Properties

Label 273.2.bt.a.145.9
Level $273$
Weight $2$
Character 273.145
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [273,2,Mod(136,273)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(273, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([0, 2, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("273.136");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bt (of order \(12\), degree \(4\), 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: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 145.9
Character \(\chi\) \(=\) 273.145
Dual form 273.2.bt.a.241.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.92842 - 1.92842i) q^{2} +(-0.866025 - 0.500000i) q^{3} -5.43762i q^{4} +(-3.41458 + 0.914933i) q^{5} +(-2.63427 + 0.705851i) q^{6} +(2.45097 - 0.996354i) q^{7} +(-6.62917 - 6.62917i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(1.92842 - 1.92842i) q^{2} +(-0.866025 - 0.500000i) q^{3} -5.43762i q^{4} +(-3.41458 + 0.914933i) q^{5} +(-2.63427 + 0.705851i) q^{6} +(2.45097 - 0.996354i) q^{7} +(-6.62917 - 6.62917i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-4.82036 + 8.34912i) q^{10} +(-0.426935 + 0.114397i) q^{11} +(-2.71881 + 4.70911i) q^{12} +(3.60449 - 0.0874303i) q^{13} +(2.80512 - 6.64790i) q^{14} +(3.41458 + 0.914933i) q^{15} -14.6924 q^{16} +1.43104 q^{17} +(2.63427 + 0.705851i) q^{18} +(0.340943 - 1.27242i) q^{19} +(4.97505 + 18.5671i) q^{20} +(-2.62078 - 0.362619i) q^{21} +(-0.602706 + 1.04392i) q^{22} -7.18790i q^{23} +(2.42644 + 9.05561i) q^{24} +(6.49210 - 3.74822i) q^{25} +(6.78237 - 7.11958i) q^{26} -1.00000i q^{27} +(-5.41779 - 13.3275i) q^{28} +(3.82097 + 6.61812i) q^{29} +(8.34912 - 4.82036i) q^{30} +(0.187215 - 0.698697i) q^{31} +(-15.0748 + 15.0748i) q^{32} +(0.426935 + 0.114397i) q^{33} +(2.75965 - 2.75965i) q^{34} +(-7.45744 + 5.64460i) q^{35} +(4.70911 - 2.71881i) q^{36} +(0.719109 + 0.719109i) q^{37} +(-1.79627 - 3.11123i) q^{38} +(-3.16530 - 1.72653i) q^{39} +(28.7010 + 16.5706i) q^{40} +(-0.748673 + 2.79409i) q^{41} +(-5.75326 + 4.35469i) q^{42} +(7.20261 + 4.15843i) q^{43} +(0.622047 + 2.32151i) q^{44} +(-2.49964 - 2.49964i) q^{45} +(-13.8613 - 13.8613i) q^{46} +(0.242840 + 0.906290i) q^{47} +(12.7240 + 7.34621i) q^{48} +(5.01456 - 4.88408i) q^{49} +(5.29136 - 19.7476i) q^{50} +(-1.23932 - 0.715520i) q^{51} +(-0.475412 - 19.5998i) q^{52} +(2.48381 + 4.30208i) q^{53} +(-1.92842 - 1.92842i) q^{54} +(1.35314 - 0.781234i) q^{55} +(-22.8529 - 9.64293i) q^{56} +(-0.931473 + 0.931473i) q^{57} +(20.1310 + 5.39408i) q^{58} +(-2.29996 + 2.29996i) q^{59} +(4.97505 - 18.5671i) q^{60} +(-11.2736 + 6.50883i) q^{61} +(-0.986352 - 1.70841i) q^{62} +(2.08836 + 1.62443i) q^{63} +28.7565i q^{64} +(-12.2278 + 3.59640i) q^{65} +(1.04392 - 0.602706i) q^{66} +(1.64481 + 6.13851i) q^{67} -7.78144i q^{68} +(-3.59395 + 6.22490i) q^{69} +(-3.49591 + 25.2663i) q^{70} +(0.487730 + 1.82023i) q^{71} +(2.42644 - 9.05561i) q^{72} +(-12.2890 - 3.29282i) q^{73} +2.77349 q^{74} -7.49643 q^{75} +(-6.91890 - 1.85391i) q^{76} +(-0.932428 + 0.705763i) q^{77} +(-9.43350 + 2.77455i) q^{78} +(-1.77054 + 3.06666i) q^{79} +(50.1684 - 13.4426i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(3.94442 + 6.83193i) q^{82} +(2.33307 + 2.33307i) q^{83} +(-1.97178 + 14.2508i) q^{84} +(-4.88639 + 1.30931i) q^{85} +(21.9089 - 5.87046i) q^{86} -7.64195i q^{87} +(3.58858 + 2.07187i) q^{88} +(7.39789 - 7.39789i) q^{89} -9.64073 q^{90} +(8.74741 - 3.80564i) q^{91} -39.0850 q^{92} +(-0.511482 + 0.511482i) q^{93} +(2.21601 + 1.27941i) q^{94} +4.65670i q^{95} +(20.5926 - 5.51778i) q^{96} +(-2.51514 + 0.673929i) q^{97} +(0.251615 - 19.0887i) q^{98} +(-0.312538 - 0.312538i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36 q + 6 q^{7} + 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 36 q + 6 q^{7} + 18 q^{9} - 8 q^{11} - 16 q^{12} + 42 q^{14} - 24 q^{16} - 8 q^{17} - 18 q^{19} + 14 q^{20} - 4 q^{21} + 4 q^{22} + 18 q^{24} + 24 q^{25} - 50 q^{26} + 34 q^{28} + 8 q^{29} + 6 q^{31} - 50 q^{32} + 8 q^{33} - 24 q^{34} + 14 q^{35} - 14 q^{37} - 8 q^{38} - 2 q^{39} - 30 q^{40} + 34 q^{41} - 18 q^{42} + 30 q^{43} + 28 q^{44} - 32 q^{46} - 10 q^{47} + 24 q^{48} + 6 q^{49} - 20 q^{50} - 24 q^{51} + 4 q^{52} - 8 q^{53} - 30 q^{55} - 92 q^{56} - 24 q^{57} + 72 q^{58} - 70 q^{59} + 14 q^{60} - 60 q^{61} - 48 q^{62} + 6 q^{63} - 44 q^{65} + 18 q^{66} - 46 q^{67} + 4 q^{69} + 80 q^{70} + 42 q^{71} + 18 q^{72} - 56 q^{73} + 40 q^{74} - 20 q^{75} + 12 q^{76} + 24 q^{77} - 16 q^{78} + 170 q^{80} - 18 q^{81} + 24 q^{82} - 60 q^{83} + 2 q^{85} + 12 q^{86} + 84 q^{88} + 64 q^{89} - 86 q^{91} - 100 q^{92} + 12 q^{93} - 66 q^{94} + 46 q^{96} + 36 q^{97} - 22 q^{98} - 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.92842 1.92842i 1.36360 1.36360i 0.494319 0.869281i \(-0.335417\pi\)
0.869281 0.494319i \(-0.164583\pi\)
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) 5.43762i 2.71881i
\(5\) −3.41458 + 0.914933i −1.52704 + 0.409170i −0.922054 0.387062i \(-0.873490\pi\)
−0.604991 + 0.796232i \(0.706823\pi\)
\(6\) −2.63427 + 0.705851i −1.07544 + 0.288162i
\(7\) 2.45097 0.996354i 0.926381 0.376587i
\(8\) −6.62917 6.62917i −2.34377 2.34377i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) −4.82036 + 8.34912i −1.52433 + 2.64022i
\(11\) −0.426935 + 0.114397i −0.128726 + 0.0344920i −0.322607 0.946533i \(-0.604559\pi\)
0.193881 + 0.981025i \(0.437892\pi\)
\(12\) −2.71881 + 4.70911i −0.784852 + 1.35940i
\(13\) 3.60449 0.0874303i 0.999706 0.0242488i
\(14\) 2.80512 6.64790i 0.749700 1.77673i
\(15\) 3.41458 + 0.914933i 0.881640 + 0.236235i
\(16\) −14.6924 −3.67311
\(17\) 1.43104 0.347078 0.173539 0.984827i \(-0.444480\pi\)
0.173539 + 0.984827i \(0.444480\pi\)
\(18\) 2.63427 + 0.705851i 0.620904 + 0.166371i
\(19\) 0.340943 1.27242i 0.0782176 0.291912i −0.915726 0.401803i \(-0.868384\pi\)
0.993944 + 0.109891i \(0.0350502\pi\)
\(20\) 4.97505 + 18.5671i 1.11246 + 4.15174i
\(21\) −2.62078 0.362619i −0.571902 0.0791300i
\(22\) −0.602706 + 1.04392i −0.128497 + 0.222564i
\(23\) 7.18790i 1.49878i −0.662129 0.749390i \(-0.730347\pi\)
0.662129 0.749390i \(-0.269653\pi\)
\(24\) 2.42644 + 9.05561i 0.495296 + 1.84847i
\(25\) 6.49210 3.74822i 1.29842 0.749643i
\(26\) 6.78237 7.11958i 1.33013 1.39626i
\(27\) 1.00000i 0.192450i
\(28\) −5.41779 13.3275i −1.02387 2.51865i
\(29\) 3.82097 + 6.61812i 0.709537 + 1.22895i 0.965029 + 0.262143i \(0.0844291\pi\)
−0.255492 + 0.966811i \(0.582238\pi\)
\(30\) 8.34912 4.82036i 1.52433 0.880074i
\(31\) 0.187215 0.698697i 0.0336249 0.125490i −0.947073 0.321017i \(-0.895975\pi\)
0.980698 + 0.195528i \(0.0626419\pi\)
\(32\) −15.0748 + 15.0748i −2.66488 + 2.66488i
\(33\) 0.426935 + 0.114397i 0.0743199 + 0.0199140i
\(34\) 2.75965 2.75965i 0.473276 0.473276i
\(35\) −7.45744 + 5.64460i −1.26054 + 0.954112i
\(36\) 4.70911 2.71881i 0.784852 0.453135i
\(37\) 0.719109 + 0.719109i 0.118221 + 0.118221i 0.763742 0.645521i \(-0.223360\pi\)
−0.645521 + 0.763742i \(0.723360\pi\)
\(38\) −1.79627 3.11123i −0.291394 0.504709i
\(39\) −3.16530 1.72653i −0.506853 0.276466i
\(40\) 28.7010 + 16.5706i 4.53803 + 2.62003i
\(41\) −0.748673 + 2.79409i −0.116923 + 0.436363i −0.999424 0.0339485i \(-0.989192\pi\)
0.882500 + 0.470312i \(0.155858\pi\)
\(42\) −5.75326 + 4.35469i −0.887747 + 0.671944i
\(43\) 7.20261 + 4.15843i 1.09839 + 0.634155i 0.935797 0.352539i \(-0.114682\pi\)
0.162591 + 0.986694i \(0.448015\pi\)
\(44\) 0.622047 + 2.32151i 0.0937771 + 0.349981i
\(45\) −2.49964 2.49964i −0.372625 0.372625i
\(46\) −13.8613 13.8613i −2.04374 2.04374i
\(47\) 0.242840 + 0.906290i 0.0354218 + 0.132196i 0.981373 0.192114i \(-0.0615345\pi\)
−0.945951 + 0.324310i \(0.894868\pi\)
\(48\) 12.7240 + 7.34621i 1.83655 + 1.06033i
\(49\) 5.01456 4.88408i 0.716365 0.697726i
\(50\) 5.29136 19.7476i 0.748312 2.79274i
