(20,63)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(63, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([1, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("63.20");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 63.o (of order \(6\), degree \(2\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(0.503057532734\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{12} - 7x^{10} + 37x^{8} - 78x^{6} + 123x^{4} - 36x^{2} + 9 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 20.1
Root \(-1.29589 - 0.748185i\) of defining polynomial
Character \(\chi\) \(=\) 63.20
Dual form 63.2.o.a.41.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.97141 - 1.13819i) q^{2} +(-0.578751 + 1.63250i) q^{3} +(1.59097 + 2.75564i) q^{4} +(0.717144 + 1.24213i) q^{5} +(2.99905 - 2.55959i) q^{6} +(2.16235 + 1.52455i) q^{7} -2.69056i q^{8} +(-2.33009 - 1.88962i) q^{9} +O(q^{10})\) \(q+(-1.97141 - 1.13819i) q^{2} +(-0.578751 + 1.63250i) q^{3} +(1.59097 + 2.75564i) q^{4} +(0.717144 + 1.24213i) q^{5} +(2.99905 - 2.55959i) q^{6} +(2.16235 + 1.52455i) q^{7} -2.69056i q^{8} +(-2.33009 - 1.88962i) q^{9} -3.26499i q^{10} +(2.80150 + 1.61745i) q^{11} +(-5.41936 + 1.00243i) q^{12} +(-4.43334 + 2.55959i) q^{13} +(-2.52764 - 5.46668i) q^{14} +(-2.44282 + 0.451852i) q^{15} +(0.119562 - 0.207087i) q^{16} -1.09132 q^{17} +(2.44282 + 6.37731i) q^{18} -4.48911i q^{19} +(-2.28191 + 3.95238i) q^{20} +(-3.74028 + 2.64769i) q^{21} +(-3.68194 - 6.37731i) q^{22} +(3.47141 - 2.00422i) q^{23} +(4.39234 + 1.55716i) q^{24} +(1.47141 - 2.54856i) q^{25} +11.6532 q^{26} +(4.43334 - 2.71026i) q^{27} +(-0.760877 + 8.38418i) q^{28} +(1.02859 + 0.593857i) q^{29} +(5.33009 + 1.88962i) q^{30} +(3.24275 - 1.87220i) q^{31} +(-5.13160 + 2.96273i) q^{32} +(-4.26186 + 3.63735i) q^{33} +(2.15143 + 1.24213i) q^{34} +(-0.342971 + 3.77924i) q^{35} +(1.50000 - 9.42724i) q^{36} -0.239123 q^{37} +(-5.10948 + 8.84988i) q^{38} +(-1.61273 - 8.71878i) q^{39} +(3.34203 - 1.92952i) q^{40} +(-3.71620 - 6.43664i) q^{41} +(10.3872 - 0.962525i) q^{42} +(-3.82326 + 6.62208i) q^{43} +10.2933i q^{44} +(0.676137 - 4.24941i) q^{45} -9.12476 q^{46} +(2.11042 - 3.65536i) q^{47} +(0.268872 + 0.315036i) q^{48} +(2.35150 + 6.59321i) q^{49} +(-5.80150 + 3.34950i) q^{50} +(0.631600 - 1.78157i) q^{51} +(-14.1066 - 8.14447i) q^{52} -7.01414i q^{53} +(-11.8247 + 0.297022i) q^{54} +4.63977i q^{55} +(4.10189 - 5.81793i) q^{56} +(7.32846 + 2.59808i) q^{57} +(-1.35185 - 2.34147i) q^{58} +(4.73531 + 8.20179i) q^{59} +(-5.13160 - 6.01266i) q^{60} +(2.82757 + 1.63250i) q^{61} -8.52371 q^{62} +(-2.15766 - 7.63836i) q^{63} +13.0104 q^{64} +(-6.35868 - 3.67119i) q^{65} +(12.5419 - 2.31989i) q^{66} +(-0.330095 - 0.571741i) q^{67} +(-1.73625 - 3.00728i) q^{68} +(1.26280 + 6.82701i) q^{69} +(4.97764 - 7.06006i) q^{70} -3.82347i q^{71} +(-5.08414 + 6.26926i) q^{72} -7.31073i q^{73} +(0.471410 + 0.272169i) q^{74} +(3.30893 + 3.87705i) q^{75} +(12.3704 - 7.14205i) q^{76} +(3.59195 + 7.76852i) q^{77} +(-6.74433 + 19.0239i) q^{78} +(-1.83009 + 3.16982i) q^{79} +0.342971 q^{80} +(1.85868 + 8.80598i) q^{81} +16.9190i q^{82} +(5.45245 - 9.44392i) q^{83} +(-13.2468 - 6.09448i) q^{84} +(-0.782630 - 1.35556i) q^{85} +(15.0744 - 8.70322i) q^{86} +(-1.56477 + 1.33548i) q^{87} +(4.35185 - 7.53762i) q^{88} -13.6915 q^{89} +(-6.16959 + 7.60775i) q^{90} +(-13.4887 - 1.22412i) q^{91} +(11.0458 + 6.37731i) q^{92} +(1.17962 + 6.37731i) q^{93} +(-8.32102 + 4.80415i) q^{94} +(5.57605 - 3.21934i) q^{95} +(-1.86673 - 10.0920i) q^{96} +(-2.69709 - 1.55716i) q^{97} +(2.86857 - 15.6744i) q^{98} +(-3.47141 - 9.06259i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 6 q^{2} + 2 q^{4} - 2 q^{7} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 6 q^{2} + 2 q^{4} - 2 q^{7} - 12 q^{9} - 12 q^{14} + 6 q^{15} + 2 q^{16} - 6 q^{18} - 24 q^{21} - 10 q^{22} + 24 q^{23} - 8 q^{28} + 30 q^{29} + 48 q^{30} - 12 q^{32} + 18 q^{36} - 4 q^{37} + 36 q^{42} - 10 q^{43} - 40 q^{46} + 6 q^{49} - 36 q^{50} - 42 q^{51} + 42 q^{56} - 18 q^{57} + 2 q^{58} - 12 q^{60} + 24 q^{63} + 16 q^{64} - 78 q^{65} + 12 q^{67} + 18 q^{70} - 24 q^{72} - 12 q^{74} - 24 q^{77} - 12 q^{78} - 6 q^{79} + 24 q^{81} - 60 q^{84} - 6 q^{85} + 96 q^{86} + 34 q^{88} - 24 q^{91} + 30 q^{92} + 78 q^{93} + 72 q^{95} - 24 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.97141 1.13819i −1.39400 0.804825i −0.400242 0.916409i \(-0.631074\pi\)
−0.993755 + 0.111585i \(0.964407\pi\)
\(3\) −0.578751 + 1.63250i −0.334142 + 0.942523i
\(4\) 1.59097 + 2.75564i 0.795486 + 1.37782i
\(5\) 0.717144 + 1.24213i 0.320716 + 0.555497i 0.980636 0.195839i \(-0.0627430\pi\)
−0.659920 + 0.751336i \(0.729410\pi\)
\(6\) 2.99905 2.55959i 1.22436 1.04495i
\(7\) 2.16235 + 1.52455i 0.817291 + 0.576225i
\(8\) 2.69056i 0.951257i
\(9\) −2.33009 1.88962i −0.776698 0.629873i
\(10\) 3.26499i 1.03248i
\(11\) 2.80150 + 1.61745i 0.844686 + 0.487679i 0.858854 0.512220i \(-0.171177\pi\)
−0.0141686 + 0.999900i \(0.504510\pi\)
\(12\) −5.41936 + 1.00243i −1.56443 + 0.289375i
\(13\) −4.43334 + 2.55959i −1.22959 + 0.709903i −0.966944 0.254990i \(-0.917928\pi\)
−0.262644 + 0.964893i \(0.584594\pi\)
\(14\) −2.52764 5.46668i −0.675541 1.46103i
\(15\) −2.44282 + 0.451852i −0.630733 + 0.116668i
\(16\) 0.119562 0.207087i 0.0298904 0.0517717i
\(17\) −1.09132 −0.264683 −0.132341 0.991204i \(-0.542250\pi\)
−0.132341 + 0.991204i \(0.542250\pi\)
\(18\) 2.44282 + 6.37731i 0.575778 + 1.50315i
\(19\) 4.48911i 1.02987i −0.857228 0.514936i \(-0.827816\pi\)
0.857228 0.514936i \(-0.172184\pi\)
\(20\) −2.28191 + 3.95238i −0.510251 + 0.883780i
\(21\) −3.74028 + 2.64769i −0.816197 + 0.577774i
\(22\) −3.68194 6.37731i −0.784993 1.35965i
\(23\) 3.47141 2.00422i 0.723839 0.417909i −0.0923250 0.995729i \(-0.529430\pi\)
0.816164 + 0.577820i \(0.196097\pi\)
\(24\) 4.39234 + 1.55716i 0.896582 + 0.317855i
\(25\) 1.47141 2.54856i 0.294282 0.509711i
\(26\) 11.6532 2.28539
\(27\) 4.43334 2.71026i 0.853197 0.521589i
\(28\) −0.760877 + 8.38418i −0.143792 + 1.58446i
\(29\) 1.02859 + 0.593857i 0.191004 + 0.110276i 0.592453 0.805605i \(-0.298160\pi\)
−0.401448 + 0.915882i \(0.631493\pi\)
\(30\) 5.33009 + 1.88962i 0.973138 + 0.344996i
\(31\) 3.24275 1.87220i 0.582414 0.336257i −0.179678 0.983726i \(-0.557506\pi\)
0.762092 + 0.647468i \(0.224172\pi\)
\(32\) −5.13160 + 2.96273i −0.907147 + 0.523742i
\(33\) −4.26186 + 3.63735i −0.741894 + 0.633181i
\(34\) 2.15143 + 1.24213i 0.368967 + 0.213023i
\(35\) −0.342971 + 3.77924i −0.0579728 + 0.638808i
\(36\) 1.50000 9.42724i 0.250000 1.57121i
\(37\) −0.239123 −0.0393116 −0.0196558 0.999807i \(-0.506257\pi\)
−0.0196558 + 0.999807i \(0.506257\pi\)
\(38\) −5.10948 + 8.84988i −0.828867 + 1.43564i
\(39\) −1.61273 8.71878i −0.258243 1.39612i
\(40\) 3.34203 1.92952i 0.528421 0.305084i
\(41\) −3.71620 6.43664i −0.580373 1.00523i −0.995435 0.0954418i \(-0.969574\pi\)
0.415062 0.909793i \(-0.363760\pi\)
\(42\) 10.3872 0.962525i 1.60278 0.148521i
\(43\) −3.82326 + 6.62208i −0.583041 + 1.00986i 0.412075 + 0.911150i \(0.364804\pi\)
−0.995116 + 0.0987075i \(0.968529\pi\)
\(44\) 10.2933i 1.55177i
\(45\) 0.676137 4.24941i 0.100793 0.633464i
\(46\) −9.12476 −1.34537
\(47\) 2.11042 3.65536i 0.307837 0.533189i −0.670052 0.742314i \(-0.733728\pi\)
0.977889 + 0.209125i \(0.0670615\pi\)
\(48\) 0.268872 + 0.315036i 0.0388084 + 0.0454715i
\(49\) 2.35150 + 6.59321i 0.335929 + 0.941887i
\(50\) −5.80150 + 3.34950i −0.820457 + 0.473691i
\(51\) 0.631600 1.78157i 0.0884417 0.249470i
\(52\) −14.1066 8.14447i −1.95624 1.12944i
\(53\) 7.01414i 0.963466i −0.876318 0.481733i \(-0.840008\pi\)
0.876318 0.481733i \(-0.159992\pi\)
\(54\) −11.8247 + 0.297022i −1.60914 + 0.0404196i
\(55\) 4.63977i 0.625627i
\(56\) 4.10189 5.81793i 0.548138 0.777454i
\(57\) 7.32846 + 2.59808i 0.970678 + 0.344124i
\(58\) −1.35185 2.34147i −0.177506 0.307450i
