Properties

Label 847.2.n.d.9.3
Level $847$
Weight $2$
Character 847.9
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 9.3
Character \(\chi\) \(=\) 847.9
Dual form 847.2.n.d.753.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.66671 + 1.85107i) q^{2} +(-0.651849 - 0.290222i) q^{3} +(-0.439480 + 4.18137i) q^{4} +(-2.15623 - 0.458321i) q^{5} +(-0.549224 - 1.69034i) q^{6} +(-2.30546 + 1.29802i) q^{7} +(-4.44220 + 3.22745i) q^{8} +(-1.66671 - 1.85107i) q^{9} +O(q^{10})\) \(q+(1.66671 + 1.85107i) q^{2} +(-0.651849 - 0.290222i) q^{3} +(-0.439480 + 4.18137i) q^{4} +(-2.15623 - 0.458321i) q^{5} +(-0.549224 - 1.69034i) q^{6} +(-2.30546 + 1.29802i) q^{7} +(-4.44220 + 3.22745i) q^{8} +(-1.66671 - 1.85107i) q^{9} +(-2.74543 - 4.75523i) q^{10} +(1.50000 - 2.59808i) q^{12} +(1.01557 - 3.12561i) q^{13} +(-6.24527 - 2.10415i) q^{14} +(1.27252 + 0.924542i) q^{15} +(-5.15307 - 1.09532i) q^{16} +(-0.997582 + 1.10793i) q^{17} +(0.648537 - 6.17041i) q^{18} +(-0.723122 - 6.88004i) q^{19} +(2.86403 - 8.81457i) q^{20} +(1.87953 - 0.177017i) q^{21} +(-3.24543 + 5.62125i) q^{23} +(3.83232 - 0.814585i) q^{24} +(-0.128457 - 0.0571928i) q^{25} +(7.47840 - 3.32960i) q^{26} +(1.21071 + 3.72618i) q^{27} +(-4.41429 - 10.2104i) q^{28} +(-1.33468 - 0.969699i) q^{29} +(0.409536 + 3.89648i) q^{30} +(2.29889 - 0.488644i) q^{31} +(-1.07031 - 1.85383i) q^{32} -3.71354 q^{34} +(5.56601 - 1.74219i) q^{35} +(8.47250 - 6.15563i) q^{36} +(-5.07443 + 2.25928i) q^{37} +(11.5302 - 12.8056i) q^{38} +(-1.56912 + 1.74269i) q^{39} +(11.0576 - 4.92317i) q^{40} +(-9.10137 + 6.61254i) q^{41} +(3.46030 + 3.18410i) q^{42} -5.26819 q^{43} +(2.74543 + 4.75523i) q^{45} +(-15.8145 + 3.36149i) q^{46} +(-0.155838 - 1.48270i) q^{47} +(3.04114 + 2.20952i) q^{48} +(3.63030 - 5.98506i) q^{49} +(-0.108233 - 0.333107i) q^{50} +(0.971818 - 0.432681i) q^{51} +(12.6230 + 5.62013i) q^{52} +(-0.298076 + 0.0633579i) q^{53} +(-4.87953 + 8.45159i) q^{54} +(6.05203 - 13.2068i) q^{56} +(-1.52537 + 4.69462i) q^{57} +(-0.429539 - 4.08679i) q^{58} +(1.32320 - 12.5894i) q^{59} +(-4.42510 + 4.91457i) q^{60} +(-12.6980 - 2.69905i) q^{61} +(4.73611 + 3.44098i) q^{62} +(6.24527 + 2.10415i) q^{63} +(-1.60825 + 4.94968i) q^{64} +(-3.62234 + 6.27408i) q^{65} +(2.28646 + 3.96027i) q^{67} +(-4.19424 - 4.65817i) q^{68} +(3.74694 - 2.72231i) q^{69} +(12.5019 + 7.39937i) q^{70} +(3.50016 + 10.7724i) q^{71} +(13.3781 + 2.84361i) q^{72} +(-0.895567 + 8.52075i) q^{73} +(-12.6397 - 5.62756i) q^{74} +(0.0671361 + 0.0745622i) q^{75} +29.0858 q^{76} -5.84111 q^{78} +(-3.09906 - 3.44186i) q^{79} +(10.6092 + 4.72352i) q^{80} +(-0.488879 + 4.65137i) q^{81} +(-27.4097 - 5.82610i) q^{82} +(0.598322 + 1.84145i) q^{83} +(-0.0858404 + 7.93679i) q^{84} +(2.65880 - 1.93173i) q^{85} +(-8.78056 - 9.75180i) q^{86} +(0.588580 + 1.01945i) q^{87} +(-1.60220 + 2.77509i) q^{89} +(-4.22642 + 13.0076i) q^{90} +(1.71574 + 8.52421i) q^{91} +(-22.0782 - 16.0408i) q^{92} +(-1.64035 - 0.348666i) q^{93} +(2.48484 - 2.75970i) q^{94} +(-1.59405 + 15.1664i) q^{95} +(0.159658 + 1.51904i) q^{96} +(0.574582 - 1.76838i) 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 \(\left(\mathbb{Z}/847\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(365\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.66671 + 1.85107i 1.17854 + 1.30891i 0.941345 + 0.337445i \(0.109563\pi\)
0.237199 + 0.971461i \(0.423771\pi\)
\(3\) −0.651849 0.290222i −0.376345 0.167560i 0.209842 0.977735i \(-0.432705\pi\)
−0.586187 + 0.810176i \(0.699372\pi\)
\(4\) −0.439480 + 4.18137i −0.219740 + 2.09068i
\(5\) −2.15623 0.458321i −0.964295 0.204967i −0.301249 0.953546i \(-0.597404\pi\)
−0.663046 + 0.748578i \(0.730737\pi\)
\(6\) −0.549224 1.69034i −0.224220 0.690077i
\(7\) −2.30546 + 1.29802i −0.871382 + 0.490605i
\(8\) −4.44220 + 3.22745i −1.57056 + 1.14108i
\(9\) −1.66671 1.85107i −0.555571 0.617024i
\(10\) −2.74543 4.75523i −0.868182 1.50373i
\(11\) 0 0
\(12\) 1.50000 2.59808i 0.433013 0.750000i
\(13\) 1.01557 3.12561i 0.281669 0.866889i −0.705708 0.708503i \(-0.749371\pi\)
0.987377 0.158386i \(-0.0506290\pi\)
\(14\) −6.24527 2.10415i −1.66912 0.562358i
\(15\) 1.27252 + 0.924542i 0.328564 + 0.238716i
\(16\) −5.15307 1.09532i −1.28827 0.273830i
\(17\) −0.997582 + 1.10793i −0.241949 + 0.268712i −0.851873 0.523748i \(-0.824533\pi\)
0.609924 + 0.792460i \(0.291200\pi\)
\(18\) 0.648537 6.17041i 0.152862 1.45438i
\(19\) −0.723122 6.88004i −0.165895 1.57839i −0.688130 0.725588i \(-0.741568\pi\)
0.522234 0.852802i \(-0.325099\pi\)
\(20\) 2.86403 8.81457i 0.640416 1.97100i
\(21\) 1.87953 0.177017i 0.410146 0.0386283i
\(22\) 0 0
\(23\) −3.24543 + 5.62125i −0.676719 + 1.17211i 0.299244 + 0.954177i \(0.403266\pi\)
−0.975963 + 0.217936i \(0.930068\pi\)
\(24\) 3.83232 0.814585i 0.782270 0.166277i
\(25\) −0.128457 0.0571928i −0.0256914 0.0114386i
\(26\) 7.47840 3.32960i 1.46664 0.652988i
\(27\) 1.21071 + 3.72618i 0.233001 + 0.717104i
\(28\) −4.41429 10.2104i −0.834223 1.92959i
\(29\) −1.33468 0.969699i −0.247843 0.180069i 0.456927 0.889504i \(-0.348950\pi\)
−0.704770 + 0.709436i \(0.748950\pi\)
\(30\) 0.409536 + 3.89648i 0.0747707 + 0.711396i
\(31\) 2.29889 0.488644i 0.412893 0.0877631i 0.00321838 0.999995i \(-0.498976\pi\)
0.409675 + 0.912232i \(0.365642\pi\)
\(32\) −1.07031 1.85383i −0.189205 0.327713i
\(33\) 0 0
\(34\) −3.71354 −0.636867
\(35\) 5.56601 1.74219i 0.940828 0.294483i
\(36\) 8.47250 6.15563i 1.41208 1.02594i
\(37\) −5.07443 + 2.25928i −0.834231 + 0.371423i −0.778980 0.627049i \(-0.784263\pi\)
−0.0552509 + 0.998473i \(0.517596\pi\)
\(38\) 11.5302 12.8056i 1.87045 2.07734i
\(39\) −1.56912 + 1.74269i −0.251261 + 0.279053i
\(40\) 11.0576 4.92317i 1.74836 0.778421i
\(41\) −9.10137 + 6.61254i −1.42140 + 1.03270i −0.429857 + 0.902897i \(0.641436\pi\)
−0.991539 + 0.129807i \(0.958564\pi\)
\(42\) 3.46030 + 3.18410i 0.533936 + 0.491318i
\(43\) −5.26819 −0.803391 −0.401696 0.915773i \(-0.631579\pi\)
−0.401696 + 0.915773i \(0.631579\pi\)
\(44\) 0 0
\(45\) 2.74543 + 4.75523i 0.409265 + 0.708867i
\(46\) −15.8145 + 3.36149i −2.33173 + 0.495624i
\(47\) −0.155838 1.48270i −0.0227313 0.216274i −0.999991 0.00422804i \(-0.998654\pi\)
0.977260 0.212045i \(-0.0680125\pi\)
\(48\) 3.04114 + 2.20952i 0.438950 + 0.318916i
\(49\) 3.63030 5.98506i 0.518614 0.855009i
\(50\) −0.108233 0.333107i −0.0153065 0.0471085i
\(51\) 0.971818 0.432681i 0.136082 0.0605875i
\(52\) 12.6230 + 5.62013i 1.75050 + 0.779371i
\(53\) −0.298076 + 0.0633579i −0.0409438 + 0.00870288i −0.228338 0.973582i \(-0.573329\pi\)
0.187394 + 0.982285i \(0.439996\pi\)
\(54\) −4.87953 + 8.45159i −0.664019 + 1.15012i
\(55\) 0 0
\(56\) 6.05203 13.2068i 0.808737 1.76483i
\(57\) −1.52537 + 4.69462i −0.202041 + 0.621817i
\(58\) −0.429539 4.08679i −0.0564012 0.536622i
\(59\) 1.32320 12.5894i 0.172266 1.63900i −0.477335 0.878721i \(-0.658397\pi\)
0.649601 0.760276i \(-0.274936\pi\)
\(60\) −4.42510 + 4.91457i −0.571278 + 0.634468i
\(61\) −12.6980 2.69905i −1.62582 0.345578i −0.697275 0.716803i \(-0.745604\pi\)
−0.928543 + 0.371225i \(0.878938\pi\)
\(62\) 4.73611 + 3.44098i 0.601486 + 0.437005i
\(63\) 6.24527 + 2.10415i 0.786830 + 0.265098i
\(64\) −1.60825 + 4.94968i −0.201031 + 0.618710i
\(65\) −3.62234 + 6.27408i −0.449296 + 0.778204i
\(66\) 0 0
\(67\) 2.28646 + 3.96027i 0.279336 + 0.483824i 0.971220 0.238185i \(-0.0765524\pi\)
−0.691884 + 0.722009i \(0.743219\pi\)
\(68\) −4.19424 4.65817i −0.508626 0.564886i
\(69\) 3.74694 2.72231i 0.451079 0.327728i
\(70\) 12.5019 + 7.39937i 1.49426 + 0.884394i
\(71\) 3.50016 + 10.7724i 0.415392 + 1.27845i 0.911900 + 0.410413i \(0.134615\pi\)
−0.496508 + 0.868032i \(0.665385\pi\)
