Properties

Label 847.2.n.e.487.1
Level $847$
Weight $2$
Character 847.487
Analytic conductor $6.763$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [847,2,Mod(9,847)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(847, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([10, 18]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("847.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 847 = 7 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 847.n (of order \(15\), degree \(8\), not 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: \(6.76332905120\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(3\) over \(\Q(\zeta_{15})\)
Twist minimal: no (minimal twist has level 77)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 487.1
Character \(\chi\) \(=\) 847.487
Dual form 847.2.n.e.807.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.27552 - 1.01313i) q^{2} +(0.697945 + 0.148353i) q^{3} +(2.81329 + 3.12448i) q^{4} +(-0.230423 + 2.19233i) q^{5} +(-1.43789 - 1.04469i) q^{6} +(-2.62811 + 0.304997i) q^{7} +(-1.69677 - 5.22212i) q^{8} +(-2.27552 - 1.01313i) q^{9} +O(q^{10})\) \(q+(-2.27552 - 1.01313i) q^{2} +(0.697945 + 0.148353i) q^{3} +(2.81329 + 3.12448i) q^{4} +(-0.230423 + 2.19233i) q^{5} +(-1.43789 - 1.04469i) q^{6} +(-2.62811 + 0.304997i) q^{7} +(-1.69677 - 5.22212i) q^{8} +(-2.27552 - 1.01313i) q^{9} +(2.74543 - 4.75523i) q^{10} +(1.50000 + 2.59808i) q^{12} +(2.65880 - 1.93173i) q^{13} +(6.28932 + 1.96858i) q^{14} +(-0.486060 + 1.49594i) q^{15} +(-0.550676 + 5.23933i) q^{16} +(1.36197 - 0.606389i) q^{17} +(4.15155 + 4.61077i) q^{18} +(-4.62901 + 5.14103i) q^{19} +(-7.49812 + 5.44770i) q^{20} +(-1.87953 - 0.177017i) q^{21} +(-3.24543 - 5.62125i) q^{23} +(-0.409536 - 3.89648i) q^{24} +(0.137541 + 0.0292353i) q^{25} +(-8.00724 + 1.70199i) q^{26} +(-3.16968 - 2.30291i) q^{27} +(-8.34661 - 7.35344i) q^{28} +(-0.509801 + 1.56901i) q^{29} +(2.62161 - 2.91160i) q^{30} +(0.245668 + 2.33737i) q^{31} +(1.07031 - 1.85383i) q^{32} -3.71354 q^{34} +(-0.0630756 - 5.83196i) q^{35} +(-3.23621 - 9.96003i) q^{36} +(5.43327 - 1.15488i) q^{37} +(15.7419 - 7.00874i) q^{38} +(2.14228 - 0.953804i) q^{39} +(11.8396 - 2.51658i) q^{40} +(-3.47642 - 10.6993i) q^{41} +(4.09755 + 2.30700i) q^{42} +5.26819 q^{43} +(2.74543 - 4.75523i) q^{45} +(1.69000 + 16.0793i) q^{46} +(0.997582 - 1.10793i) q^{47} +(-1.16161 + 3.57507i) q^{48} +(6.81395 - 1.60313i) q^{49} +(-0.283358 - 0.205872i) q^{50} +(1.04054 - 0.221174i) q^{51} +(13.5157 + 2.87284i) q^{52} +(-0.0318535 - 0.303065i) q^{53} +(4.87953 + 8.45159i) q^{54} +(6.05203 + 13.2068i) q^{56} +(-3.99348 + 2.90143i) q^{57} +(2.74966 - 3.05381i) q^{58} +(-8.47034 - 9.40726i) q^{59} +(-6.04146 + 2.68983i) q^{60} +(1.35696 - 12.9106i) q^{61} +(1.80903 - 5.56763i) q^{62} +(6.28932 + 1.96858i) q^{63} +(4.21045 - 3.05907i) q^{64} +(3.62234 + 6.27408i) q^{65} +(2.28646 - 3.96027i) q^{67} +(5.72628 + 2.54950i) q^{68} +(-1.43121 - 4.40480i) q^{69} +(-5.76498 + 13.3346i) q^{70} +(-9.16353 - 6.65769i) q^{71} +(-1.42963 + 13.6021i) q^{72} +(-5.73290 - 6.36703i) q^{73} +(-13.5335 - 2.87664i) q^{74} +(0.0916590 + 0.0408092i) q^{75} -29.0858 q^{76} -5.84111 q^{78} +(4.23107 + 1.88379i) q^{79} +(-11.3594 - 2.41452i) q^{80} +(3.12952 + 3.47568i) q^{81} +(-2.92910 + 27.8685i) q^{82} +(1.56643 + 1.13808i) q^{83} +(-4.73457 - 6.37054i) q^{84} +(1.01557 + 3.12561i) q^{85} +(-11.9879 - 5.33734i) q^{86} +(-0.588580 + 1.01945i) q^{87} +(-1.60220 - 2.77509i) q^{89} +(-11.0649 + 8.03913i) q^{90} +(-6.39846 + 5.88774i) q^{91} +(8.43313 - 25.9545i) q^{92} +(-0.175293 + 1.66781i) q^{93} +(-3.39249 + 1.51043i) q^{94} +(-10.2042 - 11.3329i) q^{95} +(1.02204 - 1.13509i) q^{96} +(-1.50428 + 1.09292i) q^{97} +(-17.1294 - 3.25544i) q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q - q^{3} + 4 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 24 q - q^{3} + 4 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 18 q^{8} + 36 q^{10} + 36 q^{12} + 22 q^{13} - 12 q^{14} + 14 q^{15} + 2 q^{16} - 3 q^{17} + 10 q^{18} - 11 q^{19} - 28 q^{20} + 40 q^{21} - 48 q^{23} + 2 q^{24} + 3 q^{25} + q^{26} - 4 q^{27} - 13 q^{28} + 18 q^{29} + 2 q^{30} - 3 q^{31} + 12 q^{32} - 80 q^{34} - 9 q^{35} + 18 q^{36} - 4 q^{37} + 8 q^{38} - 5 q^{39} - 3 q^{40} + 10 q^{41} + 2 q^{42} + 16 q^{43} + 36 q^{45} - 10 q^{46} - 3 q^{47} - 20 q^{48} + 24 q^{49} + 6 q^{50} + 2 q^{51} - 7 q^{52} + 17 q^{53} + 32 q^{54} + 12 q^{56} - 40 q^{57} - 13 q^{58} + 8 q^{59} + 6 q^{60} - 24 q^{61} - 26 q^{62} - 12 q^{63} + 14 q^{64} - 60 q^{65} + 64 q^{67} + 5 q^{68} + 6 q^{69} + 27 q^{70} - 14 q^{71} + 10 q^{72} - 20 q^{73} + 22 q^{74} + 25 q^{75} - 312 q^{76} - 48 q^{78} + 3 q^{79} + 9 q^{80} - 17 q^{81} + 41 q^{82} + 22 q^{83} - 12 q^{84} - 22 q^{85} - 21 q^{86} - 120 q^{87} - 4 q^{89} - 20 q^{90} + 15 q^{91} - 50 q^{92} - 26 q^{93} - 10 q^{94} - 17 q^{95} + 27 q^{96} - 18 q^{97} - 96 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/847\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(365\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{4}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.27552 1.01313i −1.60903 0.716388i −0.611821 0.790996i \(-0.709563\pi\)
−0.997213 + 0.0746086i \(0.976229\pi\)
\(3\) 0.697945 + 0.148353i 0.402959 + 0.0856516i 0.404933 0.914346i \(-0.367295\pi\)
−0.00197376 + 0.999998i \(0.500628\pi\)
\(4\) 2.81329 + 3.12448i 1.40665 + 1.56224i
\(5\) −0.230423 + 2.19233i −0.103048 + 0.980438i 0.813785 + 0.581167i \(0.197404\pi\)
−0.916833 + 0.399271i \(0.869263\pi\)
\(6\) −1.43789 1.04469i −0.587015 0.426491i
\(7\) −2.62811 + 0.304997i −0.993333 + 0.115278i
\(8\) −1.69677 5.22212i −0.599899 1.84630i
\(9\) −2.27552 1.01313i −0.758506 0.337709i
\(10\) 2.74543 4.75523i 0.868182 1.50373i
\(11\) 0 0
\(12\) 1.50000 + 2.59808i 0.433013 + 0.750000i
\(13\) 2.65880 1.93173i 0.737419 0.535767i −0.154482 0.987996i \(-0.549371\pi\)
0.891902 + 0.452229i \(0.149371\pi\)
\(14\) 6.28932 + 1.96858i 1.68089 + 0.526126i
\(15\) −0.486060 + 1.49594i −0.125500 + 0.386250i
\(16\) −0.550676 + 5.23933i −0.137669 + 1.30983i
\(17\) 1.36197 0.606389i 0.330327 0.147071i −0.234871 0.972027i \(-0.575467\pi\)
0.565197 + 0.824956i \(0.308800\pi\)
\(18\) 4.15155 + 4.61077i 0.978531 + 1.08677i
\(19\) −4.62901 + 5.14103i −1.06197 + 1.17943i −0.0787682 + 0.996893i \(0.525099\pi\)
−0.983198 + 0.182540i \(0.941568\pi\)
\(20\) −7.49812 + 5.44770i −1.67663 + 1.21814i
\(21\) −1.87953 0.177017i −0.410146 0.0386283i
\(22\) 0 0
\(23\) −3.24543 5.62125i −0.676719 1.17211i −0.975963 0.217936i \(-0.930068\pi\)
0.299244 0.954177i \(-0.403266\pi\)
\(24\) −0.409536 3.89648i −0.0835962 0.795365i
\(25\) 0.137541 + 0.0292353i 0.0275082 + 0.00584705i
\(26\) −8.00724 + 1.70199i −1.57035 + 0.333788i
\(27\) −3.16968 2.30291i −0.610005 0.443195i
\(28\) −8.34661 7.35344i −1.57736 1.38967i
\(29\) −0.509801 + 1.56901i −0.0946676 + 0.291357i −0.987167 0.159692i \(-0.948950\pi\)
0.892499 + 0.451049i \(0.148950\pi\)
\(30\) 2.62161 2.91160i 0.478639 0.531582i
\(31\) 0.245668 + 2.33737i 0.0441233 + 0.419805i 0.994180 + 0.107729i \(0.0343578\pi\)
−0.950057 + 0.312076i \(0.898976\pi\)
\(32\) 1.07031 1.85383i 0.189205 0.327713i
\(33\) 0 0
\(34\) −3.71354 −0.636867
\(35\) −0.0630756 5.83196i −0.0106617 0.985781i
\(36\) −3.23621 9.96003i −0.539368 1.66000i
\(37\) 5.43327 1.15488i 0.893224 0.189861i 0.261638 0.965166i \(-0.415737\pi\)
0.631586 + 0.775306i \(0.282404\pi\)
\(38\) 15.7419 7.00874i 2.55367 1.13697i
\(39\) 2.14228 0.953804i 0.343039 0.152731i
\(40\) 11.8396 2.51658i 1.87200 0.397906i
\(41\) −3.47642 10.6993i −0.542925 1.67095i −0.725873 0.687828i \(-0.758564\pi\)
0.182948 0.983123i \(-0.441436\pi\)
\(42\) 4.09755 + 2.30700i 0.632266 + 0.355978i
\(43\) 5.26819 0.803391 0.401696 0.915773i \(-0.368421\pi\)
0.401696 + 0.915773i \(0.368421\pi\)
\(44\) 0 0
\(45\) 2.74543 4.75523i 0.409265 0.708867i