\(59\) 4.73531 + 8.20179i 0.616484 + 1.06778i 0.990122 + 0.140208i \(0.0447770\pi\)
−0.373638 + 0.927575i \(0.621890\pi\)
\(60\) −5.13160 6.01266i −0.662487 0.776231i
\(61\) 2.82757 + 1.63250i 0.362033 + 0.209020i 0.669972 0.742386i \(-0.266306\pi\)
−0.307939 + 0.951406i \(0.599639\pi\)
\(62\) −8.52371 −1.08251
\(63\) −2.15766 7.63836i −0.271840 0.962342i
\(64\) 13.0104 1.62630
\(65\) −6.35868 3.67119i −0.788698 0.455355i
\(66\) 12.5419 2.31989i 1.54380 0.285558i
\(67\) −0.330095 0.571741i −0.0403275 0.0698493i 0.845157 0.534518i \(-0.179507\pi\)
−0.885485 + 0.464669i \(0.846173\pi\)
\(68\) −1.73625 3.00728i −0.210552 0.364686i
\(69\) 1.26280 + 6.82701i 0.152023 + 0.821876i
\(70\) 4.97764 7.06006i 0.594942 0.843838i
\(71\) 3.82347i 0.453762i −0.973922 0.226881i \(-0.927147\pi\)
0.973922 0.226881i \(-0.0728529\pi\)
\(72\) −5.08414 + 6.26926i −0.599171 + 0.738840i
\(73\) 7.31073i 0.855656i −0.903860 0.427828i \(-0.859279\pi\)
0.903860 0.427828i \(-0.140721\pi\)
\(74\) 0.471410 + 0.272169i 0.0548003 + 0.0316390i
\(75\) 3.30893 + 3.87705i 0.382083 + 0.447683i
\(76\) 12.3704 7.14205i 1.41898 0.819249i
\(77\) 3.59195 + 7.76852i 0.409341 + 0.885305i
\(78\) −6.74433 + 19.0239i −0.763644 + 2.15403i
\(79\) −1.83009 + 3.16982i −0.205902 + 0.356632i −0.950420 0.310970i \(-0.899346\pi\)
0.744518 + 0.667602i \(0.232679\pi\)
\(80\) 0.342971 0.0383454
\(81\) 1.85868 + 8.80598i 0.206521 + 0.978442i
\(82\) 16.9190i 1.86839i
\(83\) 5.45245 9.44392i 0.598484 1.03660i −0.394561 0.918870i \(-0.629103\pi\)
0.993045 0.117735i \(-0.0375634\pi\)
\(84\) −13.2468 6.09448i −1.44534 0.664962i
\(85\) −0.782630 1.35556i −0.0848882 0.147031i
\(86\) 15.0744 8.70322i 1.62552 0.938492i
\(87\) −1.56477 + 1.33548i −0.167761 + 0.143178i
\(88\) 4.35185 7.53762i 0.463909 0.803513i
\(89\) −13.6915 −1.45129 −0.725646 0.688068i \(-0.758459\pi\)
−0.725646 + 0.688068i \(0.758459\pi\)
\(90\) −6.16959 + 7.60775i −0.650332 + 0.801927i
\(91\) −13.4887 1.22412i −1.41399 0.128322i
\(92\) 11.0458 + 6.37731i 1.15161 + 0.664881i
\(93\) 1.17962 + 6.37731i 0.122321 + 0.661297i
\(94\) −8.32102 + 4.80415i −0.858248 + 0.495510i
\(95\) 5.57605 3.21934i 0.572091 0.330297i
\(96\) −1.86673 10.0920i −0.190523 1.03001i
\(97\) −2.69709 1.55716i −0.273848 0.158106i 0.356787 0.934186i \(-0.383872\pi\)
−0.630635 + 0.776080i \(0.717205\pi\)
\(98\) 2.86857 15.6744i 0.289770 1.58335i
\(99\) −3.47141 9.06259i −0.348890 0.910824i
\(100\) 9.36389 0.936389
\(101\) −3.54471 + 6.13962i −0.352712 + 0.610915i −0.986724 0.162408i \(-0.948074\pi\)
0.634012 + 0.773324i \(0.281407\pi\)
\(102\) −3.27292 + 2.79332i −0.324067 + 0.276580i
\(103\) −1.47529 + 0.851761i −0.145365 + 0.0839265i −0.570918 0.821007i \(-0.693413\pi\)
0.425553 + 0.904933i \(0.360079\pi\)
\(104\) 6.88674 + 11.9282i 0.675300 + 1.16965i
\(105\) −5.97110 2.74714i −0.582720 0.268093i
\(106\) −7.98345 + 13.8277i −0.775421 + 1.34307i
\(107\) 4.93582i 0.477164i 0.971122 + 0.238582i \(0.0766826\pi\)
−0.971122 + 0.238582i \(0.923317\pi\)
\(108\) 14.5218 + 7.90477i 1.39736 + 0.760637i
\(109\) 8.13844 0.779521 0.389760 0.920916i \(-0.372558\pi\)
0.389760 + 0.920916i \(0.372558\pi\)
\(110\) 5.28096 9.14690i 0.503520 0.872123i
\(111\) 0.138393 0.390368i 0.0131357 0.0370521i
\(112\) 0.574248 0.265516i 0.0542613 0.0250889i
\(113\) −3.39699 + 1.96125i −0.319562 + 0.184499i −0.651197 0.758908i \(-0.725733\pi\)
0.331635 + 0.943408i \(0.392400\pi\)
\(114\) −11.4903 13.4631i −1.07616 1.26093i
\(115\) 4.97900 + 2.87463i 0.464294 + 0.268060i
\(116\) 3.77924i 0.350893i
\(117\) 15.1668 + 2.41323i 1.40217 + 0.223104i
\(118\) 21.5588i 1.98465i
\(119\) −2.35981 1.66376i −0.216323 0.152517i
\(120\) 1.21574 + 6.57256i 0.110981 + 0.599990i
\(121\) −0.267713 0.463693i −0.0243376 0.0421539i
\(122\) −3.71620 6.43664i −0.336449 0.582746i
\(123\) 12.6586 2.34147i 1.14138 0.211123i
\(124\) 10.3182 + 5.95724i 0.926605 + 0.534976i
\(125\) 11.3923 1.01896
\(126\) −4.44029 + 17.5142i −0.395573 + 1.56029i
\(127\) 6.16827 0.547345 0.273673 0.961823i \(-0.411761\pi\)
0.273673 + 0.961823i \(0.411761\pi\)
\(128\) −15.3856 8.88290i −1.35991 0.785145i
\(129\) −8.59781 10.0740i −0.756995 0.886966i
\(130\) 8.35705 + 14.4748i 0.732962 + 1.26953i
\(131\) −4.13138 7.15575i −0.360960 0.625201i 0.627159 0.778891i \(-0.284218\pi\)
−0.988119 + 0.153690i \(0.950884\pi\)
\(132\) −16.8037 5.95724i −1.46258 0.518511i
\(133\) 6.84387 9.70702i 0.593438 0.841706i
\(134\) 1.50285i 0.129826i
\(135\) 6.54583 + 3.56314i 0.563375 + 0.306666i
\(136\) 2.93625i 0.251782i
\(137\) −8.96169 5.17404i −0.765649 0.442048i 0.0656711 0.997841i \(-0.479081\pi\)
−0.831320 + 0.555794i \(0.812415\pi\)
\(138\) 5.28096 14.8962i 0.449546 1.26804i
\(139\) −15.4589 + 8.92521i −1.31121 + 0.757026i −0.982296 0.187334i \(-0.940015\pi\)
−0.328912 + 0.944361i \(0.606682\pi\)
\(140\) −10.9599 + 5.06755i −0.926280 + 0.428286i
\(141\) 4.74596 + 5.56081i 0.399682 + 0.468304i
\(142\) −4.35185 + 7.53762i −0.365199 + 0.632543i
\(143\) −16.5600 −1.38482
\(144\) −0.669905 + 0.256606i −0.0558254 + 0.0213838i
\(145\) 1.70352i 0.141470i
\(146\) −8.32102 + 14.4124i −0.688653 + 1.19278i
\(147\) −12.1243 + 0.0229982i −0.999998 + 0.00189686i
\(148\) −0.380438 0.658939i −0.0312718 0.0541644i
\(149\) −15.1758 + 8.76175i −1.24325 + 0.717790i −0.969754 0.244083i \(-0.921513\pi\)
−0.273495 + 0.961873i \(0.588180\pi\)
\(150\) −2.11042 11.4095i −0.172315 0.931579i
\(151\) −0.550343 + 0.953223i −0.0447863 + 0.0775722i −0.887550 0.460712i \(-0.847594\pi\)
0.842763 + 0.538284i \(0.180927\pi\)
\(152\) −12.0782 −0.979674
\(153\) 2.54287 + 2.06217i 0.205579 + 0.166717i
\(154\) 1.76088 19.4033i 0.141895 1.56356i
\(155\) 4.65103 + 2.68527i 0.373580 + 0.215686i
\(156\) 21.4601 18.3154i 1.71818 1.46641i
\(157\) 8.45150 4.87948i 0.674503 0.389425i −0.123277 0.992372i \(-0.539340\pi\)
0.797781 + 0.602947i \(0.206007\pi\)
\(158\) 7.21574 4.16601i 0.574053 0.331430i
\(159\) 11.4506 + 4.05944i 0.908088 + 0.321934i
\(160\) −7.36019 4.24941i −0.581874 0.335945i
\(161\) 10.5619 + 0.958511i 0.832397 + 0.0755413i
\(162\) 6.35868 19.4757i 0.499585 1.53016i
\(163\) −7.22545 −0.565941 −0.282970 0.959129i \(-0.591320\pi\)
−0.282970 + 0.959129i \(0.591320\pi\)
\(164\) 11.8247 20.4810i 0.923356 1.59930i
\(165\) −7.57442 2.68527i −0.589668 0.209048i
\(166\) −21.4980 + 12.4119i −1.66857 + 0.963350i
\(167\) 8.65419 + 14.9895i 0.669681 + 1.15992i 0.977993 + 0.208637i \(0.0669027\pi\)
−0.308312 + 0.951285i \(0.599764\pi\)
\(168\) 7.12379 + 10.0635i 0.549612 + 0.776413i
\(169\) 6.60301 11.4367i 0.507924 0.879750i
\(170\) 3.56314i 0.273280i
\(171\) −8.48270 + 10.4601i −0.648689 + 0.799900i
\(172\) −24.3308 −1.85520
\(173\) −0.978103 + 1.69412i −0.0743638 + 0.128802i −0.900809 0.434215i \(-0.857026\pi\)
0.826446 + 0.563017i \(0.190359\pi\)
\(174\) 4.60483 0.851761i 0.349091 0.0645718i
\(175\) 7.06710 3.26763i 0.534223 0.247010i
\(176\) 0.669905 0.386770i 0.0504960 0.0291539i
\(177\) −16.1300 + 2.98358i −1.21240 + 0.224260i
\(178\) 26.9915 + 15.5835i 2.02310 + 1.16804i
\(179\) 23.2017i 1.73418i 0.498152 + 0.867090i \(0.334012\pi\)
−0.498152 + 0.867090i \(0.665988\pi\)
\(180\) 12.7856 4.89749i 0.952980 0.365037i
\(181\) 10.2744i 0.763689i 0.924226 + 0.381845i \(0.124711\pi\)
−0.924226 + 0.381845i \(0.875289\pi\)
\(182\) 25.1984 + 17.7659i 1.86783 + 1.31690i
\(183\) −4.30150 + 3.67119i −0.317976 + 0.271382i
\(184\) −5.39248 9.34004i −0.397539 0.688557i
\(185\) −0.171486 0.297022i −0.0126079 0.0218375i
\(186\) 4.93310 13.9149i 0.361713 1.02029i
\(187\) −3.05733 1.76515i −0.223574 0.129080i
\(188\) 13.4305 0.979520
\(189\) 13.7183 + 0.898326i 0.997863 + 0.0653436i
\(190\) −14.6569 −1.06332
\(191\) 19.6758 + 11.3598i 1.42369 + 0.821968i 0.996612 0.0822464i \(-0.0262094\pi\)
0.427079 + 0.904215i \(0.359543\pi\)
\(192\) −7.52978 + 21.2394i −0.543415 + 1.53283i