\(51\) −1.23932 0.715520i −0.173539 0.100193i
\(52\) −0.475412 19.5998i −0.0659278 2.71801i
\(53\) 2.48381 + 4.30208i 0.341177 + 0.590936i 0.984652 0.174531i \(-0.0558411\pi\)
−0.643474 + 0.765468i \(0.722508\pi\)
\(54\) −1.92842 1.92842i −0.262425 0.262425i
\(55\) 1.35314 0.781234i 0.182457 0.105342i
\(56\) −22.8529 9.64293i −3.05385 1.28859i
\(57\) −0.931473 + 0.931473i −0.123377 + 0.123377i
\(58\) 20.1310 + 5.39408i 2.64332 + 0.708277i
\(59\) −2.29996 + 2.29996i −0.299429 + 0.299429i −0.840790 0.541361i \(-0.817909\pi\)
0.541361 + 0.840790i \(0.317909\pi\)
\(60\) 4.97505 18.5671i 0.642277 2.39701i
\(61\) −11.2736 + 6.50883i −1.44344 + 0.833370i −0.998077 0.0619805i \(-0.980258\pi\)
−0.445362 + 0.895351i \(0.646925\pi\)
\(62\) −0.986352 1.70841i −0.125267 0.216969i
\(63\) 2.08836 + 1.62443i 0.263108 + 0.204659i
\(64\) 28.7565i 3.59456i
\(65\) −12.2278 + 3.59640i −1.51667 + 0.446079i
\(66\) 1.04392 0.602706i 0.128497 0.0741879i
\(67\) 1.64481 + 6.13851i 0.200945 + 0.749939i 0.990647 + 0.136448i \(0.0435686\pi\)
−0.789702 + 0.613491i \(0.789765\pi\)
\(68\) 7.78144i 0.943639i
\(69\) −3.59395 + 6.22490i −0.432661 + 0.749390i
\(70\) −3.49591 + 25.2663i −0.417842 + 3.01990i
\(71\) 0.487730 + 1.82023i 0.0578829 + 0.216022i 0.988809 0.149185i \(-0.0476649\pi\)
−0.930926 + 0.365207i \(0.880998\pi\)
\(72\) 2.42644 9.05561i 0.285959 1.06721i
\(73\) −12.2890 3.29282i −1.43832 0.385396i −0.546373 0.837542i \(-0.683992\pi\)
−0.891944 + 0.452146i \(0.850659\pi\)
\(74\) 2.77349 0.322412
\(75\) −7.49643 −0.865613
\(76\) −6.91890 1.85391i −0.793653 0.212659i
\(77\) −0.932428 + 0.705763i −0.106260 + 0.0804292i
\(78\) −9.43350 + 2.77455i −1.06813 + 0.314156i
\(79\) −1.77054 + 3.06666i −0.199201 + 0.345026i −0.948270 0.317466i \(-0.897168\pi\)
0.749069 + 0.662493i \(0.230501\pi\)
\(80\) 50.1684 13.4426i 5.60900 1.50293i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) 3.94442 + 6.83193i 0.435588 + 0.754461i
\(83\) 2.33307 + 2.33307i 0.256087 + 0.256087i 0.823461 0.567373i \(-0.192040\pi\)
−0.567373 + 0.823461i \(0.692040\pi\)
\(84\) −1.97178 + 14.2508i −0.215139 + 1.55489i
\(85\) −4.88639 + 1.30931i −0.530004 + 0.142014i
\(86\) 21.9089 5.87046i 2.36249 0.633028i
\(87\) 7.64195i 0.819303i
\(88\) 3.58858 + 2.07187i 0.382544 + 0.220862i
\(89\) 7.39789 7.39789i 0.784175 0.784175i −0.196357 0.980532i \(-0.562911\pi\)
0.980532 + 0.196357i \(0.0629113\pi\)
\(90\) −9.64073 −1.01622
\(91\) 8.74741 3.80564i 0.916977 0.398939i
\(92\) −39.0850 −4.07489
\(93\) −0.511482 + 0.511482i −0.0530382 + 0.0530382i
\(94\) 2.21601 + 1.27941i 0.228563 + 0.131961i
\(95\) 4.65670i 0.477767i
\(96\) 20.5926 5.51778i 2.10173 0.563156i
\(97\) −2.51514 + 0.673929i −0.255373 + 0.0684271i −0.384234 0.923236i \(-0.625535\pi\)
0.128861 + 0.991663i \(0.458868\pi\)
\(98\) 0.251615 19.0887i 0.0254170 1.92825i
\(99\) −0.312538 0.312538i −0.0314113 0.0314113i
\(100\) −20.3814 35.3015i −2.03814 3.53015i
\(101\) 0.722867 1.25204i 0.0719279 0.124583i −0.827818 0.560996i \(-0.810418\pi\)
0.899746 + 0.436413i \(0.143752\pi\)
\(102\) −3.76975 + 1.01010i −0.373261 + 0.100015i
\(103\) 6.70272 11.6095i 0.660439 1.14391i −0.320061 0.947397i \(-0.603704\pi\)
0.980500 0.196517i \(-0.0629631\pi\)
\(104\) −24.4744 23.3152i −2.39991 2.28624i
\(105\) 9.28064 1.15965i 0.905697 0.113170i
\(106\) 13.0860 + 3.50640i 1.27103 + 0.340571i
\(107\) 1.88975 0.182689 0.0913447 0.995819i \(-0.470883\pi\)
0.0913447 + 0.995819i \(0.470883\pi\)
\(108\) −5.43762 −0.523235
\(109\) 7.12442 + 1.90898i 0.682396 + 0.182847i 0.583332 0.812234i \(-0.301749\pi\)
0.0990637 + 0.995081i \(0.468415\pi\)
\(110\) 1.10287 4.11597i 0.105155 0.392442i
\(111\) −0.263212 0.982321i −0.0249830 0.0932378i
\(112\) −36.0108 + 14.6389i −3.40270 + 1.38324i
\(113\) −3.09382 + 5.35865i −0.291042 + 0.504100i −0.974056 0.226305i \(-0.927335\pi\)
0.683014 + 0.730405i \(0.260669\pi\)
\(114\) 3.59254i 0.336472i
\(115\) 6.57644 + 24.5436i 0.613256 + 2.28870i
\(116\) 35.9868 20.7770i 3.34129 1.92909i
\(117\) 1.87796 + 3.07787i 0.173618 + 0.284549i
\(118\) 8.87058i 0.816603i
\(119\) 3.50744 1.42582i 0.321527 0.130705i
\(120\) −16.5706 28.7010i −1.51268 2.62003i
\(121\) −9.35709 + 5.40232i −0.850645 + 0.491120i
\(122\) −9.18853 + 34.2921i −0.831890 + 3.10466i
\(123\) 2.04541 2.04541i 0.184429 0.184429i
\(124\) −3.79925 1.01800i −0.341182 0.0914195i
\(125\) −6.24018 + 6.24018i −0.558139 + 0.558139i
\(126\) 7.15981 0.894645i 0.637847 0.0797013i
\(127\) 5.90231 3.40770i 0.523745 0.302384i −0.214721 0.976676i \(-0.568884\pi\)
0.738466 + 0.674291i \(0.235551\pi\)
\(128\) 25.3048 + 25.3048i 2.23665 + 2.23665i
\(129\) −4.15843 7.20261i −0.366129 0.634155i
\(130\) −16.6450 + 30.5158i −1.45986 + 2.67641i
\(131\) −3.17967 1.83578i −0.277809 0.160393i 0.354622 0.935010i \(-0.384610\pi\)
−0.632431 + 0.774617i \(0.717943\pi\)
\(132\) 0.622047 2.32151i 0.0541422 0.202062i
\(133\) −0.432135 3.45836i −0.0374708 0.299878i
\(134\) 15.0095 + 8.66575i 1.29662 + 0.748607i
\(135\) 0.914933 + 3.41458i 0.0787449 + 0.293880i
\(136\) −9.48660 9.48660i −0.813470 0.813470i
\(137\) −5.57408 5.57408i −0.476225 0.476225i 0.427697 0.903922i \(-0.359325\pi\)
−0.903922 + 0.427697i \(0.859325\pi\)
\(138\) 5.07358 + 18.9349i 0.431892 + 1.61184i
\(139\) 10.3222 + 5.95952i 0.875517 + 0.505480i 0.869178 0.494500i \(-0.164649\pi\)
0.00633943 + 0.999980i \(0.497982\pi\)
\(140\) 30.6932 + 40.5507i 2.59405 + 3.42716i
\(141\) 0.242840 0.906290i 0.0204508 0.0763234i
\(142\) 4.45073 + 2.56963i 0.373497 + 0.215638i
\(143\) −1.52888 + 0.449670i −0.127852 + 0.0376033i
\(144\) −7.34621 12.7240i −0.612184 1.06033i
\(145\) −19.1021 19.1021i −1.58635 1.58635i
\(146\) −30.0483 + 17.3484i −2.48681 + 1.43576i
\(147\) −6.78477 + 1.72246i −0.559599 + 0.142066i
\(148\) 3.91024 3.91024i 0.321420 0.321420i
\(149\) −21.0304 5.63507i −1.72287 0.461643i −0.744353 0.667787i \(-0.767242\pi\)
−0.978522 + 0.206144i \(0.933909\pi\)
\(150\) −14.4563 + 14.4563i −1.18035 + 1.18035i
\(151\) −3.61340 + 13.4854i −0.294054 + 1.09742i 0.647912 + 0.761715i \(0.275643\pi\)
−0.941966 + 0.335709i \(0.891024\pi\)
\(152\) −10.6952 + 6.17489i −0.867497 + 0.500850i
\(153\) 0.715520 + 1.23932i 0.0578464 + 0.100193i
\(154\) −0.437105 + 3.15912i −0.0352230 + 0.254569i
\(155\) 2.55704i 0.205387i
\(156\) −9.38820 + 17.2117i −0.751657 + 1.37804i
\(157\) 12.9689 7.48759i 1.03503 0.597574i 0.116608 0.993178i \(-0.462798\pi\)
0.918421 + 0.395604i \(0.129465\pi\)
\(158\) 2.49947 + 9.32816i 0.198847 + 0.742108i
\(159\) 4.96761i 0.393957i
\(160\) 37.6817 65.2667i 2.97900 5.15978i
\(161\) −7.16169 17.6174i −0.564420 1.38844i
\(162\) 0.705851 + 2.63427i 0.0554569 + 0.206968i
\(163\) −2.28941 + 8.54420i −0.179320 + 0.669233i 0.816455 + 0.577409i \(0.195936\pi\)
−0.995775 + 0.0918237i \(0.970730\pi\)
\(164\) 15.1932 + 4.07100i 1.18639 + 0.317891i
\(165\) −1.56247 −0.121638
\(166\) 8.99827 0.698401
\(167\) −0.331336 0.0887813i −0.0256396 0.00687010i 0.245976 0.969276i \(-0.420891\pi\)
−0.271616 + 0.962406i \(0.587558\pi\)
\(168\) 14.9698 + 19.7775i 1.15494 + 1.52587i
\(169\) 12.9847 0.630284i 0.998824 0.0484833i
\(170\) −6.89813 + 11.9479i −0.529063 + 0.916363i
\(171\) 1.27242 0.340943i 0.0973040 0.0260725i
\(172\) 22.6119 39.1650i 1.72414 2.98631i
\(173\) 4.62536 + 8.01137i 0.351660 + 0.609093i 0.986540 0.163517i \(-0.0522840\pi\)
−0.634880 + 0.772610i \(0.718951\pi\)
\(174\) −14.7369 14.7369i −1.11720 1.11720i
\(175\) 12.1774 15.6552i 0.920527 1.18342i
\(176\) 6.27272 1.68077i 0.472824 0.126693i
\(177\) 3.14180 0.841844i 0.236152 0.0632769i
\(178\) 28.5325i 2.13860i
\(179\) −12.6486 7.30269i −0.945403 0.545829i −0.0537533 0.998554i \(-0.517118\pi\)
−0.891650 + 0.452725i \(0.850452\pi\)
\(180\) −13.5921 + 13.5921i −1.01310 + 1.01310i
\(181\) −8.63806 −0.642062 −0.321031 0.947069i \(-0.604029\pi\)