\(46\) 1.69000 + 16.0793i 0.249177 + 2.37076i
\(47\) 0.997582 1.10793i 0.145512 0.161608i −0.665983 0.745967i \(-0.731988\pi\)
0.811495 + 0.584359i \(0.198654\pi\)
\(48\) −1.16161 + 3.57507i −0.167664 + 0.516017i
\(49\) 6.81395 1.60313i 0.973422 0.229019i
\(50\) −0.283358 0.205872i −0.0400729 0.0291147i
\(51\) 1.04054 0.221174i 0.145705 0.0309705i
\(52\) 13.5157 + 2.87284i 1.87428 + 0.398391i
\(53\) −0.0318535 0.303065i −0.00437541 0.0416292i 0.992116 0.125320i \(-0.0399958\pi\)
−0.996492 + 0.0836909i \(0.973329\pi\)
\(54\) 4.87953 + 8.45159i 0.664019 + 1.15012i
\(55\) 0 0
\(56\) 6.05203 + 13.2068i 0.808737 + 1.76483i
\(57\) −3.99348 + 2.90143i −0.528949 + 0.384304i
\(58\) 2.74966 3.05381i 0.361048 0.400985i
\(59\) −8.47034 9.40726i −1.10274 1.22472i −0.972417 0.233250i \(-0.925064\pi\)
−0.130327 0.991471i \(-0.541603\pi\)
\(60\) −6.04146 + 2.68983i −0.779950 + 0.347256i
\(61\) 1.35696 12.9106i 0.173741 1.65303i −0.466251 0.884653i \(-0.654396\pi\)
0.639992 0.768382i \(-0.278938\pi\)
\(62\) 1.80903 5.56763i 0.229747 0.707090i
\(63\) 6.28932 + 1.96858i 0.792379 + 0.248018i
\(64\) 4.21045 3.05907i 0.526306 0.382384i
\(65\) 3.62234 + 6.27408i 0.449296 + 0.778204i
\(66\) 0 0
\(67\) 2.28646 3.96027i 0.279336 0.483824i −0.691884 0.722009i \(-0.743219\pi\)
0.971220 + 0.238185i \(0.0765524\pi\)
\(68\) 5.72628 + 2.54950i 0.694413 + 0.309173i
\(69\) −1.43121 4.40480i −0.172297 0.530275i
\(70\) −5.76498 + 13.3346i −0.689046 + 1.59379i
\(71\) −9.16353 6.65769i −1.08751 0.790123i −0.108533 0.994093i \(-0.534615\pi\)
−0.978977 + 0.203970i \(0.934615\pi\)
\(72\) −1.42963 + 13.6021i −0.168484 + 1.60302i
\(73\) −5.73290 6.36703i −0.670986 0.745205i 0.307494 0.951550i \(-0.400510\pi\)
−0.978479 + 0.206345i \(0.933843\pi\)
\(74\) −13.5335 2.87664i −1.57324 0.334403i
\(75\) 0.0916590 + 0.0408092i 0.0105839 + 0.00471224i
\(76\) −29.0858 −3.33637
\(77\) 0 0
\(78\) −5.84111 −0.661376
\(79\) 4.23107 + 1.88379i 0.476032 + 0.211943i 0.630705 0.776023i \(-0.282766\pi\)
−0.154673 + 0.987966i \(0.549432\pi\)
\(80\) −11.3594 2.41452i −1.27002 0.269952i
\(81\) 3.12952 + 3.47568i 0.347724 + 0.386187i
\(82\) −2.92910 + 27.8685i −0.323465 + 3.07756i
\(83\) 1.56643 + 1.13808i 0.171938 + 0.124920i 0.670426 0.741976i \(-0.266111\pi\)
−0.498488 + 0.866896i \(0.666111\pi\)
\(84\) −4.73457 6.37054i −0.516584 0.695083i
\(85\) 1.01557 + 3.12561i 0.110154 + 0.339020i
\(86\) −11.9879 5.33734i −1.29268 0.575540i
\(87\) −0.588580 + 1.01945i −0.0631024 + 0.109297i
\(88\) 0 0
\(89\) −1.60220 2.77509i −0.169833 0.294159i 0.768528 0.639816i \(-0.220989\pi\)
−0.938361 + 0.345657i \(0.887656\pi\)
\(90\) −11.0649 + 8.03913i −1.16634 + 0.847399i
\(91\) −6.39846 + 5.88774i −0.670741 + 0.617203i
\(92\) 8.43313 25.9545i 0.879215 2.70595i
\(93\) −0.175293 + 1.66781i −0.0181771 + 0.172943i
\(94\) −3.39249 + 1.51043i −0.349908 + 0.155789i
\(95\) −10.2042 11.3329i −1.04693 1.16273i
\(96\) 1.02204 1.13509i 0.104311 0.115849i
\(97\) −1.50428 + 1.09292i −0.152736 + 0.110969i −0.661529 0.749920i \(-0.730092\pi\)
0.508793 + 0.860889i \(0.330092\pi\)
\(98\) −17.1294 3.25544i −1.73034 0.328849i
\(99\) 0 0
\(100\) 0.295598 + 0.511992i 0.0295598 + 0.0511992i
\(101\) −0.631928 6.01240i −0.0628792 0.598256i −0.979910 0.199440i \(-0.936088\pi\)
0.917031 0.398816i \(-0.130579\pi\)
\(102\) −2.59185 0.550914i −0.256631 0.0545486i
\(103\) 1.04054 0.221174i 0.102528 0.0217929i −0.156362 0.987700i \(-0.549977\pi\)
0.258890 + 0.965907i \(0.416643\pi\)
\(104\) −14.5991 10.6069i −1.43156 1.04009i
\(105\) 0.821164 4.07975i 0.0801374 0.398142i
\(106\) −0.234560 + 0.721902i −0.0227825 + 0.0701173i
\(107\) −4.23692 + 4.70558i −0.409598 + 0.454905i −0.912280 0.409566i \(-0.865680\pi\)
0.502682 + 0.864471i \(0.332347\pi\)
\(108\) −1.72185 16.3824i −0.165686 1.57639i
\(109\) 1.40694 2.43688i 0.134760 0.233411i −0.790746 0.612145i \(-0.790307\pi\)
0.925506 + 0.378734i \(0.123640\pi\)
\(110\) 0 0
\(111\) 3.96345 0.376194
\(112\) −0.150741 13.9375i −0.0142437 1.31697i
\(113\) −3.94115 12.1296i −0.370752 1.14106i −0.946300 0.323289i \(-0.895211\pi\)
0.575548 0.817768i \(-0.304789\pi\)
\(114\) 12.0267 2.55636i 1.12641 0.239425i
\(115\) 13.0714 5.81978i 1.21892 0.542697i
\(116\) −6.33655 + 2.82121i −0.588333 + 0.261943i
\(117\) −8.00724 + 1.70199i −0.740270 + 0.157349i
\(118\) 9.74366 + 29.9879i 0.896977 + 2.76061i
\(119\) −3.39447 + 2.00906i −0.311170 + 0.184170i
\(120\) 8.63671 0.788420
\(121\) 0 0
\(122\) −16.1679 + 28.0035i −1.46377 + 2.53532i
\(123\) −0.839075 7.98327i −0.0756569 0.719827i
\(124\) −6.61194 + 7.34331i −0.593770 + 0.659448i
\(125\) −3.50177 + 10.7774i −0.313208 + 0.963956i
\(126\) −12.3170 10.8514i −1.09729 0.966720i
\(127\) 10.0136 + 7.27531i 0.888563 + 0.645579i 0.935503 0.353319i \(-0.114947\pi\)
−0.0469396 + 0.998898i \(0.514947\pi\)
\(128\) −16.8678 + 3.58537i −1.49092 + 0.316905i
\(129\) 3.67691 + 0.781551i 0.323734 + 0.0688117i
\(130\) −1.88627 17.9467i −0.165437 1.57403i
\(131\) −0.379526 0.657359i −0.0331594 0.0574337i 0.848969 0.528442i \(-0.177224\pi\)
−0.882129 + 0.471008i \(0.843890\pi\)
\(132\) 0 0
\(133\) 10.5975 14.9230i 0.918924 1.29399i
\(134\) −9.21513 + 6.69519i −0.796066 + 0.578376i
\(135\) 5.77909 6.41833i 0.497385 0.552402i
\(136\) −5.47759 6.08348i −0.469699 0.521654i
\(137\) −5.33612 + 2.37579i −0.455896 + 0.202978i −0.621819 0.783161i \(-0.713606\pi\)
0.165924 + 0.986139i \(0.446940\pi\)
\(138\) −1.20588 + 11.4732i −0.102651 + 0.976662i
\(139\) −1.72213 + 5.30017i −0.146069 + 0.449554i −0.997147 0.0754852i \(-0.975949\pi\)
0.851078 + 0.525039i \(0.175949\pi\)
\(140\) 18.0444 16.6041i 1.52503 1.40330i
\(141\) 0.860622 0.625279i 0.0724775 0.0526580i
\(142\) 14.1067 + 24.4335i 1.18381 + 2.05041i
\(143\) 0 0
\(144\) 6.56117 11.3643i 0.546764 0.947023i
\(145\) −3.32230 1.47918i −0.275902 0.122840i
\(146\) 6.59472 + 20.2964i 0.545783 + 1.67975i
\(147\) 4.99360 0.108029i 0.411865 0.00891010i
\(148\) 18.8938 + 13.7271i 1.55306 + 1.12836i
\(149\) 0.104528 0.994522i 0.00856331 0.0814744i −0.989406 0.145178i \(-0.953625\pi\)
0.997969 + 0.0637035i \(0.0202912\pi\)
\(150\) −0.167227 0.185724i −0.0136540 0.0151643i
\(151\) −14.5168 3.08564i −1.18136 0.251106i −0.424958 0.905213i \(-0.639711\pi\)
−0.756402 + 0.654107i \(0.773045\pi\)
\(152\) 34.7014 + 15.4501i 2.81466 + 1.25317i
\(153\) −3.71354 −0.300222
\(154\) 0 0
\(155\) −5.18089 −0.416139
\(156\) 9.00700 + 4.01017i 0.721137 + 0.321071i
\(157\) −6.25088 1.32867i −0.498875 0.106039i −0.0483995 0.998828i \(-0.515412\pi\)
−0.450475 + 0.892789i \(0.648745\pi\)
\(158\) −7.71934 8.57320i −0.614118 0.682047i
\(159\) 0.0227287 0.216249i 0.00180250 0.0171496i
\(160\) 3.81757 + 2.77362i 0.301805 + 0.219274i
\(161\) 10.2438 + 13.7834i 0.807327 + 1.08629i
\(162\) −3.59997 11.0796i −0.282840 0.870493i
\(163\) 9.08538 + 4.04507i 0.711622 + 0.316834i 0.730429 0.682989i \(-0.239320\pi\)
−0.0188073 + 0.999823i \(0.505987\pi\)
\(164\) 23.6496 40.9623i 1.84672 3.19862i
\(165\) 0 0
\(166\) −2.41142 4.17670i −0.187163 0.324175i
\(167\) 1.57066 1.14115i 0.121542 0.0883051i −0.525354 0.850884i \(-0.676067\pi\)
0.646895 + 0.762579i \(0.276067\pi\)
\(168\) 2.26472 + 10.1155i 0.174727 + 0.780426i
\(169\) −0.679580 + 2.09153i −0.0522754 + 0.160887i
\(170\) 0.855683 8.14128i 0.0656279 0.624408i
\(171\) 15.7419 7.00874i 1.20381 0.535972i
\(172\) 14.8210 + 16.4603i 1.13009 + 1.25509i
\(173\) 4.30406 4.78014i 0.327231 0.363427i −0.556971 0.830532i \(-0.688036\pi\)
0.884202 + 0.467105i \(0.154703\pi\)
\(174\) 2.37215 1.72347i 0.179833 0.130656i
\(175\) −0.370390 0.0348840i −0.0279989 0.00263698i
\(176\) 0 0
\(177\) −4.51624 7.82235i −0.339461 0.587964i
\(178\) 0.834318 + 7.93800i 0.0625348 + 0.594978i
\(179\) 3.50760 + 0.745564i 0.262170 + 0.0557260i 0.337121 0.941461i \(-0.390547\pi\)
−0.0749510 + 0.997187i \(0.523880\pi\)
\(180\) 22.5813 4.79981i 1.68311 0.357756i
\(181\) −9.88082 7.17884i −0.734436 0.533599i 0.156528 0.987674i \(-0.449970\pi\)
