Properties

Label 273.2.br.b.17.17
Level $273$
Weight $2$
Character 273.17
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
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] = [273,2,Mod(17,273)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(273, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 1, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("273.17");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.br (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: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 17.17
Character \(\chi\) \(=\) 273.17
Dual form 273.2.br.b.257.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+0.0763024 q^{2} +(1.65933 + 0.496625i) q^{3} -1.99418 q^{4} +(-3.58354 + 2.06896i) q^{5} +(0.126611 + 0.0378937i) q^{6} +(-2.41424 - 1.08232i) q^{7} -0.304765 q^{8} +(2.50673 + 1.64813i) q^{9} +O(q^{10})\) \(q+0.0763024 q^{2} +(1.65933 + 0.496625i) q^{3} -1.99418 q^{4} +(-3.58354 + 2.06896i) q^{5} +(0.126611 + 0.0378937i) q^{6} +(-2.41424 - 1.08232i) q^{7} -0.304765 q^{8} +(2.50673 + 1.64813i) q^{9} +(-0.273433 + 0.157867i) q^{10} +(-0.0185449 - 0.0321206i) q^{11} +(-3.30899 - 0.990360i) q^{12} +(-2.92881 + 2.10287i) q^{13} +(-0.184213 - 0.0825839i) q^{14} +(-6.97376 + 1.65340i) q^{15} +3.96510 q^{16} -3.31887 q^{17} +(0.191269 + 0.125756i) q^{18} +(-0.473870 + 0.820767i) q^{19} +(7.14622 - 4.12587i) q^{20} +(-3.46851 - 2.99490i) q^{21} +(-0.00141502 - 0.00245088i) q^{22} +6.77954i q^{23} +(-0.505705 - 0.151354i) q^{24} +(6.06118 - 10.4983i) q^{25} +(-0.223475 + 0.160454i) q^{26} +(3.34097 + 3.97968i) q^{27} +(4.81443 + 2.15835i) q^{28} +(2.57400 + 1.48610i) q^{29} +(-0.532115 + 0.126158i) q^{30} +(3.10288 - 5.37435i) q^{31} +0.912078 q^{32} +(-0.0148200 - 0.0625084i) q^{33} -0.253238 q^{34} +(10.8908 - 1.11642i) q^{35} +(-4.99886 - 3.28666i) q^{36} +5.88883i q^{37} +(-0.0361574 + 0.0626265i) q^{38} +(-5.90419 + 2.03483i) q^{39} +(1.09214 - 0.630547i) q^{40} +(-8.34651 - 4.81886i) q^{41} +(-0.264656 - 0.228518i) q^{42} +(3.55641 + 6.15988i) q^{43} +(0.0369817 + 0.0640542i) q^{44} +(-12.3929 - 0.719819i) q^{45} +0.517295i q^{46} +(-2.84334 + 1.64160i) q^{47} +(6.57940 + 1.96917i) q^{48} +(4.65715 + 5.22599i) q^{49} +(0.462483 - 0.801044i) q^{50} +(-5.50709 - 1.64824i) q^{51} +(5.84057 - 4.19351i) q^{52} +(-7.64979 - 4.41661i) q^{53} +(0.254924 + 0.303660i) q^{54} +(0.132913 + 0.0767371i) q^{55} +(0.735778 + 0.329855i) q^{56} +(-1.19392 + 1.12658i) q^{57} +(0.196403 + 0.113393i) q^{58} +2.73001i q^{59} +(13.9069 - 3.29717i) q^{60} +(2.19621 + 1.26798i) q^{61} +(0.236757 - 0.410076i) q^{62} +(-4.26804 - 6.69207i) q^{63} -7.86061 q^{64} +(6.14475 - 13.5953i) q^{65} +(-0.00113080 - 0.00476955i) q^{66} +(3.90180 - 2.25271i) q^{67} +6.61842 q^{68} +(-3.36689 + 11.2495i) q^{69} +(0.830997 - 0.0851854i) q^{70} +(1.17534 + 2.03574i) q^{71} +(-0.763964 - 0.502292i) q^{72} +(-3.31007 + 5.73321i) q^{73} +0.449332i q^{74} +(15.2712 - 14.4099i) q^{75} +(0.944981 - 1.63676i) q^{76} +(0.0100069 + 0.0976186i) q^{77} +(-0.450504 + 0.155263i) q^{78} +(-3.29565 - 5.70824i) q^{79} +(-14.2091 + 8.20363i) q^{80} +(3.56735 + 8.26281i) q^{81} +(-0.636859 - 0.367691i) q^{82} +0.309176i q^{83} +(6.91682 + 5.97237i) q^{84} +(11.8933 - 6.86661i) q^{85} +(0.271362 + 0.470013i) q^{86} +(3.53307 + 3.74424i) q^{87} +(0.00565183 + 0.00978926i) q^{88} +8.00037i q^{89} +(-0.945606 - 0.0549239i) q^{90} +(9.34685 - 1.90693i) q^{91} -13.5196i q^{92} +(7.81773 - 7.37683i) q^{93} +(-0.216954 + 0.125258i) q^{94} -3.92167i q^{95} +(1.51343 + 0.452961i) q^{96} +(-0.694937 - 1.20367i) q^{97} +(0.355352 + 0.398756i) q^{98} +(0.00645201 - 0.111082i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 6 q^{3} + 56 q^{4} - 6 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 6 q^{3} + 56 q^{4} - 6 q^{7} - 6 q^{10} - 6 q^{12} - 12 q^{13} - 9 q^{15} + 16 q^{16} - 36 q^{18} - 12 q^{21} - 18 q^{22} - 12 q^{24} + 16 q^{25} + 18 q^{28} - 22 q^{30} + 36 q^{31} - 15 q^{33} - 24 q^{34} - 4 q^{36} - 9 q^{39} - 54 q^{40} + 39 q^{42} - 12 q^{43} - 6 q^{45} - 54 q^{48} + 2 q^{49} - 14 q^{51} - 48 q^{52} + 18 q^{54} + 42 q^{55} + 30 q^{58} - 9 q^{60} + 6 q^{61} + 3 q^{63} - 28 q^{64} - 9 q^{66} + 48 q^{67} - 39 q^{69} - 84 q^{70} - 123 q^{72} - 12 q^{73} + 18 q^{76} - 11 q^{78} + 4 q^{79} - 66 q^{82} + 27 q^{84} - 30 q^{85} - 30 q^{88} + 130 q^{91} + 84 q^{94} - 24 q^{96} - 12 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0763024 0.0539540 0.0269770 0.999636i \(-0.491412\pi\)
0.0269770 + 0.999636i \(0.491412\pi\)
\(3\) 1.65933 + 0.496625i 0.958012 + 0.286727i
\(4\) −1.99418 −0.997089
\(5\) −3.58354 + 2.06896i −1.60261 + 0.925267i −0.611646 + 0.791132i \(0.709492\pi\)
−0.990963 + 0.134135i \(0.957175\pi\)
\(6\) 0.126611 + 0.0378937i 0.0516886 + 0.0154700i
\(7\) −2.41424 1.08232i −0.912499 0.409080i
\(8\) −0.304765 −0.107751
\(9\) 2.50673 + 1.64813i 0.835575 + 0.549376i
\(10\) −0.273433 + 0.157867i −0.0864671 + 0.0499218i
\(11\) −0.0185449 0.0321206i −0.00559148 0.00968473i 0.863216 0.504835i \(-0.168447\pi\)
−0.868808 + 0.495150i \(0.835113\pi\)
\(12\) −3.30899 0.990360i −0.955224 0.285892i
\(13\) −2.92881 + 2.10287i −0.812305 + 0.583232i
\(14\) −0.184213 0.0825839i −0.0492329 0.0220715i
\(15\) −6.97376 + 1.65340i −1.80062 + 0.426906i
\(16\) 3.96510 0.991275
\(17\) −3.31887 −0.804944 −0.402472 0.915432i \(-0.631849\pi\)
−0.402472 + 0.915432i \(0.631849\pi\)
\(18\) 0.191269 + 0.125756i 0.0450826 + 0.0296410i
\(19\) −0.473870 + 0.820767i −0.108713 + 0.188297i −0.915249 0.402888i \(-0.868006\pi\)
0.806536 + 0.591185i \(0.201340\pi\)
\(20\) 7.14622 4.12587i 1.59794 0.922573i
\(21\) −3.46851 2.99490i −0.756891 0.653542i
\(22\) −0.00141502 0.00245088i −0.000301683 0.000522530i
\(23\) 6.77954i 1.41363i 0.707398 + 0.706816i \(0.249869\pi\)
−0.707398 + 0.706816i \(0.750131\pi\)
\(24\) −0.505705 0.151354i −0.103227 0.0308951i
\(25\) 6.06118 10.4983i 1.21224 2.09965i
\(26\) −0.223475 + 0.160454i −0.0438271 + 0.0314677i
\(27\) 3.34097 + 3.97968i 0.642971 + 0.765891i
\(28\) 4.81443 + 2.15835i 0.909842 + 0.407889i
\(29\) 2.57400 + 1.48610i 0.477980 + 0.275962i 0.719574 0.694415i \(-0.244337\pi\)
−0.241594 + 0.970377i \(0.577670\pi\)
\(30\) −0.532115 + 0.126158i −0.0971505 + 0.0230333i
\(31\) 3.10288 5.37435i 0.557294 0.965262i −0.440427 0.897789i \(-0.645173\pi\)
0.997721 0.0674734i \(-0.0214938\pi\)
\(32\) 0.912078 0.161234
\(33\) −0.0148200 0.0625084i −0.00257984 0.0108813i
\(34\) −0.253238 −0.0434299
\(35\) 10.8908 1.11642i 1.84089 0.188709i
\(36\) −4.99886 3.28666i −0.833143 0.547776i
\(37\) 5.88883i 0.968118i 0.875035 + 0.484059i \(0.160838\pi\)
−0.875035 + 0.484059i \(0.839162\pi\)
\(38\) −0.0361574 + 0.0626265i −0.00586551 + 0.0101594i
\(39\) −5.90419 + 2.03483i −0.945427 + 0.325834i
\(40\) 1.09214 0.630547i 0.172682 0.0996983i
\(41\) −8.34651 4.81886i −1.30351 0.752579i −0.322502 0.946569i \(-0.604524\pi\)
−0.981004 + 0.193990i \(0.937857\pi\)
\(42\) −0.264656 0.228518i −0.0408372 0.0352612i
\(43\) 3.55641 + 6.15988i 0.542347 + 0.939372i 0.998769 + 0.0496088i \(0.0157974\pi\)
−0.456422 + 0.889763i \(0.650869\pi\)
\(44\) 0.0369817 + 0.0640542i 0.00557521 + 0.00965654i
\(45\) −12.3929 0.719819i −1.84742 0.107304i
\(46\) 0.517295i 0.0762710i
\(47\) −2.84334 + 1.64160i −0.414743 + 0.239452i −0.692826 0.721105i \(-0.743634\pi\)
0.278082 + 0.960557i \(0.410301\pi\)
\(48\) 6.57940 + 1.96917i 0.949654 + 0.284225i
\(49\) 4.65715 + 5.22599i 0.665307 + 0.746570i
\(50\) 0.462483 0.801044i 0.0654050 0.113285i
\(51\) −5.50709 1.64824i −0.771147 0.230799i
\(52\) 5.84057 4.19351i 0.809941 0.581535i
\(53\) −7.64979 4.41661i −1.05078 0.606668i −0.127912 0.991786i \(-0.540828\pi\)
−0.922867 + 0.385118i \(0.874161\pi\)
\(54\) 0.254924 + 0.303660i 0.0346908 + 0.0413228i
\(55\) 0.132913 + 0.0767371i 0.0179219 + 0.0103472i