\(193\) −8.43598 14.6116i −0.607235 1.05176i −0.991694 0.128620i \(-0.958945\pi\)
0.384459 0.923142i \(-0.374388\pi\)
\(194\) 3.54471 + 6.13962i 0.254495 + 0.440799i
\(195\) 9.67330 8.25583i 0.692719 0.591212i
\(196\) −14.4274 + 16.9695i −1.03053 + 1.21211i
\(197\) 8.94426i 0.637252i −0.947880 0.318626i \(-0.896779\pi\)
0.947880 0.318626i \(-0.103221\pi\)
\(198\) −3.47141 + 21.8172i −0.246702 + 1.55048i
\(199\) 5.78528i 0.410108i 0.978751 + 0.205054i \(0.0657369\pi\)
−0.978751 + 0.205054i \(0.934263\pi\)
\(200\) −6.85705 3.95892i −0.484867 0.279938i
\(201\) 1.12441 0.207983i 0.0793097 0.0146700i
\(202\) 13.9762 8.06914i 0.983359 0.567743i
\(203\) 1.31881 + 2.85226i 0.0925621 + 0.200189i
\(204\) 5.91423 1.09396i 0.414079 0.0765927i
\(205\) 5.33009 9.23200i 0.372270 0.644791i
\(206\) 3.87788 0.270185
\(207\) −11.8759 1.88962i −0.825434 0.131338i
\(208\) 1.22412i 0.0848771i
\(209\) 7.26091 12.5763i 0.502248 0.869918i
\(210\) 8.64471 + 12.2120i 0.596542 + 0.842708i
\(211\) −12.9451 22.4216i −0.891180 1.54357i −0.838462 0.544960i \(-0.816545\pi\)
−0.0527186 0.998609i \(-0.516789\pi\)
\(212\) 19.3285 11.1593i 1.32748 0.766423i
\(213\) 6.24180 + 2.21284i 0.427681 + 0.151621i
\(214\) 5.61793 9.73053i 0.384034 0.665166i
\(215\) −10.9673 −0.747964
\(216\) −7.29211 11.9282i −0.496165 0.811610i
\(217\) 9.86621 + 0.895374i 0.669762 + 0.0607819i
\(218\) −16.0442 9.26312i −1.08665 0.627378i
\(219\) 11.9347 + 4.23109i 0.806475 + 0.285910i
\(220\) −12.7856 + 7.38175i −0.862003 + 0.497678i
\(221\) 4.83818 2.79332i 0.325451 0.187899i
\(222\) −0.717144 + 0.612058i −0.0481315 + 0.0410786i
\(223\) −15.4827 8.93892i −1.03680 0.598594i −0.117871 0.993029i \(-0.537607\pi\)
−0.918924 + 0.394435i \(0.870940\pi\)
\(224\) −15.6131 1.41692i −1.04320 0.0946717i
\(225\) −8.24433 + 3.15798i −0.549622 + 0.210532i
\(226\) 8.92915 0.593958
\(227\) 5.48365 9.49796i 0.363963 0.630402i −0.624646 0.780908i \(-0.714757\pi\)
0.988609 + 0.150506i \(0.0480902\pi\)
\(228\) 4.50000 + 24.3281i 0.298020 + 1.61117i
\(229\) 16.8349 9.71965i 1.11248 0.642293i 0.173012 0.984920i \(-0.444650\pi\)
0.939471 + 0.342627i \(0.111317\pi\)
\(230\) −6.54377 11.3341i −0.431483 0.747351i
\(231\) −14.7609 + 1.36781i −0.971198 + 0.0899954i
\(232\) 1.59781 2.76748i 0.104901 0.181694i
\(233\) 2.94031i 0.192626i 0.995351 + 0.0963131i \(0.0307050\pi\)
−0.995351 + 0.0963131i \(0.969295\pi\)
\(234\) −27.1532 22.0202i −1.77506 1.43950i
\(235\) 6.05391 0.394914
\(236\) −15.0675 + 26.0976i −0.980809 + 1.69881i
\(237\) −4.11555 4.82216i −0.267334 0.313233i
\(238\) 2.75846 + 5.96588i 0.178804 + 0.386710i
\(239\) −10.7255 + 6.19234i −0.693772 + 0.400549i −0.805023 0.593243i \(-0.797847\pi\)
0.111252 + 0.993792i \(0.464514\pi\)
\(240\) −0.198495 + 0.559900i −0.0128128 + 0.0361414i
\(241\) −11.6943 6.75168i −0.753293 0.434914i 0.0735896 0.997289i \(-0.476555\pi\)
−0.826882 + 0.562375i \(0.809888\pi\)
\(242\) 1.21884i 0.0783499i
\(243\) −15.4515 2.06217i −0.991211 0.132288i
\(244\) 10.3890i 0.665089i
\(245\) −6.50325 + 7.64915i −0.415478 + 0.488686i
\(246\) −27.6202 9.79190i −1.76100 0.624308i
\(247\) 11.4903 + 19.9018i 0.731109 + 1.26632i
\(248\) −5.03727 8.72481i −0.319867 0.554026i
\(249\) 12.2616 + 14.3668i 0.777045 + 0.910458i
\(250\) −22.4589 12.9666i −1.42042 0.820082i
\(251\) −7.51441 −0.474305 −0.237153 0.971472i \(-0.576214\pi\)
−0.237153 + 0.971472i \(0.576214\pi\)
\(252\) 17.6158 18.0982i 1.10969 1.14008i
\(253\) 12.9669 0.815222
\(254\) −12.1602 7.02069i −0.762998 0.440517i
\(255\) 2.66589 0.493113i 0.166944 0.0308799i
\(256\) 7.21053 + 12.4890i 0.450658 + 0.780563i
\(257\) −3.87788 6.71668i −0.241895 0.418975i 0.719359 0.694639i \(-0.244436\pi\)
−0.961254 + 0.275664i \(0.911102\pi\)
\(258\) 5.48365 + 29.6459i 0.341397 + 1.84568i
\(259\) −0.517068 0.364555i −0.0321290 0.0226523i
\(260\) 23.3630i 1.44891i
\(261\) −1.27455 3.32738i −0.0788927 0.205960i
\(262\) 18.8092i 1.16204i
\(263\) −12.1127 6.99329i −0.746903 0.431224i 0.0776710 0.996979i \(-0.475252\pi\)
−0.824574 + 0.565755i \(0.808585\pi\)
\(264\) 9.78651 + 11.4668i 0.602318 + 0.705732i
\(265\) 8.71246 5.03014i 0.535202 0.308999i
\(266\) −24.5405 + 11.3469i −1.50468 + 0.695721i
\(267\) 7.92395 22.3513i 0.484938 1.36788i
\(268\) 1.05034 1.81925i 0.0641599 0.111128i
\(269\) 25.8321 1.57501 0.787505 0.616308i \(-0.211372\pi\)
0.787505 + 0.616308i \(0.211372\pi\)
\(270\) −8.84897 14.4748i −0.538531 0.880910i
\(271\) 16.6537i 1.01164i −0.862639 0.505821i \(-0.831190\pi\)
0.862639 0.505821i \(-0.168810\pi\)
\(272\) −0.130480 + 0.225997i −0.00791148 + 0.0137031i
\(273\) 9.80493 21.3117i 0.593422 1.28984i
\(274\) 11.7781 + 20.4003i 0.711542 + 1.23243i
\(275\) 8.24433 4.75986i 0.497152 0.287031i
\(276\) −16.8037 + 14.3414i −1.01147 + 0.863252i
\(277\) −15.7044 + 27.2008i −0.943585 + 1.63434i −0.185025 + 0.982734i \(0.559237\pi\)
−0.758560 + 0.651603i \(0.774097\pi\)
\(278\) 40.6345 2.43709
\(279\) −11.0937 1.76515i −0.664160 0.105677i
\(280\) 10.1683 + 0.922786i 0.607670 + 0.0551470i
\(281\) 8.10464 + 4.67922i 0.483483 + 0.279139i 0.721867 0.692032i \(-0.243284\pi\)
−0.238384 + 0.971171i \(0.576618\pi\)
\(282\) −3.02696 16.3645i −0.180253 0.974489i
\(283\) 13.6603 7.88676i 0.812018 0.468819i −0.0356380 0.999365i \(-0.511346\pi\)
0.847656 + 0.530546i \(0.178013\pi\)
\(284\) 10.5361 6.08303i 0.625203 0.360961i
\(285\) 2.02841 + 10.9661i 0.120153 + 0.649575i
\(286\) 32.6466 + 18.8485i 1.93044 + 1.11454i
\(287\) 1.77726 19.5838i 0.104908 1.15599i
\(288\) 17.5555 + 2.79332i 1.03447 + 0.164598i
\(289\) −15.8090 −0.929943
\(290\) 1.93894 3.35834i 0.113858 0.197209i
\(291\) 4.10301 3.50178i 0.240523 0.205278i
\(292\) 20.1458 11.6312i 1.17894 0.680662i
\(293\) −12.4287 21.5271i −0.726090 1.25762i −0.958524 0.285013i \(-0.908002\pi\)
0.232434 0.972612i \(-0.425331\pi\)
\(294\) 23.9282 + 13.7545i 1.39552 + 0.802179i
\(295\) −6.79179 + 11.7637i −0.395433 + 0.684911i
\(296\) 0.643376i 0.0373955i
\(297\) 16.8037 0.422088i 0.975051 0.0244920i
\(298\) 39.8903 2.31078
\(299\) −10.2600 + 17.7708i −0.593349 + 1.02771i
\(300\) −5.41936 + 15.2865i −0.312887 + 0.882568i
\(301\) −18.3629 + 8.49050i −1.05842 + 0.489384i
\(302\) 2.16991 1.25280i 0.124864 0.0720903i
\(303\) −7.97141 9.34004i −0.457946 0.536571i
\(304\) −0.929636 0.536725i −0.0533183 0.0307833i
\(305\) 4.68294i 0.268144i
\(306\) −2.66589 6.95966i −0.152399 0.397857i
\(307\) 18.8878i 1.07799i 0.842310 + 0.538993i \(0.181195\pi\)
−0.842310 + 0.538993i \(0.818805\pi\)
\(308\) −15.6926 + 22.2576i −0.894168 + 1.26825i
\(309\) −0.536670 2.90137i −0.0305301 0.165053i
\(310\) −6.11273 10.5876i −0.347179 0.601332i
\(311\) −3.97716 6.88864i −0.225524 0.390619i 0.730953 0.682428i \(-0.239076\pi\)
−0.956476 + 0.291809i \(0.905743\pi\)
\(312\) −23.4584 + 4.33914i −1.32807 + 0.245655i
\(313\) −9.64210 5.56687i −0.545004 0.314658i 0.202101 0.979365i \(-0.435223\pi\)
−0.747104 + 0.664707i \(0.768556\pi\)
\(314\) −22.2152 −1.25367
\(315\) 7.94047 8.15790i 0.447395 0.459645i
\(316\) −11.6465 −0.655168
\(317\) −20.1380 11.6267i −1.13107 0.653021i −0.186863 0.982386i \(-0.559832\pi\)
−0.944203 + 0.329365i \(0.893165\pi\)
\(318\) −17.9533 21.0358i −1.00677 1.17963i
\(319\) 1.92107 + 3.32738i 0.107559 + 0.186298i
\(320\) 9.33033 + 16.1606i 0.521581 + 0.903405i
\(321\) −8.05772 2.85661i −0.449738 0.159441i
\(322\) −19.7309 13.9111i −1.09956 0.775238i
\(323\) 4.89904i 0.272590i
\(324\) −21.3090 + 19.1319i −1.18383 + 1.06289i
\(325\) 15.0648i 0.835646i
\(326\) 14.2443 + 8.22396i 0.788920 + 0.455483i
\(327\) −4.71013 + 13.2860i −0.260471 + 0.734716i
\(328\) −17.3182 + 9.99866i −0.956237 + 0.552084i
\(329\) 10.1363 4.68672i 0.558830 0.258387i
\(330\) 11.8759 + 13.9149i 0.653748 + 0.765992i
\(331\) 9.57962 16.5924i 0.526544 0.912000i −0.472978 0.881074i \(-0.656821\pi\)
0.999522 0.0309261i \(-0.00984566\pi\)