−0.890964 + 0.454075i \(0.849970\pi\)
\(182\) 20.5248 6.91521i 1.52140 0.512589i
\(183\) 2.86241 8.80959i 0.211595 0.651224i
\(184\) −23.8481 + 26.4860i −1.75811 + 1.95257i
\(185\) 1.27992 + 12.1776i 0.0941014 + 0.895315i
\(186\) 2.08858 3.61753i 0.153142 0.265250i
\(187\) 0 0
\(188\) 6.26819 0.457155
\(189\) 9.03266 + 5.08556i 0.657029 + 0.369920i
\(190\) 11.7382 + 36.1263i 0.851575 + 2.62088i
\(191\) −11.8447 + 2.51767i −0.857051 + 0.182172i −0.615423 0.788197i \(-0.711015\pi\)
−0.241628 + 0.970369i \(0.577681\pi\)
\(192\) 3.39249 1.51043i 0.244832 0.109006i
\(193\) −10.9077 + 4.85641i −0.785152 + 0.349572i −0.759842 0.650107i \(-0.774724\pi\)
−0.0253099 + 0.999680i \(0.508057\pi\)
\(194\) 4.53027 0.962938i 0.325254 0.0691349i
\(195\) 1.59742 + 4.91635i 0.114394 + 0.352067i
\(196\) 24.1786 + 16.7800i 1.72704 + 1.19857i
\(197\) 12.1626 0.866551 0.433275 0.901262i \(-0.357358\pi\)
0.433275 + 0.901262i \(0.357358\pi\)
\(198\) 0 0
\(199\) −0.952451 + 1.64969i −0.0675174 + 0.116944i −0.897808 0.440387i \(-0.854841\pi\)
0.830290 + 0.557331i \(0.188174\pi\)
\(200\) −0.0807055 0.767862i −0.00570674 0.0542960i
\(201\) 2.18334 2.42485i 0.154001 0.171036i
\(202\) −4.65335 + 14.3215i −0.327408 + 1.00766i
\(203\) 0.861272 4.27901i 0.0604495 0.300328i
\(204\) 3.61840 + 2.62892i 0.253339 + 0.184061i
\(205\) 24.2574 5.15607i 1.69421 0.360116i
\(206\) −2.59185 0.550914i −0.180583 0.0383840i
\(207\) 1.69000 + 16.0793i 0.117463 + 1.11759i
\(208\) 8.65685 + 14.9941i 0.600245 + 1.03965i
\(209\) 0 0
\(210\) −6.00187 + 8.45159i −0.414168 + 0.583215i
\(211\) 13.1422 9.54838i 0.904748 0.657338i −0.0349331 0.999390i \(-0.511122\pi\)
0.939681 + 0.342052i \(0.111122\pi\)
\(212\) 0.857309 0.952138i 0.0588802 0.0653931i
\(213\) −5.40795 6.00614i −0.370547 0.411534i
\(214\) 14.4085 6.41509i 0.984946 0.438526i
\(215\) −1.21391 + 11.5496i −0.0827880 + 0.787675i
\(216\) −6.64784 + 20.4600i −0.452328 + 1.39212i
\(217\) −1.35854 6.06796i −0.0922234 0.411920i
\(218\) −5.67038 + 4.11977i −0.384046 + 0.279026i
\(219\) −3.05669 5.29434i −0.206552 0.357758i
\(220\) 0 0
\(221\) 2.44983 4.24324i 0.164794 0.285431i
\(222\) −9.01891 4.01548i −0.605310 0.269501i
\(223\) 0.938344 + 2.88793i 0.0628362 + 0.193390i 0.977546 0.210721i \(-0.0675811\pi\)
−0.914710 + 0.404111i \(0.867581\pi\)
\(224\) −2.24748 + 5.19850i −0.150166 + 0.347340i
\(225\) −0.283358 0.205872i −0.0188905 0.0137248i
\(226\) −3.32066 + 31.5940i −0.220887 + 2.10160i
\(227\) 12.3448 + 13.7103i 0.819356 + 0.909987i 0.997254 0.0740617i \(-0.0235962\pi\)
−0.177897 + 0.984049i \(0.556930\pi\)
\(228\) −20.3003 4.31496i −1.34442 0.285765i
\(229\) −23.2953 10.3717i −1.53939 0.685382i −0.550614 0.834760i \(-0.685606\pi\)
−0.988780 + 0.149378i \(0.952273\pi\)
\(230\) −35.6404 −2.35006
\(231\) 0 0
\(232\) 9.05855 0.594723
\(233\) 3.48756 + 1.55276i 0.228477 + 0.101725i 0.517783 0.855512i \(-0.326758\pi\)
−0.289305 + 0.957237i \(0.593424\pi\)
\(234\) 19.9449 + 4.23943i 1.30384 + 0.277140i
\(235\) 2.19907 + 2.44232i 0.143452 + 0.159319i
\(236\) 5.56325 52.9308i 0.362137 3.44550i
\(237\) 2.67359 + 1.94247i 0.173668 + 0.126177i
\(238\) 9.75960 1.13262i 0.632621 0.0734167i
\(239\) 4.01838 + 12.3673i 0.259927 + 0.799973i 0.992819 + 0.119628i \(0.0381702\pi\)
−0.732892 + 0.680345i \(0.761830\pi\)
\(240\) −7.57006 3.37041i −0.488645 0.217559i
\(241\) 0.225292 0.390216i 0.0145123 0.0251360i −0.858678 0.512515i \(-0.828714\pi\)
0.873190 + 0.487379i \(0.162047\pi\)
\(242\) 0 0
\(243\) 7.54551 + 13.0692i 0.484045 + 0.838391i
\(244\) 44.1565 32.0816i 2.82683 2.05381i
\(245\) 1.94450 + 15.3078i 0.124229 + 0.977980i
\(246\) −6.17872 + 19.0162i −0.393941 + 1.21243i
\(247\) −2.37651 + 22.6110i −0.151214 + 1.43870i
\(248\) 11.7892 5.24890i 0.748616 0.333305i
\(249\) 0.924445 + 1.02670i 0.0585843 + 0.0650645i
\(250\) 18.8872 20.9763i 1.19453 1.32666i
\(251\) −0.904971 + 0.657500i −0.0571213 + 0.0415010i −0.615980 0.787762i \(-0.711240\pi\)
0.558858 + 0.829263i \(0.311240\pi\)
\(252\) 11.5429 + 25.1890i 0.727134 + 1.58676i
\(253\) 0 0
\(254\) −15.4153 26.7001i −0.967243 1.67531i
\(255\) 0.245121 + 2.33217i 0.0153501 + 0.146046i
\(256\) 31.8342 + 6.76656i 1.98963 + 0.422910i
\(257\) 22.3405 4.74862i 1.39356 0.296211i 0.550864 0.834595i \(-0.314298\pi\)
0.842699 + 0.538384i \(0.180965\pi\)
\(258\) −7.57506 5.50360i −0.471603 0.342639i
\(259\) −13.9270 + 4.69228i −0.865382 + 0.291564i
\(260\) −9.41252 + 28.9688i −0.583740 + 1.79657i
\(261\) 2.74966 3.05381i 0.170200 0.189026i
\(262\) 0.197632 + 1.88034i 0.0122097 + 0.116168i
\(263\) 4.59568 7.95995i 0.283382 0.490832i −0.688834 0.724919i \(-0.741877\pi\)
0.972215 + 0.234088i \(0.0752103\pi\)
\(264\) 0 0
\(265\) 0.671758 0.0412658
\(266\) −39.2338 + 23.2210i −2.40558 + 1.42377i
\(267\) −0.706556 2.17455i −0.0432405 0.133081i
\(268\) 18.8063 3.99740i 1.14878 0.244180i
\(269\) −14.2634 + 6.35046i −0.869653 + 0.387195i −0.792534 0.609827i \(-0.791239\pi\)
−0.0771189 + 0.997022i \(0.524572\pi\)
\(270\) −19.6530 + 8.75007i −1.19604 + 0.532512i
\(271\) −27.1382 + 5.76841i −1.64853 + 0.350406i −0.936208 0.351447i \(-0.885690\pi\)
−0.712322 + 0.701853i \(0.752357\pi\)
\(272\) 2.42707 + 7.46974i 0.147163 + 0.452920i
\(273\) −5.33924 + 3.16009i −0.323146 + 0.191257i
\(274\) 14.5494 0.878962
\(275\) 0 0
\(276\) 9.73630 16.8638i 0.586056 1.01508i
\(277\) −1.54831 14.7312i −0.0930292 0.885114i −0.937142 0.348948i \(-0.886539\pi\)
0.844113 0.536166i \(-0.180128\pi\)
\(278\) 9.28847 10.3159i 0.557085 0.618706i
\(279\) 1.80903 5.56763i 0.108304 0.333325i
\(280\) −30.3482 + 10.2249i −1.81365 + 0.611053i
\(281\) −12.3154 8.94766i −0.734675 0.533773i 0.156364 0.987700i \(-0.450023\pi\)
−0.891039 + 0.453927i \(0.850023\pi\)
\(282\) −2.59185 + 0.550914i −0.154342 + 0.0328065i
\(283\) −21.2427 4.51527i −1.26275 0.268405i −0.472575 0.881290i \(-0.656676\pi\)
−0.790172 + 0.612885i \(0.790009\pi\)
\(284\) −4.97787 47.3613i −0.295382 2.81038i
\(285\) −5.44070 9.42356i −0.322279 0.558204i
\(286\) 0 0
\(287\) 12.3997 + 27.0587i 0.731929 + 1.59722i
\(288\) −4.31366 + 3.13406i −0.254185 + 0.184676i
\(289\) −9.88796 + 10.9817i −0.581645 + 0.645982i
\(290\) 6.06136 + 6.73182i 0.355935 + 0.395306i
\(291\) −1.21204 + 0.539635i −0.0710510 + 0.0316340i
\(292\) 3.76533 35.8247i 0.220349 2.09648i
\(293\) 3.43861 10.5830i 0.200886 0.618263i −0.798972 0.601369i \(-0.794622\pi\)
0.999857 0.0168939i \(-0.00537775\pi\)
\(294\) −11.4725 4.81332i −0.669088 0.280718i
\(295\) 22.5755 16.4021i 1.31440 0.954967i
\(296\) −15.2499 26.4136i −0.886383 1.53526i
\(297\) 0 0
\(298\) −1.24543 + 2.15715i −0.0721459 + 0.124960i
\(299\) −19.4877 8.67650i −1.12700 0.501775i
\(300\) 0.130356 + 0.401195i 0.00752612 + 0.0231630i
\(301\) −13.8454 + 1.60678i −0.798035 + 0.0926133i
\(302\) 29.9071 + 21.7288i 1.72096 + 1.25035i
\(303\) 0.450905 4.29007i 0.0259038 0.246458i
\(304\) −24.3865 27.0839i −1.39866 1.55337i
\(305\) 27.9916 + 5.94980i 1.60279 + 0.340684i
\(306\) 8.45022 + 3.76228i 0.483067 + 0.215075i
\(307\) 24.9855 1.42600 0.712998 0.701166i \(-0.247337\pi\)
0.712998 + 0.701166i \(0.247337\pi\)
\(308\) 0 0
\(309\) 0.759053 0.0431810
\(310\) 11.7892 + 5.24890i 0.669582 + 0.298117i
\(311\) −33.9816 7.22301i −1.92692 0.409580i −0.999355 0.0359194i \(-0.988564\pi\)
−0.927566 0.373660i \(-0.878103\pi\)
\(312\) −8.61583 9.56885i −0.487775 0.541730i
\(313\) −2.47831 + 23.5796i −0.140083 + 1.33280i 0.668191 + 0.743990i \(0.267069\pi\)
−0.808274 + 0.588807i \(0.799598\pi\)
\(314\) 12.8779 + 9.35633i 0.726741 + 0.528008i
\(315\) −5.76498 + 13.3346i −0.324820 + 0.751321i
\(316\) 6.01736 + 18.5195i 0.338503 + 1.04181i
\(317\) 17.9758 + 8.00335i 1.00962 + 0.449513i 0.843809 0.536644i \(-0.180308\pi\)
0.165814 + 0.986157i \(0.446975\pi\)
\(318\) −0.270807 + 0.469051i −0.0151861 + 0.0263031i
\(319\) 0 0
\(320\) 5.73630 + 9.93556i 0.320669 + 0.555414i
