LMFDB - Embedded newform 650.2.ba.b.73.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [650,2,Mod(73,650)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(650, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([11, 5]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("650.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 650 = 2 \cdot 5^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	650.ba (of order $20$, degree $8$, 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:	$5.19027613138$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$18$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			73.10
Character	$\chi$	$=$	650.73
Dual form			650.2.ba.b.187.10

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 - 0.587785i) q^{2} +(0.485767 - 0.247511i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-2.07582 - 0.831238i) q^{5} +(0.247511 - 0.485767i) q^{6} -3.75726i q^{7} +(-0.309017 - 0.951057i) q^{8} +(-1.58865 + 2.18659i) q^{9} +O(q^{10})$	\(q+(0.809017 - 0.587785i) q^{2} +(0.485767 - 0.247511i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-2.07582 - 0.831238i) q^{5} +(0.247511 - 0.485767i) q^{6} -3.75726i q^{7} +(-0.309017 - 0.951057i) q^{8} +(-1.58865 + 2.18659i) q^{9} +(-2.16797 + 0.547653i) q^{10} +(-0.353844 + 2.23408i) q^{11} +(-0.0852863 - 0.538477i) q^{12} +(-3.09764 - 1.84517i) q^{13} +(-2.20846 - 3.03969i) q^{14} +(-1.21411 + 0.110000i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(2.04625 - 4.01599i) q^{17} +2.70277i q^{18} +(-4.29384 - 2.18782i) q^{19} +(-1.43202 + 1.71736i) q^{20} +(-0.929961 - 1.82515i) q^{21} +(1.02689 + 2.01539i) q^{22} +(0.692024 - 4.36927i) q^{23} +(-0.385507 - 0.385507i) q^{24} +(3.61809 + 3.45101i) q^{25} +(-3.59060 + 0.327975i) q^{26} +(-0.486368 + 3.07081i) q^{27} +(-3.57337 - 1.16106i) q^{28} +(1.90129 + 0.617766i) q^{29} +(-0.917576 + 0.802626i) q^{30} +(-2.90882 + 5.70888i) q^{31} -1.00000 q^{32} +(0.381073 + 1.17282i) q^{33} +(-0.705089 - 4.45176i) q^{34} +(-3.12318 + 7.79941i) q^{35} +(1.58865 + 2.18659i) q^{36} +(3.81202 - 5.24679i) q^{37} +(-4.75976 + 0.753871i) q^{38} +(-1.96143 - 0.129622i) q^{39} +(-0.149090 + 2.23109i) q^{40} +(-0.603006 - 3.80723i) q^{41} +(-1.82515 - 0.929961i) q^{42} +(-0.784071 + 0.784071i) q^{43} +(2.01539 + 1.02689i) q^{44} +(5.11533 - 3.21842i) q^{45} +(-2.00833 - 3.94158i) q^{46} +(2.44406 + 0.794122i) q^{47} +(-0.538477 - 0.0852863i) q^{48} -7.11700 q^{49} +(4.95554 + 0.665266i) q^{50} -2.45730i q^{51} +(-2.71208 + 2.37584i) q^{52} +(6.78209 - 3.45565i) q^{53} +(1.41150 + 2.77022i) q^{54} +(2.59157 - 4.34343i) q^{55} +(-3.57337 + 1.16106i) q^{56} -2.62731 q^{57} +(1.90129 - 0.617766i) q^{58} +(-1.13920 - 7.19264i) q^{59} +(-0.270563 + 1.18868i) q^{60} +(5.94334 - 4.31809i) q^{61} +(1.00231 + 6.32835i) q^{62} +(8.21557 + 5.96896i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(4.89638 + 6.40511i) q^{65} +(0.997662 + 0.724844i) q^{66} +(-4.66542 - 14.3587i) q^{67} +(-3.18711 - 3.18711i) q^{68} +(-0.745278 - 2.29373i) q^{69} +(2.05767 + 8.14561i) q^{70} +(7.29221 - 3.71557i) q^{71} +(2.57049 + 0.835202i) q^{72} +(-12.1802 + 8.84942i) q^{73} -6.48540i q^{74} +(2.61171 + 0.780870i) q^{75} +(-3.40761 + 3.40761i) q^{76} +(8.39402 + 1.32948i) q^{77} +(-1.66302 + 1.04803i) q^{78} +(14.9524 + 4.85833i) q^{79} +(1.19079 + 1.89262i) q^{80} +(-1.98181 - 6.09938i) q^{81} +(-2.72568 - 2.72568i) q^{82} +(-5.67036 + 1.84241i) q^{83} +(-2.02320 + 0.320443i) q^{84} +(-7.58590 + 6.63557i) q^{85} +(-0.173462 + 1.09519i) q^{86} +(1.07649 - 0.170499i) q^{87} +(2.23408 - 0.353844i) q^{88} +(14.2805 + 2.26180i) q^{89} +(2.24665 - 5.61047i) q^{90} +(-6.93277 + 11.6386i) q^{91} +(-3.94158 - 2.00833i) q^{92} +3.49315i q^{93} +(2.44406 - 0.794122i) q^{94} +(7.09465 + 8.11073i) q^{95} +(-0.485767 + 0.247511i) q^{96} +(-3.78071 + 11.6358i) q^{97} +(-5.75777 + 4.18327i) q^{98} +(-4.32288 - 4.32288i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q + 36 q^{2} - 36 q^{4} + 36 q^{8} - 20 q^{9}+O(q^{10}) $ 144 * q + 36 * q^2 - 36 * q^4 + 36 * q^8 - 20 * q^9	$ 144 q + 36 q^{2} - 36 q^{4} + 36 q^{8} - 20 q^{9} + 6 q^{13} + 8 q^{15} - 36 q^{16} - 6 q^{17} - 20 q^{19} - 6 q^{21} + 12 q^{23} + 2 q^{25} + 14 q^{26} - 24 q^{27} + 20 q^{29} + 12 q^{30} - 6 q^{31} - 144 q^{32} - 54 q^{33} + 6 q^{34} + 40 q^{35} + 20 q^{36} - 60 q^{37} + 20 q^{39} + 52 q^{41} + 6 q^{42} - 12 q^{43} - 6 q^{45} + 28 q^{46} + 50 q^{47} - 160 q^{49} - 22 q^{50} + 6 q^{52} + 20 q^{53} - 6 q^{54} - 32 q^{55} - 28 q^{57} + 20 q^{58} - 16 q^{59} - 12 q^{60} + 12 q^{61} + 6 q^{62} - 70 q^{63} - 36 q^{64} + 44 q^{65} - 16 q^{66} - 8 q^{67} - 6 q^{68} + 26 q^{69} + 10 q^{70} + 72 q^{71} - 52 q^{73} + 32 q^{75} - 56 q^{77} - 50 q^{78} - 20 q^{79} + 124 q^{81} - 22 q^{82} + 70 q^{83} - 6 q^{84} - 18 q^{85} - 8 q^{86} + 8 q^{87} + 28 q^{89} - 14 q^{90} - 26 q^{91} + 12 q^{92} + 50 q^{94} - 46 q^{95} + 28 q^{97} - 20 q^{98} + 40 q^{99}+O(q^{100}) $ 144 * q + 36 * q^2 - 36 * q^4 + 36 * q^8 - 20 * q^9 + 6 * q^13 + 8 * q^15 - 36 * q^16 - 6 * q^17 - 20 * q^19 - 6 * q^21 + 12 * q^23 + 2 * q^25 + 14 * q^26 - 24 * q^27 + 20 * q^29 + 12 * q^30 - 6 * q^31 - 144 * q^32 - 54 * q^33 + 6 * q^34 + 40 * q^35 + 20 * q^36 - 60 * q^37 + 20 * q^39 + 52 * q^41 + 6 * q^42 - 12 * q^43 - 6 * q^45 + 28 * q^46 + 50 * q^47 - 160 * q^49 - 22 * q^50 + 6 * q^52 + 20 * q^53 - 6 * q^54 - 32 * q^55 - 28 * q^57 + 20 * q^58 - 16 * q^59 - 12 * q^60 + 12 * q^61 + 6 * q^62 - 70 * q^63 - 36 * q^64 + 44 * q^65 - 16 * q^66 - 8 * q^67 - 6 * q^68 + 26 * q^69 + 10 * q^70 + 72 * q^71 - 52 * q^73 + 32 * q^75 - 56 * q^77 - 50 * q^78 - 20 * q^79 + 124 * q^81 - 22 * q^82 + 70 * q^83 - 6 * q^84 - 18 * q^85 - 8 * q^86 + 8 * q^87 + 28 * q^89 - 14 * q^90 - 26 * q^91 + 12 * q^92 + 50 * q^94 - 46 * q^95 + 28 * q^97 - 20 * q^98 + 40 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/650\mathbb{Z}\right)^\times$.

$n$	$27$	$301$
$\chi(n)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{1}{4}\right)$

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 $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$3$	0.485767	−	0.247511i	0.280458	−	0.142900i	−0.308104	−	0.951353i	$-0.599694\pi$
$3$	0.485767	−	0.247511i	0.280458	−	0.142900i	0.588562	+	0.808452i	$0.299694\pi$
$4$	0.309017	−	0.951057i	0.154508	−	0.475528i
$5$	−2.07582	−	0.831238i	−0.928336	−	0.371741i
$5$	−2.07582	−	0.831238i	−0.928336	−	0.371741i
$6$	0.247511	−	0.485767i	0.101046	−	0.198313i
$7$		−	3.75726i		−	1.42011i	−0.704146	−	0.710055i	$-0.748670\pi$
$7$		−	3.75726i		−	1.42011i	0.704146	−	0.710055i	$-0.251330\pi$
$8$	−0.309017	−	0.951057i	−0.109254	−	0.336249i
$9$	−1.58865	+	2.18659i	−0.529549	+	0.728862i
$10$	−2.16797	+	0.547653i	−0.685571	+	0.173183i
$11$	−0.353844	+	2.23408i	−0.106688	+	0.673601i	0.875146	+	0.483859i	$0.160765\pi$
$11$	−0.353844	+	2.23408i	−0.106688	+	0.673601i	−0.981834	+	0.189742i	$0.939235\pi$
$12$	−0.0852863	−	0.538477i	−0.0246200	−	0.155445i
$13$	−3.09764	−	1.84517i	−0.859130	−	0.511757i
$13$	−3.09764	−	1.84517i	−0.859130	−	0.511757i
$14$	−2.20846	−	3.03969i	−0.590236	−	0.812390i
$15$	−1.21411	+	0.110000i	−0.313481	+	0.0284019i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	2.04625	−	4.01599i	0.496288	−	0.974021i	−0.497988	−	0.867184i	$-0.665928\pi$
$17$	2.04625	−	4.01599i	0.496288	−	0.974021i	0.994277	−	0.106837i	$-0.0340722\pi$
$18$			2.70277i			0.637049i
$19$	−4.29384	−	2.18782i	−0.985074	−	0.501920i	−0.114216	−	0.993456i	$-0.536436\pi$
$19$	−4.29384	−	2.18782i	−0.985074	−	0.501920i	−0.870857	+	0.491536i	$0.836436\pi$
$20$	−1.43202	+	1.71736i	−0.320209	+	0.384013i
$21$	−0.929961	−	1.82515i	−0.202934	−	0.398281i
$22$	1.02689	+	2.01539i	0.218935	+	0.429683i
$23$	0.692024	−	4.36927i	0.144297	−	0.911056i	−0.804220	−	0.594331i	$-0.797417\pi$
$23$	0.692024	−	4.36927i	0.144297	−	0.911056i	0.948518	−	0.316725i	$-0.102583\pi$
$24$	−0.385507	−	0.385507i	−0.0786912	−	0.0786912i
$25$	3.61809	+	3.45101i	0.723617	+	0.690202i
$26$	−3.59060	+	0.327975i	−0.704175	+	0.0643212i
$27$	−0.486368	+	3.07081i	−0.0936016	+	0.590977i
$28$	−3.57337	−	1.16106i	−0.675303	−	0.219419i
$29$	1.90129	+	0.617766i	0.353060	+	0.114716i	0.480177	−	0.877171i	$-0.340572\pi$
$29$	1.90129	+	0.617766i	0.353060	+	0.114716i	−0.127117	+	0.991888i	$0.540572\pi$
$30$	−0.917576	+	0.802626i	−0.167526	+	0.146539i
$31$	−2.90882	+	5.70888i	−0.522440	+	1.02535i	0.467518	+	0.883983i	$0.345148\pi$
$31$	−2.90882	+	5.70888i	−0.522440	+	1.02535i	−0.989958	+	0.141362i	$0.954852\pi$
$32$	−1.00000			−0.176777
$33$	0.381073	+	1.17282i	0.0663363	+	0.204162i
$34$	−0.705089	−	4.45176i	−0.120922	−	0.763470i
$35$	−3.12318	+	7.79941i	−0.527913	+	1.31834i
$36$	1.58865	+	2.18659i	0.264775	+	0.364431i
$37$	3.81202	−	5.24679i	0.626692	−	0.862568i	−0.371127	−	0.928582i	$-0.621028\pi$
$37$	3.81202	−	5.24679i	0.626692	−	0.862568i	0.997819	+	0.0660146i	$0.0210284\pi$
$38$	−4.75976	+	0.753871i	−0.772134	+	0.122294i
$39$	−1.96143	−	0.129622i	−0.314080	−	0.0207562i
$40$	−0.149090	+	2.23109i	−0.0235732	+	0.352767i
$41$	−0.603006	−	3.80723i	−0.0941737	−	0.594589i	−0.988970	−	0.148115i	$-0.952679\pi$
$41$	−0.603006	−	3.80723i	−0.0941737	−	0.594589i	0.894796	−	0.446474i	$-0.147321\pi$
$42$	−1.82515	−	0.929961i	−0.281627	−	0.143496i
$43$	−0.784071	+	0.784071i	−0.119570	+	0.119570i	−0.764360	−	0.644790i	$-0.776945\pi$
$43$	−0.784071	+	0.784071i	−0.119570	+	0.119570i	0.644790	+	0.764360i	$0.276945\pi$
$44$	2.01539	+	1.02689i	0.303832	+	0.154810i
$45$	5.11533	−	3.21842i	0.762548	−	0.479774i
$46$	−2.00833	−	3.94158i	−0.296113	−	0.581154i
$47$	2.44406	+	0.794122i	0.356502	+	0.115835i	0.481792	−	0.876286i	$-0.339986\pi$
$47$	2.44406	+	0.794122i	0.356502	+	0.115835i	−0.125290	+	0.992120i	$0.539986\pi$
$48$	−0.538477	−	0.0852863i	−0.0777224	−	0.0123100i