\(56\) 0.735778 + 0.329855i 0.0983225 + 0.0440787i
\(57\) −1.19392 + 1.12658i −0.158138 + 0.149220i
\(58\) 0.196403 + 0.113393i 0.0257889 + 0.0148892i
\(59\) 2.73001i 0.355417i 0.984083 + 0.177708i \(0.0568684\pi\)
−0.984083 + 0.177708i \(0.943132\pi\)
\(60\) 13.9069 3.29717i 1.79538 0.425663i
\(61\) 2.19621 + 1.26798i 0.281196 + 0.162349i 0.633965 0.773362i \(-0.281426\pi\)
−0.352769 + 0.935711i \(0.614760\pi\)
\(62\) 0.236757 0.410076i 0.0300682 0.0520797i
\(63\) −4.26804 6.69207i −0.537723 0.843122i
\(64\) −7.86061 −0.982576
\(65\) 6.14475 13.5953i 0.762162 1.68629i
\(66\) −0.00113080 0.00476955i −0.000139192 0.000587090i
\(67\) 3.90180 2.25271i 0.476681 0.275212i −0.242351 0.970189i \(-0.577919\pi\)
0.719032 + 0.694977i \(0.244585\pi\)
\(68\) 6.61842 0.802601
\(69\) −3.36689 + 11.2495i −0.405326 + 1.35428i
\(70\) 0.830997 0.0851854i 0.0993231 0.0101816i
\(71\) 1.17534 + 2.03574i 0.139487 + 0.241598i 0.927302 0.374313i \(-0.122121\pi\)
−0.787816 + 0.615911i \(0.788788\pi\)
\(72\) −0.763964 0.502292i −0.0900340 0.0591957i
\(73\) −3.31007 + 5.73321i −0.387415 + 0.671022i −0.992101 0.125442i \(-0.959965\pi\)
0.604686 + 0.796464i \(0.293298\pi\)
\(74\) 0.449332i 0.0522338i
\(75\) 15.2712 14.4099i 1.76336 1.66391i
\(76\) 0.944981 1.63676i 0.108397 0.187749i
\(77\) 0.0100069 + 0.0976186i 0.00114039 + 0.0111247i
\(78\) −0.450504 + 0.155263i −0.0510095 + 0.0175800i
\(79\) −3.29565 5.70824i −0.370790 0.642227i 0.618897 0.785472i \(-0.287580\pi\)
−0.989687 + 0.143245i \(0.954246\pi\)
\(80\) −14.2091 + 8.20363i −1.58863 + 0.917194i
\(81\) 3.56735 + 8.26281i 0.396373 + 0.918090i
\(82\) −0.636859 0.367691i −0.0703293 0.0406046i
\(83\) 0.309176i 0.0339364i 0.999856 + 0.0169682i \(0.00540141\pi\)
−0.999856 + 0.0169682i \(0.994599\pi\)
\(84\) 6.91682 + 5.97237i 0.754687 + 0.651639i
\(85\) 11.8933 6.86661i 1.29001 0.744788i
\(86\) 0.271362 + 0.470013i 0.0292618 + 0.0506829i
\(87\) 3.53307 + 3.74424i 0.378785 + 0.401425i
\(88\) 0.00565183 + 0.00978926i 0.000602487 + 0.00104354i
\(89\) 8.00037i 0.848037i 0.905653 + 0.424019i \(0.139381\pi\)
−0.905653 + 0.424019i \(0.860619\pi\)
\(90\) −0.945606 0.0549239i −0.0996756 0.00578949i
\(91\) 9.34685 1.90693i 0.979816 0.199901i
\(92\) 13.5196i 1.40952i
\(93\) 7.81773 7.37683i 0.810661 0.764942i
\(94\) −0.216954 + 0.125258i −0.0223770 + 0.0129194i
\(95\) 3.92167i 0.402355i
\(96\) 1.51343 + 0.452961i 0.154464 + 0.0462301i
\(97\) −0.694937 1.20367i −0.0705602 0.122214i 0.828587 0.559861i \(-0.189145\pi\)
−0.899147 + 0.437647i \(0.855812\pi\)
\(98\) 0.355352 + 0.398756i 0.0358960 + 0.0402804i
\(99\) 0.00645201 0.111082i 0.000648451 0.0111641i
\(100\) −12.0871 + 20.9354i −1.20871 + 2.09354i
\(101\) −3.75352 6.50129i −0.373489 0.646903i 0.616610 0.787269i \(-0.288505\pi\)
−0.990100 + 0.140366i \(0.955172\pi\)
\(102\) −0.420204 0.125764i −0.0416064 0.0124525i
\(103\) −11.5199 + 6.65101i −1.13509 + 0.655343i −0.945209 0.326465i \(-0.894143\pi\)
−0.189878 + 0.981808i \(0.560809\pi\)
\(104\) 0.892600 0.640883i 0.0875266 0.0628438i
\(105\) 18.6259 + 3.55616i 1.81770 + 0.347046i
\(106\) −0.583698 0.336998i −0.0566937 0.0327321i
\(107\) 8.02066i 0.775386i −0.921788 0.387693i \(-0.873272\pi\)
0.921788 0.387693i \(-0.126728\pi\)
\(108\) −6.66250 7.93620i −0.641099 0.763661i
\(109\) 3.71726 + 2.14616i 0.356049 + 0.205565i 0.667346 0.744748i \(-0.267430\pi\)
−0.311297 + 0.950313i \(0.600763\pi\)
\(110\) 0.0101415 + 0.00585522i 0.000966958 + 0.000558274i
\(111\) −2.92454 + 9.77149i −0.277585 + 0.927469i
\(112\) −9.57272 4.29152i −0.904537 0.405511i
\(113\) 3.68260 2.12615i 0.346430 0.200011i −0.316682 0.948532i \(-0.602569\pi\)
0.663112 + 0.748521i \(0.269235\pi\)
\(114\) −0.0910989 + 0.0859611i −0.00853219 + 0.00805099i
\(115\) −14.0266 24.2948i −1.30799 2.26550i
\(116\) −5.13302 2.96355i −0.476589 0.275159i
\(117\) −10.8075 + 0.444281i −0.999156 + 0.0410738i
\(118\) 0.208306i 0.0191761i
\(119\) 8.01256 + 3.59209i 0.734510 + 0.329287i
\(120\) 2.12536 0.503899i 0.194018 0.0459995i
\(121\) 5.49931 9.52509i 0.499937 0.865917i
\(122\) 0.167576 + 0.0967503i 0.0151717 + 0.00875936i
\(123\) −11.4564 12.1411i −1.03299 1.09473i
\(124\) −6.18770 + 10.7174i −0.555672 + 0.962452i
\(125\) 29.4718i 2.63603i
\(126\) −0.325662 0.510621i −0.0290123 0.0454898i
\(127\) −5.97807 + 10.3543i −0.530468 + 0.918797i 0.468901 + 0.883251i \(0.344650\pi\)
−0.999368 + 0.0355457i \(0.988683\pi\)
\(128\) −2.42394 −0.214248
\(129\) 2.84209 + 11.9874i 0.250232 + 1.05544i
\(130\) 0.468859 1.03736i 0.0411217 0.0909821i
\(131\) 3.77629 + 6.54072i 0.329936 + 0.571466i 0.982499 0.186269i \(-0.0596395\pi\)
−0.652563 + 0.757735i \(0.726306\pi\)
\(132\) 0.0295538 + 0.124653i 0.00257233 + 0.0108496i
\(133\) 2.03237 1.46865i 0.176229 0.127348i
\(134\) 0.297717 0.171887i 0.0257188 0.0148488i
\(135\) −20.2063 7.34903i −1.73908 0.632504i
\(136\) 1.01148 0.0867334
\(137\) 2.16128 0.184650 0.0923252 0.995729i \(-0.470570\pi\)
0.0923252 + 0.995729i \(0.470570\pi\)
\(138\) −0.256902 + 0.858362i −0.0218690 + 0.0730686i
\(139\) −11.8956 + 6.86795i −1.00898 + 0.582532i −0.910892 0.412646i \(-0.864605\pi\)
−0.0980840 + 0.995178i \(0.531271\pi\)
\(140\) −21.7183 + 2.22634i −1.83553 + 0.188160i
\(141\) −5.53328 + 1.31188i −0.465987 + 0.110480i
\(142\) 0.0896811 + 0.155332i 0.00752587 + 0.0130352i
\(143\) 0.121860 + 0.0550777i 0.0101904 + 0.00460583i
\(144\) 9.93942 + 6.53499i 0.828285 + 0.544583i
\(145\) −12.2987 −1.02135
\(146\) −0.252566 + 0.437458i −0.0209025 + 0.0362043i
\(147\) 5.13237 + 10.9845i 0.423311 + 0.905985i
\(148\) 11.7434i 0.965300i
\(149\) −10.9313 + 18.9336i −0.895530 + 1.55110i −0.0623837 + 0.998052i \(0.519870\pi\)
−0.833147 + 0.553052i \(0.813463\pi\)
\(150\) 1.16523 1.09951i 0.0951405 0.0897748i
\(151\) −5.45857 3.15150i −0.444212 0.256466i 0.261171 0.965293i \(-0.415891\pi\)
−0.705383 + 0.708827i \(0.749225\pi\)
\(152\) 0.144419 0.250141i 0.0117139 0.0202891i
\(153\) −8.31950 5.46992i −0.672592 0.442217i
\(154\) 0.000763549 0.00744853i 6.15285e−5 0.000600220i
\(155\) 25.6789i 2.06258i
\(156\) 11.7740 4.05782i 0.942675 0.324886i
\(157\) 7.64287 + 4.41261i 0.609967 + 0.352165i 0.772953 0.634464i \(-0.218779\pi\)
−0.162985 + 0.986628i \(0.552112\pi\)
\(158\) −0.251466 0.435552i −0.0200056 0.0346507i
\(159\) −10.5001 11.1277i −0.832712 0.882482i
\(160\) −3.26847 + 1.88705i −0.258395 + 0.149185i
\(161\) 7.33766 16.3675i 0.578289 1.28994i
\(162\) 0.272198 + 0.630472i 0.0213859 + 0.0495346i
\(163\) 15.0458 + 8.68669i 1.17848 + 0.680394i 0.955662 0.294467i \(-0.0951420\pi\)
0.222815 + 0.974861i \(0.428475\pi\)
\(164\) 16.6444 + 9.60966i 1.29971 + 0.750388i
\(165\) 0.182436 + 0.193340i 0.0142026 + 0.0150515i
\(166\) 0.0235908i 0.00183100i
\(167\) 13.3145 + 7.68711i 1.03030 + 0.594846i 0.917072 0.398723i \(-0.130546\pi\)
0.113232 + 0.993569i \(0.463880\pi\)
\(168\) 1.05708 + 0.912743i 0.0815556 + 0.0704197i
\(169\) 4.15584 12.3178i 0.319680 0.947526i
\(170\) 0.907488 0.523939i 0.0696012 0.0401843i
\(171\) −2.54059 + 1.27644i −0.194284 + 0.0976118i
\(172\) −7.09211 12.2839i −0.540768 0.936638i
\(173\) 2.35467 4.07841i 0.179022 0.310076i −0.762524 0.646960i \(-0.776040\pi\)
0.941546 + 0.336885i \(0.109373\pi\)
\(174\) 0.269582 + 0.285695i 0.0204370 + 0.0216585i
\(175\) −25.9957 + 18.7852i −1.96509 + 1.42003i
\(176\) −0.0735322 0.127362i −0.00554270 0.00960024i
\(177\) −1.35579 + 4.52997i −0.101908 + 0.340494i
\(178\) 0.610447i 0.0457550i
\(179\) 16.9482 9.78504i 1.26677 0.731368i 0.292392 0.956299i \(-0.405549\pi\)
0.974375 + 0.224931i \(0.0722155\pi\)
\(180\) 24.7136 + 1.43545i 1.84204 + 0.106992i
\(181\) 4.76173i 0.353937i −0.984217 0.176968i \(-0.943371\pi\)
0.984217 0.176968i \(-0.0566290\pi\)
\(182\) 0.713187 0.145504i 0.0528650 0.0107854i
\(183\) 3.01452 + 3.19469i 0.222840 + 0.236159i
\(184\) 2.06617i 0.152320i
\(185\) −12.1838 21.1029i −0.895767 1.55151i