−0.321031 + 0.947069i \(0.604029\pi\)
\(182\) 9.52981 24.2076i 0.706396 1.79438i
\(183\) 13.0177 0.962293
\(184\) −47.6498 + 47.6498i −3.51279 + 3.51279i
\(185\) −3.11339 1.79752i −0.228901 0.132156i
\(186\) 1.97270i 0.144646i
\(187\) −0.610962 + 0.163707i −0.0446779 + 0.0119714i
\(188\) 4.92806 1.32047i 0.359415 0.0963051i
\(189\) −0.996354 2.45097i −0.0724741 0.178282i
\(190\) 8.98007 + 8.98007i 0.651483 + 0.651483i
\(191\) 3.52411 + 6.10394i 0.254996 + 0.441666i 0.964894 0.262638i \(-0.0845925\pi\)
−0.709899 + 0.704304i \(0.751259\pi\)
\(192\) 14.3782 24.9038i 1.03766 1.79728i
\(193\) −22.3236 + 5.98160i −1.60689 + 0.430565i −0.947114 0.320897i \(-0.896016\pi\)
−0.659776 + 0.751462i \(0.729349\pi\)
\(194\) −3.55062 + 6.14986i −0.254920 + 0.441534i
\(195\) 12.3878 + 2.99933i 0.887109 + 0.214786i
\(196\) −26.5577 27.2672i −1.89698 1.94766i
\(197\) −18.7705 5.02954i −1.33734 0.358340i −0.481895 0.876229i \(-0.660051\pi\)
−0.855448 + 0.517889i \(0.826718\pi\)
\(198\) −1.20541 −0.0856649
\(199\) 17.8108 1.26257 0.631285 0.775551i \(-0.282528\pi\)
0.631285 + 0.775551i \(0.282528\pi\)
\(200\) −67.8848 18.1897i −4.80018 1.28620i
\(201\) 1.64481 6.13851i 0.116016 0.432977i
\(202\) −1.02047 3.80846i −0.0718002 0.267962i
\(203\) 15.9591 + 12.4138i 1.12011 + 0.871278i
\(204\) −3.89072 + 6.73893i −0.272405 + 0.471819i
\(205\) 10.2256i 0.714187i
\(206\) −9.46225 35.3136i −0.659266 2.46041i
\(207\) 6.22490 3.59395i 0.432661 0.249797i
\(208\) −52.9587 + 1.28456i −3.67203 + 0.0890685i
\(209\) 0.582242i 0.0402745i
\(210\) 15.6607 20.1333i 1.08069 1.38933i
\(211\) −5.03848 8.72690i −0.346863 0.600785i 0.638827 0.769350i \(-0.279420\pi\)
−0.985690 + 0.168565i \(0.946087\pi\)
\(212\) 23.3931 13.5060i 1.60664 0.927595i
\(213\) 0.487730 1.82023i 0.0334187 0.124720i
\(214\) 3.64424 3.64424i 0.249115 0.249115i
\(215\) −28.3985 7.60937i −1.93676 0.518955i
\(216\) −6.62917 + 6.62917i −0.451058 + 0.451058i
\(217\) −0.237290 1.89902i −0.0161083 0.128914i
\(218\) 17.4202 10.0576i 1.17985 0.681184i
\(219\) 8.99616 + 8.99616i 0.607904 + 0.607904i
\(220\) −4.24805 7.35784i −0.286404 0.496066i
\(221\) 5.15817 0.125116i 0.346976 0.00841623i
\(222\) −2.40191 1.38674i −0.161206 0.0930722i
\(223\) 0.246185 0.918774i 0.0164857 0.0615256i −0.957193 0.289451i \(-0.906527\pi\)
0.973679 + 0.227925i \(0.0731941\pi\)
\(224\) −21.9282 + 51.9680i −1.46514 + 3.47226i
\(225\) 6.49210 + 3.74822i 0.432807 + 0.249881i
\(226\) 4.36755 + 16.2999i 0.290525 + 1.08425i
\(227\) 17.3431 + 17.3431i 1.15110 + 1.15110i 0.986333 + 0.164766i \(0.0526870\pi\)
0.164766 + 0.986333i \(0.447313\pi\)
\(228\) 5.06499 + 5.06499i 0.335437 + 0.335437i
\(229\) −5.33978 19.9283i −0.352863 1.31690i −0.883153 0.469085i \(-0.844584\pi\)
0.530290 0.847816i \(-0.322083\pi\)
\(230\) 60.0126 + 34.6483i 3.95711 + 2.28464i
\(231\) 1.16039 0.144995i 0.0763479 0.00953996i
\(232\) 18.5428 69.2025i 1.21739 4.54337i
\(233\) 19.6906 + 11.3684i 1.28998 + 0.744768i 0.978650 0.205536i \(-0.0658937\pi\)
0.311326 + 0.950303i \(0.399227\pi\)
\(234\) 9.55692 + 2.31392i 0.624756 + 0.151266i
\(235\) −1.65839 2.87241i −0.108181 0.187376i
\(236\) 12.5063 + 12.5063i 0.814091 + 0.814091i
\(237\) 3.06666 1.77054i 0.199201 0.115009i
\(238\) 4.01424 9.51341i 0.260205 0.616663i
\(239\) 20.7640 20.7640i 1.34311 1.34311i 0.450171 0.892943i \(-0.351363\pi\)
0.892943 0.450171i \(-0.148637\pi\)
\(240\) −50.1684 13.4426i −3.23836 0.867715i
\(241\) −4.79541 + 4.79541i −0.308900 + 0.308900i −0.844483 0.535583i \(-0.820092\pi\)
0.535583 + 0.844483i \(0.320092\pi\)
\(242\) −7.62647 + 28.4624i −0.490248 + 1.82963i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) 35.3925 + 61.3016i 2.26577 + 3.92443i
\(245\) −12.6540 + 21.2650i −0.808433 + 1.35857i
\(246\) 7.88884i 0.502974i
\(247\) 1.11768 4.61622i 0.0711161 0.293723i
\(248\) −5.87286 + 3.39070i −0.372927 + 0.215310i
\(249\) −0.853962 3.18703i −0.0541176 0.201970i
\(250\) 24.0674i 1.52216i
\(251\) 2.83547 4.91118i 0.178973 0.309991i −0.762556 0.646922i \(-0.776056\pi\)
0.941529 + 0.336932i \(0.109389\pi\)
\(252\) 8.83302 11.3557i 0.556428 0.715340i
\(253\) 0.822274 + 3.06877i 0.0516959 + 0.192932i
\(254\) 4.81065 17.9536i 0.301847 1.12651i
\(255\) 4.88639 + 1.30931i 0.305998 + 0.0819919i
\(256\) 40.0839 2.50524
\(257\) 1.19397 0.0744781 0.0372390 0.999306i \(-0.488144\pi\)
0.0372390 + 0.999306i \(0.488144\pi\)
\(258\) −21.9089 5.87046i −1.36399 0.365479i
\(259\) 2.47901 + 1.04603i 0.154038 + 0.0649972i
\(260\) 19.5559 + 66.4902i 1.21280 + 4.12354i
\(261\) −3.82097 + 6.61812i −0.236512 + 0.409651i
\(262\) −9.67191 + 2.59158i −0.597533 + 0.160108i
\(263\) 12.0587 20.8862i 0.743569 1.28790i −0.207292 0.978279i \(-0.566465\pi\)
0.950861 0.309619i \(-0.100202\pi\)
\(264\) −2.07187 3.58858i −0.127515 0.220862i
\(265\) −12.4173 12.4173i −0.762786 0.762786i
\(266\) −7.50251 5.83583i −0.460008 0.357818i
\(267\) −10.1057 + 2.70782i −0.618459 + 0.165716i
\(268\) 33.3789 8.94384i 2.03894 0.546332i
\(269\) 18.4510i 1.12498i −0.826804 0.562490i \(-0.809844\pi\)
0.826804 0.562490i \(-0.190156\pi\)
\(270\) 8.34912 + 4.82036i 0.508111 + 0.293358i
\(271\) 0.695084 0.695084i 0.0422234 0.0422234i −0.685680 0.727903i \(-0.740495\pi\)
0.727903 + 0.685680i \(0.240495\pi\)
\(272\) −21.0254 −1.27486
\(273\) −9.47830 1.07792i −0.573653 0.0652388i
\(274\) −21.4983 −1.29876
\(275\) −2.34292 + 2.34292i −0.141284 + 0.141284i
\(276\) 33.8486 + 19.5425i 2.03745 + 1.17632i
\(277\) 18.0478i 1.08439i −0.840254 0.542194i \(-0.817594\pi\)
0.840254 0.542194i \(-0.182406\pi\)
\(278\) 31.3980 8.41307i 1.88313 0.504582i
\(279\) 0.698697 0.187215i 0.0418299 0.0112083i
\(280\) 86.8557 + 12.0176i 5.19062 + 0.718189i
\(281\) 15.4188 + 15.4188i 0.919807 + 0.919807i 0.997015 0.0772077i \(-0.0246005\pi\)
−0.0772077 + 0.997015i \(0.524600\pi\)
\(282\) −1.27941 2.21601i −0.0761878 0.131961i
\(283\) −13.7360 + 23.7915i −0.816521 + 1.41426i 0.0917093 + 0.995786i \(0.470767\pi\)
−0.908230 + 0.418470i \(0.862566\pi\)
\(284\) 9.89773 2.65209i 0.587323 0.157373i
\(285\) 2.32835 4.03282i 0.137919 0.238884i
\(286\) −2.08118 + 3.81548i −0.123063 + 0.225614i
\(287\) 0.948921 + 7.59418i 0.0560130 + 0.448270i
\(288\) −20.5926 5.51778i −1.21343 0.325138i
\(289\) −14.9521 −0.879537
\(290\) −73.6739 −4.32628
\(291\) 2.51514 + 0.673929i 0.147440 + 0.0395064i
\(292\) −17.9051 + 66.8228i −1.04782 + 3.91051i
\(293\) 2.03171 + 7.58244i 0.118694 + 0.442971i 0.999537 0.0304377i \(-0.00969010\pi\)
−0.880843 + 0.473409i \(0.843023\pi\)
\(294\) −9.76227 + 16.4055i −0.569347 + 0.956790i
\(295\) 5.74908 9.95770i 0.334724 0.579760i
\(296\) 9.53419i 0.554163i
\(297\) 0.114397 + 0.426935i 0.00663799 + 0.0247733i
\(298\) −51.4222 + 29.6886i −2.97881 + 1.71982i
\(299\) −0.628440 25.9087i −0.0363436 1.49834i
\(300\) 40.7627i 2.35344i
\(301\) 21.7967 + 3.01585i 1.25634 + 0.173831i
\(302\) 19.0373 + 32.9736i 1.09548 + 1.89742i
\(303\) −1.25204 + 0.722867i −0.0719279 + 0.0415276i
\(304\) −5.00927 + 18.6949i −0.287302 + 1.07222i
\(305\) 32.5395 32.5395i 1.86321 1.86321i
\(306\) 3.76975 + 1.01010i 0.215502 + 0.0577436i
\(307\) −16.1223 + 16.1223i −0.920147 + 0.920147i −0.997039 0.0768923i \(-0.975500\pi\)
0.0768923 + 0.997039i \(0.475500\pi\)
\(308\) 3.83767 + 5.07019i 0.218671 + 0.288901i
\(309\) −11.6095 + 6.70272i −0.660439 + 0.381305i
\(310\) 4.93106 + 4.93106i 0.280065 + 0.280065i
\(311\) −2.75580 4.77319i −0.156267 0.270663i 0.777253 0.629189i \(-0.216613\pi\)
−0.933520 + 0.358526i \(0.883279\pi\)
\(312\) 9.53783 + 32.4287i 0.539973 + 1.83592i
\(313\) 16.8101 + 9.70534i 0.950165 + 0.548578i 0.893132 0.449794i \(-0.148503\pi\)
0.0570329 + 0.998372i \(0.481836\pi\)
\(314\) 10.5702 39.4487i 0.596513 2.22622i
\(315\) −8.61709 3.63603i −0.485518 0.204867i
\(316\) 16.6753 + 9.62750i 0.938060 + 0.541589i