$49$	−7.11700			−1.01671
$50$	4.95554	+	0.665266i	0.700820	+	0.0940829i
$51$		−	2.45730i		−	0.344091i
$52$	−2.71208	+	2.37584i	−0.376098	+	0.329470i
$53$	6.78209	−	3.45565i	0.931592	−	0.474670i	0.0787824	−	0.996892i	$-0.474897\pi$
$53$	6.78209	−	3.45565i	0.931592	−	0.474670i	0.852810	+	0.522222i	$0.174897\pi$
$54$	1.41150	+	2.77022i	0.192080	+	0.376979i
$55$	2.59157	−	4.34343i	0.349447	−	0.585668i
$56$	−3.57337	+	1.16106i	−0.477511	+	0.155153i
$57$	−2.62731			−0.347996
$58$	1.90129	−	0.617766i	0.249651	−	0.0811167i
$59$	−1.13920	−	7.19264i	−0.148312	−	0.936402i	−0.943820	−	0.330460i	$-0.892796\pi$
$59$	−1.13920	−	7.19264i	−0.148312	−	0.936402i	0.795508	−	0.605943i	$-0.207204\pi$
$60$	−0.270563	+	1.18868i	−0.0349295	+	0.153457i
$61$	5.94334	−	4.31809i	0.760966	−	0.552874i	−0.138240	−	0.990399i	$-0.544145\pi$
$61$	5.94334	−	4.31809i	0.760966	−	0.552874i	0.899207	+	0.437524i	$0.144145\pi$
$62$	1.00231	+	6.32835i	0.127294	+	0.803701i
$63$	8.21557	+	5.96896i	1.03506	+	0.752019i
$64$	−0.809017	+	0.587785i	−0.101127	+	0.0734732i
$65$	4.89638	+	6.40511i	0.607321	+	0.794457i
$66$	0.997662	+	0.724844i	0.122804	+	0.0892221i
$67$	−4.66542	−	14.3587i	−0.569972	−	1.75419i	−0.652696	−	0.757620i	$-0.726362\pi$
$67$	−4.66542	−	14.3587i	−0.569972	−	1.75419i	0.0827241	−	0.996572i	$-0.473638\pi$
$68$	−3.18711	−	3.18711i	−0.386494	−	0.386494i
$69$	−0.745278	−	2.29373i	−0.0897209	−	0.276133i
$70$	2.05767	+	8.14561i	0.245939	+	0.973587i
$71$	7.29221	−	3.71557i	0.865426	−	0.440957i	0.0358546	−	0.999357i	$-0.488585\pi$
$71$	7.29221	−	3.71557i	0.865426	−	0.440957i	0.829572	+	0.558400i	$0.188585\pi$
$72$	2.57049	+	0.835202i	0.302935	+	0.0984295i
$73$	−12.1802	+	8.84942i	−1.42558	+	1.03575i	−0.434763	+	0.900545i	$0.643168\pi$
$73$	−12.1802	+	8.84942i	−1.42558	+	1.03575i	−0.990818	+	0.135201i	$0.956832\pi$
$74$		−	6.48540i		−	0.753912i
$75$	2.61171	+	0.780870i	0.301574	+	0.0901672i
$76$	−3.40761	+	3.40761i	−0.390880	+	0.390880i
$77$	8.39402	+	1.32948i	0.956587	+	0.151509i
$78$	−1.66302	+	1.04803i	−0.188300	+	0.118666i
$79$	14.9524	+	4.85833i	1.68227	+	0.546604i	0.985351	−	0.170540i	$-0.0545513\pi$
$79$	14.9524	+	4.85833i	1.68227	+	0.546604i	0.696924	+	0.717145i	$0.254551\pi$
$80$	1.19079	+	1.89262i	0.133134	+	0.211602i
$81$	−1.98181	−	6.09938i	−0.220201	−	0.677709i
$82$	−2.72568	−	2.72568i	−0.301001	−	0.301001i
$83$	−5.67036	+	1.84241i	−0.622403	+	0.202231i	−0.603207	−	0.797585i	$-0.706111\pi$
$83$	−5.67036	+	1.84241i	−0.622403	+	0.202231i	−0.0191960	+	0.999816i	$0.506111\pi$
$84$	−2.02320	+	0.320443i	−0.220749	+	0.0349632i
$85$	−7.58590	+	6.63557i	−0.822806	+	0.719728i
$86$	−0.173462	+	1.09519i	−0.0187048	+	0.118098i
$87$	1.07649	−	0.170499i	0.115411	−	0.0182794i
$88$	2.23408	−	0.353844i	0.238154	−	0.0377199i
$89$	14.2805	+	2.26180i	1.51372	+	0.239750i	0.857369	−	0.514702i	$-0.172097\pi$
$89$	14.2805	+	2.26180i	1.51372	+	0.239750i	0.656355	+	0.754452i	$0.272097\pi$
$90$	2.24665	−	5.61047i	0.236817	−	0.591396i
$91$	−6.93277	+	11.6386i	−0.726752	+	1.22006i
$92$	−3.94158	−	2.00833i	−0.410938	−	0.209383i
$93$			3.49315i			0.362223i
$94$	2.44406	−	0.794122i	0.252085	−	0.0819074i
$95$	7.09465	+	8.11073i	0.727896	+	0.832143i
$96$	−0.485767	+	0.247511i	−0.0495784	+	0.0252614i
$97$	−3.78071	+	11.6358i	−0.383873	+	1.18144i	0.553422	+	0.832901i	$0.313322\pi$
$97$	−3.78071	+	11.6358i	−0.383873	+	1.18144i	−0.937295	+	0.348538i	$0.886678\pi$
$98$	−5.75777	+	4.18327i	−0.581623	+	0.422574i
$99$	−4.32288	−	4.32288i	−0.434466	−	0.434466i
$100$	4.40015	−	2.37458i	0.440015	−	0.237458i
$101$			6.44648i			0.641448i	0.947173	+	0.320724i	$0.103926\pi$
$101$			6.44648i			0.641448i	−0.947173	+	0.320724i	$0.896074\pi$
$102$	−1.44437	−	1.98800i	−0.143014	−	0.196841i
$103$	−0.0529050	−	0.103832i	−0.00521288	−	0.0102309i	0.888385	−	0.459098i	$-0.151827\pi$
$103$	−0.0529050	−	0.103832i	−0.00521288	−	0.0102309i	−0.893598	+	0.448868i	$0.851827\pi$
$104$	−0.797635	+	3.51622i	−0.0782145	+	0.344793i
$105$	0.413299	+	4.56171i	0.0403339	+	0.445178i
$106$	3.45565	−	6.78209i	0.335642	−	0.658735i
$107$	6.13359	−	6.13359i	0.592957	−	0.592957i	−0.345472	−	0.938429i	$-0.612281\pi$
$107$	6.13359	−	6.13359i	0.592957	−	0.592957i	0.938429	+	0.345472i	$0.112281\pi$
$108$	2.77022	+	1.41150i	0.266564	+	0.135821i
$109$	−3.21888	+	0.509820i	−0.308312	+	0.0488319i	−0.308673	−	0.951168i	$-0.599885\pi$
$109$	−3.21888	+	0.509820i	−0.308312	+	0.0488319i	0.000361158		1.00000i	$0.499885\pi$
$110$	−0.456379	−	5.03719i	−0.0435140	−	0.480278i
$111$	0.553115	−	3.49223i	0.0524994	−	0.331468i
$112$	−2.20846	+	3.03969i	−0.208680	+	0.287223i
$113$	1.55719	+	9.83170i	0.146488	+	0.924889i	0.945983	+	0.324216i	$0.105101\pi$
$113$	1.55719	+	9.83170i	0.146488	+	0.924889i	−0.799495	+	0.600673i	$0.794899\pi$
$114$	−2.12554	+	1.54430i	−0.199075	+	0.144636i
$115$	−5.06842	+	8.49460i	−0.472633	+	0.792125i
$116$	1.17506	−	1.61733i	0.109102	−	0.150166i
$117$	8.95567	−	3.84193i	0.827952	−	0.355187i
$118$	−5.14936	−	5.14936i	−0.474037	−	0.474037i
$119$	−15.0891	−	7.68829i	−1.38322	−	0.704784i
$120$	0.479796	+	1.12069i	0.0437992	+	0.102305i
$121$	5.59571	+	1.81816i	0.508701	+	0.165287i
$122$	2.27015	−	6.98681i	0.205530	−	0.632556i
$123$	−1.23525	−	1.70018i	−0.111379	−	0.153300i
$124$	4.53060	+	4.53060i	0.406860	+	0.406860i
$125$	−4.64190	−	10.1712i	−0.415184	−	0.909737i
$126$	10.1550			0.904680
$127$	15.9052	+	2.51913i	1.41136	+	0.223537i	0.815129	−	0.579279i	$-0.196666\pi$
$127$	15.9052	+	2.51913i	1.41136	+	0.223537i	0.596227	+	0.802816i	$0.296666\pi$
$128$	−0.309017	+	0.951057i	−0.0273135	+	0.0840623i
$129$	−0.186810	+	0.574942i	−0.0164477	+	0.0506208i
$130$	7.72608	+	2.30383i	0.677622	+	0.202059i
$131$	−5.03050	−	15.4823i	−0.439517	−	1.35269i	−0.888386	−	0.459097i	$-0.848173\pi$
$131$	−5.03050	−	15.4823i	−0.439517	−	1.35269i	0.448869	−	0.893598i	$-0.351827\pi$
$132$	1.23318			0.107334
$133$	−8.22021	+	16.1331i	−0.712782	+	1.39891i
$134$	−12.2142	−	8.87416i	−1.05515	−	0.766610i
$135$	3.56219	−	5.97017i	0.306584	−	0.513830i
$136$	−4.45176	−	0.705089i	−0.381735	−	0.0604609i
$137$	10.2178	−	14.0636i	0.872967	−	1.20154i	−0.105353	−	0.994435i	$-0.533597\pi$
$137$	10.2178	−	14.0636i	0.872967	−	1.20154i	0.978320	−	0.207101i	$-0.0664028\pi$
$138$	−1.95116	−	1.41760i	−0.166094	−	0.120674i
$139$	−5.63229	−	7.75219i	−0.477725	−	0.657532i	0.500341	−	0.865829i	$-0.333208\pi$
$139$	−5.63229	−	7.75219i	−0.477725	−	0.657532i	−0.978066	+	0.208297i	$0.933208\pi$
$140$	6.45256	+	5.38047i	0.545341	+	0.454733i
$141$	1.38379	−	0.219172i	0.116537	−	0.0184576i
$142$	3.71557	−	7.29221i	0.311803	−	0.611949i
$143$	5.21833	−	6.26747i	0.436379	−	0.524112i
$144$	2.57049	−	0.835202i	0.214207	−	0.0696001i
$145$	−3.43323	−	2.86280i	−0.285114	−	0.237742i
$146$	−4.65241	+	14.3187i	−0.385036	+	1.18502i
$147$	−3.45720	+	1.76153i	−0.285145	+	0.145289i
$148$	−3.81202	−	5.24679i	−0.313346	−	0.431284i
$149$	1.19949	−	1.19949i	0.0982664	−	0.0982664i	−0.656264	−	0.754531i	$-0.727864\pi$
$149$	1.19949	−	1.19949i	0.0982664	−	0.0982664i	0.754531	+	0.656264i	$0.227864\pi$
$150$	2.57190	−	0.903385i	0.209995	−	0.0737611i
$151$	−5.49807	+	5.49807i	−0.447426	+	0.447426i	−0.894498	−	0.447072i	$-0.852467\pi$
$151$	−5.49807	+	5.49807i	−0.447426	+	0.447426i	0.447072	+	0.894498i	$0.352467\pi$
$152$	−0.753871	+	4.75976i	−0.0611470	+	0.386067i
$153$	5.53054	+	10.8543i	0.447118	+	0.877518i
$154$	7.57236	−	3.85831i	0.610198	−	0.310911i
$155$	10.7836	−	9.43271i	0.866163	−	0.757654i
$156$	−0.729393	+	1.82537i	−0.0583982	+	0.146147i
$157$	1.07674	−	1.07674i	0.0859333	−	0.0859333i	−0.662834	−	0.748767i	$-0.730646\pi$
$157$	1.07674	−	1.07674i	0.0859333	−	0.0859333i	0.748767	+	0.662834i	$0.230646\pi$
$158$	14.9524	−	4.85833i	1.18955	−	0.386508i
$159$	2.43921	−	3.35728i	0.193442	−	0.266249i
$160$	2.07582	+	0.831238i	0.164108	+	0.0657152i
$161$	−16.4165	−	2.60012i	−1.29380	−	0.204918i
$162$	−5.18844	−	3.76962i	−0.407643	−	0.296170i
$163$	10.9621	+	7.96446i	0.858621	+	0.623825i	0.927510	−	0.373800i	$-0.121945\pi$
$163$	10.9621	+	7.96446i	0.858621	+	0.623825i	−0.0688883	+	0.997624i	$0.521945\pi$
$164$	−3.80723	−	0.603006i	−0.297295	−	0.0470869i
$165$	0.183854	−	2.75133i	0.0143130	−	0.214191i
$166$	−3.50447	+	4.82350i	−0.272000	+	0.374376i
$167$	0.00133038		0.000432266i	0.000102948		3.34498e-5i	−0.308966	−	0.951073i	$-0.599983\pi$
$167$	0.00133038		0.000432266i	0.000102948		3.34498e-5i	0.309068	+	0.951040i	$0.399983\pi$
$168$	−1.44845	+	1.44845i	−0.111750	+	0.111750i
$169$	6.19072	+	11.4313i	0.476209	+	0.879332i
$170$	−2.23683	+	9.82716i	−0.171557	+	0.753709i
$171$	11.6053	−	5.91317i	0.887476	−	0.452191i
$172$	0.503405	+	0.987988i	0.0383843	+	0.0753334i
$173$	−1.53754	+	9.70764i	−0.116897	+	0.738058i	0.857710	+	0.514134i	$0.171887\pi$
$173$	−1.53754	+	9.70764i	−0.116897	+	0.738058i	−0.974607	+	0.223924i	$0.928113\pi$
$174$	0.770679	−	0.770679i	0.0584250	−	0.0584250i
$175$	12.9663	−	13.5941i	0.980163	−	1.02762i
$176$	1.59943	−	1.59943i	0.120561	−	0.120561i
$177$	−2.33364	−	3.21198i	−0.175407	−	0.241427i
$178$	12.8826	−	6.56400i	0.965590	−	0.491993i
$179$	−7.22220	+	22.2277i	−0.539813	+	1.66137i	0.193201	+	0.981159i	$0.438113\pi$
$179$	−7.22220	+	22.2277i	−0.539813	+	1.66137i	−0.733014	+	0.680214i	$0.761887\pi$
$180$	−1.48018	−	5.85951i	−0.110326	−	0.436742i
$181$	−22.0317	+	7.15854i	−1.63760	+	0.532090i	−0.976001	−	0.217764i	$-0.930124\pi$
$181$	−22.0317	+	7.15854i	−1.63760	+	0.532090i	−0.661603	+	0.749854i	$0.730124\pi$
$182$	1.23229	+	13.4908i	0.0913432	+	1.00001i
$183$	1.81830	−	3.56862i	0.134413	−	0.263800i
$184$	−4.36927	+	0.692024i	−0.322107	+	0.0510167i
$185$	−12.2744	+	7.72272i	−0.902433	+	0.567786i
$186$	2.05322	+	2.82602i	0.150550	+	0.207214i
$187$	8.24799	+	5.99252i	0.603153	+	0.438216i
$188$	1.51051	−	2.07904i	0.110165	−	0.151629i