\(186\) 0.596512 0.562870i 0.0437384 0.0412716i
\(187\) 0.0615480 + 0.106604i 0.00450083 + 0.00779567i
\(188\) 5.67012 3.27365i 0.413536 0.238755i
\(189\) −3.75862 13.2239i −0.273399 0.961901i
\(190\) 0.299233i 0.0217086i
\(191\) −8.37294 4.83412i −0.605844 0.349784i 0.165493 0.986211i \(-0.447078\pi\)
−0.771337 + 0.636427i \(0.780412\pi\)
\(192\) −13.0433 3.90378i −0.941320 0.281731i
\(193\) 0.117155 0.0676397i 0.00843303 0.00486881i −0.495778 0.868450i \(-0.665117\pi\)
0.504211 + 0.863581i \(0.331784\pi\)
\(194\) −0.0530254 0.0918426i −0.00380700 0.00659392i
\(195\) 16.9479 19.5074i 1.21367 1.39696i
\(196\) −9.28719 10.4216i −0.663370 0.744397i
\(197\) 7.21464 12.4961i 0.514022 0.890312i −0.485846 0.874045i \(-0.661488\pi\)
0.999868 0.0162677i \(-0.00517839\pi\)
\(198\) 0.000492304 0.00847582i 3.49865e−5 0.000602350i
\(199\) 8.42233i 0.597043i 0.954403 + 0.298522i \(0.0964935\pi\)
−0.954403 + 0.298522i \(0.903506\pi\)
\(200\) −1.84724 + 3.19951i −0.130620 + 0.226240i
\(201\) 7.59312 1.80024i 0.535577 0.126979i
\(202\) −0.286403 0.496064i −0.0201512 0.0349030i
\(203\) −4.60583 6.37372i −0.323266 0.447347i
\(204\) 10.9821 + 3.28687i 0.768902 + 0.230127i
\(205\) 39.8801 2.78535
\(206\) −0.878995 + 0.507488i −0.0612425 + 0.0353584i
\(207\) −11.1735 + 16.9945i −0.776615 + 1.18120i
\(208\) −11.6130 + 8.33811i −0.805218 + 0.578144i
\(209\) 0.0351514 0.00243147
\(210\) 1.42120 + 0.271344i 0.0980721 + 0.0187245i
\(211\) −5.96070 + 10.3242i −0.410351 + 0.710750i −0.994928 0.100589i \(-0.967927\pi\)
0.584577 + 0.811339i \(0.301261\pi\)
\(212\) 15.2550 + 8.80750i 1.04772 + 0.604902i
\(213\) 0.939265 + 3.96166i 0.0643574 + 0.271449i
\(214\) 0.611996i 0.0418352i
\(215\) −25.4891 14.7161i −1.73834 1.00363i
\(216\) −1.01821 1.21287i −0.0692807 0.0825254i
\(217\) −13.3079 + 9.61667i −0.903400 + 0.652822i
\(218\) 0.283636 + 0.163757i 0.0192103 + 0.0110910i
\(219\) −8.33975 + 7.86940i −0.563548 + 0.531765i
\(220\) −0.265051 0.153027i −0.0178697 0.0103171i
\(221\) 9.72034 6.97917i 0.653861 0.469470i
\(222\) −0.223150 + 0.745589i −0.0149768 + 0.0500406i
\(223\) 0.0298964 0.0517820i 0.00200201 0.00346758i −0.865023 0.501733i \(-0.832696\pi\)
0.867025 + 0.498265i \(0.166029\pi\)
\(224\) −2.20198 0.987164i −0.147126 0.0659576i
\(225\) 32.4962 16.3267i 2.16641 1.08845i
\(226\) 0.280991 0.162230i 0.0186913 0.0107914i
\(227\) 10.6269i 0.705335i 0.935749 + 0.352668i \(0.114725\pi\)
−0.935749 + 0.352668i \(0.885275\pi\)
\(228\) 2.38089 2.24661i 0.157678 0.148785i
\(229\) 7.42263 + 12.8564i 0.490501 + 0.849573i 0.999940 0.0109335i \(-0.00348031\pi\)
−0.509439 + 0.860507i \(0.670147\pi\)
\(230\) −1.07026 1.85375i −0.0705710 0.122233i
\(231\) −0.0318752 + 0.166951i −0.00209723 + 0.0109845i
\(232\) −0.784467 0.452912i −0.0515028 0.0297352i
\(233\) 11.1927 6.46212i 0.733260 0.423348i −0.0863536 0.996265i \(-0.527521\pi\)
0.819614 + 0.572917i \(0.194188\pi\)
\(234\) −0.824640 + 0.0338997i −0.0539084 + 0.00221610i
\(235\) 6.79281 11.7655i 0.443114 0.767496i
\(236\) 5.44412i 0.354382i
\(237\) −2.63371 11.1085i −0.171078 0.721577i
\(238\) 0.611378 + 0.274085i 0.0396297 + 0.0177663i
\(239\) −20.5968 −1.33230 −0.666149 0.745818i \(-0.732059\pi\)
−0.666149 + 0.745818i \(0.732059\pi\)
\(240\) −27.6517 + 6.55590i −1.78491 + 0.423181i
\(241\) 4.02420 0.259222 0.129611 0.991565i \(-0.458627\pi\)
0.129611 + 0.991565i \(0.458627\pi\)
\(242\) 0.419611 0.726787i 0.0269736 0.0467197i
\(243\) 1.81588 + 15.4823i 0.116489 + 0.993192i
\(244\) −4.37964 2.52859i −0.280378 0.161876i
\(245\) −27.5014 9.09210i −1.75700 0.580873i
\(246\) −0.874152 0.926399i −0.0557339 0.0590650i
\(247\) −0.338095 3.40036i −0.0215125 0.216360i
\(248\) −0.945652 + 1.63792i −0.0600489 + 0.104008i
\(249\) −0.153544 + 0.513023i −0.00973048 + 0.0325115i
\(250\) 2.24877i 0.142224i
\(251\) −8.05407 13.9501i −0.508368 0.880519i −0.999953 0.00968975i \(-0.996916\pi\)
0.491585 0.870830i \(-0.336418\pi\)
\(252\) 8.51123 + 13.3452i 0.536157 + 0.840667i
\(253\) 0.217763 0.125726i 0.0136906 0.00790430i
\(254\) −0.456141 + 0.790059i −0.0286208 + 0.0495727i
\(255\) 23.1450 5.48742i 1.44940 0.343635i
\(256\) 15.5363 0.971017
\(257\) 20.9666 1.30786 0.653929 0.756556i \(-0.273119\pi\)
0.653929 + 0.756556i \(0.273119\pi\)
\(258\) 0.216858 + 0.914671i 0.0135010 + 0.0569449i
\(259\) 6.37362 14.2171i 0.396038 0.883406i
\(260\) −12.2537 + 27.1115i −0.759943 + 1.68138i
\(261\) 4.00304 + 7.96753i 0.247782 + 0.493178i
\(262\) 0.288140 + 0.499073i 0.0178013 + 0.0308328i
\(263\) −14.2597 + 8.23284i −0.879291 + 0.507659i −0.870424 0.492302i \(-0.836156\pi\)
−0.00886615 + 0.999961i \(0.502822\pi\)
\(264\) 0.00451663 + 0.0190504i 0.000277980 + 0.00117247i
\(265\) 36.5511 2.24532
\(266\) 0.155075 0.112062i 0.00950826 0.00687094i
\(267\) −3.97319 + 13.2752i −0.243155 + 0.812430i
\(268\) −7.78089 + 4.49230i −0.475294 + 0.274411i
\(269\) 30.5671 1.86371 0.931855 0.362830i \(-0.118189\pi\)
0.931855 + 0.362830i \(0.118189\pi\)
\(270\) −1.54179 0.560749i −0.0938305 0.0341261i
\(271\) 4.51877 0.274496 0.137248 0.990537i \(-0.456174\pi\)
0.137248 + 0.990537i \(0.456174\pi\)
\(272\) −13.1597 −0.797921
\(273\) 16.4565 + 1.47766i 0.995993 + 0.0894321i
\(274\) 0.164911 0.00996262
\(275\) −0.449615 −0.0271128
\(276\) 6.71418 22.4334i 0.404146 1.35033i
\(277\) −1.64751 −0.0989895 −0.0494947 0.998774i \(-0.515761\pi\)
−0.0494947 + 0.998774i \(0.515761\pi\)
\(278\) −0.907667 + 0.524042i −0.0544382 + 0.0314299i
\(279\) 16.6357 8.35808i 0.995953 0.500385i
\(280\) −3.31915 + 0.340246i −0.198357 + 0.0203336i
\(281\) −7.59486 −0.453071 −0.226536 0.974003i \(-0.572740\pi\)
−0.226536 + 0.974003i \(0.572740\pi\)
\(282\) −0.422203 + 0.100100i −0.0251418 + 0.00596084i
\(283\) −11.5578 + 6.67289i −0.687038 + 0.396662i −0.802502 0.596650i \(-0.796498\pi\)
0.115463 + 0.993312i \(0.463165\pi\)
\(284\) −2.34383 4.05963i −0.139081 0.240895i
\(285\) 1.94760 6.50733i 0.115366 0.385461i
\(286\) 0.00929821 + 0.00420256i 0.000549815 + 0.000248503i
\(287\) 14.9349 + 20.6675i 0.881582 + 1.21997i
\(288\) 2.28633 + 1.50322i 0.134723 + 0.0885781i
\(289\) −5.98510 −0.352065
\(290\) −0.938423 −0.0551061
\(291\) −0.555356 2.34240i −0.0325555 0.137314i
\(292\) 6.60087 11.4330i 0.386287 0.669068i
\(293\) 21.0976 12.1807i 1.23253 0.711603i 0.264976 0.964255i \(-0.414636\pi\)
0.967557 + 0.252652i \(0.0813026\pi\)
\(294\) 0.391612 + 0.838142i 0.0228393 + 0.0488815i
\(295\) −5.64827 9.78310i −0.328855 0.569594i
\(296\) 1.79471i 0.104316i
\(297\) 0.0658721 0.181117i 0.00382229 0.0105095i
\(298\) −0.834088 + 1.44468i −0.0483174 + 0.0836882i
\(299\) −14.2565 19.8560i −0.824476 1.14830i
\(300\) −30.4535 + 28.7360i −1.75823 + 1.65907i
\(301\) −1.91905 18.7206i −0.110612 1.07904i
\(302\) −0.416502 0.240467i −0.0239670 0.0138373i
\(303\) −2.99961 12.6519i −0.172323 0.726830i
\(304\) −1.87894 + 3.25442i −0.107765 + 0.186654i
\(305\) −10.4936 −0.600863
\(306\) −0.634798 0.417368i −0.0362890 0.0238593i
\(307\) −21.7786 −1.24297 −0.621485 0.783426i \(-0.713470\pi\)
−0.621485 + 0.783426i \(0.713470\pi\)
\(308\) −0.0199555 0.194669i −0.00113707 0.0110923i
\(309\) −22.4183 + 5.31512i −1.27533 + 0.302367i
\(310\) 1.95937i 0.111285i
\(311\) 5.12391 8.87487i 0.290550 0.503247i −0.683390 0.730054i \(-0.739495\pi\)
0.973940 + 0.226806i \(0.0728284\pi\)
\(312\) 1.79939 0.620147i 0.101871 0.0351089i
\(313\) −5.90944 + 3.41182i −0.334022 + 0.192847i −0.657625 0.753345i \(-0.728439\pi\)
0.323604 + 0.946193i \(0.395106\pi\)
\(314\) 0.583169 + 0.336693i 0.0329101 + 0.0190007i
\(315\) 29.1403 + 15.1509i 1.64187 + 0.853657i
\(316\) 6.57212 + 11.3832i 0.369711 + 0.640357i
\(317\) 8.75108 + 15.1573i 0.491509 + 0.851319i 0.999952 0.00977653i \(-0.00311202\pi\)
−0.508443 + 0.861096i \(0.669779\pi\)
\(318\) −0.801183 0.849069i −0.0449281 0.0476134i
\(319\) 0.110238i 0.00617215i
\(320\) 28.1688 16.2633i 1.57469 0.909145i