\(317\) 7.26716 + 27.1214i 0.408164 + 1.52329i 0.798144 + 0.602467i \(0.205815\pi\)
−0.389980 + 0.920823i \(0.627518\pi\)
\(318\) −9.57965 9.57965i −0.537200 0.537200i
\(319\) −2.38840 2.38840i −0.133725 0.133725i
\(320\) −26.3102 98.1911i −1.47079 5.48905i
\(321\) −1.63658 0.944877i −0.0913447 0.0527379i
\(322\) −47.7844 20.1629i −2.66292 1.12364i
\(323\) 0.487902 1.82088i 0.0271476 0.101316i
\(324\) 4.70911 + 2.71881i 0.261617 + 0.151045i
\(325\) 23.0730 14.0780i 1.27986 0.780908i
\(326\) 12.0619 + 20.8918i 0.668045 + 1.15709i
\(327\) −5.21544 5.21544i −0.288414 0.288414i
\(328\) 23.4856 13.5594i 1.29677 0.748692i
\(329\) 1.49818 + 1.97934i 0.0825973 + 0.109125i
\(330\) −3.01310 + 3.01310i −0.165866 + 0.165866i
\(331\) −7.33428 1.96521i −0.403129 0.108018i 0.0515569 0.998670i \(-0.483582\pi\)
−0.454685 + 0.890652i \(0.650248\pi\)
\(332\) 12.6863 12.6863i 0.696252 0.696252i
\(333\) −0.263212 + 0.982321i −0.0144239 + 0.0538309i
\(334\) −0.810163 + 0.467748i −0.0443302 + 0.0255940i
\(335\) −11.2327 19.4555i −0.613705 1.06297i
\(336\) 38.5057 + 5.32776i 2.10066 + 0.290653i
\(337\) 3.26189i 0.177686i 0.996046 + 0.0888431i \(0.0283170\pi\)
−0.996046 + 0.0888431i \(0.971683\pi\)
\(338\) 23.8245 26.2554i 1.29588 1.42811i
\(339\) 5.35865 3.09382i 0.291042 0.168033i
\(340\) 7.11950 + 26.5703i 0.386109 + 1.44098i
\(341\) 0.319715i 0.0173136i
\(342\) 1.79627 3.11123i 0.0971312 0.168236i
\(343\) 7.42428 16.9670i 0.400873 0.916133i
\(344\) −20.1804 75.3143i −1.08805 4.06067i
\(345\) 6.57644 24.5436i 0.354064 1.32138i
\(346\) 24.3689 + 6.52964i 1.31008 + 0.351035i
\(347\) −30.9665 −1.66237 −0.831185 0.555996i \(-0.812337\pi\)
−0.831185 + 0.555996i \(0.812337\pi\)
\(348\) −41.5540 −2.22753
\(349\) −11.7105 3.13781i −0.626847 0.167963i −0.0686086 0.997644i \(-0.521856\pi\)
−0.558239 + 0.829680i \(0.688523\pi\)
\(350\) −6.70664 53.6730i −0.358485 2.86894i
\(351\) −0.0874303 3.60449i −0.00466668 0.192394i
\(352\) 4.71147 8.16050i 0.251122 0.434956i
\(353\) −28.4026 + 7.61046i −1.51172 + 0.405064i −0.917006 0.398874i \(-0.869401\pi\)
−0.594713 + 0.803938i \(0.702734\pi\)
\(354\) 4.43529 7.68215i 0.235733 0.408302i
\(355\) −3.33078 5.76909i −0.176780 0.306191i
\(356\) −40.2269 40.2269i −2.13202 2.13202i
\(357\) −3.75045 0.518923i −0.198495 0.0274643i
\(358\) −38.4746 + 10.3092i −2.03344 + 0.544860i
\(359\) 8.99331 2.40975i 0.474649 0.127182i −0.0135610 0.999908i \(-0.504317\pi\)
0.488210 + 0.872726i \(0.337650\pi\)
\(360\) 33.1411i 1.74669i
\(361\) 14.9517 + 8.63236i 0.786931 + 0.454335i
\(362\) −16.6578 + 16.6578i −0.875516 + 0.875516i
\(363\) 10.8046 0.567097
\(364\) −20.6936 47.5650i −1.08464 2.49308i
\(365\) 44.9744 2.35407
\(366\) 25.1035 25.1035i 1.31218 1.31218i
\(367\) 21.8442 + 12.6118i 1.14026 + 0.658329i 0.946495 0.322720i \(-0.104597\pi\)
0.193764 + 0.981048i \(0.437930\pi\)
\(368\) 105.608i 5.50518i
\(369\) −2.79409 + 0.748673i −0.145454 + 0.0389744i
\(370\) −9.47029 + 2.53756i −0.492337 + 0.131921i
\(371\) 10.3741 + 8.06954i 0.538599 + 0.418950i
\(372\) 2.78124 + 2.78124i 0.144201 + 0.144201i
\(373\) 0.524168 + 0.907886i 0.0271404 + 0.0470086i 0.879277 0.476312i \(-0.158027\pi\)
−0.852136 + 0.523320i \(0.824693\pi\)
\(374\) −0.862496 + 1.49389i −0.0445986 + 0.0772470i
\(375\) 8.52425 2.28407i 0.440190 0.117949i
\(376\) 4.39812 7.61777i 0.226816 0.392857i
\(377\) 14.3513 + 23.5209i 0.739129 + 1.21139i
\(378\) −6.64790 2.80512i −0.341931 0.144280i
\(379\) −15.3006 4.09979i −0.785941 0.210592i −0.156539 0.987672i \(-0.550034\pi\)
−0.629402 + 0.777080i \(0.716700\pi\)
\(380\) 25.3213 1.29896
\(381\) −6.81540 −0.349163
\(382\) 18.5669 + 4.97500i 0.949968 + 0.254543i
\(383\) −6.72323 + 25.0914i −0.343541 + 1.28211i 0.550767 + 0.834659i \(0.314335\pi\)
−0.894308 + 0.447453i \(0.852331\pi\)
\(384\) −9.26222 34.5671i −0.472661 1.76399i
\(385\) 2.53812 3.26299i 0.129355 0.166297i
\(386\) −31.5143 + 54.5844i −1.60404 + 2.77827i
\(387\) 8.31686i 0.422770i
\(388\) 3.66457 + 13.6763i 0.186040 + 0.694311i
\(389\) 20.0494 11.5755i 1.01655 0.586903i 0.103444 0.994635i \(-0.467014\pi\)
0.913102 + 0.407732i \(0.133680\pi\)
\(390\) 29.6729 18.1049i 1.50254 0.916779i
\(391\) 10.2862i 0.520194i
\(392\) −65.6197 0.864956i −3.31430 0.0436869i
\(393\) 1.83578 + 3.17967i 0.0926031 + 0.160393i
\(394\) −45.8965 + 26.4984i −2.31223 + 1.33497i
\(395\) 3.23985 12.0913i 0.163014 0.608378i
\(396\) −1.69946 + 1.69946i −0.0854013 + 0.0854013i
\(397\) −11.4194 3.05983i −0.573125 0.153569i −0.0393958 0.999224i \(-0.512543\pi\)
−0.533730 + 0.845655i \(0.679210\pi\)
\(398\) 34.3466 34.3466i 1.72164 1.72164i
\(399\) −1.35494 + 3.21109i −0.0678318 + 0.160756i
\(400\) −95.3847 + 55.0704i −4.76923 + 2.75352i
\(401\) 14.7302 + 14.7302i 0.735592 + 0.735592i 0.971722 0.236129i \(-0.0758789\pi\)
−0.236129 + 0.971722i \(0.575879\pi\)
\(402\) −8.66575 15.0095i −0.432208 0.748607i
\(403\) 0.613729 2.53482i 0.0305720 0.126268i
\(404\) −6.80812 3.93067i −0.338717 0.195558i
\(405\) 0.914933 3.41458i 0.0454634 0.169672i
\(406\) 54.7149 6.83683i 2.71545 0.339306i
\(407\) −0.389277 0.224749i −0.0192957 0.0111404i
\(408\) 3.47234 + 12.9589i 0.171906 + 0.641563i
\(409\) −11.2439 11.2439i −0.555974 0.555974i 0.372185 0.928159i \(-0.378609\pi\)
−0.928159 + 0.372185i \(0.878609\pi\)
\(410\) −19.7193 19.7193i −0.973865 0.973865i
\(411\) 2.04025 + 7.61433i 0.100638 + 0.375587i
\(412\) −63.1278 36.4468i −3.11008 1.79561i
\(413\) −3.34557 + 7.92872i −0.164625 + 0.390147i
\(414\) 5.07358 18.9349i 0.249353 0.930598i
\(415\) −10.1010 5.83183i −0.495840 0.286274i
\(416\) −53.0192 + 55.6552i −2.59948 + 2.72872i
\(417\) −5.95952 10.3222i −0.291839 0.505480i
\(418\) 1.12281 + 1.12281i 0.0549183 + 0.0549183i
\(419\) −4.29128 + 2.47757i −0.209643 + 0.121037i −0.601145 0.799140i \(-0.705289\pi\)
0.391503 + 0.920177i \(0.371955\pi\)
\(420\) −6.30573 50.4645i −0.307688 2.46242i
\(421\) 0.811225 0.811225i 0.0395367 0.0395367i −0.687062 0.726599i \(-0.741100\pi\)
0.726599 + 0.687062i \(0.241100\pi\)
\(422\) −26.5455 7.11283i −1.29221 0.346247i
\(423\) −0.663450 + 0.663450i −0.0322581 + 0.0322581i
\(424\) 12.0536 44.9848i 0.585376 2.18465i
\(425\) 9.29045 5.36385i 0.450653 0.260185i
\(426\) −2.56963 4.45073i −0.124499 0.215638i
\(427\) −21.1463 + 27.1855i −1.02334 + 1.31560i
\(428\) 10.2758i 0.496697i
\(429\) 1.54889 + 0.375016i 0.0747810 + 0.0181059i
\(430\) −69.4384 + 40.0903i −3.34862 + 1.93333i
\(431\) −5.30567 19.8010i −0.255565 0.953783i −0.967775 0.251816i \(-0.918972\pi\)
0.712210 0.701967i \(-0.247694\pi\)
\(432\) 14.6924i 0.706890i
\(433\) −0.246122 + 0.426295i −0.0118279 + 0.0204864i −0.871879 0.489722i \(-0.837098\pi\)
0.860051 + 0.510208i \(0.170432\pi\)
\(434\) −4.11971 3.20452i −0.197752 0.153822i
\(435\) 6.99187 + 26.0940i 0.335234 + 1.25111i
\(436\) 10.3803 38.7399i 0.497127 1.85530i
\(437\) −9.14599 2.45066i −0.437512 0.117231i
\(438\) 34.6968 1.65788
\(439\) 22.3782 1.06806 0.534028 0.845467i \(-0.320678\pi\)
0.534028 + 0.845467i \(0.320678\pi\)
\(440\) −14.1491 3.79124i −0.674533 0.180740i
\(441\) 6.73701 + 1.90069i 0.320810 + 0.0905092i
\(442\) 9.70585 10.1884i 0.461660 0.484613i
\(443\) 4.77420 8.26916i 0.226829 0.392880i −0.730038 0.683407i \(-0.760497\pi\)
0.956867 + 0.290527i \(0.0938308\pi\)
\(444\) −5.34148 + 1.43125i −0.253496 + 0.0679239i
\(445\) −18.4921 + 32.0292i −0.876609 + 1.51833i
\(446\) −1.29703 2.24653i −0.0614164 0.106376i
\(447\) 15.3953 + 15.3953i 0.728172 + 0.728172i
\(448\) 28.6516 + 70.4813i 1.35366 + 3.32993i
\(449\) −17.1874 + 4.60535i −0.811124 + 0.217340i −0.640462 0.767990i \(-0.721257\pi\)
−0.170662 + 0.985330i \(0.554591\pi\)
\(450\) 19.7476 5.29136i 0.930913 0.249437i
\(451\) 1.27854i 0.0602041i
\(452\) 29.1383 + 16.8230i 1.37055 + 0.791287i
\(453\) 9.87198 9.87198i 0.463826 0.463826i