\(321\) −3.65522 + 2.65568i −0.204015 + 0.148225i
\(322\) −9.34565 41.7427i −0.520812 2.32623i
\(323\) −3.18711 + 9.80892i −0.177336 + 0.545783i
\(324\) −2.05544 + 19.5562i −0.114191 + 1.08646i
\(325\) 0.422169 0.187962i 0.0234177 0.0104263i
\(326\) −16.5758 18.4093i −0.918047 1.01959i
\(327\) 1.34348 1.49209i 0.0742948 0.0825127i
\(328\) −49.9744 + 36.3085i −2.75937 + 2.00480i
\(329\) −2.28384 + 3.21602i −0.125912 + 0.177305i
\(330\) 0 0
\(331\) 14.0949 + 24.4131i 0.774728 + 1.34187i 0.934947 + 0.354786i \(0.115446\pi\)
−0.160220 + 0.987081i \(0.551220\pi\)
\(332\) 0.850926 + 8.09602i 0.0467006 + 0.444327i
\(333\) −13.5335 2.87664i −0.741633 0.157639i
\(334\) −4.73020 + 1.00544i −0.258825 + 0.0550150i
\(335\) 8.15535 + 5.92521i 0.445574 + 0.323729i
\(336\) 1.96246 9.74998i 0.107061 0.531905i
\(337\) 6.71989 20.6817i 0.366056 1.12660i −0.583262 0.812284i \(-0.698224\pi\)
0.949317 0.314319i \(-0.101776\pi\)
\(338\) 3.66538 4.07082i 0.199370 0.221423i
\(339\) −0.951244 9.05048i −0.0516645 0.491555i
\(340\) −6.90880 + 11.9664i −0.374682 + 0.648969i
\(341\) 0 0
\(342\) −42.9217 −2.32094
\(343\) −17.4189 + 6.29145i −0.940532 + 0.339706i
\(344\) −8.93891 27.5111i −0.481954 1.48330i
\(345\) 9.98653 2.12270i 0.537657 0.114282i
\(346\) −14.6368 + 6.51674i −0.786881 + 0.350342i
\(347\) −3.60069 + 1.60313i −0.193295 + 0.0860606i −0.501102 0.865388i \(-0.667072\pi\)
0.307806 + 0.951449i \(0.400405\pi\)
\(348\) −4.84110 + 1.02901i −0.259510 + 0.0551606i
\(349\) −4.36001 13.4187i −0.233386 0.718289i −0.997331 0.0730077i \(-0.976740\pi\)
0.763945 0.645281i \(-0.223260\pi\)
\(350\) 0.807487 + 0.454631i 0.0431620 + 0.0243010i
\(351\) −12.8762 −0.687279
\(352\) 0 0
\(353\) 2.48434 4.30301i 0.132228 0.229026i −0.792307 0.610123i \(-0.791120\pi\)
0.924535 + 0.381097i \(0.124453\pi\)
\(354\) 2.35175 + 22.3754i 0.124994 + 1.18924i
\(355\) 16.7073 18.5554i 0.886732 0.984816i
\(356\) 4.16326 12.8132i 0.220652 0.679098i
\(357\) −2.66720 + 0.898632i −0.141163 + 0.0475606i
\(358\) −7.22626 5.25018i −0.381919 0.277481i
\(359\) 3.98262 0.846531i 0.210195 0.0446782i −0.101611 0.994824i \(-0.532400\pi\)
0.311805 + 0.950146i \(0.399066\pi\)
\(360\) −29.4907 6.26845i −1.55430 0.330376i
\(361\) −3.01647 28.6998i −0.158762 1.51052i
\(362\) 15.2109 + 26.3461i 0.799468 + 1.38472i
\(363\) 0 0
\(364\) −36.3969 3.42792i −1.90772 0.179672i
\(365\) 15.2796 11.1013i 0.799771 0.581068i
\(366\) −15.4387 + 17.1464i −0.806993 + 0.896257i
\(367\) −12.0591 13.3930i −0.629479 0.699107i 0.341063 0.940040i \(-0.389213\pi\)
−0.970542 + 0.240934i \(0.922546\pi\)
\(368\) 31.2388 13.9084i 1.62843 0.725025i
\(369\) −2.92910 + 27.8685i −0.152483 + 1.45078i
\(370\) 9.42497 29.0071i 0.489981 1.50801i
\(371\) 0.176149 + 0.786775i 0.00914518 + 0.0408473i
\(372\) −5.70418 + 4.14433i −0.295748 + 0.214873i
\(373\) −14.4582 25.0424i −0.748618 1.29664i −0.948485 0.316822i \(-0.897384\pi\)
0.199867 0.979823i \(-0.435949\pi\)
\(374\) 0 0
\(375\) −4.04290 + 7.00250i −0.208774 + 0.361608i
\(376\) −7.47840 3.32960i −0.385669 0.171711i
\(377\) 1.67544 + 5.15648i 0.0862896 + 0.265572i
\(378\) −15.4017 20.7235i −0.792176 1.06590i
\(379\) −3.48563 2.53246i −0.179045 0.130083i 0.494653 0.869090i \(-0.335295\pi\)
−0.673698 + 0.739007i \(0.735295\pi\)
\(380\) 6.70203 63.7655i 0.343807 3.27110i
\(381\) 5.90963 + 6.56331i 0.302760 + 0.336249i
\(382\) 29.5035 + 6.27116i 1.50953 + 0.320861i
\(383\) −11.2811 5.02269i −0.576440 0.256647i 0.0977436 0.995212i \(-0.468837\pi\)
−0.674183 + 0.738564i \(0.735504\pi\)
\(384\) −12.3047 −0.627923
\(385\) 0 0
\(386\) 29.7408 1.51377
\(387\) −11.9879 5.33734i −0.609377 0.271312i
\(388\) −7.64677 1.62537i −0.388206 0.0825157i
\(389\) 19.6878 + 21.8656i 0.998213 + 1.10863i 0.994082 + 0.108636i \(0.0346484\pi\)
0.00413126 + 0.999991i \(0.498685\pi\)
\(390\) 1.34593 12.8056i 0.0681536 0.648438i
\(391\) −7.82885 5.68799i −0.395922 0.287654i
\(392\) −19.9335 32.8631i −1.00679 1.65984i
\(393\) −0.167368 0.515105i −0.00844258 0.0259836i
\(394\) −27.6763 12.3223i −1.39431 0.620787i
\(395\) −5.10482 + 8.84180i −0.256851 + 0.444879i
\(396\) 0 0
\(397\) 8.64975 + 14.9818i 0.434119 + 0.751915i 0.997223 0.0744702i \(-0.0237266\pi\)
−0.563105 + 0.826386i \(0.690393\pi\)
\(398\) 3.83866 2.78895i 0.192415 0.139798i
\(399\) 9.61039 8.84329i 0.481121 0.442718i
\(400\) −0.228914 + 0.704524i −0.0114457 + 0.0352262i
\(401\) 2.60803 24.8137i 0.130239 1.23914i −0.712832 0.701335i \(-0.752588\pi\)
0.843070 0.537803i \(-0.180746\pi\)
\(402\) −7.42491 + 3.30578i −0.370321 + 0.164877i
\(403\) 5.16837 + 5.74006i 0.257455 + 0.285933i
\(404\) 17.0078 18.8891i 0.846170 0.939767i
\(405\) −8.34094 + 6.06005i −0.414465 + 0.301126i
\(406\) −6.29502 + 8.86439i −0.312416 + 0.439932i
\(407\) 0 0
\(408\) −2.92056 5.05855i −0.144589 0.250436i
\(409\) 4.03045 + 38.3472i 0.199293 + 1.89615i 0.400033 + 0.916501i \(0.368999\pi\)
−0.200741 + 0.979644i \(0.564335\pi\)
\(410\) −60.4219 12.8431i −2.98402 0.634274i
\(411\) −4.07678 + 0.866546i −0.201093 + 0.0427436i
\(412\) 3.61840 + 2.62892i 0.178266 + 0.129518i
\(413\) 25.1302 + 22.1399i 1.23658 + 1.08943i
\(414\) 12.4447 38.3009i 0.611624 1.88239i
\(415\) −2.85598 + 3.17188i −0.140194 + 0.155702i
\(416\) −0.735363 6.99651i −0.0360541 0.343032i
\(417\) −1.98825 + 3.44374i −0.0973648 + 0.168641i
\(418\) 0 0
\(419\) 0.908970 0.0444061 0.0222030 0.999753i \(-0.492932\pi\)
0.0222030 + 0.999753i \(0.492932\pi\)
\(420\) 15.0573 8.91181i 0.734719 0.434852i
\(421\) 4.80619 + 14.7919i 0.234239 + 0.720914i 0.997221 + 0.0744948i \(0.0237344\pi\)
−0.762982 + 0.646420i \(0.776266\pi\)
\(422\) −39.5791 + 8.41279i −1.92668 + 0.409528i
\(423\) −3.39249 + 1.51043i −0.164948 + 0.0734397i
\(424\) −1.52860 + 0.680575i −0.0742352 + 0.0330516i
\(425\) 0.205055 0.0435858i 0.00994663 0.00211422i
\(426\) 6.22092 + 19.1460i 0.301404 + 0.927627i
\(427\) 0.371452 + 34.3444i 0.0179758 + 1.66204i
\(428\) −26.6222 −1.28683
\(429\) 0 0
\(430\) 14.4635 25.0514i 0.697490 1.20809i
\(431\) −0.369652 3.51701i −0.0178055 0.169408i 0.982005 0.188853i \(-0.0604769\pi\)
−0.999811 + 0.0194445i \(0.993810\pi\)
\(432\) 13.8112 15.3388i 0.664489 0.737990i
\(433\) 5.45282 16.7820i 0.262046 0.806493i −0.730314 0.683112i \(-0.760626\pi\)
0.992359 0.123381i \(-0.0393739\pi\)
\(434\) −3.05623 + 15.1841i −0.146704 + 0.728860i
\(435\) −2.09934 1.52526i −0.100656 0.0731307i
\(436\) 11.5721 2.45973i 0.554204 0.117800i
\(437\) 43.9222 + 9.33594i 2.10108 + 0.446599i
\(438\) 1.59172 + 15.1442i 0.0760551 + 0.723616i
\(439\) −7.51362 13.0140i −0.358606 0.621123i 0.629123 0.777306i \(-0.283414\pi\)
−0.987728 + 0.156183i \(0.950081\pi\)
\(440\) 0 0
\(441\) −17.1294 3.25544i −0.815688 0.155021i
\(442\) −9.87357 + 7.17357i −0.469638 + 0.341212i
\(443\) 8.84770 9.82636i 0.420367 0.466865i −0.495347 0.868695i \(-0.664959\pi\)
0.915714 + 0.401830i \(0.131626\pi\)
\(444\) 11.1504 + 12.3837i 0.529173 + 0.587706i
\(445\) 6.45309 2.87310i 0.305906 0.136198i
\(446\) 0.790614 7.52219i 0.0374366 0.356186i
\(447\) 0.220495 0.678615i 0.0104291 0.0320974i
\(448\) −10.1325 + 9.32376i −0.478717 + 0.440506i
\(449\) 8.01626 5.82415i 0.378310 0.274859i −0.382338 0.924022i \(-0.624881\pi\)
0.760649 + 0.649164i \(0.224881\pi\)
\(450\) 0.436212 + 0.755542i 0.0205632 + 0.0356166i
\(451\) 0 0
\(452\) 26.8111 46.4382i 1.26109 2.18427i
\(453\) −9.67417 4.30722i −0.454532 0.202371i
\(454\) −14.2006 43.7050i −0.666468 2.05118i
\(455\) −11.4335 15.3842i −0.536011 0.721222i
\(456\) 21.9277 + 15.9314i 1.02686 + 0.746055i
\(457\) −1.08135 + 10.2883i −0.0505834 + 0.481268i 0.939679 + 0.342057i \(0.111124\pi\)
−0.990263 + 0.139212i \(0.955543\pi\)
\(458\) 42.5009 + 47.2020i 1.98594 + 2.20561i
\(459\) −5.71347 1.21444i −0.266682 0.0566850i
\(460\) 54.9576 + 24.4687i 2.56241 + 1.14086i
\(461\) −15.3372 −0.714325 −0.357163 0.934042i \(-0.616256\pi\)
−0.357163 + 0.934042i \(0.616256\pi\)
\(462\) 0 0