\(321\) 3.98326 13.3089i 0.222324 0.742830i
\(322\) 0.559881 1.24888i 0.0312010 0.0695972i
\(323\) 1.57271 2.72402i 0.0875081 0.151568i
\(324\) −7.11394 16.4775i −0.395219 0.915417i
\(325\) 4.32451 + 43.4933i 0.239881 + 2.41258i
\(326\) 1.14803 + 0.662815i 0.0635835 + 0.0367099i
\(327\) 5.10231 + 5.40727i 0.282158 + 0.299023i
\(328\) 2.54373 + 1.46862i 0.140454 + 0.0810911i
\(329\) 8.64125 0.885815i 0.476408 0.0488365i
\(330\) 0.0139203 + 0.0147523i 0.000766286 + 0.000812086i
\(331\) 4.73450 + 2.73346i 0.260232 + 0.150245i 0.624440 0.781073i \(-0.285327\pi\)
−0.364209 + 0.931317i \(0.618660\pi\)
\(332\) 0.616551i 0.0338376i
\(333\) −9.70554 + 14.7617i −0.531861 + 0.808936i
\(334\) 1.01593 + 0.586545i 0.0555890 + 0.0320943i
\(335\) −9.32152 + 16.1453i −0.509289 + 0.882114i
\(336\) −13.7530 11.8751i −0.750287 0.647840i
\(337\) 6.33977 0.345349 0.172675 0.984979i \(-0.444759\pi\)
0.172675 + 0.984979i \(0.444759\pi\)
\(338\) 0.317101 0.939880i 0.0172480 0.0511228i
\(339\) 7.16653 1.69910i 0.389233 0.0922826i
\(340\) −23.7174 + 13.6932i −1.28626 + 0.742620i
\(341\) −0.230170 −0.0124644
\(342\) −0.193853 + 0.0973955i −0.0104824 + 0.00526654i
\(343\) −5.58728 17.6574i −0.301685 0.953408i
\(344\) −1.08387 1.87732i −0.0584383 0.101218i
\(345\) −11.2093 47.2789i −0.603488 2.54541i
\(346\) 0.179667 0.311193i 0.00965897 0.0167298i
\(347\) 24.9671i 1.34030i 0.742225 + 0.670151i \(0.233771\pi\)
−0.742225 + 0.670151i \(0.766229\pi\)
\(348\) −7.04558 7.46668i −0.377683 0.400256i
\(349\) 10.7238 18.5742i 0.574033 0.994254i −0.422113 0.906543i \(-0.638712\pi\)
0.996146 0.0877105i \(-0.0279550\pi\)
\(350\) −1.98354 + 1.43336i −0.106024 + 0.0766163i
\(351\) −18.1539 4.63008i −0.968981 0.247136i
\(352\) −0.0169143 0.0292965i −0.000901538 0.00156151i
\(353\) 4.99263 2.88250i 0.265731 0.153420i −0.361215 0.932483i \(-0.617638\pi\)
0.626946 + 0.779063i \(0.284305\pi\)
\(354\) −0.103450 + 0.345648i −0.00549831 + 0.0183710i
\(355\) −8.42374 4.86345i −0.447086 0.258125i
\(356\) 15.9542i 0.845569i
\(357\) 11.5115 + 9.93970i 0.609255 + 0.526064i
\(358\) 1.29319 0.746622i 0.0683471 0.0394602i
\(359\) −16.6116 28.7721i −0.876726 1.51853i −0.854913 0.518772i \(-0.826389\pi\)
−0.0218135 0.999762i \(-0.506944\pi\)
\(360\) 3.77692 + 0.219376i 0.199061 + 0.0115621i
\(361\) 9.05089 + 15.6766i 0.476363 + 0.825085i
\(362\) 0.363332i 0.0190963i
\(363\) 13.8556 13.0741i 0.727228 0.686214i
\(364\) −18.6393 + 3.80276i −0.976964 + 0.199319i
\(365\) 27.3936i 1.43385i
\(366\) 0.230015 + 0.243763i 0.0120231 + 0.0127417i
\(367\) 8.91385 5.14642i 0.465299 0.268641i −0.248971 0.968511i \(-0.580092\pi\)
0.714270 + 0.699870i \(0.246759\pi\)
\(368\) 26.8816i 1.40130i
\(369\) −12.9803 25.8357i −0.675728 1.34495i
\(370\) −0.929650 1.61020i −0.0483302 0.0837103i
\(371\) 13.6883 + 18.9423i 0.710659 + 0.983436i
\(372\) −15.5900 + 14.7107i −0.808301 + 0.762715i
\(373\) −2.00522 + 3.47314i −0.103826 + 0.179832i −0.913258 0.407382i \(-0.866442\pi\)
0.809432 + 0.587214i \(0.199775\pi\)
\(374\) 0.00469626 + 0.00813416i 0.000242838 + 0.000420607i
\(375\) −14.6364 + 48.9033i −0.755822 + 2.52535i
\(376\) 0.866551 0.500303i 0.0446890 0.0258012i
\(377\) −10.6638 + 1.06030i −0.549216 + 0.0546081i
\(378\) −0.286792 1.00902i −0.0147510 0.0518983i
\(379\) 13.0700 + 7.54596i 0.671360 + 0.387610i 0.796592 0.604517i \(-0.206634\pi\)
−0.125232 + 0.992128i \(0.539967\pi\)
\(380\) 7.82051i 0.401184i
\(381\) −15.0618 + 14.2123i −0.771638 + 0.728119i
\(382\) −0.638875 0.368855i −0.0326877 0.0188723i
\(383\) 19.3357 + 11.1635i 0.988008 + 0.570427i 0.904678 0.426095i \(-0.140111\pi\)
0.0833300 + 0.996522i \(0.473444\pi\)
\(384\) −4.02211 1.20379i −0.205252 0.0614306i
\(385\) −0.237829 0.329116i −0.0121209 0.0167733i
\(386\) 0.00893924 0.00516108i 0.000454996 0.000262692i
\(387\) −1.23732 + 21.3025i −0.0628966 + 1.08287i
\(388\) 1.38583 + 2.40032i 0.0703547 + 0.121858i
\(389\) 0.779307 + 0.449933i 0.0395124 + 0.0228125i 0.519626 0.854394i \(-0.326071\pi\)
−0.480114 + 0.877206i \(0.659405\pi\)
\(390\) 1.29317 1.48846i 0.0654821 0.0753713i
\(391\) 22.5004i 1.13789i
\(392\) −1.41934 1.59270i −0.0716874 0.0804435i
\(393\) 3.01780 + 12.7286i 0.152228 + 0.642073i
\(394\) 0.550495 0.953485i 0.0277335 0.0480359i
\(395\) 23.6202 + 13.6371i 1.18846 + 0.686159i
\(396\) −0.0128665 + 0.221517i −0.000646563 + 0.0111317i
\(397\) 9.85736 17.0734i 0.494727 0.856892i −0.505255 0.862970i \(-0.668601\pi\)
0.999982 + 0.00607837i \(0.00193482\pi\)
\(398\) 0.642645i 0.0322129i
\(399\) 4.10174 1.42764i 0.205344 0.0714715i
\(400\) 24.0332 41.6267i 1.20166 2.08134i
\(401\) −13.5444 −0.676373 −0.338187 0.941079i \(-0.609814\pi\)
−0.338187 + 0.941079i \(0.609814\pi\)
\(402\) 0.579373 0.137363i 0.0288965 0.00685103i
\(403\) 2.21383 + 22.2654i 0.110279 + 1.10912i
\(404\) 7.48519 + 12.9647i 0.372402 + 0.645019i
\(405\) −29.8792 22.2294i −1.48471 1.10459i
\(406\) −0.351436 0.486330i −0.0174415 0.0241362i
\(407\) 0.189153 0.109208i 0.00937596 0.00541322i
\(408\) 1.67837 + 0.502325i 0.0830917 + 0.0248688i
\(409\) 17.9317 0.886665 0.443332 0.896357i \(-0.353796\pi\)
0.443332 + 0.896357i \(0.353796\pi\)
\(410\) 3.04295 0.150280
\(411\) 3.58626 + 1.07335i 0.176897 + 0.0529442i
\(412\) 22.9727 13.2633i 1.13178 0.653435i
\(413\) 2.95475 6.59091i 0.145394 0.324317i
\(414\) −0.852568 + 1.29672i −0.0419015 + 0.0637302i
\(415\) −0.639672 1.10794i −0.0314002 0.0543868i
\(416\) −2.67130 + 1.91798i −0.130971 + 0.0940369i
\(417\) −23.1496 + 5.48850i −1.13364 + 0.268773i
\(418\) 0.00268214 0.000131188
\(419\) −1.60815 + 2.78540i −0.0785633 + 0.136076i −0.902630 0.430417i \(-0.858367\pi\)
0.824067 + 0.566492i \(0.191700\pi\)
\(420\) −37.1433 7.09162i −1.81241 0.346035i
\(421\) 8.40422i 0.409597i −0.978804 0.204798i \(-0.934346\pi\)
0.978804 0.204798i \(-0.0656539\pi\)
\(422\) −0.454816 + 0.787764i −0.0221401 + 0.0383478i
\(423\) −9.83304 0.571136i −0.478099 0.0277696i
\(424\) 2.33139 + 1.34603i 0.113222 + 0.0653690i
\(425\) −20.1163 + 34.8424i −0.975783 + 1.69011i
\(426\) 0.0716682 + 0.302285i 0.00347234 + 0.0146457i
\(427\) −3.92982 5.43824i −0.190178 0.263175i
\(428\) 15.9946i 0.773129i
\(429\) 0.174852 + 0.151911i 0.00844195 + 0.00733431i
\(430\) −1.94488 1.12288i −0.0937903 0.0541499i
\(431\) 12.3986 + 21.4750i 0.597221 + 1.03442i 0.993229 + 0.116170i \(0.0370617\pi\)
−0.396009 + 0.918247i \(0.629605\pi\)
\(432\) 13.2473 + 15.7799i 0.637361 + 0.759209i
\(433\) −28.4393 + 16.4194i −1.36671 + 0.789068i −0.990506 0.137471i \(-0.956103\pi\)
−0.376199 + 0.926539i \(0.622769\pi\)
\(434\) −1.01543 + 0.733775i −0.0487420 + 0.0352223i
\(435\) −20.4076 6.10786i −0.978470 0.292850i
\(436\) −7.41288 4.27983i −0.355013 0.204967i
\(437\) −5.56442 3.21262i −0.266182 0.153680i
\(438\) −0.636343 + 0.600454i −0.0304056 + 0.0286908i
\(439\) 10.4806i 0.500212i −0.968218 0.250106i \(-0.919535\pi\)
0.968218 0.250106i \(-0.0804654\pi\)
\(440\) −0.0405071 0.0233868i −0.00193110 0.00111492i
\(441\) 3.06111 + 20.7757i 0.145767 + 0.989319i
\(442\) 0.741685 0.532527i 0.0352784 0.0253297i
\(443\) −12.1404 + 7.00926i −0.576808 + 0.333020i −0.759864 0.650082i \(-0.774734\pi\)
0.183056 + 0.983102i \(0.441401\pi\)
\(444\) 5.83206 19.4861i 0.276777 0.924769i
\(445\) −16.5524 28.6697i −0.784660 1.35907i
\(446\) 0.00228117 0.00395110i 0.000108016 0.000187090i
\(447\) −27.5416 + 25.9883i −1.30267 + 1.22920i
\(448\) 18.9774 + 8.50773i 0.896599 + 0.401952i
\(449\) −19.0785 33.0449i −0.900370 1.55949i −0.827015 0.562180i \(-0.809963\pi\)
−0.0733552 0.997306i \(-0.523371\pi\)
\(450\) 2.47954 1.24577i 0.116887 0.0587260i
\(451\) 0.357460i 0.0168321i
\(452\) −7.34376 + 4.23992i −0.345421 + 0.199429i
\(453\) −7.49242 7.94024i −0.352025 0.373065i
\(454\) 0.810862i 0.0380556i
\(455\) −29.5495 + 26.1718i −1.38530 + 1.22695i
\(456\) 0.363865 0.343344i 0.0170395 0.0160786i