\(332\) 34.6988 1.90434
\(333\) 0.557180 + 0.451852i 0.0305333 + 0.0247613i
\(334\) 39.4006i 2.15590i
\(335\) 0.473451 0.820041i 0.0258674 0.0448036i
\(336\) 0.101108 + 1.09113i 0.00551592 + 0.0595258i
\(337\) 14.2781 + 24.7304i 0.777779 + 1.34715i 0.933219 + 0.359307i \(0.116987\pi\)
−0.155441 + 0.987845i \(0.549680\pi\)
\(338\) −26.0345 + 15.0310i −1.41609 + 0.817579i
\(339\) −1.23573 6.68065i −0.0671156 0.362843i
\(340\) 2.49028 4.31330i 0.135055 0.233922i
\(341\) 12.1128 0.655943
\(342\) 28.6285 10.9661i 1.54805 0.592978i
\(343\) −4.96690 + 17.8418i −0.268187 + 0.963367i
\(344\) 17.8171 + 10.2867i 0.960634 + 0.554622i
\(345\) −7.57442 + 6.46451i −0.407793 + 0.348038i
\(346\) 3.85648 2.22654i 0.207326 0.119700i
\(347\) 2.56690 1.48200i 0.137798 0.0795578i −0.429516 0.903059i \(-0.641316\pi\)
0.567314 + 0.823501i \(0.307983\pi\)
\(348\) −6.16959 2.18724i −0.330725 0.117248i
\(349\) 23.3885 + 13.5034i 1.25196 + 0.722818i 0.971498 0.237048i \(-0.0761797\pi\)
0.280460 + 0.959866i \(0.409513\pi\)
\(350\) −17.6514 1.60189i −0.943504 0.0856245i
\(351\) −12.7174 + 23.3630i −0.678803 + 1.24703i
\(352\) −19.1683 −1.02167
\(353\) −14.8238 + 25.6755i −0.788990 + 1.36657i 0.137596 + 0.990488i \(0.456063\pi\)
−0.926586 + 0.376083i \(0.877271\pi\)
\(354\) 35.1947 + 12.4772i 1.87058 + 0.663154i
\(355\) 4.74924 2.74198i 0.252064 0.145529i
\(356\) −21.7827 37.7288i −1.15448 1.99962i
\(357\) 4.08183 2.88947i 0.216033 0.152927i
\(358\) 26.4081 45.7401i 1.39571 2.41744i
\(359\) 24.6261i 1.29972i −0.760056 0.649858i \(-0.774828\pi\)
0.760056 0.649858i \(-0.225172\pi\)
\(360\) −11.4333 1.81919i −0.602587 0.0958797i
\(361\) −1.15211 −0.0606373
\(362\) 11.6943 20.2550i 0.614636 1.06458i
\(363\) 0.911917 0.168678i 0.0478632 0.00885332i
\(364\) −18.0868 39.1174i −0.948008 2.05031i
\(365\) 9.08087 5.24284i 0.475314 0.274423i
\(366\) 12.6586 2.34147i 0.661673 0.122391i
\(367\) 4.85598 + 2.80360i 0.253480 + 0.146347i 0.621357 0.783528i \(-0.286582\pi\)
−0.367877 + 0.929875i \(0.619915\pi\)
\(368\) 0.958511i 0.0499658i
\(369\) −3.50371 + 22.0202i −0.182396 + 1.14633i
\(370\) 0.780736i 0.0405885i
\(371\) 10.6934 15.1670i 0.555173 0.787432i
\(372\) −15.6969 + 13.3967i −0.813844 + 0.694588i
\(373\) 1.86677 + 3.23333i 0.0966574 + 0.167416i 0.910299 0.413951i \(-0.135852\pi\)
−0.813642 + 0.581367i \(0.802518\pi\)
\(374\) 4.01816 + 6.95966i 0.207774 + 0.359876i
\(375\) −6.59329 + 18.5979i −0.340476 + 0.960390i
\(376\) −9.83498 5.67823i −0.507200 0.292832i
\(377\) −6.08012 −0.313142
\(378\) −26.0220 17.3851i −1.33843 0.894194i
\(379\) −30.4419 −1.56369 −0.781847 0.623470i \(-0.785722\pi\)
−0.781847 + 0.623470i \(0.785722\pi\)
\(380\) 17.7427 + 10.2437i 0.910181 + 0.525493i
\(381\) −3.56989 + 10.0697i −0.182891 + 0.515886i
\(382\) −25.8594 44.7897i −1.32308 2.29164i
\(383\) 8.49251 + 14.7095i 0.433947 + 0.751618i 0.997209 0.0746601i \(-0.0237872\pi\)
−0.563262 + 0.826278i \(0.690454\pi\)
\(384\) 23.4058 19.9760i 1.19442 1.01940i
\(385\) −7.07356 + 10.0328i −0.360502 + 0.511319i
\(386\) 38.4071i 1.95487i
\(387\) 21.4218 8.20557i 1.08893 0.417113i
\(388\) 9.90962i 0.503085i
\(389\) 9.43310 + 5.44621i 0.478277 + 0.276134i 0.719698 0.694287i \(-0.244280\pi\)
−0.241421 + 0.970420i \(0.577613\pi\)
\(390\) −28.4668 + 5.26554i −1.44147 + 0.266631i
\(391\) −3.78840 + 2.18724i −0.191588 + 0.110613i
\(392\) 17.7394 6.32687i 0.895977 0.319555i
\(393\) 14.0728 2.60306i 0.709878 0.131307i
\(394\) −10.1803 + 17.6328i −0.512877 + 0.888328i
\(395\) −5.24976 −0.264144
\(396\) 19.4503 23.9843i 0.977417 1.20526i
\(397\) 22.3035i 1.11938i −0.828702 0.559690i \(-0.810920\pi\)
0.828702 0.559690i \(-0.189080\pi\)
\(398\) 6.58477 11.4052i 0.330065 0.571689i
\(399\) 11.8858 + 16.7905i 0.595034 + 0.840578i
\(400\) −0.351848 0.609419i −0.0175924 0.0304710i
\(401\) 20.8554 12.0409i 1.04147 0.601293i 0.121221 0.992626i \(-0.461319\pi\)
0.920249 + 0.391333i \(0.127986\pi\)
\(402\) −2.45340 0.869775i −0.122364 0.0433804i
\(403\) −9.58414 + 16.6002i −0.477420 + 0.826915i
\(404\) −22.5581 −1.12231
\(405\) −9.60522 + 8.62388i −0.477287 + 0.428524i
\(406\) 0.646517 7.12403i 0.0320861 0.353560i
\(407\) −0.669905 0.386770i −0.0332060 0.0191715i
\(408\) −4.79342 1.69936i −0.237310 0.0841308i
\(409\) −22.8191 + 13.1746i −1.12833 + 0.651443i −0.943515 0.331330i \(-0.892503\pi\)
−0.184817 + 0.982773i \(0.559169\pi\)
\(410\) −21.0156 + 12.1334i −1.03789 + 0.599224i
\(411\) 13.6332 11.6355i 0.672476 0.573935i
\(412\) −4.69430 2.71026i −0.231272 0.133525i
\(413\) −2.26464 + 24.9543i −0.111436 + 1.22792i
\(414\) 21.2616 + 17.2423i 1.04495 + 0.847414i
\(415\) 15.6408 0.767775
\(416\) 15.1668 26.2696i 0.743611 1.28797i
\(417\) −5.62352 30.4021i −0.275385 1.48880i
\(418\) −28.6285 + 16.5286i −1.40026 + 0.808443i
\(419\) 16.1761 + 28.0178i 0.790252 + 1.36876i 0.925811 + 0.377988i \(0.123384\pi\)
−0.135558 + 0.990769i \(0.543283\pi\)
\(420\) −1.92972 20.8248i −0.0941607 1.01615i
\(421\) −5.54746 + 9.60849i −0.270367 + 0.468289i −0.968956 0.247234i \(-0.920478\pi\)
0.698589 + 0.715523i \(0.253812\pi\)
\(422\) 58.9363i 2.86898i
\(423\) −11.8247 + 4.52945i −0.574938 + 0.220229i
\(424\) −18.8720 −0.916504
\(425\) −1.60577 + 2.78128i −0.0778914 + 0.134912i
\(426\) −9.78651 11.4668i −0.474158 0.555568i
\(427\) 3.62537 + 7.84079i 0.175444 + 0.379443i
\(428\) −13.6014 + 7.85276i −0.657447 + 0.379577i
\(429\) 9.58414 27.0342i 0.462726 1.30522i
\(430\) 21.6210 + 12.4829i 1.04266 + 0.601980i
\(431\) 16.3047i 0.785368i −0.919673 0.392684i \(-0.871547\pi\)
0.919673 0.392684i \(-0.128453\pi\)
\(432\) −0.0312007 1.24213i −0.00150114 0.0597620i
\(433\) 12.5359i 0.602438i −0.953555 0.301219i \(-0.902606\pi\)
0.953555 0.301219i \(-0.0973936\pi\)
\(434\) −18.4312 12.9948i −0.884728 0.623771i
\(435\) −2.78100 0.985915i −0.133339 0.0472710i
\(436\) 12.9480 + 22.4266i 0.620098 + 1.07404i
\(437\) −8.99716 15.5835i −0.430393 0.745462i
\(438\) −18.7125 21.9253i −0.894116 1.04763i
\(439\) 16.1276 + 9.31127i 0.769728 + 0.444403i 0.832778 0.553608i \(-0.186749\pi\)
−0.0630496 + 0.998010i \(0.520083\pi\)
\(440\) 12.4836 0.595132
\(441\) 6.97942 19.8063i 0.332354 0.943155i
\(442\) −12.7174 −0.604904
\(443\) 4.11436 + 2.37543i 0.195479 + 0.112860i 0.594545 0.804062i \(-0.297332\pi\)
−0.399066 + 0.916922i \(0.630666\pi\)
\(444\) 1.29589 0.239703i 0.0615004 0.0113758i
\(445\) −9.81875 17.0066i −0.465453 0.806189i
\(446\) 20.3484 + 35.2445i 0.963527 + 1.66888i
\(447\) −5.52053 29.8453i −0.261112 1.41163i
\(448\) 28.1330 + 19.8350i 1.32916 + 0.937115i
\(449\) 16.2393i 0.766379i −0.923670 0.383189i \(-0.874826\pi\)
0.923670 0.383189i \(-0.125174\pi\)
\(450\) 19.8473 + 3.15798i 0.935612 + 0.148868i
\(451\) 24.0431i 1.13214i
\(452\) −10.8090 6.24060i −0.508414 0.293533i
\(453\) −1.23762 1.45011i −0.0581485 0.0681322i
\(454\) −21.6210 + 12.4829i −1.01473 + 0.585852i
\(455\) −8.15279 17.6325i −0.382209 0.826625i
\(456\) 6.99028 19.7177i 0.327350 0.923365i
\(457\) 2.87360 4.97722i 0.134421 0.232825i −0.790955 0.611874i \(-0.790416\pi\)
0.925376 + 0.379050i \(0.123749\pi\)
\(458\) −44.2514 −2.06773
\(459\) −4.83818 + 2.95774i −0.225827 + 0.138056i
\(460\) 18.2938i 0.852953i
\(461\) −18.1346 + 31.4101i −0.844613 + 1.46291i 0.0413440 + 0.999145i \(0.486836\pi\)
−0.885957 + 0.463768i \(0.846497\pi\)
\(462\) 30.6567 + 14.1043i 1.42628 + 0.656191i
\(463\) 14.6202 + 25.3230i 0.679461 + 1.17686i 0.975144 + 0.221574i \(0.0711195\pi\)
−0.295683 + 0.955286i \(0.595547\pi\)
\(464\) 0.245960 0.142005i 0.0114184 0.00659241i
\(465\) −7.07549 + 6.03869i −0.328118 + 0.280038i
\(466\) 3.34665 5.79656i 0.155030 0.268521i
\(467\) −2.64215 −0.122264 −0.0611320 0.998130i \(-0.519471\pi\)
−0.0611320 + 0.998130i \(0.519471\pi\)
\(468\) 17.4799 + 45.6336i 0.808007 + 2.10941i
\(469\) 0.157867 1.73955i 0.00728961 0.0803249i
\(470\) −11.9347 6.89053i −0.550508 0.317836i