\(463\) −25.1313 −1.16795 −0.583976 0.811771i \(-0.698504\pi\)
−0.583976 + 0.811771i \(0.698504\pi\)
\(464\) −7.93980 3.53503i −0.368596 0.164110i
\(465\) −3.61598 0.768601i −0.167687 0.0356430i
\(466\) −6.36285 7.06667i −0.294754 0.327357i
\(467\) 0.0779798 0.741928i 0.00360847 0.0343323i −0.992569 0.121679i \(-0.961172\pi\)
0.996178 + 0.0873467i \(0.0278388\pi\)
\(468\) −27.8446 20.2303i −1.28712 0.935144i
\(469\) −4.80121 + 11.1054i −0.221699 + 0.512800i
\(470\) −2.52965 7.78547i −0.116684 0.359117i
\(471\) −4.16566 1.85467i −0.191944 0.0854588i
\(472\) −34.7537 + 60.1951i −1.59967 + 2.77070i
\(473\) 0 0
\(474\) −4.11582 7.12881i −0.189046 0.327437i
\(475\) −0.786978 + 0.571773i −0.0361090 + 0.0262347i
\(476\) −15.8269 4.95388i −0.725424 0.227061i
\(477\) −0.234560 + 0.721902i −0.0107398 + 0.0330536i
\(478\) 3.38573 32.2131i 0.154860 1.47339i
\(479\) −18.3742 + 8.18071i −0.839537 + 0.373786i −0.781024 0.624500i \(-0.785303\pi\)
−0.0585130 + 0.998287i \(0.518636\pi\)
\(480\) 2.25298 + 2.50219i 0.102834 + 0.114209i
\(481\) 12.2151 13.5662i 0.556960 0.618566i
\(482\) −0.907993 + 0.659696i −0.0413579 + 0.0300483i
\(483\) 5.10482 + 11.1398i 0.232277 + 0.506878i
\(484\) 0 0
\(485\) −2.04942 3.54969i −0.0930592 0.161183i
\(486\) −3.92919 37.3838i −0.178232 1.69576i
\(487\) 4.15705 + 0.883607i 0.188374 + 0.0400401i 0.301132 0.953582i \(-0.402635\pi\)
−0.112759 + 0.993622i \(0.535969\pi\)
\(488\) −69.7232 + 14.8201i −3.15622 + 0.670876i
\(489\) 5.74100 + 4.17108i 0.259617 + 0.188623i
\(490\) 11.0840 36.8032i 0.500723 1.66260i
\(491\) 9.37184 28.8436i 0.422945 1.30169i −0.482003 0.876170i \(-0.660091\pi\)
0.904948 0.425522i \(-0.139909\pi\)
\(492\) 22.5830 25.0810i 1.01812 1.13074i
\(493\) 0.257093 + 2.44608i 0.0115789 + 0.110166i
\(494\) 28.3156 49.0440i 1.27398 2.20659i
\(495\) 0 0
\(496\) −12.3816 −0.555948
\(497\) 26.1134 + 14.7023i 1.17134 + 0.659489i
\(498\) −1.06341 3.27285i −0.0476527 0.146660i
\(499\) −14.1257 + 3.00251i −0.632353 + 0.134411i −0.512927 0.858432i \(-0.671439\pi\)
−0.119426 + 0.992843i \(0.538106\pi\)
\(500\) −43.5251 + 19.3786i −1.94650 + 0.866639i
\(501\) 1.26553 0.563451i 0.0565397 0.0251731i
\(502\) 2.72541 0.579303i 0.121641 0.0258556i
\(503\) −0.914140 2.81343i −0.0407595 0.125445i 0.928606 0.371067i \(-0.121008\pi\)
−0.969366 + 0.245622i \(0.921008\pi\)
\(504\) −0.391346 36.1838i −0.0174319 1.61175i
\(505\) 13.3267 0.593032
\(506\) 0 0
\(507\) −0.784595 + 1.35896i −0.0348451 + 0.0603534i
\(508\) 5.43966 + 51.7549i 0.241346 + 2.29625i
\(509\) −16.7220 + 18.5717i −0.741191 + 0.823176i −0.989352 0.145542i \(-0.953507\pi\)
0.248161 + 0.968719i \(0.420174\pi\)
\(510\) 1.80500 5.55523i 0.0799269 0.245990i
\(511\) 17.0086 + 14.9848i 0.752418 + 0.662887i
\(512\) −37.6813 27.3771i −1.66529 1.20991i
\(513\) 26.5118 5.63525i 1.17052 0.248802i
\(514\) −55.6472 11.8282i −2.45449 0.521718i
\(515\) 0.245121 + 2.33217i 0.0108013 + 0.102768i
\(516\) 7.90228 + 13.6872i 0.347879 + 0.602544i
\(517\) 0 0
\(518\) 36.4450 + 3.43245i 1.60130 + 0.150813i
\(519\) 3.71314 2.69776i 0.162989 0.118418i
\(520\) 26.6177 29.5620i 1.16726 1.29638i
\(521\) 19.3132 + 21.4495i 0.846127 + 0.939719i 0.998821 0.0485548i \(-0.0154615\pi\)
−0.152694 + 0.988274i \(0.548795\pi\)
\(522\) −9.35079 + 4.16324i −0.409273 + 0.182220i
\(523\) −0.0493992 + 0.470002i −0.00216008 + 0.0205518i −0.995549 0.0942470i \(-0.969956\pi\)
0.993389 + 0.114799i \(0.0366223\pi\)
\(524\) 0.986185 3.03517i 0.0430817 0.132592i
\(525\) −0.253337 0.0792955i −0.0110565 0.00346074i
\(526\) −18.5220 + 13.4570i −0.807597 + 0.586754i
\(527\) 1.75195 + 3.03447i 0.0763162 + 0.132184i
\(528\) 0 0
\(529\) −9.56566 + 16.5682i −0.415898 + 0.720357i
\(530\) −1.52860 0.680575i −0.0663980 0.0295623i
\(531\) 9.74366 + 29.9879i 0.422839 + 1.30136i
\(532\) 76.4408 8.87108i 3.31413 0.384610i
\(533\) −29.9113 21.7318i −1.29560 0.941311i
\(534\) −0.595317 + 5.66407i −0.0257619 + 0.245108i
\(535\) −9.33987 10.3730i −0.403798 0.448463i
\(536\) −24.5606 5.22052i −1.06086 0.225492i
\(537\) 2.33751 + 1.04073i 0.100871 + 0.0449106i
\(538\) 38.8904 1.67668
\(539\) 0 0
\(540\) 36.3122 1.56263
\(541\) 14.1230 + 6.28797i 0.607195 + 0.270341i 0.687217 0.726452i \(-0.258832\pi\)
−0.0800215 + 0.996793i \(0.525499\pi\)
\(542\) 67.5976 + 14.3683i 2.90357 + 0.617172i
\(543\) −5.83127 6.47629i −0.250244 0.277924i
\(544\) 0.333588 3.17388i 0.0143025 0.136079i
\(545\) 5.01825 + 3.64597i 0.214958 + 0.156176i
\(546\) 15.3511 1.78152i 0.656967 0.0762421i
\(547\) −10.8292 33.3288i −0.463023 1.42504i −0.861452 0.507839i \(-0.830444\pi\)
0.398429 0.917199i \(-0.369556\pi\)
\(548\) −22.4352 9.98880i −0.958384 0.426700i
\(549\) −16.1679 + 28.0035i −0.690027 + 1.19516i
\(550\) 0 0
\(551\) −5.70644 9.88384i −0.243102 0.421066i
\(552\) −20.5740 + 14.9479i −0.875686 + 0.636223i
\(553\) −11.6943 3.66036i −0.497291 0.155654i
\(554\) −11.4014 + 35.0898i −0.484398 + 1.49082i
\(555\) −0.913270 + 8.68918i −0.0387661 + 0.368835i
\(556\) −21.4051 + 9.53017i −0.907779 + 0.404169i
\(557\) 7.04771 + 7.82728i 0.298621 + 0.331652i 0.873718 0.486433i \(-0.161702\pi\)
−0.575097 + 0.818085i \(0.695036\pi\)
\(558\) −9.75719 + 10.8365i −0.413055 + 0.458744i
\(559\) 14.0071 10.1767i 0.592436 0.430430i
\(560\) 30.5903 + 2.88104i 1.29268 + 0.121746i
\(561\) 0 0
\(562\) 18.9588 + 32.8376i 0.799729 + 1.38517i
\(563\) 3.21056 + 30.5464i 0.135309 + 1.28738i 0.825769 + 0.564009i \(0.190742\pi\)
−0.690460 + 0.723371i \(0.742592\pi\)
\(564\) 4.37485 + 0.929904i 0.184215 + 0.0391560i
\(565\) 27.5002 5.84534i 1.15694 0.245915i
\(566\) 43.7636 + 31.7961i 1.83952 + 1.33649i
\(567\) −9.28480 8.17999i −0.389925 0.343527i
\(568\) −19.2189 + 59.1496i −0.806406 + 2.48186i
\(569\) −20.5905 + 22.8681i −0.863201 + 0.958681i −0.999488 0.0319878i \(-0.989816\pi\)
0.136288 + 0.990669i \(0.456483\pi\)
\(570\) 2.83315 + 26.9556i 0.118667 + 1.12905i
\(571\) 3.75847 6.50986i 0.157287 0.272429i −0.776602 0.629991i \(-0.783059\pi\)
0.933889 + 0.357562i \(0.116392\pi\)
\(572\) 0 0
\(573\) −8.64045 −0.360960
\(574\) −0.801807 74.1349i −0.0334668 3.09433i
\(575\) −0.282041 0.868034i −0.0117619 0.0361995i
\(576\) −12.6802 + 2.69525i −0.528340 + 0.112302i
\(577\) 25.2307 11.2334i 1.05037 0.467654i 0.192378 0.981321i \(-0.438380\pi\)
0.857990 + 0.513667i \(0.171713\pi\)
\(578\) 33.6261 14.9713i 1.39866 0.622723i
\(579\) −8.33343 + 1.77133i −0.346326 + 0.0736138i
\(580\) −4.72493 14.5418i −0.196192 0.603817i
\(581\) −4.46386 2.51324i −0.185192 0.104267i
\(582\) 3.30473 0.136986
\(583\) 0 0
\(584\) −23.5220 + 40.7413i −0.973348 + 1.68589i
\(585\) −1.88627 17.9467i −0.0779877 0.742003i
\(586\) −18.5465 + 20.5979i −0.766148 + 0.850893i
\(587\) −9.25760 + 28.4920i −0.382102 + 1.17599i 0.556459 + 0.830875i \(0.312160\pi\)
−0.938561 + 0.345114i \(0.887840\pi\)
\(588\) 14.3860 + 15.2985i 0.593268 + 0.630898i
\(589\) −13.1537 9.55673i −0.541989 0.393778i
\(590\) −67.9884 + 14.4514i −2.79904 + 0.594954i
\(591\) 8.48885 + 1.80436i 0.349184 + 0.0742214i
\(592\) 3.05881 + 29.1026i 0.125716 + 1.19611i
\(593\) −6.33401 10.9708i −0.260107 0.450518i 0.706163 0.708049i \(-0.250424\pi\)
−0.966270 + 0.257531i \(0.917091\pi\)
\(594\) 0 0
\(595\) −3.62234 7.90471i −0.148502 0.324062i
\(596\) 3.40143 2.47129i 0.139328 0.101228i
\(597\) −0.909495 + 1.01010i −0.0372232 + 0.0413405i
\(598\) 35.5543 + 39.4870i 1.45392 + 1.61474i
\(599\) 1.18237 0.526425i 0.0483104 0.0215092i −0.382439 0.923981i \(-0.624916\pi\)
0.430750 + 0.902471i \(0.358249\pi\)
\(600\) 0.0575864 0.547898i 0.00235096 0.0223679i
\(601\) −12.6765 + 39.0142i −0.517085 + 1.59142i 0.262371 + 0.964967i \(0.415496\pi\)
−0.779456 + 0.626457i \(0.784504\pi\)
\(602\) 33.1333 + 10.3709i 1.35041 + 0.422685i
\(603\) −9.21513 + 6.69519i −0.375269 + 0.272649i
\(604\) −31.1990 54.0383i −1.26947 2.19879i
\(605\) 0 0
\(606\) −5.37242 + 9.30531i −0.218240 + 0.378002i
\(607\) −19.3460 8.61339i −0.785230 0.349607i −0.0253568 0.999678i \(-0.508072\pi\)