\(457\) 20.7674i 0.971456i 0.874110 + 0.485728i \(0.161445\pi\)
−0.874110 + 0.485728i \(0.838555\pi\)
\(458\) 0.566365 + 0.980973i 0.0264645 + 0.0458379i
\(459\) −11.0883 13.2081i −0.517556 0.616499i
\(460\) 27.9715 + 48.4481i 1.30418 + 2.25890i
\(461\) −8.39604 + 4.84746i −0.391043 + 0.225769i −0.682612 0.730781i \(-0.739156\pi\)
0.291569 + 0.956550i \(0.405823\pi\)
\(462\) −0.00243215 + 0.0127387i −0.000113154 + 0.000592660i
\(463\) 3.23134i 0.150173i 0.997177 + 0.0750865i \(0.0239233\pi\)
−0.997177 + 0.0750865i \(0.976077\pi\)
\(464\) 10.2062 + 5.89254i 0.473810 + 0.273554i
\(465\) −12.7528 + 42.6098i −0.591398 + 1.97598i
\(466\) 0.854032 0.493076i 0.0395623 0.0228413i
\(467\) −17.6202 30.5190i −0.815364 1.41225i −0.909066 0.416651i \(-0.863204\pi\)
0.0937025 0.995600i \(-0.470130\pi\)
\(468\) 21.5521 0.885976i 0.996248 0.0409543i
\(469\) −11.8581 + 1.21557i −0.547555 + 0.0561298i
\(470\) 0.518308 0.897736i 0.0239078 0.0414095i
\(471\) 10.4906 + 11.1176i 0.483381 + 0.512272i
\(472\) 0.832012i 0.0382965i
\(473\) 0.131906 0.228468i 0.00606505 0.0105050i
\(474\) −0.200958 0.847608i −0.00923032 0.0389319i
\(475\) 5.74442 + 9.94964i 0.263572 + 0.456521i
\(476\) −15.9785 7.16327i −0.732372 0.328328i
\(477\) −11.8968 23.6791i −0.544717 1.08419i
\(478\) −1.57159 −0.0718828
\(479\) −4.11527 + 2.37595i −0.188032 + 0.108560i −0.591061 0.806627i \(-0.701291\pi\)
0.403029 + 0.915187i \(0.367957\pi\)
\(480\) −6.36061 + 1.50803i −0.290321 + 0.0688318i
\(481\) −12.3835 17.2473i −0.564638 0.786407i
\(482\) 0.307056 0.0139860
\(483\) 20.3041 23.5149i 0.923867 1.06996i
\(484\) −10.9666 + 18.9947i −0.498482 + 0.863396i
\(485\) 4.98067 + 2.87559i 0.226161 + 0.130574i
\(486\) 0.138556 + 1.18134i 0.00628504 + 0.0535866i
\(487\) 25.2391i 1.14369i −0.820360 0.571847i \(-0.806227\pi\)
0.820360 0.571847i \(-0.193773\pi\)
\(488\) −0.669330 0.386438i −0.0302991 0.0174932i
\(489\) 20.6518 + 21.8862i 0.933908 + 0.989727i
\(490\) −2.09843 0.693749i −0.0947973 0.0313404i
\(491\) −10.8867 6.28543i −0.491309 0.283658i 0.233808 0.972283i \(-0.424881\pi\)
−0.725117 + 0.688625i \(0.758215\pi\)
\(492\) 22.8461 + 24.2116i 1.02998 + 1.09154i
\(493\) −8.54278 4.93218i −0.384748 0.222134i
\(494\) −0.0257975 0.259456i −0.00116068 0.0116735i
\(495\) 0.206703 + 0.411416i 0.00929060 + 0.0184918i
\(496\) 12.3032 21.3098i 0.552432 0.956840i
\(497\) −0.634217 6.18688i −0.0284485 0.277519i
\(498\) −0.0117158 + 0.0391449i −0.000524998 + 0.00175413i
\(499\) 19.8038 11.4337i 0.886540 0.511844i 0.0137310 0.999906i \(-0.495629\pi\)
0.872809 + 0.488061i \(0.162296\pi\)
\(500\) 58.7719i 2.62836i
\(501\) 18.2754 + 19.3677i 0.816485 + 0.865286i
\(502\) −0.614545 1.06442i −0.0274285 0.0475075i
\(503\) −14.0739 24.3767i −0.627525 1.08691i −0.988047 0.154155i \(-0.950735\pi\)
0.360522 0.932751i \(-0.382599\pi\)
\(504\) 1.30075 + 2.03951i 0.0579401 + 0.0908471i
\(505\) 26.9018 + 15.5318i 1.19711 + 0.691155i
\(506\) 0.0166158 0.00959316i 0.000738665 0.000426468i
\(507\) 13.0132 18.3754i 0.577938 0.816080i
\(508\) 11.9213 20.6483i 0.528923 0.916122i
\(509\) 23.9373i 1.06100i 0.847684 + 0.530502i \(0.177996\pi\)
−0.847684 + 0.530502i \(0.822004\pi\)
\(510\) 1.76602 0.418703i 0.0782007 0.0185405i
\(511\) 14.1965 10.2588i 0.628017 0.453823i
\(512\) 6.03333 0.266638
\(513\) −4.84958 + 0.856308i −0.214114 + 0.0378069i
\(514\) 1.59980 0.0705642
\(515\) 27.5213 47.6683i 1.21273 2.10052i
\(516\) −5.66763 23.9051i −0.249503 1.05236i
\(517\) 0.105459 + 0.0608865i 0.00463806 + 0.00267779i
\(518\) 0.486323 1.08480i 0.0213678 0.0476633i
\(519\) 5.93261 5.59802i 0.260413 0.245726i
\(520\) −1.87271 + 4.14338i −0.0821236 + 0.181699i
\(521\) −3.46298 + 5.99806i −0.151716 + 0.262780i −0.931858 0.362822i \(-0.881813\pi\)
0.780142 + 0.625602i \(0.215147\pi\)
\(522\) 0.305441 + 0.607942i 0.0133688 + 0.0266089i
\(523\) 25.3491i 1.10844i 0.832371 + 0.554219i \(0.186983\pi\)
−0.832371 + 0.554219i \(0.813017\pi\)
\(524\) −7.53059 13.0434i −0.328975 0.569802i
\(525\) −52.4646 + 18.2607i −2.28974 + 0.796962i
\(526\) −1.08805 + 0.628186i −0.0474412 + 0.0273902i
\(527\) −10.2981 + 17.8368i −0.448591 + 0.776982i
\(528\) −0.0587629 0.247852i −0.00255733 0.0107864i
\(529\) −22.9622 −0.998355
\(530\) 2.78894 0.121144
\(531\) −4.49940 + 6.84338i −0.195257 + 0.296978i
\(532\) −4.05291 + 2.92875i −0.175716 + 0.126977i
\(533\) 34.5788 3.43814i 1.49777 0.148922i
\(534\) −0.303164 + 1.01293i −0.0131192 + 0.0438338i
\(535\) 16.5944 + 28.7424i 0.717439 + 1.24264i
\(536\) −1.18914 + 0.686547i −0.0513628 + 0.0296543i
\(537\) 32.9821 7.81967i 1.42328 0.337444i
\(538\) 2.33235 0.100555
\(539\) 0.0814959 0.246506i 0.00351028 0.0106178i
\(540\) 40.2950 + 14.6553i 1.73402 + 0.630662i
\(541\) 22.9042 13.2238i 0.984729 0.568534i 0.0810347 0.996711i \(-0.474178\pi\)
0.903695 + 0.428178i \(0.140844\pi\)
\(542\) 0.344793 0.0148101
\(543\) 2.36480 7.90127i 0.101483 0.339076i
\(544\) −3.02707 −0.129784
\(545\) −17.7613 −0.760810
\(546\) 1.25567 + 0.112749i 0.0537378 + 0.00482522i
\(547\) 10.0178 0.428328 0.214164 0.976798i \(-0.431297\pi\)
0.214164 + 0.976798i \(0.431297\pi\)
\(548\) −4.30997 −0.184113
\(549\) 3.41551 + 6.79813i 0.145770 + 0.290137i
\(550\) −0.0343067 −0.00146284
\(551\) −2.43949 + 1.40844i −0.103926 + 0.0600015i
\(552\) 1.02611 3.42845i 0.0436742 0.145924i
\(553\) 1.77835 + 17.3480i 0.0756230 + 0.737714i
\(554\) −0.125709 −0.00534087
\(555\) −9.73659 41.0673i −0.413295 1.74321i
\(556\) 23.7220 13.6959i 1.00604 0.580837i
\(557\) 20.3699 + 35.2817i 0.863101 + 1.49494i 0.868920 + 0.494952i \(0.164814\pi\)
−0.00581908 + 0.999983i \(0.501852\pi\)
\(558\) 1.26934 0.637742i 0.0537356 0.0269978i
\(559\) −23.3695 10.5624i −0.988424 0.446743i
\(560\) 43.1832 4.42671i 1.82483 0.187063i
\(561\) 0.0491858 + 0.207457i 0.00207663 + 0.00875886i
\(562\) −0.579506 −0.0244450
\(563\) −18.5643 −0.782392 −0.391196 0.920307i \(-0.627939\pi\)
−0.391196 + 0.920307i \(0.627939\pi\)
\(564\) 11.0344 2.61612i 0.464630 0.110158i
\(565\) −8.79783 + 15.2383i −0.370127 + 0.641080i
\(566\) −0.881886 + 0.509157i −0.0370684 + 0.0214015i
\(567\) 0.330572 23.8095i 0.0138827 0.999904i
\(568\) −0.358202 0.620424i −0.0150298 0.0260324i
\(569\) 33.3569i 1.39839i −0.714929 0.699197i \(-0.753541\pi\)
0.714929 0.699197i \(-0.246459\pi\)
\(570\) 0.148607 0.496525i 0.00622445 0.0207971i
\(571\) 7.84265 13.5839i 0.328205 0.568467i −0.653951 0.756537i \(-0.726890\pi\)
0.982156 + 0.188070i \(0.0602232\pi\)
\(572\) −0.243010 0.109835i −0.0101608 0.00459242i
\(573\) −11.4927 12.1796i −0.480114 0.508810i
\(574\) 1.13957 + 1.57698i 0.0475648 + 0.0658220i
\(575\) 71.1735 + 41.0920i 2.96814 + 1.71366i
\(576\) −19.7044 12.9553i −0.821017 0.539803i
\(577\) −5.53173 + 9.58124i −0.230289 + 0.398872i −0.957893 0.287125i \(-0.907300\pi\)
0.727604 + 0.685997i \(0.240634\pi\)
\(578\) −0.456678 −0.0189953
\(579\) 0.227991 0.0540540i 0.00947497 0.00224641i
\(580\) 24.5259 1.01838
\(581\) 0.334628 0.746425i 0.0138827 0.0309669i
\(582\) −0.0423750 0.178731i −0.00175650 0.00740862i
\(583\) 0.327621i 0.0135687i
\(584\) 1.00880 1.74728i 0.0417442 0.0723032i
\(585\) 37.8100 23.9524i 1.56325 0.990311i
\(586\) 1.60980 0.929416i 0.0665001 0.0383938i
\(587\) −2.79781 1.61532i −0.115478 0.0666713i 0.441148 0.897434i \(-0.354571\pi\)
−0.556627 + 0.830763i \(0.687905\pi\)
\(588\) −10.2349 21.9050i −0.422079 0.903347i
\(589\) 2.94073 + 5.09349i 0.121171 + 0.209874i
\(590\) −0.430977 0.746474i −0.0177430 0.0307319i
\(591\) 18.1773 17.1522i 0.747716 0.705546i
\(592\) 23.3498i 0.959672i
\(593\) −12.3556 + 7.13353i −0.507385 + 0.292939i −0.731758 0.681564i \(-0.761300\pi\)
0.224373 + 0.974503i \(0.427967\pi\)
\(594\) 0.00502620 0.0138197i 0.000206227 0.000567027i
\(595\) −36.1452 + 3.70525i −1.48181 + 0.151900i
\(596\) 21.7990 37.7570i 0.892924 1.54659i
\(597\) −4.18275 + 13.9754i −0.171188 + 0.571975i