$189$	11.5378	+	1.82741i	0.839253	+	0.132925i
$190$	10.5071	+	2.39159i	0.762262	+	0.173504i
$191$	−17.1831	−	12.4842i	−1.24332	−	0.903328i	−0.245509	−	0.969394i	$-0.578955\pi$
$191$	−17.1831	−	12.4842i	−1.24332	−	0.903328i	−0.997815	+	0.0660660i	$0.978955\pi$
$192$	−0.247511	+	0.485767i	−0.0178625	+	0.0350572i
$193$	−26.1117			−1.87956			−0.939782	−	0.341776i	$-0.888972\pi$
$193$	−26.1117			−1.87956			−0.939782	+	0.341776i	$0.888972\pi$
$194$	3.78071	+	11.6358i	0.271439	+	0.835403i
$195$	3.96383	+	1.89949i	0.283856	+	0.136025i
$196$	−2.19927	+	6.76867i	−0.157091	+	0.483476i
$197$	2.14577	−	6.60400i	0.152880	−	0.470515i	−0.845060	−	0.534671i	$-0.820435\pi$
$197$	2.14577	−	6.60400i	0.152880	−	0.470515i	0.997940	+	0.0641558i	$0.0204355\pi$
$198$	−6.03820	−	0.956358i	−0.429117	−	0.0679654i
$199$	−0.0965950			−0.00684744			−0.00342372	−	0.999994i	$-0.501090\pi$
$199$	−0.0965950			−0.00684744			−0.00342372	+	0.999994i	$0.501090\pi$
$200$	2.16405	−	4.50742i	0.153022	−	0.318723i
$201$	−5.82023	−	5.82023i	−0.410527	−	0.410527i
$202$	3.78914	+	5.21531i	0.266603	+	0.366948i
$203$	2.32111	−	7.14363i	0.162910	−	0.501385i
$204$	−2.33703	−	0.759348i	−0.163625	−	0.0531650i
$205$	−1.91298	+	8.40438i	−0.133608	+	0.586987i
$206$	−0.103832	−	0.0529050i	−0.00723431	−	0.00368607i
$207$	8.45440	+	8.45440i	0.587622	+	0.587622i
$208$	1.42148	+	3.31352i	0.0985619	+	0.229751i
$209$	6.40711	−	8.81863i	0.443189	−	0.609998i
$210$	3.01567	+	3.44757i	0.208101	+	0.237905i
$211$	12.0817	−	8.77783i	0.831735	−	0.604291i	−0.0883145	−	0.996093i	$-0.528148\pi$
$211$	12.0817	−	8.77783i	0.831735	−	0.604291i	0.920050	+	0.391802i	$0.128148\pi$
$212$	−1.19074	−	7.51801i	−0.0817800	−	0.516339i
$213$	2.62267	−	3.60980i	0.179702	−	0.247339i
$214$	1.35694	−	8.56741i	0.0927588	−	0.585656i
$215$	2.27934	−	0.975844i	0.155450	−	0.0665520i
$216$	3.07081	−	0.486368i	0.208942	−	0.0330932i
$217$	21.4498	+	10.9292i	1.45610	+	0.741922i
$218$	−2.30446	+	2.30446i	−0.156078	+	0.156078i
$219$	−3.72640	+	7.31347i	−0.251807	+	0.494199i
$220$	−3.33001	−	3.80692i	−0.224509	−	0.256663i
$221$	−13.7487	+	8.66441i	−0.924838	+	0.582831i
$222$	−1.60520	−	3.15039i	−0.107734	−	0.211440i
$223$	−0.751644	−	1.03455i	−0.0503338	−	0.0692785i	0.783108	−	0.621886i	$-0.213633\pi$
$223$	−0.751644	−	1.03455i	−0.0503338	−	0.0692785i	−0.833442	+	0.552607i	$0.813633\pi$
$224$			3.75726i			0.251042i
$225$	−13.2938	+	2.42882i	−0.886253	+	0.161921i
$226$	7.03872	+	7.03872i	0.468209	+	0.468209i
$227$	4.93752	−	3.58732i	0.327715	−	0.238099i	−0.411746	−	0.911299i	$-0.635081\pi$
$227$	4.93752	−	3.58732i	0.327715	−	0.238099i	0.739460	+	0.673200i	$0.235081\pi$
$228$	−0.811884	+	2.49872i	−0.0537683	+	0.165482i
$229$	−1.68437	+	0.858232i	−0.111307	+	0.0567135i	−0.508757	−	0.860910i	$-0.669895\pi$
$229$	−1.68437	+	0.858232i	−0.111307	+	0.0567135i	0.397451	+	0.917624i	$0.369895\pi$
$230$	0.892556	+	9.85142i	0.0588534	+	0.649583i
$231$	4.40660	−	1.43179i	0.289933	−	0.0942049i
$232$		−	1.99913i		−	0.131249i
$233$	−3.02020	−	1.53887i	−0.197860	−	0.100815i	0.352254	−	0.935905i	$-0.385415\pi$
$233$	−3.02020	−	1.53887i	−0.197860	−	0.100815i	−0.550113	+	0.835090i	$0.685415\pi$
$234$	4.98706	−	8.37220i	0.326014	−	0.547308i
$235$	−4.41332	−	3.68005i	−0.287894	−	0.240060i
$236$	−7.19264	−	1.13920i	−0.468201	−	0.0741558i
$237$	8.46586	−	1.34086i	0.549917	−	0.0870982i
$238$	−16.7264	+	2.64920i	−1.08421	+	0.171722i
$239$	2.52271	−	15.9278i	0.163181	−	1.03028i	−0.761118	−	0.648613i	$-0.775349\pi$
$239$	2.52271	−	15.9278i	0.163181	−	1.03028i	0.924299	−	0.381669i	$-0.124651\pi$
$240$	1.04689	+	0.624642i	0.0675764	+	0.0403204i
$241$	15.1731	−	2.40318i	0.977382	−	0.154802i	0.352747	−	0.935719i	$-0.385248\pi$
$241$	15.1731	−	2.40318i	0.977382	−	0.154802i	0.624635	+	0.780917i	$0.285248\pi$
$242$	5.59571	−	1.81816i	0.359706	−	0.116876i
$243$	−9.06773	−	9.06773i	−0.581695	−	0.581695i
$244$	−2.27015	−	6.98681i	−0.145332	−	0.447285i
$245$	14.7736	+	5.91592i	0.943853	+	0.377954i
$246$	−1.99868	−	0.649409i	−0.127431	−	0.0414048i
$247$	9.26386	+	14.6999i	0.589446	+	0.935333i
$248$	6.32835	+	1.00231i	0.401850	+	0.0636469i
$249$	−2.29846	+	2.29846i	−0.145659	+	0.145659i
$250$	−9.73384	−	5.50021i	−0.615622	−	0.347864i
$251$			3.68777i			0.232770i	0.993204	+	0.116385i	$0.0371306\pi$
$251$			3.68777i			0.232770i	−0.993204	+	0.116385i	$0.962869\pi$
$252$	8.21557	−	5.96896i	0.517532	−	0.376009i
$253$	9.51643	+	3.09208i	0.598293	+	0.194397i
$254$	14.3483	−	7.31081i	0.900290	−	0.458721i
$255$	−2.04260	+	5.10093i	−0.127913	+	0.319432i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	−1.70416	−	1.70416i	−0.106302	−	0.106302i	0.651955	−	0.758258i	$-0.273949\pi$
$257$	−1.70416	−	1.70416i	−0.106302	−	0.106302i	−0.758258	+	0.651955i	$0.773949\pi$
$258$	0.186810	+	0.574942i	0.0116303	+	0.0357943i
$259$	−19.7136	−	14.3227i	−1.22494	−	0.889972i
$260$	7.60469	−	2.67744i	0.471623	−	0.166048i
$261$	−4.37128	+	3.17592i	−0.270575	+	0.196584i
$262$	−13.1700	−	9.56858i	−0.813647	−	0.591149i
$263$	−1.74696	−	11.0299i	−0.107722	−	0.680133i	−0.981160	−	0.193197i	$-0.938114\pi$
$263$	−1.74696	−	11.0299i	−0.107722	−	0.680133i	0.873438	−	0.486936i	$-0.161886\pi$
$264$	0.997662	−	0.724844i	0.0614019	−	0.0446111i
$265$	−16.9509	+	1.53578i	−1.04129	+	0.0943423i
$266$	2.83249	+	17.8836i	0.173671	+	1.09652i
$267$	7.49679	−	2.43585i	0.458796	−	0.149072i
$268$	−15.0976			−0.922234
$269$	−3.18734	+	1.03563i	−0.194336	+	0.0631435i	−0.404568	−	0.914508i	$-0.632578\pi$
$269$	−3.18734	+	1.03563i	−0.194336	+	0.0631435i	0.210232	+	0.977652i	$0.432578\pi$
$270$	−0.627306	−	6.92377i	−0.0381766	−	0.421367i
$271$	−2.65601	−	5.21271i	−0.161341	−	0.316650i	0.796157	−	0.605091i	$-0.206863\pi$
$271$	−2.65601	−	5.21271i	−0.161341	−	0.316650i	−0.957498	+	0.288441i	$0.906863\pi$
$272$	−4.01599	+	2.04625i	−0.243505	+	0.124072i
$273$	−0.487025	+	7.36959i	−0.0294761	+	0.446028i
$274$		−	17.3836i		−	1.05018i
$275$	−8.99007	+	6.86198i	−0.542121	+	0.413793i
$276$	−2.41177			−0.145171
$277$	−20.3773	−	3.22745i	−1.22435	−	0.193919i	−0.489414	−	0.872051i	$-0.662789\pi$
$277$	−20.3773	−	3.22745i	−1.22435	−	0.193919i	−0.734940	+	0.678133i	$0.762789\pi$
$278$	−9.11324	−	2.96107i	−0.546576	−	0.177593i
$279$	−7.86187	−	15.4298i	−0.470678	−	0.923758i
$280$	8.38279	+	0.560169i	0.500968	+	0.0334765i
$281$	−8.84388	−	4.50618i	−0.527582	−	0.268816i	0.169847	−	0.985470i	$-0.445673\pi$
$281$	−8.84388	−	4.50618i	−0.527582	−	0.268816i	−0.697429	+	0.716654i	$0.745673\pi$
$282$	0.990688	−	0.990688i	0.0589946	−	0.0589946i
$283$	−14.4915	−	7.38378i	−0.861430	−	0.438920i	−0.0332925	−	0.999446i	$-0.510599\pi$
$283$	−14.4915	−	7.38378i	−0.861430	−	0.438920i	−0.828137	+	0.560525i	$0.810599\pi$
$284$	−1.28030	−	8.08348i	−0.0759717	−	0.479666i
$285$	5.45384	+	2.18392i	0.323057	+	0.129364i
$286$	0.537790	−	8.13775i	0.0318002	−	0.481195i
$287$	−14.3048	+	2.26565i	−0.844383	+	0.133737i
$288$	1.58865	−	2.18659i	0.0936120	−	0.128846i
$289$	−1.94869	−	2.68214i	−0.114629	−	0.157773i
$290$	−4.46025	−	0.298050i	−0.261915	−	0.0175021i
$291$	1.04345	+	6.58806i	0.0611679	+	0.386199i
$292$	4.65241	+	14.3187i	0.272262	+	0.837936i
$293$	26.0253			1.52041			0.760207	−	0.649681i	$-0.225098\pi$
$293$	26.0253			1.52041			0.760207	+	0.649681i	$0.225098\pi$
$294$	−1.76153	+	3.45720i	−0.102735	+	0.201628i
$295$	−3.61402	+	15.8776i	−0.210416	+	0.924430i
$296$	−6.16798	−	2.00410i	−0.358506	−	0.116486i
$297$	−6.68833	−	2.17317i	−0.388097	−	0.126100i
$298$	0.265366	−	1.67546i	0.0153723	−	0.0970566i
$299$	−10.2057	+	12.2575i	−0.590209	+	0.708870i
$300$	1.54971	−	2.24258i	0.0894728	−	0.129475i
$301$	2.94596	+	2.94596i	0.169802	+	0.169802i
$302$	−1.21635	+	7.67971i	−0.0699929	+	0.441918i
$303$	1.59557	+	3.13148i	0.0916631	+	0.179899i
$304$	2.18782	+	4.29384i	0.125480	+	0.246268i
$305$	−15.9267	+	4.02326i	−0.911959	+	0.230371i
$306$	10.8543	+	5.53054i	0.620499	+	0.316160i
$307$		−	24.3917i		−	1.39211i	−0.717990	−	0.696053i	$-0.754938\pi$
$307$		−	24.3917i		−	1.39211i	0.717990	−	0.696053i	$-0.245062\pi$
$308$	3.85831	−	7.57236i	0.219848	−	0.431475i
$309$	−0.0513990	−	0.0373435i	−0.00292399	−	0.00212440i
$310$	3.17974	−	13.9697i	0.180597	−	0.793425i
$311$	−9.64333	−	13.2729i	−0.546823	−	0.752638i	0.442754	−	0.896643i	$-0.354002\pi$
$311$	−9.64333	−	13.2729i	−0.546823	−	0.752638i	−0.989577	+	0.144006i	$0.954002\pi$
$312$	0.482836	+	1.90548i	0.0273352	+	0.107877i
$313$	3.39918	+	21.4616i	0.192133	+	1.21308i	0.875578	+	0.483077i	$0.160481\pi$
$313$	3.39918	+	21.4616i	0.192133	+	1.21308i	−0.683445	+	0.730002i	$0.739519\pi$
$314$	0.238209	−	1.50399i	0.0134429	−	0.0848753i
$315$	−12.0924	−	19.2196i	−0.681332	−	1.08290i
$316$	9.24108	−	12.7193i	0.519852	−	0.715514i
$317$	0.946354	+	2.91258i	0.0531525	+	0.163587i	0.974109	−	0.226079i	$-0.0725907\pi$
$317$	0.946354	+	2.91258i	0.0531525	+	0.163587i	−0.920957	+	0.389665i	$0.872591\pi$
$318$		−	4.14982i		−	0.232711i
$319$	−2.05290	+	4.02904i	−0.114940	+	0.225583i
$320$	2.16797	−	0.547653i	0.121193	−	0.0306147i
$321$	1.46137	−	4.49762i	0.0815655	−	0.251033i
$322$	−14.8095	+	7.54583i	−0.825302	+	0.420513i
$323$	−17.5725	+	12.7672i	−0.977761	+	0.710385i
$324$	−6.41327			−0.356293
$325$	−4.83984	−	17.3659i	−0.268466	−	0.963289i
$326$	13.5500			0.750462
$327$	−1.43744	+	1.04436i	−0.0794904	+	0.0577532i
$328$	−3.43455	+	1.74999i	−0.189641	+	0.0966271i
$329$	2.98372	−	9.18295i	0.164498	−	0.506273i
$330$	−1.46845	−	2.33394i	−0.0808356	−	0.128479i
$331$	−11.9669	+	23.4863i	−0.657759	+	1.29093i	0.285344	+	0.958425i	$0.407892\pi$
$331$	−11.9669	+	23.4863i	−0.657759	+	1.29093i	−0.943103	+	0.332500i	$0.892108\pi$
$332$			5.96217i			0.327217i
$333$	5.41661	+	16.6706i	0.296829	+	0.913544i
$334$	0.000822220	−	0.00113169i	4.49899e−5	−	6.19232e-5i
$335$	−2.25090	+	33.6842i	−0.122980	+	1.84036i