\(72\) 13.3781 + 2.84361i 1.57663 + 0.335122i
\(73\) −0.895567 + 8.52075i −0.104818 + 0.997279i 0.808075 + 0.589080i \(0.200510\pi\)
−0.912893 + 0.408199i \(0.866157\pi\)
\(74\) −12.6397 5.62756i −1.46934 0.654190i
\(75\) 0.0671361 + 0.0745622i 0.00775221 + 0.00860970i
\(76\) 29.0858 3.33637
\(77\) 0 0
\(78\) −5.84111 −0.661376
\(79\) −3.09906 3.44186i −0.348672 0.387239i 0.543143 0.839640i \(-0.317234\pi\)
−0.891815 + 0.452401i \(0.850568\pi\)
\(80\) 10.6092 + 4.72352i 1.18614 + 0.528105i
\(81\) −0.488879 + 4.65137i −0.0543199 + 0.516819i
\(82\) −27.4097 5.82610i −3.02689 0.643385i
\(83\) 0.598322 + 1.84145i 0.0656744 + 0.202125i 0.978509 0.206205i \(-0.0661113\pi\)
−0.912834 + 0.408330i \(0.866111\pi\)
\(84\) −0.0858404 + 7.93679i −0.00936596 + 0.865975i
\(85\) 2.65880 1.93173i 0.288388 0.209526i
\(86\) −8.78056 9.75180i −0.946832 1.05156i
\(87\) 0.588580 + 1.01945i 0.0631024 + 0.109297i
\(88\) 0 0
\(89\) −1.60220 + 2.77509i −0.169833 + 0.294159i −0.938361 0.345657i \(-0.887656\pi\)
0.768528 + 0.639816i \(0.220989\pi\)
\(90\) −4.22642 + 13.0076i −0.445504 + 1.37112i
\(91\) 1.71574 + 8.52421i 0.179858 + 0.893580i
\(92\) −22.0782 16.0408i −2.30181 1.67237i
\(93\) −1.64035 0.348666i −0.170096 0.0361550i
\(94\) 2.48484 2.75970i 0.256292 0.284641i
\(95\) −1.59405 + 15.1664i −0.163546 + 1.55604i
\(96\) 0.159658 + 1.51904i 0.0162950 + 0.155037i
\(97\) 0.574582 1.76838i 0.0583400 0.179552i −0.917640 0.397413i \(-0.869908\pi\)
0.975980 + 0.217861i \(0.0699080\pi\)
\(98\) 17.1294 3.25544i 1.73034 0.328849i
\(99\) 0 0
\(100\) 0.295598 0.511992i 0.0295598 0.0511992i
\(101\) 5.91341 1.25693i 0.588406 0.125070i 0.0959186 0.995389i \(-0.469421\pi\)
0.492487 + 0.870320i \(0.336088\pi\)
\(102\) 2.42067 + 1.07775i 0.239682 + 0.106713i
\(103\) −0.971818 + 0.432681i −0.0957561 + 0.0426334i −0.454056 0.890973i \(-0.650023\pi\)
0.358300 + 0.933607i \(0.383357\pi\)
\(104\) 5.57637 + 17.1623i 0.546808 + 1.68290i
\(105\) −4.13382 0.479737i −0.403420 0.0468175i
\(106\) −0.614087 0.446160i −0.0596454 0.0433349i
\(107\) −0.661872 6.29729i −0.0639856 0.608782i −0.978787 0.204879i \(-0.934320\pi\)
0.914802 0.403903i \(-0.132347\pi\)
\(108\) −16.1126 + 3.42484i −1.55044 + 0.329556i
\(109\) −1.40694 2.43688i −0.134760 0.233411i 0.790746 0.612145i \(-0.209693\pi\)
−0.925506 + 0.378734i \(0.876360\pi\)
\(110\) 0 0
\(111\) 3.96345 0.376194
\(112\) 13.3019 4.16356i 1.25691 0.393420i
\(113\) 10.3181 7.49651i 0.970641 0.705212i 0.0150435 0.999887i \(-0.495211\pi\)
0.955598 + 0.294675i \(0.0952113\pi\)
\(114\) −11.2324 + 5.00100i −1.05201 + 0.468387i
\(115\) 9.57424 10.6333i 0.892802 0.991557i
\(116\) 4.64123 5.15461i 0.430928 0.478594i
\(117\) −7.47840 + 3.32960i −0.691378 + 0.307821i
\(118\) 25.5092 18.5335i 2.34832 1.70615i
\(119\) 0.861777 3.84916i 0.0789989 0.352852i
\(120\) −8.63671 −0.788420
\(121\) 0 0
\(122\) −16.1679 28.0035i −1.46377 2.53532i
\(123\) 7.85183 1.66896i 0.707975 0.150485i
\(124\) 1.03289 + 9.82726i 0.0927560 + 0.882514i
\(125\) 9.16776 + 6.66077i 0.819990 + 0.595757i
\(126\) 6.51413 + 15.0675i 0.580325 + 1.34232i
\(127\) 3.82486 + 11.7717i 0.339401 + 1.04457i 0.964513 + 0.264034i \(0.0850532\pi\)
−0.625112 + 0.780535i \(0.714947\pi\)
\(128\) −15.7538 + 7.01404i −1.39245 + 0.619960i
\(129\) 3.43407 + 1.52894i 0.302353 + 0.134616i
\(130\) −17.6512 + 3.75187i −1.54811 + 0.329061i
\(131\) 0.379526 0.657359i 0.0331594 0.0574337i −0.848969 0.528442i \(-0.822776\pi\)
0.882129 + 0.471008i \(0.156110\pi\)
\(132\) 0 0
\(133\) 10.5975 + 14.9230i 0.918924 + 1.29399i
\(134\) −3.51987 + 10.8330i −0.304070 + 0.935832i
\(135\) −0.902782 8.58940i −0.0776991 0.739258i
\(136\) 0.855683 8.14128i 0.0733743 0.698109i
\(137\) −3.90847 + 4.34079i −0.333923 + 0.370859i −0.886600 0.462536i \(-0.846940\pi\)
0.552677 + 0.833395i \(0.313606\pi\)
\(138\) 11.2843 + 2.39855i 0.960582 + 0.204178i
\(139\) −4.50859 3.27568i −0.382414 0.277840i 0.379926 0.925017i \(-0.375949\pi\)
−0.762340 + 0.647177i \(0.775949\pi\)
\(140\) 4.83857 + 24.0392i 0.408934 + 2.03168i
\(141\) −0.328728 + 1.01172i −0.0276839 + 0.0852024i
\(142\) −14.1067 + 24.4335i −1.18381 + 2.05041i
\(143\) 0 0
\(144\) 6.56117 + 11.3643i 0.546764 + 0.947023i
\(145\) 2.43344 + 2.70260i 0.202086 + 0.224439i
\(146\) −17.2652 + 12.5439i −1.42888 + 1.03814i
\(147\) −4.10340 + 2.84777i −0.338443 + 0.234880i
\(148\) −7.21678 22.2110i −0.593216 1.82573i
\(149\) −0.978148 0.207912i −0.0801330 0.0170328i 0.167671 0.985843i \(-0.446375\pi\)
−0.247804 + 0.968810i \(0.579709\pi\)
\(150\) −0.0261234 + 0.248547i −0.00213297 + 0.0202938i
\(151\) −13.5580 6.03642i −1.10334 0.491237i −0.227468 0.973786i \(-0.573045\pi\)
−0.875869 + 0.482548i \(0.839711\pi\)
\(152\) 25.4172 + 28.2287i 2.06161 + 2.28965i
\(153\) 3.71354 0.300222
\(154\) 0 0
\(155\) −5.18089 −0.416139
\(156\) −6.59722 7.32695i −0.528200 0.586626i
\(157\) 5.83804 + 2.59926i 0.465926 + 0.207444i 0.626252 0.779620i \(-0.284588\pi\)
−0.160326 + 0.987064i \(0.551255\pi\)
\(158\) 1.20588 11.4732i 0.0959347 0.912757i
\(159\) 0.212688 + 0.0452083i 0.0168673 + 0.00358525i
\(160\) 1.45818 + 4.48782i 0.115279 + 0.354793i
\(161\) 0.185726 17.1722i 0.0146373 1.35336i
\(162\) −9.42485 + 6.84755i −0.740486 + 0.537994i
\(163\) 6.65463 + 7.39071i 0.521230 + 0.578885i 0.945077 0.326849i \(-0.105987\pi\)
−0.423846 + 0.905734i \(0.639320\pi\)
\(164\) −23.6496 40.9623i −1.84672 3.19862i
\(165\) 0 0
\(166\) −2.41142 + 4.17670i −0.187163 + 0.324175i
\(167\) 0.599940 1.84643i 0.0464248 0.142881i −0.925157 0.379584i \(-0.876067\pi\)
0.971582 + 0.236704i \(0.0760670\pi\)
\(168\) −7.77792 + 6.85242i −0.600080 + 0.528676i
\(169\) 1.77916 + 1.29264i 0.136859 + 0.0994337i
\(170\) 8.00724 + 1.70199i 0.614127 + 0.130537i
\(171\) −11.5302 + 12.8056i −0.881738 + 0.979269i
\(172\) 2.31526 22.0282i 0.176537 1.67964i
\(173\) 0.672360 + 6.39707i 0.0511185 + 0.486360i 0.989892 + 0.141825i \(0.0452970\pi\)
−0.938773 + 0.344536i \(0.888036\pi\)
\(174\) −0.906082 + 2.78863i −0.0686899 + 0.211406i
\(175\) 0.370390 0.0348840i 0.0279989 0.00263698i
\(176\) 0 0
\(177\) −4.51624 + 7.82235i −0.339461 + 0.587964i
\(178\) −7.80731 + 1.65949i −0.585182 + 0.124384i
\(179\) −3.27594 1.45854i −0.244855 0.109017i 0.280640 0.959813i \(-0.409453\pi\)
−0.525495 + 0.850797i \(0.676120\pi\)
\(180\) −21.0899 + 9.38984i −1.57195 + 0.699877i
\(181\) 3.77414 + 11.6156i 0.280530 + 0.863381i 0.987703 + 0.156341i \(0.0499699\pi\)
−0.707174 + 0.707040i \(0.750030\pi\)
\(182\) −12.9193 + 17.3834i −0.957641 + 1.28854i
\(183\) 7.49389 + 5.44463i 0.553964 + 0.402479i
\(184\) −3.72544 35.4452i −0.274643 2.61306i
\(185\) 11.9771 2.54581i 0.880574 0.187172i
\(186\) −2.08858 3.61753i −0.153142 0.265250i
\(187\) 0 0
\(188\) 6.26819 0.457155
\(189\) −7.62790 7.01904i −0.554848 0.510560i
\(190\) −30.7309 + 22.3273i −2.22945 + 1.61979i
\(191\) 11.0624 4.92530i 0.800447 0.356382i 0.0345971 0.999401i \(-0.488985\pi\)
0.765850 + 0.643019i \(0.222319\pi\)
\(192\) 2.48484 2.75970i 0.179328 0.199164i
\(193\) 7.98938 8.87311i 0.575088 0.638700i −0.383485 0.923547i \(-0.625276\pi\)
0.958573 + 0.284847i \(0.0919427\pi\)
\(194\) 4.23107 1.88379i 0.303773 0.135248i
\(195\) 4.18210 3.03847i 0.299486 0.217589i
\(196\) 23.4303 + 17.8099i 1.67359 + 1.27214i
\(197\) −12.1626 −0.866551 −0.433275 0.901262i \(-0.642642\pi\)
−0.433275 + 0.901262i \(0.642642\pi\)
\(198\) 0 0
\(199\) −0.952451 1.64969i −0.0675174 0.116944i 0.830290 0.557331i \(-0.188174\pi\)
−0.897808 + 0.440387i \(0.854841\pi\)
\(200\) 0.755219 0.160527i 0.0534021 0.0113510i
\(201\) −0.341072 3.24508i −0.0240573 0.228890i
\(202\) 12.1826 + 8.85120i 0.857167 + 0.622768i
\(203\) 4.33573 + 0.503169i 0.304309 + 0.0353155i