\(598\) −1.08781 1.51506i −0.0444837 0.0619554i
\(599\) 1.25811 + 0.726368i 0.0514049 + 0.0296786i 0.525482 0.850805i \(-0.323885\pi\)
−0.474077 + 0.880483i \(0.657218\pi\)
\(600\) −4.65413 + 4.39165i −0.190004 + 0.179288i
\(601\) −28.0645 16.2030i −1.14477 0.660936i −0.197166 0.980370i \(-0.563174\pi\)
−0.947609 + 0.319434i \(0.896507\pi\)
\(602\) −0.146428 1.42843i −0.00596797 0.0582184i
\(603\) 13.4935 + 0.783748i 0.549498 + 0.0319167i
\(604\) 10.8854 + 6.28466i 0.442919 + 0.255719i
\(605\) 45.5114i 1.85030i
\(606\) −0.228878 0.965367i −0.00929752 0.0392154i
\(607\) 21.7823 + 12.5760i 0.884116 + 0.510445i 0.872013 0.489482i \(-0.162814\pi\)
0.0121027 + 0.999927i \(0.496147\pi\)
\(608\) −0.432206 + 0.748603i −0.0175283 + 0.0303599i
\(609\) −4.47722 12.8634i −0.181426 0.521253i
\(610\) −0.800689 −0.0324190
\(611\) 4.87551 10.7871i 0.197242 0.436400i
\(612\) 16.5906 + 10.9080i 0.670634 + 0.440930i
\(613\) −9.85957 + 5.69243i −0.398224 + 0.229915i −0.685718 0.727868i \(-0.740511\pi\)
0.287493 + 0.957783i \(0.407178\pi\)
\(614\) −1.66176 −0.0670631
\(615\) 66.1741 + 19.8055i 2.66840 + 0.798633i
\(616\) −0.00304975 0.0297508i −0.000122878 0.00119869i
\(617\) 15.9634 + 27.6494i 0.642663 + 1.11312i 0.984836 + 0.173488i \(0.0555037\pi\)
−0.342173 + 0.939637i \(0.611163\pi\)
\(618\) −1.71057 + 0.405557i −0.0688092 + 0.0163139i
\(619\) −13.4393 + 23.2775i −0.540170 + 0.935601i 0.458724 + 0.888579i \(0.348307\pi\)
−0.998894 + 0.0470226i \(0.985027\pi\)
\(620\) 51.2084i 2.05658i
\(621\) −26.9804 + 22.6503i −1.08269 + 0.908924i
\(622\) 0.390966 0.677174i 0.0156763 0.0271522i
\(623\) 8.65899 19.3148i 0.346915 0.773833i
\(624\) −23.4107 + 8.06832i −0.937178 + 0.322991i
\(625\) −30.6699 53.1219i −1.22680 2.12488i
\(626\) −0.450905 + 0.260330i −0.0180218 + 0.0104049i
\(627\) 0.0583276 + 0.0174571i 0.00232938 + 0.000697169i
\(628\) −15.2412 8.79953i −0.608192 0.351140i
\(629\) 19.5443i 0.779281i
\(630\) 2.22348 + 1.15605i 0.0885855 + 0.0460582i
\(631\) −12.0820 + 6.97557i −0.480978 + 0.277693i −0.720824 0.693118i \(-0.756236\pi\)
0.239846 + 0.970811i \(0.422903\pi\)
\(632\) 1.00440 + 1.73967i 0.0399529 + 0.0692005i
\(633\) −15.0180 + 14.1710i −0.596913 + 0.563248i
\(634\) 0.667728 + 1.15654i 0.0265189 + 0.0459320i
\(635\) 49.4735i 1.96330i
\(636\) 20.9391 + 22.1906i 0.830288 + 0.879913i
\(637\) −24.6295 5.51252i −0.975856 0.218414i
\(638\) 0.00841143i 0.000333012i
\(639\) −0.408916 + 7.04016i −0.0161765 + 0.278504i
\(640\) 8.68629 5.01503i 0.343356 0.198236i
\(641\) 30.0437i 1.18665i 0.804962 + 0.593327i \(0.202186\pi\)
−0.804962 + 0.593327i \(0.797814\pi\)
\(642\) 0.303933 1.01550i 0.0119953 0.0400786i
\(643\) 19.6101 + 33.9657i 0.773346 + 1.33948i 0.935719 + 0.352746i \(0.114752\pi\)
−0.162373 + 0.986729i \(0.551915\pi\)
\(644\) −14.6326 + 32.6396i −0.576605 + 1.28618i
\(645\) −34.9863 37.0773i −1.37758 1.45992i
\(646\) 0.120002 0.207849i 0.00472141 0.00817772i
\(647\) 14.5829 + 25.2583i 0.573312 + 0.993006i 0.996223 + 0.0868348i \(0.0276752\pi\)
−0.422910 + 0.906172i \(0.638991\pi\)
\(648\) −1.08721 2.51822i −0.0427095 0.0989250i
\(649\) 0.0876896 0.0506276i 0.00344212 0.00198731i
\(650\) 0.329971 + 3.31865i 0.0129425 + 0.130168i
\(651\) −26.8580 + 9.34815i −1.05265 + 0.366383i
\(652\) −30.0040 17.3228i −1.17505 0.678413i
\(653\) 23.2693i 0.910599i 0.890338 + 0.455300i \(0.150468\pi\)
−0.890338 + 0.455300i \(0.849532\pi\)
\(654\) 0.389319 + 0.412588i 0.0152236 + 0.0161335i
\(655\) −27.0650 15.6260i −1.05752 0.610557i
\(656\) −33.0947 19.1073i −1.29213 0.746013i
\(657\) −17.7465 + 8.91617i −0.692357 + 0.347853i
\(658\) 0.659349 0.0675898i 0.0257041 0.00263493i
\(659\) −15.9875 + 9.23036i −0.622783 + 0.359564i −0.777952 0.628324i \(-0.783741\pi\)
0.155169 + 0.987888i \(0.450408\pi\)
\(660\) −0.363809 0.385553i −0.0141612 0.0150076i
\(661\) −15.0210 26.0172i −0.584251 1.01195i −0.994968 0.100189i \(-0.968055\pi\)
0.410718 0.911763i \(-0.365278\pi\)
\(662\) 0.361254 + 0.208570i 0.0140405 + 0.00810630i
\(663\) 19.5952 6.75335i 0.761016 0.262278i
\(664\) 0.0942260i 0.00365668i
\(665\) −4.24452 + 9.46787i −0.164595 + 0.367148i
\(666\) −0.740557 + 1.12635i −0.0286960 + 0.0436453i
\(667\) −10.0751 + 17.4506i −0.390109 + 0.675688i
\(668\) −26.5514 15.3295i −1.02730 0.593114i
\(669\) 0.0753241 0.0710760i 0.00291220 0.00274796i
\(670\) −0.711254 + 1.23193i −0.0274782 + 0.0475936i
\(671\) 0.0940583i 0.00363108i
\(672\) −3.16355 2.73158i −0.122037 0.105373i
\(673\) −16.3613 + 28.3386i −0.630682 + 1.09237i 0.356730 + 0.934208i \(0.383892\pi\)
−0.987412 + 0.158166i \(0.949442\pi\)
\(674\) 0.483740 0.0186330
\(675\) 62.0301 10.9529i 2.38754 0.421576i
\(676\) −8.28748 + 24.5639i −0.318749 + 0.944767i
\(677\) −10.3024 17.8443i −0.395955 0.685814i 0.597268 0.802042i \(-0.296253\pi\)
−0.993223 + 0.116228i \(0.962920\pi\)
\(678\) 0.546824 0.129646i 0.0210006 0.00497901i
\(679\) 0.374991 + 3.65809i 0.0143908 + 0.140385i
\(680\) −3.62467 + 2.09270i −0.139000 + 0.0802515i
\(681\) −5.27761 + 17.6336i −0.202239 + 0.675720i
\(682\) −0.0175625 −0.000672504
\(683\) −48.2483 −1.84617 −0.923084 0.384598i \(-0.874340\pi\)
−0.923084 + 0.384598i \(0.874340\pi\)
\(684\) 5.06639 2.54545i 0.193718 0.0973277i
\(685\) −7.74503 + 4.47159i −0.295922 + 0.170851i
\(686\) −0.426323 1.34730i −0.0162771 0.0514401i
\(687\) 5.93176 + 25.0192i 0.226311 + 0.954542i
\(688\) 14.1015 + 24.4245i 0.537615 + 0.931177i
\(689\) 31.6923 3.15115i 1.20738 0.120049i
\(690\) −0.855296 3.60749i −0.0325606 0.137335i
\(691\) 24.3234 0.925306 0.462653 0.886540i \(-0.346898\pi\)
0.462653 + 0.886540i \(0.346898\pi\)
\(692\) −4.69563 + 8.13308i −0.178501 + 0.309173i
\(693\) −0.135803 + 0.261196i −0.00515874 + 0.00992200i
\(694\) 1.90505i 0.0723146i
\(695\) 28.4190 49.2232i 1.07800 1.86714i
\(696\) −1.07676 1.14112i −0.0408144 0.0432539i
\(697\) 27.7010 + 15.9932i 1.04925 + 0.605784i
\(698\) 0.818253 1.41726i 0.0309713 0.0536439i
\(699\) 21.7816 5.16418i 0.823857 0.195327i
\(700\) 51.8401 37.4611i 1.95937 1.41590i
\(701\) 12.2026i 0.460886i −0.973086 0.230443i \(-0.925983\pi\)
0.973086 0.230443i \(-0.0740174\pi\)
\(702\) −1.38518 0.353287i −0.0522804 0.0133339i
\(703\) −4.83336 2.79054i −0.182294 0.105247i
\(704\) 0.145774 + 0.252488i 0.00549406 + 0.00951599i
\(705\) 17.1145 16.1493i 0.644571 0.608218i
\(706\) 0.380950 0.219942i 0.0143372 0.00827761i
\(707\) 2.02542 + 19.7582i 0.0761736 + 0.743085i
\(708\) 2.70369 9.03357i 0.101611 0.339502i
\(709\) 27.9659 + 16.1461i 1.05028 + 0.606380i 0.922728 0.385452i \(-0.125954\pi\)
0.127553 + 0.991832i \(0.459288\pi\)
\(710\) −0.642752 0.371093i −0.0241220 0.0139269i
\(711\) 1.14660 19.7406i 0.0430010 0.740332i
\(712\) 2.43824i 0.0913767i
\(713\) 36.4356 + 21.0361i 1.36452 + 0.787809i
\(714\) 0.878358 + 0.758423i 0.0328717 + 0.0283833i
\(715\) −0.550644 + 0.0547501i −0.0205929 + 0.00204754i
\(716\) −33.7977 + 19.5131i −1.26308 + 0.729239i
\(717\) −34.1769 10.2289i −1.27636 0.382006i
\(718\) −1.26750 2.19538i −0.0473028 0.0819309i
\(719\) −16.5334 + 28.6366i −0.616591 + 1.06797i 0.373512 + 0.927625i \(0.378153\pi\)
−0.990103 + 0.140341i \(0.955180\pi\)
\(720\) −49.1390 2.85416i −1.83130 0.106368i
\(721\) 35.0103 3.58891i 1.30385 0.133658i
\(722\) 0.690605 + 1.19616i 0.0257017 + 0.0445166i
\(723\) 6.67746 + 1.99852i 0.248338 + 0.0743258i
\(724\) 9.49574i 0.352906i
\(725\) 31.2030 18.0151i 1.15885 0.669063i
\(726\) 1.05721 0.997588i 0.0392368 0.0370240i
\(727\) 14.8456i 0.550593i 0.961359 + 0.275296i \(0.0887759\pi\)
−0.961359 + 0.275296i \(0.911224\pi\)
\(728\) −2.84860 + 0.581167i −0.105576 + 0.0215395i
\(729\) −4.67578 + 26.5920i −0.173177 + 0.984891i
\(730\) 2.09020i 0.0773617i
\(731\) −11.8032 20.4438i −0.436559 0.756142i
\(732\) −6.01149 6.37079i −0.222191 0.235471i
\(733\) −11.3305 19.6250i −0.418501 0.724865i 0.577288 0.816541i \(-0.304111\pi\)