\(454\) 66.8894 3.13928
\(455\) −26.3868 + 20.9979i −1.23703 + 0.984398i
\(456\) 12.3498 0.578331
\(457\) −19.4797 + 19.4797i −0.911220 + 0.911220i −0.996368 0.0851486i \(-0.972864\pi\)
0.0851486 + 0.996368i \(0.472864\pi\)
\(458\) −48.7276 28.1329i −2.27689 1.31456i
\(459\) 1.43104i 0.0667952i
\(460\) 133.459 35.7602i 6.22255 1.66733i
\(461\) −10.0918 + 2.70408i −0.470021 + 0.125942i −0.486052 0.873930i \(-0.661563\pi\)
0.0160314 + 0.999871i \(0.494897\pi\)
\(462\) 1.95811 2.51733i 0.0910993 0.117117i
\(463\) −10.7292 10.7292i −0.498628 0.498628i 0.412382 0.911011i \(-0.364697\pi\)
−0.911011 + 0.412382i \(0.864697\pi\)
\(464\) −56.1394 97.2362i −2.60620 4.51408i
\(465\) 1.27852 2.21446i 0.0592900 0.102693i
\(466\) 59.8948 16.0488i 2.77457 0.743445i
\(467\) −7.08987 + 12.2800i −0.328080 + 0.568251i −0.982131 0.188199i \(-0.939735\pi\)
0.654051 + 0.756451i \(0.273068\pi\)
\(468\) 16.7362 10.2116i 0.773633 0.472033i
\(469\) 10.1475 + 13.4065i 0.468569 + 0.619056i
\(470\) −8.73729 2.34115i −0.403021 0.107989i
\(471\) −14.9752 −0.690019
\(472\) 30.4937 1.40358
\(473\) −3.55076 0.951424i −0.163264 0.0437465i
\(474\) 2.49947 9.32816i 0.114805 0.428456i
\(475\) −2.55585 9.53857i −0.117271 0.437660i
\(476\) −7.75308 19.0721i −0.355362 0.874169i
\(477\) −2.48381 + 4.30208i −0.113726 + 0.196979i
\(478\) 80.0836i 3.66294i
\(479\) −6.49544 24.2413i −0.296784 1.10761i −0.939790 0.341752i \(-0.888980\pi\)
0.643006 0.765861i \(-0.277687\pi\)
\(480\) −65.2667 + 37.6817i −2.97900 + 1.71993i
\(481\) 2.65489 + 2.52915i 0.121053 + 0.115319i
\(482\) 18.4951i 0.842431i
\(483\) −2.60647 + 18.8379i −0.118599 + 0.857155i
\(484\) 29.3757 + 50.8803i 1.33526 + 2.31274i
\(485\) 7.97153 4.60236i 0.361968 0.208983i
\(486\) 0.705851 2.63427i 0.0320181 0.119493i
\(487\) −17.1606 + 17.1606i −0.777620 + 0.777620i −0.979426 0.201805i \(-0.935319\pi\)
0.201805 + 0.979426i \(0.435319\pi\)
\(488\) 117.883 + 31.5866i 5.33631 + 1.42986i
\(489\) 6.25479 6.25479i 0.282851 0.282851i
\(490\) 16.6058 + 65.4101i 0.750171 + 2.95493i
\(491\) −9.68019 + 5.58886i −0.436861 + 0.252222i −0.702265 0.711915i \(-0.747828\pi\)
0.265404 + 0.964137i \(0.414495\pi\)
\(492\) −11.1222 11.1222i −0.501426 0.501426i
\(493\) 5.46796 + 9.47079i 0.246265 + 0.426543i
\(494\) −6.74666 11.0574i −0.303547 0.497494i
\(495\) 1.35314 + 0.781234i 0.0608190 + 0.0351139i
\(496\) −2.75065 + 10.2656i −0.123508 + 0.460937i
\(497\) 3.00901 + 3.97540i 0.134973 + 0.178321i
\(498\) −7.79273 4.49914i −0.349201 0.201611i
\(499\) −10.2127 38.1144i −0.457184 1.70623i −0.681587 0.731737i \(-0.738710\pi\)
0.224403 0.974496i \(-0.427957\pi\)
\(500\) 33.9317 + 33.9317i 1.51747 + 1.51747i
\(501\) 0.242555 + 0.242555i 0.0108366 + 0.0108366i
\(502\) −4.00284 14.9388i −0.178655 0.666751i
\(503\) −7.48538 4.32169i −0.333757 0.192694i 0.323751 0.946142i \(-0.395056\pi\)
−0.657508 + 0.753448i \(0.728389\pi\)
\(504\) −3.07545 24.6127i −0.136991 1.09634i
\(505\) −1.32275 + 4.93657i −0.0588616 + 0.219674i
\(506\) 7.50357 + 4.33219i 0.333574 + 0.192589i
\(507\) −11.5602 5.94651i −0.513408 0.264094i
\(508\) −18.5297 32.0945i −0.822125 1.42396i
\(509\) 3.95593 + 3.95593i 0.175343 + 0.175343i 0.789322 0.613979i \(-0.210432\pi\)
−0.613979 + 0.789322i \(0.710432\pi\)
\(510\) 11.9479 6.89813i 0.529063 0.305454i
\(511\) −33.4008 + 4.17355i −1.47756 + 0.184627i
\(512\) 26.6889 26.6889i 1.17950 1.17950i
\(513\) −1.27242 0.340943i −0.0561785 0.0150530i
\(514\) 2.30249 2.30249i 0.101558 0.101558i
\(515\) −12.2651 + 45.7739i −0.540464 + 2.01704i
\(516\) −39.1650 + 22.6119i −1.72414 + 0.995435i
\(517\) −0.207354 0.359147i −0.00911940 0.0157953i
\(518\) 6.79775 2.76338i 0.298676 0.121416i
\(519\) 9.25073i 0.406062i
\(520\) 104.901 + 57.2191i 4.60023 + 2.50922i
\(521\) 5.55782 3.20881i 0.243493 0.140581i −0.373288 0.927715i \(-0.621770\pi\)
0.616781 + 0.787135i \(0.288436\pi\)
\(522\) 5.39408 + 20.1310i 0.236092 + 0.881108i
\(523\) 31.6355i 1.38333i 0.722221 + 0.691663i \(0.243121\pi\)
−0.722221 + 0.691663i \(0.756879\pi\)
\(524\) −9.98229 + 17.2898i −0.436078 + 0.755310i
\(525\) −18.3736 + 7.46910i −0.801888 + 0.325978i
\(526\) −17.0232 63.5316i −0.742248 2.77011i
\(527\) 0.267913 0.999863i 0.0116705 0.0435547i
\(528\) −6.27272 1.68077i −0.272985 0.0731461i
\(529\) −28.6659 −1.24634
\(530\) −47.8914 −2.08027
\(531\) −3.14180 0.841844i −0.136343 0.0365329i
\(532\) −18.8052 + 2.34978i −0.815310 + 0.101876i
\(533\) −2.45430 + 10.1367i −0.106307 + 0.439070i
\(534\) −14.2663 + 24.7099i −0.617361 + 1.06930i
\(535\) −6.45271 + 1.72900i −0.278975 + 0.0747511i
\(536\) 29.7895 51.5969i 1.28671 2.22865i
\(537\) 7.30269 + 12.6486i 0.315134 + 0.545829i
\(538\) −35.5814 35.5814i −1.53402 1.53402i
\(539\) −1.58217 + 2.65884i −0.0681488 + 0.114524i
\(540\) 18.5671 4.97505i 0.799003 0.214092i
\(541\) −18.2900 + 4.90078i −0.786347 + 0.210701i −0.629581 0.776935i \(-0.716773\pi\)
−0.156766 + 0.987636i \(0.550107\pi\)
\(542\) 2.68083i 0.115152i
\(543\) 7.48078 + 4.31903i 0.321031 + 0.185347i
\(544\) −21.5727 + 21.5727i −0.924922 + 0.924922i
\(545\) −26.0735 −1.11686
\(546\) −20.3568 + 16.1995i −0.871192 + 0.693273i
\(547\) −13.7543 −0.588091 −0.294046 0.955791i \(-0.595002\pi\)
−0.294046 + 0.955791i \(0.595002\pi\)
\(548\) −30.3097 + 30.3097i −1.29477 + 1.29477i
\(549\) −11.2736 6.50883i −0.481146 0.277790i
\(550\) 9.03628i 0.385308i
\(551\) 9.72373 2.60546i 0.414245 0.110997i
\(552\) 65.0908 17.4410i 2.77045 0.742340i
\(553\) −1.28406 + 9.28039i −0.0546039 + 0.394643i
\(554\) −34.8038 34.8038i −1.47867 1.47867i
\(555\) 1.79752 + 3.11339i 0.0763003 + 0.132156i
\(556\) 32.4056 56.1281i 1.37430 2.38036i
\(557\) 16.6591 4.46378i 0.705867 0.189137i 0.112010 0.993707i \(-0.464271\pi\)
0.593857 + 0.804571i \(0.297604\pi\)
\(558\) 0.986352 1.70841i 0.0417556 0.0723228i
\(559\) 26.3253 + 14.3593i 1.11344 + 0.607334i
\(560\) 109.568 82.9329i 4.63009 3.50456i
\(561\) 0.610962 + 0.163707i 0.0257948 + 0.00691170i
\(562\) 59.4678 2.50850
\(563\) 33.0554 1.39312 0.696559 0.717499i \(-0.254713\pi\)
0.696559 + 0.717499i \(0.254713\pi\)
\(564\) −4.92806 1.32047i −0.207509 0.0556017i
\(565\) 5.66127 21.1282i 0.238172 0.888868i
\(566\) 19.3912 + 72.3688i 0.815071 + 3.04189i
\(567\) −0.362619 + 2.62078i −0.0152286 + 0.110063i
\(568\) 8.83340 15.2999i 0.370641 0.641969i
\(569\) 32.9428i 1.38104i 0.723316 + 0.690518i \(0.242617\pi\)
−0.723316 + 0.690518i \(0.757383\pi\)
\(570\) −3.28694 12.2670i −0.137675 0.513808i
\(571\) 6.40074 3.69547i 0.267862 0.154650i −0.360053 0.932932i \(-0.617242\pi\)
0.627916 + 0.778281i \(0.283908\pi\)
\(572\) 2.44513 + 8.31348i 0.102236 + 0.347604i
\(573\) 7.04823i 0.294444i
\(574\) 16.4747 + 12.8149i 0.687640 + 0.534882i
\(575\) −26.9418 46.6645i −1.12355 1.94605i
\(576\) −24.9038 + 14.3782i −1.03766 + 0.599093i
\(577\) −10.1455 + 37.8634i −0.422362 + 1.57627i 0.347257 + 0.937770i \(0.387113\pi\)
−0.769618 + 0.638505i \(0.779553\pi\)
\(578\) −28.8340 + 28.8340i −1.19934 + 1.19934i
\(579\) 22.3236 + 5.98160i 0.927738 + 0.248587i
\(580\) −103.870 + 103.870i −4.31297 + 4.31297i
\(581\) 8.04285 + 3.39373i 0.333674 + 0.140796i
\(582\) 6.14986 3.55062i 0.254920 0.147178i
\(583\) −1.55257 1.55257i −0.0643009 0.0643009i
\(584\) 59.6371 + 103.294i 2.46780 + 4.27435i
\(585\) −9.22849 8.79140i −0.381551 0.363480i
\(586\) 18.5401 + 10.7041i 0.765886 + 0.442184i
\(587\) 5.58839 20.8562i 0.230658 0.860826i −0.749401 0.662117i \(-0.769658\pi\)
0.980058 0.198709i \(-0.0636750\pi\)
\(588\) 9.36607 + 36.8930i 0.386250 + 1.52144i
\(589\) −0.825203 0.476431i −0.0340019 0.0196310i
\(590\) −8.11599 30.2893i −0.334130 1.24699i
\(591\) 13.7410 + 13.7410i 0.565228 + 0.565228i
\(592\) −10.5655 10.5655i −0.434238 0.434238i
\(593\) −7.82600 29.2070i −0.321375 1.19939i −0.917906 0.396799i \(-0.870121\pi\)