$336$	−0.320443	+	2.02320i	−0.0174816	+	0.110374i
$337$	4.59361	+	29.0029i	0.250230	+	1.57989i	0.718003	+	0.696040i	$0.245056\pi$
$337$	4.59361	+	29.0029i	0.250230	+	1.57989i	−0.467774	+	0.883848i	$0.654944\pi$
$338$	11.7276	+	5.60931i	0.637895	+	0.305106i
$339$	3.18988	+	4.39049i	0.173251	+	0.238459i
$340$	3.96663	+	9.26512i	0.215121	+	0.502472i
$341$	−11.7248	−	8.51859i	−0.634936	−	0.461308i
$342$	5.91317	−	11.6053i	0.319748	−	0.627540i
$343$			0.439594i			0.0237358i
$344$	0.987988	+	0.503405i	0.0532687	+	0.0271418i
$345$	−0.359570	+	5.38088i	−0.0193586	+	0.289697i
$346$	4.46211	+	8.75738i	0.239885	+	0.470800i
$347$	1.71378	+	3.36349i	0.0920008	+	0.180562i	0.932421	−	0.361373i	$-0.117692\pi$
$347$	1.71378	+	3.36349i	0.0920008	+	0.180562i	−0.840420	+	0.541935i	$0.817692\pi$
$348$	0.170499	−	1.07649i	0.00913969	−	0.0577057i
$349$	7.53751	+	7.53751i	0.403473	+	0.403473i	0.879455	−	0.475982i	$-0.157907\pi$
$349$	7.53751	+	7.53751i	0.403473	+	0.403473i	−0.475982	+	0.879455i	$0.657907\pi$
$350$	2.49958	−	18.6193i	0.133608	−	0.995242i
$351$	7.17274	−	8.61482i	0.382853	−	0.459825i
$352$	0.353844	−	2.23408i	0.0188599	−	0.119077i
$353$	1.18695	+	0.385662i	0.0631748	+	0.0205267i	0.340434	−	0.940268i	$-0.389426\pi$
$353$	1.18695	+	0.385662i	0.0631748	+	0.0205267i	−0.277259	+	0.960795i	$0.589426\pi$
$354$	−3.77591	−	1.22687i	−0.200687	−	0.0652073i
$355$	−18.2259	+	1.65130i	−0.967328	+	0.0876417i
$356$	6.56400	−	12.8826i	0.347891	−	0.682775i
$357$	−9.23272			−0.488648
$358$	7.22220	+	22.2277i	0.381705	+	1.17477i
$359$	−0.774431	−	4.88957i	−0.0408729	−	0.258061i	0.958787	−	0.284125i	$-0.0917029\pi$
$359$	−0.774431	−	4.88957i	−0.0408729	−	0.258061i	−0.999660	+	0.0260631i	$0.991703\pi$
$360$	−4.64162	−	3.87042i	−0.244635	−	0.203989i
$361$	2.48257	+	3.41696i	0.130661	+	0.179840i
$362$	−13.6164	+	18.7413i	−0.715660	+	0.985021i
$363$	3.16822	−	0.501797i	0.166289	−	0.0263375i
$364$	8.92665	+	10.1900i	0.467884	+	0.534101i
$365$	32.6399	−	8.24520i	1.70845	−	0.431573i
$366$	−0.626545	−	3.95585i	−0.0327500	−	0.206775i
$367$	0.0519574	+	0.0264736i	0.00271215	+	0.00138191i	0.455346	−	0.890315i	$-0.349516\pi$
$367$	0.0519574	+	0.0264736i	0.00271215	+	0.00138191i	−0.452634	+	0.891696i	$0.649516\pi$
$368$	−3.12805	+	3.12805i	−0.163061	+	0.163061i
$369$	9.28280	+	4.72982i	0.483243	+	0.246225i
$370$	−5.39091	+	13.4625i	−0.280260	+	0.699884i
$371$	−12.9838	−	25.4821i	−0.674084	−	1.32296i
$372$	3.32218	+	1.07944i	0.172247	+	0.0559665i
$373$	27.7555	+	4.39604i	1.43713	+	0.227619i	0.825891	−	0.563830i	$-0.190673\pi$
$373$	27.7555	+	4.39604i	1.43713	+	0.227619i	0.611236	+	0.791448i	$0.290673\pi$
$374$	10.1951			0.527175
$375$	−4.77235	−	3.79190i	−0.246443	−	0.195813i
$376$		−	2.56983i		−	0.132529i
$377$	−4.74962	−	5.42181i	−0.244618	−	0.279237i
$378$	10.4084	−	5.30335i	0.535351	−	0.272775i
$379$	−7.17157	−	14.0750i	−0.368379	−	0.722984i	0.630191	−	0.776440i	$-0.282976\pi$
$379$	−7.17157	−	14.0750i	−0.368379	−	0.722984i	−0.998570	+	0.0534555i	$0.982976\pi$
$380$	9.90613	−	4.24106i	0.508174	−	0.217562i
$381$	8.34972	−	2.71299i	0.427769	−	0.138991i
$382$	−21.2395			−1.08671
$383$	−1.69831	+	0.551816i	−0.0867798	+	0.0281965i	−0.352085	−	0.935968i	$-0.614527\pi$
$383$	−1.69831	+	0.551816i	−0.0867798	+	0.0281965i	0.265305	+	0.964164i	$0.414527\pi$
$384$	0.0852863	+	0.538477i	0.00435225	+	0.0274790i
$385$	−16.3194	−	9.73720i	−0.831713	−	0.496254i
$386$	−21.1248	+	15.3481i	−1.07523	+	0.781197i
$387$	−0.468826	−	2.96005i	−0.0238318	−	0.150468i
$388$	9.89802	+	7.19133i	0.502496	+	0.365085i
$389$	−17.3912	+	12.6355i	−0.881769	+	0.640643i	−0.933719	−	0.358007i	$-0.883456\pi$
$389$	−17.3912	+	12.6355i	−0.881769	+	0.640643i	0.0519496	+	0.998650i	$0.483456\pi$
$390$	4.32330	−	0.793164i	0.218919	−	0.0401634i
$391$	−16.1309	−	11.7198i	−0.815774	−	0.592695i
$392$	2.19927	+	6.76867i	0.111080	+	0.341869i
$393$	−6.27568	−	6.27568i	−0.316566	−	0.316566i
$394$	−2.14577	−	6.60400i	−0.108102	−	0.332705i
$395$	−27.0001	−	22.5140i	−1.35852	−	1.13280i
$396$	−5.44714	+	2.77546i	−0.273729	+	0.139472i
$397$	−26.2693	−	8.53541i	−1.31842	−	0.428380i	−0.436467	−	0.899720i	$-0.643770\pi$
$397$	−26.2693	−	8.53541i	−1.31842	−	0.428380i	−0.881951	+	0.471340i	$0.843770\pi$
$398$	−0.0781470	+	0.0567771i	−0.00391716	+	0.00284598i
$399$			9.87149i			0.494193i
$400$	−0.898642	−	4.91858i	−0.0449321	−	0.245929i
$401$	9.35223	−	9.35223i	0.467028	−	0.467028i	−0.433922	−	0.900950i	$-0.642871\pi$
$401$	9.35223	−	9.35223i	0.467028	−	0.467028i	0.900950	+	0.433922i	$0.142871\pi$
$402$	−8.12971	−	1.28762i	−0.405473	−	0.0642206i
$403$	19.5443	−	12.3168i	0.973572	−	0.613543i
$404$	6.13096	+	1.99207i	0.305027	+	0.0991092i
$405$	−0.956153	+	14.3086i	−0.0475116	+	0.711000i
$406$	−2.32111	−	7.14363i	−0.115195	−	0.354533i
$407$	10.3729	+	10.3729i	0.514166	+	0.514166i
$408$	−2.33703	+	0.759348i	−0.115700	+	0.0375933i
$409$	24.9172	−	3.94650i	1.23208	−	0.195142i	0.493761	−	0.869598i	$-0.335622\pi$
$409$	24.9172	−	3.94650i	1.23208	−	0.195142i	0.738315	+	0.674456i	$0.235622\pi$
$410$	3.39234	+	7.92371i	0.167536	+	0.391324i
$411$	1.48258	−	9.36065i	0.0731304	−	0.461727i
$412$	−0.115099	+	0.0182298i	−0.00567050	+	0.000898119i
$413$	−27.0246	+	4.28028i	−1.32980	+	0.210619i
$414$	11.8091	+	1.87038i	0.580387	+	0.0919243i
$415$	13.3021	+	0.888899i	0.652977	+	0.0436343i
$416$	3.09764	+	1.84517i	0.151874	+	0.0904667i
$417$	−4.65473	−	2.37170i	−0.227943	−	0.116143i
$418$		−	10.9004i		−	0.533158i
$419$	−13.7023	+	4.45215i	−0.669402	+	0.217502i	−0.623949	−	0.781465i	$-0.714473\pi$
$419$	−13.7023	+	4.45215i	−0.669402	+	0.217502i	−0.0454523	+	0.998967i	$0.514473\pi$
$420$	4.46616	+	1.01658i	0.217926	+	0.0496038i
$421$	−21.1833	+	10.7934i	−1.03241	+	0.526040i	−0.886243	−	0.463220i	$-0.846694\pi$
$421$	−21.1833	+	10.7934i	−1.03241	+	0.526040i	−0.146168	+	0.989260i	$0.546694\pi$
$422$	4.61478	−	14.2028i	0.224644	−	0.691383i
$423$	−5.61916	+	4.08256i	−0.273213	+	0.198501i
$424$	−5.38230	−	5.38230i	−0.261388	−	0.261388i
$425$	21.2627	−	7.46858i	1.03139	−	0.362279i
$426$		−	4.46196i		−	0.216182i
$427$	−16.2242	−	22.3307i	−0.785143	−	1.08066i
$428$	−3.93801	−	7.72878i	−0.190351	−	0.373584i
$429$	0.983626	−	4.33612i	0.0474899	−	0.209350i
$430$	1.27044	−	2.12924i	0.0612661	−	0.102681i
$431$	7.82057	−	15.3487i	0.376704	−	0.739323i	−0.622354	−	0.782736i	$-0.713823\pi$
$431$	7.82057	−	15.3487i	0.376704	−	0.739323i	0.999057	+	0.0434137i	$0.0138234\pi$
$432$	2.19846	−	2.19846i	0.105773	−	0.105773i
$433$	2.10623	+	1.07318i	0.101219	+	0.0515736i	0.503867	−	0.863781i	$-0.331910\pi$
$433$	2.10623	+	1.07318i	0.101219	+	0.0515736i	−0.402648	+	0.915355i	$0.631910\pi$
$434$	23.7772	−	3.76594i	1.14134	−	0.180771i
$435$	−2.37632	−	0.540891i	−0.113936	−	0.0259338i
$436$	−0.509820	+	3.21888i	−0.0244159	+	0.154156i
$437$	−12.5306	+	17.2469i	−0.599421	+	0.825032i
$438$	1.28403	+	8.10705i	0.0613533	+	0.387370i
$439$	−0.181551	+	0.131904i	−0.00866494	+	0.00629544i	−0.592109	−	0.805858i	$-0.701705\pi$
$439$	−0.181551	+	0.131904i	−0.00866494	+	0.00629544i	0.583444	+	0.812153i	$0.301705\pi$
$440$	−4.93169	−	1.12254i	−0.235109	−	0.0535148i
$441$	11.3064	−	15.5619i	0.538400	−	0.741044i
$442$	−6.03012	+	15.0909i	−0.286824	+	0.717803i
$443$	14.0397	+	14.0397i	0.667044	+	0.667044i	0.957031	−	0.289987i	$-0.0936509\pi$
$443$	14.0397	+	14.0397i	0.667044	+	0.667044i	−0.289987	+	0.957031i	$0.593651\pi$
$444$	−3.15039	−	1.60520i	−0.149511	−	0.0761796i
$445$	−27.7636	−	16.5656i	−1.31612	−	0.785283i
$446$	−1.21619	−	0.395163i	−0.0575881	−	0.0187115i
$447$	0.285787	−	0.879562i	0.0135173	−	0.0416019i
$448$	2.20846	+	3.03969i	0.104340	+	0.143612i
$449$	16.3626	+	16.3626i	0.772201	+	0.772201i	0.978491	−	0.206290i	$-0.0661391\pi$
$449$	16.3626	+	16.3626i	0.772201	+	0.772201i	−0.206290	+	0.978491i	$0.566139\pi$
$450$	−9.32728	+	9.77885i	−0.439692	+	0.460979i
$451$	8.71903			0.410563
$452$	9.83170	+	1.55719i	0.462444	+	0.0732440i
$453$	−1.30995	+	4.03161i	−0.0615468	+	0.189421i
$454$	1.88596	−	5.80440i	0.0885127	−	0.272414i
$455$	24.0657	−	18.3970i	1.12822	−	0.862463i
$456$	0.811884	+	2.49872i	0.0380200	+	0.117013i
$457$	−23.7946			−1.11306			−0.556532	−	0.830826i	$-0.687868\pi$
$457$	−23.7946			−1.11306			−0.556532	+	0.830826i	$0.687868\pi$
$458$	−0.858232	+	1.68437i	−0.0401025	+	0.0787056i
$459$	11.3371	+	8.23689i	0.529171	+	0.384465i
$460$	6.51261	+	7.44533i	0.303652	+	0.347140i
$461$	29.9668	+	4.74627i	1.39569	+	0.221056i	0.808550	−	0.588427i	$-0.200253\pi$
$461$	29.9668	+	4.74627i	1.39569	+	0.221056i	0.587143	+	0.809483i	$0.300253\pi$
$462$	2.72343	−	3.74848i	0.126705	−	0.174395i
$463$	22.1252	+	16.0749i	1.02824	+	0.747063i	0.967956	−	0.251118i	$-0.0807983\pi$
$463$	22.1252	+	16.0749i	1.02824	+	0.747063i	0.0602873	+	0.998181i	$0.480798\pi$
$464$	−1.17506	−	1.61733i	−0.0545508	−	0.0750828i
$465$	2.90364	−	7.25116i	0.134653	−	0.336265i
$466$	−3.34791	+	0.530257i	−0.155089	+	0.0245637i
$467$	11.5416	−	22.6516i	0.534081	−	1.04819i	−0.453526	−	0.891243i	$-0.649834\pi$
$467$	11.5416	−	22.6516i	0.534081	−	1.04819i	0.987607	−	0.156949i	$-0.0501659\pi$
$468$	−0.886441	−	9.70457i	−0.0409757	−	0.448594i
$469$	−53.9493	+	17.5292i	−2.49115	+	0.809423i
$470$	−5.73353	−	0.383136i	−0.264468	−	0.0176727i
$471$	0.256540	−	0.789550i	0.0118208	−	0.0363805i
$472$	−6.48858	+	3.30610i	−0.298661	+	0.152175i
$473$	−1.47424	−	2.02912i	−0.0677856	−	0.0932989i
$474$	6.06089	−	6.06089i	0.278386	−	0.278386i
$475$	−7.98529	−	22.7338i	−0.366390	−	1.04310i
$476$	−11.9748	+	11.9748i	−0.548864	+	0.548864i
$477$	−3.21828	+	20.3194i	−0.147355	+	0.930363i
$478$	−7.32120	−	14.3687i	−0.334864	−	0.657207i
$479$	9.38298	−	4.78087i	0.428719	−	0.218443i	−0.226297	−	0.974058i	$-0.572662\pi$
$479$	9.38298	−	4.78087i	0.428719	−	0.218443i	0.655016	+	0.755615i	$0.272662\pi$