\(204\) 1.38211 + 4.25369i 0.0967668 + 0.297818i
\(205\) 22.6553 10.0868i 1.58232 0.704493i
\(206\) −2.42067 1.07775i −0.168656 0.0750904i
\(207\) 15.8145 3.36149i 1.09919 0.233639i
\(208\) −8.65685 + 14.9941i −0.600245 + 1.03965i
\(209\) 0 0
\(210\) −6.00187 8.45159i −0.414168 0.583215i
\(211\) 5.01988 15.4496i 0.345583 1.06360i −0.615688 0.787990i \(-0.711122\pi\)
0.961271 0.275605i \(-0.0888782\pi\)
\(212\) −0.133925 1.27421i −0.00919799 0.0875130i
\(213\) 0.844805 8.03779i 0.0578851 0.550740i
\(214\) 10.5536 11.7209i 0.721428 0.801228i
\(215\) 11.3594 + 2.41452i 0.774707 + 0.164669i
\(216\) −17.4043 12.6449i −1.18421 0.860380i
\(217\) −4.66573 + 4.11055i −0.316731 + 0.279043i
\(218\) 2.16589 6.66593i 0.146693 0.451473i
\(219\) 3.05669 5.29434i 0.206552 0.357758i
\(220\) 0 0
\(221\) 2.44983 + 4.24324i 0.164794 + 0.285431i
\(222\) 6.60594 + 7.33664i 0.443362 + 0.492403i
\(223\) −2.45662 + 1.78484i −0.164507 + 0.119522i −0.666993 0.745064i \(-0.732419\pi\)
0.502486 + 0.864585i \(0.332419\pi\)
\(224\) 4.87385 + 2.88464i 0.325648 + 0.192738i
\(225\) 0.108233 + 0.333107i 0.00721554 + 0.0222072i
\(226\) 31.0738 + 6.60494i 2.06700 + 0.439354i
\(227\) 1.92845 18.3480i 0.127996 1.21780i −0.722332 0.691547i \(-0.756930\pi\)
0.850328 0.526254i \(-0.176404\pi\)
\(228\) −18.9596 8.44134i −1.25563 0.559041i
\(229\) −17.0627 18.9501i −1.12754 1.25226i −0.964053 0.265710i \(-0.914394\pi\)
−0.163483 0.986546i \(-0.552273\pi\)
\(230\) 35.6404 2.35006
\(231\) 0 0
\(232\) 9.05855 0.594723
\(233\) −2.55448 2.83703i −0.167349 0.185860i 0.653637 0.756808i \(-0.273242\pi\)
−0.820986 + 0.570948i \(0.806576\pi\)
\(234\) −18.6277 8.29358i −1.21773 0.542168i
\(235\) −0.343529 + 3.26846i −0.0224093 + 0.213211i
\(236\) 52.0593 + 11.0655i 3.38877 + 0.720306i
\(237\) 1.02122 + 3.14299i 0.0663353 + 0.204159i
\(238\) 8.56142 4.82024i 0.554954 0.312450i
\(239\) 10.5202 7.64340i 0.680498 0.494411i −0.193025 0.981194i \(-0.561830\pi\)
0.873523 + 0.486783i \(0.161830\pi\)
\(240\) −5.54473 6.15804i −0.357910 0.397500i
\(241\) −0.225292 0.390216i −0.0145123 0.0251360i 0.858678 0.512515i \(-0.171286\pi\)
−0.873190 + 0.487379i \(0.837953\pi\)
\(242\) 0 0
\(243\) 7.54551 13.0692i 0.484045 0.838391i
\(244\) 16.8663 51.9090i 1.07975 3.32314i
\(245\) −10.5708 + 11.2413i −0.675346 + 0.718182i
\(246\) 16.1761 + 11.7526i 1.03135 + 0.749320i
\(247\) −22.2387 4.72699i −1.41502 0.300771i
\(248\) −8.63506 + 9.59021i −0.548327 + 0.608979i
\(249\) 0.144412 1.37399i 0.00915177 0.0870732i
\(250\) 2.95046 + 28.0718i 0.186604 + 1.77542i
\(251\) 0.345668 1.06386i 0.0218184 0.0671501i −0.939554 0.342399i \(-0.888760\pi\)
0.961373 + 0.275249i \(0.0887604\pi\)
\(252\) −11.5429 + 25.1890i −0.727134 + 1.58676i
\(253\) 0 0
\(254\) −15.4153 + 26.7001i −0.967243 + 1.67531i
\(255\) −2.29377 + 0.487556i −0.143642 + 0.0305319i
\(256\) −29.7317 13.2374i −1.85823 0.827337i
\(257\) −20.8650 + 9.28971i −1.30152 + 0.579476i −0.936221 0.351412i \(-0.885702\pi\)
−0.365304 + 0.930888i \(0.619035\pi\)
\(258\) 2.89342 + 8.90502i 0.180136 + 0.554402i
\(259\) 8.76630 11.7954i 0.544712 0.732929i
\(260\) −24.6423 17.9037i −1.52825 1.11034i
\(261\) 0.429539 + 4.08679i 0.0265878 + 0.252966i
\(262\) 1.84938 0.393098i 0.114255 0.0242857i
\(263\) −4.59568 7.95995i −0.283382 0.490832i 0.688834 0.724919i \(-0.258123\pi\)
−0.972215 + 0.234088i \(0.924790\pi\)
\(264\) 0 0
\(265\) 0.671758 0.0412658
\(266\) −9.96056 + 44.4893i −0.610721 + 2.72781i
\(267\) 1.84979 1.34395i 0.113205 0.0822483i
\(268\) −17.5642 + 7.82009i −1.07290 + 0.477688i
\(269\) −10.4473 + 11.6029i −0.636981 + 0.707440i −0.972055 0.234752i \(-0.924572\pi\)
0.335074 + 0.942192i \(0.391239\pi\)
\(270\) 14.3949 15.9872i 0.876047 0.972949i
\(271\) −25.3459 + 11.2847i −1.53965 + 0.685497i −0.988819 0.149118i \(-0.952357\pi\)
−0.550833 + 0.834616i \(0.685690\pi\)
\(272\) 6.35414 4.61655i 0.385276 0.279920i
\(273\) 1.35551 6.05444i 0.0820392 0.366432i
\(274\) −14.5494 −0.878962
\(275\) 0 0
\(276\) 9.73630 + 16.8638i 0.586056 + 1.01508i
\(277\) 14.4887 3.07967i 0.870541 0.185039i 0.249079 0.968483i \(-0.419872\pi\)
0.621462 + 0.783444i \(0.286539\pi\)
\(278\) −1.45100 13.8054i −0.0870252 0.827990i
\(279\) −4.73611 3.44098i −0.283543 0.206006i
\(280\) −19.1025 + 25.7032i −1.14159 + 1.53606i
\(281\) −4.70407 14.4776i −0.280621 0.863663i −0.987677 0.156505i \(-0.949977\pi\)
0.707056 0.707157i \(-0.250023\pi\)
\(282\) −2.42067 + 1.07775i −0.144149 + 0.0641791i
\(283\) −19.8397 8.83321i −1.17935 0.525080i −0.279018 0.960286i \(-0.590009\pi\)
−0.900331 + 0.435206i \(0.856676\pi\)
\(284\) −46.5815 + 9.90121i −2.76410 + 0.587529i
\(285\) 5.44070 9.42356i 0.322279 0.558204i
\(286\) 0 0
\(287\) 12.3997 27.0587i 0.731929 1.59722i
\(288\) −1.64767 + 5.07101i −0.0970900 + 0.298812i
\(289\) 1.54465 + 14.6964i 0.0908618 + 0.864493i
\(290\) −0.946877 + 9.00893i −0.0556025 + 0.529023i
\(291\) −0.887764 + 0.985962i −0.0520417 + 0.0577981i
\(292\) −35.2348 7.48940i −2.06196 0.438284i
\(293\) 9.00240 + 6.54062i 0.525926 + 0.382107i 0.818832 0.574034i \(-0.194622\pi\)
−0.292906 + 0.956141i \(0.594622\pi\)
\(294\) −12.1106 2.84929i −0.706305 0.166174i
\(295\) −8.62309 + 26.5391i −0.502056 + 1.54517i
\(296\) 15.2499 26.4136i 0.886383 1.53526i
\(297\) 0 0
\(298\) −1.24543 2.15715i −0.0721459 0.124960i
\(299\) 14.2739 + 15.8527i 0.825480 + 0.916788i
\(300\) −0.341277 + 0.247952i −0.0197036 + 0.0143155i
\(301\) 12.1456 6.83821i 0.700061 0.394148i
\(302\) −11.4235 35.1579i −0.657348 2.02311i
\(303\) −4.21944 0.896870i −0.242400 0.0515238i
\(304\) −3.80954 + 36.2454i −0.218492 + 2.07881i
\(305\) 26.1429 + 11.6396i 1.49694 + 0.666479i
\(306\) 6.18940 + 6.87403i 0.353825 + 0.392962i
\(307\) −24.9855 −1.42600 −0.712998 0.701166i \(-0.752663\pi\)
−0.712998 + 0.701166i \(0.752663\pi\)
\(308\) 0 0
\(309\) 0.759053 0.0431810
\(310\) −8.63506 9.59021i −0.490439 0.544687i
\(311\) 31.7373 + 14.1303i 1.79966 + 0.801259i 0.970048 + 0.242912i \(0.0781026\pi\)
0.829608 + 0.558347i \(0.188564\pi\)
\(312\) 1.34593 12.8056i 0.0761980 0.724976i
\(313\) −23.1914 4.92948i −1.31085 0.278630i −0.501094 0.865393i \(-0.667069\pi\)
−0.809759 + 0.586762i \(0.800402\pi\)
\(314\) 4.91891 + 15.1389i 0.277590 + 0.854335i
\(315\) −12.5019 7.39937i −0.704400 0.416907i
\(316\) 15.7537 11.4457i 0.886212 0.643871i
\(317\) 13.1665 + 14.6229i 0.739503 + 0.821301i 0.989130 0.147041i \(-0.0469748\pi\)
−0.249627 + 0.968342i \(0.580308\pi\)
\(318\) 0.270807 + 0.469051i 0.0151861 + 0.0263031i
\(319\) 0 0
\(320\) 5.73630 9.93556i 0.320669 0.555414i
\(321\) −1.39617 + 4.29697i −0.0779267 + 0.239834i
\(322\) 32.0965 28.2773i 1.78867 1.57584i
\(323\) 8.34396 + 6.06224i 0.464270 + 0.337312i
\(324\) −19.2342 4.08837i −1.06857 0.227131i
\(325\) −0.309220 + 0.343424i −0.0171524 + 0.0190497i
\(326\) −2.58939 + 24.6364i −0.143413 + 1.36448i
\(327\) 0.209873 + 1.99680i 0.0116060 + 0.110424i
\(328\) 19.0885 58.7484i 1.05399 3.24384i
\(329\) 2.28384 + 3.21602i 0.125912 + 0.177305i
\(330\) 0 0
\(331\) 14.0949 24.4131i 0.774728 1.34187i −0.160220 0.987081i \(-0.551220\pi\)
0.934947 0.354786i \(-0.115446\pi\)
\(332\) −7.96272 + 1.69253i −0.437011 + 0.0928896i
\(333\) 12.6397 + 5.62756i 0.692652 + 0.308388i
\(334\) 4.41780 1.96693i 0.241731 0.107626i
\(335\) −3.11506 9.58718i −0.170194 0.523804i
\(336\) −9.87922 1.14650i −0.538955 0.0625467i
\(337\) 17.5929 + 12.7820i 0.958346 + 0.696279i 0.952766 0.303705i \(-0.0982238\pi\)
0.00558004 + 0.999984i \(0.498224\pi\)
\(338\) 0.572589 + 5.44782i 0.0311447 + 0.296322i
\(339\) −8.90147 + 1.89207i −0.483461 + 0.102763i
\(340\) 6.90880 + 11.9664i 0.374682 + 0.648969i