0.596530 0.802591i \(-0.296546\pi\)
\(594\) 1.04392 + 0.602706i 0.0428324 + 0.0247293i
\(595\) −10.6719 + 8.07765i −0.437505 + 0.331152i
\(596\) −30.6413 + 114.355i −1.25512 + 4.68416i
\(597\) −15.4246 8.90538i −0.631285 0.364473i
\(598\) −51.1748 48.7510i −2.09269 1.99358i
\(599\) 9.06280 + 15.6972i 0.370296 + 0.641371i 0.989611 0.143771i \(-0.0459230\pi\)
−0.619315 + 0.785143i \(0.712590\pi\)
\(600\) 49.6951 + 49.6951i 2.02879 + 2.02879i
\(601\) −30.9648 + 17.8775i −1.26308 + 0.729240i −0.973669 0.227965i \(-0.926793\pi\)
−0.289411 + 0.957205i \(0.593459\pi\)
\(602\) 47.8490 36.2174i 1.95018 1.47611i
\(603\) −4.49370 + 4.49370i −0.182998 + 0.182998i
\(604\) 73.3283 + 19.6483i 2.98369 + 0.799476i
\(605\) 27.0077 27.0077i 1.09802 1.09802i
\(606\) −1.02047 + 3.80846i −0.0414539 + 0.154708i
\(607\) 3.30264 1.90678i 0.134050 0.0773937i −0.431475 0.902125i \(-0.642007\pi\)
0.565525 + 0.824731i \(0.308673\pi\)
\(608\) 14.0418 + 24.3211i 0.569470 + 0.986352i
\(609\) −7.61409 18.7302i −0.308538 0.758987i
\(610\) 125.500i 5.08133i
\(611\) 0.954550 + 3.24548i 0.0386170 + 0.131298i
\(612\) 6.73893 3.89072i 0.272405 0.157273i
\(613\) 1.06673 + 3.98111i 0.0430850 + 0.160795i 0.984117 0.177523i \(-0.0568085\pi\)
−0.941032 + 0.338319i \(0.890142\pi\)
\(614\) 62.1811i 2.50942i
\(615\) −5.11280 + 8.85563i −0.206168 + 0.357094i
\(616\) 10.8598 + 1.50260i 0.437556 + 0.0605415i
\(617\) 4.26184 + 15.9054i 0.171575 + 0.640327i 0.997110 + 0.0759754i \(0.0242070\pi\)
−0.825535 + 0.564351i \(0.809126\pi\)
\(618\) −9.46225 + 35.3136i −0.380628 + 1.42052i
\(619\) 9.82581 + 2.63282i 0.394933 + 0.105822i 0.450819 0.892615i \(-0.351132\pi\)
−0.0558866 + 0.998437i \(0.517799\pi\)
\(620\) 13.9042 0.558407
\(621\) −7.18790 −0.288440
\(622\) −14.5191 3.89037i −0.582161 0.155990i
\(623\) 10.7611 25.5030i 0.431135 1.02176i
\(624\) 46.5059 + 25.3669i 1.86173 + 1.01549i
\(625\) −3.14284 + 5.44356i −0.125714 + 0.217743i
\(626\) 51.1330 13.7010i 2.04369 0.547604i
\(627\) 0.291121 0.504236i 0.0116263 0.0201373i
\(628\) −40.7146 70.5198i −1.62469 2.81405i
\(629\) 1.02907 + 1.02907i 0.0410318 + 0.0410318i
\(630\) −23.6292 + 9.60558i −0.941409 + 0.382696i
\(631\) −35.7618 + 9.58236i −1.42366 + 0.381468i −0.886779 0.462193i \(-0.847063\pi\)
−0.536877 + 0.843661i \(0.680396\pi\)
\(632\) 32.0666 8.59222i 1.27554 0.341780i
\(633\) 10.0770i 0.400523i
\(634\) 66.3156 + 38.2873i 2.63373 + 1.52058i
\(635\) −17.0361 + 17.0361i −0.676055 + 0.676055i
\(636\) −27.0120 −1.07109
\(637\) 17.6479 18.0430i 0.699236 0.714891i
\(638\) −9.21169 −0.364694
\(639\) −1.33250 + 1.33250i −0.0527131 + 0.0527131i
\(640\) −109.558 63.2531i −4.33064 2.50030i
\(641\) 30.1425i 1.19056i −0.803520 0.595278i \(-0.797042\pi\)
0.803520 0.595278i \(-0.202958\pi\)
\(642\) −4.97813 + 1.33388i −0.196471 + 0.0526442i
\(643\) 36.7921 9.85840i 1.45094 0.388778i 0.554588 0.832125i \(-0.312876\pi\)
0.896350 + 0.443348i \(0.146209\pi\)
\(644\) −95.7964 + 38.9425i −3.77491 + 1.53455i
\(645\) 20.7892 + 20.7892i 0.818573 + 0.818573i
\(646\) −2.57054 4.45230i −0.101136 0.175173i
\(647\) −19.3901 + 33.5847i −0.762305 + 1.32035i 0.179354 + 0.983785i \(0.442599\pi\)
−0.941660 + 0.336567i \(0.890734\pi\)
\(648\) 9.05561 2.42644i 0.355738 0.0953197i
\(649\) 0.718826 1.24504i 0.0282164 0.0488722i
\(650\) 17.3461 71.6428i 0.680371 2.81006i
\(651\) −0.744012 + 1.76325i −0.0291601 + 0.0691071i
\(652\) 46.4600 + 12.4489i 1.81952 + 0.487538i
\(653\) −13.0170 −0.509396 −0.254698 0.967021i \(-0.581976\pi\)
−0.254698 + 0.967021i \(0.581976\pi\)
\(654\) −20.1151 −0.786564
\(655\) 12.5368 + 3.35924i 0.489855 + 0.131256i
\(656\) 10.9998 41.0519i 0.429471 1.60281i
\(657\) −3.29282 12.2890i −0.128465 0.479439i
\(658\) 6.70612 + 0.927878i 0.261432 + 0.0361725i
\(659\) 25.0015 43.3039i 0.973921 1.68688i 0.290470 0.956884i \(-0.406188\pi\)
0.683451 0.729996i \(-0.260478\pi\)
\(660\) 8.49610i 0.330710i
\(661\) 3.33584 + 12.4495i 0.129749 + 0.484231i 0.999964 0.00844118i \(-0.00268694\pi\)
−0.870215 + 0.492672i \(0.836020\pi\)
\(662\) −17.9333 + 10.3538i −0.696999 + 0.402413i
\(663\) −4.52966 2.47073i −0.175918 0.0959553i
\(664\) 30.9326i 1.20042i
\(665\) 4.63972 + 11.4134i 0.179921 + 0.442595i
\(666\) 1.38674 + 2.40191i 0.0537353 + 0.0930722i
\(667\) 47.5704 27.4648i 1.84193 1.06344i
\(668\) −0.482758 + 1.80168i −0.0186785 + 0.0697090i
\(669\) −0.672589 + 0.672589i −0.0260038 + 0.0260038i
\(670\) −59.1797 15.8572i −2.28631 0.612615i
\(671\) 4.06852 4.06852i 0.157063 0.157063i
\(672\) 44.9743 34.0415i 1.73492 1.31318i
\(673\) 34.5128 19.9259i 1.33037 0.768089i 0.345013 0.938598i \(-0.387875\pi\)
0.985356 + 0.170509i \(0.0545413\pi\)
\(674\) 6.29029 + 6.29029i 0.242293 + 0.242293i
\(675\) −3.74822 6.49210i −0.144269 0.249881i
\(676\) −3.42724 70.6059i −0.131817 2.71561i
\(677\) −3.61272 2.08580i −0.138848 0.0801640i 0.428967 0.903320i \(-0.358878\pi\)
−0.567815 + 0.823156i \(0.692211\pi\)
\(678\) 4.36755 16.2999i 0.167735 0.625995i
\(679\) −5.49307 + 4.15775i −0.210805 + 0.159560i
\(680\) 41.0723 + 23.7131i 1.57505 + 0.909357i
\(681\) −6.34800 23.6911i −0.243256 0.907843i
\(682\) 0.616546 + 0.616546i 0.0236088 + 0.0236088i
\(683\) 4.99136 + 4.99136i 0.190989 + 0.190989i 0.796123 0.605134i \(-0.206881\pi\)
−0.605134 + 0.796123i \(0.706881\pi\)
\(684\) −1.85391 6.91890i −0.0708862 0.264551i
\(685\) 24.1330 + 13.9332i 0.922075 + 0.532360i
\(686\) −18.4024 47.0367i −0.702609 1.79587i
\(687\) −5.33978 + 19.9283i −0.203725 + 0.760314i
\(688\) −105.824 61.0974i −4.03450 2.32932i
\(689\) 9.32899 + 15.2896i 0.355406 + 0.582489i
\(690\) −34.6483 60.0126i −1.31904 2.28464i
\(691\) −15.9631 15.9631i −0.607264 0.607264i 0.334966 0.942230i \(-0.391275\pi\)
−0.942230 + 0.334966i \(0.891275\pi\)
\(692\) 43.5627 25.1510i 1.65601 0.956096i
\(693\) −1.07742 0.454625i −0.0409279 0.0172698i
\(694\) −59.7165 + 59.7165i −2.26681 + 2.26681i
\(695\) −40.6985 10.9051i −1.54378 0.413655i
\(696\) −50.6597 + 50.6597i −1.92025 + 1.92025i
\(697\) −1.07138 + 3.99845i −0.0405815 + 0.151452i
\(698\) −28.6337 + 16.5317i −1.08380 + 0.625734i
\(699\) −11.3684 19.6906i −0.429992 0.744768i
\(700\) −85.1270 66.2161i −3.21750 2.50273i
\(701\) 38.0674i 1.43779i −0.695120 0.718894i \(-0.744649\pi\)
0.695120 0.718894i \(-0.255351\pi\)
\(702\) −7.11958 6.78237i −0.268711 0.255984i
\(703\) 1.16018 0.669830i 0.0437570 0.0252631i
\(704\) −3.28965 12.2771i −0.123983 0.462712i
\(705\) 3.31678i 0.124917i
\(706\) −40.0960 + 69.4484i −1.50903 + 2.61372i
\(707\) 0.524251 3.78896i 0.0197165 0.142498i
\(708\) −4.57762 17.0839i −0.172038 0.642053i
\(709\) −0.469956 + 1.75390i −0.0176496 + 0.0658691i −0.974189 0.225734i \(-0.927522\pi\)
0.956539 + 0.291603i \(0.0941886\pi\)
\(710\) −17.5484 4.70208i −0.658579 0.176466i
\(711\) −3.54108 −0.132801
\(712\) −98.0838 −3.67584
\(713\) −5.02216 1.34568i −0.188081 0.0503963i
\(714\) −8.23314 + 6.23174i −0.308118 + 0.233217i
\(715\) 4.80907 2.93426i 0.179849 0.109735i
\(716\) −39.7092 + 68.7784i −1.48400 + 2.57037i
\(717\) −28.3642 + 7.60016i −1.05928 + 0.283833i
\(718\) 12.6959 21.9899i 0.473806 0.820656i
\(719\) 13.7958 + 23.8950i 0.514496 + 0.891133i 0.999859 + 0.0168198i \(0.00535417\pi\)
−0.485363 + 0.874313i \(0.661312\pi\)
\(720\) 36.7258 + 36.7258i 1.36869 + 1.36869i
\(721\) 4.86107 35.1328i 0.181036 1.30841i
\(722\) 45.4800 12.1863i 1.69259 0.453528i
\(723\) 6.55065 1.75524i 0.243621 0.0652781i
\(724\) 46.9705i 1.74564i
\(725\) 49.6123 + 28.6437i 1.84255 + 1.06380i
\(726\) 20.8359 20.8359i 0.773293 0.773293i
\(727\) 1.57479 0.0584058 0.0292029 0.999574i \(-0.490703\pi\)
0.0292029 + 0.999574i \(0.490703\pi\)
\(728\) −83.2163 32.7598i −3.08420 1.21416i
\(729\) −1.00000 −0.0370370
\(730\) 86.7295 86.7295i 3.21000 3.21000i
\(731\) 10.3072 + 5.95088i 0.381226 + 0.220101i
\(732\) 70.7850i 2.61629i