$480$	1.21411	−	0.110000i	0.0554161	−	0.00502080i
$481$	−21.4895	+	9.21886i	−0.979835	+	0.420344i
$482$	10.8627	−	10.8627i	0.494783	−	0.494783i
$483$	−8.61814	+	2.80020i	−0.392139	+	0.127414i
$484$	3.45834	−	4.76000i	0.157197	−	0.216363i
$485$	17.5202	−	21.0112i	0.795552	−	0.954071i
$486$	−12.6658	−	2.00607i	−0.574533	−	0.0909971i
$487$	−30.0941	−	21.8646i	−1.36369	−	0.990781i	−0.998200	−	0.0599661i	$-0.980901\pi$
$487$	−30.0941	−	21.8646i	−1.36369	−	0.990781i	−0.365492	−	0.930814i	$-0.619099\pi$
$488$	−5.94334	−	4.31809i	−0.269042	−	0.195471i
$489$	7.29633	+	1.15563i	0.329952	+	0.0522592i
$490$	15.4294	−	3.89764i	0.697030	−	0.176078i
$491$	−18.2469	+	25.1148i	−0.823473	+	1.13341i	0.165630	+	0.986188i	$0.447034\pi$
$491$	−18.2469	+	25.1148i	−0.823473	+	1.13341i	−0.989103	+	0.147225i	$0.952966\pi$
$492$	−1.99868	+	0.649409i	−0.0901073	+	0.0292776i
$493$	6.37145	−	6.37145i	0.286956	−	0.286956i
$494$	16.1350	+	6.44732i	0.725949	+	0.290079i
$495$	5.38019	+	12.5669i	0.241822	+	0.564839i
$496$	5.70888	−	2.90882i	0.256336	−	0.130610i
$497$	−13.9603	−	27.3987i	−0.626207	−	1.22900i
$498$	−0.508491	+	3.21049i	−0.0227860	+	0.143865i
$499$	−4.35606	+	4.35606i	−0.195004	+	0.195004i	−0.797854	−	0.602850i	$-0.794032\pi$
$499$	−4.35606	+	4.35606i	−0.195004	+	0.195004i	0.602850	+	0.797854i	$0.294032\pi$
$500$	−11.1078	+	1.27164i	−0.496755	+	0.0568696i
$501$	0.000539264	0	0.000539264i	2.40925e−5	0	2.40925e-5i
$502$	2.16761	+	2.98346i	0.0967453	+	0.133159i
$503$	30.6028	−	15.5929i	1.36451	−	0.695253i	0.390257	−	0.920706i	$-0.372386\pi$
$503$	30.6028	−	15.5929i	1.36451	−	0.695253i	0.974254	+	0.225453i	$0.0723862\pi$
$504$	3.13807	−	9.65798i	0.139781	−	0.430201i
$505$	5.35856	−	13.3817i	0.238453	−	0.595480i
$506$	9.51643	−	3.09208i	0.423057	−	0.137460i
$507$	5.83662	+	4.02068i	0.259213	+	0.178565i
$508$	7.31081	−	14.3483i	0.324365	−	0.636601i
$509$	19.9082	−	3.15315i	0.882415	−	0.139761i	0.301248	−	0.953546i	$-0.402597\pi$
$509$	19.9082	−	3.15315i	0.882415	−	0.139761i	0.581166	+	0.813785i	$0.302597\pi$
$510$	1.34575	+	5.32735i	0.0595907	+	0.235899i
$511$	33.2495	+	45.7641i	1.47087	+	2.02448i
$512$	0.809017	+	0.587785i	0.0357538	+	0.0259767i
$513$	8.80676	−	12.1215i	0.388828	−	0.535176i
$514$	−2.38037	−	0.377013i	−0.104994	−	0.0166293i
$515$	0.0235124	+	0.259513i	0.00103608	+	0.0114355i
$516$	0.489075	+	0.355334i	0.0215303	+	0.0156427i
$517$	−2.63895	+	5.17922i	−0.116061	+	0.227782i
$518$	−24.3673			−1.07064
$519$	1.65586	+	5.09620i	0.0726841	+	0.223699i
$520$	4.57856	−	6.63602i	0.200783	−	0.291009i
$521$	8.14293	−	25.0614i	0.356748	−	1.09796i	−0.598241	−	0.801317i	$-0.704133\pi$
$521$	8.14293	−	25.0614i	0.356748	−	1.09796i	0.954989	−	0.296642i	$-0.0958667\pi$
$522$	−1.66968	+	5.13874i	−0.0730799	+	0.224917i
$523$	−24.9863	−	3.95744i	−1.09257	−	0.173047i	−0.415959	−	0.909383i	$-0.636554\pi$
$523$	−24.9863	−	3.95744i	−1.09257	−	0.173047i	−0.676616	+	0.736336i	$0.736554\pi$
$524$	−16.2790			−0.711154
$525$	2.93393	−	9.81286i	0.128047	−	0.428268i
$526$	−7.89653	−	7.89653i	−0.344305	−	0.344305i
$527$	16.9746	+	23.3636i	0.739427	+	1.01773i
$528$	0.381073	−	1.17282i	0.0165841	−	0.0510405i
$529$	3.26268	+	1.06011i	0.141856	+	0.0460917i
$530$	−12.8109	+	11.2060i	−0.556468	+	0.486756i
$531$	17.5371	+	8.93561i	0.761047	+	0.387773i
$532$	12.8033	+	12.8033i	0.555092	+	0.555092i
$533$	−5.15708	+	12.9061i	−0.223378	+	0.559024i
$534$	4.63327	−	6.37715i	0.200501	−	0.275966i
$535$	−17.8307	+	7.63378i	−0.770890	+	0.330037i
$536$	−12.2142	+	8.87416i	−0.527574	+	0.383305i
$537$	1.99327	+	12.5850i	0.0860161	+	0.543084i
$538$	−1.96989	+	2.71132i	−0.0849278	+	0.116893i
$539$	2.51830	−	15.8999i	0.108471	−	0.684859i
$540$	−4.57719	−	5.23272i	−0.196971	−	0.225181i
$541$	12.3660	−	1.95858i	0.531655	−	0.0842059i	0.115165	−	0.993346i	$-0.463260\pi$
$541$	12.3660	−	1.95858i	0.531655	−	0.0842059i	0.416490	+	0.909140i	$0.363260\pi$
$542$	−5.21271	−	2.65601i	−0.223905	−	0.114085i
$543$	−8.93046	+	8.93046i	−0.383243	+	0.383243i
$544$	−2.04625	+	4.01599i	−0.0877322	+	0.172184i
$545$	7.10560	+	1.61736i	0.304370	+	0.0692799i
$546$	3.93773	+	6.24839i	0.168519	+	0.267406i
$547$	2.29740	+	4.50890i	0.0982298	+	0.192787i	0.934892	−	0.354933i	$-0.115496\pi$
$547$	2.29740	+	4.50890i	0.0982298	+	0.192787i	−0.836662	+	0.547719i	$0.815496\pi$
$548$	−10.2178	−	14.0636i	−0.436483	−	0.600768i
$549$			19.8555i			0.847414i
$550$	−3.23975	+	10.8357i	−0.138143	+	0.462035i
$551$	−6.81226	−	6.81226i	−0.290212	−	0.290212i
$552$	−1.95116	+	1.41760i	−0.0830470	+	0.0603372i
$553$	18.2540	−	56.1800i	0.776239	−	2.38902i
$554$	−18.3826	+	9.36642i	−0.781003	+	0.397941i
$555$	−4.05105	+	6.78949i	−0.171957	+	0.288198i
$556$	−9.11324	+	2.96107i	−0.386488	+	0.125577i
$557$			20.1804i			0.855069i	0.903999	+	0.427535i	$0.140618\pi$
$557$			20.1804i			0.855069i	−0.903999	+	0.427535i	$0.859382\pi$
$558$	−15.4298	−	7.86187i	−0.653195	−	0.332820i
$559$	3.87551	−	0.982027i	0.163917	−	0.0415353i
$560$	7.11108	−	4.47410i	0.300498	−	0.189065i
$561$	5.48981	+	0.869501i	0.231780	+	0.0367104i
$562$	−9.80352	+	1.55272i	−0.413536	+	0.0654977i
$563$	19.2688	−	3.05188i	0.812083	−	0.128621i	0.263437	−	0.964677i	$-0.415144\pi$
$563$	19.2688	−	3.05188i	0.812083	−	0.128621i	0.548645	+	0.836055i	$0.315144\pi$
$564$	0.219172	−	1.38379i	0.00922879	−	0.0582683i
$565$	4.94004	−	21.7033i	0.207829	−	0.913064i
$566$	−16.0639	+	2.54428i	−0.675218	+	0.106944i
$567$	−22.9170	+	7.44617i	−0.962422	+	0.312710i
$568$	−5.78713	−	5.78713i	−0.242823	−	0.242823i
$569$	11.6270	+	35.7843i	0.487430	+	1.50016i	0.828430	+	0.560093i	$0.189235\pi$
$569$	11.6270	+	35.7843i	0.487430	+	1.50016i	−0.340999	+	0.940064i	$0.610765\pi$
$570$	5.69592	−	1.43885i	0.238576	−	0.0602670i
$571$	35.6163	+	11.5724i	1.49049	+	0.484291i	0.937229	−	0.348715i	$-0.113382\pi$
$571$	35.6163	+	11.5724i	1.49049	+	0.484291i	0.553265	+	0.833005i	$0.313382\pi$
$572$	−4.34817	−	6.89968i	−0.181806	−	0.288490i
$573$	−11.4370	−	1.81144i	−0.477786	−	0.0756738i
$574$	−10.2411	+	10.2411i	−0.427454	+	0.427454i
$575$	17.5822	−	13.4202i	0.733228	−	0.559662i
$576$		−	2.70277i		−	0.112615i
$577$	−9.08399	+	6.59991i	−0.378172	+	0.274758i	−0.760591	−	0.649231i	$-0.775091\pi$
$577$	−9.08399	+	6.59991i	−0.378172	+	0.274758i	0.382420	+	0.923989i	$0.375091\pi$
$578$	−3.15305	−	1.02449i	−0.131149	−	0.0426130i
$579$	−12.6842	+	6.46293i	−0.527138	+	0.268590i
$580$	−3.78361	+	2.38054i	−0.157106	+	0.0988466i
$581$	6.92242	+	21.3050i	0.287190	+	0.883881i
$582$	4.71653	+	4.71653i	0.195506	+	0.195506i
$583$	5.32040	+	16.3745i	0.220348	+	0.678163i
$584$	12.1802	+	8.84942i	0.504019	+	0.366191i
$585$	−21.7840	+	0.530878i	−0.900656	+	0.0219491i
$586$	21.0549	−	15.2973i	0.869770	−	0.631925i
$587$	2.46101	+	1.78803i	0.101577	+	0.0737999i	0.637414	−	0.770521i	$-0.280004\pi$
$587$	2.46101	+	1.78803i	0.101577	+	0.0737999i	−0.535837	+	0.844321i	$0.680004\pi$
$588$	0.606983	+	3.83234i	0.0250315	+	0.158043i
$589$	24.9800	−	18.1490i	1.02928	−	0.747818i
$590$	6.40882	+	14.9695i	0.263847	+	0.616285i
$591$	−0.592216	−	3.73910i	−0.0243605	−	0.153806i
$592$	−6.16798	+	2.00410i	−0.253502	+	0.0823679i
$593$	8.88133			0.364712			0.182356	−	0.983233i	$-0.441628\pi$
$593$	8.88133			0.364712			0.182356	+	0.983233i	$0.441628\pi$
$594$	−6.68833	+	2.17317i	−0.274426	+	0.0891663i
$595$	24.9315	+	28.5022i	1.02209	+	1.16848i
$596$	−0.770123	−	1.51145i	−0.0315455	−	0.0619115i
$597$	−0.0469227	+	0.0239083i	−0.00192042	+	0.000978501i
$598$	−1.05177	+	15.9153i	−0.0430102	+	0.650824i
$599$			44.6568i			1.82463i	0.409490	+	0.912315i	$0.365707\pi$
$599$			44.6568i			1.82463i	−0.409490	+	0.912315i	$0.634293\pi$
$600$	−0.0644098	−	2.72518i	−0.00262952	−	0.111255i
$601$	−23.3202			−0.951252			−0.475626	−	0.879648i	$-0.657778\pi$
$601$	−23.3202			−0.951252			−0.475626	+	0.879648i	$0.657778\pi$
$602$	4.11492	+	0.651740i	0.167712	+	0.0265629i
$603$	38.8082	+	12.6096i	1.58039	+	0.513501i
$604$	3.52998	+	6.92797i	0.143633	+	0.281895i
$605$	−10.1044	−	8.42554i	−0.410802	−	0.342547i
$606$	3.13148	+	1.59557i	0.127208	+	0.0648156i
$607$	29.3850	−	29.3850i	1.19270	−	1.19270i	0.216395	−	0.976306i	$-0.430570\pi$
$607$	29.3850	−	29.3850i	1.19270	−	1.19270i	0.976306	−	0.216395i	$-0.0694298\pi$
$608$	4.29384	+	2.18782i	0.174138	+	0.0887278i
$609$	−0.640608	−	4.04464i	−0.0259587	−	0.163897i
$610$	−10.5201	+	12.6164i	−0.425948	+	0.510821i
$611$	−6.10551	−	6.96959i	−0.247003	−	0.281960i
$612$	12.0321	−	1.90569i	0.486368	−	0.0770331i
$613$	−10.5970	+	14.5855i	−0.428007	+	0.589101i	−0.967494	−	0.252892i	$-0.918618\pi$
$613$	−10.5970	+	14.5855i	−0.428007	+	0.589101i	0.539487	+	0.841994i	$0.318618\pi$
$614$	−14.3371	−	19.7333i	−0.578597	−	0.796371i
$615$	1.15091	+	4.55605i	0.0464092	+	0.183718i
$616$	−1.32948	−	8.39402i	−0.0535664	−	0.338205i
$617$	14.3912	+	44.2915i	0.579367	+	1.78311i	0.620803	+	0.783967i	$0.286807\pi$
$617$	14.3912	+	44.2915i	0.579367	+	1.78311i	−0.0414357	+	0.999141i	$0.513193\pi$
$618$	−0.0635326			−0.00255566
$619$	−6.07573	+	11.9243i	−0.244204	+	0.479278i	−0.980278	−	0.197624i	$-0.936678\pi$
$619$	−6.07573	+	11.9243i	−0.244204	+	0.479278i	0.736074	+	0.676901i	$0.236678\pi$
$620$	−5.63871	−	13.1707i	−0.226456	−	0.528949i
$621$	13.0806	+	4.25015i	0.524907	+	0.170553i
$622$	−15.6032	−	5.06980i	−0.625633	−	0.203280i
$623$	8.49817	−	53.6554i	0.340472	−	2.14966i
$624$	1.51064	+	1.25777i	0.0604739	+	0.0503509i
$625$	1.18109	+	24.9721i	0.0472437	+	0.998883i
$626$	15.3648	+	15.3648i	0.614100	+	0.614100i
$627$	0.929658	−	5.86963i	0.0371269	−	0.234410i
$628$	−0.691310	−	1.35677i	−0.0275863	−	0.0541411i
$629$	−13.2707	−	26.0453i	−0.529139	−	1.03849i
$630$	−21.0800	−	8.44123i	−0.839847	−	0.336307i
$631$	41.7057	+	21.2501i	1.66028	+	0.845954i	0.995057	+	0.0993072i	$0.0316627\pi$
$631$	41.7057	+	21.2501i	1.66028	+	0.845954i	0.665221	+	0.746647i	$0.268337\pi$