\(341\) 0 0
\(342\) −42.9217 −2.32094
\(343\) −0.600789 + 18.5105i −0.0324396 + 0.999474i
\(344\) 23.4024 17.0028i 1.26177 0.916730i
\(345\) −9.32697 + 4.15263i −0.502147 + 0.223570i
\(346\) −10.7208 + 11.9067i −0.576355 + 0.640107i
\(347\) 2.63734 2.92907i 0.141580 0.157240i −0.668184 0.743996i \(-0.732928\pi\)
0.809764 + 0.586755i \(0.199595\pi\)
\(348\) −4.52137 + 2.01304i −0.242371 + 0.107910i
\(349\) −11.4147 + 8.29324i −0.611013 + 0.443927i −0.849771 0.527152i \(-0.823260\pi\)
0.238758 + 0.971079i \(0.423260\pi\)
\(350\) 0.681907 + 0.627477i 0.0364494 + 0.0335401i
\(351\) 12.8762 0.687279
\(352\) 0 0
\(353\) 2.48434 + 4.30301i 0.132228 + 0.229026i 0.924535 0.381097i \(-0.124453\pi\)
−0.792307 + 0.610123i \(0.791120\pi\)
\(354\) −22.0070 + 4.67774i −1.16966 + 0.248619i
\(355\) −2.60994 24.8319i −0.138521 1.31794i
\(356\) −10.8996 7.91899i −0.577675 0.419706i
\(357\) −1.67886 + 2.25897i −0.0888547 + 0.119557i
\(358\) −2.76018 8.49497i −0.145880 0.448973i
\(359\) 3.71958 1.65607i 0.196312 0.0874038i −0.306226 0.951959i \(-0.599066\pi\)
0.502538 + 0.864555i \(0.332400\pi\)
\(360\) −27.5430 12.2629i −1.45164 0.646314i
\(361\) −28.2273 + 5.99989i −1.48565 + 0.315784i
\(362\) −15.2109 + 26.3461i −0.799468 + 1.38472i
\(363\) 0 0
\(364\) −36.3969 + 3.42792i −1.90772 + 0.179672i
\(365\) 5.83629 17.9623i 0.305485 0.940187i
\(366\) 2.41176 + 22.9464i 0.126065 + 1.19943i
\(367\) 1.88381 17.9233i 0.0983342 0.935588i −0.828468 0.560037i \(-0.810787\pi\)
0.926802 0.375551i \(-0.122546\pi\)
\(368\) 22.8810 25.4119i 1.19275 1.32469i
\(369\) 27.4097 + 5.82610i 1.42689 + 0.303295i
\(370\) 24.6749 + 17.9274i 1.28279 + 0.931999i
\(371\) 0.604962 0.532977i 0.0314081 0.0276708i
\(372\) 2.17880 6.70566i 0.112966 0.347672i
\(373\) 14.4582 25.0424i 0.748618 1.29664i −0.199867 0.979823i \(-0.564051\pi\)
0.948485 0.316822i \(-0.102616\pi\)
\(374\) 0 0
\(375\) −4.04290 7.00250i −0.208774 0.361608i
\(376\) 5.47759 + 6.08348i 0.282485 + 0.313731i
\(377\) −4.38636 + 3.18688i −0.225909 + 0.164133i
\(378\) 0.279240 25.8185i 0.0143626 1.32796i
\(379\) 1.33139 + 4.09760i 0.0683889 + 0.210479i 0.979410 0.201880i \(-0.0647049\pi\)
−0.911021 + 0.412359i \(0.864705\pi\)
\(380\) −62.7157 13.3306i −3.21725 0.683847i
\(381\) 0.923176 8.78343i 0.0472957 0.449989i
\(382\) 27.5549 + 12.2682i 1.40983 + 0.627698i
\(383\) −8.26293 9.17691i −0.422216 0.468918i 0.494082 0.869415i \(-0.335504\pi\)
−0.916298 + 0.400497i \(0.868837\pi\)
\(384\) 12.3047 0.627923
\(385\) 0 0
\(386\) 29.7408 1.51377
\(387\) 8.78056 + 9.75180i 0.446341 + 0.495712i
\(388\) 7.14174 + 3.17971i 0.362567 + 0.161425i
\(389\) −3.07554 + 29.2618i −0.155936 + 1.48363i 0.584438 + 0.811438i \(0.301315\pi\)
−0.740374 + 0.672195i \(0.765352\pi\)
\(390\) 12.5948 + 2.67710i 0.637762 + 0.135560i
\(391\) −2.99036 9.20337i −0.151229 0.465434i
\(392\) 3.18996 + 38.3034i 0.161117 + 1.93462i
\(393\) −0.438174 + 0.318352i −0.0221030 + 0.0160587i
\(394\) −20.2716 22.5139i −1.02127 1.13423i
\(395\) 5.10482 + 8.84180i 0.256851 + 0.444879i
\(396\) 0 0
\(397\) 8.64975 14.9818i 0.434119 0.751915i −0.563105 0.826386i \(-0.690393\pi\)
0.997223 + 0.0744702i \(0.0237266\pi\)
\(398\) 1.46624 4.51262i 0.0734959 0.226197i
\(399\) −2.57701 12.8032i −0.129012 0.640963i
\(400\) 0.599304 + 0.435420i 0.0299652 + 0.0217710i
\(401\) 24.4052 + 5.18748i 1.21874 + 0.259051i 0.772005 0.635617i \(-0.219254\pi\)
0.446732 + 0.894668i \(0.352588\pi\)
\(402\) 5.43841 6.03997i 0.271243 0.301246i
\(403\) 0.807379 7.68169i 0.0402184 0.382652i
\(404\) 2.65688 + 25.2785i 0.132185 + 1.25765i
\(405\) 3.18596 9.80536i 0.158311 0.487232i
\(406\) 6.29502 + 8.86439i 0.312416 + 0.439932i
\(407\) 0 0
\(408\) −2.92056 + 5.05855i −0.144589 + 0.250436i
\(409\) −37.7158 + 8.01674i −1.86493 + 0.396402i −0.995261 0.0972401i \(-0.968999\pi\)
−0.869665 + 0.493642i \(0.835665\pi\)
\(410\) 56.4313 + 25.1248i 2.78694 + 1.24083i
\(411\) 3.80753 1.69522i 0.187811 0.0836190i
\(412\) −1.38211 4.25369i −0.0680915 0.209564i
\(413\) 13.2907 + 30.7418i 0.653991 + 1.51271i
\(414\) 32.5807 + 23.6712i 1.60125 + 1.16338i
\(415\) −0.446147 4.24481i −0.0219005 0.208369i
\(416\) −6.88131 + 1.46267i −0.337384 + 0.0717132i
\(417\) 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 \(0.492932\pi\)
\(420\) 3.82269 17.0742i 0.186528 0.833136i
\(421\) −12.5828 + 9.14191i −0.613246 + 0.445550i −0.850556 0.525884i \(-0.823734\pi\)
0.237310 + 0.971434i \(0.423734\pi\)
\(422\) 36.9651 16.4579i 1.79943 0.801158i
\(423\) −2.48484 + 2.75970i −0.120817 + 0.134181i
\(424\) 1.11963 1.24347i 0.0543739 0.0603884i
\(425\) 0.191512 0.0852666i 0.00928970 0.00413604i
\(426\) 16.2866 11.8329i 0.789087 0.573305i
\(427\) 32.7783 10.2597i 1.58625 0.496503i
\(428\) 26.6222 1.28683
\(429\) 0 0
\(430\) 14.4635 + 25.0514i 0.697490 + 1.20809i
\(431\) 3.45910 0.735254i 0.166619 0.0354160i −0.123847 0.992301i \(-0.539523\pi\)
0.290466 + 0.956885i \(0.406190\pi\)
\(432\) −2.15751 20.5274i −0.103803 0.987624i
\(433\) −14.2757 10.3719i −0.686044 0.498440i 0.189313 0.981917i \(-0.439374\pi\)
−0.875357 + 0.483476i \(0.839374\pi\)
\(434\) −15.3854 1.78550i −0.738521 0.0857066i
\(435\) −0.801878 2.46793i −0.0384471 0.118328i
\(436\) 10.8078 4.81196i 0.517601 0.230451i
\(437\) 41.0213 + 18.2639i 1.96231 + 0.873679i
\(438\) 14.8948 3.16599i 0.711702 0.151277i
\(439\) 7.51362 13.0140i 0.358606 0.621123i −0.629123 0.777306i \(-0.716586\pi\)
0.987728 + 0.156183i \(0.0499190\pi\)
\(440\) 0 0
\(441\) −17.1294 + 3.25544i −0.815688 + 0.155021i
\(442\) −3.77137 + 11.6071i −0.179386 + 0.552092i
\(443\) −1.38215 13.1502i −0.0656677 0.624787i −0.977018 0.213156i \(-0.931626\pi\)
0.911351 0.411631i \(-0.135041\pi\)
\(444\) −1.74186 + 16.5727i −0.0826649 + 0.786504i
\(445\) 4.72660 5.24942i 0.224062 0.248846i
\(446\) −7.39834 1.57257i −0.350321 0.0744631i
\(447\) 0.577264 + 0.419407i 0.0273037 + 0.0198373i
\(448\) −2.71702 13.4988i −0.128367 0.637760i
\(449\) −3.06194 + 9.42367i −0.144502 + 0.444731i −0.996947 0.0780865i \(-0.975119\pi\)
0.852445 + 0.522817i \(0.175119\pi\)
\(450\) −0.436212 + 0.755542i −0.0205632 + 0.0356166i
\(451\) 0 0
\(452\) 26.8111 + 46.4382i 1.26109 + 2.18427i
\(453\) 7.08589 + 7.86968i 0.332924 + 0.369750i
\(454\) 37.1777 27.0112i 1.74484 1.26770i
\(455\) 0.207295 19.1665i 0.00971816 0.898540i
\(456\) −8.37562 25.7775i −0.392224 1.20714i
\(457\) 10.1190 + 2.15085i 0.473345 + 0.100613i 0.438406 0.898777i \(-0.355543\pi\)
0.0349384 + 0.999389i \(0.488876\pi\)
\(458\) 6.63929 63.1687i 0.310234 2.95168i
\(459\) −5.33612 2.37579i −0.249069 0.110893i
\(460\) 40.2539 + 44.7065i 1.87685 + 2.08445i
\(461\) 15.3372 0.714325 0.357163 0.934042i \(-0.383744\pi\)
0.357163 + 0.934042i \(0.383744\pi\)
\(462\) 0 0
\(463\) −25.1313 −1.16795 −0.583976 0.811771i \(-0.698504\pi\)
−0.583976 + 0.811771i \(0.698504\pi\)
\(464\) 5.81555 + 6.45882i 0.269980 + 0.299843i
\(465\) 3.37716 + 1.50361i 0.156612 + 0.0697282i
\(466\) 0.993975 9.45704i 0.0460450 0.438089i
\(467\) 0.729712 + 0.155105i 0.0337671 + 0.00717741i 0.224764 0.974413i \(-0.427839\pi\)
−0.190997 + 0.981591i \(0.561172\pi\)
\(468\) −10.6357 32.7332i −0.491634 1.51309i
\(469\) −10.4118 6.16237i −0.480775 0.284552i
\(470\) −6.62272 + 4.81169i −0.305483 + 0.221947i
\(471\) −3.05116 3.38866i −0.140590 0.156141i
\(472\) 34.7537 + 60.1951i 1.59967 + 2.77070i
\(473\) 0 0
\(474\) −4.11582 + 7.12881i −0.189046 + 0.327437i
\(475\) −0.300599 + 0.925148i −0.0137924 + 0.0424487i
\(476\) 15.7160 + 5.29504i 0.720344 + 0.242698i
\(477\) 0.614087 + 0.446160i 0.0281171 + 0.0204283i
\(478\) 31.6827 + 6.73437i 1.44913 + 0.308023i
\(479\) 13.4582 14.9469i 0.614923 0.682941i −0.352585 0.935780i \(-0.614697\pi\)