\(471\) 3.07442 + 16.6211i 0.141662 + 0.765858i
\(472\) 22.0674 12.7406i 1.01574 0.586435i
\(473\) −21.4218 + 12.3679i −0.984973 + 0.568675i
\(474\) 2.62488 + 14.1907i 0.120565 + 0.651803i
\(475\) −11.4408 6.60532i −0.524938 0.303073i
\(476\) 0.830357 9.14978i 0.0380593 0.419380i
\(477\) −13.2540 + 16.3436i −0.606861 + 0.748322i
\(478\) 28.1923 1.28949
\(479\) 15.5409 26.9177i 0.710083 1.22990i −0.254742 0.967009i \(-0.581991\pi\)
0.964826 0.262891i \(-0.0846760\pi\)
\(480\) 11.1969 9.55614i 0.511064 0.436176i
\(481\) 1.06012 0.612058i 0.0483371 0.0279074i
\(482\) 15.3694 + 26.6207i 0.700059 + 1.21254i
\(483\) −7.67749 + 16.6876i −0.349338 + 0.759311i
\(484\) 0.851848 1.47544i 0.0387204 0.0670657i
\(485\) 4.46684i 0.202829i
\(486\) 28.1140 + 21.6521i 1.27528 + 0.982161i
\(487\) 34.8720 1.58020 0.790100 0.612978i \(-0.210029\pi\)
0.790100 + 0.612978i \(0.210029\pi\)
\(488\) 4.39234 7.60775i 0.198832 0.344387i
\(489\) 4.18174 11.7955i 0.189105 0.533412i
\(490\) 21.5268 7.67765i 0.972482 0.346841i
\(491\) −22.6758 + 13.0919i −1.02334 + 0.590828i −0.915071 0.403293i \(-0.867866\pi\)
−0.108273 + 0.994121i \(0.534532\pi\)
\(492\) 26.5917 + 31.1573i 1.19884 + 1.40468i
\(493\) −1.12252 0.648085i −0.0505556 0.0291883i
\(494\) 52.3127i 2.35366i
\(495\) 8.76740 10.8111i 0.394065 0.485924i
\(496\) 0.895374i 0.0402035i
\(497\) 5.82906 8.26767i 0.261469 0.370856i
\(498\) −7.82038 42.2789i −0.350440 1.89456i
\(499\) −6.23912 10.8065i −0.279302 0.483764i 0.691910 0.721984i \(-0.256770\pi\)
−0.971211 + 0.238220i \(0.923436\pi\)
\(500\) 18.1248 + 31.3931i 0.810566 + 1.40394i
\(501\) −29.4789 + 5.45276i −1.31702 + 0.243611i
\(502\) 14.8140 + 8.55285i 0.661180 + 0.381733i
\(503\) 37.8479 1.68756 0.843778 0.536693i \(-0.180327\pi\)
0.843778 + 0.536693i \(0.180327\pi\)
\(504\) −20.5515 + 5.80533i −0.915435 + 0.258590i
\(505\) −10.1683 −0.452482
\(506\) −25.5631 14.7588i −1.13642 0.656111i
\(507\) 14.8490 + 17.3984i 0.659466 + 0.772691i
\(508\) 9.81354 + 16.9976i 0.435406 + 0.754145i
\(509\) −17.6924 30.6441i −0.784200 1.35827i −0.929476 0.368883i \(-0.879740\pi\)
0.145276 0.989391i \(-0.453593\pi\)
\(510\) −5.81682 2.06217i −0.257573 0.0913144i
\(511\) 11.1456 15.8083i 0.493050 0.699320i
\(512\) 2.70367i 0.119486i
\(513\) −12.1666 19.9018i −0.537170 0.878684i
\(514\) 17.6551i 0.778734i
\(515\) −2.11599 1.22167i −0.0932419 0.0538332i
\(516\) 14.0815 39.7199i 0.619902 1.74857i
\(517\) 11.8247 6.82701i 0.520051 0.300252i
\(518\) 0.604419 + 1.30721i 0.0265566 + 0.0574356i
\(519\) −2.19957 2.57723i −0.0965506 0.113128i
\(520\) −9.87756 + 17.1084i −0.433160 + 0.750255i
\(521\) 2.31879 0.101588 0.0507940 0.998709i \(-0.483825\pi\)
0.0507940 + 0.998709i \(0.483825\pi\)
\(522\) −1.27455 + 8.01033i −0.0557855 + 0.350602i
\(523\) 20.1840i 0.882585i 0.897363 + 0.441293i \(0.145480\pi\)
−0.897363 + 0.441293i \(0.854520\pi\)
\(524\) 13.1458 22.7692i 0.574277 0.994677i
\(525\) 1.24431 + 13.4282i 0.0543062 + 0.586053i
\(526\) 15.9194 + 27.5733i 0.694120 + 1.20225i
\(527\) −3.53886 + 2.04316i −0.154155 + 0.0890015i
\(528\) 0.243693 + 1.31746i 0.0106054 + 0.0573352i
\(529\) −3.46621 + 6.00365i −0.150705 + 0.261028i
\(530\) −22.9011 −0.994761
\(531\) 4.46454 28.0589i 0.193745 1.21765i
\(532\) 37.6375 + 3.41566i 1.63179 + 0.148088i
\(533\) 32.9503 + 19.0239i 1.42724 + 0.824016i
\(534\) −41.0614 + 35.0445i −1.77690 + 1.51653i
\(535\) −6.13093 + 3.53970i −0.265063 + 0.153034i
\(536\) −1.53831 + 0.888141i −0.0664447 + 0.0383618i
\(537\) −37.8768 13.4280i −1.63450 0.579462i
\(538\) −50.9256 29.4019i −2.19556 1.26761i
\(539\) −4.07644 + 22.2744i −0.175585 + 0.959424i
\(540\) 0.595485 + 23.7068i 0.0256256 + 1.02018i
\(541\) −22.7713 −0.979014 −0.489507 0.871999i \(-0.662823\pi\)
−0.489507 + 0.871999i \(0.662823\pi\)
\(542\) −18.9552 + 32.8313i −0.814194 + 1.41023i
\(543\) −16.7729 5.94631i −0.719795 0.255181i
\(544\) 5.60020 3.23327i 0.240106 0.138626i
\(545\) 5.83643 + 10.1090i 0.250005 + 0.433022i
\(546\) −43.5864 + 30.8542i −1.86533 + 1.32044i
\(547\) 14.7918 25.6201i 0.632451 1.09544i −0.354598 0.935019i \(-0.615382\pi\)
0.987049 0.160419i \(-0.0512845\pi\)
\(548\) 32.9270i 1.40657i
\(549\) −3.50371 9.14690i −0.149535 0.390380i
\(550\) −21.6706 −0.924037
\(551\) 2.66589 4.61745i 0.113571 0.196710i
\(552\) 18.3685 3.39765i 0.781815 0.144613i
\(553\) −8.78984 + 4.06418i −0.373782 + 0.172827i
\(554\) 61.9196 35.7493i 2.63071 1.51884i
\(555\) 0.584135 0.108048i 0.0247952 0.00458639i
\(556\) −49.1894 28.3995i −2.08609 1.20441i
\(557\) 4.71407i 0.199741i 0.995000 + 0.0998707i \(0.0318429\pi\)
−0.995000 + 0.0998707i \(0.968157\pi\)
\(558\) 19.8611 + 16.1066i 0.840786 + 0.681845i
\(559\) 39.1439i 1.65561i
\(560\) 0.741624 + 0.522877i 0.0313393 + 0.0220956i
\(561\) 4.65103 3.96950i 0.196367 0.167592i
\(562\) −10.6517 18.4493i −0.449316 0.778238i
\(563\) −13.6742 23.6844i −0.576299 0.998179i −0.995899 0.0904697i \(-0.971163\pi\)
0.419601 0.907709i \(-0.362170\pi\)
\(564\) −7.77292 + 21.9253i −0.327299 + 0.923220i
\(565\) −4.87226 2.81300i −0.204977 0.118344i
\(566\) −35.9066 −1.50927
\(567\) −9.40602 + 21.8753i −0.395016 + 0.918674i
\(568\) −10.2873 −0.431645
\(569\) 20.4018 + 11.7790i 0.855288 + 0.493801i 0.862432 0.506174i \(-0.168941\pi\)
−0.00714355 + 0.999974i \(0.502274\pi\)
\(570\) 8.48270 23.9274i 0.355301 1.00221i
\(571\) −9.59385 16.6170i −0.401490 0.695401i 0.592416 0.805632i \(-0.298174\pi\)
−0.993906 + 0.110231i \(0.964841\pi\)
\(572\) −26.3465 45.6336i −1.10160 1.90804i
\(573\) −29.9323 + 25.5462i −1.25044 + 1.06721i
\(574\) −25.7939 + 36.5848i −1.07661 + 1.52702i
\(575\) 11.7961i 0.491932i
\(576\) −30.3155 24.5847i −1.26314 1.02436i
\(577\) 2.23413i 0.0930079i 0.998918 + 0.0465039i \(0.0148080\pi\)
−0.998918 + 0.0465039i \(0.985192\pi\)
\(578\) 31.1661 + 17.9937i 1.29634 + 0.748441i
\(579\) 28.7357 5.31527i 1.19421 0.220895i
\(580\) −4.69430 + 2.71026i −0.194920 + 0.112537i
\(581\) 26.1878 12.1085i 1.08645 0.502346i
\(582\) −12.0744 + 2.23342i −0.500501 + 0.0925783i
\(583\) 11.3450 19.6501i 0.469862 0.813826i
\(584\) −19.6700 −0.813949
\(585\) 7.87919 + 20.5697i 0.325765 + 0.850453i
\(586\) 56.5849i 2.33750i
\(587\) −12.9883 + 22.4963i −0.536083 + 0.928522i 0.463028 + 0.886344i \(0.346763\pi\)
−0.999110 + 0.0421784i \(0.986570\pi\)
\(588\) −19.3528 33.3738i −0.798098 1.37631i
\(589\) −8.40451 14.5570i −0.346302 0.599813i
\(590\) 26.7788 15.4608i 1.10247 0.636509i
\(591\) 14.6015 + 5.17650i 0.600625 + 0.212933i
\(592\) −0.0285900 + 0.0495193i −0.00117504 + 0.00203523i
\(593\) 5.71754 0.234791 0.117396 0.993085i \(-0.462545\pi\)
0.117396 + 0.993085i \(0.462545\pi\)
\(594\) −33.6075 18.2938i −1.37893 0.750604i
\(595\) 0.374290 4.12434i 0.0153444 0.169081i
\(596\) −48.2885 27.8794i −1.97797 1.14198i
\(597\) −9.44445 3.34824i −0.386536 0.137034i
\(598\) 40.4532 23.3557i 1.65425 0.955084i
\(599\) 21.8662 12.6245i 0.893429 0.515822i 0.0183665 0.999831i \(-0.494153\pi\)
0.875063 + 0.484010i \(0.160820\pi\)
\(600\) 10.4314 8.90289i 0.425862 0.363459i
\(601\) 40.2546 + 23.2410i 1.64202 + 0.948021i 0.980114 + 0.198435i \(0.0635858\pi\)
0.661907 + 0.749586i \(0.269748\pi\)
\(602\) 45.8646 + 4.16229i 1.86930 + 0.169642i
\(603\) −0.311220 + 1.95596i −0.0126739 + 0.0796530i
\(604\) −3.50232 −0.142508
\(605\) 0.383978 0.665069i 0.0156109 0.0270389i
\(606\) 5.08414 + 27.4861i 0.206529 + 1.11655i
\(607\) −6.09405 + 3.51840i −0.247350 + 0.142808i −0.618550 0.785745i \(-0.712280\pi\)
0.371200 + 0.928553i \(0.378946\pi\)
\(608\) 13.3000 + 23.0363i 0.539387 + 0.934246i
\(609\) −5.41957 + 0.502201i −0.219612 + 0.0203502i
\(610\) 5.33009 9.23200i 0.215809 0.373793i
\(611\) 21.6073i 0.874138i
\(612\) −1.63697 + 10.2881i −0.0661707 + 0.415872i
\(613\) 6.54256 0.264252 0.132126 0.991233i \(-0.457820\pi\)
0.132126 + 0.991233i \(0.457820\pi\)