$632$		−	15.7219i		−	0.625382i
$633$	3.69626	−	7.25432i	0.146913	−	0.288333i
$634$	2.47759	+	1.80007i	0.0983975	+	0.0714900i
$635$	−30.9223	−	18.4503i	−1.22712	−	0.732176i
$636$	−2.43921	−	3.35728i	−0.0967208	−	0.133125i
$637$	22.0459	+	13.1320i	0.873490	+	0.520311i
$638$	0.707380	+	4.46622i	0.0280055	+	0.176820i
$639$	−3.46035	+	21.8478i	−0.136889	+	0.864285i
$640$	1.43202	−	1.71736i	0.0566055	−	0.0678846i
$641$	10.4068	−	14.3237i	0.411043	−	0.565752i	−0.552429	−	0.833560i	$-0.686299\pi$
$641$	10.4068	−	14.3237i	0.411043	−	0.565752i	0.963472	+	0.267807i	$0.0862991\pi$
$642$	−1.46137	−	4.49762i	−0.0576755	−	0.177507i
$643$		−	19.6903i		−	0.776512i	−0.921552	−	0.388256i	$-0.873078\pi$
$643$		−	19.6903i		−	0.776512i	0.921552	−	0.388256i	$-0.126922\pi$
$644$	−7.54583	+	14.8095i	−0.297347	+	0.583577i
$645$	0.865698	−	1.03819i	0.0340868	−	0.0408789i
$646$	−6.71211	+	20.6577i	−0.264084	+	0.812768i
$647$	31.9619	−	16.2854i	1.25655	−	0.640246i	0.306362	−	0.951915i	$-0.400888\pi$
$647$	31.9619	−	16.2854i	1.25655	−	0.640246i	0.950191	+	0.311669i	$0.100888\pi$
$648$	−5.18844	+	3.76962i	−0.203821	+	0.148085i
$649$	16.4720			0.646584
$650$	−14.1230	−	11.2046i	−0.553948	−	0.439479i
$651$	13.1247			0.514396
$652$	10.9621	−	7.96446i	0.429311	−	0.311912i
$653$	41.9580	−	21.3787i	1.64194	−	0.836611i	0.644541	−	0.764570i	$-0.277049\pi$
$653$	41.9580	−	21.3787i	1.64194	−	0.836611i	0.997402	−	0.0720415i	$-0.0229514\pi$
$654$	−0.549052	+	1.68981i	−0.0214696	+	0.0660767i
$655$	−2.42704	+	36.3201i	−0.0948323	+	1.41914i
$656$	−1.74999	+	3.43455i	−0.0683257	+	0.134097i
$657$		−	40.6916i		−	1.58753i
$658$	−2.98372	−	9.18295i	−0.116318	−	0.357989i
$659$	8.73969	−	12.0292i	0.340450	−	0.468589i	−0.604123	−	0.796891i	$-0.706476\pi$
$659$	8.73969	−	12.0292i	0.340450	−	0.468589i	0.944573	+	0.328302i	$0.106476\pi$
$660$	−2.55986	−	1.02506i	−0.0996424	−	0.0399006i
$661$	0.448654	−	2.83269i	0.0174506	−	0.110179i	−0.977425	−	0.211280i	$-0.932237\pi$
$661$	0.448654	−	2.83269i	0.0174506	−	0.110179i	0.994876	+	0.101102i	$0.0322367\pi$
$662$	4.12351	+	26.0348i	0.160265	+	1.01187i
$663$	−4.53413	+	7.61183i	−0.176091	+	0.295619i
$664$	3.50447	+	4.82350i	0.136000	+	0.187188i
$665$	30.4741	−	26.6564i	1.18174	−	1.03369i
$666$	14.1809	+	10.3030i	0.549498	+	0.399233i
$667$	4.01492	−	7.87973i	0.155458	−	0.305104i
$668$		−	0.00139884i		−	5.41229e-5i
$669$	−0.621186	−	0.316510i	−0.0240164	−	0.0122370i
$670$	17.9780	+	28.5741i	0.694552	+	1.10391i
$671$	7.54394	+	14.8058i	0.291231	+	0.571572i
$672$	0.929961	+	1.82515i	0.0358740	+	0.0704068i
$673$	6.65800	−	42.0370i	0.256647	−	1.62041i	−0.436565	−	0.899672i	$-0.643805\pi$
$673$	6.65800	−	42.0370i	0.256647	−	1.62041i	0.693213	−	0.720733i	$-0.256195\pi$
$674$	20.7638	+	20.7638i	0.799791	+	0.799791i
$675$	−12.3571	+	9.43199i	−0.475625	+	0.363037i
$676$	12.7849	−	2.35526i	0.491726	−	0.0905868i
$677$	−4.86496	+	30.7161i	−0.186975	+	1.18052i	0.698423	+	0.715685i	$0.253885\pi$
$677$	−4.86496	+	30.7161i	−0.186975	+	1.18052i	−0.885399	+	0.464832i	$0.846115\pi$
$678$	5.16134	+	1.67702i	0.198220	+	0.0644055i
$679$	43.7188	+	14.2051i	1.67777	+	0.545142i
$680$	8.65497	+	5.16411i	0.331903	+	0.198035i
$681$	1.51058	−	2.96469i	0.0578857	−	0.113607i
$682$	−14.4927			−0.554954
$683$	−7.62281	−	23.4606i	−0.291679	−	0.897695i	−0.984317	−	0.176410i	$-0.943552\pi$
$683$	−7.62281	−	23.4606i	−0.291679	−	0.897695i	0.692638	−	0.721285i	$-0.256448\pi$
$684$	−2.03754	−	12.8645i	−0.0779073	−	0.491887i
$685$	−32.9006	+	20.7001i	−1.25707	+	0.790912i
$686$	0.258387	+	0.355639i	0.00986525	+	0.0135784i
$687$	−0.605792	+	0.833801i	−0.0231124	+	0.0318115i
$688$	1.09519	−	0.173462i	0.0417538	−	0.00661316i
$689$	−27.3847	−	1.80974i	−1.04327	−	0.0689456i
$690$	2.87190	+	4.56457i	0.109332	+	0.173770i
$691$	−1.67403	−	10.5694i	−0.0636831	−	0.402079i	−0.998853	−	0.0478801i	$-0.984753\pi$
$691$	−1.67403	−	10.5694i	−0.0636831	−	0.402079i	0.935170	−	0.354199i	$-0.115247\pi$
$692$	8.75738	+	4.46211i	0.332906	+	0.169624i
$693$	−16.2422	+	16.2422i	−0.616989	+	0.616989i
$694$	3.36349	+	1.71378i	0.127676	+	0.0650544i
$695$	5.24773	+	20.7740i	0.199058	+	0.788001i
$696$	−0.494806	−	0.971112i	−0.0187556	−	0.0368099i
$697$	−16.5237	−	5.36887i	−0.625880	−	0.203361i
$698$	10.5284	+	1.66754i	0.398506	+	0.0631171i
$699$	−1.84800			−0.0698977
$700$	−8.92193	−	16.5325i	−0.337217	−	0.624870i
$701$		−	40.9079i		−	1.54507i	−0.634972	−	0.772535i	$-0.718988\pi$
$701$		−	40.9079i		−	1.54507i	0.634972	−	0.772535i	$-0.281012\pi$
$702$	0.739207	−	11.1856i	0.0278996	−	0.422172i
$703$	−27.8472	+	14.1889i	−1.05028	+	0.535144i
$704$	−1.02689	−	2.01539i	−0.0387025	−	0.0759580i
$705$	−3.05470	−	0.695302i	−0.115047	−	0.0261866i
$706$	1.18695	−	0.385662i	0.0446713	−	0.0145146i
$707$	24.2211			0.910928
$708$	−3.77591	+	1.22687i	−0.141907	+	0.0461085i
$709$	−3.07080	−	19.3883i	−0.115326	−	0.728142i	−0.975803	−	0.218652i	$-0.929834\pi$
$709$	−3.07080	−	19.3883i	−0.115326	−	0.728142i	0.860476	−	0.509490i	$-0.170166\pi$
$710$	−13.7744	+	12.0488i	−0.516945	+	0.452184i
$711$	−34.3772	+	24.9765i	−1.28925	+	0.936693i
$712$	−2.26180	−	14.2805i	−0.0847646	−	0.535182i
$713$	22.9307	+	16.6601i	0.858761	+	0.623926i
$714$	−7.46943	+	5.42686i	−0.279536	+	0.203095i
$715$	−16.0421	+	8.67249i	−0.599940	+	0.324333i
$716$	18.9080	+	13.7374i	0.706624	+	0.513393i
$717$	−2.71684	−	8.36159i	−0.101462	−	0.312269i
$718$	−3.50054	−	3.50054i	−0.130639	−	0.130639i
$719$	8.10779	+	24.9532i	0.302370	+	0.930598i	0.980646	+	0.195791i	$0.0627274\pi$
$719$	8.10779	+	24.9532i	0.302370	+	0.930598i	−0.678276	+	0.734807i	$0.737273\pi$
$720$	−6.03013	−	0.402955i	−0.224730	−	0.0150173i
$721$	−0.390123	+	0.198778i	−0.0145290	+	0.00740287i
$722$	4.01688	+	1.30516i	0.149493	+	0.0485731i
$723$	6.77575	−	4.92287i	0.251993	−	0.183084i
$724$			23.1655i			0.860940i
$725$	4.74711	+	8.79649i	0.176303	+	0.326693i
$726$	2.26820	−	2.26820i	0.0841807	−	0.0841807i
$727$	−13.4496	−	2.13021i	−0.498819	−	0.0790052i	−0.0980450	−	0.995182i	$-0.531259\pi$
$727$	−13.4496	−	2.13021i	−0.498819	−	0.0790052i	−0.400774	+	0.916177i	$0.631259\pi$
$728$	13.2113	+	2.99692i	0.489645	+	0.111073i
$729$	11.6490	+	3.78499i	0.431444	+	0.140185i
$730$	21.5598	−	25.8557i	0.797964	−	0.956964i
$731$	1.54442	+	4.75323i	0.0571223	+	0.175805i
$732$	−2.83207	−	2.83207i	−0.104676	−	0.104676i
$733$	11.0209	−	3.58090i	0.407065	−	0.132263i	−0.0983252	−	0.995154i	$-0.531349\pi$
$733$	11.0209	−	3.58090i	0.407065	−	0.132263i	0.505390	+	0.862891i	$0.331349\pi$
$734$	0.0575952	−	0.00912218i	0.00212588	−	0.000336706i
$735$	8.64079	−	0.782872i	0.318720	−	0.0288767i
$736$	−0.692024	+	4.36927i	−0.0255084	+	0.161053i
$737$	33.7293	−	5.34219i	1.24243	−	0.196782i
$738$	10.2901	−	1.62979i	0.378783	−	0.0599933i
$739$	−6.13036	−	0.970953i	−0.225509	−	0.0357171i	0.0426574	−	0.999090i	$-0.486418\pi$
$739$	−6.13036	−	0.970953i	−0.225509	−	0.0357171i	−0.268166	+	0.963373i	$0.586418\pi$
$740$	3.55174	+	14.0601i	0.130565	+	0.516860i
$741$	8.13846	+	4.84783i	0.298974	+	0.178089i
$742$	−25.4821	−	12.9838i	−0.935477	−	0.476649i
$743$		−	11.8387i		−	0.434319i	−0.976136	−	0.217160i	$-0.930321\pi$
$743$		−	11.8387i		−	0.434319i	0.976136	−	0.217160i	$-0.0696793\pi$
$744$	3.32218	−	1.07944i	0.121797	−	0.0395743i
$745$	−3.48701	+	1.49287i	−0.127754	+	0.0546947i
$746$	25.0386	−	12.7578i	0.916729	−	0.467097i
$747$	4.97961	−	15.3257i	0.182194	−	0.560737i
$748$	8.24799	−	5.99252i	0.301577	−	0.219108i
$749$	−23.0455	−	23.0455i	−0.842064	−	0.842064i
$750$	−6.08974	−	0.262593i	−0.222366	−	0.00958853i
$751$			10.0695i			0.367442i	0.982978	+	0.183721i	$0.0588143\pi$
$751$			10.0695i			0.367442i	−0.982978	+	0.183721i	$0.941186\pi$
$752$	−1.51051	−	2.07904i	−0.0550826	−	0.0758147i
$753$	0.912761	+	1.79139i	0.0332629	+	0.0652820i
$754$	−7.02938	−	1.59458i	−0.255995	−	0.0580711i
$755$	15.9832	−	6.84281i	0.581689	−	0.249036i
$756$	5.30335	−	10.4084i	0.192881	−	0.378551i
$757$	−24.4034	+	24.4034i	−0.886955	+	0.886955i	−0.994229	−	0.107275i	$-0.965788\pi$
$757$	−24.4034	+	24.4034i	−0.886955	+	0.886955i	0.107275	+	0.994229i	$0.465788\pi$
$758$	−14.0750	−	7.17157i	−0.511227	−	0.260483i
$759$	5.38809	−	0.853389i	0.195575	−	0.0309761i
$760$	5.52139	−	9.25377i	0.200282	−	0.335669i
$761$	3.95096	−	24.9454i	0.143222	−	0.904269i	−0.806514	−	0.591216i	$-0.798648\pi$
$761$	3.95096	−	24.9454i	0.143222	−	0.904269i	0.949736	−	0.313053i	$-0.101352\pi$
$762$	5.16041	−	7.10269i	0.186942	−	0.257303i
$763$	1.91553	+	12.0941i	0.0693467	+	0.437838i
$764$	−17.1831	+	12.4842i	−0.621662	+	0.451664i
$765$	−2.45792	−	27.1288i	−0.0888662	−	0.980844i
$766$	−1.04962	+	1.44467i	−0.0379242	+	0.0521981i
$767$	−9.74279	+	24.3822i	−0.351792	+	0.880391i
$768$	0.385507	+	0.385507i	0.0139108	+	0.0139108i
$769$	12.8605	+	6.55273i	0.463760	+	0.236298i	0.670227	−	0.742156i	$-0.266197\pi$
$769$	12.8605	+	6.55273i	0.463760	+	0.236298i	−0.206467	+	0.978454i	$0.566197\pi$
$770$	−18.9260	+	1.71473i	−0.682047	+	0.0617947i
$771$	−1.24962	−	0.406026i	−0.0450039	−	0.0146227i
$772$	−8.06897	+	24.8337i	−0.290408	+	0.893785i
$773$	10.3179	+	14.2014i	0.371110	+	0.510789i	0.953202	−	0.302334i	$-0.0977657\pi$
$773$	10.3179	+	14.2014i	0.371110	+	0.510789i	−0.582092	+	0.813123i	$0.697766\pi$
$774$	−2.11916	−	2.11916i	−0.0761718	−	0.0761718i
$775$	−30.2258	+	10.6169i	−1.08574	+	0.381369i
$776$	12.2346			0.439198
$777$	−13.1212	−	2.07820i	−0.470721	−	0.0745549i
$778$	−6.64285	+	20.4446i	−0.238158	+	0.732974i
$779$	−5.74032	+	17.6669i	−0.205668	+	0.632982i
$780$	3.03141	−	3.18285i	0.108542	−	0.113964i
$781$	5.72057	+	17.6061i	0.204698	+	0.629996i
$782$	−19.9389			−0.713013
$783$	−2.82177	+	5.53803i	−0.100842	+	0.197913i
$784$	5.75777	+	4.18327i	0.205635	+	0.149402i
$785$	−3.13015	+	1.34010i	−0.111720	+	0.0478301i