0.967509 + 0.252838i \(0.0813641\pi\)
\(480\) 0.351950 3.34858i 0.0160642 0.152841i
\(481\) 1.90818 + 18.1551i 0.0870057 + 0.827803i
\(482\) 0.346822 1.06741i 0.0157973 0.0486192i
\(483\) −5.10482 + 11.1398i −0.232277 + 0.506878i
\(484\) 0 0
\(485\) −2.04942 + 3.54969i −0.0930592 + 0.161183i
\(486\) 36.7683 7.81534i 1.66784 0.354511i
\(487\) −3.88249 1.72860i −0.175933 0.0783302i 0.316880 0.948466i \(-0.397365\pi\)
−0.492813 + 0.870135i \(0.664031\pi\)
\(488\) 65.1183 28.9926i 2.94777 1.31243i
\(489\) −2.19287 6.74895i −0.0991648 0.305198i
\(490\) −38.4271 0.831313i −1.73596 0.0375549i
\(491\) 24.5358 + 17.8263i 1.10728 + 0.804490i 0.982234 0.187661i \(-0.0600906\pi\)
0.125051 + 0.992150i \(0.460091\pi\)
\(492\) 3.52781 + 33.5649i 0.159046 + 1.51322i
\(493\) 2.40581 0.511370i 0.108352 0.0230309i
\(494\) −28.3156 49.0440i −1.27398 2.20659i
\(495\) 0 0
\(496\) −12.3816 −0.555948
\(497\) −22.0522 20.2920i −0.989177 0.910221i
\(498\) 2.78405 2.02273i 0.124756 0.0906409i
\(499\) 13.1928 5.87380i 0.590589 0.262947i −0.0896071 0.995977i \(-0.528561\pi\)
0.680196 + 0.733030i \(0.261894\pi\)
\(500\) −31.8802 + 35.4065i −1.42573 + 1.58343i
\(501\) −0.926944 + 1.02948i −0.0414128 + 0.0459936i
\(502\) 2.54541 1.13329i 0.113607 0.0505811i
\(503\) −2.39325 + 1.73880i −0.106710 + 0.0775292i −0.639860 0.768491i \(-0.721008\pi\)
0.533151 + 0.846020i \(0.321008\pi\)
\(504\) −34.5338 + 10.8092i −1.53826 + 0.481481i
\(505\) −13.3267 −0.593032
\(506\) 0 0
\(507\) −0.784595 1.35896i −0.0348451 0.0603534i
\(508\) −50.9027 + 10.8197i −2.25844 + 0.480047i
\(509\) 2.61224 + 24.8538i 0.115785 + 1.10163i 0.885950 + 0.463780i \(0.153507\pi\)
−0.770165 + 0.637845i \(0.779826\pi\)
\(510\) −4.72556 3.43332i −0.209251 0.152030i
\(511\) −8.99540 20.8067i −0.397933 0.920435i
\(512\) −14.3930 44.2970i −0.636086 1.95767i
\(513\) 24.7608 11.0242i 1.09322 0.486731i
\(514\) −51.9719 23.1394i −2.29238 1.02063i
\(515\) 2.29377 0.487556i 0.101076 0.0214843i
\(516\) −7.90228 + 13.6872i −0.347879 + 0.602544i
\(517\) 0 0
\(518\) 36.4450 3.43245i 1.60130 0.150813i
\(519\) 1.41829 4.36506i 0.0622562 0.191605i
\(520\) −4.15810 39.5616i −0.182345 1.73489i
\(521\) −3.01702 + 28.7050i −0.132178 + 1.25759i 0.704425 + 0.709779i \(0.251205\pi\)
−0.836603 + 0.547810i \(0.815462\pi\)
\(522\) −6.84903 + 7.60662i −0.299774 + 0.332933i
\(523\) 0.462264 + 0.0982572i 0.0202134 + 0.00429649i 0.218007 0.975947i \(-0.430044\pi\)
−0.197794 + 0.980244i \(0.563378\pi\)
\(524\) 2.58187 + 1.87584i 0.112789 + 0.0819463i
\(525\) −0.251563 0.0847563i −0.0109791 0.00369907i
\(526\) 7.07477 21.7739i 0.308475 0.949387i
\(527\) −1.75195 + 3.03447i −0.0763162 + 0.132184i
\(528\) 0 0
\(529\) −9.56566 16.5682i −0.415898 0.720357i
\(530\) 1.11963 + 1.24347i 0.0486335 + 0.0540130i
\(531\) −25.5092 + 18.5335i −1.10701 + 0.804287i
\(532\) −67.0562 + 37.7539i −2.90725 + 1.63684i
\(533\) 11.4251 + 35.1629i 0.494876 + 1.52307i
\(534\) 5.57081 + 1.18411i 0.241073 + 0.0512415i
\(535\) −1.45903 + 13.8818i −0.0630794 + 0.600161i
\(536\) −22.9385 10.2129i −0.990792 0.441129i
\(537\) 1.71212 + 1.90150i 0.0738833 + 0.0820558i
\(538\) −38.8904 −1.67668
\(539\) 0 0
\(540\) 36.3122 1.56263
\(541\) −10.3445 11.4887i −0.444743 0.493937i 0.478536 0.878068i \(-0.341168\pi\)
−0.923279 + 0.384131i \(0.874501\pi\)
\(542\) −63.1331 28.1087i −2.71180 1.20737i
\(543\) 0.910935 8.66696i 0.0390919 0.371935i
\(544\) 3.12162 + 0.663522i 0.133839 + 0.0284483i
\(545\) 1.91680 + 5.89931i 0.0821068 + 0.252699i
\(546\) 13.4665 7.58187i 0.576311 0.324474i
\(547\) −28.3512 + 20.5984i −1.21221 + 0.880722i −0.995430 0.0954983i \(-0.969556\pi\)
−0.216780 + 0.976220i \(0.569556\pi\)
\(548\) −16.4328 18.2504i −0.701973 0.779620i
\(549\) 16.1679 + 28.0035i 0.690027 + 1.19516i
\(550\) 0 0
\(551\) −5.70644 + 9.88384i −0.243102 + 0.421066i
\(552\) −7.85855 + 24.1861i −0.334482 + 1.02943i
\(553\) 11.6124 + 3.91243i 0.493808 + 0.166373i
\(554\) 29.8492 + 21.6867i 1.26817 + 0.921379i
\(555\) −8.54612 1.81653i −0.362763 0.0771076i
\(556\) 15.6783 17.4125i 0.664907 0.738454i
\(557\) 1.10096 10.4749i 0.0466492 0.443838i −0.946122 0.323812i \(-0.895036\pi\)
0.992771 0.120026i \(-0.0382978\pi\)
\(558\) −1.52422 14.5020i −0.0645255 0.613919i
\(559\) −5.35023 + 16.4663i −0.226291 + 0.696451i
\(560\) −30.5903 + 2.88104i −1.29268 + 0.121746i
\(561\) 0 0
\(562\) 18.9588 32.8376i 0.799729 1.38517i
\(563\) −30.0435 + 6.38595i −1.26618 + 0.269136i −0.791581 0.611065i \(-0.790742\pi\)
−0.474602 + 0.880200i \(0.657408\pi\)
\(564\) −4.08592 1.81917i −0.172048 0.0766007i
\(565\) −25.6839 + 11.4352i −1.08053 + 0.481083i
\(566\) −16.7162 51.4472i −0.702634 2.16249i
\(567\) −4.91047 11.3581i −0.206221 0.476996i
\(568\) −50.3157 36.5565i −2.11120 1.53388i
\(569\) −3.21656 30.6035i −0.134845 1.28297i −0.827405 0.561606i \(-0.810184\pi\)
0.692560 0.721360i \(-0.256483\pi\)
\(570\) 26.5118 5.63525i 1.11046 0.236035i
\(571\) −3.75847 6.50986i −0.157287 0.272429i 0.776602 0.629991i \(-0.216941\pi\)
−0.933889 + 0.357562i \(0.883608\pi\)
\(572\) 0 0
\(573\) −8.64045 −0.360960
\(574\) 70.7543 22.1464i 2.95323 0.924372i
\(575\) 0.738394 0.536475i 0.0307932 0.0223725i
\(576\) 11.8427 5.27271i 0.493446 0.219696i
\(577\) 18.4803 20.5245i 0.769347 0.854446i −0.223393 0.974728i \(-0.571713\pi\)
0.992740 + 0.120282i \(0.0383800\pi\)
\(578\) −24.6296 + 27.3539i −1.02445 + 1.13777i
\(579\) −7.78305 + 3.46524i −0.323452 + 0.144010i
\(580\) −12.3700 + 8.98735i −0.513638 + 0.373179i
\(581\) −3.76964 3.46875i −0.156391 0.143908i
\(582\) −3.30473 −0.136986
\(583\) 0 0
\(584\) −23.5220 40.7413i −0.973348 1.68589i
\(585\) 17.6512 3.75187i 0.729786 0.155121i
\(586\) 2.89724 + 27.5654i 0.119684 + 1.13872i
\(587\) 24.2367 + 17.6090i 1.00036 + 0.726801i 0.962164 0.272469i \(-0.0878403\pi\)
0.0381915 + 0.999270i \(0.487840\pi\)
\(588\) −10.1042 18.4094i −0.416690 0.759190i
\(589\) −5.02427 15.4631i −0.207022 0.637147i
\(590\) −63.4981 + 28.2712i −2.61417 + 1.16391i
\(591\) 7.92820 + 3.52986i 0.326122 + 0.145199i
\(592\) 28.6235 6.08411i 1.17642 0.250055i
\(593\) 6.33401 10.9708i 0.260107 0.450518i −0.706163 0.708049i \(-0.749576\pi\)
0.966270 + 0.257531i \(0.0829089\pi\)
\(594\) 0 0
\(595\) −3.62234 + 7.90471i −0.148502 + 0.324062i
\(596\) 1.29923 3.99862i 0.0532186 0.163790i
\(597\) 0.142077 + 1.35177i 0.00581483 + 0.0553244i
\(598\) −5.55412 + 52.8440i −0.227125 + 2.16095i
\(599\) 0.866033 0.961827i 0.0353851 0.0392992i −0.725192 0.688546i \(-0.758249\pi\)
0.760578 + 0.649247i \(0.224916\pi\)
\(600\) −0.538878 0.114542i −0.0219996 0.00467616i
\(601\) −33.1875 24.1121i −1.35375 0.983554i −0.998815 0.0486619i \(-0.984504\pi\)
−0.354931 0.934892i \(-0.615496\pi\)
\(602\) 32.9012 + 11.0851i 1.34095 + 0.451793i
\(603\) 3.51987 10.8330i 0.143340 0.441155i
\(604\) 31.1990 54.0383i 1.26947 2.19879i
\(605\) 0 0
\(606\) −5.37242 9.30531i −0.218240 0.378002i
\(607\) 14.1701 + 15.7374i 0.575145 + 0.638763i 0.958586 0.284802i \(-0.0919278\pi\)
−0.383441 + 0.923565i \(0.625261\pi\)
\(608\) −11.9804 + 8.70430i −0.485871 + 0.353006i
\(609\) −2.68021 1.58631i −0.108608 0.0642807i
\(610\) 22.0270 + 67.7922i 0.891847 + 2.74482i
\(611\) −4.79260 1.01870i −0.193888 0.0412121i
\(612\) −1.63202 + 15.5277i −0.0659707 + 0.627669i
\(613\) −6.17842 2.75081i −0.249544 0.111104i 0.278153 0.960537i \(-0.410278\pi\)
−0.527697 + 0.849433i \(0.676944\pi\)
\(614\) −41.6436 46.2499i −1.68060 1.86649i
\(615\) −17.6953 −0.713542
\(616\) 0 0
\(617\) −41.0728 −1.65353 −0.826763 0.562550i \(-0.809820\pi\)
−0.826763 + 0.562550i \(0.809820\pi\)
\(618\) 1.26512 + 1.40506i 0.0508907 + 0.0565199i