−0.759873 + 0.650072i \(0.774739\pi\)
\(608\) 4.57612 + 14.0839i 0.185586 + 0.571176i
\(609\) 1.23592 2.85874i 0.0500822 0.115842i
\(610\) −57.6675 41.8979i −2.33489 1.69639i
\(611\) 0.512155 4.87283i 0.0207196 0.197133i
\(612\) −10.4473 11.6029i −0.422306 0.469018i
\(613\) −6.61533 1.40613i −0.267191 0.0567931i 0.0723680 0.997378i \(-0.476944\pi\)
−0.339559 + 0.940585i \(0.610278\pi\)
\(614\) −56.8548 25.3134i −2.29447 1.02157i
\(615\) 17.6953 0.713542
\(616\) 0 0
\(617\) −41.0728 −1.65353 −0.826763 0.562550i \(-0.809820\pi\)
−0.826763 + 0.562550i \(0.809820\pi\)
\(618\) −1.72724 0.769016i −0.0694797 0.0309344i
\(619\) 29.7618 + 6.32608i 1.19623 + 0.254266i 0.762627 0.646838i \(-0.223909\pi\)
0.433602 + 0.901104i \(0.357242\pi\)
\(620\) −14.5754 16.1876i −0.585361 0.650110i
\(621\) −2.65824 + 25.2915i −0.106672 + 1.01491i
\(622\) 70.0079 + 50.8637i 2.80706 + 2.03945i
\(623\) 5.05716 + 6.80459i 0.202611 + 0.272620i
\(624\) 3.81759 + 11.7493i 0.152826 + 0.470350i
\(625\) −22.1783 9.87441i −0.887132 0.394976i
\(626\) 29.5285 51.1449i 1.18020 2.04416i
\(627\) 0 0
\(628\) −13.4342 23.2687i −0.536082 0.928521i
\(629\) 6.69965 4.86758i 0.267133 0.194083i
\(630\) 26.6279 24.5025i 1.06088 0.976204i
\(631\) 3.82162 11.7617i 0.152136 0.468227i −0.845723 0.533622i \(-0.820831\pi\)
0.997859 + 0.0653945i \(0.0208306\pi\)
\(632\) 2.65824 25.2915i 0.105739 1.00604i
\(633\) 10.5891 4.71456i 0.420878 0.187387i
\(634\) −32.7959 36.4235i −1.30249 1.44656i
\(635\) −18.2572 + 20.2767i −0.724515 + 0.804655i
\(636\) 0.739607 0.537356i 0.0293273 0.0213075i
\(637\) 15.0201 17.4252i 0.595120 0.690410i
\(638\) 0 0
\(639\) 14.1067 + 24.4335i 0.558052 + 0.966574i
\(640\) −3.97357 37.8060i −0.157069 1.49441i
\(641\) 46.1014 + 9.79915i 1.82089 + 0.387043i 0.986452 0.164051i \(-0.0524561\pi\)
0.834443 + 0.551094i \(0.185789\pi\)
\(642\) 11.0081 2.33984i 0.434453 0.0923459i
\(643\) −1.51482 1.10058i −0.0597388 0.0434028i 0.557515 0.830167i \(-0.311755\pi\)
−0.617254 + 0.786764i \(0.711755\pi\)
\(644\) −14.2472 + 70.7835i −0.561418 + 2.78926i
\(645\) −2.56066 + 7.88089i −0.100826 + 0.310310i
\(646\) 17.1900 19.0914i 0.676331 0.751142i
\(647\) 0.191902 + 1.82582i 0.00754443 + 0.0717805i 0.997646 0.0685701i \(-0.0218437\pi\)
−0.990102 + 0.140351i \(0.955177\pi\)
\(648\) 12.8404 22.2402i 0.504417 0.873676i
\(649\) 0 0
\(650\) −1.15108 −0.0451492
\(651\) −0.0479846 4.43665i −0.00188066 0.173886i
\(652\) 12.9211 + 39.7670i 0.506029 + 1.55740i
\(653\) 17.7799 3.77924i 0.695783 0.147893i 0.153574 0.988137i \(-0.450922\pi\)
0.542209 + 0.840244i \(0.317588\pi\)
\(654\) −4.56879 + 2.03416i −0.178654 + 0.0795418i
\(655\) 1.52860 0.680575i 0.0597272 0.0265923i
\(656\) 57.9716 12.3222i 2.26341 0.481103i
\(657\) 6.59472 + 20.2964i 0.257284 + 0.791840i
\(658\) 8.45516 5.00428i 0.329616 0.195087i
\(659\) −16.8997 −0.658318 −0.329159 0.944275i \(-0.606765\pi\)
−0.329159 + 0.944275i \(0.606765\pi\)
\(660\) 0 0
\(661\) 22.6516 39.2338i 0.881046 1.52602i 0.0308661 0.999524i \(-0.490173\pi\)
0.850180 0.526493i \(-0.176493\pi\)
\(662\) −7.33969 69.8324i −0.285265 2.71412i
\(663\) 2.33935 2.59811i 0.0908527 0.100902i
\(664\) 3.28531 10.1111i 0.127495 0.392388i
\(665\) 30.2742 + 26.6719i 1.17399 + 1.03429i
\(666\) 27.8814 + 20.2570i 1.08038 + 0.784943i
\(667\) 10.4743 2.22638i 0.405567 0.0862058i
\(668\) 7.98425 + 1.69710i 0.308920 + 0.0656629i
\(669\) 0.226481 + 2.15482i 0.00875625 + 0.0833102i
\(670\) −12.5547 21.7453i −0.485028 0.840094i
\(671\) 0 0
\(672\) −2.33983 + 3.29485i −0.0902609 + 0.127102i
\(673\) −31.9623 + 23.2220i −1.23206 + 0.895143i −0.997043 0.0768491i \(-0.975514\pi\)
−0.235015 + 0.971992i \(0.575514\pi\)
\(674\) −36.2444 + 40.2534i −1.39608 + 1.55050i
\(675\) −0.368635 0.409411i −0.0141888 0.0157582i
\(676\) −8.44681 + 3.76076i −0.324877 + 0.144645i
\(677\) 3.56796 33.9469i 0.137128 1.30469i −0.682118 0.731242i \(-0.738941\pi\)
0.819246 0.573443i \(-0.194392\pi\)
\(678\) −7.00470 + 21.5583i −0.269014 + 0.827940i
\(679\) 3.62007 3.33112i 0.138925 0.127836i
\(680\) 14.5991 10.6069i 0.559851 0.406756i
\(681\) 6.58206 + 11.4005i 0.252225 + 0.436867i
\(682\) 0 0
\(683\) −11.8931 + 20.5995i −0.455079 + 0.788219i −0.998693 0.0511160i \(-0.983722\pi\)
0.543614 + 0.839335i \(0.317056\pi\)
\(684\) 66.1852 + 29.4676i 2.53066 + 1.12672i
\(685\) −3.97895 12.2460i −0.152028 0.467894i
\(686\) 46.0110 + 3.33122i 1.75671 + 0.127187i
\(687\) −14.7201 10.6948i −0.561609 0.408032i
\(688\) −2.90106 + 27.6018i −0.110602 + 1.05231i
\(689\) −0.670134 0.744259i −0.0255301 0.0283540i
\(690\) −24.8751 5.28736i −0.946978 0.201286i
\(691\) −18.7847 8.36350i −0.714605 0.318163i 0.0170340 0.999855i \(-0.494578\pi\)
−0.731639 + 0.681692i \(0.761244\pi\)
\(692\) 27.0440 1.02806
\(693\) 0 0
\(694\) 9.81761 0.372671
\(695\) −11.2229 4.99674i −0.425708 0.189537i
\(696\) 6.32238 + 1.34386i 0.239649 + 0.0509390i
\(697\) −11.2227 12.4641i −0.425091 0.472111i
\(698\) −3.67358 + 34.9518i −0.139047 + 1.32295i
\(699\) 2.20377 + 1.60113i 0.0833542 + 0.0605603i
\(700\) −0.933022 1.25541i −0.0352649 0.0474502i
\(701\) −7.41353 22.8165i −0.280005 0.861768i −0.987851 0.155401i \(-0.950333\pi\)
0.707846 0.706367i \(-0.249667\pi\)
\(702\) 29.2999 + 13.0452i 1.10585 + 0.492358i
\(703\) −19.2134 + 33.2785i −0.724646 + 1.25512i
\(704\) 0 0
\(705\) 1.17251 + 2.03084i 0.0441592 + 0.0764860i
\(706\) −10.0127 + 7.27462i −0.376831 + 0.273784i
\(707\) 3.49454 + 15.6085i 0.131426 + 0.587019i
\(708\) 11.7353 36.1175i 0.441039 1.35738i
\(709\) 5.40535 51.4284i 0.203002 1.93143i −0.136120 0.990692i \(-0.543463\pi\)
0.339122 0.940743i \(-0.389870\pi\)
\(710\) −56.8167 + 25.2964i −2.13229 + 0.949358i
\(711\) −7.71934 8.57320i −0.289498 0.321520i
\(712\) −11.7733 + 13.0756i −0.441223 + 0.490028i
\(713\) 12.3417 8.96675i 0.462199 0.335808i
\(714\) 6.97969 + 0.657359i 0.261208 + 0.0246010i
\(715\) 0 0
\(716\) 7.53841 + 13.0569i 0.281724 + 0.487960i
\(717\) 0.969884 + 9.22783i 0.0362210 + 0.344620i
\(718\) −9.92016 2.10859i −0.370217 0.0786920i
\(719\) −25.2217 + 5.36103i −0.940609 + 0.199933i −0.652607 0.757697i \(-0.726325\pi\)
−0.288003 + 0.957630i \(0.592991\pi\)
\(720\) 23.4024 + 17.0028i 0.872154 + 0.633657i
\(721\) −2.66720 + 0.898632i −0.0993318 + 0.0334668i
\(722\) −22.2125 + 68.3630i −0.826663 + 2.54421i
\(723\) 0.215131 0.238927i 0.00800081 0.00888579i
\(724\) −5.36753 51.0686i −0.199483 1.89795i
\(725\) −0.115989 + 0.200899i −0.00430772 + 0.00746118i
\(726\) 0 0
\(727\) 32.7330 1.21400 0.606999 0.794702i \(-0.292373\pi\)
0.606999 + 0.794702i \(0.292373\pi\)
\(728\) 41.6032 + 23.4234i 1.54192 + 0.868129i
\(729\) −1.00831 3.10325i −0.0373448 0.114935i
\(730\) −46.0160 + 9.78100i −1.70313 + 0.362011i
\(731\) 7.17512 3.19457i 0.265382 0.118155i
\(732\) 35.5782 15.8404i 1.31501 0.585479i
\(733\) 9.07988 1.92999i 0.335373 0.0712857i −0.0371473 0.999310i \(-0.511827\pi\)
0.372520 + 0.928024i \(0.378494\pi\)
\(734\) 13.8719 + 42.6933i 0.512021 + 1.57584i
\(735\) −0.913803 + 10.9725i −0.0337061 + 0.404726i
\(736\) −13.8944 −0.512156
\(737\) 0 0
\(738\) 34.8995 60.4477i 1.28467 2.22511i
\(739\) 5.23617 + 49.8188i 0.192616 + 1.83262i 0.482900 + 0.875676i \(0.339583\pi\)
−0.290284 + 0.956940i \(0.593750\pi\)
\(740\) −34.4479 + 38.2583i −1.26633 + 1.40640i
\(741\) −5.01308 + 15.4287i −0.184160 + 0.566787i
\(742\) 0.396273 1.96878i 0.0145476 0.0722762i
\(743\) −10.6530 7.73987i −0.390821 0.283948i 0.374971 0.927037i \(-0.377653\pi\)
−0.765792 + 0.643088i \(0.777653\pi\)
\(744\) 9.00692 1.91448i 0.330210 0.0701882i
\(745\) 2.15623 + 0.458321i 0.0789982 + 0.0167916i
\(746\) 7.52886 + 71.6323i 0.275651 + 2.62265i
\(747\) −2.41142 4.17670i −0.0882293 0.152818i
\(748\) 0 0
\(749\) 9.69992 13.6590i 0.354427 0.499090i
\(750\) 16.2941 11.8384i 0.594976 0.432276i
\(751\) 27.6443 30.7021i 1.00875 1.12033i 0.0160357 0.999871i \(-0.494895\pi\)