$786$	−8.76589	−	1.38838i	−0.312669	−	0.0495219i
$787$	−8.94959	+	12.3181i	−0.319018	+	0.439091i	−0.938167	−	0.346183i	$-0.887478\pi$
$787$	−8.94959	+	12.3181i	−0.319018	+	0.439091i	0.619149	+	0.785274i	$0.287478\pi$
$788$	−5.61770	−	4.08150i	−0.200122	−	0.145397i
$789$	−3.57863	−	4.92557i	−0.127403	−	0.175355i
$790$	−35.0769	−	2.34397i	−1.24798	−	0.0833947i
$791$	36.9403	−	5.85076i	1.31344	−	0.208029i
$792$	−2.77546	+	5.44714i	−0.0986216	+	0.193556i
$793$	−26.3779	+	2.40943i	−0.936707	+	0.0855612i
$794$	−26.2693	+	8.53541i	−0.932262	+	0.302910i
$795$	−7.85406	+	4.94156i	−0.278555	+	0.175259i
$796$	−0.0298495	+	0.0918673i	−0.00105799	+	0.00325615i
$797$	−8.99941	+	4.58543i	−0.318775	+	0.162424i	−0.606055	−	0.795422i	$-0.707249\pi$
$797$	−8.99941	+	4.58543i	−0.318775	+	0.162424i	0.287280	+	0.957847i	$0.407249\pi$
$798$	5.80232	+	7.98621i	0.205400	+	0.282709i
$799$	8.19033	−	8.19033i	0.289753	−	0.289753i
$800$	−3.61809	−	3.45101i	−0.127919	−	0.122012i
$801$	−27.6322	+	27.6322i	−0.976337	+	0.976337i
$802$	2.06901	−	13.0632i	0.0730593	−	0.461278i
$803$	−15.4604	−	30.3428i	−0.545587	−	1.07077i
$804$	−7.33392	+	3.73682i	−0.258647	+	0.131787i
$805$	31.9164	+	19.0434i	1.12491	+	0.671191i
$806$	8.57205	−	21.4524i	0.301938	−	0.755627i
$807$	−1.29198	+	1.29198i	−0.0454797	+	0.0454797i
$808$	6.13096	−	1.99207i	0.215687	−	0.0700808i
$809$	−18.7736	+	25.8397i	−0.660046	+	0.908475i	−0.999483	−	0.0321537i	$-0.989763\pi$
$809$	−18.7736	+	25.8397i	−0.660046	+	0.908475i	0.339437	+	0.940629i	$0.389763\pi$
$810$	7.63684	+	12.1379i	0.268331	+	0.426483i
$811$	33.5892	+	5.32001i	1.17948	+	0.186811i	0.715226	−	0.698893i	$-0.246324\pi$
$811$	33.5892	+	5.32001i	1.17948	+	0.186811i	0.464250	+	0.885704i	$0.346324\pi$
$812$	−6.07674	−	4.41501i	−0.213252	−	0.154936i
$813$	−2.58040	−	1.87477i	−0.0904987	−	0.0657511i
$814$	14.4889	+	2.29482i	0.507836	+	0.0804333i
$815$	−16.1351	−	25.6450i	−0.565188	−	0.898304i
$816$	−1.44437	+	1.98800i	−0.0505629	+	0.0695939i
$817$	5.08208	−	1.65127i	0.177800	−	0.0577706i
$818$	17.8387	−	17.8387i	0.623717	−	0.623717i
$819$	−14.4351	−	33.6488i	−0.504405	−	1.17578i
$820$	7.40190	+	4.41645i	0.258485	+	0.154229i
$821$	5.02384	−	2.55977i	0.175333	−	0.0893367i	−0.364121	−	0.931352i	$-0.618631\pi$
$821$	5.02384	−	2.55977i	0.175333	−	0.0893367i	0.539454	+	0.842015i	$0.318631\pi$
$822$	−4.30262	−	8.44437i	−0.150071	−	0.294531i
$823$	5.08123	−	32.0816i	0.177120	−	1.11829i	−0.725616	−	0.688100i	$-0.758445\pi$
$823$	5.08123	−	32.0816i	0.177120	−	1.11829i	0.902736	−	0.430194i	$-0.141555\pi$
$824$	−0.0824015	+	0.0824015i	−0.00287059	+	0.00287059i
$825$	−2.66866	+	5.55846i	−0.0929109	+	0.193521i
$826$	−19.3475	+	19.3475i	−0.673186	+	0.673186i
$827$	26.1360	+	35.9731i	0.908837	+	1.25091i	0.967562	+	0.252633i	$0.0812964\pi$
$827$	26.1360	+	35.9731i	0.908837	+	1.25091i	−0.0587252	+	0.998274i	$0.518704\pi$
$828$	10.6532	−	5.42806i	0.370223	−	0.188638i
$829$	−5.22146	+	16.0700i	−0.181349	+	0.558134i	−0.999866	−	0.0163473i	$-0.994796\pi$
$829$	−5.22146	+	16.0700i	−0.181349	+	0.558134i	0.818518	+	0.574481i	$0.194796\pi$
$830$	11.2841	−	7.09967i	0.391678	−	0.246433i
$831$	−10.6974	+	3.47581i	−0.371090	+	0.120575i
$832$	3.59060	−	0.327975i	0.124482	−	0.0113705i
$833$	−14.5632	+	28.5818i	−0.504583	+	0.990300i
$834$	−5.15981	+	0.817233i	−0.178670	+	0.0282985i
$835$	−0.00312095		0.000208553i	−0.000108005		7.21729e-6i
$836$	−6.40711	−	8.81863i	−0.221595	−	0.304999i
$837$	−16.1161	−	11.7091i	−0.557055	−	0.404724i
$838$	−8.46849	+	11.6559i	−0.292539	+	0.402646i
$839$	−13.0696	−	2.07001i	−0.451211	−	0.0714648i	−0.0733067	−	0.997309i	$-0.523355\pi$
$839$	−13.0696	−	2.07001i	−0.451211	−	0.0714648i	−0.377904	+	0.925845i	$0.623355\pi$
$840$	4.21073	−	1.80272i	0.145284	−	0.0621997i
$841$	−20.2282	−	14.6967i	−0.697525	−	0.506782i
$842$	−10.7934	+	21.1833i	−0.371966	+	0.730025i
$843$	−5.41139			−0.186378
$844$	−4.61478	−	14.2028i	−0.158847	−	0.488882i
$845$	−3.34870	−	28.8754i	−0.115199	−	0.993342i
$846$	−2.14633	+	6.60572i	−0.0737923	+	0.227109i
$847$	6.83129	−	21.0245i	0.234726	−	0.722412i
$848$	−7.51801	−	1.19074i	−0.258169	−	0.0408900i
$849$	−8.86705			−0.304316
$850$	12.8120	−	18.5401i	0.439447	−	0.635921i
$851$	−20.2867	−	20.2867i	−0.695417	−	0.695417i
$852$	−2.62267	−	3.60980i	−0.0898512	−	0.123670i
$853$	10.6303	−	32.7168i	0.363975	−	1.12020i	−0.586645	−	0.809844i	$-0.699552\pi$
$853$	10.6303	−	32.7168i	0.363975	−	1.12020i	0.950620	−	0.310357i	$-0.100448\pi$
$854$	−26.2513	−	8.52955i	−0.898300	−	0.291875i
$855$	−29.0057	+	2.62797i	−0.991974	+	0.0898747i
$856$	−7.72878	−	3.93801i	−0.264164	−	0.134598i
$857$	28.8700	+	28.8700i	0.986181	+	0.986181i	0.999906	−	0.0137250i	$-0.00436894\pi$
$857$	28.8700	+	28.8700i	0.986181	+	0.986181i	−0.0137250	+	0.999906i	$0.504369\pi$
$858$	−1.75294	−	4.08616i	−0.0598443	−	0.139499i
$859$	−8.04293	+	11.0701i	−0.274421	+	0.377709i	−0.923876	−	0.382692i	$-0.874997\pi$
$859$	−8.04293	+	11.0701i	−0.274421	+	0.377709i	0.649455	+	0.760400i	$0.274997\pi$
$860$	−0.223726	−	2.46934i	−0.00762901	−	0.0842037i
$861$	−6.38800	+	4.64115i	−0.217702	+	0.158170i
$862$	−2.69479	−	17.0142i	−0.0917847	−	0.579506i
$863$	−18.0383	+	24.8275i	−0.614030	+	0.845139i	−0.996901	−	0.0786622i	$-0.974935\pi$
$863$	−18.0383	+	24.8275i	−0.614030	+	0.845139i	0.382872	+	0.923802i	$0.374935\pi$
$864$	0.486368	−	3.07081i	0.0165466	−	0.104471i
$865$	11.2610	−	18.8733i	0.382886	−	0.641711i
$866$	2.33477	−	0.369792i	0.0793388	−	0.0125660i
$867$	−1.61047	−	0.820574i	−0.0546943	−	0.0278681i
$868$	17.0226	−	17.0226i	0.577786	−	0.577786i
$869$	−16.1447	+	31.6858i	−0.547671	+	1.07487i
$870$	−2.24041	+	0.959176i	−0.0759571	+	0.0325191i
$871$	−12.0424	+	53.0865i	−0.408041	+	1.79877i
$872$	1.47955	+	2.90379i	0.0501040	+	0.0983347i
$873$	−19.4365	−	26.7521i	−0.657826	−	0.905420i
$874$			21.3184i			0.721104i
$875$	−38.2157	+	17.4408i	−1.29193	+	0.589607i
$876$	5.80401	+	5.80401i	0.196099	+	0.196099i
$877$	38.7987	−	28.1889i	1.31014	−	0.951872i	0.310140	−	0.950691i	$-0.399624\pi$
$877$	38.7987	−	28.1889i	1.31014	−	0.951872i	0.999999	−	0.00118054i	$-0.000375779\pi$
$878$	−0.0693461	+	0.213425i	−0.00234032	+	0.00720276i
$879$	12.6422	−	6.44153i	0.426412	−	0.217268i
$880$	−4.64963	+	1.99062i	−0.156739	+	0.0671038i
$881$	25.1339	−	8.16650i	0.846783	−	0.275137i	0.146685	−	0.989183i	$-0.453140\pi$
$881$	25.1339	−	8.16650i	0.846783	−	0.275137i	0.700098	+	0.714047i	$0.253140\pi$
$882$		−	19.2356i		−	0.647696i
$883$	−21.1815	−	10.7925i	−0.712816	−	0.363198i	0.0596800	−	0.998218i	$-0.480992\pi$
$883$	−21.1815	−	10.7925i	−0.712816	−	0.363198i	−0.772496	+	0.635020i	$0.780992\pi$
$884$	3.99176	+	15.7532i	0.134257	+	0.529839i
$885$	2.17431	+	8.60732i	0.0730885	+	0.289332i
$886$	19.6106	+	3.10602i	0.658832	+	0.104349i
$887$	21.2518	−	3.36595i	0.713565	−	0.113018i	0.210911	−	0.977505i	$-0.432357\pi$
$887$	21.2518	−	3.36595i	0.713565	−	0.113018i	0.502654	+	0.864488i	$0.332357\pi$
$888$	−3.49223	+	0.553115i	−0.117192	+	0.0185613i
$889$	9.46503	−	59.7599i	0.317447	−	2.00428i
$890$	−32.1982	+	2.91722i	−1.07929	+	0.0977853i
$891$	14.3278	−	2.26929i	0.479998	−	0.0760242i
$892$	−1.21619	+	0.395163i	−0.0407209	+	0.0132310i
$893$	−8.75698	−	8.75698i	−0.293041	−	0.293041i
$894$	−0.285787	−	0.879562i	−0.00955815	−	0.0294170i
$895$	33.4685	−	40.1373i	1.11873	−	1.34164i
$896$	3.57337	+	1.16106i	0.119378	+	0.0387882i
$897$	−1.92371	+	8.48030i	−0.0642309	+	0.283149i
$898$	22.8554	+	3.61994i	0.762694	+	0.120799i
$899$	−9.05726	+	9.05726i	−0.302077	+	0.302077i
$900$	−1.79806	+	13.3937i	−0.0599354	+	0.446456i
$901$		−	34.3079i		−	1.14296i
$902$	7.05384	−	5.12492i	0.234867	−	0.170641i
$903$	2.16021	+	0.701893i	0.0718871	+	0.0233575i
$904$	8.86931	−	4.51914i	0.294989	−	0.150304i
$905$	51.6844	+	3.45374i	1.71805	+	0.114806i
$906$	1.30995	+	4.03161i	0.0435201	+	0.133941i
$907$	−22.7697	−	22.7697i	−0.756054	−	0.756054i	0.219547	−	0.975602i	$-0.429542\pi$
$907$	−22.7697	−	22.7697i	−0.756054	−	0.756054i	−0.975602	+	0.219547i	$0.929542\pi$
$908$	−1.88596	−	5.80440i	−0.0625879	−	0.192626i
$909$	−14.0958	−	10.2412i	−0.467527	−	0.339679i
$910$	8.65608	−	29.0289i	0.286946	−	0.962299i
$911$	26.4205	−	19.1956i	0.875352	−	0.635980i	−0.0566660	−	0.998393i	$-0.518047\pi$
$911$	26.4205	−	19.1956i	0.875352	−	0.635980i	0.932018	+	0.362413i	$0.118047\pi$
$912$	2.12554	+	1.54430i	0.0703837	+	0.0511367i
$913$	−2.10968	−	13.3200i	−0.0698201	−	0.440827i
$914$	−19.2502	+	13.9861i	−0.636741	+	0.462619i
$915$	−6.74085	+	5.89639i	−0.222846	+	0.194928i
$916$	0.295726	+	1.86714i	0.00977108	+	0.0616922i
$917$	−58.1710	+	18.9009i	−1.92098	+	0.624163i
$918$	14.0134			0.462512
$919$	29.4865	−	9.58073i	0.972669	−	0.316039i	0.220776	−	0.975325i	$-0.429141\pi$
$919$	29.4865	−	9.58073i	0.972669	−	0.316039i	0.751893	+	0.659285i	$0.229141\pi$
$920$	9.64507	+	2.19538i	0.317989	+	0.0723797i
$921$	−6.03720	−	11.8487i	−0.198932	−	0.390427i
$922$	27.0334	−	13.7742i	0.890299	−	0.453630i
$923$	−29.4445	−	1.94586i	−0.969176	−	0.0640488i
$924$		−	4.63337i		−	0.152427i
$925$	31.8989	−	5.82805i	1.04883	−	0.191625i
$926$	27.3482			0.898718
$927$	0.311085	+	0.0492710i	0.0102174	+	0.00161827i
$928$	−1.90129	−	0.617766i	−0.0624128	−	0.0202792i
$929$	19.1837	+	37.6502i	0.629398	+	1.23526i	0.956901	+	0.290414i	$0.0937929\pi$
$929$	19.1837	+	37.6502i	0.629398	+	1.23526i	−0.327503	+	0.944850i	$0.606207\pi$
$930$	−1.91303	−	7.57303i	−0.0627308	−	0.248329i
$931$	30.5592	+	15.5707i	1.00154	+	0.510309i
$932$	−2.39684	+	2.39684i	−0.0785112	+	0.0785112i
$933$	−7.96959	−	4.06071i	−0.260913	−	0.132942i
$934$	−3.97696	−	25.1095i	−0.130130	−	0.821609i
$935$	−12.1402	−	19.2955i	−0.397026	−	0.631029i
$936$	−6.42135	−	7.33013i	−0.209888	−	0.239593i
$937$	−39.8406	+	6.31013i	−1.30154	+	0.206143i	−0.768446	−	0.639915i	$-0.778970\pi$