\(619\) −27.7962 12.3757i −1.11722 0.497420i −0.236777 0.971564i \(-0.576091\pi\)
−0.880447 + 0.474144i \(0.842758\pi\)
\(620\) 2.27690 21.6632i 0.0914424 0.870016i
\(621\) −24.8751 5.28736i −0.998203 0.212175i
\(622\) 26.7406 + 82.2992i 1.07220 + 3.29990i
\(623\) 0.0916890 8.47755i 0.00367344 0.339646i
\(624\) 9.99458 7.26149i 0.400104 0.290692i
\(625\) −16.2446 18.0414i −0.649784 0.721658i
\(626\) −29.5285 51.1449i −1.18020 2.04416i
\(627\) 0 0
\(628\) −13.4342 + 23.2687i −0.536082 + 0.928521i
\(629\) 2.55904 7.87592i 0.102036 0.314033i
\(630\) −7.14024 35.4745i −0.284474 1.41334i
\(631\) −10.0051 7.26915i −0.398298 0.289380i 0.370549 0.928813i \(-0.379169\pi\)
−0.768847 + 0.639432i \(0.779169\pi\)
\(632\) 24.8751 + 5.28736i 0.989478 + 0.210320i
\(633\) −7.75602 + 8.61394i −0.308274 + 0.342373i
\(634\) −5.12322 + 48.7442i −0.203469 + 1.93588i
\(635\) −2.85206 27.1355i −0.113180 1.07684i
\(636\) −0.282505 + 0.869460i −0.0112020 + 0.0344763i
\(637\) −15.0201 17.4252i −0.595120 0.690410i
\(638\) 0 0
\(639\) 14.1067 24.4335i 0.558052 0.966574i
\(640\) 37.1835 7.90360i 1.46981 0.312417i
\(641\) −43.0566 19.1700i −1.70063 0.757171i −0.999004 0.0446288i \(-0.985789\pi\)
−0.701630 0.712542i \(-0.747544\pi\)
\(642\) −10.2810 + 4.57741i −0.405760 + 0.180656i
\(643\) 0.578611 + 1.78078i 0.0228182 + 0.0702272i 0.961817 0.273693i \(-0.0882451\pi\)
−0.938999 + 0.343920i \(0.888245\pi\)
\(644\) 71.7217 + 8.32342i 2.82623 + 0.327989i
\(645\) −6.70389 4.87066i −0.263965 0.191782i
\(646\) 2.68534 + 25.5493i 0.105653 + 1.00522i
\(647\) 1.79576 0.381701i 0.0705986 0.0150062i −0.172477 0.985014i \(-0.555177\pi\)
0.243076 + 0.970007i \(0.421844\pi\)
\(648\) −12.8404 22.2402i −0.504417 0.873676i
\(649\) 0 0
\(650\) −1.15108 −0.0451492
\(651\) 4.23433 1.32536i 0.165956 0.0519451i
\(652\) −33.8279 + 24.5774i −1.32480 + 0.962525i
\(653\) −16.6057 + 7.39332i −0.649830 + 0.289323i −0.705057 0.709151i \(-0.749078\pi\)
0.0552269 + 0.998474i \(0.482412\pi\)
\(654\) −3.34643 + 3.71659i −0.130856 + 0.145330i
\(655\) −1.11963 + 1.24347i −0.0437475 + 0.0485865i
\(656\) 54.1428 24.1059i 2.11392 0.941179i
\(657\) 17.2652 12.5439i 0.673579 0.489384i
\(658\) −2.14657 + 9.58774i −0.0836820 + 0.373769i
\(659\) 16.8997 0.658318 0.329159 0.944275i \(-0.393235\pi\)
0.329159 + 0.944275i \(0.393235\pi\)
\(660\) 0 0
\(661\) 22.6516 + 39.2338i 0.881046 + 1.52602i 0.850180 + 0.526493i \(0.176493\pi\)
0.0308661 + 0.999524i \(0.490173\pi\)
\(662\) 68.6827 14.5990i 2.66943 0.567405i
\(663\) −0.365442 3.47695i −0.0141926 0.135033i
\(664\) −8.60105 6.24903i −0.333785 0.242509i
\(665\) −16.0112 37.0346i −0.620888 1.43614i
\(666\) 10.6497 + 32.7765i 0.412669 + 1.27006i
\(667\) 9.78252 4.35546i 0.378781 0.168644i
\(668\) 7.45693 + 3.32004i 0.288517 + 0.128456i
\(669\) 2.11934 0.450480i 0.0819385 0.0174166i
\(670\) 12.5547 21.7453i 0.485028 0.840094i
\(671\) 0 0
\(672\) −2.33983 3.29485i −0.0902609 0.127102i
\(673\) −12.2085 + 37.5740i −0.470604 + 1.44837i 0.381191 + 0.924496i \(0.375514\pi\)
−0.851795 + 0.523875i \(0.824486\pi\)
\(674\) 5.66193 + 53.8696i 0.218089 + 2.07498i
\(675\) 0.0575864 0.547898i 0.00221650 0.0210886i
\(676\) −6.18690 + 6.87125i −0.237958 + 0.264279i
\(677\) −33.3880 7.09683i −1.28320 0.272753i −0.484667 0.874699i \(-0.661059\pi\)
−0.798537 + 0.601945i \(0.794392\pi\)
\(678\) −18.3385 13.3237i −0.704288 0.511695i
\(679\) 0.970715 + 4.82275i 0.0372526 + 0.185080i
\(680\) −5.57637 + 17.1623i −0.213844 + 0.658144i
\(681\) −6.58206 + 11.4005i −0.252225 + 0.436867i
\(682\) 0 0
\(683\) −11.8931 20.5995i −0.455079 0.788219i 0.543614 0.839335i \(-0.317056\pi\)
−0.998693 + 0.0511160i \(0.983722\pi\)
\(684\) −48.4777 53.8399i −1.85359 2.05862i
\(685\) 10.4170 7.56842i 0.398014 0.289174i
\(686\) −35.2656 + 29.7396i −1.34645 + 1.13546i
\(687\) 5.62259 + 17.3046i 0.214515 + 0.660210i
\(688\) 27.1473 + 5.77034i 1.03498 + 0.219992i
\(689\) −0.104685 + 0.996013i −0.00398819 + 0.0379451i
\(690\) −23.2322 10.3436i −0.884435 0.393776i
\(691\) −13.7590 15.2809i −0.523416 0.581312i 0.422239 0.906485i \(-0.361244\pi\)
−0.945655 + 0.325172i \(0.894578\pi\)
\(692\) −27.0440 −1.02806
\(693\) 0 0
\(694\) 9.81761 0.372671
\(695\) 8.22024 + 9.12951i 0.311812 + 0.346302i
\(696\) −5.90481 2.62899i −0.223821 0.0996517i
\(697\) 1.75316 16.6802i 0.0664057 0.631808i
\(698\) −34.3764 7.30692i −1.30116 0.276571i
\(699\) 0.841764 + 2.59068i 0.0318385 + 0.0979887i
\(700\) −0.0169162 + 1.56407i −0.000639372 + 0.0591162i
\(701\) −19.4089 + 14.1014i −0.733063 + 0.532602i −0.890531 0.454922i \(-0.849667\pi\)
0.157468 + 0.987524i \(0.449667\pi\)
\(702\) 21.4609 + 23.8347i 0.809988 + 0.899583i
\(703\) 19.2134 + 33.2785i 0.724646 + 1.25512i
\(704\) 0 0
\(705\) 1.17251 2.03084i 0.0441592 0.0764860i
\(706\) −3.82450 + 11.7706i −0.143937 + 0.442992i
\(707\) −12.0016 + 10.5735i −0.451367 + 0.397658i
\(708\) −30.7234 22.3218i −1.15465 0.838906i
\(709\) 50.5817 + 10.7515i 1.89963 + 0.403780i 0.999494 0.0318184i \(-0.0101298\pi\)
0.900141 + 0.435598i \(0.143463\pi\)
\(710\) 41.6156 46.2189i 1.56181 1.73456i
\(711\) −1.20588 + 11.4732i −0.0452240 + 0.430278i
\(712\) −1.83917 17.4985i −0.0689259 0.655786i
\(713\) −4.71410 + 14.5085i −0.176544 + 0.543348i
\(714\) −6.97969 + 0.657359i −0.261208 + 0.0246010i
\(715\) 0 0
\(716\) 7.53841 13.0569i 0.281724 0.487960i
\(717\) −9.07590 + 1.92914i −0.338946 + 0.0720451i
\(718\) 9.26498 + 4.12503i 0.345766 + 0.153945i
\(719\) 23.5559 10.4878i 0.878486 0.391127i 0.0826068 0.996582i \(-0.473675\pi\)
0.795880 + 0.605455i \(0.207009\pi\)
\(720\) −8.93891 27.5111i −0.333133 1.02528i
\(721\) 1.67886 2.25897i 0.0625240 0.0841284i
\(722\) −58.1530 42.2506i −2.16423 1.57241i
\(723\) 0.0336068 + 0.319747i 0.00124985 + 0.0118915i
\(724\) −50.2278 + 10.6762i −1.86670 + 0.396780i
\(725\) 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 \(0.292373\pi\)
\(728\) −35.1331 32.3288i −1.30212 1.19818i
\(729\) 2.63979 1.91792i 0.0977698 0.0710340i
\(730\) 42.9768 19.1345i 1.59064 0.708201i
\(731\) 5.25545 5.83677i 0.194380 0.215881i
\(732\) −26.0594 + 28.9419i −0.963184 + 1.06972i
\(733\) 8.48019 3.77563i 0.313223 0.139456i −0.244104 0.969749i \(-0.578494\pi\)
0.557327 + 0.830293i \(0.311827\pi\)
\(734\) 36.3171 26.3859i 1.34049 0.973921i
\(735\) 10.1531 4.25976i 0.374502 0.157124i
\(736\) 13.8944 0.512156
\(737\) 0 0
\(738\) 34.8995 + 60.4477i 1.28467 + 2.22511i
\(739\) −48.9986 + 10.4150i −1.80244 + 0.383121i −0.982041 0.188667i \(-0.939583\pi\)
−0.820402 + 0.571788i \(0.806250\pi\)
\(740\) 5.38129 + 51.1995i 0.197820 + 1.88213i
\(741\) 13.1244 + 9.53545i 0.482138 + 0.350293i
\(742\) 1.99488 + 0.231509i 0.0732342 + 0.00849895i
\(743\) −4.06909 12.5234i −0.149280 0.459438i 0.848256 0.529586i \(-0.177653\pi\)
−0.997537 + 0.0701482i \(0.977653\pi\)
\(744\) 8.41205 3.74529i 0.308401 0.137309i
\(745\) 2.01382 + 0.896611i 0.0737807 + 0.0328493i
\(746\) 70.4529 14.9752i 2.57947 0.548282i
\(747\) 2.41142 4.17670i 0.0882293 0.152818i
\(748\) 0 0
\(749\) 9.69992 + 13.6590i 0.354427 + 0.499090i
\(750\) 6.22379 19.1549i 0.227261 0.699437i
\(751\) −4.31846 41.0874i −0.157583 1.49930i −0.732319 0.680961i \(-0.761562\pi\)
0.574737 0.818339i \(-0.305105\pi\)
\(752\) −0.820982 + 7.81113i −0.0299381 + 0.284842i
\(753\) −0.534079 + 0.593154i −0.0194629 + 0.0216157i
\(754\) −13.2099 2.80786i −0.481078 0.102256i
\(755\) 26.4676 + 19.2298i 0.963255 + 0.699846i
\(756\) 32.7015 28.8103i 1.18934 1.04782i
\(757\) −14.0638 + 43.2839i −0.511157 + 1.57318i 0.279010 + 0.960288i \(0.409994\pi\)
−0.790167 + 0.612891i \(0.790006\pi\)
\(758\) −5.36591 + 9.29402i −0.194898 + 0.337574i
\(759\) 0 0