−0.995789 + 0.0916756i \(0.970778\pi\)
\(734\) 0.680149 0.392684i 0.0251047 0.0144942i
\(735\) −41.1185 28.7447i −1.51668 1.06026i
\(736\) 6.18347i 0.227926i
\(737\) −0.144717 0.0835523i −0.00533071 0.00307769i
\(738\) −0.990430 1.97132i −0.0364582 0.0725654i
\(739\) −7.45261 + 4.30276i −0.274149 + 0.158280i −0.630771 0.775969i \(-0.717261\pi\)
0.356623 + 0.934248i \(0.383928\pi\)
\(740\) 24.2966 + 42.0829i 0.893160 + 1.54700i
\(741\) 1.12769 5.81021i 0.0414269 0.213443i
\(742\) 1.04445 + 1.44535i 0.0383429 + 0.0530603i
\(743\) 12.9957 22.5092i 0.476766 0.825783i −0.522880 0.852406i \(-0.675142\pi\)
0.999646 + 0.0266239i \(0.00847566\pi\)
\(744\) −2.38258 + 2.24820i −0.0873494 + 0.0824231i
\(745\) 90.4660i 3.31442i
\(746\) −0.153003 + 0.265009i −0.00560183 + 0.00970266i
\(747\) −0.509561 + 0.775019i −0.0186438 + 0.0283564i
\(748\) −0.122738 0.212588i −0.00448773 0.00777298i
\(749\) −8.68095 + 19.3638i −0.317195 + 0.707539i
\(750\) −1.11679 + 3.73144i −0.0407796 + 0.136253i
\(751\) −39.1164 −1.42738 −0.713689 0.700463i \(-0.752977\pi\)
−0.713689 + 0.700463i \(0.752977\pi\)
\(752\) −11.2741 + 6.50912i −0.411125 + 0.237363i
\(753\) −6.43637 27.1475i −0.234554 0.989311i
\(754\) −0.813677 + 0.0809033i −0.0296324 + 0.00294633i
\(755\) 26.0813 0.949197
\(756\) 7.49536 + 26.3709i 0.272604 + 0.959100i
\(757\) 5.12228 8.87205i 0.186172 0.322460i −0.757799 0.652489i \(-0.773725\pi\)
0.943971 + 0.330028i \(0.107058\pi\)
\(758\) 0.997272 + 0.575775i 0.0362226 + 0.0209131i
\(759\) 0.423778 0.100473i 0.0153822 0.00364694i
\(760\) 1.19519i 0.0433541i
\(761\) 37.7508 + 21.7954i 1.36846 + 0.790084i 0.990732 0.135831i \(-0.0433705\pi\)
0.377733 + 0.925915i \(0.376704\pi\)
\(762\) −1.14925 + 1.08443i −0.0416329 + 0.0392849i
\(763\) −6.65153 9.20464i −0.240802 0.333230i
\(764\) 16.6971 + 9.64009i 0.604081 + 0.348766i
\(765\) 41.1303 + 2.38899i 1.48707 + 0.0863740i
\(766\) 1.47536 + 0.851800i 0.0533070 + 0.0307768i
\(767\) −5.74086 7.99567i −0.207291 0.288707i
\(768\) 25.7797 + 7.71571i 0.930246 + 0.278417i
\(769\) −26.4972 + 45.8945i −0.955513 + 1.65500i −0.222323 + 0.974973i \(0.571364\pi\)
−0.733190 + 0.680024i \(0.761969\pi\)
\(770\) −0.0181469 0.0251124i −0.000653970 0.000904987i
\(771\) 34.7904 + 10.4125i 1.25294 + 0.374998i
\(772\) −0.233629 + 0.134886i −0.00840848 + 0.00485464i
\(773\) 2.12152i 0.0763059i 0.999272 + 0.0381529i \(0.0121474\pi\)
−0.999272 + 0.0381529i \(0.987853\pi\)
\(774\) −0.0944107 + 1.62543i −0.00339352 + 0.0584250i
\(775\) −37.6143 65.1498i −1.35114 2.34025i
\(776\) 0.211793 + 0.366836i 0.00760292 + 0.0131686i
\(777\) 17.6365 20.4255i 0.632705 0.732759i
\(778\) 0.0594630 + 0.0343310i 0.00213185 + 0.00123083i
\(779\) 7.91032 4.56702i 0.283417 0.163631i
\(780\) −33.7972 + 38.9013i −1.21013 + 1.39289i
\(781\) 0.0435929 0.0755051i 0.00155988 0.00270179i
\(782\) 1.71684i 0.0613939i
\(783\) 2.68546 + 15.2087i 0.0959706 + 0.543516i
\(784\) 18.4661 + 20.7216i 0.659503 + 0.740056i
\(785\) −36.5181 −1.30339
\(786\) 0.230266 + 0.971223i 0.00821331 + 0.0346424i
\(787\) −48.2280 −1.71914 −0.859572 0.511015i \(-0.829270\pi\)
−0.859572 + 0.511015i \(0.829270\pi\)
\(788\) −14.3873 + 24.9195i −0.512526 + 0.887721i
\(789\) −27.7501 + 6.57924i −0.987931 + 0.234227i
\(790\) 1.80228 + 1.04055i 0.0641223 + 0.0370210i
\(791\) −11.1919 + 1.14728i −0.397937 + 0.0407925i
\(792\) −0.00196635 + 0.0338539i −6.98712e−5 + 0.00120295i
\(793\) −9.09870 + 0.904677i −0.323104 + 0.0321260i
\(794\) 0.752140 1.30275i 0.0266925 0.0462327i
\(795\) 60.6502 + 18.1522i 2.15104 + 0.643793i
\(796\) 16.7956i 0.595305i
\(797\) −19.4935 33.7637i −0.690494 1.19597i −0.971676 0.236316i \(-0.924060\pi\)
0.281182 0.959654i \(-0.409273\pi\)
\(798\) 0.312973 0.108933i 0.0110791 0.00385617i
\(799\) 9.43667 5.44826i 0.333845 0.192746i
\(800\) 5.52827 9.57524i 0.195454 0.338536i
\(801\) −13.1856 + 20.0547i −0.465891 + 0.708599i
\(802\) −1.03347 −0.0364930
\(803\) 0.245539 0.00866489
\(804\) −15.1420 + 3.59000i −0.534018 + 0.126610i
\(805\) 7.56880 + 73.8348i 0.266765 + 2.60234i
\(806\) 0.168921 + 1.69891i 0.00594999 + 0.0598414i
\(807\) 50.7208 + 15.1804i 1.78546 + 0.534376i
\(808\) 1.14394 + 1.98137i 0.0402438 + 0.0697043i
\(809\) −20.2841 + 11.7110i −0.713152 + 0.411738i −0.812227 0.583342i \(-0.801745\pi\)
0.0990751 + 0.995080i \(0.468412\pi\)
\(810\) −2.27985 1.69616i −0.0801059 0.0595969i
\(811\) 32.2033 1.13081 0.565405 0.824813i \(-0.308720\pi\)
0.565405 + 0.824813i \(0.308720\pi\)
\(812\) 9.18484 + 12.7103i 0.322325 + 0.446045i
\(813\) 7.49811 + 2.24414i 0.262970 + 0.0787053i
\(814\) 0.0144328 0.00833280i 0.000505870 0.000292064i
\(815\) −71.8896 −2.51818
\(816\) −21.8362 6.53542i −0.764419 0.228785i
\(817\) −6.74110 −0.235841
\(818\) 1.36823 0.0478391
\(819\) 26.5729 + 10.6246i 0.928531 + 0.371255i
\(820\) −79.5280 −2.77724
\(821\) −7.85463 −0.274129 −0.137064 0.990562i \(-0.543767\pi\)
−0.137064 + 0.990562i \(0.543767\pi\)
\(822\) 0.273641 + 0.0818988i 0.00954431 + 0.00285655i
\(823\) −8.29841 −0.289265 −0.144632 0.989485i \(-0.546200\pi\)
−0.144632 + 0.989485i \(0.546200\pi\)
\(824\) 3.51086 2.02700i 0.122307 0.0706138i
\(825\) −0.746058 0.223290i −0.0259744 0.00777397i
\(826\) 0.225455 0.502902i 0.00784458 0.0174982i
\(827\) −41.3091 −1.43646 −0.718229 0.695807i \(-0.755047\pi\)
−0.718229 + 0.695807i \(0.755047\pi\)
\(828\) 22.2820 33.8900i 0.774354 1.17776i
\(829\) 25.8750 14.9390i 0.898677 0.518852i 0.0219064 0.999760i \(-0.493026\pi\)
0.876771 + 0.480909i \(0.159693\pi\)
\(830\) −0.0488085 0.0845388i −0.00169417 0.00293438i
\(831\) −2.73376 0.818197i −0.0948331 0.0283829i
\(832\) 23.0222 16.5299i 0.798152 0.573070i
\(833\) −15.4565 17.3444i −0.535535 0.600947i
\(834\) −1.76637 + 0.418786i −0.0611643 + 0.0145014i
\(835\) −63.6172 −2.20156
\(836\) −0.0700981 −0.00242439
\(837\) 31.7549 5.60707i 1.09761 0.193809i
\(838\) −0.122706 + 0.212533i −0.00423880 + 0.00734182i
\(839\) 21.4957 12.4106i 0.742114 0.428460i −0.0807232 0.996737i \(-0.525723\pi\)
0.822838 + 0.568277i \(0.192390\pi\)
\(840\) −5.67652 1.08379i −0.195859 0.0373945i
\(841\) −10.0830 17.4643i −0.347690 0.602217i
\(842\) 0.641262i 0.0220994i
\(843\) −12.6023 3.77180i −0.434048 0.129908i
\(844\) 11.8867 20.5884i 0.409157 0.708681i
\(845\) 10.5925 + 52.7397i 0.364392 + 1.81430i
\(846\) −0.750284 0.0435790i −0.0257953 0.00149828i
\(847\) −23.5859 + 17.0439i −0.810422 + 0.585634i
\(848\) −30.3322 17.5123i −1.04161 0.601375i
\(849\) −22.4920 + 5.33261i −0.771925 + 0.183015i
\(850\) −1.53492 + 2.65856i −0.0526473 + 0.0911879i
\(851\) −39.9236 −1.36856
\(852\) −1.87306 7.90026i −0.0641701 0.270659i
\(853\) −7.68983 −0.263295 −0.131647 0.991297i \(-0.542027\pi\)
−0.131647 + 0.991297i \(0.542027\pi\)
\(854\) −0.299855 0.414951i −0.0102608 0.0141993i
\(855\) 6.46341 9.83055i 0.221044 0.336198i
\(856\) 2.44442i 0.0835486i
\(857\) 20.6313 35.7345i 0.704753 1.22067i −0.262028 0.965060i \(-0.584391\pi\)
0.966781 0.255607i \(-0.0822754\pi\)
\(858\) 0.0133417 + 0.0115911i 0.000455477 + 0.000395715i
\(859\) −25.8881 + 14.9465i −0.883291 + 0.509968i −0.871742 0.489965i \(-0.837009\pi\)
−0.0115488 + 0.999933i \(0.503676\pi\)
\(860\) 50.8297 + 29.3466i 1.73328 + 1.00071i
\(861\) 14.5179 + 41.7112i 0.494769 + 1.42152i
\(862\) 0.946045 + 1.63860i 0.0322224 + 0.0558109i
\(863\) 2.17476 + 3.76679i 0.0740295 + 0.128223i 0.900664 0.434517i \(-0.143081\pi\)
−0.826634 + 0.562739i \(0.809747\pi\)
\(864\) 3.04723 + 3.62978i 0.103669 + 0.123488i
\(865\) 19.4869i 0.662574i
\(866\) −2.16999 + 1.25284i −0.0737392 + 0.0425733i
\(867\) −9.93123 2.97235i −0.337282 0.100946i
\(868\) 26.5383 19.1774i 0.900770 0.650922i
\(869\) −0.122235 + 0.211717i −0.00414653 + 0.00718200i
\(870\) −1.55715 0.466045i −0.0527923 0.0158004i
\(871\) −6.69048 + 14.8028i −0.226698 + 0.501572i
\(872\) −1.13289 0.654076i −0.0383646 0.0221498i
\(873\) 0.241778 4.16261i 0.00818295 0.140883i