$937$	−39.8406	+	6.31013i	−1.30154	+	0.206143i	−0.533091	+	0.846058i	$0.678970\pi$
$938$	−33.3425	+	45.8920i	−1.08867	+	1.49843i
$939$	6.96317	+	9.58398i	0.227234	+	0.312761i
$940$	−4.86373	+	3.06012i	−0.158637	+	0.0998102i
$941$	5.26336	+	33.2316i	0.171581	+	1.08332i	0.911704	+	0.410847i	$0.134767\pi$
$941$	5.26336	+	33.2316i	0.171581	+	1.08332i	−0.740123	+	0.672471i	$0.765233\pi$
$942$	−0.256540	−	0.789550i	−0.00835853	−	0.0257249i
$943$	−17.0521			−0.555293
$944$	−3.30610	+	6.48858i	−0.107604	+	0.211185i
$945$	−22.4315	−	13.3841i	−0.729696	−	0.435384i
$946$	−2.38537	−	0.775054i	−0.0775551	−	0.0251992i
$947$	−11.7377	−	3.81381i	−0.381424	−	0.123932i	0.112028	−	0.993705i	$-0.464265\pi$
$947$	−11.7377	−	3.81381i	−0.381424	−	0.123932i	−0.493452	+	0.869773i	$0.664265\pi$
$948$	1.34086	−	8.46586i	0.0435491	−	0.274958i
$949$	54.0584	−	4.93783i	1.75481	−	0.160289i
$950$	−19.8228	−	13.6984i	−0.643137	−	0.444434i
$951$	1.18060	+	1.18060i	0.0382836	+	0.0382836i
$952$	−2.64920	+	16.7264i	−0.0858612	+	0.542106i
$953$	−15.4284	−	30.2799i	−0.499775	−	0.980863i	−0.993775	−	0.111402i	$-0.964466\pi$
$953$	−15.4284	−	30.2799i	−0.499775	−	0.980863i	0.494001	−	0.869462i	$-0.335534\pi$
$954$	9.33982	+	18.3304i	0.302388	+	0.593470i
$955$	25.2917	+	40.1983i	0.818419	+	1.30079i
$956$	−14.3687	−	7.32120i	−0.464716	−	0.236784i
$957$			2.46529i			0.0796914i
$958$	4.78087	−	9.38298i	0.154463	−	0.303150i
$959$	−52.8406	−	38.3910i	−1.70631	−	1.23971i
$960$	0.917576	−	0.802626i	0.0296146	−	0.0259046i
$961$	−5.90877	−	8.13272i	−0.190605	−	0.262346i
$962$	−11.9666	+	20.0894i	−0.385820	+	0.647708i
$963$	3.66751	+	23.1557i	0.118184	+	0.746183i
$964$	2.40318	−	15.1731i	0.0774011	−	0.488691i
$965$	54.2033	+	21.7051i	1.74487	+	0.698711i
$966$	−5.32630	+	7.33102i	−0.171371	+	0.235872i
$967$	−10.2124	−	31.4304i	−0.328407	−	1.01073i	−0.969879	−	0.243587i	$-0.921676\pi$
$967$	−10.2124	−	31.4304i	−0.328407	−	1.01073i	0.641472	−	0.767147i	$-0.278324\pi$
$968$		−	5.88368i		−	0.189109i
$969$	−5.37613	+	10.5513i	−0.172706	+	0.338955i
$970$	1.82406	−	27.2966i	0.0585670	−	0.876440i
$971$	−1.49097	+	4.58875i	−0.0478476	+	0.147260i	−0.972126	−	0.234460i	$-0.924668\pi$
$971$	−1.49097	+	4.58875i	−0.0478476	+	0.147260i	0.924278	+	0.381719i	$0.124668\pi$
$972$	−11.4260	+	5.82184i	−0.366489	+	0.186736i
$973$	−29.1270	+	21.1620i	−0.933768	+	0.678422i
$974$	−37.1983			−1.19191
$975$	−6.64929	−	7.23789i	−0.212948	−	0.231798i
$976$	−7.34637			−0.235152
$977$	1.08893	−	0.791153i	0.0348379	−	0.0253112i	−0.570230	−	0.821485i	$-0.693146\pi$
$977$	1.08893	−	0.791153i	0.0348379	−	0.0253112i	0.605068	+	0.796174i	$0.293146\pi$
$978$	6.58212	−	3.35376i	0.210473	−	0.107241i
$979$	−10.1061	+	31.1034i	−0.322992	+	0.994068i
$980$	10.1917	−	12.2224i	0.325561	−	0.390431i
$981$	3.99889	−	7.84827i	0.127675	−	0.250576i
$982$			31.0435i			0.990639i
$983$	−2.27959	−	7.01584i	−0.0727075	−	0.223771i	0.908099	−	0.418756i	$-0.137534\pi$
$983$	−2.27959	−	7.01584i	−0.0727075	−	0.223771i	−0.980806	+	0.194986i	$0.937534\pi$
$984$	−1.23525	+	1.70018i	−0.0393783	+	0.0541996i
$985$	−9.94373	+	11.9251i	−0.316834	+	0.379965i
$986$	1.40957	−	8.89966i	0.0448898	−	0.283423i
$987$	−0.823484	−	5.19928i	−0.0262118	−	0.165495i
$988$	16.8431	−	4.26793i	0.535852	−	0.135781i
$989$	2.88322	+	3.96842i	0.0916812	+	0.126188i
$990$	11.7393	+	7.00442i	0.373099	+	0.222615i
$991$	10.7756	+	7.82892i	0.342298	+	0.248694i	0.745631	−	0.666359i	$-0.232148\pi$
$991$	10.7756	+	7.82892i	0.342298	+	0.248694i	−0.403333	+	0.915053i	$0.632148\pi$
$992$	2.90882	−	5.70888i	0.0923552	−	0.181257i
$993$			14.3708i			0.456044i
$994$	−27.3987	−	13.9603i	−0.869035	−	0.442795i
$995$	0.200514	+	0.0802935i	0.00635673	+	0.00254547i
$996$	1.47570	+	2.89622i	0.0467593	+	0.0917703i
$997$	7.08260	+	13.9004i	0.224308	+	0.440230i	0.975544	−	0.219804i	$-0.0705419\pi$
$997$	7.08260	+	13.9004i	0.224308	+	0.440230i	−0.751236	+	0.660034i	$0.770542\pi$
$998$	−0.963699	+	6.08456i	−0.0305054	+	0.192603i
$999$	14.2579	+	14.2579i	0.451099	+	0.451099i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	650.2.ba.b.73.10	✓	144
13.5	odd	4		650.2.bd.b.473.10	yes	144
25.12	odd	20		650.2.bd.b.437.10	yes	144
325.187	even	20	inner	650.2.ba.b.187.10	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
650.2.ba.b.73.10	✓	144	1.1	even	1	trivial
650.2.ba.b.187.10	yes	144	325.187	even	20	inner
650.2.bd.b.437.10	yes	144	25.12	odd	20
650.2.bd.b.473.10	yes	144	13.5	odd	4

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 650 = 2 \cdot 5^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	650.ba (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 - 0.587785i) q^{2} +(0.485767 - 0.247511i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-2.07582 - 0.831238i) q^{5} +(0.247511 - 0.485767i) q^{6} -3.75726i q^{7} +(-0.309017 - 0.951057i) q^{8} +(-1.58865 + 2.18659i) q^{9} +O(q^{10})\)	\(q+(0.809017 - 0.587785i) q^{2} +(0.485767 - 0.247511i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-2.07582 - 0.831238i) q^{5} +(0.247511 - 0.485767i) q^{6} -3.75726i q^{7} +(-0.309017 - 0.951057i) q^{8} +(-1.58865 + 2.18659i) q^{9} +(-2.16797 + 0.547653i) q^{10} +(-0.353844 + 2.23408i) q^{11} +(-0.0852863 - 0.538477i) q^{12} +(-3.09764 - 1.84517i) q^{13} +(-2.20846 - 3.03969i) q^{14} +(-1.21411 + 0.110000i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(2.04625 - 4.01599i) q^{17} +2.70277i q^{18} +(-4.29384 - 2.18782i) q^{19} +(-1.43202 + 1.71736i) q^{20} +(-0.929961 - 1.82515i) q^{21} +(1.02689 + 2.01539i) q^{22} +(0.692024 - 4.36927i) q^{23} +(-0.385507 - 0.385507i) q^{24} +(3.61809 + 3.45101i) q^{25} +(-3.59060 + 0.327975i) q^{26} +(-0.486368 + 3.07081i) q^{27} +(-3.57337 - 1.16106i) q^{28} +(1.90129 + 0.617766i) q^{29} +(-0.917576 + 0.802626i) q^{30} +(-2.90882 + 5.70888i) q^{31} -1.00000 q^{32} +(0.381073 + 1.17282i) q^{33} +(-0.705089 - 4.45176i) q^{34} +(-3.12318 + 7.79941i) q^{35} +(1.58865 + 2.18659i) q^{36} +(3.81202 - 5.24679i) q^{37} +(-4.75976 + 0.753871i) q^{38} +(-1.96143 - 0.129622i) q^{39} +(-0.149090 + 2.23109i) q^{40} +(-0.603006 - 3.80723i) q^{41} +(-1.82515 - 0.929961i) q^{42} +(-0.784071 + 0.784071i) q^{43} +(2.01539 + 1.02689i) q^{44} +(5.11533 - 3.21842i) q^{45} +(-2.00833 - 3.94158i) q^{46} +(2.44406 + 0.794122i) q^{47} +(-0.538477 - 0.0852863i) q^{48} -7.11700 q^{49} +(4.95554 + 0.665266i) q^{50} -2.45730i q^{51} +(-2.71208 + 2.37584i) q^{52} +(6.78209 - 3.45565i) q^{53} +(1.41150 + 2.77022i) q^{54} +(2.59157 - 4.34343i) q^{55} +(-3.57337 + 1.16106i) q^{56} -2.62731 q^{57} +(1.90129 - 0.617766i) q^{58} +(-1.13920 - 7.19264i) q^{59} +(-0.270563 + 1.18868i) q^{60} +(5.94334 - 4.31809i) q^{61} +(1.00231 + 6.32835i) q^{62} +(8.21557 + 5.96896i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(4.89638 + 6.40511i) q^{65} +(0.997662 + 0.724844i) q^{66} +(-4.66542 - 14.3587i) q^{67} +(-3.18711 - 3.18711i) q^{68} +(-0.745278 - 2.29373i) q^{69} +(2.05767 + 8.14561i) q^{70} +(7.29221 - 3.71557i) q^{71} +(2.57049 + 0.835202i) q^{72} +(-12.1802 + 8.84942i) q^{73} -6.48540i q^{74} +(2.61171 + 0.780870i) q^{75} +(-3.40761 + 3.40761i) q^{76} +(8.39402 + 1.32948i) q^{77} +(-1.66302 + 1.04803i) q^{78} +(14.9524 + 4.85833i) q^{79} +(1.19079 + 1.89262i) q^{80} +(-1.98181 - 6.09938i) q^{81} +(-2.72568 - 2.72568i) q^{82} +(-5.67036 + 1.84241i) q^{83} +(-2.02320 + 0.320443i) q^{84} +(-7.58590 + 6.63557i) q^{85} +(-0.173462 + 1.09519i) q^{86} +(1.07649 - 0.170499i) q^{87} +(2.23408 - 0.353844i) q^{88} +(14.2805 + 2.26180i) q^{89} +(2.24665 - 5.61047i) q^{90} +(-6.93277 + 11.6386i) q^{91} +(-3.94158 - 2.00833i) q^{92} +3.49315i q^{93} +(2.44406 - 0.794122i) q^{94} +(7.09465 + 8.11073i) q^{95} +(-0.485767 + 0.247511i) q^{96} +(-3.78071 + 11.6358i) q^{97} +(-5.75777 + 4.18327i) q^{98} +(-4.32288 - 4.32288i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q + 36 q^{2} - 36 q^{4} + 36 q^{8} - 20 q^{9}+O(q^{10}) \) 144 * q + 36 * q^2 - 36 * q^4 + 36 * q^8 - 20 * q^9	\( 144 q + 36 q^{2} - 36 q^{4} + 36 q^{8} - 20 q^{9} + 6 q^{13} + 8 q^{15} - 36 q^{16} - 6 q^{17} - 20 q^{19} - 6 q^{21} + 12 q^{23} + 2 q^{25} + 14 q^{26} - 24 q^{27} + 20 q^{29} + 12 q^{30} - 6 q^{31} - 144 q^{32} - 54 q^{33} + 6 q^{34} + 40 q^{35} + 20 q^{36} - 60 q^{37} + 20 q^{39} + 52 q^{41} + 6 q^{42} - 12 q^{43} - 6 q^{45} + 28 q^{46} + 50 q^{47} - 160 q^{49} - 22 q^{50} + 6 q^{52} + 20 q^{53} - 6 q^{54} - 32 q^{55} - 28 q^{57} + 20 q^{58} - 16 q^{59} - 12 q^{60} + 12 q^{61} + 6 q^{62} - 70 q^{63} - 36 q^{64} + 44 q^{65} - 16 q^{66} - 8 q^{67} - 6 q^{68} + 26 q^{69} + 10 q^{70} + 72 q^{71} - 52 q^{73} + 32 q^{75} - 56 q^{77} - 50 q^{78} - 20 q^{79} + 124 q^{81} - 22 q^{82} + 70 q^{83} - 6 q^{84} - 18 q^{85} - 8 q^{86} + 8 q^{87} + 28 q^{89} - 14 q^{90} - 26 q^{91} + 12 q^{92} + 50 q^{94} - 46 q^{95} + 28 q^{97} - 20 q^{98} + 40 q^{99}+O(q^{100}) \) 144 * q + 36 * q^2 - 36 * q^4 + 36 * q^8 - 20 * q^9 + 6 * q^13 + 8 * q^15 - 36 * q^16 - 6 * q^17 - 20 * q^19 - 6 * q^21 + 12 * q^23 + 2 * q^25 + 14 * q^26 - 24 * q^27 + 20 * q^29 + 12 * q^30 - 6 * q^31 - 144 * q^32 - 54 * q^33 + 6 * q^34 + 40 * q^35 + 20 * q^36 - 60 * q^37 + 20 * q^39 + 52 * q^41 + 6 * q^42 - 12 * q^43 - 6 * q^45 + 28 * q^46 + 50 * q^47 - 160 * q^49 - 22 * q^50 + 6 * q^52 + 20 * q^53 - 6 * q^54 - 32 * q^55 - 28 * q^57 + 20 * q^58 - 16 * q^59 - 12 * q^60 + 12 * q^61 + 6 * q^62 - 70 * q^63 - 36 * q^64 + 44 * q^65 - 16 * q^66 - 8 * q^67 - 6 * q^68 + 26 * q^69 + 10 * q^70 + 72 * q^71 - 52 * q^73 + 32 * q^75 - 56 * q^77 - 50 * q^78 - 20 * q^79 + 124 * q^81 - 22 * q^82 + 70 * q^83 - 6 * q^84 - 18 * q^85 - 8 * q^86 + 8 * q^87 + 28 * q^89 - 14 * q^90 - 26 * q^91 + 12 * q^92 + 50 * q^94 - 46 * q^95 + 28 * q^97 - 20 * q^98 + 40 * q^99

Introduction

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