0.992718 0.120463i \(-0.0384379\pi\)
\(752\) 5.25545 + 5.83677i 0.191647 + 0.212845i
\(753\) −0.729163 + 0.324644i −0.0265722 + 0.0118307i
\(754\) 1.41166 13.4311i 0.0514098 0.489131i
\(755\) 10.1097 31.1145i 0.367931 1.13237i
\(756\) 9.52179 + 42.5295i 0.346304 + 1.54678i
\(757\) 36.8195 26.7509i 1.33823 0.972278i 0.338719 0.940887i \(-0.390006\pi\)
0.999507 0.0313910i \(-0.00999371\pi\)
\(758\) 5.36591 + 9.29402i 0.194898 + 0.337574i
\(759\) 0 0
\(760\) −41.8676 + 72.5168i −1.51870 + 2.63046i
\(761\) 28.5683 + 12.7194i 1.03560 + 0.461079i 0.852892 0.522088i \(-0.174847\pi\)
0.182709 + 0.983167i \(0.441513\pi\)
\(762\) −6.79801 20.9221i −0.246266 0.757929i
\(763\) −2.95434 + 6.83352i −0.106954 + 0.247390i
\(764\) −41.1890 29.9255i −1.49016 1.08267i
\(765\) 0.855683 8.14128i 0.0309373 0.294349i
\(766\) 20.5818 + 22.8584i 0.743652 + 0.825909i
\(767\) −40.6933 8.64963i −1.46935 0.312320i
\(768\) 21.2147 + 9.44538i 0.765518 + 0.340831i
\(769\) 42.0467 1.51624 0.758121 0.652114i \(-0.226118\pi\)
0.758121 + 0.652114i \(0.226118\pi\)
\(770\) 0 0
\(771\) 16.2969 0.586920
\(772\) −45.8603 20.4183i −1.65055 0.734871i
\(773\) −7.47746 1.58938i −0.268946 0.0571662i 0.0714647 0.997443i \(-0.477233\pi\)
−0.340410 + 0.940277i \(0.610566\pi\)
\(774\) 21.8712 + 24.2904i 0.786143 + 0.873101i
\(775\) −0.0345443 + 0.328667i −0.00124087 + 0.0118061i
\(776\) 8.25977 + 6.00107i 0.296508 + 0.215426i
\(777\) −10.4164 + 1.20884i −0.373686 + 0.0433669i
\(778\) −22.6475 69.7017i −0.811951 2.49893i
\(779\) 71.0978 + 31.6548i 2.54734 + 1.13415i
\(780\) −10.8670 + 18.8222i −0.389102 + 0.673944i
\(781\) 0 0
\(782\) 12.0520 + 20.8747i 0.430980 + 0.746479i
\(783\) 5.22918 3.79922i 0.186876 0.135773i
\(784\) 4.64706 + 36.5834i 0.165966 + 1.30655i
\(785\) 4.35321 13.3978i 0.155373 0.478188i
\(786\) −0.141018 + 1.34169i −0.00502993 + 0.0478566i
\(787\) −25.4910 + 11.3493i −0.908657 + 0.404560i −0.807199 0.590280i \(-0.799017\pi\)
−0.101458 + 0.994840i \(0.532351\pi\)
\(788\) 34.2170 + 38.0019i 1.21893 + 1.35376i
\(789\) 4.38842 4.87383i 0.156232 0.173513i
\(790\) 20.5740 14.9479i 0.731989 0.531821i
\(791\) 14.0573 + 30.6759i 0.499819 + 1.09071i
\(792\) 0 0
\(793\) −21.3320 36.9481i −0.757521 1.31206i
\(794\) −4.50420 42.8546i −0.159848 1.52085i
\(795\) 0.468850 + 0.0996572i 0.0166284 + 0.00353448i
\(796\) −7.83395 + 1.66516i −0.277667 + 0.0590200i
\(797\) −8.13546 5.91076i −0.288173 0.209370i 0.434301 0.900768i \(-0.356995\pi\)
−0.722474 + 0.691398i \(0.756995\pi\)
\(798\) −30.8280 + 10.3865i −1.09130 + 0.367679i
\(799\) 0.686844 2.11389i 0.0242988 0.0747840i
\(800\) 0.201408 0.223686i 0.00712086 0.00790851i
\(801\) 0.834318 + 7.93800i 0.0294792 + 0.280476i
\(802\) −31.0740 + 53.8218i −1.09726 + 1.90051i
\(803\) 0 0
\(804\) 13.7188 0.483824
\(805\) −32.5782 + 19.2818i −1.14823 + 0.679594i
\(806\) −5.94532 18.2978i −0.209415 0.644513i
\(807\) −10.8972 + 2.31626i −0.383598 + 0.0815363i
\(808\) −30.3252 + 13.5017i −1.06684 + 0.474987i
\(809\) 35.2378 15.6889i 1.23890 0.551592i 0.320497 0.947249i \(-0.396150\pi\)
0.918398 + 0.395658i \(0.129483\pi\)
\(810\) 25.1195 5.33932i 0.882611 0.187605i
\(811\) 3.82439 + 11.7703i 0.134293 + 0.413310i 0.995479 0.0949787i \(-0.0302783\pi\)
−0.861187 + 0.508289i \(0.830278\pi\)
\(812\) 15.7927 9.34709i 0.554215 0.328019i
\(813\) −19.7968 −0.694303
\(814\) 0 0
\(815\) −10.9616 + 18.9860i −0.383968 + 0.665051i
\(816\) 0.585802 + 5.57353i 0.0205072 + 0.195113i
\(817\) −24.3865 + 27.0839i −0.853175 + 0.947547i
\(818\) 29.6791 91.3430i 1.03771 3.19373i
\(819\) 20.5248 6.91521i 0.717196 0.241637i
\(820\) 84.3533 + 61.2862i 2.94574 + 2.14021i
\(821\) −29.0883 + 6.18290i −1.01519 + 0.215785i −0.685320 0.728242i \(-0.740338\pi\)
−0.329868 + 0.944027i \(0.607004\pi\)
\(822\) 10.1547 + 2.15845i 0.354186 + 0.0752845i
\(823\) −4.26236 40.5536i −0.148576 1.41361i −0.773931 0.633270i \(-0.781712\pi\)
0.625355 0.780340i \(-0.284954\pi\)
\(824\) −2.92056 5.05855i −0.101742 0.176223i
\(825\) 0 0
\(826\) −34.7537 75.8398i −1.20923 2.63880i
\(827\) 15.2428 11.0745i 0.530043 0.385099i −0.290331 0.956926i \(-0.593765\pi\)
0.820374 + 0.571827i \(0.193765\pi\)
\(828\) −45.4849 + 50.5161i −1.58071 + 1.75556i
\(829\) −20.8371 23.1420i −0.723704 0.803754i 0.263255 0.964726i \(-0.415204\pi\)
−0.986959 + 0.160972i \(0.948537\pi\)
\(830\) 9.71234 4.32421i 0.337120 0.150096i
\(831\) 1.10478 10.5113i 0.0383244 0.364633i
\(832\) 5.28545 16.2669i 0.183240 0.563955i
\(833\) 8.30829 6.31533i 0.287865 0.218813i
\(834\) 8.01323 5.82195i 0.277476 0.201598i
\(835\) 2.13986 + 3.70635i 0.0740530 + 0.128264i
\(836\) 0 0
\(837\) 4.60407 7.97448i 0.159140 0.275638i
\(838\) −2.06838 0.920901i −0.0714509 0.0318120i
\(839\) 3.17017 + 9.75678i 0.109446 + 0.336841i 0.990748 0.135712i \(-0.0433323\pi\)
−0.881302 + 0.472554i \(0.843332\pi\)
\(840\) −22.6983 + 2.63417i −0.783164 + 0.0908875i
\(841\) 21.2596 + 15.4460i 0.733090 + 0.532621i
\(842\) 4.04951 38.5286i 0.139555 1.32778i
\(843\) −7.26807 8.07201i −0.250326 0.278015i
\(844\) 66.8067 + 14.2002i 2.29958 + 0.488791i
\(845\) −4.42873 1.97180i −0.152353 0.0678319i
\(846\) 9.24992 0.318019
\(847\) 0 0
\(848\) 1.60540 0.0551297
\(849\) −14.1564 6.30283i −0.485846 0.216313i
\(850\) −0.510764 0.108566i −0.0175191 0.00372379i
\(851\) −24.1252 26.7937i −0.827000 0.918476i
\(852\) 3.55190 33.7941i 0.121686 1.15777i
\(853\) −2.46293 1.78942i −0.0843291 0.0612687i 0.544822 0.838552i \(-0.316597\pi\)
−0.629151 + 0.777283i \(0.716597\pi\)
\(854\) 33.9500 78.5276i 1.16174 2.68716i
\(855\) 11.7382 + 36.1263i 0.401436 + 1.23549i
\(856\) 31.7622 + 14.1414i 1.08561 + 0.483344i
\(857\) −24.7766 + 42.9143i −0.846352 + 1.46592i 0.0380904 + 0.999274i \(0.487873\pi\)
−0.884442 + 0.466650i \(0.845461\pi\)
\(858\) 0 0
\(859\) −18.4373 31.9344i −0.629074 1.08959i −0.987738 0.156121i \(-0.950101\pi\)
0.358664 0.933467i \(-0.383232\pi\)
\(860\) −39.5015 + 28.6995i −1.34699 + 0.978646i
\(861\) 4.64006 + 20.7250i 0.158133 + 0.706307i
\(862\) −2.72202 + 8.37751i −0.0927123 + 0.285339i
\(863\) 4.85253 46.1687i 0.165182 1.57160i −0.526992 0.849870i \(-0.676680\pi\)
0.692174 0.721731i \(-0.256653\pi\)
\(864\) −7.66172 + 3.41122i −0.260657 + 0.116052i
\(865\) 9.48787 + 10.5373i 0.322597 + 0.358280i
\(866\) −29.4103 + 32.6634i −0.999402 + 1.10995i
\(867\) −8.53042 + 6.19771i −0.289708 + 0.210485i
\(868\) 15.1372 21.3157i 0.513792 0.723501i
\(869\) 0 0
\(870\) 3.23181 + 5.59766i 0.109569 + 0.189778i
\(871\) −1.57093 14.9464i −0.0532290 0.506440i
\(872\) −15.1130 3.21236i −0.511789 0.108784i
\(873\) 4.53027 0.962938i 0.153326 0.0325905i
\(874\) −90.4871 65.7428i −3.06077 2.22378i
\(875\) 5.91600 29.3921i 0.199997 0.993635i
\(876\) 7.94269 24.4451i 0.268358 0.825922i
\(877\) 26.1168 29.0057i 0.881902 0.979452i −0.118006 0.993013i \(-0.537650\pi\)
0.999908 + 0.0135611i \(0.00431676\pi\)
\(878\) 3.91259 + 37.2258i 0.132043 + 1.25631i
\(879\) 3.96997 6.87620i 0.133904 0.231928i
\(880\) 0 0
\(881\) −44.0049 −1.48256 −0.741281 0.671194i \(-0.765782\pi\)
−0.741281 + 0.671194i \(0.765782\pi\)
\(882\) 35.6802 + 24.7621i 1.20141 + 0.833782i
\(883\) −7.21850 22.2163i −0.242922 0.747637i −0.995971 0.0896726i \(-0.971418\pi\)
0.753049 0.657964i \(-0.228582\pi\)
\(884\) 20.1500 4.28302i 0.677718 0.144053i
\(885\) 18.1898 8.09862i 0.611443 0.272232i
\(886\) −30.0884 + 13.3962i −1.01084 + 0.450055i
\(887\) −41.0016 + 8.71516i −1.37670 + 0.292626i −0.836065 0.548631i \(-0.815149\pi\)
−0.540635 + 0.841258i \(0.681816\pi\)
\(888\) −6.72507 20.6976i −0.225679 0.694567i
\(889\) −28.5358 16.0662i −0.957061 0.538843i
\(890\) −17.5949 −0.589783
\(891\) 0 0
\(892\) −6.38343 + 11.0564i −0.213733 + 0.370196i
\(893\) 1.07808 + 10.2572i 0.0360764 + 0.343244i
\(894\) −1.18926 + 1.32081i −0.0397749 + 0.0441745i
\(895\) −2.44275 + 7.51801i −0.0816521 + 0.251299i
\(896\) 43.2371 14.5674i 1.44445 0.486663i
\(897\) −12.3142 8.94678i −0.411159 0.298724i