\(874\) −0.424579 0.245131i −0.0143616 0.00829167i
\(875\) 31.8980 71.1520i 1.07835 2.40538i
\(876\) 16.6309 15.6930i 0.561907 0.530217i
\(877\) −12.7117 7.33912i −0.429244 0.247824i 0.269780 0.962922i \(-0.413049\pi\)
−0.699025 + 0.715098i \(0.746382\pi\)
\(878\) 0.799695i 0.0269884i
\(879\) 41.0570 9.73414i 1.38482 0.328325i
\(880\) 0.527012 + 0.304270i 0.0177656 + 0.0102569i
\(881\) −24.0995 + 41.7416i −0.811933 + 1.40631i 0.0995762 + 0.995030i \(0.468251\pi\)
−0.911509 + 0.411279i \(0.865082\pi\)
\(882\) 0.233570 + 1.58524i 0.00786470 + 0.0533777i
\(883\) −57.1344 −1.92273 −0.961363 0.275283i \(-0.911229\pi\)
−0.961363 + 0.275283i \(0.911229\pi\)
\(884\) −19.3841 + 13.9177i −0.651957 + 0.468103i
\(885\) −4.51379 19.0384i −0.151730 0.639970i
\(886\) −0.926342 + 0.534824i −0.0311211 + 0.0179678i
\(887\) −15.4403 −0.518436 −0.259218 0.965819i \(-0.583465\pi\)
−0.259218 + 0.965819i \(0.583465\pi\)
\(888\) 0.891300 2.97801i 0.0299101 0.0999356i
\(889\) 25.6392 18.5276i 0.859912 0.621397i
\(890\) −1.26299 2.18756i −0.0423355 0.0733273i
\(891\) 0.199250 0.267818i 0.00667514 0.00897225i
\(892\) −0.0596187 + 0.103263i −0.00199618 + 0.00345749i
\(893\) 3.11162i 0.104126i
\(894\) −2.10149 + 1.98297i −0.0702843 + 0.0663204i
\(895\) −40.4897 + 70.1302i −1.35342 + 2.34419i
\(896\) 5.85198 + 2.62349i 0.195501 + 0.0876446i
\(897\) −13.7952 40.0277i −0.460609 1.33649i
\(898\) −1.45574 2.52141i −0.0485785 0.0841405i
\(899\) 15.9737 9.22240i 0.532751 0.307584i
\(900\) −64.8032 + 32.5584i −2.16011 + 1.08528i
\(901\) 25.3887 + 14.6582i 0.845819 + 0.488334i
\(902\) 0.0272751i 0.000908160i
\(903\) 6.11281 32.0167i 0.203422 1.06545i
\(904\) −1.12233 + 0.647977i −0.0373281 + 0.0215514i
\(905\) 9.85183 + 17.0639i 0.327486 + 0.567222i
\(906\) −0.571690 0.605859i −0.0189931 0.0201283i
\(907\) 12.8992 + 22.3421i 0.428312 + 0.741857i 0.996723 0.0808868i \(-0.0257752\pi\)
−0.568412 + 0.822744i \(0.692442\pi\)
\(908\) 21.1920i 0.703282i
\(909\) 1.30590 22.4832i 0.0433140 0.745722i
\(910\) −2.25470 + 1.99697i −0.0747424 + 0.0661990i
\(911\) 36.3733i 1.20510i 0.798081 + 0.602550i \(0.205849\pi\)
−0.798081 + 0.602550i \(0.794151\pi\)
\(912\) −4.73401 + 4.46702i −0.156759 + 0.147918i
\(913\) 0.00993091 0.00573361i 0.000328665 0.000189755i
\(914\) 1.58460i 0.0524139i
\(915\) −17.4124 5.21140i −0.575635 0.172284i
\(916\) −14.8021 25.6379i −0.489074 0.847100i
\(917\) −2.03770 19.8781i −0.0672908 0.656432i
\(918\) −0.846061 1.00781i −0.0279242 0.0332626i
\(919\) 19.4501 33.6886i 0.641601 1.11129i −0.343475 0.939162i \(-0.611604\pi\)
0.985075 0.172123i \(-0.0550628\pi\)
\(920\) 4.27482 + 7.40421i 0.140937 + 0.244109i
\(921\) −36.1378 10.8158i −1.19078 0.356393i
\(922\) −0.640638 + 0.369873i −0.0210983 + 0.0121811i
\(923\) −7.72325 3.49072i −0.254214 0.114898i
\(924\) 0.0635648 0.332929i 0.00209113 0.0109526i
\(925\) 61.8226 + 35.6933i 2.03271 + 1.17359i
\(926\) 0.246559i 0.00810243i
\(927\) −39.8389 2.31398i −1.30848 0.0760009i
\(928\) 2.34769 + 1.35544i 0.0770667 + 0.0444945i
\(929\) 14.2002 + 8.19850i 0.465894 + 0.268984i 0.714519 0.699616i \(-0.246645\pi\)
−0.248625 + 0.968600i \(0.579979\pi\)
\(930\) −0.973071 + 3.25123i −0.0319083 + 0.106612i
\(931\) −6.49620 + 1.34600i −0.212904 + 0.0441132i
\(932\) −22.3203 + 12.8866i −0.731125 + 0.422115i
\(933\) 12.9097 12.1816i 0.422645 0.398809i
\(934\) −1.34446 2.32867i −0.0439921 0.0761966i
\(935\) −0.441119 0.254680i −0.0144261 0.00832894i
\(936\) 3.29376 0.135402i 0.107660 0.00442574i
\(937\) 31.0278i 1.01364i −0.862053 0.506818i \(-0.830822\pi\)
0.862053 0.506818i \(-0.169178\pi\)
\(938\) −0.904799 + 0.0927509i −0.0295427 + 0.00302843i
\(939\) −11.5001 + 2.72654i −0.375291 + 0.0889773i
\(940\) −13.5461 + 23.4625i −0.441824 + 0.765262i
\(941\) 35.2269 + 20.3383i 1.14837 + 0.663009i 0.948488 0.316812i \(-0.102612\pi\)
0.199877 + 0.979821i \(0.435946\pi\)
\(942\) 0.800458 + 0.848300i 0.0260803 + 0.0276391i
\(943\) 32.6696 56.5855i 1.06387 1.84268i
\(944\) 10.8248i 0.352316i
\(945\) 40.8290 + 39.6121i 1.32817 + 1.28858i
\(946\) 0.0100647 0.0174327i 0.000327233 0.000566785i
\(947\) 54.3803 1.76712 0.883561 0.468316i \(-0.155139\pi\)
0.883561 + 0.468316i \(0.155139\pi\)
\(948\) 5.25208 + 22.1524i 0.170580 + 0.719476i
\(949\) −2.36166 23.7521i −0.0766627 0.771027i
\(950\) 0.438314 + 0.759181i 0.0142208 + 0.0246311i
\(951\) 6.99338 + 29.4969i 0.226776 + 0.956503i
\(952\) −2.44195 1.09475i −0.0791441 0.0354809i
\(953\) −25.4462 + 14.6914i −0.824283 + 0.475900i −0.851891 0.523719i \(-0.824544\pi\)
0.0276082 + 0.999619i \(0.491211\pi\)
\(954\) −0.907755 1.80677i −0.0293896 0.0584963i
\(955\) 40.0064 1.29458
\(956\) 41.0738 1.32842
\(957\) 0.0547470 0.182921i 0.00176972 0.00591299i
\(958\) −0.314005 + 0.181291i −0.0101450 + 0.00585724i
\(959\) −5.21785 2.33920i −0.168493 0.0755368i
\(960\) 54.8180 12.9967i 1.76924 0.419468i
\(961\) −3.75577 6.50518i −0.121154 0.209844i
\(962\) −0.944889 1.31601i −0.0304644 0.0424298i
\(963\) 13.2191 20.1056i 0.425979 0.647894i
\(964\) −8.02498 −0.258467
\(965\) −0.279888 + 0.484780i −0.00900990 + 0.0156056i
\(966\) 1.54925 1.79424i 0.0498463 0.0577288i
\(967\) 35.7250i 1.14884i 0.818561 + 0.574419i \(0.194772\pi\)
−0.818561 + 0.574419i \(0.805228\pi\)
\(968\) −1.67600 + 2.90292i −0.0538687 + 0.0933033i
\(969\) 3.96246 3.73899i 0.127293 0.120114i
\(970\) 0.380037 + 0.219415i 0.0122023 + 0.00704498i
\(971\) 26.6384 46.1391i 0.854867 1.48067i −0.0219012 0.999760i \(-0.506972\pi\)
0.876768 0.480913i \(-0.159695\pi\)
\(972\) −3.62119 30.8745i −0.116150 0.990301i
\(973\) 36.1523 3.70598i 1.15899 0.118808i
\(974\) 1.92581i 0.0617069i
\(975\) −14.4241 + 74.3173i −0.461942 + 2.38006i
\(976\) 8.70821 + 5.02769i 0.278743 + 0.160932i
\(977\) −29.8372 51.6796i −0.954578 1.65338i −0.735332 0.677707i \(-0.762974\pi\)
−0.219246 0.975670i \(-0.570360\pi\)
\(978\) 1.57578 + 1.66997i 0.0503880 + 0.0533997i
\(979\) 0.256977 0.148366i 0.00821301 0.00474179i
\(980\) 54.8428 + 18.1313i 1.75189 + 0.579182i
\(981\) 5.78101 + 11.5064i 0.184573 + 0.367370i
\(982\) −0.830681 0.479594i −0.0265081 0.0153044i
\(983\) 14.4910 + 8.36638i 0.462191 + 0.266846i 0.712965 0.701199i \(-0.247352\pi\)
−0.250774 + 0.968046i \(0.580685\pi\)
\(984\) 3.49152 + 3.70020i 0.111306 + 0.117958i
\(985\) 59.7072i 1.90243i
\(986\) −0.651835 0.376337i −0.0207587 0.0119850i
\(987\) 14.7786 + 2.82161i 0.470407 + 0.0898129i
\(988\) 0.674222 + 6.78092i 0.0214499 + 0.215730i
\(989\) −41.7611 + 24.1108i −1.32793 + 0.766679i
\(990\) 0.0157719 + 0.0313920i 0.000501265 + 0.000997703i
\(991\) 1.12563 + 1.94965i 0.0357568 + 0.0619326i 0.883350 0.468714i \(-0.155283\pi\)
−0.847593 + 0.530647i \(0.821949\pi\)
\(992\) 2.83007 4.90183i 0.0898548 0.155633i
\(993\) 6.49857 + 6.88698i 0.206226 + 0.218552i
\(994\) −0.0483923 0.472074i −0.00153491 0.0149733i
\(995\) −17.4255 30.1818i −0.552424 0.956827i
\(996\) 0.306195 1.02306i 0.00970216 0.0324169i
\(997\) 54.6206i 1.72985i −0.501900 0.864925i \(-0.667366\pi\)
0.501900 0.864925i \(-0.332634\pi\)
\(998\) 1.51108 0.872422i 0.0478324 0.0276160i
\(999\) −23.4357 + 19.6744i −0.741473 + 0.622472i
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 273.2.br.b.17.17 yes 64
3.2 odd 2 inner 273.2.br.b.17.16 yes 64
7.5 odd 6 273.2.y.b.173.16 yes 64
13.10 even 6 273.2.y.b.101.17 yes 64
21.5 even 6 273.2.y.b.173.17 yes 64
39.23 odd 6 273.2.y.b.101.16 64
91.75 odd 6 inner 273.2.br.b.257.16 yes 64
273.257 even 6 inner 273.2.br.b.257.17 yes 64
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
273.2.y.b.101.16 64 39.23 odd 6
273.2.y.b.101.17 yes 64 13.10 even 6
273.2.y.b.173.16 yes 64 7.5 odd 6
273.2.y.b.173.17 yes 64 21.5 even 6
273.2.br.b.17.16 yes 64 3.2 odd 2 inner
273.2.br.b.17.17 yes 64 1.1 even 1 trivial
273.2.br.b.257.16 yes 64 91.75 odd 6 inner
273.2.br.b.257.17 yes 64 273.257 even 6 inner