\(760\) −41.8676 72.5168i −1.51870 2.63046i
\(761\) −20.9250 23.2396i −0.758531 0.842434i 0.232977 0.972482i \(-0.425153\pi\)
−0.991508 + 0.130049i \(0.958487\pi\)
\(762\) 17.7974 12.9306i 0.644733 0.468426i
\(763\) 6.40675 + 3.79191i 0.231940 + 0.137276i
\(764\) 15.7328 + 48.4205i 0.569192 + 1.75179i
\(765\) −8.00724 1.70199i −0.289502 0.0615356i
\(766\) 3.21520 30.5906i 0.116170 1.10528i
\(767\) −38.0057 16.9212i −1.37231 0.610990i
\(768\) 15.5388 + 17.2576i 0.560707 + 0.622729i
\(769\) −42.0467 −1.51624 −0.758121 0.652114i \(-0.773882\pi\)
−0.758121 + 0.652114i \(0.773882\pi\)
\(770\) 0 0
\(771\) 16.2969 0.586920
\(772\) 33.5906 + 37.3061i 1.20895 + 1.34268i
\(773\) 6.98361 + 3.10930i 0.251183 + 0.111834i 0.528466 0.848954i \(-0.322767\pi\)
−0.277283 + 0.960788i \(0.589434\pi\)
\(774\) −3.41661 + 32.5069i −0.122808 + 1.16844i
\(775\) −0.323256 0.0687102i −0.0116117 0.00246814i
\(776\) 3.15495 + 9.70994i 0.113256 + 0.348567i
\(777\) −9.13759 + 5.14464i −0.327809 + 0.184563i
\(778\) −59.2918 + 43.0780i −2.12571 + 1.54442i
\(779\) 52.0759 + 57.8362i 1.86581 + 2.07220i
\(780\) 10.8670 + 18.8222i 0.389102 + 0.673944i
\(781\) 0 0
\(782\) 12.0520 20.8747i 0.430980 0.746479i
\(783\) 1.99737 6.14727i 0.0713801 0.219685i
\(784\) −25.2627 + 26.8651i −0.902240 + 0.959467i
\(785\) −11.3969 8.28030i −0.406771 0.295537i
\(786\) −1.31960 0.280490i −0.0470687 0.0100048i
\(787\) 18.6710 20.7363i 0.665550 0.739168i −0.311951 0.950098i \(-0.600983\pi\)
0.977501 + 0.210930i \(0.0676492\pi\)
\(788\) 5.34522 50.8564i 0.190416 1.81168i
\(789\) 0.685538 + 6.52246i 0.0244058 + 0.232206i
\(790\) −7.85855 + 24.1861i −0.279595 + 0.860504i
\(791\) −14.0573 + 30.6759i −0.499819 + 1.09071i
\(792\) 0 0
\(793\) −21.3320 + 36.9481i −0.757521 + 1.31206i
\(794\) 42.1491 8.95906i 1.49581 0.317945i
\(795\) −0.437885 0.194959i −0.0155302 0.00691448i
\(796\) 7.31656 3.25754i 0.259329 0.115460i
\(797\) 3.10747 + 9.56381i 0.110072 + 0.338767i 0.990887 0.134693i \(-0.0430047\pi\)
−0.880815 + 0.473460i \(0.843005\pi\)
\(798\) 19.4045 26.1095i 0.686913 0.924267i
\(799\) 1.79818 + 1.30646i 0.0636151 + 0.0462191i
\(800\) 0.0314631 + 0.299351i 0.00111239 + 0.0105837i
\(801\) 7.80731 1.65949i 0.275858 0.0586354i
\(802\) 31.0740 + 53.8218i 1.09726 + 1.90051i
\(803\) 0 0
\(804\) 13.7188 0.483824
\(805\) −8.27085 + 36.9421i −0.291509 + 1.30204i
\(806\) 15.5650 11.3087i 0.548255 0.398331i
\(807\) 10.1775 4.53130i 0.358263 0.159509i
\(808\) −22.2119 + 24.6688i −0.781410 + 0.867844i
\(809\) −25.8101 + 28.6650i −0.907435 + 1.00781i 0.0924920 + 0.995713i \(0.470517\pi\)
−0.999927 + 0.0120950i \(0.996150\pi\)
\(810\) 23.4605 10.4453i 0.824318 0.367010i
\(811\) 10.0124 7.27443i 0.351583 0.255440i −0.397950 0.917407i \(-0.630278\pi\)
0.749533 + 0.661967i \(0.230278\pi\)
\(812\) −4.00940 + 17.9082i −0.140702 + 0.628453i
\(813\) 19.7968 0.694303
\(814\) 0 0
\(815\) −10.9616 18.9860i −0.383968 0.665051i
\(816\) −5.48177 + 1.16519i −0.191900 + 0.0407897i
\(817\) 3.80954 + 36.2454i 0.133279 + 1.26806i
\(818\) −77.7010 56.4531i −2.71675 1.97383i
\(819\) 12.9193 17.3834i 0.451436 0.607424i
\(820\) 32.2201 + 99.1632i 1.12517 + 3.46293i
\(821\) −27.1671 + 12.0956i −0.948139 + 0.422139i −0.821754 0.569843i \(-0.807004\pi\)
−0.126385 + 0.991981i \(0.540338\pi\)
\(822\) 9.48403 + 4.22256i 0.330793 + 0.147279i
\(823\) −39.8859 + 8.47801i −1.39034 + 0.295525i −0.841433 0.540361i \(-0.818288\pi\)
−0.548903 + 0.835886i \(0.684954\pi\)
\(824\) 2.92056 5.05855i 0.101742 0.176223i
\(825\) 0 0
\(826\) −34.7537 + 75.8398i −1.20923 + 2.63880i
\(827\) 5.82222 17.9190i 0.202459 0.623103i −0.797350 0.603518i \(-0.793765\pi\)
0.999808 0.0195857i \(-0.00623473\pi\)
\(828\) 7.10544 + 67.6038i 0.246931 + 2.34939i
\(829\) 3.25508 30.9700i 0.113054 1.07563i −0.780030 0.625742i \(-0.784796\pi\)
0.893083 0.449891i \(-0.148537\pi\)
\(830\) 7.11385 7.90073i 0.246925 0.274238i
\(831\) −10.3382 2.19746i −0.358629 0.0762290i
\(832\) 13.8375 + 10.0535i 0.479728 + 0.348543i
\(833\) 3.00949 + 9.99270i 0.104273 + 0.346226i
\(834\) −3.06078 + 9.42012i −0.105986 + 0.326192i
\(835\) −2.13986 + 3.70635i −0.0740530 + 0.128264i
\(836\) 0 0
\(837\) 4.60407 + 7.97448i 0.159140 + 0.275638i
\(838\) 1.51499 + 1.68257i 0.0523345 + 0.0581234i
\(839\) −8.29961 + 6.03002i −0.286534 + 0.208179i −0.721763 0.692141i \(-0.756668\pi\)
0.435228 + 0.900320i \(0.356668\pi\)
\(840\) 19.9116 11.2106i 0.687015 0.386803i
\(841\) −8.12045 24.9922i −0.280015 0.861799i
\(842\) −37.8942 8.05466i −1.30592 0.277582i
\(843\) −1.13538 + 10.8025i −0.0391047 + 0.372056i
\(844\) 62.3944 + 27.7798i 2.14770 + 0.956219i
\(845\) −3.24384 3.60265i −0.111592 0.123935i
\(846\) −9.24992 −0.318019
\(847\) 0 0
\(848\) 1.60540 0.0551297
\(849\) 10.3689 + 11.5158i 0.355860 + 0.395223i
\(850\) 0.477030 + 0.212388i 0.0163620 + 0.00728483i
\(851\) 3.76872 35.8570i 0.129190 1.22916i
\(852\) 33.2377 + 7.06489i 1.13870 + 0.242039i
\(853\) −0.940756 2.89535i −0.0322109 0.0991348i 0.933659 0.358164i \(-0.116597\pi\)
−0.965869 + 0.259030i \(0.916597\pi\)
\(854\) 73.6235 + 43.5749i 2.51934 + 1.49110i
\(855\) 30.7309 22.3273i 1.05097 0.763577i
\(856\) 23.2643 + 25.8377i 0.795159 + 0.883114i
\(857\) 24.7766 + 42.9143i 0.846352 + 1.46592i 0.884442 + 0.466650i \(0.154539\pi\)
−0.0380904 + 0.999274i \(0.512127\pi\)
\(858\) 0 0
\(859\) −18.4373 + 31.9344i −0.629074 + 1.08959i 0.358664 + 0.933467i \(0.383232\pi\)
−0.987738 + 0.156121i \(0.950101\pi\)
\(860\) −15.0882 + 46.4368i −0.514505 + 1.58348i
\(861\) −15.9357 + 14.0395i −0.543089 + 0.478466i
\(862\) 7.12634 + 5.17759i 0.242724 + 0.176349i
\(863\) 45.4086 + 9.65189i 1.54573 + 0.328554i 0.900300 0.435270i \(-0.143347\pi\)
0.645425 + 0.763824i \(0.276680\pi\)
\(864\) 5.61186 6.23260i 0.190919 0.212037i
\(865\) 1.48215 14.1017i 0.0503946 0.479473i
\(866\) −4.59434 43.7122i −0.156122 1.48540i
\(867\) 3.25833 10.0281i 0.110659 0.340573i
\(868\) −15.1372 21.3157i −0.513792 0.723501i
\(869\) 0 0
\(870\) 3.23181 5.59766i 0.109569 0.189778i
\(871\) 14.7003 3.12465i 0.498102 0.105875i
\(872\) 14.1148 + 6.28432i 0.477988 + 0.212814i
\(873\) −4.23107 + 1.88379i −0.143200 + 0.0637567i
\(874\) 34.5630 + 106.374i 1.16911 + 3.59815i
\(875\) −29.7817 3.45622i −1.00681 0.116841i
\(876\) 20.7942 + 15.1079i 0.702572 + 0.510448i
\(877\) 4.07985 + 38.8172i 0.137767 + 1.31076i 0.816914 + 0.576760i \(0.195683\pi\)
−0.679147 + 0.734002i \(0.737650\pi\)
\(878\) 36.6129 7.78230i 1.23562 0.262640i
\(879\) −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 \(0.765782\pi\)
\(882\) −34.5759 26.2820i −1.16423 0.884960i
\(883\) 18.8983 13.7304i 0.635978 0.462065i −0.222488 0.974935i \(-0.571418\pi\)
0.858466 + 0.512871i \(0.171418\pi\)
\(884\) −18.8192 + 8.37884i −0.632958 + 0.281811i
\(885\) 13.3232 14.7969i 0.447854 0.497393i
\(886\) 22.0384 24.4761i 0.740395 0.822292i
\(887\) −38.2936 + 17.0494i −1.28577 + 0.572464i −0.931861 0.362815i \(-0.881816\pi\)
−0.353913 + 0.935278i \(0.615149\pi\)
\(888\) −17.6065 + 12.7918i −0.590834 + 0.429266i
\(889\) −24.0979 22.1744i −0.808219 0.743707i
\(890\) 17.5949 0.589783
\(891\) 0 0
\(892\) −6.38343 11.0564i −0.213733 0.370196i
\(893\) −10.0883 + 2.14434i −0.337593 + 0.0717576i
\(894\) 0.185781 + 1.76759i 0.00621345 + 0.0591170i
\(895\) 6.39520 + 4.64638i 0.213768 + 0.155311i
\(896\) 27.2154 36.6193i 0.909203 1.22337i
\(897\) −4.70360 14.4762i −0.157049 0.483346i
\(898\) −22.5473 + 10.0387i −0.752412 + 0.334995i
\(899\) −3.54211 1.57705i −0.118136 0.0525976i
\(900\) −1.44041 + 0.306169i −0.0480137 + 0.0102056i
\(901\) 0.227159 0.393451i 0.00756776 0.0131078i
\(902\) 0 0
\(903\) −9.90170 + 0.932559i −0.329508 + 0.0310336i