\(733\) −37.5443 + 10.0600i −1.38673 + 0.371574i −0.873562 0.486713i \(-0.838196\pi\)
−0.513170 + 0.858287i \(0.671529\pi\)
\(734\) 66.4456 17.8040i 2.45255 0.657159i
\(735\) 21.5912 12.0891i 0.796403 0.445912i
\(736\) 108.356 + 108.356i 3.99407 + 3.99407i
\(737\) −1.40445 2.43259i −0.0517337 0.0896055i
\(738\) −3.94442 + 6.83193i −0.145196 + 0.251487i
\(739\) −42.2979 + 11.3337i −1.55595 + 0.416917i −0.931380 0.364049i \(-0.881394\pi\)
−0.624574 + 0.780966i \(0.714727\pi\)
\(740\) −9.77420 + 16.9294i −0.359307 + 0.622337i
\(741\) −3.27605 + 3.43892i −0.120349 + 0.126332i
\(742\) 35.5672 4.44425i 1.30571 0.163154i
\(743\) 18.3147 + 4.90740i 0.671900 + 0.180035i 0.578610 0.815604i \(-0.303595\pi\)
0.0932893 + 0.995639i \(0.470262\pi\)
\(744\) 6.78140 0.248618
\(745\) 76.9655 2.81980
\(746\) 2.76160 + 0.739970i 0.101110 + 0.0270922i
\(747\) −0.853962 + 3.18703i −0.0312448 + 0.116607i
\(748\) 0.890174 + 3.32217i 0.0325480 + 0.121471i
\(749\) 4.63174 1.88286i 0.169240 0.0687984i
\(750\) 12.0337 20.8430i 0.439409 0.761078i
\(751\) 11.4855i 0.419110i −0.977797 0.209555i \(-0.932798\pi\)
0.977797 0.209555i \(-0.0672016\pi\)
\(752\) −3.56790 13.3156i −0.130108 0.485570i
\(753\) −4.91118 + 2.83547i −0.178973 + 0.103330i
\(754\) 73.0335 + 17.6828i 2.65972 + 0.643971i
\(755\) 49.3529i 1.79613i
\(756\) −13.3275 + 5.41779i −0.484715 + 0.197043i
\(757\) 0.505532 + 0.875607i 0.0183739 + 0.0318245i 0.875066 0.484003i \(-0.160818\pi\)
−0.856692 + 0.515828i \(0.827484\pi\)
\(758\) −37.4122 + 21.5999i −1.35887 + 0.784545i
\(759\) 0.822274 3.06877i 0.0298467 0.111389i
\(760\) 30.8700 30.8700i 1.11977 1.11977i
\(761\) 44.9154 + 12.0351i 1.62818 + 0.436270i 0.953391 0.301737i \(-0.0975666\pi\)
0.674792 + 0.738008i \(0.264233\pi\)
\(762\) −13.1430 + 13.1430i −0.476119 + 0.476119i
\(763\) 19.3638 2.41958i 0.701017 0.0875946i
\(764\) 33.1909 19.1628i 1.20080 0.693285i
\(765\) −3.57709 3.57709i −0.129330 0.129330i
\(766\) 35.4216 + 61.3520i 1.27983 + 2.21674i
\(767\) −8.08910 + 8.49127i −0.292080 + 0.306602i
\(768\) −34.7137 20.0419i −1.25262 0.723202i
\(769\) 10.0112 37.3624i 0.361014 1.34732i −0.511730 0.859146i \(-0.670995\pi\)
0.872745 0.488177i \(-0.162338\pi\)
\(770\) −1.39786 11.1870i −0.0503752 0.403151i
\(771\) −1.03401 0.596987i −0.0372390 0.0215000i
\(772\) 32.5256 + 121.387i 1.17062 + 4.36882i
\(773\) −21.0972 21.0972i −0.758814 0.758814i 0.217293 0.976107i \(-0.430277\pi\)
−0.976107 + 0.217293i \(0.930277\pi\)
\(774\) 16.0384 + 16.0384i 0.576489 + 0.576489i
\(775\) −1.40345 5.23773i −0.0504133 0.188145i
\(776\) 21.1409 + 12.2057i 0.758913 + 0.438158i
\(777\) −1.62387 2.14539i −0.0582559 0.0769655i
\(778\) 16.3412 60.9862i 0.585861 2.18646i
\(779\) 3.29998 + 1.90525i 0.118234 + 0.0682625i
\(780\) 16.3092 67.3601i 0.583963 2.41188i
\(781\) −0.416459 0.721328i −0.0149021 0.0258111i
\(782\) −19.8361 19.8361i −0.709336 0.709336i
\(783\) 6.61812 3.82097i 0.236512 0.136550i
\(784\) −73.6760 + 71.7590i −2.63129 + 2.56282i
\(785\) −37.4326 + 37.4326i −1.33603 + 1.33603i
\(786\) 9.67191 + 2.59158i 0.344986 + 0.0924386i
\(787\) 3.12615 3.12615i 0.111435 0.111435i −0.649191 0.760626i \(-0.724892\pi\)
0.760626 + 0.649191i \(0.224892\pi\)
\(788\) −27.3487 + 102.067i −0.974258 + 3.63598i
\(789\) −20.8862 + 12.0587i −0.743569 + 0.429300i
\(790\) −17.0693 29.5649i −0.607298 1.05187i
\(791\) −2.24376 + 16.2165i −0.0797788 + 0.576591i
\(792\) 4.14374i 0.147241i
\(793\) −40.0666 + 24.4467i −1.42281 + 0.868127i
\(794\) −27.9221 + 16.1209i −0.990920 + 0.572108i
\(795\) 4.54503 + 16.9623i 0.161196 + 0.601591i
\(796\) 96.8480i 3.43269i
\(797\) −8.62284 + 14.9352i −0.305437 + 0.529032i −0.977358 0.211590i \(-0.932136\pi\)
0.671922 + 0.740622i \(0.265469\pi\)
\(798\) 3.57945 + 8.80523i 0.126711 + 0.311702i
\(799\) 0.347513 + 1.29694i 0.0122941 + 0.0458823i
\(800\) −41.3636 + 154.371i −1.46243 + 5.45785i
\(801\) 10.1057 + 2.70782i 0.357068 + 0.0956760i
\(802\) 56.8121 2.00611
\(803\) 5.62329 0.198442
\(804\) −33.3789 8.94384i −1.17718 0.315425i
\(805\) 40.5728 + 53.6033i 1.43000 + 1.88927i
\(806\) −3.70466 6.07172i −0.130491 0.213867i
\(807\) −9.22552 + 15.9791i −0.324754 + 0.562490i
\(808\) −13.0920 + 3.50799i −0.460575 + 0.123411i
\(809\) −11.7999 + 20.4380i −0.414862 + 0.718562i −0.995414 0.0956610i \(-0.969504\pi\)
0.580552 + 0.814223i \(0.302837\pi\)
\(810\) −4.82036 8.34912i −0.169370 0.293358i
\(811\) 16.8186 + 16.8186i 0.590582 + 0.590582i 0.937789 0.347207i \(-0.112870\pi\)
−0.347207 + 0.937789i \(0.612870\pi\)
\(812\) 67.5015 86.7794i 2.36884 3.04536i
\(813\) −0.949503 + 0.254418i −0.0333005 + 0.00892285i
\(814\) −1.18410 + 0.317279i −0.0415027 + 0.0111206i
\(815\) 31.2695i 1.09532i
\(816\) 18.2086 + 10.5127i 0.637428 + 0.368019i
\(817\) 7.74693 7.74693i 0.271031 0.271031i
\(818\) −43.3659 −1.51625
\(819\) 7.66948 + 5.67266i 0.267993 + 0.198219i
\(820\) −55.6029 −1.94174
\(821\) 12.7007 12.7007i 0.443259 0.443259i −0.449847 0.893106i \(-0.648521\pi\)
0.893106 + 0.449847i \(0.148521\pi\)
\(822\) 18.6181 + 10.7492i 0.649381 + 0.374920i
\(823\) 27.7997i 0.969035i 0.874782 + 0.484518i \(0.161005\pi\)
−0.874782 + 0.484518i \(0.838995\pi\)
\(824\) −121.395 + 32.5276i −4.22898 + 1.13315i
\(825\) 3.20049 0.857569i 0.111427 0.0298567i
\(826\) 8.83824 + 21.7416i 0.307522 + 0.756486i
\(827\) −19.2095 19.2095i −0.667980 0.667980i 0.289268 0.957248i \(-0.406588\pi\)
−0.957248 + 0.289268i \(0.906588\pi\)
\(828\) −19.5425 33.8486i −0.679149 1.17632i
\(829\) 20.1884 34.9673i 0.701170 1.21446i −0.266885 0.963728i \(-0.585995\pi\)
0.968056 0.250735i \(-0.0806722\pi\)
\(830\) −30.7253 + 8.23281i −1.06649 + 0.285765i
\(831\) −9.02390 + 15.6299i −0.313036 + 0.542194i
\(832\) 2.51419 + 103.652i 0.0871637 + 3.59350i
\(833\) 7.17603 6.98931i 0.248635 0.242165i
\(834\) −31.3980 8.41307i −1.08722 0.291321i
\(835\) 1.21260 0.0419638
\(836\) 3.16601 0.109499
\(837\) −0.698697 0.187215i −0.0241505 0.00647111i
\(838\) −3.49759 + 13.0532i −0.120822 + 0.450915i
\(839\) −3.20470 11.9601i −0.110638 0.412908i 0.888285 0.459292i \(-0.151897\pi\)
−0.998924 + 0.0463840i \(0.985230\pi\)
\(840\) −69.2104 53.8354i −2.38799 1.85750i
\(841\) −14.6997 + 25.4606i −0.506885 + 0.877951i
\(842\) 3.12877i 0.107824i
\(843\) −5.64367 21.0624i −0.194378 0.725429i
\(844\) −47.4535 + 27.3973i −1.63342 + 0.943055i
\(845\) −43.7606 + 14.0323i −1.50541 + 0.482725i
\(846\) 2.55882i 0.0879741i
\(847\) −17.5514 + 22.5639i −0.603072 + 0.775306i
\(848\) −36.4932 63.2080i −1.25318 2.17057i
\(849\) 23.7915 13.7360i 0.816521 0.471419i
\(850\) 7.57215 28.2597i 0.259723 0.969298i
\(851\) 5.16888 5.16888i 0.177187 0.177187i
\(852\) −9.89773 2.65209i −0.339091 0.0908591i
\(853\) 30.9345 30.9345i 1.05918 1.05918i 0.0610421 0.998135i \(-0.480558\pi\)
0.998135 0.0610421i \(-0.0194424\pi\)
\(854\) 11.6462 + 93.2040i 0.398524 + 3.18937i
\(855\) −4.03282 + 2.32835i −0.137919 + 0.0796279i
\(856\) −12.5275 12.5275i −0.428181 0.428181i
\(857\) 4.46536 + 7.73423i 0.152534 + 0.264196i 0.932158 0.362051i \(-0.117923\pi\)
−0.779624 + 0.626247i \(0.784590\pi\)
\(858\) 3.71009 2.26372i 0.126661 0.0772820i
\(859\) 21.5650 + 12.4506i 0.735789 + 0.424808i 0.820536 0.571594i \(-0.193675\pi\)
−0.0847471 + 0.996402i \(0.527008\pi\)
\(860\) −41.3768 + 154.420i −1.41094 + 5.26569i
\(861\) 2.97530 7.05121i 0.101398 0.240305i
\(862\) −48.4163 27.9532i −1.64907 0.952089i
\(863\) 4.57987 + 17.0923i 0.155900 + 0.581829i 0.999027 + 0.0441126i \(0.0140460\pi\)
−0.843126 + 0.537716i \(0.819287\pi\)
\(864\) 15.0748 + 15.0748i 0.512857 + 0.512857i
\(865\) −23.1235 23.1235i −0.786223 0.786223i
\(866\) 0.347450 + 1.29670i 0.0118068 + 0.0440638i
\(867\) 12.9489 + 7.47606i 0.439768 + 0.253900i
\(868\) −10.3261 + 1.29029i −0.350492 + 0.0437953i
\(869\) 0.405088 1.51181i 0.0137417 0.0512847i