\(614\) 21.4980 37.2357i 0.867590 1.50271i
\(615\) 11.9864 + 14.0444i 0.483339 + 0.566324i
\(616\) 20.9017 9.66437i 0.842153 0.389388i
\(617\) −30.0043 + 17.3230i −1.20793 + 0.697396i −0.962306 0.271970i \(-0.912325\pi\)
−0.245620 + 0.969366i \(0.578992\pi\)
\(618\) −2.24433 + 6.33063i −0.0902800 + 0.254655i
\(619\) 14.7072 + 8.49123i 0.591134 + 0.341291i 0.765546 0.643381i \(-0.222469\pi\)
−0.174412 + 0.984673i \(0.555802\pi\)
\(620\) 17.0888i 0.686302i
\(621\) 9.95800 18.2938i 0.399601 0.734105i
\(622\) 18.1071i 0.726029i
\(623\) −29.6057 20.8733i −1.18613 0.836271i
\(624\) −1.99837 0.708458i −0.0799986 0.0283610i
\(625\) 0.812855 + 1.40791i 0.0325142 + 0.0563162i
\(626\) 12.6724 + 21.9492i 0.506489 + 0.877265i
\(627\) 16.3285 + 19.1319i 0.652096 + 0.764056i
\(628\) 26.8922 + 15.5262i 1.07312 + 0.619564i
\(629\) 0.260959 0.0104051
\(630\) −24.9392 + 7.04476i −0.993601 + 0.280670i
\(631\) 26.2438 1.04475 0.522374 0.852716i \(-0.325047\pi\)
0.522374 + 0.852716i \(0.325047\pi\)
\(632\) 8.52859 + 4.92398i 0.339249 + 0.195866i
\(633\) 44.0953 8.15637i 1.75263 0.324186i
\(634\) 26.4669 + 45.8420i 1.05113 + 1.82062i
\(635\) 4.42354 + 7.66179i 0.175543 + 0.304049i
\(636\) 7.03115 + 38.0121i 0.278803 + 1.50728i
\(637\) −27.3009 23.2111i −1.08170 0.919656i
\(638\) 8.74619i 0.346265i
\(639\) −7.22489 + 8.90904i −0.285812 + 0.352436i
\(640\) 25.4813i 1.00724i
\(641\) 16.5092 + 9.53157i 0.652073 + 0.376474i 0.789250 0.614072i \(-0.210470\pi\)
−0.137177 + 0.990547i \(0.543803\pi\)
\(642\) 12.6337 + 14.8028i 0.498612 + 0.584220i
\(643\) 15.3447 8.85928i 0.605136 0.349376i −0.165923 0.986139i \(-0.553060\pi\)
0.771060 + 0.636763i \(0.219727\pi\)
\(644\) 14.1624 + 30.6299i 0.558077 + 1.20699i
\(645\) 6.34733 17.9041i 0.249926 0.704973i
\(646\) 5.57605 9.65801i 0.219387 0.379989i
\(647\) −21.7902 −0.856661 −0.428330 0.903622i \(-0.640898\pi\)
−0.428330 + 0.903622i \(0.640898\pi\)
\(648\) 23.6930 5.00091i 0.930750 0.196454i
\(649\) 30.6365i 1.20259i
\(650\) 17.1467 29.6990i 0.672549 1.16489i
\(651\) −7.17177 + 15.5884i −0.281084 + 0.610956i
\(652\) −11.4955 19.9108i −0.450198 0.779766i
\(653\) −13.0852 + 7.55475i −0.512064 + 0.295640i −0.733682 0.679493i \(-0.762200\pi\)
0.221618 + 0.975134i \(0.428866\pi\)
\(654\) 24.4076 20.8311i 0.954413 0.814559i
\(655\) 5.92558 10.2634i 0.231532 0.401024i
\(656\) −1.77726 −0.0693903
\(657\) −13.8145 + 17.0347i −0.538954 + 0.664586i
\(658\) −25.3171 2.29757i −0.986964 0.0895685i
\(659\) −27.1850 15.6952i −1.05898 0.611400i −0.133827 0.991005i \(-0.542727\pi\)
−0.925149 + 0.379605i \(0.876060\pi\)
\(660\) −4.65103 25.1446i −0.181041 0.978752i
\(661\) −37.8554 + 21.8558i −1.47240 + 0.850093i −0.999518 0.0310314i \(-0.990121\pi\)
−0.472885 + 0.881124i \(0.656787\pi\)
\(662\) −37.7707 + 21.8069i −1.46800 + 0.847551i
\(663\) 1.75999 + 9.51495i 0.0683524 + 0.369530i
\(664\) −25.4095 14.6702i −0.986078 0.569312i
\(665\) 16.9654 + 1.53964i 0.657890 + 0.0597046i
\(666\) −0.584135 1.52496i −0.0226348 0.0590912i
\(667\) 4.76088 0.184342
\(668\) −27.5371 + 47.6957i −1.06544 + 1.84540i
\(669\) 23.5534 20.1020i 0.910625 0.777188i
\(670\) −1.86673 + 1.07776i −0.0721181 + 0.0416374i
\(671\) 5.28096 + 9.14690i 0.203869 + 0.353112i
\(672\) 11.3492 24.6684i 0.437806 0.951603i
\(673\) −4.60589 + 7.97763i −0.177544 + 0.307515i −0.941039 0.338299i \(-0.890149\pi\)
0.763495 + 0.645814i \(0.223482\pi\)
\(674\) 65.0051i 2.50390i
\(675\) −0.383978 15.2865i −0.0147793 0.588378i
\(676\) 42.0208 1.61618
\(677\) −11.4194 + 19.7789i −0.438882 + 0.760165i −0.997604 0.0691899i \(-0.977959\pi\)
0.558722 + 0.829355i \(0.311292\pi\)
\(678\) −5.16775 + 14.5768i −0.198466 + 0.559819i
\(679\) −3.45807 7.47898i −0.132709 0.287017i
\(680\) −3.64721 + 2.10571i −0.139864 + 0.0807505i
\(681\) 12.3317 + 14.4490i 0.472553 + 0.553687i
\(682\) −23.8792 13.7867i −0.914383 0.527919i
\(683\) 34.1826i 1.30796i 0.756511 + 0.653981i \(0.226902\pi\)
−0.756511 + 0.653981i \(0.773098\pi\)
\(684\) −42.3199 6.73367i −1.61814 0.257468i
\(685\) 14.8421i 0.567088i
\(686\) 30.0992 29.5202i 1.14919 1.12709i
\(687\) 6.12408 + 33.1082i 0.233648 + 1.26316i
\(688\) 0.914230 + 1.58349i 0.0348547 + 0.0603701i
\(689\) 17.9533 + 31.0961i 0.683967 + 1.18467i
\(690\) 22.2902 4.12304i 0.848572 0.156961i
\(691\) −0.224082 0.129374i −0.00852446 0.00492160i 0.495732 0.868476i \(-0.334900\pi\)
−0.504256 + 0.863554i \(0.668233\pi\)
\(692\) −6.22453 −0.236621
\(693\) 6.30995 24.8888i 0.239695 0.945448i
\(694\) −6.74720 −0.256120
\(695\) −22.1725 12.8013i −0.841052 0.485582i
\(696\) 3.59318 + 4.21010i 0.136199 + 0.159583i
\(697\) 4.05555 + 7.02441i 0.153615 + 0.266069i
\(698\) −30.7389 53.2413i −1.16348 2.01521i
\(699\) −4.80005 1.70171i −0.181555 0.0643645i
\(700\) 20.2480 + 14.2757i 0.765302 + 0.539571i
\(701\) 5.16189i 0.194962i 0.995237 + 0.0974810i \(0.0310785\pi\)
−0.995237 + 0.0974810i \(0.968921\pi\)
\(702\) 51.6628 31.5833i 1.94989 1.19203i
\(703\) 1.07345i 0.0404860i
\(704\) 36.4487 + 21.0437i 1.37371 + 0.793113i
\(705\) −3.50371 + 9.88299i −0.131957 + 0.372215i
\(706\) 58.4475 33.7447i 2.19970 1.27000i
\(707\) −17.0251 + 7.87192i −0.640293 + 0.296054i
\(708\) −33.8840 39.7016i −1.27344 1.49208i
\(709\) −11.7472 + 20.3468i −0.441175 + 0.764138i −0.997777 0.0666412i \(-0.978772\pi\)
0.556602 + 0.830780i \(0.312105\pi\)
\(710\) −12.4836 −0.468501
\(711\) 10.2540 3.92779i 0.384557 0.147304i
\(712\) 36.8377i 1.38055i
\(713\) 7.50460 12.9984i 0.281050 0.486792i
\(714\) −11.3357 + 1.05042i −0.424229 + 0.0393109i
\(715\) −11.8759 20.5697i −0.444134 0.769263i
\(716\) −63.9357 + 36.9133i −2.38939 + 1.37952i
\(717\) −3.90162 21.0931i −0.145709 0.787736i
\(718\) −28.0293 + 48.5481i −1.04604 + 1.81180i
\(719\) −10.1566 −0.378776 −0.189388 0.981902i \(-0.560650\pi\)
−0.189388 + 0.981902i \(0.560650\pi\)
\(720\) −0.799156 0.648085i −0.0297828 0.0241527i
\(721\) −4.48865 0.407352i −0.167166 0.0151706i
\(722\) 2.27128 + 1.31132i 0.0845283 + 0.0488024i
\(723\) 17.7902 15.1833i 0.661623 0.564673i
\(724\) −28.3126 + 16.3463i −1.05223 + 0.607504i
\(725\) 3.02696 1.74761i 0.112418 0.0649047i
\(726\) −1.98975 0.705404i −0.0738466 0.0261800i
\(727\) −5.74874 3.31904i −0.213209 0.123096i 0.389593 0.920987i \(-0.372616\pi\)
−0.602802 + 0.797891i \(0.705949\pi\)
\(728\) −3.29356 + 36.2920i −0.122067 + 1.34507i
\(729\) 12.3090 24.0310i 0.455890 0.890036i
\(730\) −23.8695 −0.883449
\(731\) 4.17238 7.22678i 0.154321 0.267292i
\(732\) −16.9601 6.01266i −0.626862 0.222234i
\(733\) 5.20130 3.00297i 0.192114 0.110917i −0.400858 0.916140i \(-0.631288\pi\)
0.592972 + 0.805223i \(0.297954\pi\)
\(734\) −6.38209 11.0541i −0.235567 0.408014i
\(735\) −8.72346 15.0435i −0.321770 0.554888i
\(736\) −11.8759 + 20.5697i −0.437752 + 0.758209i
\(737\) 2.13565i 0.0786676i
\(738\) 31.9705 39.4229i 1.17685 1.45118i
\(739\) −15.6386 −0.575275 −0.287638 0.957739i \(-0.592870\pi\)
−0.287638 + 0.957739i \(0.592870\pi\)
\(740\) 0.545658 0.945107i 0.0200588 0.0347428i
\(741\) −39.1396 + 7.23970i −1.43783 + 0.265957i
\(742\) −38.3441 + 17.7292i −1.40765 + 0.650861i
\(743\) 27.3807 15.8083i 1.00450 0.579949i 0.0949246 0.995484i \(-0.469739\pi\)
0.909577 + 0.415535i \(0.136406\pi\)
\(744\) 17.1586 3.17384i 0.629063 0.116359i
\(745\) −21.7664 12.5669i −0.797461 0.460414i
\(746\) 8.49897i 0.311169i
\(747\) −30.5501 + 11.7022i −1.11777 + 0.428160i
\(748\) 11.2332i 0.410727i
\(749\) −7.52490 + 10.6730i −0.274954 + 0.389982i
\(750\) 34.1661 29.1596i 1.24757 1.06476i
\(751\) 7.13680 + 12.3613i 0.260426 + 0.451070i 0.966355 0.257212i \(-0.0828038\pi\)
−0.705929 + 0.708282i \(0.749470\pi\)
\(752\) −0.504652 0.874082i −0.0184028 0.0318745i
\(753\) 4.34897 12.2673i 0.158485 0.447043i
\(754\) 11.9864 + 6.92036i 0.436519 + 0.252025i
\(755\) −1.57870 −0.0574548
\(756\) 19.3500 + 39.2321i 0.703754 + 1.42686i