\(904\) −21.6403 + 66.6020i −0.719746 + 2.21515i
\(905\) −2.81424 26.7757i −0.0935484 0.890054i
\(906\) −2.75720 + 26.2330i −0.0916018 + 0.871533i
\(907\) −13.7293 + 15.2479i −0.455874 + 0.506299i −0.926635 0.375961i \(-0.877313\pi\)
0.470762 + 0.882260i \(0.343979\pi\)
\(908\) 75.8723 + 16.1272i 2.51791 + 0.535199i
\(909\) −12.1826 8.85120i −0.404072 0.293576i
\(910\) 35.8241 31.5613i 1.18756 1.04625i
\(911\) 8.55220 26.3210i 0.283347 0.872052i −0.703542 0.710653i \(-0.748399\pi\)
0.986889 0.161399i \(-0.0516006\pi\)
\(912\) 13.0025 22.5209i 0.430554 0.745742i
\(913\) 0 0
\(914\) 12.8840 + 22.3158i 0.426165 + 0.738140i
\(915\) −13.6632 15.1745i −0.451690 0.501653i
\(916\) 86.7360 63.0174i 2.86584 2.08215i
\(917\) −0.0217191 + 2.00815i −0.000717229 + 0.0663149i
\(918\) −4.49602 13.8373i −0.148391 0.456700i
\(919\) 0.942401 + 0.200313i 0.0310869 + 0.00660773i 0.223429 0.974720i \(-0.428275\pi\)
−0.192342 + 0.981328i \(0.561608\pi\)
\(920\) −8.21237 + 78.1355i −0.270754 + 2.57605i
\(921\) 16.2868 + 7.25133i 0.536667 + 0.238939i
\(922\) 25.5627 + 28.3903i 0.841864 + 0.934984i
\(923\) 37.2249 1.22527
\(924\) 0 0
\(925\) 0.781061 0.0256811
\(926\) −41.8867 46.5199i −1.37648 1.52874i
\(927\) 2.42067 + 1.07775i 0.0795051 + 0.0353980i
\(928\) −0.369140 + 3.51213i −0.0121176 + 0.115291i
\(929\) −25.7566 5.47473i −0.845045 0.179620i −0.235009 0.971993i \(-0.575512\pi\)
−0.610037 + 0.792373i \(0.708845\pi\)
\(930\) 2.84547 + 8.75746i 0.0933067 + 0.287168i
\(931\) −43.8026 20.6487i −1.43557 0.676733i
\(932\) 12.9853 9.43439i 0.425349 0.309034i
\(933\) −16.5870 18.4217i −0.543034 0.603100i
\(934\) 0.929110 + 1.60927i 0.0304014 + 0.0526568i
\(935\) 0 0
\(936\) 22.4745 38.9269i 0.734601 1.27237i
\(937\) 6.60878 20.3397i 0.215899 0.664470i −0.783189 0.621784i \(-0.786408\pi\)
0.999089 0.0426865i \(-0.0135917\pi\)
\(938\) −5.94657 29.5440i −0.194162 0.964646i
\(939\) 13.6866 + 9.94392i 0.446646 + 0.324508i
\(940\) −13.5157 2.87284i −0.440832 0.0937018i
\(941\) −9.91842 + 11.0155i −0.323331 + 0.359096i −0.882794 0.469760i \(-0.844341\pi\)
0.559463 + 0.828855i \(0.311007\pi\)
\(942\) 1.18724 11.2958i 0.0386824 0.368038i
\(943\) −7.63284 72.6217i −0.248560 2.36489i
\(944\) −20.6079 + 63.4246i −0.670730 + 2.06429i
\(945\) 13.2305 + 18.6307i 0.430389 + 0.606056i
\(946\) 0 0
\(947\) −15.8560 + 27.4634i −0.515251 + 0.892442i 0.484592 + 0.874740i \(0.338968\pi\)
−0.999843 + 0.0177013i \(0.994365\pi\)
\(948\) −13.5908 + 2.88881i −0.441409 + 0.0938243i
\(949\) 25.7231 + 11.4526i 0.835006 + 0.371768i
\(950\) −2.21353 + 0.985526i −0.0718163 + 0.0319747i
\(951\) −4.33869 13.3531i −0.140692 0.433004i
\(952\) 8.59479 + 19.8801i 0.278559 + 0.644318i
\(953\) 40.4201 + 29.3669i 1.30933 + 0.951287i 1.00000 0.000333943i \(0.000106297\pi\)
0.309335 + 0.950953i \(0.399894\pi\)
\(954\) 0.197632 + 1.88034i 0.00639856 + 0.0608783i
\(955\) −26.1104 + 5.54995i −0.844914 + 0.179592i
\(956\) 27.3365 + 47.3481i 0.884124 + 1.53135i
\(957\) 0 0
\(958\) 50.0988 1.61862
\(959\) 3.37639 15.0808i 0.109029 0.486984i
\(960\) −6.62272 + 4.81169i −0.213747 + 0.155296i
\(961\) −23.2738 + 10.3622i −0.750767 + 0.334263i
\(962\) −30.4261 + 33.7916i −0.980977 + 1.08949i
\(963\) −10.5536 + 11.7209i −0.340085 + 0.377702i
\(964\) 1.73065 0.770535i 0.0557405 0.0248173i
\(965\) −21.2937 + 15.4708i −0.685468 + 0.498022i
\(966\) −29.1288 + 9.11745i −0.937205 + 0.293349i
\(967\) 52.4581 1.68694 0.843469 0.537178i \(-0.180510\pi\)
0.843469 + 0.537178i \(0.180510\pi\)
\(968\) 0 0
\(969\) −3.67961 6.37327i −0.118206 0.204739i
\(970\) −9.98653 + 2.12270i −0.320648 + 0.0681559i
\(971\) −3.22225 30.6577i −0.103407 0.983853i −0.916043 0.401081i \(-0.868635\pi\)
0.812636 0.582772i \(-0.198032\pi\)
\(972\) 51.3311 + 37.2942i 1.64645 + 1.19621i
\(973\) 14.6463 + 1.69972i 0.469538 + 0.0544907i
\(974\) −3.27124 10.0678i −0.104817 0.322595i
\(975\) 0.301234 0.134118i 0.00964720 0.00429521i
\(976\) 62.4776 + 27.8168i 1.99986 + 0.890394i
\(977\) −24.1950 + 5.14281i −0.774067 + 0.164533i −0.577977 0.816053i \(-0.696158\pi\)
−0.196090 + 0.980586i \(0.562824\pi\)
\(978\) 8.83791 15.3077i 0.282605 0.489487i
\(979\) 0 0
\(980\) −42.3585 49.1409i −1.35309 1.56975i
\(981\) −2.16589 + 6.66593i −0.0691516 + 0.212827i
\(982\) 7.89636 + 75.1289i 0.251983 + 2.39746i
\(983\) −1.27774 + 12.1569i −0.0407536 + 0.387744i 0.955065 + 0.296395i \(0.0957845\pi\)
−0.995819 + 0.0913490i \(0.970882\pi\)
\(984\) −29.4929 + 32.7552i −0.940200 + 1.04420i
\(985\) 26.2254 + 5.57438i 0.835611 + 0.177615i
\(986\) 4.95637 + 3.60101i 0.157843 + 0.114680i
\(987\) −0.555363 2.75918i −0.0176774 0.0878257i
\(988\) 29.5387 90.9109i 0.939752 2.89226i
\(989\) 17.0975 29.6138i 0.543670 0.941665i
\(990\) 0 0
\(991\) −2.30008 3.98386i −0.0730645 0.126552i 0.827178 0.561939i \(-0.189945\pi\)
−0.900243 + 0.435388i \(0.856611\pi\)
\(992\) −3.36638 3.73874i −0.106883 0.118705i
\(993\) −16.2730 + 11.8230i −0.516408 + 0.375192i
\(994\) 0.807282 74.6412i 0.0256054 2.36748i
\(995\) 1.29761 + 3.99365i 0.0411371 + 0.126607i
\(996\) 5.68170 + 1.20768i 0.180032 + 0.0382669i
\(997\) −3.60376 + 34.2875i −0.114132 + 1.08589i 0.776170 + 0.630524i \(0.217160\pi\)
−0.890302 + 0.455371i \(0.849507\pi\)
\(998\) 32.8614 + 14.6308i 1.04021 + 0.463131i
\(999\) −14.5621 16.1729i −0.460726 0.511688i
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.d.9.3 24
7.4 even 3 inner 847.2.n.d.130.1 24
11.2 odd 10 847.2.n.e.366.3 24
11.3 even 5 inner 847.2.n.d.807.3 24
11.4 even 5 847.2.e.d.485.1 6
11.5 even 5 inner 847.2.n.d.632.1 24
11.6 odd 10 847.2.n.e.632.3 24
11.7 odd 10 77.2.e.b.23.3 6
11.8 odd 10 847.2.n.e.807.1 24
11.9 even 5 inner 847.2.n.d.366.1 24
11.10 odd 2 847.2.n.e.9.1 24
33.29 even 10 693.2.i.g.100.1 6
44.7 even 10 1232.2.q.k.177.2 6
77.4 even 15 847.2.e.d.606.1 6
77.18 odd 30 77.2.e.b.67.3 yes 6
77.25 even 15 inner 847.2.n.d.81.1 24
77.26 odd 30 5929.2.a.w.1.3 3
77.32 odd 6 847.2.n.e.130.3 24
77.37 even 15 5929.2.a.v.1.3 3
77.39 odd 30 847.2.n.e.753.1 24
77.40 even 30 539.2.a.i.1.1 3
77.46 odd 30 847.2.n.e.487.1 24
77.51 odd 30 539.2.a.h.1.1 3
77.53 even 15 inner 847.2.n.d.487.3 24
77.60 even 15 inner 847.2.n.d.753.3 24
77.62 even 10 539.2.e.l.177.3 6
77.73 even 30 539.2.e.l.67.3 6
77.74 odd 30 847.2.n.e.81.3 24
231.95 even 30 693.2.i.g.298.1 6
231.128 even 30 4851.2.a.bo.1.3 3
231.194 odd 30 4851.2.a.bn.1.3 3
308.51 even 30 8624.2.a.cl.1.2 3
308.95 even 30 1232.2.q.k.529.2 6
308.271 odd 30 8624.2.a.ck.1.2 3
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
77.2.e.b.23.3 6 11.7 odd 10
77.2.e.b.67.3 yes 6 77.18 odd 30
539.2.a.h.1.1 3 77.51 odd 30
539.2.a.i.1.1 3 77.40 even 30
539.2.e.l.67.3 6 77.73 even 30
539.2.e.l.177.3 6 77.62 even 10
693.2.i.g.100.1 6 33.29 even 10
693.2.i.g.298.1 6 231.95 even 30
847.2.e.d.485.1 6 11.4 even 5
847.2.e.d.606.1 6 77.4 even 15
847.2.n.d.9.3 24 1.1 even 1 trivial
847.2.n.d.81.1 24 77.25 even 15 inner
847.2.n.d.130.1 24 7.4 even 3 inner
847.2.n.d.366.1 24 11.9 even 5 inner
847.2.n.d.487.3 24 77.53 even 15 inner
847.2.n.d.632.1 24 11.5 even 5 inner
847.2.n.d.753.3 24 77.60 even 15 inner
847.2.n.d.807.3 24 11.3 even 5 inner
847.2.n.e.9.1 24 11.10 odd 2
847.2.n.e.81.3 24 77.74 odd 30
847.2.n.e.130.3 24 77.32 odd 6
847.2.n.e.366.3 24 11.2 odd 10
847.2.n.e.487.1 24 77.46 odd 30
847.2.n.e.632.3 24 11.6 odd 10
847.2.n.e.753.1 24 77.39 odd 30
847.2.n.e.807.1 24 11.8 odd 10
1232.2.q.k.177.2 6 44.7 even 10
1232.2.q.k.529.2 6 308.95 even 30
4851.2.a.bn.1.3 3 231.194 odd 30
4851.2.a.bo.1.3 3 231.128 even 30
5929.2.a.v.1.3 3 77.37 even 15
5929.2.a.w.1.3 3 77.26 odd 30
8624.2.a.ck.1.2 3 308.271 odd 30
8624.2.a.cl.1.2 3 308.51 even 30