\(898\) −24.1417 + 5.13148i −0.805620 + 0.171240i
\(899\) −3.79260 0.806141i −0.126490 0.0268863i
\(900\) −0.153928 1.46452i −0.00513092 0.0488175i
\(901\) −0.227159 0.393451i −0.00756776 0.0131078i
\(902\) 0 0
\(903\) −9.90170 0.932559i −0.329508 0.0310336i
\(904\) −56.6550 + 41.1623i −1.88432 + 1.36904i
\(905\) 18.0151 20.0078i 0.598843 0.665082i
\(906\) 17.6500 + 19.6023i 0.586382 + 0.651243i
\(907\) −18.7442 + 8.34547i −0.622392 + 0.277107i −0.693606 0.720354i \(-0.743979\pi\)
0.0712145 + 0.997461i \(0.477313\pi\)
\(908\) −8.10800 + 77.1424i −0.269073 + 2.56006i
\(909\) −4.65335 + 14.3215i −0.154342 + 0.475015i
\(910\) 10.4310 + 46.5905i 0.345784 + 1.54446i
\(911\) −22.3899 + 16.2672i −0.741812 + 0.538958i −0.893278 0.449505i \(-0.851601\pi\)
0.151466 + 0.988462i \(0.451601\pi\)
\(912\) −13.0025 22.5209i −0.430554 0.745742i
\(913\) 0 0
\(914\) 12.8840 22.3158i 0.426165 0.738140i
\(915\) 18.6539 + 8.30527i 0.616680 + 0.274564i
\(916\) −33.1302 101.964i −1.09465 3.36899i
\(917\) 1.19793 + 1.61186i 0.0395592 + 0.0532283i
\(918\) 11.7707 + 8.55193i 0.388492 + 0.282256i
\(919\) −0.100708 + 0.958177i −0.00332206 + 0.0316073i −0.996057 0.0887116i \(-0.971725\pi\)
0.992735 + 0.120319i \(0.0383917\pi\)
\(920\) −52.5708 58.3858i −1.73321 1.92492i
\(921\) 17.4385 + 3.70667i 0.574618 + 0.122139i
\(922\) 34.9001 + 15.5385i 1.14937 + 0.511734i
\(923\) −37.2249 −1.22527
\(924\) 0 0
\(925\) 0.781061 0.0256811
\(926\) 57.1867 + 25.4612i 1.87927 + 0.836706i
\(927\) −2.59185 0.550914i −0.0851274 0.0180944i
\(928\) 2.36302 + 2.62440i 0.0775699 + 0.0861501i
\(929\) −2.75244 + 26.1877i −0.0903047 + 0.859191i 0.851799 + 0.523869i \(0.175512\pi\)
−0.942103 + 0.335322i \(0.891155\pi\)
\(930\) 7.44954 + 5.41241i 0.244280 + 0.177480i
\(931\) −23.3001 + 42.4517i −0.763629 + 1.39130i
\(932\) 4.95995 + 15.2652i 0.162469 + 0.500027i
\(933\) −22.6458 10.0825i −0.741389 0.330088i
\(934\) −0.929110 + 1.60927i −0.0304014 + 0.0526568i
\(935\) 0 0
\(936\) 22.4745 + 38.9269i 0.734601 + 1.27237i
\(937\) 17.3020 12.5706i 0.565232 0.410665i −0.268138 0.963381i \(-0.586408\pi\)
0.833370 + 0.552715i \(0.186408\pi\)
\(938\) 22.1764 20.4063i 0.724085 0.666289i
\(939\) −5.22783 + 16.0896i −0.170604 + 0.525064i
\(940\) −1.44433 + 13.7419i −0.0471090 + 0.448212i
\(941\) 13.5413 6.02899i 0.441435 0.196540i −0.173969 0.984751i \(-0.555659\pi\)
0.615404 + 0.788212i \(0.288993\pi\)
\(942\) 7.60002 + 8.44068i 0.247622 + 0.275012i
\(943\) −48.8610 + 54.2657i −1.59113 + 1.76713i
\(944\) 53.9522 39.1985i 1.75599 1.27580i
\(945\) −13.2305 + 18.6307i −0.430389 + 0.606056i
\(946\) 0 0
\(947\) −15.8560 27.4634i −0.515251 0.892442i −0.999843 0.0177013i \(-0.994365\pi\)
0.484592 0.874740i \(-0.338968\pi\)
\(948\) 1.45236 + 13.8183i 0.0471706 + 0.448798i
\(949\) −27.5421 5.85425i −0.894054 0.190037i
\(950\) 2.37006 0.503771i 0.0768949 0.0163445i
\(951\) 11.3588 + 8.25267i 0.368335 + 0.267611i
\(952\) 16.2512 + 14.3174i 0.526703 + 0.464030i
\(953\) 15.4391 47.5166i 0.500121 1.53922i −0.308699 0.951160i \(-0.599894\pi\)
0.808821 0.588055i \(-0.200106\pi\)
\(954\) 1.26512 1.40506i 0.0409599 0.0454906i
\(955\) −2.79026 26.5475i −0.0902906 0.859058i
\(956\) −27.3365 + 47.3481i −0.884124 + 1.53135i
\(957\) 0 0
\(958\) 50.0988 1.61862
\(959\) 13.2993 7.87136i 0.429458 0.254179i
\(960\) 2.52965 + 7.78547i 0.0816442 + 0.251275i
\(961\) 24.9196 5.29683i 0.803858 0.170865i
\(962\) −41.5399 + 18.4948i −1.33930 + 0.596295i
\(963\) 14.4085 6.41509i 0.464308 0.206723i
\(964\) 1.85303 0.393875i 0.0596822 0.0126858i
\(965\) −8.13346 25.0322i −0.261825 0.805816i
\(966\) −0.330096 30.5206i −0.0106207 0.981984i
\(967\) −52.4581 −1.68694 −0.843469 0.537178i \(-0.819490\pi\)
−0.843469 + 0.537178i \(0.819490\pi\)
\(968\) 0 0
\(969\) −3.67961 + 6.37327i −0.118206 + 0.204739i
\(970\) 1.06720 + 10.1537i 0.0342656 + 0.326016i
\(971\) 20.6270 22.9086i 0.661952 0.735172i −0.314891 0.949128i \(-0.601968\pi\)
0.976843 + 0.213955i \(0.0686347\pi\)
\(972\) −19.6067 + 60.3433i −0.628887 + 1.93551i
\(973\) 2.90941 14.4547i 0.0932715 0.463396i
\(974\) −8.56422 6.22227i −0.274415 0.199374i
\(975\) 0.322536 0.0685571i 0.0103294 0.00219558i
\(976\) 66.8957 + 14.2191i 2.14128 + 0.455143i
\(977\) −2.58557 24.6000i −0.0827197 0.787025i −0.954717 0.297515i \(-0.903842\pi\)
0.871998 0.489510i \(-0.162824\pi\)
\(978\) −8.83791 15.3077i −0.282605 0.489487i
\(979\) 0 0
\(980\) −42.3585 + 49.1409i −1.35309 + 1.56975i
\(981\) −5.67038 + 4.11977i −0.181041 + 0.131534i
\(982\) −50.5479 + 56.1392i −1.61305 + 1.79147i
\(983\) 8.17935 + 9.08408i 0.260881 + 0.289737i 0.859328 0.511425i \(-0.170882\pi\)
−0.598447 + 0.801162i \(0.704215\pi\)
\(984\) −40.2659 + 17.9275i −1.28363 + 0.571509i
\(985\) −2.80254 + 26.6644i −0.0892965 + 0.849599i
\(986\) 1.89316 5.82656i 0.0602906 0.185556i
\(987\) −2.07110 + 1.90579i −0.0659240 + 0.0606620i
\(988\) −77.3334 + 56.1860i −2.46030 + 1.78752i
\(989\) −17.0975 29.6138i −0.543670 0.941665i
\(990\) 0 0
\(991\) −2.30008 + 3.98386i −0.0730645 + 0.126552i −0.900243 0.435388i \(-0.856611\pi\)
0.827178 + 0.561939i \(0.189945\pi\)
\(992\) 4.59603 + 2.04628i 0.145924 + 0.0649695i
\(993\) 6.21573 + 19.1301i 0.197250 + 0.607074i
\(994\) −44.5261 59.9115i −1.41228 1.90028i
\(995\) −3.39720 2.46821i −0.107698 0.0782475i
\(996\) −0.607168 + 5.77682i −0.0192389 + 0.183045i
\(997\) −23.0692 25.6209i −0.730608 0.811422i 0.257322 0.966326i \(-0.417160\pi\)
−0.987930 + 0.154904i \(0.950493\pi\)
\(998\) 35.1852 + 7.47885i 1.11377 + 0.236739i
\(999\) −19.8813 8.85172i −0.629016 0.280056i
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 847.2.n.e.487.1 24
7.2 even 3 inner 847.2.n.e.366.3 24
11.2 odd 10 847.2.e.d.606.1 6
11.3 even 5 inner 847.2.n.e.753.1 24
11.4 even 5 inner 847.2.n.e.81.3 24
11.5 even 5 inner 847.2.n.e.130.3 24
11.6 odd 10 847.2.n.d.130.1 24
11.7 odd 10 847.2.n.d.81.1 24
11.8 odd 10 847.2.n.d.753.3 24
11.9 even 5 77.2.e.b.67.3 yes 6
11.10 odd 2 847.2.n.d.487.3 24
33.20 odd 10 693.2.i.g.298.1 6
44.31 odd 10 1232.2.q.k.529.2 6
77.2 odd 30 847.2.e.d.485.1 6
77.9 even 15 77.2.e.b.23.3 6
77.16 even 15 inner 847.2.n.e.9.1 24
77.20 odd 10 539.2.e.l.67.3 6
77.24 even 30 5929.2.a.w.1.3 3
77.30 odd 30 847.2.n.d.632.1 24
77.31 odd 30 539.2.a.i.1.1 3
77.37 even 15 inner 847.2.n.e.807.1 24
77.46 odd 30 5929.2.a.v.1.3 3
77.51 odd 30 847.2.n.d.807.3 24
77.53 even 15 539.2.a.h.1.1 3
77.58 even 15 inner 847.2.n.e.632.3 24
77.65 odd 6 847.2.n.d.366.1 24
77.72 odd 30 847.2.n.d.9.3 24
77.75 odd 30 539.2.e.l.177.3 6
231.53 odd 30 4851.2.a.bo.1.3 3
231.86 odd 30 693.2.i.g.100.1 6
231.185 even 30 4851.2.a.bn.1.3 3
308.31 even 30 8624.2.a.ck.1.2 3
308.163 odd 30 1232.2.q.k.177.2 6
308.207 odd 30 8624.2.a.cl.1.2 3
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
77.2.e.b.23.3 6 77.9 even 15
77.2.e.b.67.3 yes 6 11.9 even 5
539.2.a.h.1.1 3 77.53 even 15
539.2.a.i.1.1 3 77.31 odd 30
539.2.e.l.67.3 6 77.20 odd 10
539.2.e.l.177.3 6 77.75 odd 30
693.2.i.g.100.1 6 231.86 odd 30
693.2.i.g.298.1 6 33.20 odd 10
847.2.e.d.485.1 6 77.2 odd 30
847.2.e.d.606.1 6 11.2 odd 10
847.2.n.d.9.3 24 77.72 odd 30
847.2.n.d.81.1 24 11.7 odd 10
847.2.n.d.130.1 24 11.6 odd 10
847.2.n.d.366.1 24 77.65 odd 6
847.2.n.d.487.3 24 11.10 odd 2
847.2.n.d.632.1 24 77.30 odd 30
847.2.n.d.753.3 24 11.8 odd 10
847.2.n.d.807.3 24 77.51 odd 30
847.2.n.e.9.1 24 77.16 even 15 inner
847.2.n.e.81.3 24 11.4 even 5 inner
847.2.n.e.130.3 24 11.5 even 5 inner
847.2.n.e.366.3 24 7.2 even 3 inner
847.2.n.e.487.1 24 1.1 even 1 trivial
847.2.n.e.632.3 24 77.58 even 15 inner
847.2.n.e.753.1 24 11.3 even 5 inner
847.2.n.e.807.1 24 77.37 even 15 inner
1232.2.q.k.177.2 6 308.163 odd 30
1232.2.q.k.529.2 6 44.31 odd 10
4851.2.a.bn.1.3 3 231.185 even 30
4851.2.a.bo.1.3 3 231.53 odd 30
5929.2.a.v.1.3 3 77.46 odd 30
5929.2.a.w.1.3 3 77.24 even 30
8624.2.a.ck.1.2 3 308.31 even 30
8624.2.a.cl.1.2 3 308.207 odd 30