\(757\) −10.8227 −0.393358 −0.196679 0.980468i \(-0.563016\pi\)
−0.196679 + 0.980468i \(0.563016\pi\)
\(758\) 60.0134 + 34.6488i 2.17979 + 1.25850i
\(759\) −7.50460 + 21.1684i −0.272400 + 0.768365i
\(760\) −8.66182 15.0027i −0.314197 0.544206i
\(761\) 2.93098 + 5.07660i 0.106248 + 0.184027i 0.914247 0.405157i \(-0.132783\pi\)
−0.808000 + 0.589183i \(0.799450\pi\)
\(762\) 18.4990 15.7882i 0.670147 0.571948i
\(763\) 17.5981 + 12.4074i 0.637095 + 0.449180i
\(764\) 72.2926i 2.61546i
\(765\) −0.737879 + 4.63744i −0.0266781 + 0.167667i
\(766\) 38.6645i 1.39701i
\(767\) −41.9865 24.2409i −1.51604 0.875288i
\(768\) −24.5614 + 4.54315i −0.886282 + 0.163937i
\(769\) 27.5683 15.9166i 0.994140 0.573967i 0.0876307 0.996153i \(-0.472070\pi\)
0.906509 + 0.422186i \(0.138737\pi\)
\(770\) 25.3642 11.7277i 0.914061 0.422637i
\(771\) 13.2093 2.44334i 0.475721 0.0879947i
\(772\) 26.8428 46.4931i 0.966094 1.67332i
\(773\) 19.0382 0.684755 0.342378 0.939562i \(-0.388768\pi\)
0.342378 + 0.939562i \(0.388768\pi\)
\(774\) −51.5706 8.20557i −1.85367 0.294943i
\(775\) 11.0191i 0.395818i
\(776\) −4.18965 + 7.25668i −0.150400 + 0.260500i
\(777\) 0.894389 0.633125i 0.0320860 0.0227132i
\(778\) −12.3977 21.4734i −0.444478 0.769859i
\(779\) −28.8948 + 16.6824i −1.03526 + 0.597710i
\(780\) 38.1401 + 13.5214i 1.36563 + 0.484143i
\(781\) 6.18427 10.7115i 0.221290 0.383286i
\(782\) 9.95800 0.356097
\(783\) 6.16959 0.154972i 0.220483 0.00553826i
\(784\) 1.64652 + 0.301330i 0.0588042 + 0.0107618i
\(785\) 12.1219 + 6.99857i 0.432649 + 0.249790i
\(786\) −30.7060 10.8859i −1.09525 0.388286i
\(787\) −16.4123 + 9.47564i −0.585035 + 0.337770i −0.763132 0.646243i \(-0.776339\pi\)
0.178097 + 0.984013i \(0.443006\pi\)
\(788\) 24.6472 14.2301i 0.878020 0.506925i
\(789\) 18.4268 15.7266i 0.656010 0.559883i
\(790\) 10.3494 + 5.97525i 0.368216 + 0.212590i
\(791\) −10.3355 0.937963i −0.367488 0.0333501i
\(792\) −24.3834 + 9.34004i −0.866428 + 0.331884i
\(793\) −16.7141 −0.593535
\(794\) −25.3857 + 43.9693i −0.900905 + 1.56041i
\(795\) 3.16935 + 17.1343i 0.112405 + 0.607690i
\(796\) −15.9422 + 9.20422i −0.565055 + 0.326235i
\(797\) −26.7207 46.2816i −0.946497 1.63938i −0.752727 0.658333i \(-0.771262\pi\)
−0.193770 0.981047i \(-0.562071\pi\)
\(798\) −4.32088 46.6294i −0.152958 1.65066i
\(799\) −2.30314 + 3.98916i −0.0814792 + 0.141126i
\(800\) 17.4376i 0.616511i
\(801\) 31.9024 + 25.8716i 1.12722 + 0.914129i
\(802\) −54.8194 −1.93574
\(803\) 11.8247 20.4810i 0.417286 0.722760i
\(804\) 2.36203 + 2.76757i 0.0833024 + 0.0976048i
\(805\) 6.38383 + 13.8067i 0.225000 + 0.486621i
\(806\) 37.7885 21.8172i 1.33104 0.768479i
\(807\) −14.9503 + 42.1708i −0.526277 + 1.48448i
\(808\) 16.5190 + 9.53727i 0.581137 + 0.335520i
\(809\) 2.58095i 0.0907413i −0.998970 0.0453706i \(-0.985553\pi\)
0.998970 0.0453706i \(-0.0144469\pi\)
\(810\) 28.7515 6.06860i 1.01022 0.213229i
\(811\) 6.06938i 0.213125i 0.994306 + 0.106562i \(0.0339844\pi\)
−0.994306 + 0.106562i \(0.966016\pi\)
\(812\) −5.76163 + 8.17203i −0.202194 + 0.286782i
\(813\) 27.1871 + 9.63835i 0.953495 + 0.338032i
\(814\) 0.880438 + 1.52496i 0.0308593 + 0.0534500i
\(815\) −5.18169 8.97494i −0.181507 0.314379i
\(816\) −0.293425 0.343803i −0.0102719 0.0120355i
\(817\) 29.7272 + 17.1630i 1.04002 + 0.600458i
\(818\) 59.9811 2.09719
\(819\) 29.1167 + 28.3407i 1.01742 + 0.990304i
\(820\) 33.9201 1.18454
\(821\) 8.03938 + 4.64154i 0.280576 + 0.161991i 0.633684 0.773592i \(-0.281542\pi\)
−0.353108 + 0.935583i \(0.614875\pi\)
\(822\) −40.1200 + 7.42106i −1.39935 + 0.258839i
\(823\) −9.03448 15.6482i −0.314922 0.545461i 0.664499 0.747289i \(-0.268645\pi\)
−0.979421 + 0.201828i \(0.935312\pi\)
\(824\) 2.29172 + 3.96937i 0.0798357 + 0.138280i
\(825\) 2.99905 + 16.2136i 0.104414 + 0.564486i
\(826\) 32.8674 46.6176i 1.14360 1.62203i
\(827\) 48.5440i 1.68804i −0.536310 0.844021i \(-0.680182\pi\)
0.536310 0.844021i \(-0.319818\pi\)
\(828\) −13.6871 35.7321i −0.475661 1.24178i
\(829\) 5.44792i 0.189214i −0.995515 0.0946071i \(-0.969841\pi\)
0.995515 0.0946071i \(-0.0301595\pi\)
\(830\) −30.8344 17.8022i −1.07028 0.617924i
\(831\) −35.3163 41.3798i −1.22511 1.43545i
\(832\) −57.6796 + 33.3013i −1.99968 + 1.15452i
\(833\) −2.56623 7.19527i −0.0889147 0.249302i
\(834\) −23.5172 + 66.3357i −0.814335 + 2.29702i
\(835\) −12.4126 + 21.4992i −0.429556 + 0.744012i
\(836\) 46.2076 1.59812
\(837\) 9.30206 17.0888i 0.321526 0.590675i
\(838\) 73.6460i 2.54406i
\(839\) −24.2673 + 42.0322i −0.837801 + 1.45111i 0.0539281 + 0.998545i \(0.482826\pi\)
−0.891729 + 0.452569i \(0.850508\pi\)
\(840\) −7.39134 + 16.0656i −0.255025 + 0.554316i
\(841\) −13.7947 23.8931i −0.475678 0.823899i
\(842\) 21.8727 12.6282i 0.753781 0.435196i
\(843\) −12.3294 + 10.5227i −0.424646 + 0.362421i
\(844\) 41.1907 71.3444i 1.41784 2.45578i
\(845\) 18.9412 0.651598
\(846\) 28.4668 + 4.52945i 0.978708 + 0.155726i
\(847\) 0.128033 1.41081i 0.00439926 0.0484759i
\(848\) −1.45254 0.838622i −0.0498803 0.0287984i
\(849\) 4.96922 + 26.8648i 0.170543 + 0.921998i
\(850\) 6.33127 3.65536i 0.217161 0.125378i
\(851\) −0.830095 + 0.479256i −0.0284553 + 0.0164287i
\(852\) 3.83274 + 20.7207i 0.131308 + 0.709881i
\(853\) −10.7703 6.21823i −0.368768 0.212908i 0.304152 0.952623i \(-0.401627\pi\)
−0.672920 + 0.739715i \(0.734960\pi\)
\(854\) 1.77726 19.5838i 0.0608165 0.670144i
\(855\) −19.0761 3.03526i −0.652387 0.103804i
\(856\) 13.2801 0.453906
\(857\) 5.29077 9.16388i 0.180729 0.313032i −0.761400 0.648283i \(-0.775488\pi\)
0.942129 + 0.335250i \(0.108821\pi\)
\(858\) −49.6644 + 42.3869i −1.69552 + 1.44707i
\(859\) −28.1452 + 16.2496i −0.960302 + 0.554431i −0.896266 0.443517i \(-0.853731\pi\)
−0.0640360 + 0.997948i \(0.520397\pi\)
\(860\) −17.4487 30.2220i −0.594995 1.03056i
\(861\) 30.9419 + 14.2355i 1.05450 + 0.485145i
\(862\) −18.5579 + 32.1432i −0.632084 + 1.09480i
\(863\) 25.2203i 0.858510i −0.903183 0.429255i \(-0.858776\pi\)
0.903183 0.429255i \(-0.141224\pi\)
\(864\) −14.7204 + 27.0427i −0.500797 + 0.920013i
\(865\) −2.80576 −0.0953987
\(866\) −14.2683 + 24.7135i −0.484857 + 0.839797i
\(867\) 9.14949 25.8082i 0.310733 0.876492i
\(868\) 13.2295 + 28.6123i 0.449040 + 0.971164i
\(869\) −10.2540 + 5.92017i −0.347844 + 0.200828i
\(870\) 4.36032 + 5.10896i 0.147829 + 0.173210i
\(871\) 2.92685 + 1.68982i 0.0991724 + 0.0572572i
\(872\) 21.8970i 0.741525i
\(873\) 3.34203 + 8.72481i 0.113110 + 0.295290i
\(874\) 40.9621i 1.38556i
\(875\) 24.6341 + 17.3681i 0.832784 + 0.587149i
\(876\) 7.32846 + 39.6194i 0.247606 + 1.33862i
\(877\) 7.47893 + 12.9539i 0.252546 + 0.437422i 0.964226 0.265082i \(-0.0853989\pi\)
−0.711680 + 0.702503i \(0.752066\pi\)
\(878\) −21.1961 36.7127i −0.715333 1.23899i
\(879\) 42.3360 7.83094i 1.42796 0.264131i
\(880\) 0.960836 + 0.554739i 0.0323898 + 0.0187003i
\(881\) −36.4482 −1.22797 −0.613985 0.789318i \(-0.710434\pi\)
−0.613985 + 0.789318i \(0.710434\pi\)
\(882\) −36.3027 + 31.1023i −1.22237 + 1.04727i
\(883\) 15.9831 0.537873 0.268936 0.963158i \(-0.413328\pi\)
0.268936 + 0.963158i \(0.413328\pi\)
\(884\) 15.3948 + 8.88819i 0.517783 + 0.298942i
\(885\) −15.2735 17.8958i −0.513413 0.601562i
\(886\) −5.40739 9.36588i −0.181665 0.314653i
\(887\) 24.5208 + 42.4713i 0.823329 + 1.42605i 0.903190 + 0.429241i \(0.141219\pi\)
−0.0798613 + 0.996806i \(0.525448\pi\)
\(888\) −1.05031 0.372354i −0.0352461 0.0124954i
\(889\) 13.3380 + 9.40383i 0.447341 + 0.315394i
\(890\) 44.7026i 1.49843i
\(891\) −9.03611 + 27.6763i −0.302721 + 0.927192i
\(892\) 56.8862i 1.90469i
\(893\) −16.4093 9.47393i −0.549117 0.317033i
\(894\) −23.0865 + 65.1208i −0.772129 + 2.17796i
\(895\) −28.8196 + 16.6390i −0.963332 + 0.556180i
\(896\) −19.7267 42.6641i −0.659023 1.42531i
\(897\) −23.0728 27.0342i −0.770378 0.902646i
\(898\) −18.4834 + 32.0143i −0.616801 + 1.06833i
\(899\) 4.44728 0.148325
\(900\) −21.8187 17.6942i −0.727292 0.589806i