\(870\) 63.8035 + 36.8370i 2.16314 + 1.24889i
\(871\) 6.46539 + 21.9824i 0.219071 + 0.744845i
\(872\) −34.5740 59.8840i −1.17082 2.02793i
\(873\) −1.84121 1.84121i −0.0623154 0.0623154i
\(874\) −22.3632 + 12.9114i −0.756447 + 0.436735i
\(875\) −9.07710 + 21.5120i −0.306862 + 0.727237i
\(876\) 48.9177 48.9177i 1.65277 1.65277i
\(877\) −2.49405 0.668278i −0.0842180 0.0225662i 0.216464 0.976291i \(-0.430548\pi\)
−0.300682 + 0.953724i \(0.597214\pi\)
\(878\) 43.1547 43.1547i 1.45640 1.45640i
\(879\) 2.03171 7.58244i 0.0685278 0.255749i
\(880\) −19.8809 + 11.4782i −0.670184 + 0.386931i
\(881\) −5.24887 9.09131i −0.176839 0.306294i 0.763957 0.645267i \(-0.223254\pi\)
−0.940796 + 0.338973i \(0.889921\pi\)
\(882\) 16.6571 9.32646i 0.560875 0.314038i
\(883\) 0.987737i 0.0332400i 0.999862 + 0.0166200i \(0.00529056\pi\)
−0.999862 + 0.0166200i \(0.994709\pi\)
\(884\) −0.680334 28.0481i −0.0228821 0.943361i
\(885\) −9.95770 + 5.74908i −0.334724 + 0.193253i
\(886\) −6.73975 25.1531i −0.226426 0.845035i
\(887\) 39.8664i 1.33858i −0.743001 0.669291i \(-0.766598\pi\)
0.743001 0.669291i \(-0.233402\pi\)
\(888\) −4.76709 + 8.25685i −0.159973 + 0.277082i
\(889\) 11.0711 14.2330i 0.371314 0.477358i
\(890\) 26.1053 + 97.4264i 0.875052 + 3.26574i
\(891\) 0.114397 0.426935i 0.00383244 0.0143029i
\(892\) −4.99594 1.33866i −0.167276 0.0448216i
\(893\) 1.23597 0.0413602
\(894\) 59.3772 1.98587
\(895\) 49.8712 + 13.3629i 1.66701 + 0.446674i
\(896\) 87.2341 + 36.8090i 2.91429 + 1.22970i
\(897\) −12.4101 + 22.7518i −0.414362 + 0.759661i
\(898\) −24.2635 + 42.0256i −0.809684 + 1.40241i
\(899\) 5.33940 1.43069i 0.178079 0.0477162i
\(900\) 20.3814 35.3015i 0.679378 1.17672i
\(901\) 3.55443 + 6.15645i 0.118415 + 0.205101i
\(902\) −2.46556 2.46556i −0.0820943 0.0820943i
\(903\) −17.3686 13.5102i −0.577990 0.449590i
\(904\) 56.0329 15.0140i 1.86362 0.499357i
\(905\) 29.4953 7.90325i 0.980458 0.262713i
\(906\) 38.0747i 1.26495i
\(907\) 7.90175 + 4.56208i 0.262373 + 0.151481i 0.625417 0.780291i \(-0.284929\pi\)
−0.363043 + 0.931772i \(0.618262\pi\)
\(908\) 94.3048 94.3048i 3.12962 3.12962i
\(909\) 1.44573 0.0479520
\(910\) −10.3920 + 91.3777i −0.344490 + 3.02914i
\(911\) 28.0053 0.927856 0.463928 0.885873i \(-0.346440\pi\)
0.463928 + 0.885873i \(0.346440\pi\)
\(912\) 13.6856 13.6856i 0.453175 0.453175i
\(913\) −1.26296 0.729173i −0.0417980 0.0241321i
\(914\) 75.1299i 2.48508i
\(915\) −44.4498 + 11.9103i −1.46946 + 0.393742i
\(916\) −108.363 + 29.0357i −3.58040 + 0.959366i
\(917\) −9.62239 1.33138i −0.317759 0.0439661i
\(918\) −2.75965 2.75965i −0.0910819 0.0910819i
\(919\) −6.25029 10.8258i −0.206178 0.357111i 0.744329 0.667813i \(-0.232769\pi\)
−0.950507 + 0.310702i \(0.899436\pi\)
\(920\) 119.107 206.300i 3.92686 6.80151i
\(921\) 22.0234 5.90116i 0.725697 0.194450i
\(922\) −14.2466 + 24.6758i −0.469186 + 0.812654i
\(923\) 1.91716 + 6.51838i 0.0631042 + 0.214555i
\(924\) −0.788426 6.30974i −0.0259373 0.207575i
\(925\) 7.36390 + 1.97315i 0.242124 + 0.0648768i
\(926\) −41.3808 −1.35986
\(927\) 13.4054 0.440293
\(928\) −157.368 42.1666i −5.16585 1.38418i
\(929\) −6.56236 + 24.4911i −0.215304 + 0.803525i 0.770755 + 0.637131i \(0.219879\pi\)
−0.986059 + 0.166394i \(0.946788\pi\)
\(930\) −1.80489 6.73595i −0.0591847 0.220880i
\(931\) −4.50490 8.04579i −0.147642 0.263690i
\(932\) 61.8169 107.070i 2.02488 3.50719i
\(933\) 5.51160i 0.180442i
\(934\) 10.0088 + 37.3533i 0.327497 + 1.22224i
\(935\) 1.93639 1.11798i 0.0633269 0.0365618i
\(936\) 7.95436 32.8530i 0.259996 1.07383i
\(937\) 27.8676i 0.910396i −0.890390 0.455198i \(-0.849569\pi\)
0.890390 0.455198i \(-0.150431\pi\)
\(938\) 45.4221 + 6.28474i 1.48308 + 0.205204i
\(939\) −9.70534 16.8101i −0.316722 0.548578i
\(940\) −15.6191 + 9.01768i −0.509438 + 0.294124i
\(941\) −3.72461 + 13.9004i −0.121419 + 0.453141i −0.999687 0.0250276i \(-0.992033\pi\)
0.878268 + 0.478169i \(0.158699\pi\)
\(942\) −28.8784 + 28.8784i −0.940910 + 0.940910i
\(943\) 20.0836 + 5.38139i 0.654012 + 0.175242i
\(944\) 33.7920 33.7920i 1.09984 1.09984i
\(945\) 5.64460 + 7.45744i 0.183619 + 0.242591i
\(946\) −8.68211 + 5.01262i −0.282280 + 0.162974i
\(947\) −9.13292 9.13292i −0.296780 0.296780i 0.542971 0.839751i \(-0.317299\pi\)
−0.839751 + 0.542971i \(0.817299\pi\)
\(948\) −9.62750 16.6753i −0.312687 0.541589i
\(949\) −44.5834 10.7945i −1.44724 0.350405i
\(950\) −23.3231 13.4656i −0.756703 0.436882i
\(951\) 7.26716 27.1214i 0.235654 0.879472i
\(952\) −32.7035 13.7994i −1.05992 0.447241i
\(953\) −52.8130 30.4916i −1.71078 0.987720i −0.933507 0.358559i \(-0.883268\pi\)
−0.777275 0.629161i \(-0.783399\pi\)
\(954\) 3.50640 + 13.0860i 0.113524 + 0.423676i
\(955\) −17.6181 17.6181i −0.570107 0.570107i
\(956\) −112.907 112.907i −3.65167 3.65167i
\(957\) 0.874216 + 3.26262i 0.0282594 + 0.105465i
\(958\) −59.2734 34.2215i −1.91504 1.10565i
\(959\) −19.2157 8.10817i −0.620507 0.261826i
\(960\) −26.3102 + 98.1911i −0.849159 + 3.16910i
\(961\) 26.3937 + 15.2384i 0.851408 + 0.491561i
\(962\) 9.99702 0.242487i 0.322317 0.00781810i
\(963\) 0.944877 + 1.63658i 0.0304482 + 0.0527379i
\(964\) 26.0756 + 26.0756i 0.839838 + 0.839838i
\(965\) 70.7530 40.8492i 2.27762 1.31498i
\(966\) 31.3011 + 41.3538i 1.00710 + 1.33054i
\(967\) 33.5388 33.5388i 1.07853 1.07853i 0.0818928 0.996641i \(-0.473903\pi\)
0.996641 0.0818928i \(-0.0260965\pi\)
\(968\) 97.8426 + 26.2169i 3.14478 + 0.842642i
\(969\) −1.33297 + 1.33297i −0.0428213 + 0.0428213i
\(970\) 6.49717 24.2478i 0.208611 0.778548i
\(971\) 11.8250 6.82715i 0.379481 0.219094i −0.298111 0.954531i \(-0.596357\pi\)
0.677593 + 0.735437i \(0.263023\pi\)
\(972\) −2.71881 4.70911i −0.0872058 0.151045i
\(973\) 31.2372 + 4.32208i 1.00142 + 0.138559i
\(974\) 66.1857i 2.12073i
\(975\) −27.0208 + 0.655415i −0.865359 + 0.0209901i
\(976\) 165.637 95.6305i 5.30191 3.06106i
\(977\) −7.88141 29.4138i −0.252149 0.941032i −0.969654 0.244479i \(-0.921383\pi\)
0.717506 0.696553i \(-0.245284\pi\)
\(978\) 24.1237i 0.771391i
\(979\) −2.31213 + 4.00472i −0.0738959 + 0.127991i
\(980\) 115.631 + 68.8075i 3.69370 + 2.19797i
\(981\) 1.90898 + 7.12442i 0.0609491 + 0.227465i
\(982\) −7.88981 + 29.4452i −0.251774 + 0.939633i
\(983\) −3.36354 0.901257i −0.107280 0.0287456i 0.204780 0.978808i \(-0.434352\pi\)
−0.312060 + 0.950062i \(0.601019\pi\)
\(984\) −27.1188 −0.864515
\(985\) 68.6950 2.18881
\(986\) 28.8082 + 7.71914i 0.917440 + 0.245827i
\(987\) −0.307792 2.46325i −0.00979713 0.0784060i
\(988\) −25.1012 6.07750i −0.798576 0.193351i
\(989\) 29.8904 51.7716i 0.950458 1.64624i
\(990\) 4.11597 1.10287i 0.130814 0.0350515i
\(991\) 13.5061 23.3933i 0.429036 0.743113i −0.567751 0.823200i \(-0.692187\pi\)
0.996788 + 0.0800871i \(0.0255199\pi\)
\(992\) 7.71051 + 13.3550i 0.244809 + 0.424021i
\(993\) 5.36907 + 5.36907i 0.170382 + 0.170382i
\(994\) 13.4689 + 1.86359i 0.427207 + 0.0591096i
\(995\) −60.8162 + 16.2956i −1.92800 + 0.516607i
\(996\) −17.3298 + 4.64352i −0.549117 + 0.147135i
\(997\) 20.9195i 0.662526i 0.943538 + 0.331263i \(0.107475\pi\)
−0.943538 + 0.331263i \(0.892525\pi\)
\(998\) −93.1950 53.8061i −2.95004 1.70320i
\(999\) 0.719109 0.719109i 0.0227516 0.0227516i
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.bt.a.145.9 36
3.2 odd 2 819.2.et.c.145.1 36
7.3 odd 6 273.2.cg.a.262.9 yes 36
13.7 odd 12 273.2.cg.a.124.9 yes 36
21.17 even 6 819.2.gh.c.262.1 36
39.20 even 12 819.2.gh.c.397.1 36
91.59 even 12 inner 273.2.bt.a.241.9 yes 36
273.59 odd 12 819.2.et.c.514.1 36
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
273.2.bt.a.145.9 36 1.1 even 1 trivial
273.2.bt.a.241.9 yes 36 91.59 even 12 inner
273.2.cg.a.124.9 yes 36 13.7 odd 12
273.2.cg.a.262.9 yes 36 7.3 odd 6
819.2.et.c.145.1 36 3.2 odd 2
819.2.et.c.514.1 36 273.59 odd 12
819.2.gh.c.262.1 36 21.17 even 6
819.2.gh.c.397.1 36 39.20 even 12