\(901\) 7.65464i 0.255013i
\(902\) −27.3657 + 47.3987i −0.911177 + 1.57820i
\(903\) −3.23318 34.8913i −0.107593 1.16111i
\(904\) 5.27687 + 9.13981i 0.175506 + 0.303986i
\(905\) −12.7621 + 7.36821i −0.424227 + 0.244928i
\(906\) 0.789351 + 4.26742i 0.0262244 + 0.141776i
\(907\) 2.42915 4.20741i 0.0806585 0.139705i −0.822874 0.568223i \(-0.807631\pi\)
0.903533 + 0.428519i \(0.140964\pi\)
\(908\) 34.8973 1.15811
\(909\) 19.8611 7.60775i 0.658750 0.252333i
\(910\) −3.99673 + 44.0404i −0.132490 + 1.45992i
\(911\) 14.4945 + 8.36843i 0.480226 + 0.277258i 0.720510 0.693444i \(-0.243908\pi\)
−0.240285 + 0.970702i \(0.577241\pi\)
\(912\) 1.41423 1.20700i 0.0468298 0.0399677i
\(913\) 30.5501 17.6381i 1.01106 0.583737i
\(914\) −11.3301 + 6.54143i −0.374766 + 0.216371i
\(915\) −7.64489 2.71026i −0.252732 0.0895983i
\(916\) 53.5678 + 30.9274i 1.76993 + 1.02187i
\(917\) 1.97582 21.7717i 0.0652472 0.718965i
\(918\) 12.9045 0.324145i 0.425912 0.0106984i
\(919\) 30.6400 1.01072 0.505360 0.862909i \(-0.331360\pi\)
0.505360 + 0.862909i \(0.331360\pi\)
\(920\) 7.73436 13.3963i 0.254994 0.441663i
\(921\) −30.8344 10.9314i −1.01603 0.360200i
\(922\) 71.5015 41.2814i 2.35478 1.35953i
\(923\) 9.78651 + 16.9507i 0.322127 + 0.557940i
\(924\) −27.2534 38.4997i −0.896572 1.26655i
\(925\) −0.351848 + 0.609419i −0.0115687 + 0.0200376i
\(926\) 66.5627i 2.18739i
\(927\) 5.04708 + 0.803057i 0.165768 + 0.0263759i
\(928\) −7.03775 −0.231025
\(929\) 14.8723 25.7595i 0.487943 0.845142i −0.511961 0.859009i \(-0.671081\pi\)
0.999904 + 0.0138670i \(0.00441415\pi\)
\(930\) 20.8219 3.85145i 0.682777 0.126294i
\(931\) 29.5976 10.5562i 0.970024 0.345964i
\(932\) −8.10245 + 4.67795i −0.265405 + 0.153231i
\(933\) 13.5475 2.50589i 0.443524 0.0820393i
\(934\) 5.20876 + 3.00728i 0.170436 + 0.0984011i
\(935\) 5.06346i 0.165593i
\(936\) 6.49295 40.8071i 0.212229 1.33382i
\(937\) 4.03712i 0.131887i 0.997823 + 0.0659434i \(0.0210057\pi\)
−0.997823 + 0.0659434i \(0.978994\pi\)
\(938\) −2.29117 + 3.24968i −0.0748092 + 0.106106i
\(939\) 14.6683 12.5189i 0.478681 0.408538i
\(940\) 9.63160 + 16.6824i 0.314148 + 0.544121i
\(941\) 7.20264 + 12.4753i 0.234799 + 0.406684i 0.959214 0.282680i \(-0.0912234\pi\)
−0.724415 + 0.689364i \(0.757890\pi\)
\(942\) 12.8571 36.2662i 0.418905 1.18162i
\(943\) −25.8009 14.8962i −0.840193 0.485085i
\(944\) 2.26464 0.0737079
\(945\) 8.72219 + 17.6842i 0.283733 + 0.575267i
\(946\) 56.3081 1.83073
\(947\) 27.0334 + 15.6077i 0.878467 + 0.507183i 0.870153 0.492782i \(-0.164020\pi\)
0.00831468 + 0.999965i \(0.497353\pi\)
\(948\) 6.74043 19.0129i 0.218919 0.617511i
\(949\) 18.7125 + 32.4109i 0.607432 + 1.05210i
\(950\) 15.0363 + 26.0436i 0.487841 + 0.844966i
\(951\) 30.6355 26.1463i 0.993423 0.847853i
\(952\) −4.47646 + 6.34920i −0.145083 + 0.205779i
\(953\) 8.55869i 0.277243i 0.990345 + 0.138622i \(0.0442672\pi\)
−0.990345 + 0.138622i \(0.955733\pi\)
\(954\) 44.7313 17.1343i 1.44823 0.554743i
\(955\) 32.5865i 1.05447i
\(956\) −34.1278 19.7037i −1.10377 0.637263i
\(957\) −6.54377 + 1.21041i −0.211530 + 0.0391270i
\(958\) −61.2751 + 35.3772i −1.97971 + 1.14298i
\(959\) −11.4902 24.8506i −0.371039 0.802468i
\(960\) −31.7821 + 5.87877i −1.02576 + 0.189737i
\(961\) −8.48973 + 14.7046i −0.273862 + 0.474343i
\(962\) −2.78656 −0.0898424
\(963\) 9.32683 11.5009i 0.300553 0.370613i
\(964\) 42.9669i 1.38387i
\(965\) 12.0996 20.9572i 0.389501 0.674635i
\(966\) 34.1292 24.1596i 1.09809 0.777322i
\(967\) 16.0280 + 27.7614i 0.515427 + 0.892745i 0.999840 + 0.0179059i \(0.00569994\pi\)
−0.484413 + 0.874840i \(0.660967\pi\)
\(968\) −1.24759 + 0.720299i −0.0400992 + 0.0231513i
\(969\) −7.99766 2.83532i −0.256922 0.0910837i
\(970\) −5.08414 + 8.80598i −0.163242 + 0.282743i
\(971\) 33.2366 1.06661 0.533307 0.845922i \(-0.320949\pi\)
0.533307 + 0.845922i \(0.320949\pi\)
\(972\) −18.9002 45.8596i −0.606225 1.47095i
\(973\) −47.0345 4.26845i −1.50786 0.136840i
\(974\) −68.7469 39.6911i −2.20279 1.27178i
\(975\) −24.5933 8.71878i −0.787616 0.279225i
\(976\) 0.676137 0.390368i 0.0216426 0.0124954i
\(977\) 45.1558 26.0707i 1.44466 0.834076i 0.446507 0.894780i \(-0.352668\pi\)
0.998156 + 0.0607042i \(0.0193346\pi\)
\(978\) −21.6695 + 18.4942i −0.692915 + 0.591379i
\(979\) −38.3567 22.1453i −1.22589 0.707765i
\(980\) −31.4248 5.75107i −1.00383 0.183711i
\(981\) −18.9633 15.3785i −0.605453 0.490999i
\(982\) 59.6044 1.90205
\(983\) −12.1192 + 20.9911i −0.386544 + 0.669513i −0.991982 0.126379i \(-0.959664\pi\)
0.605438 + 0.795892i \(0.292998\pi\)
\(984\) −6.29987 34.0586i −0.200833 1.08575i
\(985\) 11.1099 6.41432i 0.353992 0.204377i
\(986\) 1.47529 + 2.55528i 0.0469829 + 0.0813768i
\(987\) 1.78470 + 19.2598i 0.0568077 + 0.613048i
\(988\) −36.5614 + 63.3263i −1.16317 + 2.01468i
\(989\) 30.6506i 0.974632i
\(990\) −29.5893 + 11.3341i −0.940410 + 0.360222i
\(991\) −24.1981 −0.768678 −0.384339 0.923192i \(-0.625571\pi\)
−0.384339 + 0.923192i \(0.625571\pi\)
\(992\) −11.0937 + 19.2148i −0.352224 + 0.610070i
\(993\) 21.5428 + 25.2416i 0.683641 + 0.801017i
\(994\) −20.9017 + 9.66437i −0.662961 + 0.306535i
\(995\) −7.18607 + 4.14888i −0.227814 + 0.131528i
\(996\) −20.0819 + 56.6457i −0.636321 + 1.79489i
\(997\) 8.81920 + 5.09177i 0.279307 + 0.161258i 0.633110 0.774062i \(-0.281778\pi\)
−0.353803 + 0.935320i \(0.615112\pi\)
\(998\) 28.4053i 0.899155i
\(999\) −1.06012 + 0.648085i −0.0335406 + 0.0205045i
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 63.2.o.a.20.1 12
3.2 odd 2 189.2.o.a.62.5 12
4.3 odd 2 1008.2.cc.a.209.5 12
7.2 even 3 441.2.i.c.227.5 12
7.3 odd 6 441.2.s.c.362.5 12
7.4 even 3 441.2.s.c.362.6 12
7.5 odd 6 441.2.i.c.227.6 12
7.6 odd 2 inner 63.2.o.a.20.2 yes 12
9.2 odd 6 567.2.c.c.566.2 12
9.4 even 3 189.2.o.a.125.6 12
9.5 odd 6 inner 63.2.o.a.41.2 yes 12
9.7 even 3 567.2.c.c.566.11 12
12.11 even 2 3024.2.cc.a.2897.3 12
21.2 odd 6 1323.2.i.c.521.1 12
21.5 even 6 1323.2.i.c.521.2 12
21.11 odd 6 1323.2.s.c.656.2 12
21.17 even 6 1323.2.s.c.656.1 12
21.20 even 2 189.2.o.a.62.6 12
28.27 even 2 1008.2.cc.a.209.2 12
36.23 even 6 1008.2.cc.a.545.2 12
36.31 odd 6 3024.2.cc.a.881.4 12
63.4 even 3 1323.2.i.c.1097.6 12
63.5 even 6 441.2.s.c.374.6 12
63.13 odd 6 189.2.o.a.125.5 12
63.20 even 6 567.2.c.c.566.1 12
63.23 odd 6 441.2.s.c.374.5 12
63.31 odd 6 1323.2.i.c.1097.5 12
63.32 odd 6 441.2.i.c.68.2 12
63.34 odd 6 567.2.c.c.566.12 12
63.40 odd 6 1323.2.s.c.962.2 12
63.41 even 6 inner 63.2.o.a.41.1 yes 12
63.58 even 3 1323.2.s.c.962.1 12
63.59 even 6 441.2.i.c.68.1 12
84.83 odd 2 3024.2.cc.a.2897.4 12
252.139 even 6 3024.2.cc.a.881.3 12
252.167 odd 6 1008.2.cc.a.545.5 12
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
63.2.o.a.20.1 12 1.1 even 1 trivial
63.2.o.a.20.2 yes 12 7.6 odd 2 inner
63.2.o.a.41.1 yes 12 63.41 even 6 inner
63.2.o.a.41.2 yes 12 9.5 odd 6 inner
189.2.o.a.62.5 12 3.2 odd 2
189.2.o.a.62.6 12 21.20 even 2
189.2.o.a.125.5 12 63.13 odd 6
189.2.o.a.125.6 12 9.4 even 3
441.2.i.c.68.1 12 63.59 even 6
441.2.i.c.68.2 12 63.32 odd 6
441.2.i.c.227.5 12 7.2 even 3
441.2.i.c.227.6 12 7.5 odd 6
441.2.s.c.362.5 12 7.3 odd 6
441.2.s.c.362.6 12 7.4 even 3
441.2.s.c.374.5 12 63.23 odd 6
441.2.s.c.374.6 12 63.5 even 6
567.2.c.c.566.1 12 63.20 even 6
567.2.c.c.566.2 12 9.2 odd 6
567.2.c.c.566.11 12 9.7 even 3
567.2.c.c.566.12 12 63.34 odd 6
1008.2.cc.a.209.2 12 28.27 even 2
1008.2.cc.a.209.5 12 4.3 odd 2
1008.2.cc.a.545.2 12 36.23 even 6
1008.2.cc.a.545.5 12 252.167 odd 6
1323.2.i.c.521.1 12 21.2 odd 6
1323.2.i.c.521.2 12 21.5 even 6
1323.2.i.c.1097.5 12 63.31 odd 6
1323.2.i.c.1097.6 12 63.4 even 3
1323.2.s.c.656.1 12 21.17 even 6
1323.2.s.c.656.2 12 21.11 odd 6
1323.2.s.c.962.1 12 63.58 even 3
1323.2.s.c.962.2 12 63.40 odd 6
3024.2.cc.a.881.3 12 252.139 even 6
3024.2.cc.a.881.4 12 36.31 odd 6
3024.2.cc.a.2897.3 12 12.11 even 2
3024.2.cc.a.2897.4 12 84.83 odd 2